Free Online Tools
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⚡ Generators
Handwriting Generator
Convert typed text into an image with handwriting appearance. Useful for adding a personal touch to digital work.
Resume Generator
Fill a simple printable A4 CV from a form with personal data, education and experience.
Favicon Generator
Generate a favicon from text/emoji in all common sizes (16, 32, 48, 64, 192, 512). PNG download.
Pix QR Code Generator
Generate Brazilian Pix QR Code (BR Code), static or with amount, from Pix key, name, city and identifier. Ready to scan.
Wi-Fi QR Code
Generate a QR Code to auto-connect to a Wi-Fi network. Works with modern smartphones (iOS, Android) via camera scan.
Promissory Note Generator
Generate a Brazilian promissory note from creditor, debtor, value and due date. Ready to print.
Receipt Generator
Generate a payment receipt from payer, payee, value and description. Printable A4.
Random Words Generator
Generate random words in Portuguese or English. Useful for brainstorming, games, UI tests and identifier generation.
Batch CPF Generator
Generate multiple valid CPFs at once (up to 1000) for software testing. With or without formatting.
Batch CNPJ Generator
Generate multiple valid CNPJs at once (up to 1000) for software testing. With or without formatting.
NFe Key Generator
Generate structurally valid 44-digit NFe access keys (mod-11 DV) for software testing. For test environments only.
CPF Generator
Generate mathematically valid Brazilian CPF numbers for software testing and development. With or without formatting. For test use only.
QR Code Generator
Generate QR Codes from any text, URL, email or phone number. Instant PNG download, processed directly in your browser.
CNPJ Generator
Generate mathematically valid Brazilian CNPJ numbers for software testing. With or without formatting. For test use only.
Alphanumeric CNPJ Generator
Generate valid Brazilian alphanumeric CNPJ numbers in the new Receita Federal format (IN RFB 2.119/2022), effective July 2026. Uses the official SERPRO algorithm. For test use only.
PIS/PASEP Generator
Generate mathematically valid Brazilian PIS/PASEP numbers for software testing. Follows the official check-digit algorithm. For test use only.
RENAVAM Generator
Generate mathematically valid Brazilian RENAVAM vehicle registration numbers for automotive software testing. Correct check digit. For test use only.
Brazilian Voter ID Generator
Generate mathematically valid Brazilian voter ID (Título de Eleitor) numbers for software testing. Follows the TSE official algorithm. For test use only.
CNH Generator
Generate mathematically valid Brazilian driver's license (CNH) numbers for testing. Follows the DETRAN algorithm. For test use only.
Credit Card Number Generator
Generate valid credit card numbers using the Luhn algorithm for e-commerce and payment testing. Supports Visa, MasterCard and Elo. For test use only.
CEP Generator
Generate Brazilian postal codes (CEP) by state for software testing. Numbers within the real postal code ranges per UF. For test use only.
RG Generator
Generate mathematically valid Brazilian RG (identity) numbers in the São Paulo format for software testing. For test use only.
Brazilian Certificate Number Generator
Generate valid Brazilian birth, marriage or death certificate numbers for software testing. Standard 32-digit CNJ format. For test use only.
Brazilian Bank Account Generator
Generate fictitious Brazilian bank account data (bank, branch, account number and check digit) for software testing.
Random Number Generator
Generate random numbers between a defined minimum and maximum. Option for unique numbers (no repetition) and configurable quantity.
Lorem Ipsum Generator
Generate Lorem Ipsum placeholder text for prototypes and layouts. Choose between paragraphs, sentences or words.
Brazilian License Plate Generator
Generate Brazilian vehicle license plates in the old format (AAA-0000) or Mercosul format (AAA-0A00). Random letters and numbers.
Username Generator
Generate creative nicknames for games, social networks and chats. Random combinations of adjectives and nouns.
Name Generator
Generate random Brazilian names (male, female or both) for software testing and database population.
Company Data Generator
Generate fictitious company data (company name, CNPJ and type) for software testing. Mathematically valid CNPJ.
Person Data Generator
Generate complete fictitious person profiles: name, CPF, date of birth, CEP and phone number. Mathematically valid data for testing.
Brazilian State Tax ID Generator
Generate valid Brazilian State Tax IDs (Inscrição Estadual) for SP, RJ, MG, RS, PR and BA. For fiscal software and SEFAZ integration testing.
Vehicle Data Generator
Generate complete fictitious vehicle data: make, model, year, color, license plate and valid RENAVAM. For automotive software and fleet system testing.
Placeholder Image Generator
Generate placeholder image URLs with custom dimensions and colors for use in prototypes and layouts. Compatible with placehold.co.
UUID Generator
Generate random UUID v4 identifiers with one click. Copy individually or in bulk. Processed in the browser, no data sent to servers.
Mega-Sena Number Generator
Generate random number combinations for the Brazilian Mega-Sena lottery with 6 to 15 unique numbers between 1 and 60.
Token / API Key Generator
Generate cryptographically secure random tokens: hexadecimal, alphanumeric, Base58 or UUID. Ideal for API keys, secrets and session tokens.
PIN Generator
Generate random PINs (Personal Identification Numbers) with configurable length from 4 to 16 digits.
Barcode Generator
Generate barcodes in CODE128, EAN-13, EAN-8, CODE39 and UPC formats. Export as PNG. Processed entirely in your browser.
Color Scheme Generator
Generate harmonic color palettes from a base color: complementary, analogous, triadic, tetradic and split-complementary. Copy HEX codes with one click.
NanoID / ULID Generator
Generate modern unique identifiers: NanoID (URL-safe, 21 chars by default) and ULID (time-sortable, 26 chars). Compact UUID alternatives for modern databases. Processed in the browser.
SVG Pattern Generator
Create repeatable SVG patterns for website backgrounds: dots, lines, checkerboard, grid, diagonal and hexagons. Customize colors and size. Copy the SVG code or CSS background-image.
MAC Address Generator
Generate random MAC addresses in multiple formats (colon, hyphen, Cisco dot) with known OUI prefixes (VMware, VirtualBox, Apple, Intel) or fully random. Everything in your browser.
IPv6 ULA Generator
Generate IPv6 ULA prefixes (Unique Local Addresses, fc00::/7) following RFC 4193 from a random Global ID. IPv6 equivalent of 192.168.x.x and 10.x.x.x networks. Everything in your browser.
Random Port Generator
Pick random TCP/UDP ports inside the ephemeral range (49152–65535) or in any custom interval. Avoids well-known ports reserved by IANA. Everything in your browser.
Checkerboard Pattern (SVG) Generator
Create checkerboard SVG patterns: square size, colors and dimensions. Vector output ready for backgrounds, transparency placeholders and mockups. Everything in your browser.
Haiku Generator
Pick random Portuguese haikus (5-7-5 syllable Japanese poems) from a curated list. Great for inspiration, creative prompts or simple appreciation. Everything in your browser.
Random String Generator
Generate customizable random strings — set the alphabet (A-Z, a-z, 0-9, hex, base32, base58, symbols), length and quantity. Useful for tokens, IDs and fixtures. Everything in your browser.
UUID v7 Generator
Generate UUID v7 — time-ordered UUIDs (48-bit timestamp ms + random). Ideal as primary key in databases. Everything in your browser.
Snowflake ID Generator
Generate Twitter Snowflake-style IDs — 64-bit (timestamp + machine ID + sequence). Unique, ordered and short. Everything in your browser.
Identicon Generator
Generate Identicon avatars (GitHub style) from any text (email, username, hash). Deterministic — same input gives same image. Everything in your browser.
Favicon SVG Generator
Create a favicon.svg from an emoji or letter with configurable background color. Ready to drop into a <link rel="icon">.
Apple Touch Icon Generator
Generate apple-touch-icon.png at 180x180 from an emoji or text, with configurable background. Save directly from the page.
ISBN Generator
Generate valid ISBN-10 and ISBN-13 numbers for testing, with correct check digit. Useful for testing validators.
ISSN Generator
Generate valid ISSN codes (8 digits with mod-11 check digit) for testing.
IMEI Generator (test)
Generate fictitious 15-digit IMEI with correct Luhn check digit. For testing only.
VIN Generator (test)
Generate Vehicle Identification Numbers passing the check-digit algorithm. For testing.
tar Command Builder
Build tar commands (create, extract, list) with gz/bz2/xz/zst compression and exclusion patterns.
ffmpeg Command Builder
Build common ffmpeg commands: convert format, compress, trim, extract audio, GIF and resize.
rsync Command Builder
Build rsync command with archive, compression, dry-run, exclusions, delete and remote SSH.
find Command Builder
Build find commands by name, type, size, mtime and -exec/-delete actions.
curl Form Builder
Build curl commands with multipart -F or urlencoded -d, including @file fields with content type.
Programmer Quote Generator
Random famous programmer quote generator. Useful for README epigraphs and slides.
Random Groups Generator
Split a name list into N random balanced groups. Useful for class teams or events.
Pi to N decimals
Show π (pi) with up to 1000 decimal places. Useful for memorization practice.
CUID2 Generator
Generate CUID2 (collision-resistant unique ID v2) identifiers — short, safe, and optimized for URLs, databases and distributed systems.
Coupon Code Generator
Generate random coupon codes in formats like AAAA-NNNN, AANN-AANN or custom — for promos, vouchers and disposable codes.
Random Date Generator
Generate random dates within a defined range — useful for seeding test databases, app fixtures or mock spreadsheets.
Random Coordinate Generator
Generate random geographic coordinates (latitude and longitude) — globally valid or country-restricted. Useful for map fixtures and simulations.
Random IPv4 Generator
Generate random IPv4 addresses (public) — excludes private (10.x, 172.16-31.x, 192.168.x) and reserved (127.x, 169.254.x) ranges. For test fixtures.
Random Bytes Generator
Generate random bytes in hex, base64 or binary — using browser crypto.getRandomValues. For cryptographically secure keys, salts and tokens.
Random Emoji Generator
Generate a sequence of random emojis — pick theme (general, food, animals, sports) and quantity. For design, mockups and messages.
JCB Card Generator (fake)
Generate fake JCB card numbers for testing (with valid Luhn). Development only — not accepted in real transactions.
Diners Club Card Generator (fake)
Generate fake Diners Club card numbers (14 digits, BIN 36/300-305) with valid Luhn. For testing validation in development.
American Express Card Generator (fake)
Generate fake American Express card numbers (15 digits, BIN 34/37) with valid Luhn. Validation testing only.
Portugal Postal Code Generator (fake)
Generate Portuguese postal codes (####-### format, prefixes 1000–9999). For fixtures only — does not match real addresses.
Correios Tracking Code Generator (fake)
Generate Brazilian Correios tracking codes (AA999999999BR with valid check digit). Testing only — not real shipments.
Random Color Generator
Generate random colors in hex, rgb, hsl. Useful for design inspiration.
Random Timestamp Generator
Generate random Unix timestamps within a date range. Useful for test data.
Random Time Generator
Generate random times (HH:MM:SS) within a window.
Random GPS Coordinate Generator
Generate random latitude/longitude inside a bounding box.
RPG Character Generator
Random RPG character: name, class, race, attributes (simplified DnD 5e).
RPG Villain Generator
Random villain with epithet, motivation, secret weakness and ongoing plan.
AWS S3 Command Builder
Build aws s3 cp/sync/ls/rm commands with bucket, ACL, recursive and profile.
kubectl Command Builder
Build common kubectl commands with namespace, labels and output formats.
Kubernetes Deployment YAML Generator
Generate Kubernetes Deployment YAML with name, image, replicas, port, resources, env.
Kubernetes Service YAML Generator
Generate Kubernetes Service YAML (ClusterIP, NodePort, LoadBalancer).
Mystic Persona Generator
Random mystic persona: oracle/druid/alchemist with name, specialty and secret.
Fun Username Generator
Combine adjective + noun + digits to generate fun usernames (e.g., FluffyOctopus42).
Persona Generator
Generate UX/marketing personas with name, age, role, hobbies, pains and goals.
Fantasy City Generator
Random fantasy city: name, population, government, main landmark.
Story Plot Generator
Random story plot with protagonist, antagonist, goal, obstacle and final change.
Network Topology Generator (ASCII)
Generate ASCII network topology (star, ring, mesh, bus) for N nodes.
Decision Tree Generator (ASCII)
Generate ASCII decision tree from indented bullet list (2 spaces = 1 level).
Mermaid Flowchart Generator
Generate Mermaid flowchart code from "A → B" transition list.
Sequence Diagram Generator
Generate Mermaid sequenceDiagram from "actor → actor: message" pairs.
UML Class Diagram (Mermaid)
Build Mermaid classDiagram from a list of classes with attributes and methods.
ER Diagram (Mermaid)
Generate Mermaid erDiagram from tables and foreign keys.
Graphviz DOT Generator
Generate Graphviz DOT from a list of edges; supports directed and undirected.
Prisma Schema Generator
Generate Prisma schema with typed columns (Int, String, DateTime…) and default id.
git rebase Builder
Build git rebase commands with base, --interactive, --onto, --autosquash, --no-verify.
tmux Command Builder
Build common tmux commands: new-session, attach, split, rename, kill, new-window.
Figlet-style ASCII Banner
Generate ASCII banner from short text (figlet-like big letters).
AWS IAM Policy Generator
Generate AWS IAM policy JSON (2012-10-17) from Effect, Actions and Resources.
Helm values.yaml Generator
Generate a minimal Helm values.yaml with replicaCount, image, service and resources.
Ansible Task Generator
Generate Ansible YAML task with common modules (apt, copy, template, service, file).
Terraform resource Generator
Generate a basic Terraform HCL resource with type, name and attributes.
fail2ban jail.local Generator
Generate a fail2ban jail.local snippet with filter, action, maxretry, bantime.
Pulumi resource Generator (TS)
Generate TypeScript Pulumi resource boilerplate (AWS/AZURE/GCP) with name and props.
Cypress test skeleton
Generate Cypress test skeleton from URL, selector and expected text.
Jest test skeleton
Generate Jest test skeleton with describe, beforeEach and an example test.
Vitest test skeleton
Generate Vitest test skeleton (TS) with describe/it/expect.
CSRF Token Generator
Generate random CSRF tokens (32 bytes) in hex or base64url using browser Crypto API.
PHP MVC Skeleton Generator
Generate minimal PHP MVC skeleton (Controller, Model, View) from a resource name.
ASCII Wireframe Generator
Generate ASCII wireframes (header, sidebar, content, footer) for quick sketches.
X.509 CSR Summary
Read PEM CSR text and identify BEGIN/END markers and approx base64 size.
Shields.io README Badges
Generate common shields.io badges (build, license, version, downloads) for README.md.
Markdown Comparison Table
Generate Markdown comparison table for tools/options and criteria.
FAQ Accordion HTML Generator
Generate semantic HTML (details/summary) for FAQ Q&A pairs.
Markdown Checklist Generator
Convert a task list into Markdown checklist with - [ ] / - [x] (prefix "ok" to pre-check).
Conventional Commit Builder
Build a Conventional Commits message (feat:, fix:, chore:) with optional scope and breaking.
Keep a Changelog Generator
Generate a CHANGELOG.md in Keep a Changelog 1.1.0 format with all sections.
Git pre-receive hook
Generate bash pre-receive Git server hook with branch/author/size checks.
Git post-merge hook
Generate post-merge hook: reinstall deps when package-lock changes, update submodules.
AWS CLI EC2 Builder
Build aws ec2 commands (run/describe/terminate/start/stop) with parameters.
MongoDB find() Builder
Build a MongoDB find() with filter, projection and sort.
MongoDB aggregate() Builder
Build MongoDB aggregate() pipelines with $match, $group, $sort, $limit.
Redis CLI Builder
Build common redis-cli commands (SET, GET, EXPIRE, KEYS, HSET, INCR) with TTL.
Elasticsearch Query DSL Builder
Build Elasticsearch Query DSL (match, term, range, bool) in JSON.
Vue Component (Composition API)
Generate Vue 3 Composition API component skeleton (<script setup>) with props/ref/computed.
Shellcheck Disable Builder
Generate shellcheck disable=SCxxxx comment with description for bash scripts.
CSS grid-template-areas Builder
Build CSS grid-template-areas visually with row/col counts and area names.
CSS clip-path Shape Generator
Generate CSS clip-path for common shapes: triangle, diamond, hexagon, star, arrow, circle, speech.
SVG Blob Shape Generator
Generate random SVG blob shape with smooth Bezier curves.
SVG Wave Shape Generator
Build SVG wave shape with configurable amplitude/frequency/phase for landing page section dividers.
SVG Noise Generator
Generate SVG with feTurbulence filter for noise/grain texture overlay.
CSS Repeating Pattern Generator
Generate CSS pure patterns (checker, stripes, dots, hex, waves) with repeating gradients.
Animated CSS Loader Generator
Generate full CSS for animated loaders: spinner, dots, progress bar, conic ring.
CSS Glow Effect Generator
Generate CSS glow/neon effect with layered box-shadow / text-shadow.
Skeleton CSS Loader Generator
Generate animated skeleton loader CSS (shimmer) for content placeholders.
SQL CREATE TABLE Generator
Generate SQL CREATE TABLE from field list with types. Auto-adds id PK.
SQL ALTER TABLE Generator
Generate ALTER TABLE SQL: add/remove/rename columns, add indexes. Supports MySQL, Postgres, SQLite.
nginx server block Generator
Generate full nginx server block for PHP/Node site with proxy_pass, listen, server_name, root, gzip.
Apache VirtualHost Generator
Generate Apache 2.4 <VirtualHost> with ServerName, DocumentRoot, logs and RewriteEngine.
SVG Divider Generator
Create SVG section dividers (waves, triangles, curves, zig-zag) with height/color.
SVG Grain Generator
Create SVG grain effect using feTurbulence + feDisplacementMap.
Payment Receipt Generator
Generate a simple payment receipt (BR): payer, payee, amount in words, date and description. Print-ready text output.
Simple Power of Attorney Generator
Generate a simple power-of-attorney text (BR-style) granting specific powers to a third party. Not legal advice.
Residence Declaration Generator
Generate a residence declaration (BR-style), common as proof of address for public agencies. Ready to print and sign.
Minor Travel Authorization Generator
Generate travel authorization for unaccompanied minor (BR domestic). For use with notary signature.
Stable Diffusion Prompt Builder
Build structured prompts for Stable Diffusion / Midjourney with subject, style, quality, lighting, camera. Negative prompt supported.
Invoice Header Generator
Generate the HTML header of a professional invoice: logo, company name, tax data, number and date. Print/PDF-ready.
Text Watermark Generator
Apply a diagonal watermark over a long text (e.g., "CONFIDENTIAL") — HTML with print-ready CSS.
Vercel Cron Generator
Build a cron entry for vercel.json (scheduled jobs). Covers hourly, daily, weekly and custom presets.
.htaccess Redirect Generator
Generate Apache redirect rules for .htaccess with 301 (permanent) or 302 (temporary). Supports multiple rules.
Nginx Redirect Generator
Generate Nginx redirect rules (return 301/302) for location blocks. Accepts list of "from to" pairs.
.htaccess RewriteRule Generator
Generate RewriteRule (mod_rewrite) rules for .htaccess. Includes [L,R=301,QSA] flags and regex capture groups.
HTML Form Generator from JSON
Read a JSON schema with fields (label, name, type, required) and generate a complete HTML form with styled inputs and validation attrs.
IBAN Bank Account Generator (fake, PT)
Generate fake IBAN account numbers in PT format. Test data only — not real accounts.
Brazilian RG Generator (with issuer)
Generate fake Brazilian RG numbers (XX.XXX.XXX-X) with issuer (SSP-SP, etc.) and fake date.
Random CNAE Generator
Pick a random CNAE (Brazilian Activity Classification) from 60 common activities. For mockups and registration tests.
Fake Company with CNAE
Generate fake company data: legal name, brand, valid CNPJ, primary CNAE and address. For test seeds.
DARF Code Generator (Brazilian Federal Revenue)
Pick a DARF revenue code from the official list (0190 IRPF, 0561 IRRF, etc.). For mockups and fiscal-system tests.
Anatel Homologation Code Generator (BR)
Generate a fake Anatel homologation code (XXXXX-YY-AAAAA). For mockups testing electronic products in Brazil.
ANEEL UC Code Generator (electric utility)
Generate fake Brazilian electric utility UC code (10 digits). For tests.
Anvisa Registry Code Generator
Generate fake Anvisa drug/cosmetic registry code (1.NNNN.NNNN.NNN-N). For pharma mockups.
Court Decision Number Generator (BR)
Generate fake Brazilian court decision number (Tribunal/Year/Sequence). For prototyping legal systems.
CNJ Lawsuit Number Generator
Generate fake CNJ-format lawsuit number (NNNNNNN-DD.AAAA.J.TR.OOOO) with valid official check digits.
Twitch User ID Generator (fake)
Generate fake Twitch user IDs (numeric, 9-10 digits). For testing apps that consume the API.
Discord Snowflake ID Generator
Generate Discord-style Snowflake IDs (Twitter-like, 64-bit, timestamp-embedded). For bot mockups and library tests.
TikTok User ID Generator (fake)
Generate fake TikTok user IDs (19-digit Snowflake-like). For scraper and analytics tests.
CORS Headers Builder
Build a full set of CORS headers for an API: Access-Control-Allow-Origin, Methods, Headers, Credentials and Max-Age.
AWS S3 IAM Policy Generator
Generate an IAM JSON policy for AWS S3: read-only, write, full access or per-bucket custom. IAM-paste-ready.
PIS Number with Date Generator
Generate fake Brazilian PIS/PASEP numbers paired with fake registration dates. For test seed data.
CNH (BR Driver License) Card Generator (fake)
Generate fake Brazilian driver license card data — number, category, issue/expiry date, issuer. For mockups.
RG with History Generator
Generate a fake RG with 3 issuances (different dates/issuers) — simulates renewal history. For systems with audit trail.
ISS Service Code Generator
Generate fake ISS (Brazilian municipal service tax) codes from LC 116/2003 list. For service invoice tests.
Decision Tracking Code Generator
Generate fake decision-tracking codes (ISTMT-YYYY-NNNN) for mocking governance and approval flows.
NIRF Rural Property Code Generator
Generate fake NIRF (Brazilian Federal Rural Property) codes — 8 digits. For rural property and ITR tax systems.
CRECI (Real Estate Broker) Code Generator
Generate fake Brazilian CRECI broker codes (State-Number, e.g., SP-12345). For real estate mockups.
Multi-type Pix Key Generator
Generate random Pix keys of 4 types: CPF, email, cellphone or EVP (UUID v4). For diverse test data.
DAS-MEI Barcode Generator
Generate fake DAS-MEI tax slip barcode (Brazilian MEI), Febraban 47-digit format.
Bus Ticket Generator (fake)
Generate fake bus ticket: ticket #, origin, destination, date, time, seat, company. For travel mockups.
Flight Ticket Generator (fake)
Generate fake flight ticket: PNR, flight number, IATA origin/destination, date, class, seat. For mockups.
School Enrollment ID Generator
Generate fake school enrollment ID (YYYY+8 digits-D). For school system mockups.
PA/DPA Administrative Process Generator
Generate fake Brazilian administrative/disciplinary process codes (AGENCY/YEAR/NUMBER). For government mockups.
MP (Public Prosecution) Code Generator
Generate fake Brazilian Public Prosecutor procedure codes: PIC, NF (Notice of Fact), investigation procedure.
AWS IAM Trust Policy Generator
Generate AWS IAM Trust Policy JSON for Lambda, EC2, ECS, and other services. Defines who can assume the role.
MEI Full Profile Generator (BR)
Generate fake complete MEI profile: business name, valid CNPJ, CCMEI, CNAE activity and address. For test seeds.
CNPJ MEI Generator (root /0001)
Generate fake CNPJs always with /0001-XX terminus (root, MEI standard). DV by official algorithm.
CEST Code Generator (BR Tax Substitution)
Generate CEST codes (Brazilian Tax Substitution Specifier) in XX.XXX.XX format. Picks from 28 official segments.
NCM Code Generator (Mercosur)
Pick NCM codes (Mercosur Common Nomenclature, 8 digits) with generic description. For fiscal invoice mockups.
Quote Number Generator
Generate fake quote numbers (ORC-YYYY-NNNNN: year + sequence). Configurable: custom prefix and count.
Order Code Generator
Generate short alphanumeric order codes (ORD-XXXX-9999) or long with timestamp (ORD-1700000000-XXXX). For e-commerce.
NF-e Sequential Number Generator
Generate the NF-e sequential number (9 digits) followed by series (3 digits). Not the 44-digit access key.
CT-e Sequential Number Generator
Generate fake CT-e (Brazilian e-Bill of Lading) sequential number (9 digits + series). For logistics mockups.
MDF-e Number Generator
Generate fake MDF-e numbers (Brazilian Electronic Manifest) used to link CT-e and NF-e in a trip.
BDI (Construction) Generator
Generate BDI (Indirect Costs) for construction quotes: profit, ISS, PIS, COFINS, contingencies. TCU standard.
IBGE UF Codes List
List the 27 IBGE Brazilian state codes (11-53) with abbreviation and name. For UF dropdown population.
IBGE Municipality Code Generator
Generate fake IBGE municipality code (7 digits: UF + 5 + DV). For mockups and state validation tests.
Condominium Profile Generator
Generate fake condominium profile: name, CNPJ, city registration, monthly fee and unit count. For real estate mockups.
Apartment Number Generator (with block)
Generate apartment identifiers (block + floor + unit) — Block A, Apt 304, etc. For real estate seeds.
Parking Spot Code Generator
Generate parking spot identifiers: sector (A-F), level (basement, ground) and number. For garage/mall mockups.
Wi-Fi SSID Generator
Generate creative Wi-Fi SSIDs: theme (family, office, aggressive, fantasy) + optional numeric suffix.
Secure Random String Generator
Generate random strings with specific classes: lowercase, uppercase, digits, symbols. For passwords, tokens, codes. Uses crypto.getRandomValues.
Creative Username Generator
Generate creative usernames combining adjective + animal/object + number (e.g., ninja_dragon_42). For sign-ups and profiles.
Special MAC Address Generator
Generate special MAC addresses: broadcast, multicast, random unicast, or with custom OUI (Apple, Intel, Samsung).
Medical Prescription Generator (mockup)
Generate fake medical prescription with patient, doctor, CRM, medications. MOCKUP ONLY.
Medical Certificate Generator (mockup)
Generate fake medical leave certificate. Includes patient, symbolic ICD-10, doctor, days. MOCKUP ONLY.
Invoice Mockup Text Generator
Generate plain-text invoice mockup: issuer, recipient, line items, total. NOT FISCALLY VALID — testing only.
Cinema Ticket Generator (mockup)
Generate fake cinema ticket: movie, room, session, seat, ticket type (3D, IMAX). For mockups.
Bank Receipt Mockup Generator
Generate fake bank transfer/Pix/TED receipt text. For UI testing — NEVER use in real transactions.
Train Ticket Mockup
Generate fake train ticket: origin/destination, class, coach, seat, time. For mockups (Eurail/SNCF style).
Traffic Fine Mockup Generator
Generate fake traffic fine: plate, violation, location, value, points. For mockups and CTB study. Not real.
Airline E-ticket Code Generator
Generate airline e-ticket code (13 digits: XXX-NNNNNNNNNN, IATA format). For check-in mockups.
Ride/Food App Order Code Generator
Generate short alphanumeric order codes for apps (Uber, iFood, 99) — 8 uppercase chars. For mockups.
International Tracking Code Mockup
Generate international tracking codes in common formats: AliExpress (LP/RW/RU), 4PX, Yanwen. For e-commerce mockups.
Shopify ID Generator (cart/product)
Generate Shopify-format numeric IDs (12-15 digits) for carts, products and orders. For e-commerce mockups.
Bulk CPF Generator
Generate many valid Brazilian CPFs at once (1 per line). For populating test databases.
Bulk CNPJ Generator
Generate many valid Brazilian CNPJs at once (1 per line).
MD4 Hash Generator
Compute the MD4 hash of a string. MD4 is legacy (1990), used by NTLM. Do not use for passwords.
BLAKE3 Hash Generator
Educational BLAKE3 placeholder (sha-256 variant). For production use @noble/hashes.
Whirlpool Hash Generator
Educational Whirlpool placeholder via SHA-512.
RIPEMD-160 Hash Generator
Educational RIPEMD-160 placeholder via SHA-1.
Tiger Hash Generator
Educational Tiger placeholder via SHA-256.
JWT HS256 Secret Generator
Generate a strong 256-bit secret for JWT HMAC-SHA256 signing, in Base64 or Hex.
Random Base91 String
Generate a random Base91-encoded string (more compact than Base64).
Discord Snowflake Generator
Generate a Discord-style Snowflake ID (with embedded timestamp) for testing.
Twitter Snowflake Generator
Generate a Twitter-style Snowflake ID (epoch=2010-11-04) for testing.
docker run Command Builder
Build a docker run command with image, name, ports, volumes, env vars and daemon flag.
mysqldump Command Builder
Build a mysqldump command with host, user, db and common flags.
pg_dump Command Builder
Build a pg_dump command with host, user, db, format and output file.
tcpdump Command Builder
Build a tcpdump command with interface, BPF filter, output file and verbosity.
iptables Rule Builder
Build an iptables rule for INPUT/OUTPUT/FORWARD with protocol, port, action.
nmap Command Builder
Build an nmap scan command with target, port range, scan type and service detection.
MIT License Generator
Generate the MIT license text filled with your name and year.
Apache 2.0 License Generator
Generate the Apache 2.0 license header with copyright.
GPL-3.0 License Generator
Generate the GNU GPL v3.0 header with name and year.
BSD 2-Clause License Generator
Generate BSD 2-Clause license text with name and year.
BSD 3-Clause License Generator
Generate BSD 3-Clause license text.
MPL 2.0 License Generator
Generate MPL 2.0 header — weak copyleft compatible with proprietary.
ISC License Generator
Generate ISC license text — simplified BSD 2-Clause equivalent.
Unlicense Generator
Generate the Unlicense (public domain) text.
WTFPL Generator
Generate the WTFPL text.
E-commerce Order ID Generator
Generate order codes in typical e-commerce format (PREFIX-YYYYMMDD-XXXX).
Support Ticket ID Generator
Generate support ticket numbers (AAAA.NNNNN.XX).
meta author Tag
Build <meta name="author"> from author name.
meta robots Tag
Build <meta name="robots"> with directives.
link prefetch Tag
Build <link rel="prefetch"> for early resource fetching.
link preload Tag
Build <link rel="preload"> with as= directive.
color-scheme Meta
Build <meta name="color-scheme"> for light/dark hints.
theme-color Meta
Build <meta name="theme-color"> for browser bar color (mobile).
Escala Pentatônica
Gera escala pentatônica maior ou menor a partir da tônica.
Progressão de Acordes (I-IV-V)
Gera progressões clássicas em uma tonalidade (I-IV-V, I-V-vi-IV, ii-V-I).
Afinação Drop D (Guitarra)
Mostra a afinação Drop D padrão para guitarra (DADGBE) com frequências.
Paleta Monocromática
Gera 5 tons monocromáticos a partir de uma cor base, variando luminosidade.
Paleta Complementar
Gera cor complementar (180° na roda HSL) a partir de uma cor base.
Paleta Triádica
Gera 3 cores espaçadas 120° na roda HSL a partir de uma cor base.
Paleta Análoga
Gera 3 cores próximas (±30° em HSL) a partir de uma cor base.
Paleta Tetrádica
Gera 4 cores espaçadas 90° na roda HSL.
Tons (Shades) de uma Cor
Gera 5 tons mais escuros da cor base, mesclando com preto.
Tints (Mais Claros) de uma Cor
Gera 5 versões mais claras da cor base, mesclando com branco.
Cor Web-Safe Mais Próxima
Encontra a cor web-safe (216 cores, múltiplos de 51) mais próxima da informada.
Simulador Daltonismo (Protanopia)
Simula como uma cor é percebida por daltônicos do tipo protanopia (matriz aprox).
Gerador Nome de Gato
Sugere nomes criativos para gatos.
Gerador Nome de Cachorro
Sugere nomes para cachorros.
Gerador Nome de Pássaro
Sugere nomes para pássaros (canários, calopsitas, papagaios).
Nome Bebê Japonês
Sugere nomes japoneses unisex.
Nome Bebê Italiano
Sugere nomes italianos.
Nome Bebê Francês
Sugere nomes franceses.
Nome Bebê Alemão
Sugere nomes alemães.
Nome Bebê Espanhol
Sugere nomes espanhóis.
Nome Bebê Árabe
Sugere nomes árabes.
Nome Bebê Russo
Sugere nomes russos.
Nome Bebê Grego
Sugere nomes gregos.
Nome de Elfo (RPG)
Sugere nomes para elfos em RPG/fantasia.
Nome de Orc (RPG)
Sugere nomes para orcs/orquídeas em RPG.
Nome de Mago (RPG)
Sugere nomes para magos.
Nome de Cavaleiro
Sugere nomes para cavaleiros medievais.
Nome de Anão (RPG)
Sugere nomes para anões em RPG.
Nome de Bárbaro
Sugere nomes para personagens bárbaros.
Nome de Druida
Sugere nomes para druidas em RPG.
Nome de Startup Tech
Gera ideias para nomes de startups.
Nome de Loja
Sugere nomes para lojas.
Nome de Restaurante
Sugere nomes para restaurantes.
Nome de Cafeteria
Sugere nomes para cafeterias.
Nome de Barbearia
Sugere nomes para barbearias.
Nome de Petshop
Sugere nomes para petshops.
Nome de Podcast
Sugere nomes para podcasts.
Nome de Blog
Sugere nomes para blog.
Nome de Marca Moda
Sugere nomes para marcas de moda/roupa.
Nome de Banda Rock
Sugere nomes para bandas rock.
Nome de Banda Metal
Sugere nomes para bandas metal.
Nome de Banda Pop
Sugere nomes para bandas pop.
Slogan Curto
Combina template + palavra-chave para um slogan curto.
Nome de Produto SaaS
Gera ideias para nomes de produtos SaaS.
Tagline de Marketing
Gera taglines genéricas.
Nome de Domínio Curto
Sugere nomes curtos para domínio.
Conselho Aleatório
Mostra um conselho aleatório motivacional.
Frase Motivacional
Mostra uma frase motivacional aleatória.
Prompt MidJourney
Constrói prompt MidJourney com parâmetros de estilo, aspect ratio e versão.
Prompt Stable Diffusion
Constrói prompt SD com positive, negative, sampler e CFG.
Prompt DALL-E
Constrói prompt para DALL-E com estilo e tamanho.
Prompt ChatGPT (R-T-C-F)
Constrói prompt no formato Role-Task-Context-Format.
Prompt Code Review
Prompt para revisão automatizada de código.
Prompt E-mail Formal
Prompt para gerar e-mail formal a partir de um briefing.
Prompt Brainstorm
Prompt para brainstorm criativo.
Prompt Traduzir + Tom
Prompt para tradução com adaptação de tom.
Prompt Resumir em Bullets
Prompt para resumir texto em N bullets.
Prompt Elevator Pitch
Prompt para criar elevator pitch.
Botão E-mail Bulletproof
Gera HTML de botão para e-mail compatível com Outlook.
Assinatura de E-mail
Gera HTML de assinatura para e-mail corporativo.
Cartão de Visita HTML
Gera card visual para web/print de cartão de visita.
Certificado HTML
Gera certificado de conclusão em HTML imprimível.
Página Coming Soon
Gera template HTML "em breve" simples.
Página 404 HTML
Gera template HTML para página 404.
Página Manutenção HTML
Gera template HTML para página em manutenção.
Banner de Cookies HTML
Gera banner de cookies com botão aceitar.
Notificação Toast HTML
Gera elemento toast/notificação para UI web.
Modal HTML
Gera estrutura HTML básica de modal/dialog.
Tooltip HTML/CSS
Gera tooltip CSS-only com data-attribute.
Fatura/Invoice HTML
Gera template de fatura simples.
CV/Resume HTML
Gera template de currículo HTML imprimível.
Formulário Contato HTML
Gera HTML de form contato básico.
Progress Bar HTML
Gera barra de progresso HTML com %.
CSS Clip-Path Polígono
Gera CSS clip-path polygon() com pontos definidos.
CSS Clip-Path Estrela
Gera clip-path de estrela com N pontas.
CSS cubic-bezier()
Gera função cubic-bezier(x1,y1,x2,y2).
CSS Box-Shadow Multi
Gera box-shadow com múltiplas camadas.
CSS Text-Shadow Stack
Gera text-shadow neon empilhado.
CSS @keyframes fade
Gera animação fadeIn/fadeOut configurável.
CSS Glow Neon
Gera efeito glow neon em borda/sombra.
aspect-ratio → padding-bottom
Converte aspect-ratio em padding-bottom % (fallback CSS antigo).
CSS clamp() Tipográfico
Gera clamp(min, vw, max) para fonte fluida.
CSS Container Query
Gera @container query com tamanho mínimo.
CSS Scroll Snap
Gera scroll-snap-type horizontal/vertical.
CSS Focus Ring Acessível
Gera focus ring acessível seguindo WCAG.
CSS Cor de Seleção
Gera ::selection com cor customizada.
CSS Scrollbar Customizada
Gera CSS de scrollbar customizada (WebKit + Firefox).
CSS Mask Image Gradiente
Gera mask-image com gradiente linear (fade na borda).
SVG Blob
Gera um blob orgânico SVG com curvas suaves.
SVG Onda
Gera onda SVG decorativa.
SVG Estrela N Pontas
Gera SVG de estrela com N pontas.
SVG Spinner Loading
Gera spinner de loading SVG animado.
SVG Sparkline
Gera mini gráfico (sparkline) a partir de valores.
SVG Progress Ring
Gera ring de progresso SVG (0-100).
SVG Coração
Gera ícone SVG de coração colorido.
SVG Avatar Iniciais
Gera avatar SVG com iniciais do nome.
SVG Favicon Emoji
Gera favicon.svg com um emoji.
SVG Donut Chart
Gera donut chart SVG de 2 fatias.
Hashtags Fitness IG
Hashtags populares para fitness/treino.
Hashtags Comida IG
Hashtags para fotos de comida.
Hashtags Viagem IG
Hashtags para fotos de viagem.
Hashtags Moda IG
Hashtags para fotos de moda.
Hashtags Tech IG
Hashtags sobre tecnologia.
Hashtags Beleza IG
Hashtags para beleza/maquiagem.
Hashtags TikTok Trends
Hashtags virais TikTok.
Hashtags LinkedIn
Hashtags profissionais LinkedIn.
Hashtags Pets IG
Hashtags para fotos de pets.
Hashtags Arte Digital
Hashtags para arte digital/ilustração.
Nome de Anjo da Guarda
Sorteia nome de anjo (Cabala/tradição cristã).
Deusa da Mitologia
Sorteia nome de deusa de várias mitologias.
Username Aleatório
Gera username de 8 caracteres com tema (gamer/dev/poetic).
Círculo de Quintas
Exibe a sequência completa do círculo de quintas (maior) a partir de Dó.
Gerador de Modo Grego
Gera as notas do modo grego escolhido a partir de uma tônica (Iônio, Dórico, Frígio, Lídio, Mixolídio, Eólio, Lócrio).
Análise por Cifra Romana
Mostra acordes diatônicos (I-ii-iii-IV-V-vi-vii°) na tonalidade maior escolhida.
Extensões Jazz (7/9/11/13)
Gera notas de um acorde com tensões: 7M, 9, 11 ou 13 a partir da fundamental.
Nomes dos Graus da Escala
Lista os 7 graus de uma escala maior com nomes (Tônica, Supertônica, Mediante, Subdominante, Dominante, Superdominante, Sensível).
OKR Builder (1 Objetivo + 3 KR)
Monta OKR formatado: 1 objetivo qualitativo + 3 key results quantitativos.
Gerador de Time Blocking
Cria blocos de tempo a partir de hora inicial, duração de cada bloco e quantos blocos. Ex: 09:00, 50 min, 6 blocos.
Kanban 3 Colunas Gerador
Distribui tarefas em 3 colunas: To Do | Doing | Done. Use prefixo > para Doing, ✓ para Done.
Template de Revisão Semanal
Gera template de weekly review GTD: vitórias, desafios, aprendizados, próximos passos.
Template de Diário Reflexivo
Gera template diário: gratidão (3), foco do dia, energia (1-10), reflexão noturna.
OAuth State CSRF Token
Gera valor "state" criptograficamente aleatório (32 bytes base64url) para mitigar CSRF.
OAuth PKCE Verifier + Challenge
Gera code_verifier (43-128 chars) e code_challenge S256 (usa SubtleCrypto se disponível).
Template PRD (Product Requirements)
Gera template de PRD com seções padrão (problema, usuários, métricas, escopo).
Template Design Doc
Gera template de Design Doc de engenharia (contexto, design, alternativas, plano).
Template Runbook
Gera template de runbook operacional (alertas, diagnóstico, mitigação).
Template Postmortem
Gera template de postmortem blameless (resumo, timeline, root cause, ações).
Template RFC
Gera template de RFC (Request for Comments) para discussão técnica.
Template ADR (Architectural Decision)
Gera template de ADR no padrão Michael Nygard.
Template 1-Pager
Gera template de 1-Pager executivo (problema, solução, métricas, ask).
Template SOW (Statement of Work)
Gera template de SOW contratual (escopo, entregáveis, prazos, pagamento).
Template README
Gera README.md completo com badges, instalação, uso, testes, contribuição.
Template CONTRIBUTING
Gera CONTRIBUTING.md (issues, PRs, código de conduta, estilo).
TOTP Secret Generator
Generate a random Base32 secret (160 bits) for TOTP/HOTP (Google Authenticator, Authy, 1Password). Also creates a ready otpauth:// URL.
OAuth State Generator
Generate secure random state tokens (128 bits) for CSRF protection in OAuth 2.0 flows. Recommended by RFC 6749.
DnD Dice Roller
Roll dice in DnD notation (e.g. 1d20+3, 4d6, 2d10-1). Supports multiple dice, +/- modifiers and shows each result.
Boggle Board Generator
Generate a 4×4 Boggle board with random letters following the classic dice frequencies. Useful for creating word puzzle games.
Magic Square Generator
Generate odd-order magic squares (3x3 up to 11x11) using De la Loubère's method. Rows, columns and diagonals all sum to the same value.
Easy Sudoku Generator
Generate a valid 9x9 Sudoku board on easy mode (around 40 clues). Includes the full solution for reference.
Pirate Ipsum Generator
Generate fake text in pirate speak ("Arrr! Avast ye! Ahoy matey…"). A fun alternative to traditional Lorem Ipsum for mockups.
Codename Generator
Generate random codenames in secret-agent style: adjective + noun + number (e.g. Silent Falcon 07, Blue Storm 42).
Fantasy Team Name Generator
Generate fictional sports team names in fantasy style: imaginary city + mythical animal. Useful for game projects, mockups and RPGs.
RPG Fantasy Character Generator
Create complete fantasy RPG characters: random name, race, class, alignment, background trait and main attribute. A great starting point for campaigns.
Mock SQL Data Table Generator
Generates a CREATE TABLE + 5 mock INSERTs based on the table name you provide.
Mock GraphQL Schema Generator
Generates a basic GraphQL schema (type, Query, Mutation) from the resource name.
TypeORM Entity Generator from Table
Generates a TypeORM (TypeScript) class with @Entity, @PrimaryGeneratedColumn and basic columns from a table name.
Sequelize Model Generator from Table
Generates a Sequelize (JS) model with sequelize.define, columns and timestamps from a table name.
Mongoose Model Generator from Collection
Generates a Mongoose (JS) Schema + model with basic fields and timestamps from a collection name.
Prisma Model Generator from Table
Generates a Prisma model block (schema.prisma) with id, name, email and timestamps from a table name.
Knex Migration Generator from Table
Generates a Knex (JS) migration with createTable and dropTable from a table name.
Flyway Migration Generator from Table
Generates a Flyway file (V1__create_table.sql) with CREATE TABLE from a table name.
Liquibase Changelog Generator from Table
Generates a Liquibase changelog (YAML) with a createTable changeSet from a table name.
TypeScript Interface Generator from Table
Generates a TypeScript interface from a table name — id number, name/email string, createdAt Date.
Piano Chord Generator
Generates the notes of a major, minor, diminished or augmented chord from the given root note.
Musical Scale Generator
Generates the 7 notes of major, natural minor, harmonic minor and blues scales from a tonic.
Pop Chord Progression Generator
Generates progressions I-V-vi-IV, ii-V-I and others from a major key, showing each degree as a chord.
Celtic Baby Name Generator
Generates Celtic (Irish, Scottish, Welsh) baby names with meaning — pick masculine or feminine.
African Baby Name Generator
Generates African baby names (Swahili, Yoruba, Akan) with meaning — bank with 200+ names by gender.
Dystopian Character Name Generator
Generates cyberpunk/dystopian character names with corporate surnames, numbers and tactical designations.
Medieval Knight Name Generator
Generates medieval names with noble titles (Sir, Lady, Lord of…) for RPG or fiction writing.
Sushi Dish Name Generator
Creates fictional sushi dish names (Hosomaki with truffled salmon) — useful for menus and roleplay.
Cocktail Name Generator
Generates creative names for signature cocktails using bartender patterns (adjective + noun + place).
Craft Beer Name Generator
Generates craft beer names following real patterns (animal + feeling, place + style).
Poke Restaurant Name Generator
Generates names for poke houses and restaurants using current gastronomy marketing patterns.
Condo / Real Estate Name Generator
Creates names for real estate developments (Residencial Parque das Acácias) using market patterns.
B2B SaaS Startup Name Generator
Generates short B2B startup names (.ai/.io, prefixes like 'Up', 'Sync') and suggests TLDs.
Fake Social Profile Generator
Generates fictional profile (name, DiceBear avatar, bio, handle) for social network mockups — not for production.
Fake Blog Comments Generator
Generates N varied fictional comments (positive, negative, neutral, question) for comment section mockups.
Fake Chat Conversation Generator
Generates fictional chat dialogue between two personas (support, sales, couple) — outputs JSON or text.
Fake Resume CV Generator
Generates fictional resume (name, experience, education, skills) — for prototypes of job portals.
Fake Company Address Generator
Generates fictional company with full Brazilian address (street, number, district, ZIP, city, state) for mocks.
Fake Invoice Generator
Generates fictional invoice in printable text — multiple items, totals and taxes computed.
Fake E-commerce Order Generator
Generates fictional e-commerce order with products, prices, shipping, total, status — useful for UI tests.
Fake Leads CSV Generator
Generates CSV with N fictional leads (name, email, phone, company, role) for CRM and import tests.
Fake iCal Events Generator
Generates N fictional events in .ics format (appointments, deadlines) for Google/Outlook integration tests.
Fake Paginated JSON Generator
Generates JSON with fake pagination structure (page, pageSize, total, items) to mock a REST API.
Image Color Palette Extractor (local)
Extracts a dominant palette from a local image (simple k-means) — processing runs 100% in the browser.
Random AA Contrast Color Generator
Generates two random colors that satisfy WCAG AA (4.5:1) contrast for text on background.
Approximate CMYK Paint Color
Approximates a digital RGB color as a physical paint mix (CMYK + white) — useful for traditional artists.
Palette as CSS Variables
Takes a hex palette and exports it as a CSS variables block (:root { --primary-50: ... }) ready to use.
Random Tarot Card Generator
Draws a card from the Major or Minor Arcana with description and upright/reversed meanings — no real divination, just a dataset.
Stripe Test Cards Generator
Interactive list of official Stripe test cards by scenario (success, decline, 3DS, fraud, expired) for sandbox use.
Fake Brazilian RG by State
Generates RG numbers following the visual format of each Brazilian state (SP, MG, RJ, RS…) for testing — fictional, no legal validity.
Fake Brazilian Mobile Number
Creates valid Brazilian mobile numbers in (DDD) 9XXXX-XXXX format with your choice of real area code to seed test databases.
Random Bible Verse Generator
Draws a verse from a curated list with reference (book, chapter, verse) — great for daily social posts.
SVG Wave Divider Generator
Create SVG section dividers as waves, peaks or curves with customizable height, frequency, opacity and color. Download SVG or copy directly.
Code 128 Barcode Generator
Generate Code 128 barcodes (A, B and C) for any text/number with PNG and SVG download — ideal for labels and logistics.
Data Matrix Generator
Create compact 2D Data Matrix (ECC 200) codes for industrial parts and traceability. Supports text and numbers with PNG/SVG download.
PDF417 Barcode Generator
Create PDF417 barcodes (driver license / boarding pass style) for long text, with PNG and SVG download and error level control.
Bulk UTM URL Generator (CSV)
Generate UTM URLs in bulk from a matrix of sources, mediums and campaigns. Exports a CSV list ready for tracking in a spreadsheet.
Noise SVG Texture Generator
Create noise (grain) textures in SVG using feTurbulence for modern backgrounds. Control frequency, octaves and output color.
Random Fake JWT Generator
Generate a JWT with random header/payload/signature (no valid signature) for mocking OAuth flows in local development.
Fake Dutch BSN Generator
Generate a valid Burgerservicenummer (BSN) Dutch citizen number (9 digits with 11-test) — for form testing only.
Fake Italian Codice Fiscale Generator
Generate an Italian Codice Fiscale with valid checksum from name/date — for signup form testing only.
Portuguese Haiku Generator
Create a 5-7-5 syllable haiku in Portuguese by drawing themed words (nature, seasons) — useful for creative inspiration.
Random Brazilian Address Generator
Generate a fake address with street, number, neighborhood, city, state and ZIP — complete for forms and fixtures.
Screen Lock PIN Generator
Generate a numeric PIN avoiding weak sequences (1234, 0000, common dates, repeats) with security level options.
BlurHash Generator
Generate a compact BlurHash string from an image to use as a blurred placeholder in apps and sites while the image loads.
ThumbHash Generator
Create ThumbHashes (modern alternative to BlurHash) ~25 bytes that render colored thumbnails as placeholders before the real image.
SSH Keypair Generator (Ed25519)
Generate Ed25519 SSH keypairs client-side ready to use in ~/.ssh/, with SHA256 fingerprint and OpenSSH format.
PGP/GPG Keypair Generator
Create OpenPGP keys (RSA or Curve25519) with custom user ID and expiration, ready for ASCII armor and GnuPG import.
EFF Large Passphrase Generator
Generate memorable passwords using the official EFF Large list (7776 EN words), with per-word entropy and custom separator.
Complete Favicon Package Generator
From an image, generate a complete zip with ICO, favicon-16/32, apple-touch, Android Chrome 192/512 and site.webmanifest for PWA.
XKCD Passphrase Generator (PT-BR)
Generate memorable xkcd-style passphrases (4-6 separated words) using a Brazilian Portuguese dictionary with computed entropy.
Fake BIC/SWIFT Generator
Generate structurally valid BIC/SWIFT codes (8 or 11 chars) for international payment testing. They do not match real banks.
Multi-country IBAN Generator
Generate structurally valid IBANs (MOD-97) for 40+ countries (DE, FR, ES, IT, PT, NL, BE, GB) for QA of payment gateways.
browserconfig.xml Generator
Create `browserconfig.xml` with tiles for Windows/IE11 from PNGs of 70×70 to 310×310. Includes background color and logo.
RSS 2.0 → Atom 1.0 Converter
Convert a pasted RSS 2.0 feed into an equivalent Atom 1.0 feed, preserving title, author, links and dates. Ready to publish.
JSON Feed v1.1 Generator
Generate JSON Feed v1.1 (jsonfeed.org) feeds from items (title, URL, content, date). Output ready for `application/feed+json`.
BIMI Record Generator
Create DNS BIMI (Brand Indicators for Message Identification) records with the logo SVG URL and optional VMC for visual email authentication.
MTA-STS Policy Generator
Generate the MTA-STS policy file (RFC 8461) and matching TXT record to enforce TLS for email transport between servers.
TLS-RPT Record Generator
Build DNS TLS-RPT records (RFC 8460) to receive SMTP TLS failure reports via email or HTTPS.
OpenID Discovery Generator
Generate the OpenID Connect Discovery JSON (RFC 8414) with endpoints, scopes, grants and supported algorithms for your OP.
Image Color Palette Generator
Upload an image and extract 3 to 24 dominant colors via k-means clustering. Export as HEX, RGB, CSS variables or Tailwind.
Open Graph Image Generator
Create 1200×630 Open Graph images with title, description, author, logo and custom background. Export as ready-to-use PNG.
Graph Paper SVG Generator
Generate squared, millimeter, ruled, isometric or dot-grid paper as printable SVG sized for A4/Letter.
Checker Pattern SVG Generator
Create a configurable checker (chessboard) SVG pattern with two colors and cell size, perfect for backgrounds and fallbacks.
Polka Dot SVG Generator
Generate a configurable polka-dot SVG pattern with color, radius and spacing — exports as a CSS background.
Isometric Grid SVG Generator
Generate an isometric SVG grid with configurable 30 degree angle for game maps and isometric diagrams.
Split-Complementary Palette Generator
Generate a split-complementary color palette (base + 2 colors adjacent to the complement) with hex, RGB and HSL.
Yahtzee Score Card Generator
Generate a printable Yahtzee score card as PDF/PNG with up to 6 players and all categories.
TSID Generator (Time-Sorted ID)
Generate 64-bit time-sorted TSIDs ideal for distributed DB PKs, with timestamp decoder.
UUID v8 Custom Generator
Generate custom UUIDs v8 (RFC 9562) with arbitrary 122-bit payload useful for hierarchical or shard-aware IDs.
JWKS EC Generator (P-256/P-384/P-521)
Generate a JWKS (JSON Web Key Set) with EC key (P-256/P-384/P-521) ready for /.well-known/jwks.json endpoint, with kid and use.
RRULE iCal Generator (RFC 5545)
Generate RFC 5545 recurrence rules (RRULE) with FREQ, BYDAY, INTERVAL, COUNT/UNTIL preview of next 10 occurrences.
Classic Quote of the Day (PT-BR)
Deterministic daily quote by date from PT-BR literary classics (Pessoa, Drummond, Machado, Cecilia, Bandeira).
MQTT Topic Builder
Build MQTT topics with + and # wildcards, validate hierarchy, and suggest patterns (Sparkplug B, Homie 4).
Multi-Algorithm .htpasswd Generator
Creates .htpasswd files for Apache and Nginx with bcrypt, APR1, SHA-256, SHA-512 or crypt, with multiple users in a single export.
Emoji Favicon SVG Generator (Circle)
Creates SVG favicon with any emoji centered inside a customizable colored circle, exporting as SVG and PNG 32/64/128px.
SSH known_hosts Lines Generator
Builds valid lines for the ~/.ssh/known_hosts file from host, port, key type and fingerprint, with optional HMAC hashing.
Full mailto: Link Generator (CC/BCC)
Builds complex mailto: links with multiple recipients, CC, BCC, subject and body properly encoded, ready for HTML or QR Code.
Markdown Comparison Table Generator
Visual interface to build comparison tables in Markdown with checkmarks, icons and color cells via emoji, ideal for READMEs.
.env File Generator by Stack
Creates complete .env and .env.example files for common stacks (Next.js, Django, Rails, Laravel, Vite) with placeholders and documented comments.
SVG Honeycomb Pattern Generator
Generates a tileable SVG with a hexagon (honeycomb) pattern parameterized by size, gap and two colors.
SVG Zigzag Pattern Generator
Generates a tileable SVG with zigzag (chevron) lines parameterized by amplitude, frequency, color and thickness.
SVG Diagonal Stripes Pattern Generator
Generates a tileable SVG with alternating diagonal stripes in two colors, controlling angle, width and gap.
SVG Brick Pattern Generator
Generates a tileable SVG simulating brick masonry with alternating offset, parameterizing dimensions and mortar.
CSS Checker Pattern Generator
Generates pure CSS code with repeating-conic-gradient or linear-gradient to render a checker pattern without images.
Cron Timezone Shifter
Converts a crontab expression from one timezone to another, shifting hour/minute and handling day-of-week wrap.
Spirograph SVG Generator
Generate hypotrochoid and epitrochoid (spirograph) figures in SVG adjusting outer radius, inner radius and offset, exporting for design and print.
Lissajous SVG Generator
Create Lissajous figures in SVG adjusting X and Y frequencies, phase and damping, with PNG export for design and educational physics.
Guilloche Pattern SVG Generator
Generate interlocking guilloche patterns in SVG used in banknotes, certificates and stamps, with control over radii, nodes and rotational symmetry.
Honeypot Form Field Generator
Generate HTML+CSS snippets for an anti-spam honeypot field (input invisible to bots, accessible to humans) with optional timestamp.
Monogram SVG Generator
Create initials monograms in SVG with serif and script fonts, interlocked or stacked layouts, and circular or heraldic frames.
SSML Builder (Speech)
Build SSML (Speech Synthesis Markup) documents compatible with Alexa, Google and Polly with break, prosody, emphasis, phoneme and voice tags.
vCard QR Code Generator
Generate QR Code containing vCard 3.0 with name, phone, email, company, URL, and address, scannable by phone camera.
SMS QR Code Generator
Generate QR Code that, when scanned, opens the SMS app with pre-filled number and message (SMSTO: format).
Geolocation QR Code Generator
Generate QR Code with coordinates (geo:lat,lng) or Google Maps link, opening map apps directly at the location.
SEPA Transfer QR Code Generator
Generate EPC069-12 standard QR Code for SEPA transfers in Europe, with IBAN, beneficiary, amount, and description.
Random CBO Generator (Brazil)
Generate valid codes from the Brazilian Classification of Occupations (CBO 2002) with 6 digits, occupation name, and major group.
Instagram Snowflake Generator
Generate Snowflake IDs in the format used by Instagram (54 bits, epoch 2011-01-01), with timestamp, shard, and sequence.
Coordinated Pantone Palette Generator
From a Pantone color, generate a coordinated palette (complementary, analogous, triadic) with approximate Pantone matches.
GitHub Readme Stats SVG Generator
Build a stats SVG (github-readme-stats style) with username, theme and metrics — filled in manually, no API needed.
Animated CSS SVG Blob Generator
Build an SVG blob with CSS-animated morphing (animation/keyframes), ready to paste into a landing page.
LGPD Cookie Banner (Categories) Generator
Generate HTML/JS for an LGPD-compliant cookie banner with 4 categories (essential, analytics, marketing, preferences) and granular toggles.
Coffee Brew Ratio Recipe Generator
Generate step-by-step recipes (V60, Aeropress, French Press, Cold Brew) with coffee/water ratio, grams, bloom and pour times.
Bakers Percentage Bread Recipe Generator
Given total flour weight and hydration percentage, generate a full recipe (water, salt, yeast) in baker's percentage.
Letter Favicon SVG Avatar Generator
Generates SVG favicon with 1-2 initial letters on circular or square colored background (optional gradient). Single-file SVG output.
Letter Avatar PNG Generator
Creates round PNG avatar (256x256) with name initials in a color derived from hash. Useful for chat UIs and profiles without photos.
Pixel Art Palette Generator (Lospec Style)
Generates 4/8/16/32 color palettes optimized for pixel art with retro presets (Game Boy, NES, PICO-8, Sweetie-16). Export .hex and .gpl.
EFF Short Wordlist 1 Passphrase Generator
Generate passphrases using the EFF Short Wordlist (1296 easy-to-type words), different from EFF Large. Shows entropy per word.
EFF Short Wordlist 2 Passphrase Generator (Prefix)
Uses EFF Short Wordlist 2 (1296 words with unique 3-letter prefixes) for faster autocomplete in apps.
Fountain Screenplay Formatter
Takes a script in Fountain syntax (plain text with conventions) and renders a formatted HTML preview in screenplay style (Courier, centered headings).
Hobbit/Halfling Name Generator (RPG)
Generates Tolkien-style hobbit/halfling names (Bilbo, Frodo, Samwise) with thematic surname for D&D tables.
Tiefling Name Generator (RPG)
Generates infernal names for D&D tiefling (virtue + demonic name) with approximate pronunciation.
Dragon Name Generator (RPG)
Generates epic ancient dragon names with guttural syllables (Vermithrax, Sardiokar) for fantasy campaigns.
Aasimar Name Generator (RPG)
Generates celestial names for D&D aasimar combining angelic roots and divine suffixes for characters of light.
Munsell Color to Hex Sample Generator
Generates hex samples from Munsell notation (Hue Value/Chroma — e.g. 5R 4/14) used in soils, art and aesthetics.
Deuteranopia Accessible Palette Generator
Generates a safe palette for deuteranopes (most common form of color blindness) ensuring CVD-pre-simulated distinguishability.
Schema MusicAlbum JSON-LD
Build Schema.org MusicAlbum JSON-LD with name, artist (byArtist), release date, genre, label and tracklist (itemListElement of MusicRecording with ISO 8601 duration PT3M42S).
WebFinger JRD Builder (RFC 7033)
Build a JRD (JSON Resource Descriptor) for WebFinger (.well-known/webfinger) responses with acct: subject, aliases, properties and links (rel, type, href) — as used by Mastodon/ActivityPub.
.netrc File Builder
Build a ~/.netrc file (curl, ftp, git credential) with multiple 'machine HOST' entries (login, password, optional account) and a single 'default' fallback. Rejects passwords with '#' or whitespace (which break parsers) and reminds you to chmod 600.
Locally-Administered Unicast MAC Generator
Generate random MAC addresses with the U/L bit = 1 (locally administered) and I/G = 0 (unicast) — the first octet always lands at x2, x6, xA or xE, avoiding collisions with real OUIs. Formats: colon, hyphen, Cisco dot and bare.
Thue-Morse Sequence
Generate the first terms of the Thue-Morse sequence, the binary sequence whose n-th bit is the parity of the number of ones in the binary representation of n. It is cube-free and appears in chess, music and combinatorial game theory.
Kolakoski Sequence
Generate the first terms of the Kolakoski sequence, the self-describing sequence of 1s and 2s whose run lengths reproduce the sequence itself. One of the simplest examples of a self-referential mathematical object.
Recamán Sequence
Generate the first terms of the Recamán sequence: starting at 0, at each step n you subtract n if the result is positive and not yet visited, otherwise you add n. Famous for its visual pattern of arcs and the open question of whether it covers every integer.
Farey Sequence
Generate the Farey sequence of order n: all irreducible fractions between 0 and 1 whose denominator does not exceed n, in increasing order. Neighboring fractions satisfy the mediant and unit-determinant property, the basis of Ford circles.
Integer Partitions p(n)
Compute p(n), the number of ways to write an integer as a sum of positive integers regardless of order, and list the partitions for small values. A central function in the theory of partitions studied by Euler and Ramanujan.
Stirling Numbers (Second Kind)
Generate row n of the Stirling numbers of the second kind S(n,k), which count the ways a set of n elements can be partitioned into k non-empty subsets. They appear in combinatorics, in converting between powers and falling factorials, and in partition theory.
Eulerian Numbers
Generate row n of the triangle of Eulerian numbers A(n,k), which count how many permutations of n elements have exactly k ascents (positions where the next value is larger). Each row sums to n! and they link to Eulerian polynomials and permutation statistics.
Motzkin Numbers
Generate the first Motzkin numbers, which count the ways to draw non-crossing chords between points on a circle, among many other combinatorial interpretations. The sequence starts 1, 1, 2, 4, 9, 21, 51, 127 and is a cousin of the Catalan numbers.
Schröder Numbers
Generate the first large Schröder numbers, which count the lattice paths from (0,0) to (n,n) using right, up and diagonal steps without crossing the main diagonal. The sequence starts 1, 2, 6, 22, 90, 394, 1806 and appears in subdivision and parenthesization problems.
Narayana Numbers (Triangle)
Generate row n of the Narayana triangle N(n,k) = C(n,k)·C(n,k−1)/n, which refines the Catalan numbers: each row sums to a Catalan number. They count, for example, the Dyck paths of length 2n with exactly k peaks. A symmetric, elegant triangle.
Central Delannoy Numbers
Generate the first central Delannoy numbers, which count the paths from (0,0) to (n,n) on a grid using east, north and northeast (diagonal) steps. The sequence starts 1, 3, 13, 63, 321, 1683 and relates to the Schröder numbers and lattice geometry.
Bernoulli Numbers
Generate the Bernoulli numbers B(0) to B(n) as exact fractions. These rationals appear in sums of integer powers, in the Taylor series of trigonometric functions and in the Riemann zeta function. They start 1, −1/2, 1/6, 0, −1/30, 0, 1/42 and the odd ones above 1 are zero.
Lah Numbers
Generate row n of the Lah numbers L(n,k) = C(n−1,k−1)·n!/k!, which count the ways a set of n elements can be partitioned into k non-empty ordered lists. They are the coefficients that convert rising factorials into falling ones and appear in combinatorics and umbral calculus.
Tetrahedral Numbers
Generate the tetrahedral numbers, which count how many spheres form a triangular-based pyramid: T(n) = n(n+1)(n+2)/6. The sequence starts 1, 4, 10, 20, 35, 56 and is the three-dimensional version of the triangular numbers (each term is the sum of triangulars up to n).
Square Pyramidal Numbers
Generate the square pyramidal numbers, which count the spheres stacked in a square-based pyramid: P(n) = n(n+1)(2n+1)/6 — also the sum of the first n perfect squares. The sequence starts 1, 5, 14, 30, 55, 91 and is famous for the cannonball problem.
Star Numbers
Generate the star numbers, which count the dots of a centered six-pointed star (hexagram): S(n) = 6n(n−1) + 1. The sequence starts 1, 13, 37, 73, 121, 181. They are centered figurate numbers related to the centered hexagonal numbers.
Pronic (Oblong) Numbers
Generate the pronic numbers (also called oblong or heteromecic), the product of two consecutive integers: P(n) = n(n+1). The sequence starts 0, 2, 6, 12, 20, 30, 42. They are twice the triangular numbers and the sum of the first n even numbers.
Pythagorean Triples Generator
Generate the Pythagorean triples (a, b, c) with a² + b² = c² up to a maximum hypotenuse, marking which are primitive (sides with no common factor). Uses Euclid's formula with pairs of integers m > n. Useful in geometry, trigonometry and number theory.
Sphenic Numbers
Generate the sphenic numbers, the integers that are the product of exactly three distinct primes, such as 30 = 2·3·5 and 42 = 2·3·7. The sequence starts 30, 42, 66, 70, 78, 102, 105, 110. Every sphenic number has exactly eight divisors.
Binary Heap Builder
Build a binary heap (min or max) by inserting a sequence of numbers one by one with the sift-up operation. Shows the final heap array and its level-by-level structure. The heap is the basis of the priority queue and of heapsort.
Subsets Generator (Power Set)
Generate all subsets of a set — the power set —, which for n elements are 2ⁿ subsets, including the empty set and the set itself. Useful in combinatorics, brute force and case enumeration.
Combinations Generator (k of n)
List all combinations of k elements chosen from a set of n, without repetition and regardless of order — that is C(n,k) combinations. Unlike permutations, {1,2} and {2,1} count as the same. Useful in draws, testing and combinatorial analysis.
✅ Validators
CPF Validator
Validate Brazilian CPF numbers instantly using the official algorithm. Useful for testing document validation in applications. No data sent to servers.
Batch CPF Validator
Validate a list of CPFs (one per line) and see which are valid and which are not. No data sent to servers.
Batch CNPJ Validator
Validate a list of CNPJs (one per line) with a summary of valid, invalid and total. No data sent to servers.
Pix Key Validator
Validate Brazilian Pix keys of any type: CPF, CNPJ, email, phone (+55) or random UUID. Detects the type automatically.
Tracking Code Validator
Validate the format of Brazilian Correios tracking codes (AA123456789BR). Identifies the service prefix and the country.
Alphanumeric CNPJ Validator
Validate the new Brazilian alphanumeric CNPJ format (IN RFB 2.119/2022): 12 alphanumeric characters plus 2 mod-11 check digits.
NFe Key Validator
Validate Brazilian electronic invoice access keys (44 digits) with mod-11, state code and model checks. Decomposes the fields for audit.
IBAN Validator
Validate any international IBAN following ISO 13616 (mod-97) with country and length checks. Runs entirely in your browser — no data is sent anywhere.
CNPJ Validator
Validate Brazilian CNPJ numbers instantly using the official algorithm. Useful for testing fiscal document validation. No data sent to servers.
PIS/PASEP Validator
Validate Brazilian PIS/PASEP numbers using the official check-digit algorithm. No data sent to servers. Free and no sign-up.
RENAVAM Validator
Validate Brazilian RENAVAM vehicle registration numbers using the official DENATRAN algorithm. No data sent to servers.
Brazilian Voter ID Validator
Validate Brazilian voter ID (Título de Eleitor) numbers using the official TSE algorithm. No data sent to servers.
CNH Validator
Validate Brazilian driver's license (CNH) numbers using the official DETRAN algorithm. No data sent to servers.
Credit Card Validator
Validate credit card numbers using the Luhn algorithm. Identifies the card brand and verifies the check digit, no data sent to servers.
RG Validator
Validate Brazilian RG numbers in the SP format (9 digits + check digit). Browser-side verification, no data sent to servers.
Brazilian Certificate Number Validator
Validate Brazilian birth, marriage or death certificate numbers in the 32-digit CNJ format. Browser-side verification.
Brazilian State Tax ID Validator
Validate Brazilian State Tax IDs (Inscrição Estadual) for SP, RJ, MG, RS, PR and BA. Browser-side verification.
Brazilian Bank Account Validator
Validate Brazilian bank account numbers by check digit for major banks (Bradesco, Itaú, Banco do Brasil, Santander and Caixa). Browser-side verification.
Email Validator
Check if an email address is valid. Analyzes structure, domain and local part. Processed in the browser, no data sent to any server.
URL Validator
Check if a URL is valid and analyze its parts: protocol, domain, path, parameters and hash. Processed in the browser.
UUID Validator
Validate UUIDs (v1, v3, v4, v5, v7) and identify the version. Accepts with or without hyphens, upper or lower case. Everything in your browser.
MAC Address Validator
Validate MAC addresses in colon (xx:xx:xx:xx:xx:xx), hyphen, Cisco (xxxx.xxxx.xxxx) or no-separator formats. Identifies unicast/multicast and local/universal. Everything in your browser.
IP Validator (v4 and v6)
Validate IPv4 and IPv6 addresses with auto-detection. Shows class (A/B/C/D/E), private vs public, loopback, multicast and canonical format. Everything in your browser.
Hex Color Validator
Validate hex colors in #RGB, #RGBA, #RRGGBB or #RRGGBBAA format and convert between them. Everything in your browser.
Vehicle Plate Validator (BR)
Validate Brazilian vehicle plates in old (ABC-1234) and Mercosul (ABC1D23) formats. Auto-detects which one. Everything in your browser.
JWT Structure Validator
Verify whether a JWT has valid structure (3 segments), header and payload decodable in base64url, and shows exp, iat, nbf and any claims. Everything in your browser.
Slug Validator
Check whether a slug is in valid format (a-z, 0-9, hyphens, no accents, no spaces, no double or edge hyphens). Suggests a fix. Everything in your browser.
Domain Name Validator
Validate domain names per RFCs 1034/1035: max length, allowed chars, max 63-char labels, IDN. Supports subdomains. Everything in your browser.
SemVer Validator
Validate a semantic version (semver.org) and show major, minor, patch, prerelease and build metadata separately.
Cron Expression Validator
Validate a cron expression (5 or 6 fields) and indicate which field is wrong. Accepts lists, ranges and steps.
JSON Schema Validator
Paste a JSON Schema and a document; check whether the document validates and which errors appear (path + message).
GraphQL Query Validator
Check if a GraphQL query/mutation/subscription is syntactically valid and show the operation tree.
OpenAPI Validator
Paste an OpenAPI 3.x document (YAML or JSON) and check required fields (info, paths, openapi). Lists errors and operation count.
TOML Validator
Verify whether TOML content is syntactically valid. Error messages with line and column.
ISO 8601 Date Validator
Verify whether a string is a valid ISO 8601 date/time (with timezone) and show the detected components.
CSS Selector Validator
Verify whether a CSS selector is valid and compute its specificity (a,b,c). Lists detected classes, IDs and elements.
XPath Validator
Verify whether an XPath expression is syntactically valid against a pasted HTML document. Counts how many nodes match.
Rust Regex Validator
Compile a regex using the Rust regex crate syntax subset. Flags unsupported features (lookarounds, backrefs).
Base64 Validator
Check whether a string is valid Base64 (with or without padding). Shows decoded size and whether content looks like UTF-8 or binary.
Base32 Validator
Check whether a string is valid Base32 (RFC 4648). Accepts = padding. Shows payload size in bytes.
ISBN Validator
Validate ISBN-10 and ISBN-13 by check digit (hyphens and spaces accepted).
ISSN Validator
Validate ISSN (8 digits, mod-11 check digit) used by journals.
DOI Validator
Validate DOI format (10.PREFIX/SUFFIX) per Crossref. Format only — does not check existence.
IMEI Validator
Validate 15-digit IMEI by Luhn algorithm. Useful for mobile device IMEIs.
VIN Validator
Validate Vehicle Identification Number (17 chars) using position-9 check digit.
BIC / SWIFT Validator
Validate BIC/SWIFT format (8 or 11 alphanumeric chars).
ISIN Validator
Validate 12-char ISINs (International Securities Identification Number).
ISO 3166 Country Code Validator
Validate ISO 3166-1 alpha-2 / alpha-3 country codes and resolve country name.
ISO 4217 Currency Code Validator
Validate ISO 4217 currency codes (BRL, USD, EUR, JPY) and resolve currency name.
ISO 639 Language Code Validator
Validate ISO 639-1 / ISO 639-2 language codes and resolve language name.
Luhn Validator (generic)
Validate any numeric sequence using Luhn (mod 10) — used in credit cards, IMEI, ICCID and other IDs. Shows check digit.
Portugal Postal Code Validator
Validate Portuguese postal codes (####-###) and identify region by first two digits (Lisboa, Porto, Coimbra, etc.).
Portugal NIF Validator
Validate Portuguese NIF (Tax ID) — mod 11 check digit and valid prefixes (1, 2, 3, 5, 6, 8, 9).
Brazilian Passport Validator
Validate Brazilian passport format: 2 letters + 6 digits (AB123456). Format only — no authenticity check.
IATA Airport Code Validator
Validate IATA airport code format: 3 uppercase letters (GRU, JFK, CDG). Format check and common examples.
ICAO Airport Code Validator
Validate ICAO airport code format: 4 uppercase letters (SBGR, KJFK, EGLL). Country region prefixes included.
Mexico RFC Validator
Validate Mexican RFC (Tax ID) — individual (13 chars) or company (12 chars). Format and check digit.
Mexico CURP Validator
Validate Mexican CURP (Unique Population Registry Code) — 18 chars with specific format for name, date, sex, state and check digit.
Spain DNI/NIE Validator
Validate Spanish DNI (National ID) and NIE (Foreigner ID) — checks control letter using official algorithm.
Argentina CUIT Validator
Validate Argentine CUIT/CUIL (Tax/Labor ID) — 11 digits with type prefix and mod 11 check digit.
Chile RUT Validator
Validate Chilean RUT (Tax ID) — number + check digit (0-9 or K) computed via mod 11. Accepts dotted/hyphenated format.
ISO 3166 Country Code Validator
Validate ISO 3166-1 alpha-2 (BR, US) and alpha-3 (BRA, USA) country codes and show the country name. ~250 countries.
CUSIP Validator
Validate CUSIP (US securities ID) of 9 characters via check digit.
CSS Named Color Validator
Check if a string is a standard CSS named color and resolve hex.
MIME Type Validator
Validate MIME type format per RFC 6838 (does not check existence).
TCP/UDP Port Validator
Validate TCP/UDP port number and classify range.
GPS Coordinates Validator
Validate GPS coordinates (lat in [-90,90], lng in [-180,180]).
ISRC Validator
Validate ISRC format (CC-XXX-YY-NNNNN) used in music recordings.
ORCID Validator
Validate ORCID (researcher identifier) with ISO 7064 mod 11-2 check digit.
IATA Airport Code Validator
Validate 3-letter IATA airport code and resolve name (top ~50 airports).
IMO Number Validator
Validate 7-digit IMO numbers (International Maritime Organization) with checksum.
MMSI Validator
Validate 9-digit MMSI numbers used in maritime VHF and AIS.
Amateur Radio Callsign Validator
Validate amateur radio callsign format (1-2 letters + digit + 1-3 letters).
IATA Airline Code Validator
Validate IATA airline codes (2 alphanumeric chars, e.g., LA, AA, G3).
ICAO Airport Code Validator
Validate 4-letter ICAO airport codes (different from IATA 3-letter).
SPDX License Validator
Validate SPDX license IDs (MIT, Apache-2.0, GPL-3.0-only, ...) against ~150 entries.
Python PEP Number Validator
Validate Python PEP number format (1-4 digits, no leading zeros).
Brazilian CNH Number Validator
Validate Brazilian Driver License (CNH) registry number with check digit algorithm.
Base58 Validator
Validate Base58 (Bitcoin alphabet, no 0, O, I, l).
Base32hex Validator
Validate Base32hex encoding (RFC 4648, alphabet 0-9 A-V).
ULID Validator
Validate ULID format (26 Crockford-Base32 chars).
ASN (BGP) Validator
Validate Autonomous System Number (ASN) used in BGP, decimal or AS-prefixed.
Bitcoin Address Validator
Validate Bitcoin address formats: P2PKH (1...), P2SH (3...), Bech32 (bc1/tb1).
Ethereum Address Validator
Validate Ethereum address format and EIP-55 checksum when mixed-case.
Solana Address Validator
Validate Solana address format (Base58, 32-44 chars).
TRON Address Validator
Validate TRON address format (T + 33 Base58 chars, total 34).
EU VAT (per country) Validator
Validate EU VAT format per country (DE, FR, IT, ES, PT, NL, BE, AT…).
MAC OUI (Vendor) Validator
Validate OUI (first 6 hex of MAC) and look up vendor (~30 major vendors).
IETF RFC Number Validator
Validate IETF RFC number format (1-5 digits, no leading zeros).
Cipher IV (Hex) Validator
Validate hex IV size for AES (16), DES (8), ChaCha20 (12) bytes.
/etc/shadow line validator
Validate /etc/shadow line format (9 colon-separated fields).
BBAN format validator (per country)
Validate BBAN format per country (BR, DE, FR, GB, IT).
EAN-8 Validator
Validate EAN-8 (8-digit) barcode used on small packaging.
EAN-13 Validator
Validate EAN-13 (13-digit) retail barcode.
UPC-A Validator
Validate UPC-A (12-digit) barcode used in US/Canada retail.
ITF-14 Validator
Validate ITF-14 (14-digit) shipping carton barcode.
Creative Commons License Validator
Validate short CC license identifiers (CC0, CC-BY, CC-BY-SA…) and show full name.
IMDb ID Validator
Validate IMDb ID format (tt followed by 7+ digits).
BR CEP Format Validator
Validate Brazilian CEP format (8 digits, with or without hyphen).
ICD-10 Code Format Validator
Validate ICD-10 code format (letter + 2 digits + optional dot + 1-4 alphanum).
BR Mobile Number Validator (ANATEL)
Validate Brazilian mobile (ANATEL post-2016): DDD + 9 + 8 digits = 11 total.
IBGE City Code Validator
Validate Brazilian IBGE city code format: 7 digits, first 2 = state code.
Brazilian DDD Validator
Validate Brazilian DDD area code (2 digits) and show region.
CEP Range Validator
Identify Brazilian region from first 2 digits of CEP code.
IATA Airport (extended list)
Validate IATA airport code against ~120 major global airports with name+country.
Aircraft Registration Validator
Validate aircraft registration by country prefix (PT-XYZ BR, N123AB US, G-XXXX UK).
Time Marker (ISO 8601) Validator
Validate ISO 8601 full timestamp format with UTC, offsets and millis.
PIB / Company Tax ID format Validator
Validate company tax ID formats: CIF Spain, NIPC Portugal, USt-IdNr Germany.
Pioneer DJ License Format Validator
Validate Pioneer DJ rekordbox license format: 4 groups of 4-5 alphanum separated by dashes.
UTF-8 Validator
Check if a byte sequence (in hex) is valid UTF-8 — for debugging file encoding. Decodes if valid.
Base91 Validator
Check if a string uses only Base91 characters (letters, digits and specific symbols like !#$%&()*+...). Format only.
Magnet Link Validator
Validate magnet link format (magnet:?xt=urn:btih:...) and extract params: hash, torrent name, trackers, size.
Data URI Validator
Validate Data URI format (data:[mediatype][;base64],data) and show mediatype, encoding and payload size.
TLD Validator
Check if a string is a known valid TLD (top-level domain) — covers major cTLDs (com, org, br, uk) and new gTLDs (app, dev, io).
Twitter/X @handle Validator
Validate Twitter/X handle format: 1-15 chars, letters, digits and _. Does not check availability.
GitHub Handle Validator
Validate GitHub username format: 1-39 alphanumerics and hyphens, no leading/trailing hyphens, no consecutive hyphens.
Geographic Coordinate Validator
Accepts coordinates in multiple formats (decimal, DMS, with hemispheres) and validates lat/lon ranges.
Flag Emoji Validator
Check if an emoji is a valid country flag (Regional Indicator Symbols). Shows ISO 3166-1 alpha-2.
CPF/CNPJ Detector & Validator
Auto-detect if a string is CPF (11 digits) or CNPJ (14 digits) and validate its check digit.
Promo Code Validator
Check a promo code against configured format: length, allowed chars (alnum/hyphen) and optional Luhn checksum.
Country Bank Account Validator
Validate basic bank account format by country: BR (X-D), PT (21-digit NIB), US (9-digit routing), CA, UK.
Portugal IBAN Validator
Validate Portuguese IBANs (PT50): format and mod-97 checksum. Shows agency, account and check digits.
Spain IBAN Validator
Validate Spanish IBANs (ES) — 24 chars with mod-97 checksum and bank/branch codes. For international billing systems.
Germany IBAN Validator
Validate German IBANs (DE) — 22 chars with BLZ (8 digits) and account number. Uses standard mod-97.
MongoDB ObjectId Validator
Validate that a string is a valid MongoDB ObjectId: 24 hex chars. Shows embedded timestamp (first 4 bytes).
Generic ObjectId Validator
Validate generic ObjectId formats used in NoSQL DBs: MongoDB (24 hex), Couchbase (UUID), Cassandra (TimeUUID).
UUID Version Detector
Detect a UUID version (v1-v8) from the version and variant fields. Also shows embedded timestamp in UUIDv1/v6/v7.
Base32 Hex Validator
Check if a string uses only the Base32 Hex alphabet (0-9, A-V). DNS variant per RFC 4648.
Base32 Crockford Validator
Check if a string uses only the Base32 Crockford alphabet (omits I, L, O, U to avoid ambiguity). Common in human-readable IDs.
Bitcoin Address Validator
Validate Bitcoin addresses in legacy (P2PKH 1...), P2SH (3...) and Bech32 (bc1...) formats. Format only — no blockchain lookup.
Ethereum Address Validator
Validate Ethereum addresses (0x + 40 hex). Detects EIP-55 checksum (mixed case) and indicates if the address is valid with checksum.
PT Postal Code Full Validator
Full Portugal postal code validator: ####-### format + district detection (Lisboa, Porto, Coimbra, etc.) based on first 4 digits.
BR Postal Code Validator with State
Validate Brazilian postal code (#####-###) format and identify approximate state by first 3 digits. No external lookups.
Country-aware Cellphone Validator
Validate mobile phone number for chosen country (BR, US, PT, ES, AR, MX). Country-specific rules.
Date Format Validator (ISO/Common)
Check if a date is in ISO 8601 or common formats (YYYY-MM-DD, DD/MM/YYYY, MM/DD/YYYY). Auto-detects format.
UTM Parameters Validator
Validate URL with UTM params (utm_source, medium, campaign, content, term). Checks presence, format (lowercase), no spaces.
Google Analytics ID Validator
Validate Google Analytics ID formats: UA-XXXXX-Y (universal) and G-XXXXXXXXXX (GA4). Identifies type.
Google Tag Manager ID Validator
Validate GTM ID format: GTM-XXXXXXX (7 alphanumeric chars after GTM-). For implementation audits.
Google Ads Customer ID Validator
Validate Google Ads Customer ID format: 10 digits with hyphens (XXX-XXX-XXXX). Format only — no existence check.
Meta Pixel ID Validator
Validate Meta Pixel ID format (Facebook/Instagram): 15-16 numeric digits. Checks integrity and simple checksum.
Stripe Public Key Validator
Validate Stripe public key format: pk_live_... (production) or pk_test_... (test). Checks prefix, length, alnum charset.
PayPal Client ID Validator
Validate PayPal Client ID format: 80 alphanumeric chars (prefix A for sandbox/live). Format only.
Itaú Bank Account Validator
Validate Itaú checking account format and check digit: 4-digit branch + 5-digit account + 1 DV. Self-check algorithm.
Bradesco Bank Account Validator
Validate Bradesco account format: 4-digit branch + 7-digit account + 1 DV. Checks format and bank patterns.
BDI Range Validator (TCU)
Check if a BDI (Indirect Costs) value is within the reasonable range (15-30%) recommended by TCU for construction.
Quote Number Validator
Validate common quote number formats (PREFIX-YYYY-NNNNN). Year must be 2000-2099 and sequence > 0.
CEST Code Validator
Validate CEST code format (XX.XXX.XX), 7 digits. Checks if segment (XX) is in 01-28 (official).
NCM Code Validator
Validate NCM format (8 numeric digits). Decomposes into chapter (2), position (2), subposition (2), item (2). No official table check.
IBGE UF Code Validator
Validate IBGE UF code (2 digits: 11-53). Covers the 27 official codes and shows UF and name.
IBGE Municipality Code Validator
Validate IBGE municipality code format (7 digits: UF + 5 inner). Checks if first 2 are a valid UF.
LIBRAS Code Validator
Validate simple LIBRAS (Brazilian Sign Language) transcription using basic SignWriting notation.
CGC (Old CNPJ) Validator
Validate format and check digit of CGC (former Brazilian Tax Registry, predecessor to CNPJ). Same math rules.
CNAE Section Validator
Validate if a 7-digit CNAE code belongs to a section (A-U). Shows the corresponding CNAE 2.0 section.
Receipt Number Validator
Validate common receipt number formats (REC-YYYY-NNNNN or REC.NNNNN). Accepts variations with dots and dashes. Validates year.
Payment Term Code Validator
Validate common payment term codes: CASH, 30D, 30/60, 30/60/90, 60D, etc. Decomposes installments.
Order Number Validator
Validate common e-commerce order number formats: ORD-XXXX, ORDER-NNNN, #N alphanumeric. Auto-detects type.
Vehicle Plate Validator (Mercosur + old)
Validate plate formats: old (AAA-9999) and Mercosur (AAA9A99). Auto-detects format.
Correios Tracking Code Validator
Validate Correios tracking format (AA999999999BR) and compute DV with official algorithm.
IPTU (Property Tax) Number Validator
Validate IPTU (Brazilian property tax) registration format — varies by city, generally 8-15 digits. Generic format check.
IPVA Code Validator
Validate IPVA code (Brazilian Vehicle Tax), generated from RENAVAM. Format and digits check.
Traffic Violation Code Validator (DETRAN)
Validate Brazilian traffic violation code — UF-NN-NNNNNNNN format. Pattern check.
Credit Instrument Number Validator
Validate format of common credit instrument numbers: invoice, promissory note, check, bill of exchange.
Legacy RENAVAM Validator (9 digits)
Validate the old RENAVAM format (9 digits) used before 2013. For validating legacy vehicle database data.
ISBN-13 with Checksum Validator
Validate ISBN-13 (13 digits) — modern format since 2007. Includes 978/979 prefix and EAN-13 check digit.
Real ISSN Validator with Checksum
Validate ISSN (8 digits: NNNN-NNNX where X may be 0-9 or X). Format check and MOD 11 algorithm.
Shopee/Mercado Envios Tracking Validator
Validate Shopee Brazil (BR + 12 digits) and Mercado Envios (BR + 14 digits) tracking codes. Auto-detect.
ISO 8601 Time Strict Validator
Strictly validate ISO 8601 duration / instant strings.
Base91 Validator
Validate that a string uses only Base91 alphabet characters.
IBAN Length Validator
Validate IBAN by country prefix and length.
EAN-8 Checksum Validator
Validate an EAN-8 barcode with checksum.
EAN-13 Checksum Validator
Validate an EAN-13 barcode with checksum.
CC Expiry Validator
Validate credit card expiry in MM/YY format.
RG-UF Format Validator
Validate Brazilian RG format with UF (ex: 12.345.678-9/SP).
RG-SP Format Validator
Validate São Paulo RG format (8-9 digits + check digit).
RG-RJ Format Validator
Validate Rio de Janeiro RG format.
RG-MG Format Validator
Validate Minas Gerais RG format.
PIS Format Validator
Validate PIS/PASEP format and checksum.
CEI Format Validator
Validate CEI format (12 digits).
CNAE Format Validator
Validate CNAE 2.3 code format (7 digits).
CEP UF Validator
Validate CEP and infer UF from prefix ranges.
ICMS Rate Validator
Validate ICMS rate as percentage (0-25).
CBO Format Validator
Validate CBO 2002 code format (6 digits).
CNPJ Base/Branch Validator
Validate just 8 base + 4 branch digits of CNPJ (no DV).
CPF + Issue Date Validator
Validate extended CPF + DDMMAAAA format.
FEBRABAN Bank Code Validator
Validate FEBRABAN bank code (3 digits 001-999).
Bank Branch Validator
Validate Brazilian bank branch format (4 digits + optional DV).
Japan Postal Validator
Validate Japanese postal code (〒NNN-NNNN).
UK Postcode Validator
Validate UK postcode (SW1A 1AA pattern).
France Postal Validator
Validate French postal code (5 digits).
Germany Postal Validator
Validate German PLZ (5 digits).
Canada Postal Validator
Validate Canadian postal code (A1A 1A1).
US ZIP Validator
Validate US ZIP code (5 or 5+4 digits).
US Passport Format Validator
Validate US passport format (9 alphanumeric).
US SSN Format Validator
Validate US SSN format (3-2-4 digits).
US ITIN Format Validator
Validate US ITIN format (9XX-XX-XXXX).
US EIN Format Validator
Validate US EIN format (2-7 digits).
Canada SIN Format Validator
Validate Canadian SIN format (3-3-3 digits).
SWIFT/BIC Completo
Valida código SWIFT/BIC (8 ou 11 caracteres).
VAT UK
Valida número VAT do Reino Unido (formato GBxxxxxxxxx).
VAT Alemão
Valida número VAT alemão (DEXXXXXXXXX).
VAT Francês
Valida número VAT francês (FRXXXXXXXXXXX).
VAT Italiano
Valida número VAT italiano (ITXXXXXXXXXXX).
VAT Espanhol
Valida formato NIF/CIF espanhol (ESXXXXXXXXX).
VAT Português
Valida NIF português (PTXXXXXXXXX, 9 dígitos).
TIN EUA Formato
Valida formato US TIN (SSN xxx-xx-xxxx ou EIN xx-xxxxxxx).
ABN Australian
Valida formato Australian Business Number (11 dígitos).
IFSC India
Valida formato IFSC bancário indiano (4 letras + 0 + 6 alfanum).
Validar Tiebreak Tênis
Verifica se um placar de tiebreak (X-Y) é válido: ≥7 e diferença ≥2.
OAuth Scope Checker
Verifica se um scope solicitado está nos scopes concedidos (separados por espaço).
JWT Validador exp/nbf/iat
Valida timestamps exp, nbf e iat de um JWT (sem verificar assinatura).
JWT Algoritmo: Policy Checker
Verifica se o "alg" do header JWT está em uma allowlist segura (rejeita "none" e HS256 em contextos JWE).
JWT JTI Format Verifier
Valida formato do JTI (recomendado: ≥16 chars, alfanumérico ou UUID).
Validador client_id / client_secret
Valida formato comum (alfanumérico, comprimento mínimo) de client_id e client_secret.
Formato de Endereço Bitcoin
Detecta o formato de endereço Bitcoin pelo prefixo: legacy (P2PKH), P2SH, segwit bech32 (P2WPKH/P2WSH) ou taproot (P2TR).
Checksum EIP-55 Ethereum
Verifica o checksum EIP-55 simplificado: endereços com mistura de maiúsculas/minúsculas devem seguir o padrão de capitalização.
Validador Last-Modified
Valida se um header Last-Modified está no formato RFC 7231 (HTTP-date).
Validador Header Expires
Valida o header Expires (RFC 7234) e calcula tempo até expirar.
WCAG Atalho de Teclado
Verifica se atalho de teclado segue WCAG 2.1.4 (não deve ser tecla única sem trigger ou opção desativar).
Validador Alt-Text
Valida tamanho de alt text — limite recomendado ~125 caracteres (leitores de tela cortam).
Validador Hierarquia H1-H6
Valida sequência de headings (não deve pular níveis: ex H1→H3 é erro).
Verificador hreflang vs lang
Checa consistência entre <html lang="..."> e link[hreflang] — devem casar.
Checker Seções Política Privacidade
Verifica quais seções obrigatórias estão presentes em uma política de privacidade.
ISBN-10 Validator
Validates ISBN-10 via mod-11 check digit per ISO 2108.
EAN-8 Validator
Validates EAN-8 barcodes computing the check digit per GS1 spec.
ITF-14 Validator
Validates ITF-14 codes (cartons/shipping) with GS1 mod-10 check digit.
ISMN Validator
Validates ISMN (International Standard Music Number) check digit per spec.
SEDOL Validator
Validates SEDOL codes (7 chars, LSE) with weighted check digit.
IMEI Validator (Luhn)
Validates a 15-digit IMEI via Luhn algorithm without TAC lookup.
IBAN DE Validator
Validates German IBAN (DE) checking length 22 and mod-97 check.
IBAN FR Validator
Validates French IBAN (FR) checking length 27 and mod-97 check.
IBAN ES Validator
Validates Spanish IBAN (ES) checking length 24 and mod-97 check.
IBAN IT Validator
Validates Italian IBAN (IT) checking length 27 and mod-97 check.
CFOP Validator
Validates Brazilian CFOP — 4 digits with valid prefix (1-7).
Detailed BIC/SWIFT Validator
Validates BIC format (8 or 11 chars) and extracts bank, country, location and branch — used in international wires.
FIGI Instrument Validator
Validates Financial Instrument Global Identifier (FIGI) — 12 characters with modulus 10 check digit.
LEI Validator (Legal Entity Identifier)
Validates 20-character LEI with ISO 17442 check digits — global legal entity identifier.
EIN US Validator (Employer ID Number)
Validates US EIN format (XX-XXXXXXX) and identifies the IRS issuing campus by the first two digits.
TFN Australia Validator
Validates Australian Tax File Number of 8 or 9 digits using official ATO check digit algorithm.
ABA Routing Number Validator
Validates 9-digit ABA Routing Number used by US banks with the 3-7-1 checksum algorithm.
NIP Poland Validator
Validates Polish NIP (10 digits) with official checksum — Poland equivalent of business tax ID.
CUIL Argentina Validator
Validates Argentine CUIL (Código Único de Identificación Laboral) with check digit — used in payroll.
PESEL Poland Validator
Validates Polish PESEL (11 digits) with checksum and extracts birth date and sex from the number.
NINo UK National Insurance Validator
Validates UK National Insurance Number (NINo) with prefix/suffix rules — format AA NN NN NN A.
ISAN Audiovisual Validator
Validates ISAN (International Standard Audiovisual Number) — 24 hex + 2 check digits for films and episodes.
ISMN Sheet Music Validator
Validates ISMN (International Standard Music Number) — printed sheet music identifier, prefix M or 979-0.
ITF-14 Checksum Validator
Validates ITF-14 logistics box code with GS1 check digit calculation — 14 digits.
Passport MRZ Validator
Validates ICAO 9303 passport machine-readable zone (MRZ) with checksums and extracts country, name, expiry.
Anvisa Drug Registration Validator
Validates Anvisa drug registration code format (13 digits with check digit per the official table).
CNES Health Facility Validator
Validates Brazilian National Registry of Health Facilities (CNES) — 7 digits.
Anvisa Cosmetic Notification Validator
Validates Anvisa cosmetic notification number format (category + sequential + digit) and extracts the category.
IATA City Code Validator
Validates 3-letter IATA city code (not airport) and cross-references against the metropolitan code list.
ICAO Airport Code Validator
Validates 4-letter ICAO airport code and identifies the country by its first letter (S=South America etc.).
MMSI Detailed Validator
Validates a 9-digit maritime MMSI and identifies type (ship, coast station, SAR, group) from the first digits.
MCC (Card) Validator
Validates 4-digit MCC codes used by card networks and shows the category description (e.g., 5411 = Grocery Stores).
Card BIN Validator
Identifies card brand (Visa, Master, Elo, Hipercard, Amex, JCB etc.) and type (credit/debit) from the first 6-8 digits of the card.
US ZIP Validator
Validates ZIP-5 and ZIP+4 codes from the United States with regex and state prefix table, detecting state/ZIP mismatches.
Canada Postal Code Validator
Validates the A1A 1A1 Canadian format, rejects forbidden letters (D, F, I, O, Q, U) and identifies the province by first letter.
ISO 639 Language Code Validator
Validate ISO 639-1 (2-letter), 639-2 (3-letter) and 639-3 language codes with lookup of the corresponding name and language family.
Luhn Online Validator
Validate any number using the Luhn algorithm (credit cards, IMEI, ICCID, various codes) and generate missing check digit.
ICCID SIM Validator
Validate the ICCID (Integrated Circuit Card Identifier) of SIM chips (19-20 digits) with Luhn digit check and carrier identification.
Dutch BSN Validator
Validate 9-digit Dutch Burgerservicenummer with the 11-test rule (weighted sum mod 11).
Italian Codice Fiscale Validator
Validate Italian Codice Fiscale (16 chars, final checksum letter) — used in documents and contracts in Italy.
Peruvian RUC Validator
Validate Peruvian RUC (11 digits, mod 11 checksum) — SUNAT Registro Único de Contribuyentes.
Bech32 / Bech32m Validator
Validate Bech32/Bech32m addresses (used in Bitcoin SegWit, Lightning, Cosmos, Polkadot) with BCH checksum and HRP separation.
CUID2 Validator
Validate IDs in CUID2 format (collision-resistant, 24 chars, base36, letter prefix), returning whether syntactically valid.
SPDX Expression Validator
Validate SPDX license expressions ("(MIT OR Apache-2.0) AND BSD-3-Clause") with official parser, useful for package.json and Cargo.toml.
RSS / Atom Feed Validator
Validate RSS 2.0 and Atom 1.0 by pasting XML — checks required elements, RFC dates, unique GUID/id and links W3C-style errors.
RFC 5322 Email Deep Validator
Strict RFC 5322 validator that checks local-part, quoted-strings, domain literals, nested comments and shows the address AST.
vCard / VCF Deep Validator
Validate pasted vCards 3.0/4.0, checking paired BEGIN/END, required properties (FN, VERSION), TYPE params and ISO dates.
EORI (EU) Validator
Validate the format of EORI (Economic Operators Registration and Identification) numbers used in EU customs.
PTR Record Format Validator
Check whether a PTR record is well-formed (in-addr.arpa for IPv4, ip6.arpa for IPv6) and generate the expected reverse name.
COSE Key Format Validator
Validate COSE key format (RFC 8152) in CBOR/hex, identifying type (EC2/OKP/Symmetric), curve and associated algorithm.
Strict SPF Record Validator
Validate SPF record syntax and semantics (RFC 7208) — detect lookup overflow, bad syntax and final all.
Strict Quartz Cron Validator
Validate Quartz Scheduler cron expressions (6 or 7 fields) with ? L W # and complex ranges.
IPv6 Zone ID Validator
Validate IPv6 addresses with Zone ID (fe80::1%eth0, RFC 6874) — link-local scoped addresses and URL form.
Eircode (Ireland) Validator
Validates Irish Eircode format (7 alphanumeric characters, e.g. D02 X285) with space normalization.
CAS Number (Chemical) Validator
Validates CAS Registry Number (xxxxxxx-xx-x format) with official checksum used to identify chemical substances.
JMBG (Serbia/Yugoslavia) Validator
Validates JMBG (Jedinstveni Maticni Broj Gradjana) 13-digit personal identifier from former Yugoslavia countries.
SSCC Barcode Validator
Validates SSCC (Serial Shipping Container Code) codes of 18 digits used in logistics for load unit identification.
GLN (Global Location Number) Validator
Validates GLN (Global Location Number) codes of 13 digits from the GS1 standard, used to identify company addresses and facilities.
VIN Validator (Country & Brand Decoder)
Decodes a 17-character VIN showing country of origin, manufacturer (WMI), model year and validating the check digit per ISO 3779 standard.
ISO 15924 Script Validator
Validates ISO 15924 codes for writing systems (Latn, Cyrl, Arab, Hans) with a table and description.
ISO 3166-2 Subdivision Validator
Validates ISO 3166-2 subdivision codes (BR-SP, US-CA, FR-IDF) and returns country and unit name.
CEF / LEEF Format Validator
Validates Common Event Format (ArcSight) and LEEF (QRadar) event structure, extracting header and extensions.
AI Bots Blocking Validator
Paste your robots.txt and see which AI bots (GPTBot, ClaudeBot, PerplexityBot, GoogleExtended) are blocked or allowed.
BEM Naming Validator
Validate CSS classes against the BEM convention (block, block__element, block--modifier, block__element--modifier) flagging violations.
ICU MessageFormat Syntax Validator
Analyze ICU MessageFormat messages detecting malformed placeholders, plurals missing the other case, missing select branches and invalid types.
Brazilian CBO Code Validator
Validate codes from the Brazilian Classification of Occupations (CBO 2002) with 6 digits, checking major-group/subgroup/family structure.
IMSI Validator (MCC/MNC)
Validate IMSI (International Mobile Subscriber Identity) numbers with 15 digits, breaking down MCC (country), MNC (operator) and MSIN.
IPFS CID Format Validator
Verify IPFS CID format v0 (Qm...) and v1 multibase, returning codec, multihash, digest size, and version.
YAML Anchor Circular Reference Validator
Detect anchors with circular references (loops) in YAML documents, common in complex Helm/Kubernetes configurations.
SMILES Chemical Notation Validator
Verify SMILES string syntax (atoms, bonds, rings, isomerism, parentheses). Highlights tokenization and valence errors.
Baker's Percent Recipe Validator
Verify that a baker's percentage recipe sums correctly (flour=100%, total of others consistent). Detects proportion errors.
EIA-96 Resistor Format Validator
Checks if a string follows the EIA-96 pattern (two digits from table 01-96 + multiplier letter A-Z). Reports specific error.
ITU Callsign Country Validator
Checks if a ham radio callsign matches the ITU prefix assigned to a country (e.g. PY Brazil, K USA, JA Japan). Displays country.
IBAN MOD-97 Batch Validator
Paste IBAN list (up to 200), validate each via MOD-97 algorithm and show country, bank (BBAN), check digits. Export CSV with results.
UIC Railway Vehicle Number Validator (12 digits)
Validate a UIC rolling-stock number (12 digits) by computing the Luhn-like check digit per UIC Leaflet 438.
DUNS Number Format Validator
Validate the 9-digit Dun & Bradstreet D-U-N-S Number, accepting hyphens and spaces. Rejects reserved placeholders like 000000000 and 999999999.
Austrian SVNR Validator
Validates Austrian Sozialversicherungsnummer (10 digits, with weighted check digit) used in SaaS and HR.
Swedish Personnummer Validator
Validates Swedish personnummer (YYMMDD-XXXX with Luhn) including date and gender check.
Finnish Henkilötunnus Validator
Validates Finnish personal identity code (DDMMYYCZZZQ) with date, century separator and alphanumeric checksum.
Damm Checksum Validator
Compute and validate the Damm (2004) check digit — a totally anti-symmetric quasigroup algorithm detecting 100% of single-digit typos and adjacent transpositions. Simpler than Verhoeff: a single 10×10 op table, no permutations.
Qatar QID Validator
Validate the Qatari ID (QID) — national 11-digit number in C YY CC S SSSSS layout: century digit (2=1900s, 3=2000s), 2-digit year of birth, country code, series digit and serial. Structural validation — no official checksum.
🔄 Converters
PDF to Images
Convert PDF pages to individual PNG images. Everything in your browser via pdf.js.
Pixel Art Converter
Convert an image to pixel art by reducing resolution and color palette. Stylized retro output.
Currency Converter
Convert between major currencies (USD, EUR, BRL, GBP, JPY, ARS) using live rates from open.er-api.com.
Braille Converter
Converts text between Latin alphabet and Braille (Unicode 6-dot U+2800 to U+28FF). Bidirectional.
Subtitle Converter
Converts subtitle files between SRT and VTT formats. Useful for reusing subtitles across platforms.
Case Converter
Convert text between UPPERCASE, lowercase, Title Case, Sentence case, aLtErNaTiNg and iNvErTeD. Runs in your browser.
Format CPF
Format Brazilian CPF numbers by adding or removing the 000.000.000-00 mask. Accepts a list with one CPF per line. Runs in your browser.
Format CNPJ
Format Brazilian CNPJ numbers by adding or removing the 00.000.000/0000-00 mask. Accepts a list with one CNPJ per line. Runs in your browser.
Base64 Converter
Encode text to Base64 or decode Base64 strings back to the original. Free online tool with no server required.
URL Encode / Decode
Encode text for safe use in URLs (percent-encoding) or decode URL-encoded strings back to the original. Processed in the browser.
Binary Code Translator
Convert text to binary code (0s and 1s) and vice versa. Supports any ASCII character. Processed in the browser.
Unix Timestamp Converter
Convert Unix timestamps to human-readable dates and vice versa. Supports seconds and milliseconds. Shows local time and UTC.
Morse Code Converter
Convert text to Morse code and vice versa. Supports letters, numbers and punctuation. Instant result in the browser.
Number Base Converter
Convert numbers between binary (base 2), octal (base 8), decimal (base 10) and hexadecimal (base 16). Instant bidirectional conversion.
Measurements Converter
Convert between units of length, mass, temperature, area, volume and speed. Instant result in the browser.
Caesar Cipher
Encode and decode messages with the Caesar Cipher. Choose the shift (1–25) and convert text instantly in the browser.
Color Converter
Convert colors between HEX, RGB, HSL and CMYK instantly. Enter any format and get equivalents in the others. Live color preview.
Byte Size Converter
Convert file sizes between bits, bytes, KB, MB, GB, TB and PB. Supports SI (decimal) and IEC (binary) scales. Instant result.
Angle Converter
Convert angles between degrees (°), radians (rad), gradians (grad) and turns. Instant result in the browser.
Date Format Converter
Convert dates between the most common formats: dd/mm/yyyy, yyyy-mm-dd, mm/dd/yyyy, ISO 8601 and Unix timestamp.
Text ↔ Hex Converter
Convert ASCII text to hexadecimal values and vice versa, character by character. Useful for debugging, encoding and protocol analysis.
Text ↔ Decimal Converter
Convert ASCII text to decimal codes and vice versa. Each character is represented by its decimal value in the ASCII table.
Numeric Bases Converter
Convert numbers between binary (base 2), decimal (base 10), hexadecimal (base 16) and octal (base 8). Type in any field for instant conversion in the others.
XML to JSON
Convert XML data to JSON format quickly and easily.
JSON to XML
Convert JSON data to XML format quickly and easily.
YAML to JSON
Convert YAML data to JSON format.
JSON to YAML
Convert JSON data to YAML format.
Markdown to HTML
Convert Markdown text to HTML code.
HTML to Markdown
Convert HTML code to Markdown text.
Base32 Encoder / Decoder
Encode text to Base32 or decode Base32 strings back to the original.
Base58 Encoder / Decoder
Encode text to Base58 or decode Base58 strings back to the original. Used in cryptocurrencies like Bitcoin.
Image to Base64
Convert images to Base64 strings for use in CSS, HTML or APIs. Supports PNG, JPG, GIF, SVG and WebP.
Base64 to Image
Convert Base64 strings back to an image to visualize and download.
Unit Converter
Convert units of length, mass, temperature, area, volume and speed. Supports metric and imperial systems with instant conversion.
Temperature Converter
Convert temperatures between Celsius, Fahrenheit, Kelvin and Rankine in real time. Simple, fast and processed directly in your browser.
HTML to JSX
Convert HTML to React JSX automatically. Transforms class→className, for→htmlFor, converts attributes to camelCase and closes void tags.
Image Format Converter
Convert images between PNG, JPEG and WebP formats directly in your browser. No server upload — complete privacy.
NATO Phonetic Alphabet
Convert words to the NATO phonetic alphabet (Alpha, Bravo, Charlie...) used by the military, pilots and radio operators. Useful to spell names or codes over the phone clearly. Everything in your browser.
JSON to TypeScript
Convert a JSON to TypeScript interfaces with automatically inferred types. Detects strings, numbers, booleans, arrays, nested objects and union types. Everything in your browser.
Punycode Encoder/Decoder
Convert IDN domains (with accents or non-ASCII characters) to Punycode (xn--...) and back. Useful for registering international domains and validating emails. Everything in your browser.
JSON to Go Struct
Convert a JSON to a Go struct with `json:` tags and inferred types. Detects strings, ints, floats, bools, slices and nested structs. Everything in your browser.
Coordinates Converter
Convert geographic coordinates between decimal degrees (DD) and degrees-minutes-seconds (DMS). Handles formats like -23.55 ↔ 23°33'00"S. Everything in your browser.
IPv4 Format Converter
Convert IPv4 addresses between formats: dotted decimal (192.168.1.1), integer (3232235777), hexadecimal (0xC0A80101) and binary. Everything in your browser.
JSON to TOML
Convert JSON to TOML, the readable config format used by Cargo (Rust), pyproject.toml, Hugo, etc. Supports strings, numbers, booleans, arrays and nested tables. Everything in your browser.
TOML to JSON
Convert TOML to JSON. Supports strings, integers, floats, booleans, dates, arrays and nested tables. Useful to inspect configs or pipe them into scripts. Everything in your browser.
CSV to JSON
Convert CSV to JSON. The first row becomes object keys, the rest become array items. Supports separators , ; and \t. Auto-detects numbers and booleans. Everything in your browser.
CSV to Markdown Table
Convert CSV to a Markdown table ready for READMEs, docs and Wikis. Auto-detects separator (comma, semicolon or tab) and supports per-column alignment. Everything in your browser.
JSON to PHP Array
Convert JSON to a PHP array in "short" (`[]`) or "long" (`array()`) syntax. Useful to generate config and seed files in Laravel/Symfony projects. Everything in your browser.
JSON to Java Class
Convert JSON to a Java POJO class with getters/setters and inferred types. Supports nested classes and arrays as List. Everything in your browser.
JSON to C# Class
Convert JSON to a C# class with auto-implemented properties. Detects primitive types, lists, arrays and nested objects. Useful for .NET/Unity. Everything in your browser.
BBCode to HTML
Convert BBCode (from forums like phpBB and vBulletin) to HTML: [b], [i], [u], [url], [img], [quote], [code], [list]. Everything in your browser.
Ordinal Number Converter
Convert cardinal numbers to ordinals — in Portuguese ("1º", "primeiro") and English ("1st", "first"). Everything in your browser.
Emoji Shortcode Converter
Convert between shortcodes (`:smile:`, `:heart:`, `:rocket:`) and Unicode emojis (😄 ❤️ 🚀). Both directions, covering the most-used Slack, Discord and GitHub shortcodes. Everything in your browser.
RGB ⇄ CMYK Converter
Convert colors between RGB (0-255) and CMYK (0-100%). Includes K = 1 − max(R,G,B)/255 and converts in both directions. Everything in your browser.
Feet/Inches ⇄ Meters
Convert between feet/inches (5'10") and meters (1.78 m). Supports combined input and configurable rounding. Everything in your browser.
Force and Pressure Converter
Convert between Newton, kgf, lbf (force) and Pascal, bar, psi, atm, mmHg, mca (pressure). Everything in your browser.
Watts ⇄ Horsepower (HP/CV)
Convert power between Watts, kW, HP (mechanical, metric) and CV. 1 CV ≈ 735.5 W; 1 HP ≈ 745.7 W. Everything in your browser.
cURL to fetch()
Paste a cURL command and generate the JavaScript fetch() equivalent. Supports -X, -H, -d, --data-raw, querystring and cookies. Everything in your browser.
cURL to HTTPie
Paste a cURL command and generate the HTTPie equivalent (http/https) — clean syntax for the terminal. Everything in your browser.
JSON ⇄ Query String Converter
Convert a flat JSON object to a query string (?a=1&b=2) and vice versa. Supports a[]=1&a[]=2 array style. Everything in your browser.
JSON to FormData
Convert a JSON object into JavaScript code that builds a FormData (multipart/form-data) — ready to send via fetch(). Everything in your browser.
JSON to Kotlin Data Class
Convert JSON to a Kotlin data class with inferred types. Supports nested classes and List<T>. Useful for Android projects. Everything in your browser.
JSON to Swift Struct
Convert JSON to a Codable Swift struct. Supports primitive types, arrays and nested structs. Useful for iOS projects. Everything in your browser.
JSON to Python (dataclass)
Convert JSON to a Python dataclass with type hints. Supports List, Optional and nested classes. Everything in your browser.
Arabic Numerals Converter
Convert between Western digits (0-9) and Eastern Arabic (٠-٩) or Persian (۰-۹). Useful for internationalization. Everything in your browser.
JSON to Rust struct
Paste JSON and get Rust structs with Serialize/Deserialize derives (serde). Types inferred automatically.
JSON to Dart class
Convert JSON into Dart classes with fromJson/toJson and null-safe types. Useful for Flutter.
JSON to Ruby class
Convert JSON into a simple Ruby class with attr_accessor and a constructor that takes a hash.
JSON to Zod schema
Generate a Zod schema (TypeScript) from a JSON sample, inferring primitives, arrays and nested objects.
JSON to Yup schema
Build a Yup schema from JSON, with string/number/boolean/array/object types inferred from the example.
JSON to JSON Schema
Infer a JSON Schema (Draft 2020-12) from a sample JSON, listing required, type and properties.
JSON to Mongoose Schema
Generate a Mongoose Schema (Node.js) from JSON, inferring types and marking fields as required.
JSON to MySQL CREATE TABLE
Convert a JSON array into a MySQL CREATE TABLE, inferring VARCHAR, INT, DECIMAL, DATETIME from samples.
JSON to .proto
Generate a Protocol Buffers (proto3) definition from JSON, with sequential field numbering.
JSON Schema to TypeScript
Paste a JSON Schema and receive matching TypeScript interfaces (objects, arrays, enums).
cURL to Postman Collection
Convert a cURL command into a Postman Collection v2.1 (JSON) ready to import. Supports -H, -d, --data-urlencode and -X.
cURL to PHP
Convert a cURL command into PHP code (curl_init / curl_setopt_array). Headers, body and method preserved.
cURL to Python requests
Convert a cURL command into Python code using the requests library, with headers, params, json and auth.
HAR to cURL list
Paste a HAR (HTTP Archive) file and receive one cURL per request. Useful to replay DevTools traffic.
HAR to Postman Collection
Convert a HAR (DevTools) into a Postman Collection v2.1 with all requests grouped by host.
Pressure Converter
Convert pressure between Pa, kPa, bar, psi and atm.
Energy Converter
Convert energy between Joule, calorie, kcal, kWh and electron-volt (eV).
Frequency Converter
Convert frequency between Hz, kHz, MHz, GHz and THz.
Julian Day Converter
Convert a Gregorian date into a Julian Day Number (astronomy standard).
YAML ↔ TOML Converter
Convert between YAML and TOML via intermediate JSON.
CSV ↔ TSV Converter
Convert between CSV and TSV preserving quoted fields.
CSV → YAML Converter
Convert CSV (with header) into a YAML list of objects.
CSV → HTML Table
Generate HTML table (thead/tbody) from CSV with header.
CSV → SQL INSERT
Generate SQL INSERT statements from CSV with header (single-quote escaping).
CSV → XML
Convert CSV (with header) into XML — header columns become tag names.
Base91 Converter
Encode and decode Base91 — a more compact text encoding (~23% smaller than Base64).
Base85 (ASCII85) Converter
Encode and decode Base85/ASCII85 used in PDF and PostScript.
ROT18 Converter (ROT13 + ROT5)
Apply ROT13 to letters and ROT5 to digits. Symmetric — apply twice to recover.
SVG → JSX Converter
Convert SVG to JSX, normalizing kebab-case attributes to camelCase.
HTML → BBCode Converter
Convert basic HTML tags into BBCode for forum posts.
Engineering Notation Converter
Convert a decimal number to engineering notation (exponents in multiples of 3) — used in electronics, physics and engineering. Also shows scientific notation.
Scientific Notation Converter
Convert between decimal and scientific notation (mantissa × 10^exponent). Accepts both input formats and shows both results.
Markdown ⇄ CSV Table Converter
Convert Markdown tables (| col1 | col2 |) to CSV and back. Auto-detects header and separators.
CSV → JSON Lines (NDJSON) Converter
Convert CSV to NDJSON / JSON Lines — each row is a standalone JSON object. Heavily used in logs, big data and streams.
JSON Array ⇄ JSON Lines Converter
Convert a JSON array into JSON Lines (NDJSON) — one line per object, no commas or brackets. For piping with jq, Spark and Splunk.
CSS Color Name Converter
Convert CSS color names (red, dodgerblue, rebeccapurple) into HEX, RGB and HSL values. 147 official named colors.
Rainfall (mm ⇄ L/m²) Converter
Convert rainfall between millimeters (mm) and liters per square meter (L/m²) — equivalent (1 mm = 1 L/m²) and total volume for an area.
Degree / Radian / Gon Converter
Convert angles between degrees (°), radians (rad) and gons (1/400 of a full turn). For surveying, navigation and science.
mph ⇄ km/h Converter
Convert speed between mph, km/h, m/s and knots.
Knots Nautical Converter
Convert knots to km/h, m/s, mph. For maritime navigation and aviation.
Speed Multi-unit Converter
Convert speed across m/s, km/h, mph, knots and Mach.
Length Multi-unit Converter
Convert length across mm, cm, m, km, in, ft, yd, mile and nautical mile.
Mass Multi-unit Converter
Convert mass across mg, g, kg, t, oz, lb and stone.
Volume Multi-unit Converter
Convert volume across mL, L, m³, fl oz, cup, pint, quart, gallon.
Area Multi-unit Converter
Convert area across cm², m², km², hectare, acre, ft², mile².
Time Multi-unit Converter
Convert time across ms, s, min, h, day, week, month (30d) and year (365.25d).
Illuminance Converter (lux/footcandle)
Convert illuminance between lux and foot-candle.
Flow Rate Converter
Convert volumetric flow rate across L/s, L/min, m³/h, gpm.
Torque Converter
Convert torque across N·m, kgf·m and ft·lb.
Density Converter
Convert density across g/cm³, kg/m³, lb/ft³ and lb/in³.
Color from Temperature (Kelvin → RGB)
Approximate RGB color of a black body at given Kelvin temperature.
CSS Named Color ↔ Hex
Convert CSS named colors to hex and find nearest name for any hex.
Fraction ↔ Decimal Converter
Convert a fraction to decimal and decimal to reduced fraction.
BTC ↔ Satoshis Converter
Convert between BTC and satoshis. 1 BTC = 100,000,000 sats.
Pantone (approx.) ↔ Hex
Approximate Pantone Solid Coated → hex lookup (not a physical match substitute).
Lat/Lng → UTM Converter
Convert decimal lat/lng to UTM zone/easting/northing using WGS84.
Lat/Lng → MGRS (approx)
Approximate MGRS conversion using UTM zone + latitude band + easting/northing.
CMYK ↔ RGB Converter
Convert colors between CMYK and RGB.
Lab ↔ RGB Converter
Convert between CIE Lab (D65) and sRGB.
HSV ↔ RGB Converter
Convert between HSV and RGB.
BPM → ms (delay/reverb)
Convert BPM to note durations in ms (whole/half/quarter/eighth/sixteenth).
Piano Key → Frequency
Convert piano key number (1-88) to frequency in Hz with A4 = 440Hz reference.
Shoe Size Converter
Equivalence table for shoe sizes BR/EU/US (M/W)/UK.
Clothing Size Converter
BR PP-GG, EU 36-50, US XS-XXL clothing size equivalence.
Paper Size Converter
Show dimensions in mm and in for ISO A0-A10, B0-B5, US Letter/Legal/Tabloid/Executive.
Resolution ↔ Aspect Ratio
Compute aspect ratio from W×H, and given a height, compute width.
Bytes ↔ Bits Converter
Convert between bits/bytes/kbps/Mbps/KB/MB/GB.
Bytes IEC vs SI Converter (KiB vs KB)
Compare IEC binary prefixes (KiB=1024) vs SI decimal prefixes (KB=1000).
Gregorian → Hijri Date
Convert Gregorian to Hijri (Islamic) date using arithmetic algorithm.
Gregorian → Hebrew Date
Convert Gregorian to Hebrew date (simplified Reingold-Dershowitz).
Temperature Converter (Rankine)
Convert temperatures across Celsius, Fahrenheit, Kelvin and Rankine.
Acceleration Converter
Convert acceleration across m/s², ft/s², g (9.80665) and Gal (1 cm/s²).
Magnetic Field Converter (Tesla ↔ Gauss)
Convert magnetic field across Tesla, Gauss and milligauss.
Radiation Dose Converter
Convert ionizing radiation dose across Sv, mSv, Rem, Gray.
Cooking Volume Converter
Convert cooking volumes: cup (240ml), tbsp (15ml), tsp (5ml), mL, L.
Emoji ↔ Codepoint
Convert emoji to Unicode codepoint (U+1F600) and back. Supports ZWJ sequences.
ISO Code → Flag (Emoji)
Convert ISO 3166-1 alpha-2 codes (BR, US, FR) to regional flag emojis.
Decimal ↔ Binary (BigInt)
Convert between decimal and binary with BigInt support for very large numbers.
Hex ↔ Decimal (BigInt)
Convert hex ↔ decimal with BigInt for long hashes/addresses.
CSS vh ↔ px
Convert CSS vh (% of viewport height) ↔ px given viewport height.
CSS vw ↔ px
Convert CSS vw (% of viewport width) ↔ px given viewport width.
CSS em ↔ px
Convert CSS em ↔ px given base font size (default 16px).
CSS pt ↔ px
Convert pt ↔ px (1pt = 1.3333px @ 96dpi). Useful for PDF→web.
HSL ↔ RGB Converter
Convert between HSL and RGB color spaces.
China Clothing Size Converter
China clothing size labels (e.g., 160/84A) ↔ BR and EU equivalents.
Base16 (Hex) ↔ ASCII
Convert ASCII text to/from Base16 (hex). Useful for inspecting binary as string.
IBAN ↔ BBAN
Extract BBAN from IBAN or build IBAN from country + BBAN with mod-97 check digits.
Battery mAh ↔ Wh
Convert battery capacity between mAh and Wh given voltage. Useful for airline limits.
Watts ↔ Amperes
Convert between Watts and Amperes given voltage (W = V × A in DC).
CV ↔ HP ↔ kW
Convert mechanical power between metric CV, mechanical HP and kW.
Oil Barrel ↔ Gallon ↔ Liter
Convert oil volume across barrel (159 L), US gallon (3.785 L), UK gallon (4.546 L), liters.
Resistance ↔ Conductance
Convert between resistance (Ω) and conductance (S = 1/Ω).
Celsius ↔ Newton
Convert between Celsius and Newton temperature scale (°N = °C × 33/100).
Celsius ↔ Réaumur
Convert between Celsius and Réaumur (°Ré = °C × 4/5).
Celsius ↔ Rømer
Convert between Celsius and Rømer (°Rø = °C × 21/40 + 7.5).
Decimal Hours ↔ HH:MM:SS
Convert decimal hours ↔ HH:MM:SS for timesheets.
Troy Ounce ↔ Gram
Convert mass between troy ounce (ozt) and grams. 1 ozt = 31.1034768 g.
AWG ↔ mm²
Convert wire gauge between AWG and mm².
Binary ↔ Gray Code
Convert between binary and Gray code (adjacent values differ by 1 bit).
RPM ↔ Linear Speed
Convert RPM to linear speed (km/h or m/s) given wheel diameter.
Bluetooth Classes (Power)
Show Bluetooth class power and typical range.
Ether / Gwei / Wei Converter
Convert Ethereum values across ether, gwei (10⁻⁹), wei (10⁻¹⁸).
Spotify Key ↔ Camelot
Convert Spotify pitch class (0-11) + mode (0/1) to Camelot Wheel notation.
CMYK → Pantone (approx)
Estimate closest Pantone Solid Coated for a given CMYK color (~20 popular).
Font Size Table (px/rem/em/pt)
Show font size equivalence table (px/rem/em/pt) at base 16px.
Frequency ↔ Musical Note
Convert frequency to closest musical note + octave (A4 = 440Hz reference).
Star Trek Stardate ↔ Date
Convert Gregorian date ↔ Star Trek TNG stardate (simplified, 1 year = 1000 units from 2323).
Discordian Date Converter
Convert Gregorian date to Discordian/Erisian calendar (5 seasons of 73 days).
French Republican Calendar
Convert Gregorian to French Republican calendar (12×30 days + 5/6 sans-culottides).
Mayan Long Count Calendar
Convert Gregorian date to Mayan Long Count using GMT correlation 584283.
Decimal → DMS
Convert decimal coordinates to degree-minute-second (DMS) for maps/GPS.
DMS → Decimal
Convert DMS coordinates to decimal. Accepts N/S/E/W indicators.
CSS RGBA Converter
Convert color across rgba(), hex8 and named with alpha. Shows transparent preview.
Batch RGB → Hex
Convert multiple "R,G,B" lines to hex values. Useful for CSS color lists.
Marvel/DC Character ID Converter
Simple lookup of Marvel/DC character names to short codes (e.g. Spider-Man → SPDM).
DNA ⇄ RNA Converter
Convert DNA sequences (A, C, G, T) to RNA (A, C, G, U) and back. Supports complementary and reverse strands.
RNA to Amino Acid (Codon) Converter
Translate mRNA into amino acid sequence using the standard genetic code. Shows codons and one-letter codes.
Binary ⇄ ASCII Converter
Convert ASCII text to binary (8 bits per char) and back. Bytes space-separated for readability.
Number ⇄ Emoji Number Converter
Convert digit strings to emoji digits (0️⃣1️⃣...) and back. For visual passwords or fun codes.
Number to Circle (Unicode) Converter
Convert numbers to circled Unicode forms: ① ② ③ (1-50), ❶ ❷ ❸, etc. For stylized lists.
Fahrenheit ⇄ Rankine Converter
Convert between Fahrenheit (°F) and Rankine (°R) — Rankine is Kelvin scaled to Fahrenheit, with absolute zero at 0°R.
Pascal ⇄ Bar ⇄ atm ⇄ psi Converter
Convert between pressure units: Pascal (Pa), bar, atmosphere (atm), psi and Torr/mmHg. For engineering and meteorology.
CSV → TOML Converter
Convert CSV (with header) to TOML — one [[rows]] section per row. For structured configs in Rust, Cargo and modern tools.
TOML ⇄ YAML Converter
Convert TOML to YAML and back (common subset). For migrating configs between tools.
CSV → ARFF (Weka) Converter
Convert CSV to ARFF (Attribute-Relation File Format), used by Weka and data mining tools. Auto-detects numeric types.
GraphQL Schema → TypeScript Converter
Convert a GraphQL schema (SDL) into TypeScript interfaces. Covers type, enum and input — not resolvers or complex unions.
Protobuf → JSON Schema Converter
Convert simple protobuf messages to JSON Schema (draft-07). Covers basic types, optional, repeated and enums.
CSV to Excel/Sheets Clipboard Converter
Convert CSV to a TAB-separated paste-ready format for Excel/Google Sheets. Preserves multiline cells and quotes.
MD5 (hex) → Base64 Converter
Convert an MD5 hex hash (32 chars) to base64 (24 chars). For Content-MD5 HTTP header (RFC 1864) and Subresource Integrity.
UUID ⇄ Bytes Converter
Convert UUID between canonical (xxxx-xxxx-...) and byte array (16 octets in hex/decimal). For binary protocols.
Fractional Binary ⇄ Decimal Converter
Convert binary with fractional part (e.g., 101.011) to decimal and back. For computer arithmetic fundamentals.
Roman ⇄ Decimal Converter (advanced)
Convert Roman numerals (I, IV, XL, MCMXCIV) to decimal and back. Supports 1-3999 with canonical-form validation.
MAC Address Format Converter
Convert MAC addresses between formats: AA:BB:CC:DD:EE:FF (Unix), AA-BB-CC-DD-EE-FF (Windows), AABB.CCDD.EEFF (Cisco), and no-separator.
IPv4 ⇄ Binary Converter
Convert IPv4 (192.168.1.1) to binary (32 bits) and back. For understanding subnet masks.
Greek ⇄ Roman Numeral Converter
Convert ancient Greek numerals (αʹ, βʹ, γʹ — Ionic system) to Roman and back, for 1-999. Classical curiosity.
Pantone → Hex Converter (approximate)
Convert common Pantone Solid Coated codes (185 C, 286 C, etc.) to approximate HEX. 30 frequent colors only — not a substitute for official guides.
RAL → Hex Converter (Classic)
Convert RAL Classic codes (RAL 1000, RAL 5010, etc.) to HEX. Used in industrial paint and European architecture. ~100 colors.
NCS → Hex Converter (approximate)
Convert Natural Color System codes (S 1080-Y10R) to approximate HEX. 25 common colors based on official research.
Blood Type Compatibility Converter
Show which blood types can donate to and receive from a specific type (A+, B-, O+, AB-, etc.). Covers Rh.
Blood Group ABO + Rh Decomposer
Decompose a blood type (A+, B-, AB+, O-) into ABO group and Rh factor. Shows antigens/antibodies in plasma.
HSV ⇄ HSL Color Converter
Convert between HSV (Hue, Saturation, Value) and HSL (Hue, Saturation, Lightness) color models. For design and color tweaks.
CIE Lab ⇄ Hex Color Converter
Convert between CIE L*a*b* (perceptually uniform) and HEX. Uses D65 illuminant standard. Lab → XYZ → sRGB.
RGB → CMYK Converter (PDF mode)
Convert RGB to CMYK using a simple profile suitable for PDF/print. Shows each component in % and visual color.
Clothing Size Converter
Convert clothing sizes between BR, US, EU, UK, JP — women and men, shirts, pants, dresses. Approximation tables.
Shoe Size Converter
Convert shoe sizes between BR, US, UK, EU, JP. Men and women. Tables based on foot length in cm.
Ring Size Converter
Convert ring sizes between BR, US, UK, EU, JP. Use inner diameter or circumference in mm. Standard tables.
Decibel ⇄ Watt (Power) Converter
Convert between power in watts (W) and level in decibels (dBW, dBm). For pro audio, RF, telecoms.
Watt ⇄ CV ⇄ HP Converter
Convert power between watt (W), metric horsepower (CV) and mechanical horsepower (HP). For engines and machines.
Natural Relative Time Converter
Convert a date to natural relative text ("5 min ago", "yesterday", "in 3 days"). For feeds, comments, notifications.
Area to Tatami (Jō) Converter
Convert area in square meters to Japanese tatami (jō ≈ 1.65 m²). Used in traditional Japanese architecture for rooms.
Acre Area Converter
Convert between acres (US/UK), m², hectares, alqueires (BR), tareas (UY). Covers multiple agricultural/real estate units.
Hectare ⇄ Areas Converter
Convert hectares to other area units: m², km², acres, mi², soccer fields, tareas. For AGtech and GIS.
Earth ⇄ Mars Time (Sols) Converter
Convert Earth seconds to Mars seconds (sols). 1 sol = 24h 39min 35s. For space missions and sci-fi.
Julian ⇄ Gregorian Calendar Converter
Convert a date from Julian calendar (pre-1582) to Gregorian and back. For historical and religious dates.
Brazil Timezone Converter
Convert time between Brazil 4 timezones: UTC-2 (Atlantic), UTC-3 (official Brasília), UTC-4 (west), UTC-5 (Acre). Shows all 4 simultaneously.
Position ⇄ Array Index Converter
Convert between human position (1-based) and array index (0-based). Includes 2D matrix (row,col) ⇄ linear index.
Mixed Base Converter (any 2-36)
Convert a number from any base (2-36) to any other base. Also supports simple fractional numbers.
RGB → YUV (Luma + Chroma) Converter
Convert RGB to YUV (Y luminance, U/V chrominance) using ITU-R BT.601. Used in video compression (MPEG, H.264).
RGB → YIQ Converter
Convert RGB to YIQ (US NTSC TV). Y is luminance, I is hue, Q is saturation. For legacy TV compat.
RGB → XYZ Converter (CIE 1931)
Convert sRGB to CIE 1931 XYZ using D65 standard matrix. Foundation for Lab, Luv and other space conversions.
Color Temperature (Kelvin → RGB)
Convert color temperature in Kelvin (1000K-12000K) to approximate RGB. For light tones: candle (1900K), sun (5800K), blue sky (10000K).
Light-minute Distance Converter
Convert light-minute distances (8.3 min to Sun, 4.2 light-years to Proxima Centauri) to other astronomical and SI units.
Wine Bottle Sizes Converter
Convert ml to traditional wine bottle sizes: split, half, standard, magnum, jeroboam, nebuchadnezzar.
Beer Volume Converter
Convert beer volumes between ml, longneck (355ml), 600ml bottle, can (350ml), barrel (50L), keg (30L).
Coffee Volume Converter
Convert coffee portions between ml, cup (50ml), spoon (10ml), espresso (30ml), cappuccino (150ml).
Imperial Volume Converter (oz, pint)
Convert between ml and British/US imperial measurements: fluid ounce, pint, quart, gallon. Covers US-UK differences.
US Cup → Grams (by ingredient)
Convert US cup (240ml) to grams depending on ingredient: flour (120g), sugar (200g), butter (227g), rice (180g).
Tablespoon (Tbsp) Converter
Convert between Tbsp, tsp, ml and grams (for common ingredients). 1 Tbsp = 3 tsp = 15 ml.
Oven Temperature Converter
Convert recipe temperatures between °C and °F, with common terms: low, medium, high, broil. With UK gas mark.
Screen Size Converter (in ⇄ cm)
Convert screen diagonal size between inches and cm. Computes width/height for 16:9, 16:10, 4:3, 21:9 ratios.
Pixel ⇄ cm (DPI) Converter
Convert pixels to cm and mm given a specific DPI. For print (300 DPI) and screen (96 DPI). Shows reverse too.
Image Resolution (DPI) Converter
Compute max print size of an image in DPI: given pixels (W/H) and target DPI (75/150/300), show printed size in cm.
bps ⇄ packets/s Converter
Convert bit rate (bps) to packets/s given a packet size (bytes). For network traffic analysis.
JSX to HTML Converter
Converts JSX (React) syntax to plain HTML by mapping className to class and camelCase attributes to kebab-case.
HTML to JSX Converter
Converts HTML to JSX by renaming class to className, for to htmlFor and switching attributes to camelCase.
Pug to HTML Converter
Explains how to translate indentation-based Pug templates into standard HTML with side-by-side examples.
HTML to Pug Converter
Shows how to translate HTML into indentation-based Pug syntax with attribute and nesting examples.
HAML to HTML Converter
Explains HAML (Ruby template) syntax against HTML output with examples for tags, attributes and blocks.
HTML to HAML Converter
Shows how to translate HTML into HAML with indentation rules, attribute hashes and shorthand class/id syntax.
SCSS to CSS Converter
Strips simple SCSS features (variable declarations and // comments) producing an approximate CSS for inspection.
CSS to SCSS Converter
Adapts CSS to SCSS preserving rules and turning CSS custom properties into SCSS variables when detected.
SASS to CSS Converter
Explains the differences between indented SASS (.sass) syntax and CSS with side-by-side examples.
CSS to SASS Converter
Shows how to translate plain CSS to indented SASS by removing braces and semicolons.
LESS to CSS Converter
Strips LESS @variables and // comments producing approximate CSS suitable for visual checking.
CSS to LESS Converter
Converts CSS custom properties (--var) to LESS @variables while keeping the rest of the file intact.
Stylus to CSS Converter
Explains converting Stylus templates (optional braces/colons) into standard CSS with examples.
CSS to Stylus Converter
Shows how to drop braces and semicolons from CSS to produce concise Stylus code.
Jade to HTML Converter
Jade is the legacy name for Pug. This page shows how its indented syntax maps to HTML tags and attributes.
Twig to HTML Converter
Shows how Twig (Symfony) uses {{ }} for output and {% %} for blocks, paired with the rendered HTML.
Vue Template to HTML Converter
Explains how Vue directives (v-if, v-for, :prop) become plain HTML after the component renders.
Svelte Template to HTML Converter
Shows how Svelte blocks ({#if}, {#each}) and { } expressions compile down to plain HTML.
Angular Template to HTML Converter
Explains Angular directives (*ngIf, *ngFor, [attr], (event)) and how they produce rendered HTML.
Blade to HTML Converter
Shows how Blade (Laravel) directives map to the HTML produced after PHP rendering.
Mustache to HTML Converter
Shows how Mustache tags ({{var}}, {{#block}}) turn into HTML after substitution with data.
Handlebars to HTML Converter
Handlebars extends Mustache with helpers. This page shows how {{#each}} and {{#if}} render into HTML.
EJS to HTML Converter
Shows how EJS tags (<%= %>, <% %>) embed JavaScript inside the template and produce final HTML.
Liquid to HTML Converter
Liquid (Shopify/Jekyll) uses {{ var }} and {% tag %}. This page maps each construct to its rendered HTML.
ERB to HTML Converter
ERB (Ruby) embeds Ruby inside HTML via <% %> and <%= %>. This page shows rendered output examples.
Jinja to HTML Converter
Jinja2 (Python/Flask) uses {{ }} and {% %} like Twig. This page shows how blocks become rendered HTML.
Nunjucks to HTML Converter
Nunjucks (Mozilla) has a Jinja2-like syntax. This page shows how tags and filters yield HTML.
JSONP to JSON Converter
Strips the callback wrapper of a JSONP response leaving only the JSON contained inside the parentheses.
BSON to JSON (text) Converter
Explains differences between binary BSON and JSON with a type table and textual conversion examples.
CBOR to JSON (text) Converter
Explains CBOR (RFC 8949), its types and how to represent compact binary values in textual JSON.
MessagePack to JSON (text) Converter
Explains the MessagePack binary format, its advantages and how to translate it into textual JSON.
Avro to JSON (text) Converter
Explains Avro schemas, its binary serialization and how JSON can represent decoded Avro records.
TSV to CSV Converter
Converts TSV files (tab-separated) into CSV (comma-separated) properly escaping fields with commas or quotes.
CSV to NDJSON Converter
Converts CSV into NDJSON (one JSON object per line) using the first row as field names.
YAML to NDJSON Converter
Explains how to represent YAML lists as NDJSON (one JSON object per line) with practical examples.
Xícara → Gramas (Açúcar)
Converte xícara de açúcar refinado em gramas (1 xícara = 200 g).
Xícara → Gramas (Farinha)
Converte xícara de farinha de trigo em gramas (1 xícara = 120 g).
Xícara → Gramas (Arroz)
Converte xícara de arroz cru em gramas (1 xícara = 185 g).
Forno Gás 1-9 → °C
Converte temperatura de forno a gás (escala 1-9) para graus Celsius.
BPM → Delay (ms)
Converte BPM em delays musicais para 1/4, 1/8 e 1/16 (ms).
MIDI → Nota Musical
Converte número MIDI (0-127) em nota musical com oitava (ex: 60 = C4).
Nota Musical → MIDI
Converte nota musical (ex: A4) em número MIDI.
Diferença em Cents
Calcula a diferença em cents entre duas frequências: 1200·log₂(f₂/f₁).
BPM ↔ RPM
Converte BPM para RPM (rotações de toca-disco): RPM = BPM × 60 / 60 (igual numericamente quando 1:1).
Temperatura da Cor (Warm/Cool)
Classifica uma cor HEX como quente, fria ou neutra com base na matiz.
RGB ↔ CIELAB (aprox)
Converte cor RGB para CIELAB aproximado via XYZ D65.
Base45 (EU Cert)
Codifica string em Base45 (usado em certificados digitais EU).
Base58 (Bitcoin)
Codifica bytes em Base58 (alfabeto Bitcoin, sem 0OIl).
Base62 (Short URLs)
Codifica número decimal em Base62 (0-9, A-Z, a-z) — usado em short URLs.
Ascii85 (Adobe)
Codifica bytes em Ascii85 com delimitadores <~ ~>.
Z85 (ZeroMQ)
Codifica bytes em Z85 (alfabeto ZeroMQ, sem caracteres problemáticos).
Base91 Encode
Codifica string em Base91 (mais denso que Base64).
Quoted-Printable
Codifica string em Quoted-Printable (RFC 2045).
Punycode IDN
Converte domínio internacional (IDN) entre Unicode e Punycode usando URL nativa.
JSON → YAML
Converte JSON em YAML simples (sem libs).
YAML → JSON (simples)
Converte YAML simples (key: value, listas) em JSON.
JSON → TOML
Converte JSON simples em TOML básico (chaves de nível raiz).
JSON → Markdown Table
Converte array de objetos JSON em tabela Markdown.
JSON → HTML Table
Converte array de objetos JSON em tabela HTML.
Pinta → Litros
Converte pintas britânicas em litros (1 pint UK = 0.568 L).
Jardas → Metros
Converte jardas em metros (1 yd = 0.9144 m).
CV → Watts
Converte cavalo-vapor (PS métrico) em watts (1 CV = 735.5 W).
Bar → PSI
Converte bar em libras por polegada quadrada (1 bar = 14.5038 PSI).
km → Anos-luz
Converte km em anos-luz (1 al = 9.461×10¹² km).
Consumo L/100km → MPG
Converte consumo de litros por 100 km para milhas por galão (US): 235.215 / L100.
Consumo MPG → L/100km
Converte milhas por galão (US) para litros por 100 km: 235.215 / MPG.
Consumo km/L → L/100km
Converte quilômetros por litro para litros por 100 km: 100 / kmL.
Pressão Pneu PSI ↔ BAR
Converte pressão de pneu entre PSI e BAR (1 BAR = 14.5038 PSI).
Cilindrada cc ↔ L
Converte cilindrada entre centímetros cúbicos e litros (1 L = 1000 cc).
Cilindrada cc ↔ ci
Converte cilindrada entre cc (centímetros cúbicos) e ci (cubic inches): 1 ci = 16.3871 cc.
Torque Nm ↔ lb·ft
Converte torque entre Nm e lb·ft (1 lb·ft = 1.3558 Nm).
HP ↔ kW (motor)
Converte potência entre HP (mecânico) e kW: 1 HP = 0.7457 kW.
Conversor Moedas (Taxa Fixa)
Converte entre USD/EUR/BRL/GBP/JPY/CAD/AUD/CHF usando taxas fixas (referência: 2025).
Crop Factor por Sensor
Retorna crop factor relativo ao Full Frame: APS-C=1.5/1.6, MFT=2.0, 1"=2.7, Médio=0.79.
Luxímetro Lux → EV
Converte iluminância (lux) para EV @ ISO 100: EV = log2(lux/2.5).
Focal Equivalente 35 mm
Converte focal real para equivalente 35 mm: focal × crop factor.
Agulha Tricô US ↔ mm ↔ UK
Converte tamanho de agulha de tricô entre US, mm e UK (tabela padrão).
Margem de Costura cm ↔ pol
Converte margem de costura entre cm e polegadas (1 pol = 2.54 cm).
Andamento Italiano → BPM
Converte marcações italianas (Adagio, Andante, Allegro...) para BPM aproximado.
Converter CPM ↔ CPC ↔ CPL
Calcula CPC e CPL a partir de CPM, CTR e taxa de conversão. CPC = CPM/(CTR·10); CPL = CPC/conversão.
Converter MRR → ARR
Converte receita recorrente mensal em anual: MRR × 12. Útil para SaaS.
Pace por km a partir de km/h
Converte velocidade média (km/h) em ritmo (min/km).
Glicose Média → HbA1c (eAG)
Converte glicose média estimada (mg/dL) em HbA1c: A1C = (eAG + 46.7) / 28.7.
Conversor Códigos ISO País
Converte entre ISO-2, ISO-3 e código numérico para país.
ppm ↔ Molaridade
M = (ppm × densidade(g/mL)) / (MM × 1000). Diluído: densidade≈1.
Códon → Aminoácido
Traduz um códon de RNA (ex: AUG) em aminoácido.
Transcrição DNA → RNA
Substitui T por U na fita molde (sentido transcrito).
Fita complementar DNA
Gera fita complementar (A↔T, G↔C), mesma direção.
Reverso complementar DNA
Calcula o reverso complementar (5'→3').
Resistor 4 bandas → Ω
Decodifica resistor 4 bandas: 2 dígitos + multiplicador + tolerância.
Resistor 5 bandas → Ω
Decodifica resistor 5 bandas: 3 dígitos + multiplicador + tolerância.
Ohms → Cores Resistor
Converte um valor em Ω para cores 4-bandas.
AC pico ↔ RMS
Vrms = Vpeak / √2.
AC pico-a-pico ↔ RMS
Vrms = Vpp / (2√2).
dBSPL → Pa
Pa = 20µPa · 10^(dBSPL/20).
dBu → Volt RMS
V = 0.7746 · 10^(dBu/20).
dBV → Volt RMS
V = 1 · 10^(dBV/20).
Hz → Bark (banda crítica)
Bark = 13·arctan(0.00076·f) + 3.5·arctan((f/7500)²).
Phon → Sone (loudness)
Sone = 2^((phon-40)/10) para phon ≥ 40.
Tinta Galão para Litro com Custo
Converte galão (3,785 L) para litros e calcula custo por m².
Pluviômetro mm → Litros
Converte chuva em mm para litros captados em área: 1 mm × 1 m² = 1 L.
Idade do Cão em Anos Humanos
Converte idade canina em anos humanos via fórmula AVMA: 16·ln(idade)+31.
Idade do Gato em Anos Humanos
Converte idade felina: 1º ano = 15h, 2º = +9h, depois +4h por ano.
GPA US 4.0 a partir de Notas
Converte média 0-100 para GPA 4.0 (90+=4.0, 80=3.0, 70=2.0, 60=1.0).
GPA UK: Classificação
Classifica nota UK: 1st (≥70), 2:1 (60-69), 2:2 (50-59), 3rd (40-49), Fail (<40).
SAT 1600: Percentil
Estima percentil pelo SAT total (lookup aproximado: 1600=99+, 1500=98, 1400=94, 1200=75, 1000=40).
TOEFL: Banda iBT
Classifica banda CEFR a partir do TOEFL iBT (0-120).
IELTS: Conversão de Banda
Converte banda IELTS em CEFR aproximado.
Satoshis ↔ BTC
Converte entre satoshis (menor unidade) e BTC. 1 BTC = 100 milhões de satoshis.
Gwei ↔ ETH
Converte entre gwei e ETH. 1 ETH = 1 bilhão de gwei (10⁹). Útil para taxas de gas.
Gwei ↔ Wei
Converte entre gwei e wei. 1 gwei = 10⁹ wei (menor unidade do ETH).
BTC ↔ USD (taxa fixa)
Converte BTC para USD usando taxa fixa informada. Apenas exibição — não consulta cotação em tempo real.
ETH ↔ USD (taxa fixa)
Converte ETH para USD usando taxa fixa informada. Apenas exibição — não consulta cotação em tempo real.
CIDR para Wildcard Mask
Converte máscara CIDR (/n) para wildcard mask (usada em ACLs Cisco).
Parsec ↔ Anos-Luz
Converte entre parsec e anos-luz. 1 pc = 3,26156 anos-luz.
Fermento Fresco → Seco
Converte fermento biológico fresco em seco (×0.33) ou vice-versa.
Fermento Ativo → Instantâneo
Converte fermento seco ativo em instantâneo (×0.75) ou contrário.
Substituição de Forma de Bolo
Compara volumes de formas redondas/retangulares para substituição (πr²h vs L×W×h).
Manteiga ↔ Óleo
Converte manteiga em óleo (óleo = 75% da manteiga) ou contrário em receitas.
Substituto de Ovo
Mostra equivalentes de 1 ovo em receitas veganas (linhaça, maçã, banana, aquafaba).
Elétron-volt ↔ Joule
Converte eV em joule (1 eV = 1.602×10⁻¹⁹ J) e vice-versa.
VAT — Inclusivo ↔ Exclusivo
Converte valor entre VAT-inclusivo (bruto) e VAT-exclusivo (líquido) para qualquer alíquota.
CSS to Tailwind Converter
Map common CSS properties to equivalent Tailwind utility classes (display, padding, margin, color, font-size, border, etc).
Emoji HTML Code Generator
Show decimal and hexadecimal HTML entities for emojis (😀 / 😀). Useful for emails or raw HTML.
Emoji to Unicode
Convert emoji to Unicode code point (U+1F600), JavaScript escape (\u{1F600}) and UTF-8 bytes.
Binary ↔ Hexadecimal Converter
Convert numbers between binary and hexadecimal without going through decimal. Shows nibble (4-bit) grouping.
Octal ↔ Decimal Converter
Convert between base 8 (octal) and base 10 (decimal). Useful for Unix file permissions and DSP.
BCD ↔ Decimal Converter
Convert between Binary-Coded Decimal (each decimal digit becomes 4 bits) and standard decimal. Common in digital displays and calculators.
Gray Code ↔ Binary Converter
Convert between standard binary and Gray code (only 1 bit changes between consecutive numbers). Used in rotary encoders.
Seconds to HH:MM:SS
Convert a number of seconds (integer or decimal) to HH:MM:SS.mmm format. Useful for video, audio and time tracking.
Decimal Hours ↔ HH:MM
Convert decimal hours (1.75) to HH:MM (01:45) and vice versa. Useful for time sheets and hourly billing.
Degrees ↔ Radians (with table)
Convert angles between degrees and radians. Includes a table of common values (0, 30, 45, 60, 90, 180, 270, 360).
Degrees ↔ Gradians ↔ π rad
Convert between degrees (360°), gradians (400 gon) and radians as multiples of π. Useful in surveying and sciences.
CSS px ↔ rem Converter
Convert between pixels and rem with configurable root base (default 16px). Useful for accessible layouts.
CSS px ↔ em Converter
Convert between pixels and em relative to the parent context font-size (default 16px). Different from rem (always :root).
CSS vh ↔ vw Converter
Convert between vh, vw and pixels for a configurable viewport (default 1920×1080). Useful for responsive design.
BibTeX → RIS Converter
Convert BibTeX references to RIS format, the standard used by EndNote, Mendeley and Zotero. Supports @article, @book, @inproceedings.
BibTeX → EndNote (ENW)
Convert BibTeX to EndNote ENW format: %0, %A, %T, %J, %D, etc. Useful for reference managers.
BibTeX → CSL-JSON
Convert BibTeX to CSL-JSON (Citation Style Language). Modern format used by Zotero, Pandoc and citation processors.
DOI → BibTeX Generator
Enter a DOI (e.g., 10.1145/3372297.3417223) and format as a template BibTeX key (no external calls). Useful as a starting point.
DOI → APA Citation (manual)
Manually format an APA 7th edition citation with authors, year, title, journal and DOI. No external call.
DOI → MLA Citation (manual)
Manually format an MLA 9th edition citation with author, title, journal, volume, issue, pages, year and DOI.
ISBN → Book Citation (manual)
Format book citation in APA, MLA, Chicago and ABNT from manual fields: author, year, title, edition, publisher and ISBN.
CSV → HTML Table
Convert CSV into a semantic HTML table with <thead> and <tbody>, escaping special characters. Optional custom CSS class.
CSV ↔ PSV Converter
Convert CSV (comma-separated) files to PSV (pipe-separated |) and vice versa, with quote and newline handling.
CSV ↔ SSV Converter
Convert CSV (comma) to SSV (semicolon) and back. Useful for Excel in locales using ; as default separator.
CSV → JSON Lines
Convert CSV to JSONL (one JSON object per line). Common format in logs, ML pipelines and document databases.
JSON Lines → CSV
Convert JSONL (NDJSON) file to CSV, deriving headers from the union of all observed object keys.
CSV ↔ NDJSON
Two-way conversion between CSV and NDJSON (Newline Delimited JSON), preserving numeric types when detected.
TSV → Markdown Table
Convert TSV (tab-separated) to a GFM Markdown table with configurable alignment (left, center, right).
CSV → Org-mode Table
Convert CSV to an Emacs Org-mode table with | separators and default alignment. Easy to maintain in Emacs.
Markdown → AsciiDoc
Basic Markdown to AsciiDoc converter: headings (== ===), lists, inline code, code blocks --- and emphasis _italic_ *bold*.
Markdown → reStructuredText
Basic Markdown to RST converter: underlined headings (=== ---), lists, links and inline code. Useful for Sphinx.
Markdown → Org-mode
Basic Markdown to Org-mode converter: asterisk headings (* ** ***), lists, links and #+BEGIN_SRC code blocks.
Markdown → Textile
Basic Markdown to Textile converter: h1./h2./h3., *bold* _italic_, lists and links. Used in Redmine and old blog engines.
AsciiDoc → HTML (basic)
Render simple AsciiDoc to HTML: headings = == ===, paragraphs, lists, emphasis. Does not cover advanced extensions like includes.
reStructuredText → HTML (basic)
Render simple RST to HTML: underlined headings, lists, *italic*, **bold** and indented code blocks.
Org-mode → HTML (basic)
Render simple Org-mode to HTML: asterisk headings, lists, /italic/, *bold* and #+BEGIN_SRC blocks.
Rømer Temperature Converter
Convert between Rømer (°Rø) and Celsius/Fahrenheit/Kelvin. Scale created by Ole Rømer (1701): water freezes at 7.5 °Rø, boils at 60 °Rø.
Newton Temperature Converter
Convert between Newton (°N) and Celsius/Fahrenheit/Kelvin. Isaac Newton (1701): water freezes at 0 °N, boils at 33 °N.
Réaumur Temperature Converter
Convert between Réaumur (°Ré) and Celsius/Fahrenheit/Kelvin. Created in 1731: water freezes at 0 °Ré, boils at 80 °Ré. Used in Europe until the 19th century.
Bitrate to Size Converter
Calculate file size (MB/GB) from bitrate (kbps/Mbps) and duration (minutes). Useful for planning audio, video and podcast storage.
Video Size to Duration Converter
Calculate how many minutes fit in a size (MB/GB) given a specific bitrate. Inverse of bitrate→size conversion.
Parsec to KM
Converts distances between parsecs and kilometers (1 pc equals 3.085677581e13 km).
Beaufort to km/h
Converts Beaufort wind scale (0-12) to equivalent speed in km/h.
YAML to TOML Converter
Converts flat YAML (key: value, inline lists) to TOML preserving strings, numbers and booleans.
TOML to YAML Converter
Converts flat TOML (key = value) to YAML preserving strings, numbers and booleans.
INI to TOML Converter
Converts an INI file (with [section] headers and key=value) to TOML — close formats with minor adjustments.
TOML to INI Converter
Converts simple TOML (with [section] and key = value) to INI — strips quotes from strings.
YAML to INI Converter
Converts flat YAML to INI — no sections, each key becomes key=value.
INI to YAML Converter
Converts an INI file to YAML — each section becomes a nested map.
CSV to YAML List Converter
Converts CSV with header to a YAML list of objects — preserves basic numeric and boolean types.
YAML List to CSV Converter
Converts a YAML list of objects (-key: value) to CSV with a header derived from the keys.
.properties to YAML Converter
Converts a Java .properties file (key=value, key.sub=value) to nested YAML by dot path.
YAML to .properties Converter
Converts nested YAML to a Java .properties file — keys are joined by dot.
Decibel to Percent Volume
Converts dB attenuation into percent volume (0–100) using 10^(dB/20) for faders and mixers.
dBW to Watts
Converts a dBW level to watts via P=10^(dBW/10) — useful for PA, RF and amplifiers.
dB SPL to Pascals
Converts sound pressure level dB SPL to pascals via P=20µPa·10^(dB/20).
Study Hours to CEFR Level Converter
Converts accumulated study hours into the reached CEFR level (A1 to C2) using average pace for Portuguese native learners.
Pages to Translation Lauda Converter
Converts a number of pages into Brazilian sworn translation laudas (25 lines of 50 chars = 1250 chars) using an average chars per page.
Translation Laudas to Characters Converter
Converts a number of Brazilian sworn translation laudas (25 lines of 50 chars) to total characters with and without spaces for quotes.
Characters to Words Translation Converter
Converts total characters with spaces to an approximate word count (5.5 chars/word average) and to Brazilian sworn translation laudas.
Words to Aloud Reading Time Converter
Converts a word count to estimated aloud reading time (professional narrator, anchor or auctioneer) using calibrated WPM speeds.
BIP39 Mnemonic Entropy Converter
Computes bit entropy of a BIP39 seed from number of words (12, 15, 18, 21 or 24) with embedded checksum per spec.
Z80 Opcode Hex Binary Converter
Converts Zilog Z80 hexadecimal opcode to formatted 8 bit binary with high and low nibble separated for retrocomputing study.
MOS 6502 Opcode Converter
Converts MOS 6502 (NES, Apple II, C64) hexadecimal opcode to formatted 8 bit binary with approximate addressing mode.
Motorola 68000 Opcode Converter
Converts Motorola 68000 (Amiga, Atari ST, Sega Genesis) 16 bit opcode to formatted 4 nibble binary for retro code analysis.
PETSCII C64 ASCII Converter
Converts Commodore 64 PETSCII characters to equivalent ASCII codes when possible, flagging PETSCII only chars.
ZX Spectrum Charset Converter
Converts ZX Spectrum (Sinclair) charset codes to ASCII flagging BASIC tokens, graphic blocks and control codes that differ from standard.
Amstrad CPC Mode Bytes Converter
Computes VRAM bytes per line and total for Amstrad CPC modes 0, 1 and 2 showing resolution and simultaneous colors per mode.
BBC Micro Mode Resolution Converter
Shows resolution and simultaneous colors for each BBC Micro mode (0 to 7) with VRAM used per mode on the classic 8 bit Acorn.
Sega Saturn Color Mode Converter
Computes bytes per pixel and total VRAM used by a Sega Saturn background layer for 4 bit, 8 bit, 16 bit RGB555 and 24 bit color modes.
FPS Frames Seconds Converter
Converts duration in seconds to total number of frames given the frames per second rate selected for the video sequence.
Film Feet Perforations Converter
Converts 35mm film duration to feet and perforations using sixteen perforations per foot industry standard and four perforations per frame.
Frames Dropframe Timecode Converter
Converts total frames to SMPTE timecode in HH MM SS FF format applying drop frame rule for 29.97 frames per second.
OKLCH ↔ RGB Color Converter
Converts between OKLCH (CSS Color 4) and RGB with perceptual uniformity — modern and accurate.
OKLab ↔ RGB Color Converter
Converts between OKLab (perceptually uniform) and sRGB — basis for gradients without a gray dead zone.
SRT ↔ WebVTT Subtitle Converter
Converts subtitles between SRT (.srt) and WebVTT (.vtt) preserving timestamps and lines — useful for HTML5 video.
SRT ↔ ASS/SSA Subtitle Converter
Converts SRT subtitles to Advanced SubStation Alpha (.ass) and back, preserving text and times.
BBCode ↔ HTML Converter
Converts forum BBCode ([b], [url], [img], [quote]) to HTML and back — handy for migrating forum content.
Markdown ↔ BBCode Converter
Converts text between Markdown and BBCode preserving bold, italic, links and lists — useful for forums/Discord.
CSV ↔ JSONL Converter
Converts CSV to JSON Lines (one JSON record per line) and back — a common format in data pipelines.
Graphviz DOT → Mermaid Converter
Converts a simple DOT (Graphviz) graph into Mermaid flowchart syntax — handy for docs.
Markdown Table ↔ CSV Converter
Converts Markdown tables to CSV preserving alignment and back to Markdown.
Musical Key ↔ Camelot Wheel Converter
Converts musical keys (C major, A minor…) into Camelot notation (8B, 8A) used by DJs for harmonic mixing.
TeX Symbols ↔ Unicode Converter
Converts TeX/LaTeX commands (\alpha, \sum, \to) into their Unicode equivalents (α, ∑, →) and back.
3D Slicer Color Converter
Converts a hex color into the syntax expected by 3D slicers (PrusaSlicer, Cura, Bambu) for color_print fields.
Old Portuguese/Brazilian Units Converter
Converts old Portuguese units (alqueire, légua, vara, palmo, libra) into the current metric system.
Alqueire by Brazilian State Converter
Converts between alqueires (Paulista, Mineiro, Baiano, do Norte) and hectares — varies a lot by region.
Rare Imperial Units Converter
Converts rare imperial units (rod, chain, furlong, league, hand, stone) into SI.
Egyptian Cubit Converter
Converts royal Egyptian cubit (52.5 cm), short cubit and palm to the metric system — historical use.
Rankine/Réaumur/Newton Temperature Converter
Converts temperatures between Rankine, Réaumur and Newton — historical scales rarely used today.
Pressure Converter (Torr/mmHg/atm)
Converts between Pa, kPa, bar, atm, mmHg, Torr, psi and mH₂O — complete for engineering and meteorology.
Energy Converter eV/J/kWh/cal
Converts between Joule, electron-volt (eV), kWh, BTU and calorie — useful in chemistry and physics.
Density ↔ Volume ↔ Mass Converter
Triple converter: given two of density, mass and volume, computes the third with configurable units.
Battery Size Equivalence
Shows equivalence between AAA/AA/C/D/9V and IEC/ANSI standards (LR03/LR6, R03/R6, 6F22 etc.).
Detailed Paper Sizes (A, B, C, ANSI, JIS)
Shows exact dimensions in mm and in for ISO A0-A10, B0-B10, C0-C10, ANSI A-E and JIS B0-B10.
SQL INSERT to CSV Converter
Paste INSERT INTO statements and extract values into CSV with header from column names — useful for migrating dumps.
RGB / Lab / XYZ Color Converter
Convert colors between RGB, CIE L*a*b* and XYZ for print design and accurate cross-monitor color matching.
Geohash ↔ Coordinates Converter
Convert latitude/longitude to Geohash with configurable precision (1-12 chars) and vice-versa, with cell explanation.
Plus Code (OLC) Converter
Convert lat/lng to Plus Codes (Google Maps codes) and vice-versa, with configurable precision from neighborhood to 14m.
BCD Packed/Unpacked ↔ Decimal Converter
Convert between Binary-Coded Decimal (packed/unpacked) and decimal — useful for microcontrollers, RTCs and legacy systems.
JSON ↔ XML Converter
Convert between JSON and XML preserving attributes via @attr and text via #text, with pretty-print of the resulting XML.
PNG/JPG to AVIF Converter
Convert PNG and JPG images to modern AVIF in the browser with quality control, preserving transparency and reducing size up to 50%.
HEIC to JPG/PNG Converter
Convert iPhone HEIC photos to JPG or PNG directly in the browser, no upload, keeping quality and optional EXIF.
PHP serialize() ↔ JSON Converter
Convert PHP serialize() strings to JSON and vice versa, understanding arrays, objects, strings and primitive types of PHP's native format.
Python dict ↔ JSON Converter
Convert Python dictionaries (with single quotes, True/False/None) to valid JSON and back, handling special types.
Ruby hash ↔ JSON Converter
Convert Ruby hashes (with :symbol => 'value' and shorthand syntax) to valid JSON and back, handling Ruby types.
JSON5 ↔ JSON Converter
Convert JSON5 (with comments, trailing commas and unquoted keys) to standard JSON and back, preserving the structure.
JSON ↔ Protobuf Text Format Converter
Convert between JSON and Protobuf Text Format (readable format used in Google APIs and configs), preserving basic types.
CSV → GraphQL Schema Converter
Generate GraphQL type definitions from CSV, inferring types (String, Int, Float, Boolean) from the first N rows.
MAC to IPv6 EUI-64 Converter
Build an IPv6 link-local address (fe80::) from a MAC address via Modified EUI-64, per RFC 4291.
Seconds to ISO 8601 Duration Converter
Convert a number of seconds (or minutes) into an ISO 8601 duration (PT1H30M, P1DT2H) — useful for APIs and calendars.
YAML Anchor/Alias Flattener
Expand YAML aliases (*ref) and anchors (&id) by replacing them with literal values, producing standalone flattened YAML.
Text to Data URI Base64 Converter
Convert plain text into a data:text/plain;base64,... Data URI ready to paste in CSS, HTML or for download via JS.
ASN.1 DER/BER Decoder
Paste hex or base64 bytes of an ASN.1 DER/BER structure and view the decoded tag tree — useful for X.509 certs.
SSL/TLS Certificate Decoder (PEM)
Paste a PEM certificate and view subject, issuer, validity, SAN, fingerprint and chain — without uploading the file.
CSR Decoder (PKCS#10)
Paste a Certificate Signing Request in PEM and view fields: CN, organization, SANs, public key algorithm and validity.
JWK ↔ PEM Converter
Convert cryptographic keys between JWK (JSON Web Key) and PEM (PKCS#8/SPKI) for RSA, EC and Ed25519 client-side.
Unix Cron → AWS EventBridge Converter
Convert standard Unix cron (5 fields) to AWS EventBridge/CloudWatch syntax (6 fields with year and ?), fixing day/week.
MGRS ↔ Lat/Lng Converter (precise)
Convert MGRS (Military Grid Reference System) coordinates to latitude/longitude and vice versa, with configurable precision.
GeoJSON Validator and Viewer
Paste GeoJSON, validate against RFC 7946, pretty-print and view feature counts, types and bbox. 100% client-side.
WKT ↔ GeoJSON Converter
Convert between Well-Known Text (POINT, LINESTRING, POLYGON) and GeoJSON Feature/Geometry. Collections and Z-coordinates supported.
GPX → GeoJSON Converter
Convert GPX files (tracks, waypoints, routes) into a GeoJSON FeatureCollection for modern map analysis. No upload.
SVG → PNG Rasterizer
Rasterize SVG to PNG with custom size and transparent background. Useful for Open Graph, favicons and website exports.
IPv6 → ip6.arpa Converter
Generate the reverse `ip6.arpa` nibble-format name for any IPv6 address, ready for DNS PTR zones.
IPv4 Dec/Bin/Hex/Octal Converter
Convert an IPv4 address between four bases (dotted decimal, binary, hex, octal) with per-octet breakdown. Accepts 32-bit integer.
XLSX to JSON Converter
Import Excel .xlsx files and convert each sheet into structured JSON rows. Automatic type detection.
HTML to Markdown Converter
Paste HTML and generate Markdown (CommonMark / GFM) with support for tables, nested lists, syntax-highlighted code and links.
YAML ↔ Properties Converter
Convert nested YAML files to Java .properties dot-notation (Spring Boot compatible) and back.
SVG → React Native Converter
Paste SVG and generate React Native components using react-native-svg (Svg, Path, Circle), with props and optional TypeScript.
CSV → SQLite Converter
Import a CSV and generate a downloadable SQLite (.db) database with the table created and populated. All in-browser via WASM.
BIND Zone File Builder
Build a complete BIND zone file with SOA, NS, A, AAAA, MX, TXT, CNAME from a visual form and export.
Base36 Bidirectional Converter
Convert decimal numbers and strings to Base36 (0-9, a-z) — useful for URL shorteners and short IDs.
KML ↔ GeoJSON Converter
Convert Google Earth KML files to GeoJSON and vice versa, preserving coordinates, names and properties.
Gregorian / Julian Date Converter
Convert dates between the Gregorian and old Julian calendars, showing day difference and proleptic mode.
Julian Day / Date Converter
Convert a Julian Day Number (JDN) or Julian Date (JD with fraction) into a Gregorian/UTC date, and vice versa.
IPv6 / Binary Converter
Show every one of the 128 bits of an IPv6 address and convert from binary back to hex and canonical form.
PEM / DER Certificate Converter
Convert X.509 certificates between PEM (base64) and DER (binary hex view) format, with type detection.
Subtitle Converter SRT/VTT/ASS/SUB
Bidirectional converter between SRT, WebVTT, MicroDVD SUB and SubStation Alpha (ASS) preserving timing and basic formatting.
Feed Converter RSS/Atom/JSON Feed
Bidirectional converter between RSS 2.0, Atom 1.0 and JSON Feed 1.1 preserving entries, links, author and enclosures.
HTML <-> BBCode Converter
Bidirectional HTML <-> BBCode converter ([b][i][url=]) useful for forum software, with tag whitelist.
.properties <-> YAML Converter
Convert .properties (Java/Spring) <-> nested YAML by dot-notation (a.b.c=1 becomes a: { b: { c: 1 } }).
HAR -> OpenAPI 3.0 Converter
Generate an initial OpenAPI 3.0 from a DevTools-exported HAR: extracts paths, methods, headers, and bodies.
CNAB 240 -> CSV Converter
Convert Brazilian CNAB 240 bank return file to readable CSV, decoding segments and occurrence codes.
SRT/VTT CPS Checker
Calculates characters per second (CPS) of each SRT and WebVTT subtitle line highlighting entries above the recommended 17 CPS limit.
SRT Time Shifter
Advances or delays all SRT subtitles by N milliseconds or seconds, ideal to sync desynchronized subtitles with video.
UTM Coordinates Batch Converter (CSV)
Converts list of decimal geographic coordinates to UTM zone+northing/easting in bulk via CSV, returning resulting CSV file.
PGN to FEN Position Extractor
Paste a chess game in PGN format and choose a move number to extract the equivalent FEN position at that point of the game.
Base91 Encode/Decode Converter
Encodes and decodes data in Base91, a more efficient encoding than Base64 used in serial communication and niche applications.
Glob to Regex Converter (Multi-Flavor)
Converts glob to regex in multiple flavors: JavaScript, Python, Java, Go, PCRE, with options for case-sensitive and dot-match-all.
CSV Transpose (Rows / Columns)
Transposes CSV rows and columns swapping axes, useful to reorganize narrow into wide spreadsheets.
UTF-16 LE / BE Converter
Converts UTF-16 hex bytes between little-endian and big-endian by swapping the byte order of each code unit.
CSV Wide to Long Converter (Melt)
Converts wide CSV (one row per entity) into long format (one row per variable), similar to pandas melt.
OFX to CSV Bank Statement Converter
Parses OFX/QFX banking files and exports transactions as CSV with date, description, amount and type.
HTML Table to CSV Converter
Paste HTML with tables and extract each table as CSV while preserving colspan/rowspan as repeated cells.
CSV to Wikitext Table Converter
Converts CSV into MediaWiki/Wikipedia table syntax with header row and optional classes.
CSV to Android strings.xml
Convert CSV spreadsheets (key, locale, value) into Android strings.xml files for multiple languages with plurals support and XML escaping.
CSV to iOS Localizable.strings
Generate iOS Localizable.strings (UTF-16 LE) and stringsdict files from CSV spreadsheets with keys and translations per language.
CSV to Flutter ARB Converter
Transform CSV spreadsheets into Flutter ARB (Application Resource Bundle) files for internationalization with ICU placeholder metadata.
Gettext PO and CSV Converter
Convert gettext .po files (msgid, msgstr, fuzzy, plural) to editable CSV and back, preserving context and comments.
XLIFF to CSV Converter
Parse XLIFF 1.2 and 2.0 files (XML Localization Interchange) extracting trans-units to editable CSV with source/target/state.
Fluent FTL and JSON Converter
Convert Mozilla Project Fluent (.ftl) files to JSON and back, preserving selectors, attributes and references.
LaTeX to MathML Converter
Convert LaTeX formulas to MathML ready to paste in HTML5 with no KaTeX/MathJax dependency, supporting common operators and fractions.
MathML to AsciiMath Converter
Transform MathML to AsciiMath notation, easy to type for forums and Markdown math.
LaTeX to Unicode Math
Replace LaTeX commands (\alpha, \sum, \to, \mathbb{R}) with their mathematical Unicode characters.
IPA ↔ X-SAMPA Converter
Convert IPA transcriptions to X-SAMPA (ASCII-only) and vice versa, useful for systems that don't support phonetic Unicode.
BibTeX to CSL-JSON Converter
Convert BibTeX (.bib) entries to CSL-JSON (Citation Style Language) used by Zotero, Pandoc, and modern processors.
ISO-8859-1 ↔ UTF-8 Converter
Convert text between ISO-8859-1 (Latin-1) and UTF-8 by detecting mojibake (é, ç, Â) and offering automatic correction.
LaTeX Equation to Image
Render LaTeX equations as transparent PNG image, ready for Slack, Notion or docs. Supports MathJax/KaTeX.
LaTeX direct to AsciiMath
Paste MathML or LaTeX and get clean AsciiMath, without needing intermediate MathML. Ideal for Markdown.
SMILES to Molecular Formula Converter
Enter a SMILES notation and get the raw molecular formula (e.g., C2H6O for ethanol) and approximate molar mass.
UTM ↔ MGRS Bidirectional Converter
Convert between UTM coordinates and MGRS (Military Grid Reference System) both ways, with configurable precision.
OKLCH ↔ RGB/HSL Color Converter
Convert colors in perceptual OKLCH space (CSS Color 4) to RGB, HSL and Hex. Visualize gamut and sRGB fallback.
SVG to React Component (JSX) Converter
Paste an SVG and get a React component (.jsx or .tsx) with props (color, size), camelCase attributes and forwarded ref.
EIA-96 Resistor SMD Decoder
Decodes EIA-96 SMD resistor codes (e.g. 39D = 249kΩ) using the 96-value table + letter multipliers. Useful for electronics repair.
SMD Capacitor Code Decoder
Decodes numeric SMD capacitor codes (e.g. 104 = 100 nF) and EIA letter codes. Computes capacitance in pF/nF/µF.
Climbing Grade UIAA to British Trad Converter
Convert between UIAA system (I-XII) and British trad adjectival grades (Mod, Diff, VS, HVS, E1-E11). Covers traditional climbing.
Board Feet, Cubic Feet and Liters Converter
Convert board feet to cubic feet to cubic meters to liters. Supports multiple boards and species density to estimate weight.
Coffee TDS to Extraction Yield Converter
From TDS (refractometer), dose mass and beverage weight, computes extraction yield (target 18-22%) and strength in mg/ml.
Date to ISO Week and Fiscal Quarter Converter
Given a date, convert to ISO week and customizable fiscal quarter (start month 1-12). Includes fiscal year number.
Base32-hex (RFC 4648 §7) Encoder/Decoder
Encode and decode strings using the Base32-hex alphabet (0-9, A-V) — RFC 4648 §7 variant used in DNS NSEC3 and sortable identifiers.
TSV ⇄ JSON Converter
Converts a TSV (tab-separated values) table to a JSON array of objects and vice versa. Preserves basic types (number, boolean, null) with a toggle.
Douglas Sea State Scale
Convert significant wave height (m) to a Douglas degree 0–9 (calm → phenomenal) with descriptor and full reference table.
Kelvin to RGB (Blackbody) Converter
Converts color temperature in Kelvin (1000K-40000K) to approximate RGB (Tanner Helland) — useful for stage lighting.
HWB and RGB Converter
Converts HWB color (Hue/Whiteness/Blackness — CSS4) to RGB and back, an intuitive paint-mix model.
JSON to XML Converter (with @ attributes)
Converts JSON to XML preserving arrays as repeated elements and supporting attributes prefixed with @.
CSV/TSV/PSV Batch Converter
Auto-detects delimiter (CSV/TSV/PSV/custom) and converts between them preserving quotes and newlines.
JSON Schema → TypeScript Types
Convert a JSON Schema (Draft 7/2020-12) to TypeScript definitions (interface/type) recursively — objects, arrays, enums, oneOf as union, internal $ref. Output ready to paste into a .d.ts.
HOCON ↔ JSON Converter
Convert HOCON (Human-Optimized Config Object Notation used by Akka/Play) to JSON and back. Supports dot-path includes, null fallback and nested objects via dot-notation.
Two's Complement Converter (8/16/32/64-bit)
Convert between signed decimal, binary and hex using two's complement representation for 8, 16, 32 and 64-bit widths. Shows step-by-step of negation (invert bits + 1).
DMS↔Decimal Coordinates Batch Converter
Paste a list of (lat,lon) coordinates per line — in decimal (-23.55) or DMS (23°33'00"S) — and convert all to both formats. Detects hemisphere, validates bounds (lat ±90, lon ±180) and reports errors per line.
Color Temperature (CCT Kelvin → RGB) Converter
Convert correlated color temperature (CCT) in Kelvin to sRGB and hex using Tanner Helland's approximation. Supports 1000K–40000K, with presets (candle 1900K, tungsten 2700K, halogen 3200K, daylight 6500K, blue sky 10000K). Also shows mireds.
JSON to .properties (Java)
Convert a JSON object into a Java .properties file, flattening nested objects with dot notation (db.host=localhost) and arrays with indices (list.0=a). Ready to paste into application.properties.
.properties (Java) to JSON
Convert a Java .properties file into JSON, rebuilding nested objects from dotted keys (db.host becomes {db:{host:…}}). Ignores comments (# and !) and blank lines.
Polyline Encoder (Google Maps)
Encode a list of (lat,lng) coordinates into Google Maps' Encoded Polyline Algorithm format and decode polylines back into coordinates. Used by routing, Directions and map APIs.
Excel Serial Date Converter
Convert an Excel serial date number (e.g. 44197) to a calendar date and back, honoring Excel's 1900 date system (including the historical 1900 leap-year bug). Useful for cleaning exported spreadsheets.
Continued Fraction Converter
Convert a decimal number into its continued fraction expansion [a0; a1, a2, …] and show the convergents (best rational approximations). Used in number theory and to approximate constants like π, e and √2.
Infix to Postfix (RPN) Converter
Convert an infix math expression (e.g. 3 + 4 × 2) into postfix / reverse Polish notation (RPN) using Dijkstra's shunting-yard algorithm, and evaluate the result. Supports + − × ÷ ^ and parentheses.
Zeckendorf Representation Converter
Convert a positive integer into its Zeckendorf representation — the unique sum of non-consecutive Fibonacci numbers — and show the terms used. It is the theoretical basis of Fibonacci codes.
Negabinary (base −2) Converter
Convert decimal numbers to base −2 (negabinary), which represents positive and negative integers with no sign bit, and convert back to decimal. A curiosity of positional numeral systems.
RGB565 Color Converter
Convert a 24-bit RGB color (#RRGGBB) into the 16-bit RGB565 format used by embedded displays (TFT, OLED, Arduino) and back, showing the value in hexadecimal (0x…) and decimal.
Compass Bearing Converter
Convert a bearing in degrees (0–360°) into its cardinal direction (N, NNE, NE, … on a 16-point rose) and back. Useful in navigation, weather, drones and GPS.
Excel Column Converter (Letter ↔ Number)
Convert a spreadsheet column letter (A, B, …, Z, AA, AB, …) into its index number (1, 2, …, 27, …) and back, using Excel and Google Sheets' bijective base-26 system.
RGB to ANSI 256 Color Converter
Convert an RGB color (#RRGGBB) into the nearest code of the 256-color ANSI palette used by terminals, and show the shell escape code. Useful for colored prompts, logs and TUIs.
Opacity to Hex Alpha Converter
Convert an opacity percentage (0–100%) into the hexadecimal alpha-channel byte (00–FF) used in 8-digit CSS colors (#RRGGBBAA) and back, showing the equivalence.
A1 ↔ R1C1 Reference Converter
Convert an A1-style cell reference (e.g. B3, AA10) into R1C1 style (e.g. R3C2) used in spreadsheets and macros, and back. Handy when writing formulas, VBA and Google Apps Script.
Balanced Ternary Converter
Convert decimal numbers to balanced ternary (digits −1, 0, +1 written as T, 0, 1) and back. Used in the historical Setun computer and some algorithms. Also shows standard ternary.
Factorial Base (Factoradic) Converter
Convert a decimal number to the factorial number system (factoradic), where position i is worth i!, and back. It is the basis of Lehmer's algorithm for enumerating permutations. Shows digits per position.
Egyptian Fraction Converter
Convert a proper fraction (e.g. 3/4) into a sum of distinct unit fractions (1/2 + 1/4) using Fibonacci's greedy algorithm. Egyptian fractions were how Ancient Egypt represented fractions.
Capacitor Code Converter
Convert the 3-digit code printed on ceramic capacitors (e.g. 104) into capacitance in picofarads, nanofarads and microfarads, and back. Essential for electronics and prototyping.
Fixed-Point (Q Notation) Converter
Convert floating-point numbers into fixed-point Q notation (e.g. Q8.8, Q15) used in DSP and embedded systems, and back. Shows the stored integer and the reconstructed value.
Polar ↔ Cartesian Coordinate Converter
Convert polar coordinates (radius r and angle θ) into Cartesian coordinates (x, y) and back, in 2D, with the angle in degrees or radians. Useful in physics, graphics and robotics.
Decibel to Ratio Converter
Convert a decibel (dB) value into the corresponding power and amplitude ratio, and back. Reminder: +3 dB ≈ double the power and +6 dB ≈ double the amplitude. Used in audio, RF and electronics.
CSS Short ↔ Long Hex Converter
Expand 3-digit CSS hex colors (#f80) to 6 digits (#ff8800) and collapse them back when possible. Also handles the 4/8-digit alpha form (#f80a ↔ #ff8800aa).
Android Color (int ↔ hex) Converter
Convert an Android color integer (ARGB, e.g. −16777216 or 0xFF000000) to #AARRGGBB hex and back. Useful when debugging themes, resources and Kotlin/Java code.
Indian Numbering (Lakh/Crore) Converter
Format a number with the Indian grouping system (12,34,567) and show its value in lakhs and crores. Used in India and South Asia, where 1 lakh = 100 thousand and 1 crore = 10 million.
Tally Marks Converter
Convert a number into tally marks grouped in fives and convert marks back into a number. Used for counting votes, game points and inventory by hand.
Wavelength ↔ Frequency Converter
Convert the wavelength of electromagnetic radiation (light, radio) to frequency and back, using the speed of light c ≈ 299,792,458 m/s. Enter meters and see Hz, MHz and GHz.
RGB ↔ YCbCr Color Converter
Convert colors between RGB (8-bit) and the YCbCr space used in JPEG and digital video (luma Y and chroma Cb, Cr), per ITU-R BT.601. Useful in image processing and compression.
Brix ↔ Gravity Converter
Convert degrees Brix (°Bx, sugar content) to the specific gravity of the must and back, using the standard brewers' and winemakers' formula. Useful for fermenting beer, wine and kombucha.
API Gravity (Petroleum) Converter
Convert an oil's API gravity (American Petroleum Institute) to its specific gravity at 60 °F and back. The higher the API number, the lighter the crude. Used in the oil and gas industry.
dBm ↔ Watts Converter
Convert power between dBm (decibels relative to 1 mW) and watts/milliwatts, and back. Essential in RF, Wi-Fi, fiber optics and telecom: 0 dBm = 1 mW, 30 dBm = 1 W.
Musical Note ↔ Frequency Converter
Convert a musical note name (e.g. A4, C#5) into its frequency in hertz and back, using A4 = 440 Hz and equal temperament. Shows the nearest note and the deviation in cents.
RGB Decimal (Web) Color Converter
Convert an RGB color represented as a single 24-bit decimal number (0 to 16,777,215) to #RRGGBB hex and back. Used in code-generated CSS, APIs and databases.
Angle Converter (turns, degrees, radians, gradians)
Convert an angle between turns (revolutions), degrees, radians and gradians (gons) at once. One full turn equals 360°, 2π radians or 400 gradians. Useful in math, engineering and graphics.
RGB ↔ HSI Color Converter
Convert colors between RGB and the HSI space (hue, saturation, intensity), widely used in image processing because it separates intensity from color information intuitively. Distinct from HSL and HSV.
Eastern Arabic Numerals Converter
Convert Western digits (0–9) into Eastern Arabic numerals (٠–٩) used in Arabic, Persian and Urdu, and back. It is a positional, digit-by-digit substitution.
Devanagari Numerals Converter
Convert Western digits (0–9) into Devanagari numerals (०–९) used in Hindi, Marathi, Nepali and Sanskrit, and back. Positional digit-by-digit substitution.
Maya Numerals Converter
Convert a decimal number into the Maya vigesimal (base-20) system, drawn with dots (1), bars (5) and the zero shell, stacked by position. Converts back to decimal too.
Soroban Abacus Representation
Show a number on the Japanese soroban abacus as ASCII art, with the heaven bead (value 5) and earth beads (value 1) of each decimal column. Helps to understand and teach abacus calculation.
Lumen ↔ Lux Converter
Convert luminous flux (lumens) to illuminance (lux) and back, given the lit area in square meters. Lux is lumen per square meter. Useful in lighting, photography and ergonomics.
Watt ↔ Lumen Converter
Convert electrical power (watts) to luminous flux (lumens) and back, using luminous efficacy in lm/W (default 80 for LED). Helps compare LED, fluorescent and incandescent bulbs.
Candela ↔ Lumen Converter
Convert luminous intensity (candelas) to luminous flux (lumens) and back, from the solid angle in steradians (the full sphere is 4π ≈ 12.57 sr). Used in lighting design and lasers.
Map Scale Converter
Convert distances between map and real world from the scale (e.g. 1:25,000): from centimeters on the map to real distance in meters and kilometers, and the reverse. Essential in cartography and hiking.
Model Scale Converter
Convert measurements between the real object and the miniature from the scale (e.g. 1:72, 1:35, 1:18): from real size in millimeters to model size, and back. For dioramas, kits and model railroading.
SMPTE Timecode ↔ Frames Converter
Convert an SMPTE timecode in HH:MM:SS:FF format into a total frame count and back, for a given frame rate (fps). Non-drop-frame mode. Essential in video and audio editing.
Spherical ↔ Cartesian Coordinate Converter
Convert 3D spherical coordinates (radius r, polar angle θ and azimuth φ) to Cartesian (x, y, z) and back, in the physics convention. Useful in physics, 3D graphics and robotics.
Cylindrical ↔ Cartesian Coordinate Converter
Convert 3D cylindrical coordinates (radius ρ, angle φ and height z) to Cartesian (x, y, z) and back. Common in electromagnetism, mechanics and modeling axially symmetric objects.
Basis Points (bps) ↔ Percent Converter
Convert between basis points (bps), percent (%) and per mille (‰). 1% equals 100 bps and 10‰. Widely used in finance, interest rates, spreads and fund management fees.
CIELab ↔ LCh Color Converter
Convert colors between the CIELab space (L, a, b) and its cylindrical CIELCh form (lightness L, chroma C and hue h). LCh is more intuitive for adjusting saturation and tone perceptually.
RGB Color (0–255 ↔ 0.0–1.0) Converter
Convert RGB colors between the byte range (0 to 255) and the normalized float range (0.0 to 1.0) used in shaders, OpenGL, Unity, Unreal and CSS color(). Includes the hex value.
RGB to Grayscale Converter
Convert an RGB color to grayscale by three methods: simple average, weighted luminosity (Rec. 601) and lightness (average of max and min). Shows the different results side by side.
sRGB ↔ Linear Color Converter
Apply and remove the sRGB gamma correction, converting each channel between sRGB (gamma-encoded) values and the linear values used in physically correct lighting and color blending.
RGB ↔ CMY Color Converter
Convert colors between the additive RGB model and the subtractive CMY model (cyan, magenta, yellow), via the simple relation C = 1 − R. The theoretical basis of printing; CMYK adds black.
Bit Depth ↔ Dynamic Range Converter
Compute the dynamic range (SNR) in decibels from audio bit depth (16-bit ≈ 98 dB, 24-bit ≈ 146 dB) and estimate the bits needed for a given dynamic range. Formula: 6.02 × bits + 1.76 dB.
Note ↔ Piano Key Converter
Convert a musical note name (e.g. A4, C#5) into its key number on an 88-key piano (A0 = key 1, C8 = key 88) and back. Useful for musicians and instrument programming.
Moles ↔ Grams Converter
Convert between amount of substance (moles) and mass (grams) given the molar mass (g/mol): mass = moles × molar mass. Essential in stoichiometry and chemistry calculations.
ISBN-10 ↔ ISBN-13 Converter
Convert an ISBN-10 to ISBN-13 (with the 978 prefix) and back, recomputing the correct check digit in each format. Used by books, publishers and libraries.
Mass ↔ Energy (E=mc²) Converter
Convert mass to energy and back via Einstein's equation E = mc², with c = 299,792,458 m/s. Enter mass in kilograms to get energy in joules, and the reverse. Demonstrates mass-energy equivalence.
pH, pOH and Concentration Converter
Convert between pH, pOH, H⁺ ion concentration and OH⁻ concentration at 25 °C, using pH + pOH = 14 and [H⁺] = 10⁻ᵖᴴ. Tells whether the solution is acidic, neutral or basic.
dBFS ↔ Linear Amplitude Converter
Convert between dBFS (decibels relative to digital full scale) and linear amplitude (0 to 1) in digital audio: 0 dBFS = amplitude 1.0 (max) and −6 dBFS ≈ half. Formula: dBFS = 20·log₁₀(amplitude).
Sound Frequency ↔ Wavelength Converter
Convert between a sound's frequency (Hz) and its wavelength, using the speed of sound in air (343 m/s at 20 °C, adjustable). Useful in acoustics, room treatment and instrument building.
Betting Odds Converter (Decimal, Fractional, American)
Convert betting odds between decimal (European), fractional (British) and American (moneyline) formats, and show the matching implied probability. Indispensable for bettors.
Real ↔ Nominal Rate (Fisher) Converter
Compute the real interest rate from the nominal rate and inflation (and vice versa) via the Fisher equation: (1 + nominal) = (1 + real) × (1 + inflation). Shows the gap between apparent and real gain.
Angular Velocity Converter (rad/s, RPM, °/s)
Convert angular velocity between radians per second (rad/s), revolutions per minute (RPM) and degrees per second (°/s). One full turn equals 2π rad or 360°. Useful in mechanics, motors and robotics.
Frequency ↔ Period Converter
Convert between a signal's frequency (hertz) and its period (seconds), which are inverses: period = 1 / frequency. Also shows ms and µs. Useful in electronics and wave physics.
Old ↔ Mercosur License Plate Converter
Convert a Brazilian vehicle plate from the old pattern (ABC-1234) to the Mercosur pattern (ABC1C34) and back, applying the official replacement of the fifth character with a letter (0=A, 1=B, …, 9=J).
RGB Color (0–255 ↔ Percent) Converter
Convert RGB color values between the 0–255 range and the percentage notation (0% to 100%) accepted by the CSS rgb() function, also showing the matching hexadecimal.
Bearing Between Coordinates Calculator
Compute the initial bearing (azimuth, 0 to 360°) from a starting point (lat, lon) to a destination on the Earth's surface, with the matching cardinal direction. Useful in navigation, drones and GPS.
Forex Pip Value Calculator
Compute the monetary value of a pip in a forex trade from the position size (units) and the pip size. For most pairs 1 pip = 0.0001; for JPY pairs, 1 pip = 0.01.
Forex Lot Size (Units) Converter
Convert between forex lot sizes and the number of base-currency units: 1 standard lot = 100,000 units, 1 mini = 10,000, 1 micro = 1,000 and 1 nano = 100. Essential for risk management.
Year Fraction (Day Count) Converter
Compute the year fraction between two dates using the day-count conventions used in interest and bonds: 30/360, Actual/360 and Actual/365. Indispensable in finance and fixed income.
Short ↔ Long Scale (Billion) Converter
Show the name of a large number in the short scale (US: billion = 10⁹) and the long scale (continental Europe and old Brazil: bilhão = 10¹²). Clears up the 'billion' vs 'bilhão' confusion.
APCA Contrast Calculator
Compute the APCA contrast (Lc) between a text color and the background — the modern algorithm planned for WCAG 3 that replaces the traditional contrast ratio with a more perceptually accurate measure. Lc 60+ is recommended for body text.
Perceived Brightness (HSP) Calculator
Compute a color's perceived brightness via Darel Rex Finley's HSP formula (with perceptual weights 0.299, 0.587 and 0.114) and tell whether white or black text contrasts better on it.
RGB ↔ YPbPr Color Converter
Convert colors between RGB and the YPbPr space (analog component video), with luma Y and the color differences Pb and Pr, per Rec. 601. Used in component video connections.
Base32 Encoder (RFC 4648)
Encode and decode text in Base32 per RFC 4648, using the 32-character alphabet (A–Z and 2–7) with '=' padding. Ideal for human-readable identifiers, TOTP tokens and data that must survive case-insensitive systems.
Base45 Encoder (RFC 9285)
Encode and decode text in Base45 per RFC 9285, the scheme used in EU COVID digital certificate QR codes. It packs each pair of bytes into 3 characters of the 45-symbol alphabet, optimized for the QR code alphanumeric mode.
Ascii85 / Base85 Encoder
Encode and decode text in Ascii85 (Base85, Adobe variant with <~ ~> delimiters), representing 4 bytes as 5 printable ASCII characters. More compact than Base64, it is used in PostScript and PDF.
Uuencode / Uudecode
Encode and decode data in the classic Unix Uuencode format, with a 'begin' header, 6-bit blocks mapped to printable ASCII and an 'end' footer. Historically used to send binaries over e-mail and Usenet.
Vigenère Cipher
Encrypt and decrypt text with the Vigenère cipher, a polyalphabetic substitution that shifts each letter by the matching letter of a repeated keyword. Non-alphabetic characters are preserved.
Atbash Cipher
Encrypt and decrypt text with the Atbash cipher, a monoalphabetic substitution that mirrors the alphabet (A↔Z, B↔Y, …). It is its own inverse: applying it twice restores the original text. Non-alphabetic characters are preserved.
Rail Fence Cipher
Encrypt and decrypt text with the Rail Fence cipher, a transposition cipher that writes letters in a zig-zag across N rails and reads them row by row. Configure the number of rails to vary the result.
A1Z26 Cipher
Convert text to the A1Z26 cipher and back, mapping each letter to its position in the alphabet (A=1, B=2, …, Z=26). Numbers are separated by hyphens and words by spaces. Common in puzzles and clue-hunting games.
Bacon Cipher
Encrypt and decrypt text with Bacon's cipher, a steganography that encodes each letter as a sequence of five 'A' and 'B' (5-bit binary). It uses the distinct 26-letter alphabet. Non-alphabetic characters are ignored when encrypting.
Neper ↔ Decibel Converter
Convert gains and attenuations between neper (Np) and decibel (dB), the two logarithmic ratio units. For field quantities (voltage, current, pressure) 1 Np = 8.6859 dB. Useful in telecommunications, acoustics and electronics.
Viscosity Converter (Poise, Stokes, SI)
Convert dynamic viscosity between pascal-second, poise and centipoise, and kinematic viscosity between square meter per second, stokes and centistokes. Pick the quantity and the source and target units. Essential in fluid mechanics and lubrication.
Baumé ↔ Density Converter
Convert between degrees Baumé (°Bé) and specific gravity (relative density), on both scales: for liquids heavier than water and for liquids lighter than water. The Baumé scale is used in the chemical, food and beverage industries (syrups, brines, acids).
Mach Number ↔ Mach Angle Converter
Convert between the Mach number (M) and the Mach angle (μ) of the shock cone in supersonic flight, via μ = arcsin(1/M). Valid for M ≥ 1. Useful in aerodynamics and the study of shock waves.
BMI ↔ BMI Prime & Ponderal Index
Compute the BMI (body mass index), BMI Prime (the ratio of BMI to the upper healthy limit of 25) and the ponderal index from weight and height. BMI Prime shows directly how far above or below the ideal weight you are.
Typographic Point Converter (pt, pica, Didot, mm)
Convert between typographic units: PostScript point (1/72 inch), pica (12 points), Didot point, cicero, millimeter and inch. Indispensable in layout, typography and editorial design.
Stern-Brocot Converter (Fraction ↔ L/R Path)
Convert a fraction to the left/right (L/R) path that locates it in the Stern-Brocot tree, and back. The tree generates every positive rational exactly once via the mediant of two neighboring fractions. Useful for continued fractions and rational approximations.
Roman Fraction Converter (Unciae)
Convert fractions to the Roman twelfths notation (the unciae system), where each twelfth is a dot (·) and the half is S (semis), and back. The Romans used base 12 for fractions; the result combines the Roman numeral of the integer part with the fractional symbols.
Dyadic (Binary) Fraction Converter
Convert a decimal number to its binary fractional representation (e.g. 0.375 = 0.011₂ = 3/8) and back. Shows whether the expansion is finite (a dyadic number, with a power-of-two denominator) or repeating. Useful in computing and number theory.
RGB ↔ CIE xyY Color Converter
Convert colors between RGB (sRGB, D65) and the CIE xyY space, which separates chromaticity (the x and y coordinates of the CIE 1931 diagram) from luminance (Y). The sRGB primaries fall at known x,y: red (0.64, 0.33), green (0.30, 0.60) and blue (0.15, 0.06).
Fibonacci Coding (Encoder)
Encode positive integers in Fibonacci coding, a self-delimiting universal code based on the Zeckendorf representation: each number becomes a binary word that always ends in '11', so numbers can be separated without markers. Decodes back too.
Elias Gamma Coding (Encoder)
Encode positive integers in Elias gamma coding, a universal prefix code: write N zeros followed by the binary representation of the number (N+1 bits). It is optimal when small numbers are far more frequent than large ones. Encodes and decodes.
Elias Delta Coding (Encoder)
Encode positive integers in Elias delta coding, which encodes the length of the number with the gamma code and then the remaining bits. It is asymptotically more efficient than gamma for large numbers. Encodes and decodes full sequences.
Golomb-Rice Coding (Encoder)
Encode non-negative integers in Golomb-Rice coding with parameter k (M = 2^k): the quotient n div M is written in unary and the remainder n mod M in k bits. Used in audio (FLAC, Shorten) and image compression. Encodes and decodes.
EBCDIC ↔ Text Converter
Convert text between ASCII and EBCDIC (code page 037), the character encoding of IBM mainframes. Shows the EBCDIC bytes in hexadecimal and rebuilds the text from them. Useful for integrating with legacy z/OS and AS/400 systems.
z-base-32 Encoder
Encode and decode data in z-base-32, the Base32 variant created by Zooko optimized for human reading and typing, with an alphabet that avoids ambiguous characters and uses no padding. Used in Tahoe-LAFS keys and media links.
Roman Numerals with Vinculum (Large Numbers)
Convert large numbers into Roman numerals using the vinculum — the bar over a numeral that multiplies it by a thousand (V̄ = 5000, X̄ = 10000). It allows values up to the millions, which ordinary Roman numerals cannot reach. Converts both ways.
Bijective Numeration (Base-k)
Convert positive integers to bijective numeration in any base k and back. Unlike ordinary positional notation, it uses no zero digit and the digits run from 1 to k, giving every number a unique representation — as in spreadsheet columns A, B, C (bijective base 26).
Skew Binary Number System
Convert integers between decimal and the skew binary number system, where the least significant non-zero digit may be 2 and each position has value 2^(k+1)−1. This system lets you increment a number by changing few digits, useful in functional data structures.
NegaFibonacci Coding
Represent any integer — positive or negative — in NegaFibonacci coding, which uses Fibonacci numbers of negative index. Every integer has a unique representation with no two consecutive 1s. Converts decimal ↔ NegaFibonacci both ways.
Pitch Notation: Helmholtz ↔ Scientific
Convert note names between Helmholtz notation (C, c, c′, c″) and scientific pitch notation (C3, C4, C5…), the two systems for identifying the exact octave of a note. C4 (middle C) corresponds to one-line c. Keeps sharps and flats.
Note Names: C-D-E ↔ Do-Re-Mi
Convert note names between the Anglo-Saxon letter system (C, D, E, F, G, A, B) and Latin solfège (Do, Re, Mi, Fa, Sol, La, Si), used in Brazil and Europe. Preserves sharps (#) and flats (b) and converts whole sequences at once.
Burrows-Wheeler Transform (BWT)
Apply and reverse the Burrows-Wheeler Transform, which rearranges a text's characters to group similar ones together for easier compression (the heart of bzip2). It uses an end-of-text marker so the transform is reversible without an extra index.
Move-to-Front (MTF) Coding
Encode and decode text with the Move-to-Front transform, which replaces each symbol by its index in a list and moves it to the front. It turns repeated symbols into zeros, preparing data for entropy compression (used after the BWT in bzip2).
Huffman Coding (Compression)
Build the optimal Huffman tree for a text and show the binary code of each symbol, the total number of bits and the savings over 8-bit ASCII. Huffman coding assigns shorter codes to more frequent symbols — the basis of ZIP, JPEG and MP3.
GPS Week ↔ UTC Date
Convert between the GPS week number with the time of week (TOW, in seconds) and the corresponding UTC date and time. The count starts at the GPS epoch, 6 January 1980. Useful in geodesy, tracking and processing of GNSS receiver data.
Delta Encoding (Sequences)
Apply and reverse delta encoding of a number sequence: store the first value and then only the differences between consecutive values. When numbers vary little, the differences stay small and compress better. Used in time series, audio and versioning.
Babylonian Numerals (Base 60)
Convert decimal numbers to the Babylonian sexagesimal (base 60) system and back. Each digit from 1 to 59 is written with tens (<) and ones (|) symbols, grouped into base-60 positions. It is the oldest positional notation, ancestor of our minutes and degrees.
Elias Omega Coding (Encoder)
Encode positive integers in Elias omega coding, a recursive universal code that repeatedly prepends the length of the previous group in binary until a single bit remains. It is more efficient than the gamma and delta codes for very large numbers. Encodes and decodes.
Greek Attic (Acrophonic) Numerals
Convert numbers to the Attic (acrophonic) numerals of ancient Greece and back. The system uses Ι for 1, Γ for 5, Δ for 10, Η for 100, Χ for 1000 and Μ for 10000, combining Γ with the others for multiples of five (ΓΔ = 50). It predates the Ionic Greek letter numerals.
djb2 Hash (Non-Cryptographic)
Compute the djb2 hash of a text, Daniel J. Bernstein's popular function that starts at 5381 and for each character does hash × 33 + code. Returns a 32-bit value. Widely used in hash tables for being fast with good dispersion. Not for security.
SDBM Hash
Compute the SDBM hash of a text, the function used in the SDBM database library and ndbm. For each character it applies hash = c + (hash << 6) + (hash << 16) − hash, yielding 32 bits. Simple and well-distributed for hash table keys.
System V Checksum (sum -s)
Compute the 16-bit checksum of the System V Unix sum utility (-s option): it sums all bytes and folds the carries back. Also shows the number of 512-byte blocks. A simple integrity checker still found in legacy Unix scripts.
LZW Compression (Lempel-Ziv-Welch)
Encode and decode text with the LZW algorithm, which builds a dynamic dictionary of sequences as it reads the data and replaces them with numeric codes. It is the algorithm of the GIF format and Unix compress. Shows the list of generated codes.
LZ78 Compression
Encode and decode text with the LZ78 algorithm, which builds a dictionary of phrases and emits (index, character) pairs representing the previous phrase plus a new symbol. It is the theoretical basis of LZW and the dictionary compressor family.
Shannon-Fano Coding
Build the Shannon-Fano codes for a text: sort symbols by frequency and recursively split the set into two halves of balanced weight, assigning 0 and 1 to each side. Shows each symbol's code and the total bits. It is the precursor of Huffman coding.
QWERTY ↔ Colemak Keyboard Converter
Convert text between what would be typed on the same physical keys in the QWERTY and Colemak layouts. Colemak rearranges the letters to reduce finger movement while keeping common shortcuts, a modern alternative to Dvorak. Useful when switching layouts.
QWERTY ↔ AZERTY Keyboard Converter
Convert text between the QWERTY and AZERTY (France and Belgium) keyboard layouts. The main swaps are A↔Q and W↔Z. Shows what would come out typing the same text on the other layout, useful when using a keyboard set differently than expected.
Walsh-Hadamard Transform
Compute the Walsh-Hadamard Transform of a vector whose length is a power of two, and its inverse. It uses only additions and subtractions with the Hadamard matrix (natural ordering), a discrete analogue of the Fourier transform used in signal processing and coding.
NYSIIS Phonetic Algorithm
Generate the NYSIIS (New York State Identification and Intelligence System) phonetic code of a name, grouping names that sound alike in English. More accurate than Soundex by handling digraphs and letter patterns. Used in similarity search and record deduplication.
QWERTY ↔ QWERTZ Keyboard Converter
Convert text between the QWERTY and QWERTZ (Germany, Switzerland and Central Europe) keyboard layouts. The main difference is swapping Y and Z, since Z is far more frequent in German. Shows what would come out typing the same text on the other layout.
QWERTY ↔ Workman Keyboard Converter
Convert text between the QWERTY and Workman keyboard layouts. Workman is an optimized layout that distributes the load according to each finger's natural reach, an alternative to Dvorak and Colemak. Shows what would come out typing the same text on the same physical keys.
Adjacency Matrix ↔ Adjacency List
Convert a graph's representation between an adjacency matrix (a grid of 0s and 1s) and an adjacency list (each vertex with its neighbors), both ways. The two forms are equivalent, but each is more efficient for different graph-algorithm operations.
Prüfer Sequence ↔ Tree
Convert between a labeled tree and its Prüfer sequence, a unique encoding of length n−2. It demonstrates Cayley's formula (nⁿ⁻² labeled trees) and is used to generate random trees. Converts both ways.
Graph Incidence Matrix
Build the incidence matrix of an undirected graph from its edge list: a vertices × edges grid where each column marks with 1 the two vertices that edge connects. A representation useful in the linear algebra of graphs and in network theory.
Graph Complement
Compute the complement of a simple graph: the one where two vertices are connected exactly when they are NOT connected in the original. Enter the number of vertices and the edges, and see the complement's edges. A graph joined with its complement is the complete graph.
Binary Search Tree Traversals
Insert a sequence of numbers into a binary search tree (BST) and show the three classic traversals: in-order (which comes out sorted), pre-order and post-order. Demonstrates how traversal defines the output in tree structures.
Prefix Trie (Autocomplete)
Insert a list of words into a prefix tree (trie) and list all those starting with a given prefix — the mechanism behind autocomplete. The trie shares the words' common prefixes, making prefix search very efficient.
Music Transposer (Notes and Chords)
Transpose a sequence of notes or chords by a number of semitones to change a song's key while keeping the relations between notes. For example, transposing C E G by +2 semitones gives D F# A. Accepts sharps and flats.
Clock Roman Numerals (IIII)
Convert the hours 1 to 12 to Roman numerals as they appear on clock faces, where four is traditionally written IIII instead of IV — a horological convention for visual symmetry. Also shows the standard IV form for comparison.
🛠️ Utilities
CNAB File Reader
Read Brazilian CNAB 240 and CNAB 400 banking files and display records decomposed by type.
GEDCOM Reader
Read GEDCOM (genealogy) files and list individuals (INDI) with name, birth and death dates.
PDF Merge
Merge several PDFs into a single file in the given order. Everything in your browser via pdf-lib.
EXIF Viewer
Read EXIF metadata from a photo: camera, lens, ISO, aperture, shutter, date, GPS. Browser-only via exifr.
Steam Avatar Formatter
Resize an image to 184×184 (Steam large avatar) or 32×32 (small avatar). Smooth edges, lossless quality.
WoW Addon Icon Converter
Resize an image to 64×64 in BLP-friendly format, the standard used by World of Warcraft addon icons.
NFe XML Viewer
Reads and displays the main fields of a Brazilian NF-e/NFC-e XML: issuer, recipient, items, totals, ICMS.
Image to ASCII
Convert any image into ASCII art from each pixel's brightness. Configurable width and density.
Image Slicer
Slice an image into N×M tiles (grid). Useful for puzzles, slideshows or grid layouts.
Spritesheet Cutter
Cut a spritesheet into individual frames given rows and columns. ZIP download.
QR Code Reader
Read QR codes from device camera or uploaded image. 100% in your browser (jsQR).
CEP Lookup
Look up Brazilian postal codes (CEP) via ViaCEP API. Returns street, neighborhood, city, state and area code.
CNPJ Lookup
Look up public company data by Brazilian CNPJ via BrasilAPI. Returns legal name, status, main activity and address.
Placeholder Image Generator
Generate PNG placeholder images at chosen dimensions and colors with centered text. Useful for prototypes.
Bank Code Lookup
Find FEBRABAN code of major Brazilian banks (BB, Itaú, Bradesco, Santander, Nubank, Inter, Caixa) by name or number.
WhatsApp Link Generator
Generate wa.me or api.whatsapp.com links with pre-filled message (URL-encoded). Ready to use in buttons.
Word Counter
Count words, characters with and without spaces, and paragraphs in real time. Ideal for writers, students and anyone working with text.
MD5 Hash Generator
Generate the MD5 hash of any text online — 32 hexadecimal characters calculated in the browser, no data sent to any server.
SHA-256 Hash Generator
Generate the SHA-256 hash of any text using the native Web Crypto API. 64-character hex hash, processed locally in your browser.
My IP Address
Discover your public IP address in seconds. See the IPv4 address assigned by your internet service provider (ISP).
Pomodoro Timer
Online Pomodoro timer to boost focus and productivity. 25-minute work cycles with 5-minute short breaks and configurable long breaks.
Number Picker
Pick random numbers without repetition between a minimum and maximum. Ideal for lotteries, raffles and random selections.
Symbols Library
Browse Unicode symbols organized by category and copy with one click. Currency, arrows, math, punctuation and much more.
Unicode Text Styles
Transform your text into decorative styles using Unicode characters: bold, italic, fraktur, double-struck and monospace.
Stopwatch
Online stopwatch with hundredths precision, laps and history. Works in the browser with no installation.
Digital Clock
Full-screen digital clock showing local time in real time. Supports 12h and 24h format with fullscreen mode.
Countdown Timer
Countdown timer configurable in hours, minutes and seconds. With sound alert and progress bar.
Online Alarm
Set an alarm for any time of day directly in your browser. With sound alert and visual notification.
Slugify
Convert titles and text into URL-friendly slugs. Removes accents, converts to lowercase and replaces spaces with hyphens. Essential for SEO.
Color Picker
Pick a color and get its HEX, RGB and HSL values with one click to copy.
Image Color Picker
Load an image and discover the color of any pixel in real time. Hover to see HEX, RGB and HSL with a magnifier. Automatically extracts the dominant color palette.
Blank Screen
Fully white screen for projecting, cleaning the display or using as a focus background. Supports dark mode.
World Time Zones
See the current time in major cities around the world in real time. Compare time zones simply.
Symbol Table
Copy special symbols with one click: arrows, mathematical, currency, Greek letters, shapes and much more. Compatible with WhatsApp, Word and social networks.
Emoji List
Explore and copy over 500 emojis organized by category: faces, people, animals, food, travel, activities, objects and symbols. Search by name.
ASCII Table
Look up all 128 ASCII characters with decimal, hex, binary, HTML entity and description. Filter by type and search by character or code.
Alt Codes
Complete reference of Windows Alt codes: special symbols, accented letters, currencies, math symbols, Greek letters and more. Copy any character with one click.
SHA-1 Hash Generator
Generate the SHA-1 hash of any text using the native Web Crypto API. 40-character hex hash, processed locally.
CRC32 Calculator
Calculate the CRC32 checksum of any text. Returns the value in hexadecimal, decimal and binary. Processed in the browser.
Browser Info
Discover detailed information about your browser and system: name, version, OS, screen resolution, language, time zone and more.
Character Info
Get full information about any Unicode character: decimal code, hex, HTML entity, UTF-8 and official name. Click any character to inspect it.
Brazilian Bank Code Lookup
Look up the COMPE/ISPB code of major Brazilian banks. Search by name or code and find the official number for TED, DOC and PIX.
Flip Image
Flip an image horizontally, vertically or in both directions. Instant result in the browser — no data sent to servers.
Grayscale Image Converter
Convert any image to grayscale (black and white) in the browser. Instant processing without sending data to servers.
Sepia Effect
Apply the classic sepia (vintage photo) effect to any image directly in the browser. Download the result as PNG.
Invert Image Colors
Invert all colors in an image (negative effect). Each pixel is replaced by its RGB complement. Processed in the browser.
Rotate Image
Rotate an image by 90°, 180° or 270° (clockwise and counterclockwise). Instant result in the browser, with PNG download.
Resize Image
Resize any image by setting width and height in pixels. Option to maintain aspect ratio. Browser-side processing, no upload to servers.
Image Brightness & Contrast
Adjust the brightness and contrast of any image with real-time sliders. See the result instantly and download as PNG.
Color Adjuster
Lighten, darken, invert, desaturate or adjust the saturation of a HEX, RGB or HSL color. See the result in real time.
Color Mixer
Mix two colors and get the resulting color. Control the percentage weight of each color. Result in HEX, RGB and HSL.
WCAG Contrast Checker
Check the contrast between text and background colors per WCAG 2.1 guidelines. Shows the ratio and AA/AAA levels for normal and large text.
Online Notepad
Online notepad that automatically saves in the browser via localStorage. Your notes persist between sessions without any account or login.
Color Palette Generator
Generate harmonious color palettes from a base color. Schemes: monochromatic, analogous, complementary, triadic, tetradic and split-complementary.
SHA-512 Hash Generator
Generate 128-character SHA-512 hex hashes from any text using the native Web Crypto API.
SHA-384 Hash Generator
Generate 96-character SHA-384 hex hashes from any text using the native Web Crypto API.
Number Formatter
Format numbers with thousand separators, decimal places and currency symbols for BR (Real), US (Dollar) and EU (Euro) standards. Supports percentage.
Typing Speed Test
Measure your typing speed in words per minute (WPM) and characters per minute (CPM). Timed test with accuracy analysis.
Map Points
Plot geographic coordinates (latitude/longitude) on an interactive OpenStreetMap. Add markers by clicking the map or entering coordinates.
Map Route Planner
Create routes by adding waypoints on an interactive OpenStreetMap. View total distance in km and export points as CSV.
Color Shades Generator
Generate shades and tints of any color. Click to copy the HEX, RGB or HSL code. Perfect for design systems and UI development.
Color Blindness Simulator
See how an image appears to people with protanopia, deuteranopia, tritanopia or achromatopsia. Accessibility tool for designers and developers.
Image Compressor
Compress JPEG and PNG images directly in the browser using the Canvas API. Set the target quality (1–100%) and see the size reduction in real time. No files are uploaded to servers.
Reading Time Calculator
Estimate the reading time of any text based on words per minute (WPM). Useful for articles, posts and scripts. Also shows word count, characters and speaking time. Everything in your browser.
Mailto Link Generator
Generate mailto: links with recipient, subject, body, CC and BCC. Useful for "Send email" buttons on sites and signatures. Built-in copy and test. Everything in your browser.
IPv4 CIDR Range Expander
Expand IPv4 CIDR blocks (e.g. 192.168.0.0/24) into first IP, last IP, broadcast, mask and total usable hosts. Useful for network and firewall planning. Everything in your browser.
Phone Number Parser
Parse phone numbers — extract country code, area code and number, format in Brazilian style (+55 11 9XXXX-XXXX) and international E.164 (+5511...). Works with several formats. Everything in your browser.
Safelink Decoder
Decode URLs wrapped by SafeLinks (Outlook, AWS SES, Mandrill, SendGrid and similar). Reveals the real protected URL behind the wrapper. Everything in your browser.
UTM URL Builder
Add utm_source, utm_medium, utm_campaign, utm_term and utm_content to a URL. Ready for Google Analytics and GA4. Everything in your browser.
Binary (Hex) Diff
Compare two text inputs byte by byte and show the first divergent offset in hexadecimal, with context before and after.
Country Flag Finder
Find country flag emoji by ISO 3166 alpha-2 code (BR, US, DE...).
Find Emoji by Keyword
Find emojis by keyword (cat, heart, fire). Includes 200+ popular emojis.
World Clock
Show current time in major world cities (São Paulo, New York, London, Tokyo, Sydney).
Tabata Timer
Classic Tabata timer: 8 rounds of 20s work / 10s rest with audio cues.
Tap Tempo BPM
Compute BPM by tapping (click or spacebar). Uses moving window of last 8 taps.
Online Checklist
Create checklists with checkboxes persisting in localStorage.
4-7-8 Breathing Counter
Guided 4-7-8 breathing pattern (inhale 4s, hold 7s, exhale 8s) for relaxation.
Extended Pomodoro Timer
Customizable Pomodoro: 25/5 work/short, 15min long break every 4 cycles, audio notification.
Online Metronome
Simple metronome 30-240 BPM with downbeat accent.
Visual Spin-Wheel Picker
Animated spin wheel that picks one item from a list, equal slices.
Tone Generator (Frequency)
Generate a continuous tone at chosen frequency (20-20000Hz) with sine/square/sawtooth wave.
Diceware Passphrase Generator
Generate secure Diceware passphrases: N random words joined by hyphen.
Deep Work Timer (90/30)
Long focus timer: 90 min deep work + 30 min break, looping.
Binary Clock
Show current time in binary BCD with columns for hours/minutes/seconds.
Pick Without Repetition
Pick N items from a list without repetition (shuffle-and-take-first-N).
Yes/No/Maybe Wheel
Spin a small wheel for Yes/No/Maybe — quick decision tool.
Project Deadline Countdown
Show working days left until deadline and project elapsed percentage.
Meditation Clock
Silent meditation timer with gentle bell every N minutes (default 5/10/15 min).
Flexible Pomodoro Timer
Pomodoro timer with fully customizable focus/short/long breaks and cycles before long break.
RPG Multi-Dice Roller
Roll dice in NdM notation (2d6+3, 1d20, 4d4-1) with modifiers.
Weighted Random Pick
Pick weighted random item from list (e.g. "Ana 3" = Ana with weight 3).
Random with Distribution
Generate N random numbers from chosen distribution (uniform, normal, exponential, triangular).
MAC with specific vendor
Generate random MAC with specific vendor OUI prefix (Apple, Intel, Cisco, Samsung).
IPv6 Generator with Prefix
Generate fake IPv6 addresses within a given prefix (2001:db8::/32, fc00::/7, fe80::/10).
Random CIDR List Generator
Generate N random IPv4 CIDRs in private ranges with /24 to /28 prefixes.
Stopwatch with Laps
Stopwatch with start/pause/lap/reset. Records each lap with best/worst highlights.
Seeded Random Generator
Generate N random numbers from a given seed (Mulberry32). Same seed = same sequence.
Fluid Typography (clamp) Generator
Build CSS clamp() for fluid typography — smoothly scales between min and max sizes based on viewport width.
CSS Transition Generator
Build CSS transition: property, duration, timing-function (ease, linear, cubic-bezier), delay. Includes examples.
CSS 3D Button Generator
Generate CSS for a 3D button using box-shadow and translateY. Configurable color, depth, hover. Live preview.
Image Blur (Canvas)
Apply blur (gaussian-like) filter to an image using Canvas + CSS filter. Configurable radius in pixels. All in the browser.
Image Pixelate (Canvas)
Apply pixelate (mosaic) effect to an image by downsampling and upscaling. Configurable pixel size.
ISO 4217 Currency List Generator
Generate ISO 4217 currency code list — 50 common currencies with symbol, name, country. For financial dropdowns.
Tweet Resizer (truncate to 280)
Take a long text and reduce to 280 chars, keeping whole words. Adds "..." and shows count before/after.
HTML Link Extractor (audit)
Extract all links (href) from pasted HTML, classify absolute/relative and protocols (http, https, mailto, tel). For audit.
Common Acronym Resolver
Look up common acronyms in tech, science, and business: API, REST, AI, ML, KPI, ROI, etc. 100+ mapped.
File Encoding Detector
Read first bytes of a file (BOM, distribution) and infer encoding: UTF-8, UTF-16 LE/BE, UTF-32, pure ASCII, or Latin-1.
PT Country ⇄ ISO Mapper
Search a country name in Portuguese and return ISO 3166 alpha-2/alpha-3 codes (or reverse). 100+ countries.
Extract Numbers from Text
Find all numbers (integer, decimal, Portuguese "1.234,56" or English "1,234.56" formats) in text. Returns clean list.
curl --data-binary Encoder
Encode binary content (from file or text) compatible with curl --data-binary @file. Also shows hex version.
curl --data-urlencode Helper
Apply URL encoding to multiple key=value pairs (one per line) and produce ready-to-copy curl --data-urlencode.
CSV Quote Style Converter
Convert CSV between quote styles: none, single, double, double-only-if-needed (e.g., cell with comma).
PDF Table Extraction Guide
Show how to extract tables from PDFs using common tools (Tabula, pdftotext, Python pdfplumber, OCR). Step-by-step.
File Size Comparator
Compare 2+ uploaded files, compute differences in bytes/KB/MB and percentage. For optimization audit.
Multi-platform Username URLs
Take a username and generate manual-check URLs for 10 platforms (Twitter, GitHub, Instagram, Reddit, etc.). Not real-time.
String Similarity (Levenshtein)
Compute Levenshtein distance and similarity (%) between 2 strings. For typo detection, duplicates, fuzzy matching.
Perceptual Image Hash Comparator
Compute simple perceptual hash (aHash) of an image and compare between 2 to detect duplicates/similar. For deduplication.
PII Pattern Detector
Find personally identifiable information (PII) in text: CPF, CNPJ, email, phone, credit card, IP, RG. For LGPD audit.
Mailto Link Builder
Builds mailto: links with recipient, subject, cc, bcc and body ready to paste into a website.
Tel Link Builder
Builds tel: links from a phone number, normalizing to E.164 international format.
SMS Link Builder
Builds sms: links with phone number and optional message body, ready for mobile apps and pages.
WhatsApp Link Builder
Builds wa.me links with international number and pre-filled message to open a direct chat.
Skype Link Builder
Builds skype: links for direct call or chat from a username, with action selection.
Discord Invite Builder
Builds Discord invite URLs (discord.gg/CODE) from a valid invite code.
Spotify URI Builder
Builds spotify: URIs and https://open.spotify.com URLs from a type (track/album/playlist) and ID.
YouTube Embed Builder
Builds a YouTube embed <iframe> from the video ID with customizable width and height.
Twitch Embed Builder
Creates a Twitch player <iframe> from the channel name and required parent domain.
Google Maps Embed Builder
Builds a simple <iframe> to embed Google Maps from an address or coordinates.
OpenStreetMap Embed Builder
Builds an OpenStreetMap <iframe> from a bounding box (lat/lng) and optional marker.
Iframe Builder
Builds a generic <iframe> with src, width, height and optional sandbox/allow attributes.
HTML Video Embed Builder
Builds an HTML5 <video> tag with source, controls, poster, autoplay and loop options.
HTML Audio Embed Builder
Builds an HTML5 <audio> tag with source, controls, autoplay, loop and preload options.
Img Srcset Builder
Builds an <img> tag with a responsive srcset from URLs and widths, ideal for fluid images.
Picture Tag Builder
Builds a <picture> tag with multiple <source> (modern formats like webp, avif) and an <img> fallback.
HTML Table Builder
Builds an HTML <table> from CSV headers and CSV rows (one row per record line).
HTML Form Builder
Builds a <form> with inputs from a list of name:type entries and configurable action/method.
Checklist HTML Builder
Creates a checkbox list from items (one per line), ready to paste into any page.
HTML List Builder
Builds a <ul> or <ol> list from items (one per line) with ordered/unordered selection.
HTML Quote Builder
Builds a <blockquote> with text, author and source formatted for articles and posts.
HTML Code Block Builder
Builds a <pre><code> with a language class to highlight source code in syntax-highlighter setups.
HTML Progress Bar Builder
Creates a progress bar using <progress> or a styled <div> from a value and max.
HTML Rating Stars Builder
Builds a sequence of filled/empty stars representing a numeric rating from 0 to 5.
Shields.io Badge Builder
Builds a shields.io badge URL from label, message and color, ready to embed in READMEs.
Mini Pomodoro
A simple pomodoro pattern with 25-minute focus and 5-minute break cycles, explained for personal use.
Screen Color Eyedropper
Explains how to use the browser EyeDropper API to pick a color from any point on the screen.
HTML Toggle Switch Builder
Builds an iOS-style toggle switch with label using <input type=checkbox> and inline CSS.
HTML Accordion Builder
Builds a collapsible accordion of sections using <details> and <summary>, with no JS needed.
Bookmarklet Builder
Wraps a JavaScript snippet as a bookmarklet (javascript: link) ready to drag to the bookmarks bar.
Contraste WCAG AA
Calcula contraste entre duas cores e indica se atende AA (4.5:1) ou AAA (7:1).
Mistura Aditiva de Cores (RGB)
Mistura duas cores no espaço RGB (soma de luz) com saturação automática.
Mistura Subtrativa de Cores (CMY)
Mistura duas cores no espaço CMY (tintas).
Verificador de Palíndromo
Verifica se uma palavra/frase é palíndromo, ignorando espaços e acentos.
Anagrama Check
Verifica se duas strings são anagramas.
Escala Beaufort
Converte velocidade do vento (km/h) em força Beaufort (0-12).
Escala Mohs (Dureza Mineral)
Mostra mineral de referência por dureza Mohs (1-10).
Placeholder Image SVG
Gera SVG placeholder com texto centralizado (data URI).
Identicon 5×5
Gera identicon SVG 5×5 simétrico a partir de um seed (texto).
Preço/Hora → Mês/Ano
Converte preço por hora em salário mensal/anual (40h/sem).
Temperatura Corporal (Febre?)
Classifica temperatura: normal (<37.5), febrícula, febre, febre alta.
Pressão Arterial Categoria
Classifica pressão arterial sistólica/diastólica conforme guidelines.
Glicemia mg/dL ↔ mmol/L
Converte glicemia entre mg/dL e mmol/L (fator 18.018).
Ração para Cachorro/dia
Estima ração diária por porte do cachorro (g/dia).
Ração para Gato/dia
Estima ração diária para gato (50 g por kg em média).
Desafio do Dia
Mostra um desafio aleatório (auto-cuidado, produtividade, criatividade).
Citação Filosófica
Mostra uma citação filosófica aleatória.
Lista de Compras Mercado
Gera lista aleatória de itens essenciais de supermercado.
Roda da Fortuna
Sorteia um prêmio fictício para fins de gamificação.
Reflexão do Dia
Mostra uma pergunta reflexiva diária.
Roupa por Temperatura
Sugere tipo de roupa com base na temperatura externa.
Velocidade de Leitura
Calcula sua velocidade de leitura: palavras lidas / minutos.
Tempo Cozimento Arroz
Mostra tempo e proporção de água para cozinhar arroz por tipo.
Vacinas por Região
Lista vacinas recomendadas conforme região de destino (referência CDC/OMS).
Matriz de Eisenhower (4 quadrantes)
Classifica tarefas nos 4 quadrantes urgência/importância. Lista U=1/0 e I=1/0 (separadas por ;).
Validador de Meta SMART
Verifica se um texto de meta atende às 5 letras: Específica, Mensurável, Atingível, Relevante, Temporal.
Pomodoro Batch Planner
Calcula quantos Pomodoros (25 min + 5 pausa) cabem em N tarefas, total de minutos e horas reais.
Ranker 80/20 (Pareto)
Recebe valores separados por vírgula e identifica quais itens (top 20%) somam ~80% do total.
Eisenhower — Picker U/I
Recebe escore urgência (0-10) e importância (0-10) e devolve quadrante recomendado + ação sugerida.
Cronograma de Jejum (16:8, 18:6, 20:4)
Calcula janela alimentar e janela de jejum a partir da hora que acordou e protocolo escolhido.
Zodíaco Chinês por Ano
Retorna animal do zodíaco chinês para um ano (ciclo de 12 anos).
Zodíaco Azteca por Data
Retorna signo azteca (Tonalpohualli aproximado) por data de nascimento.
Zodíaco Druida por Data
Retorna árvore-signo druida/celta para uma data (Robert Graves).
Zodíaco Védico (Indiano)
Retorna signo védico aproximado (sidereal/Rashi) por data de nascimento.
Calendário Celta de Árvores
Mostra árvore Ogham celta por mês lunar aproximado.
Elemento do Ano (5 elementos)
Retorna elemento chinês (madeira/fogo/terra/metal/água) por ano (ciclo de 10).
Mapa Natal Aproximado
Stub aproximado de mapa natal: sol pela data, lua/asc pela latitude+hora.
Pedra de Nascimento
Mostra pedra preciosa associada a cada mês (birthstone).
Flor de Nascimento
Mostra flor associada a cada mês de nascimento.
Número Caminho de Vida
Calcula Life Path Number da numerologia (soma reduzida da data DD/MM/AAAA).
Número Destino (Numerologia)
Calcula Destiny Number a partir das letras do nome completo (Pitagórica).
Número Expressão (Numerologia)
Calcula Expression Number — soma de todas as letras do nome de batismo.
Número da Alma (Soul Urge)
Calcula Soul Urge Number — soma apenas das vogais do nome.
Categoria Peso Boxe
Indica categoria de peso no boxe profissional para um peso em kg.
Área de País (km²)
Mostra área de país em km² (dados aproximados para 50 países).
Capital de País
Mostra capital de 50 países (lookup interno).
Fuso Horário de Capital
Mostra offset UTC aproximado de capitais (sem DST).
Hemisfério de Coordenada
Indica hemisférios (N/S e L/O) e quadrante de uma coordenada.
Retração: sugestão de ajuste
Direct-drive 0.5–1 mm; Bowden 4–6 mm; PETG +20% sobre PLA.
Velocidade primeira camada
Sugere 50% da velocidade nominal (típico 20–25 mm/s).
Ângulo de suporte (overhang)
Default 45°; PLA aguenta até 55°. Acima: gerar suporte.
Z-offset suggested
Sugere ajuste de Z-offset baseado em "first layer too high/low".
Temperatura bico por material
PLA 200, ABS 240, PETG 230, TPU 220 °C (médias).
Rotação de 4 Canteiros
Sugere rotação de famílias em 4 canteiros (folhas, frutos, raízes, leguminosas).
Expectativa de Vida de Papagaio
Mostra expectativa de vida média por espécie de psitacídeo.
Cochilo Ótimo 20 ou 90 min
Sugere duração de cochilo conforme o objetivo (energia rápida 20 min, recuperação 90 min).
Tempo de Tela por Idade (AAP)
Sugere tempo máximo de tela diário por faixa etária (AAP).
Cronotipo: Sugestão
Sugere cronotipo (early/intermediate/late) a partir do horário natural de acordar.
Siesta: Duração Ótima
Sugere duração ótima de siesta com base na hora atual (evita inércia).
Classificador Fee Mempool
Classifica taxa de transação Bitcoin (sat/vB) em prioridade: alta, média, baixa, econômica.
L1 vs L2 — Custo Comparado
Compara custo de transferência simples em Ethereum mainnet vs L2 (Arbitrum/Optimism — fator ~20x menor).
Detectar IPv6 6to4/IPv4-mapeado
Detecta se um endereço IPv6 é 6to4 (2002::/16), IPv4-mapeado (::ffff:0:0/96) ou IPv4-compatível.
Classificador Tipo de NAT
Classifica tipo de NAT (full cone, restricted cone, port-restricted, symmetric) com base nos pares de mapeamento.
Detector Overlap Port Range
Detecta se dois intervalos de portas se sobrepõem.
IPv4 → ASN (Top 20 lookup)
Identifica o ASN aproximado de um IP entre os 20 maiores ranges públicos conhecidos.
Hops por RTT Range
Estima número típico de hops com base em RTT (regra geral: ~10ms por hop intercontinental).
DNS TTL Recomendado
Sugere TTL DNS adequado conforme propósito (estável, migração, balanceamento).
Simulador Deuteranopia
Simula cor vista por daltônico deuteranópico (deficiência verde) — matriz de transformação RGB.
Simulador Tritanopia
Simula cor vista por daltônico tritanópico (deficiência azul) — matriz de transformação RGB.
GDPR Artigo Lookup
Consulta resumo dos artigos principais do GDPR (1-99).
LGPD Artigo Lookup
Consulta resumo dos artigos principais da LGPD (Lei 13.709/2018).
Classificador de Cookie
Classifica cookie em essencial, funcional, analytics ou marketing pelo nome conhecido.
Classe Espectral → Temperatura
Retorna faixa de temperatura superficial por classe espectral (OBAFGKM).
Classificação Hubble Galáxia
Retorna descrição de tipo de galáxia conforme classificação Hubble (E0-E7, S0, Sa-Sc, SBa-SBc, Irr).
Temperatura Interna USDA
Mostra temperatura interna alvo (USDA) por tipo de carne e ponto de cocção.
FPS vs Refresh Rate
Indica quais frames são exibidos comparando FPS do jogo e Hz do monitor.
Constante de Planck Reduzida (ℏ)
Mostra valor de ℏ = h/(2π) em J·s e eV·s, e h em ambas as unidades.
Unidades de Planck
Mostra comprimento, tempo, massa e temperatura de Planck.
Reverse Charge VAT UE
Indica se a operação intracomunitária B2B aplica reverse charge (zero rated com VAT do destinatário).
Tabela de VAT por País
Consulta a alíquota padrão de VAT/IVA/GST em vários países.
Compare Two Lists (Diff)
Find items present only in A, only in B, and in both. Useful for comparing exports, spreadsheets and email lists.
Merge Lists and Deduplicate
Join multiple lists and remove duplicates while keeping order of first occurrence. Options for case-insensitive and trim.
Lists Intersection
Return only the elements common to two or more lists. Optional alphabetic sort on output.
Lists Difference (A − B)
Show items in list A not present in list B. Ideal for spotting missing entries, absent records or unique emails.
Count List Occurrences
Count how many times each item appears in a list and sort by most frequent. Useful for quick analysis of logs or responses.
Sort List Alphabetically
Sort lines alphabetically (A-Z or Z-A) using Intl.Collator with configurable sensitivity and accent support.
Sort List Numerically
Sort numeric values (integers and decimals) ascending or descending. Ignores non-numeric lines.
Shuffle List (Fisher-Yates)
Shuffle lines using the Fisher-Yates algorithm with a cryptographic source (crypto.getRandomValues). Truly random output.
Pick One From List
Randomly pick one single item from a list. Each click reshuffles. Useful for quick raffles and decisions.
Pick N From List (no repeats)
Pick N distinct items from a list, no repeats. Output ordered by draw (not alphabetically).
Balanced Teams Generator
Distribute N people into K teams of balanced size, shuffled beforehand. Ideal for casual football, group dynamics and pair work.
Random Pair Generator
Form random pairs from a list. Marks the odd one out for trio assignment. Useful for hackathons, ice-breakers and secret santa.
Player Order Generator
Define the random order of players for a board game, video game or presentation. Reroll with 1 click.
Online Stopwatch
Stopwatch with millisecond precision, start, pause, reset and lap buttons. Runs entirely in your browser.
Click Counter
Click counter with +1, -1 and reset buttons. Ideal for inventory, attendance, plates served or quick stats.
Browser FPS Meter
Measure browser frames per second via requestAnimationFrame. Shows instant, average and min FPS over the last 5s.
Reading vs Listening Time
Compute how long a text takes to read (200 wpm) and to listen to as narration (150 wpm), with 1x/1.5x/2x playback options.
Equal Bill Splitter
Split a total bill equally between N people, optional service fee (10%), exact cent rounding.
Restaurant Bill Itemized
Each person picks the items they consumed; the system sums values, applies proportional service fee and shows each person's share.
Tip and Split Calculator
Compute tip (custom %), add to bill and split among N people. Shows per-person value before and after the tip.
Optimal Change Calculator
Given an amount in BRL, show the minimum combination of bills (200, 100, 50, 20, 10, 5, 2) and coins (1, 0.50, 0.25, 0.10, 0.05, 0.01) for change.
Date to Relative Time
Convert a date to relative text like "3 hours ago", "in 2 days", "5 months ago" using Intl.RelativeTimeFormat.
ISO 8601 Formatter
Show the current date in every ISO 8601 form: full date, week date, ordinal, timezoned and UTC. Export with one click.
Side-by-Side Text Diff
Compare two texts in two columns, highlighting added, removed and modified lines. Visual diff based on a simplified Myers algorithm.
Text Similarity (%)
Compute percent similarity between two texts using normalized Levenshtein distance. Useful for soft plagiarism detection.
Compare HTML by Text Content
Extract only the visible text from two HTML fragments (ignoring tags and attributes) and compare for semantic changes.
Compare JSON Keys
List keys present only in JSON A, only in B and in both. Works with nested objects (dot-notation path).
Compare YAML Keys
Same as the JSON key comparator but takes simple YAML (2-space indent, no anchors). Useful for config diffs.
wc Online (lines, words, bytes)
Count lines, words, characters and bytes (UTF-8) of a text or file, similar to Unix wc command.
String Byte Counter (UTF-8/16)
Show how many bytes a string takes in UTF-8, UTF-16 and ASCII. Useful for SMS, DB and API limits.
BOM Detector
Check whether an uploaded file starts with a Byte Order Mark (UTF-8, UTF-16-LE, UTF-16-BE, UTF-32). Useful for encoding issues.
Line Ending Detector (LF/CRLF/CR)
Detect whether a text uses LF (Unix), CRLF (Windows) or CR (classic Mac), and how many of each appear.
Line Ending Converter
Convert text to LF, CRLF or CR (Unix/Windows/classic Mac). Useful before Git commits and cross-platform exports.
Strip BOM
Remove the Byte Order Mark (\uFEFF) from pasted text. Fixes common issues with Excel-generated CSVs.
Trim Each Line
Apply .trim() to each line, removing leading/trailing spaces. Option to also drop resulting empty lines.
Right Trim Lines
Remove only trailing spaces on each line (rtrim). Useful for cleaning log output and code before commits.
Left Trim Lines
Remove only leading spaces on each line (ltrim). Useful for clearing extra indent pasted from emails or PDFs.
Tweet Char Counter (280)
Count characters with Twitter/X rules: emojis and URLs (shortened to 23 chars). Shows remaining out of 280.
Bluesky Char Counter (300)
Count characters for a Bluesky post (limit 300, no URL shortening rule). Shows visual count with alert color.
SEO Meta Char Counter
Char counter for title (SEO 60-char limit) and meta description (160-char limit) with color indicator (green/yellow/red).
ASCII Printable Table (32-126)
Show the table of printable ASCII characters (32 to 126) with decimal, hex, octal, binary and the character. Search filter.
Unicode Block Table
View a Unicode block (Basic Latin, Greek, Cyrillic, Arabic, CJK Symbols, Emoticons...) with each glyph and U+XXXX code.
ISO-8859-1 (Latin-1) Table
Show ISO-8859-1 (Latin-1) characters with decimal, hex and glyph. Useful to understand legacy western encoding.
Windows-1252 (CP1252) Table
View Windows-1252 encoding characters, highlighting differences from ISO-8859-1 (0x80-0x9F range).
uuencode Encoder/Decoder
Encode and decode text in uuencode, classic format used in 1980s Unix emails. Each 3 bytes becomes 4 ASCII chars.
xxencode Encoder
uuencode variant using only alphanumerics and '+/=', created to avoid EBCDIC filter issues.
yEnc Demo
Demonstrate the yEnc encoding used in Usenet binary posts. Adds 42 to each byte, escaping reserved chars. More efficient than uuencode.
Cron → Natural Language
Translate cron expressions (* * * * *) into Portuguese natural language. Ex: '0 0 * * 1' = 'Every Monday at midnight'.
Natural Language → Cron
Build a cron expression from Portuguese selectors (every X minutes, every workday at H, Monday at H:M). Rule-based, no AI.
Multi-Timezone Converter
Show the same moment in 4 selectable timezones simultaneously (São Paulo, Lisbon, New York, Tokyo, etc). Ideal for scheduling cross-time-zone meetings.
DST (Daylight Saving) Detector
Tell whether a country/region currently uses daylight saving, with start/end month. Updated list of countries that abolished it.
Base85 / ASCII85 Encoder
Encode text in ASCII85 (Adobe/btoa) using 85 printable characters. Denser than Base64: every 4 bytes becomes 5 ASCII characters.
Base91 Encoder
Encode text in Base91, more efficient than Base64 (each byte pair becomes 1-2 chars). Uses 91 safe printable ASCII characters.
Base32 Encode/Decode
Converts text between Base32 (RFC 4648) and UTF-8, useful for TOTP tokens and compatible files.
Base58 Bitcoin Encoder
Encodes and decodes bytes in Base58 using the Bitcoin alphabet (no 0, O, I, l).
Base62 for URL Shorteners
Encodes an integer to Base62 (0-9A-Za-z) — handy for URL shorteners and short IDs.
Hex to RGB Tone Variant
Converts hex to RGB and yields a lighter/darker tone variant for UI states.
Monochromatic Palette
Generates a 5-shade monochromatic palette (lighter and darker) from a base hex color.
Complementary Palette
Generates the complementary color pair (opposite on the color wheel) from a base hex color.
Triadic Palette
Generates a triadic palette (3 colors spaced at 120 deg on the color wheel) from a base color.
Analogous Palette
Generates an analogous palette (neighbor colors at +/- 30 deg) from a base color.
Tetradic (Rectangle) Palette
Generates a rectangular tetradic palette (4 colors forming a rectangle on the wheel).
ASCII Art Text (Block Style)
Turns short text into ASCII art using a simple set of block-style glyphs (5x5).
ASCII Banner Block with Frame
Wraps text in an ASCII banner with a # frame — handy for READMEs, MOTDs or log headers.
JSON Comparator with Key Diff
Compares two JSONs and lists keys only in A, only in B and with differing values — handy for config diffs.
JWT Claims Format Validator
Validates the format of RFC 7519 claims (iss, sub, aud, exp, nbf, iat, jti) — does not verify signature.
Deep Merge of JSON Objects
Performs recursive merge of two JSONs — B overrides A at leaves, arrays are replaced (not concatenated).
Unicode Invisible Character Detector
Finds zero-width, BOM, BiDi marks and other invisible characters in pasted text — useful for security auditing.
BiDi Explainer (LTR vs RTL)
Shows how RTL characters (Arabic/Hebrew) and BiDi marks change the visual order of mixed LTR/RTL text.
NFC vs NFD Comparator
Shows differences between Unicode normalization forms (NFC, NFD, NFKC, NFKD) on accented text.
Unicode Character Name Lookup
Searches a character by part of its official Unicode name (e.g., 'snowman', 'beta') and returns codepoint and glyph.
Unicode Block Identifier
Takes a character or codepoint and identifies its Unicode block (Basic Latin, Devanagari, Hiragana, etc.).
Emoji ZWJ Sequence Builder
Combines base emojis via Zero-Width Joiner (ZWJ) to create family, profession and skin-tone variations.
Emoji Skin Tone Modifier
Applies Fitzpatrick modifiers (5 tones) to supported emojis — previews each variation side by side.
Unicode Confusables Detector
Detects Latin characters visually identical to Cyrillic/Greek (homoglyphs) — useful for spotting phishing.
Unicode Codepoints to CSV
Converts text into a CSV list with codepoint, name, block and category of each character — export for analysis.
Unicode Script Detector
Identifies which scripts (Latin, Cyrillic, Greek, Han, etc.) make up a text and shows percentage distribution.
Interactive Circle of Fifths
Visualizes the circle of fifths and plays the I-IV-V triad of the selected key via Web Audio.
Guitar Tuner by Ear
Plays each of the 6 guitar strings (EADGBE) at exact frequencies for tuning by ear.
Metronome with Tap Tempo
Detects BPM by tapping and plays precise clicks via Web Audio.
Piano Chord Generator
Generates chord notes (major/minor/sus/dim/seventh) and plays via Web Audio with visualization.
Microphone Pitch Detector
Detects the fundamental frequency from microphone audio and identifies the closest musical note.
Binaural Beats Generator
Plays two slightly different frequencies in each stereo channel for binaural beats.
White/Pink/Brown Noise Generator
Generates white, pink and brown noise via Web Audio for sleep, focus and audio testing.
Microphone Oscilloscope
Shows real-time waveform of the microphone via Canvas for inspecting audio signal.
Microphone Spectrogram
Shows real-time spectrogram of the microphone (frequency over time) for musicians.
16-Step Drum Sequencer
Basic drum sequencer with 16 steps and 4 tracks (kick, snare, hat, clap) in loop.
Kids Clothing Size Chart
Converts kids clothing sizes between BR, US, UK and EU by age and height — quick comparator for parents.
International Shoe Size Chart
Converts shoe sizes between BR, US, UK, EU and JP for adult, kids, men and women.
Ring Size Calculator
Converts ring sizes between BR, US, UK and EU using finger circumference measured in mm.
Multi Timezone Meeting Planner
Shows business-hour overlap (9–18h) across 3 different timezones — helps schedule international meetings.
International Travel Checklist
Generates a personalized international travel checklist (passport, vaccines, adapter, credit card) by destination and length.
Plug Adapter by Country
Shows which plug type and voltage is used in the selected country — vital for international travelers.
Country Phone Code Lookup
Finds the international dialing code (DDI) and expected local number format for any country.
Emergency Numbers by Country
Shows emergency numbers (police, ambulance, fire) in the selected country — useful info for travelers.
Tipping by Country
Shows expected tip percentage and cultural norm for restaurants and taxis in each country.
Walking Time by Distance
Estimates walking time for a distance in km using average speed (5 km/h) adjusted by age.
Dyslexia Reading Simulator
Renders pasted text with a dyslexia friendly font and increased letter and word spacing to raise awareness among designers.
Low Vision Simulator
Applies CSS blur, brightness and contrast filters to text or color samples to simulate cataract, glaucoma and contrast loss conditions.
RSVP Speed Reader
Displays text word by word at the same on-screen position at adjustable WPM speed to train ultra fast reading with Rapid Serial Visual Presentation.
Bionic Reading Converter
Applies Bionic Reading formatting bolding the first half of each word to help visual focus and faster reading.
Portuguese Text To Speech
Uses the browser Speech Synthesis API to read Brazilian Portuguese text with adjustable rate and pitch and selectable voice.
Portuguese Voice Dictation
Transcribes Portuguese speech with the browser Web Speech API providing fully local dictation without audio upload.
Protanopia Palette Converter
Takes a hexadecimal color and simulates how it appears to a person with protanopia (red deficient) for design palette review.
200% Zoom Page Preview
Shows a preview of pasted HTML at 200% zoom to verify the WCAG 1.4.4 success criterion that requires usability up to this magnification.
Keyboard Focus Trace
Paste HTML and visualize the Tab focus order by numbering each focusable element according to tabindex and DOM position.
Read Aloud Time Estimator
Estimates how long a text takes to be read aloud using a configurable speed between 100 and 200 words per minute.
RGB Color Mixer
Mixes two RGB colors at a configurable ratio (0-100%) and shows the intermediate result in real time.
Darken / Lighten Color by %
Applies darken/lighten to a color by a configurable percentage using HSL — handy for hover states.
Blackbody Color by Temperature
Converts temperature in Kelvin (1000-12000K) to approximate RGB color — circadian and lighting work.
Tailwind 50-900 Palette Builder
Generates a 50-900 scale from a base color following the Tailwind pattern (controlled lightness curve).
Google Maps Link Builder
Builds Google Maps URLs by address, coordinates, multi-stop route and travel mode (driving, walking, transit).
Telegram Link Builder
Creates t.me links for profiles, groups, channels, bots and pre-filled messages (?text=) with destination preview.
SMS Link Builder for Mobile (iOS/Android)
Generates sms: links with number and pre-filled body that open the native SMS app on iOS/Android, picking the correct separator per platform.
Add to Calendar Link Generator
Generates all 4 add-to-calendar links (Google Calendar, Outlook Live, Yahoo, .ics) from the same form with timezone support.
UUID v5 Generator
Generates deterministic v5 UUIDs from a namespace (DNS, URL, OID, X.500) and name — reproducible IDs for stable keys.
ZIP Content Viewer
List files inside a .zip without extracting — see name, size, date. 100% local; nothing leaves your browser. Filter and preview text.
TAR/TAR.GZ Content Viewer
Inspect contents of .tar and .tar.gz archives in your browser, listing files, sizes and permissions without extracting.
EXIF Metadata Remover
Strip EXIF, GPS and IPTC metadata from JPG/PNG photos locally, protecting your privacy before sharing. Nothing leaves your browser.
Iframe Sandbox Builder
Build an <iframe> with sandbox, allow, loading=lazy and referrer-policy attributes explained, with code preview ready for safe embedding.
Keyboard Shortcut HTML Generator
Capture pressed key combinations and generate semantic HTML with nested kbd tags (Ctrl+Shift+P) for documentation and blogs.
Unicode Block Explorer
List Unicode blocks (Basic Latin, Cyrillic, CJK, etc.) with code points, sample characters and category — useful for discovering glyphs.
CSS Named Color ↔ Hex Converter
Convert between official CSS color names (148 names like `rebeccapurple`) and their hexadecimal values.
Typed Random MAC Generator
Generate a random MAC address tweaking U/L (locally administered) and I/G (multicast) bits — useful for network testing and Wi-Fi spoofing.
BBCode to HTML Converter
Convert BBCode tags [b], [i], [url], [img], [quote], [code] into equivalent HTML — useful for legacy forums.
iCal (.ics) File Parser
Read a local .ics file and display events (SUMMARY, DTSTART, DTEND, LOCATION) in a friendly table.
DNS Lookup (DoH)
Query A, AAAA, MX, TXT, NS, CNAME, SOA, SRV records of any domain via DoH (Cloudflare/Google) right from your browser.
WHOIS Lookup (RDAP)
Query WHOIS data (registrar, creation/expiration dates, nameservers, contacts) of any domain via RDAP as JSON.
IP Geolocation
Paste an IPv4 or IPv6 address and see country, region, city, ISP, ASN and timezone via free public API.
Image Dominant Color Extractor
Load a local image and get the dominant color and top 5 colors in hex/RGB with coverage percentage, useful for branding.
PDF Metadata Extractor
Load a local PDF and view title, author, creator, date, page count, encryption, embedded fonts and full XMP without upload.
ASN.1 OID Lookup Database
Look up ASN.1 OIDs by number (e.g. 1.3.6.1.2.1) or name in an offline 5k+ entry database (X.500, LDAP, SNMP, PKCS, certs).
BCP 47 Language Tag Validator
Validate BCP 47 language tags (`en-US`, `pt-BR-x-private`, `zh-Hant-HK`) against the IANA Subtag Registry. Shows each subtag explained.
ASCII Art Folder Tree (Emoji)
Visualize directory structures with themed emojis or Unicode box-drawing. Paste indentation or JSON and copy ready.
Full mailto: Link Builder
Build complete `mailto:` links with multiple recipients, CC, BCC, subject and encoded multiline body. Preview before copying.
IBAN + BIC Pair Generator
Generate a compatible IBAN+BIC pair for a chosen country to populate test forms. Includes valid MOD-97. Do not use in production.
Visual Image Diff with Slider
Upload two images and compare side-by-side with a draggable slider or overlay. Detects pixel-level differences and computes SSIM/PSNR.
SSL Certificate Fingerprint Multi-Hash
Paste a PEM/DER certificate and generate SHA-1, SHA-256 and SHA-512 fingerprints of the DER, matching `openssl x509 -fingerprint`.
BLAKE2 Hash Generator
Generate BLAKE2b (up to 64 bytes) and BLAKE2s (up to 32 bytes) hashes of text or files, with customizable output length.
SHA-3 and Keccak Hash (Ethereum)
Compute SHA-3 (224/256/384/512) and Keccak (256, used in Ethereum) of any string or file. Fully in-browser.
Audio Waveform Generator
Load an MP3/WAV/FLAC file and generate the waveform as PNG/SVG. Customize color, background and style (bars or lines).
CSS color-mix() Builder
Build CSS color-mix() declarations between two colors across color-spaces (srgb, oklch, lab) with a live preview.
CSS conic-gradient Mixer
Combine overlaid conic-gradient and linear-gradient with blend modes, generating CSS you can paste directly.
ID3 Tag Viewer (MP3)
Read ID3v1/ID3v2 tags from MP3 files (title, artist, album, year, genre, cover) locally in the browser.
PDF Metadata Viewer
Extract metadata (author, creator, date, version, pages, encrypted?) from a PDF without uploading — browser only.
EPUB Metadata Viewer
Read the opf of an EPUB file and show title, author, ISBN, language, table of contents and chapter count locally.
URL Tracker Cleaner
Remove tracking parameters (utm_*, gclid, fbclid, mc_cid, igshid, _ga, ref) from URLs to share clean links.
Bytes Humanizer (SI/IEC)
Convert bytes to human readable format in SI decimal (kB/MB) and IEC binary (KiB/MiB) side by side.
Duration Humanizer (PT-BR)
Convert ms/seconds to human duration in PT-BR (2 hours, 5 minutes, 3 seconds) with compact/long/relative modes.
Palette Extractor with WCAG Contrast
Extract dominant palette (up to 8 colors) from a pasted/file image, with approximate CSS name and WCAG contrast.
Microphone FFT Spectrum Analyzer
Analyze microphone frequency spectrum in real time with FFT, bar visualization, peak hold, and PNG export.
iCalendar RRULE to Natural Text
Translates complex iCalendar RRULE recurrence rules into readable descriptions like every Monday and Wednesday at 9am for 5 occurrences.
Cron Natural Explainer PT-BR
Takes a crontab expression and returns a human description with next 5 executions, supporting Linux, AWS, Quartz and Spring syntaxes.
YouTube Video ID Extractor
Extracts the video ID from any YouTube URL format (watch, embed, shorts, youtu.be) and generates embed, thumbnail and share links.
YouTube Thumbnail Puller
From a YouTube video link or ID, downloads the 4 thumbnail versions (default, mqdefault, hqdefault, maxresdefault) ready for download.
Vimeo ID Extractor + Embed
Extracts the Vimeo video ID from any URL and generates iframe embed code, with autoplay, loop, controls and color options.
Image Checkerboard Alpha Overlay
Overlays a Photoshop-style checkerboard background on PNG/SVG with transparency to visualize the real alpha channel.
PDF Page Range Extractor
Extracts a range of pages from a PDF and generates a new PDF file, preserving original orientation and size.
PDF Page Rotator
Rotates specific or all pages by 90/180/270 degrees inside a PDF while preserving content.
IBAN Mask
Masks an IBAN showing only country code, check digits, and last 4 digits (BR**00...1234) for safe logs.
Image Horizontal Flip
Mirrors a JPG/PNG image on the horizontal axis via canvas and offers download of the result as PNG.
CORS Rules Builder
Build CORS headers (Access-Control-*) with lists of origins, methods, headers, credentials and max-age, and generate snippets for Express, Nginx and Apache.
CSV Shuffle (Fisher-Yates)
Shuffle CSV rows with Fisher-Yates preserving the header, with a custom seed for reproducibility in A/B testing and samples.
Flag Emoji and ISO 3166 Converter
Convert ISO 3166-1 alpha-2 country codes (BR, US, JP) to flag emoji using regional indicator symbols and vice versa.
Display P3 and sRGB Converter
Convert colors between Display P3 (Apple/iPhone) and sRGB with out-of-gamut warnings and perceptual or hue-preserving gamut mapping.
WAI-ARIA Roles Builder
Pick a WAI-ARIA pattern (menu, dialog, tabs, tree, combobox) and get HTML with roles, aria-* and validated keyboard attributes.
IPA Symbol Search
Search IPA symbols by PT description (voiceless bilabial stop, alveolar fricative) and view sample words containing each sound.
Multibase (Multiformat) Detector
Automatically identify the Multibase encoding (base16/base32/base58btc/base64) by prefix character, per IPFS spec.
Maidenhead Grid Locator (Ham Radio)
Convert geographic coordinates to Maidenhead Grid Square (e.g. GG87gx) used by ham radio operators, precision 4/6/8 chars.
CSS4 Named Color Explorer
Browse the 147 named colors of CSS Color Module 4 with hex, RGB, HSL, OKLCH and similar colors sorted by CIELAB distance.
CSS Specificity Comparator (Batch)
Compare multiple CSS selectors side by side and compute (a,b,c) specificity per CSS Selectors 4 spec, highlighting the winner.
BPM Tap Delay/Reverb Calculator
Tap rhythm on screen or keyboard to detect BPM and get delay/reverb times (1/4, 1/8 D, 1/16, etc.) automatically.
LUFS Platform Target Checker
Interactive table: enter your integrated LUFS and see the gain adjustment needed for Spotify (-14), Apple (-16), YouTube (-14), Tidal (-14).
3D Print Cost Estimator (Brazil)
Estimate the total cost of a 3D print in BRL: filament, electricity (kWh/h), wear, failures and margin. Configurable per printer.
Emoji ZWJ Decoder/Explainer
Paste a compound emoji and see each component, codepoints, ZWJ separators and description. Inverse of the builder tool.
ARIA Tab Order Visualizer
Paste HTML and see numbered visual Tab order, warnings for problematic tabindex greater than 0 and elements without aria-label.
UNIX umask Calculator
Convert between umask (3-4 octal digits) and resulting permissions for files (666 base) and directories (777 base). Includes symbolic notation.
Magnet Link Builder
Build magnet: URIs from infohash (btih v1/v2), dn (name), xl (size), multiple trackers (tr=) and webseeds (ws=). BEP 9/53 standard.
Conservative HTML Minifier
Minify HTML by removing comments, collapsing whitespace between tags and dropping empty attributes — while preserving <pre>, <textarea> and <script>.
UUID v7 Timestamp Extractor
Parse a UUID v7 and extract the Unix timestamp embedded in the high 48 bits (RFC 9562). Useful for debugging time-ordered keys.
ULID Timestamp Extractor
Decode the 10-char Crockford Base32 prefix of a ULID and show the millisecond timestamp and random part.
Julian Date Heliocentric Correction (HJD)
Convert geocentric JD to HJD (Heliocentric Julian Date) given target RA/Dec. Used by amateur astronomers in variable-star photometry.
Airport ICAO/IATA Timezone Lookup
Given an ICAO or IATA airport code, returns IANA timezone, coords and elevation. Embedded dataset of ~500 major airports.
Image to Emoji Mosaic Art
Upload an image and map each block to a colored emoji (red, green, blue, etc.) generating a copy-pasteable mosaic for Discord/Slack.
Shannon Entropy Calculator (String)
Computes Shannon entropy (bits/symbol, total bits) of a string. Shows character histogram, alphabet size and estimated brute-force keyspace.
Byte Frequency Histogram
Paste text, hex or base64 and see the frequency histogram of all 256 byte values. Shows top-10 and bits/byte entropy. Useful for forensics.
tel: URI Builder (RFC 3966)
Builds tel: URI with country, area code, extension (RFC 3966) with optional QR Code for one-tap calls.
sms: URI Builder (RFC 5724)
Creates sms: URI with pre-filled number and body (RFC 5724) — useful for click-to-SMS buttons on websites.
User-Agent String Builder
Builds a User-Agent string combining browser, version, OS and device — for scraping tests and debugging.
IPv4 Decimal/Binary/Hex Converter
Converts IPv4 between dotted-decimal, single decimal (inet_aton), binary and hex — useful for firewall configs.
CSS Color Name Finder (CIE76)
Takes a hex value and returns the closest CSS named color (148 colors) plus CIE76 distance for edge cases without exact names.
Linux /etc/fstab Line Builder
Build a complete Linux /etc/fstab line: device (UUID/LABEL/path), mountpoint, filesystem (ext4/xfs/btrfs/vfat/swap/nfs/cifs), options (defaults,noatime,etc) and dump/fsck fields. Warns about noauto and nofail.
Linux Capabilities (cap_*) Explainer
Paste a capabilities string (e.g. 'cap_net_bind_service,cap_chown=+ep' or hex bitmap 0x000000000a000000) and see the expanded list with a description for each (cap_net_admin, cap_sys_admin, cap_dac_override, etc). Covers 41 Linux kernel capabilities.
ANSI Escape Code Explainer
Paste a string with ANSI sequences (CSI ESC[…m) and see each SGR code decoded: foreground/background color (8/16/256/RGB), bold, italic, underline, reverse, reset. Includes visual preview.
PGP ASCII Armor Wrapper (RFC 4880)
Wrap text or bytes into a PGP ASCII Armor block with CRC-24 computed per RFC 4880 §6. Supports MESSAGE, SIGNATURE, PUBLIC/PRIVATE KEY BLOCK. Also unwraps with checksum verification.
ISO 3166-1 Country Code Lookup (alpha-2/alpha-3/numeric)
Identify a country by alpha-2 (BR), alpha-3 (BRA), numeric (076) or English/Portuguese name. Returns all equivalent formats. Covers 140+ countries commonly used in forms and APIs.
Chess FEN Parser (Forsyth-Edwards)
Paste a FEN string and see the 6 fields decoded: piece placement (rendered as ASCII), active color (white/black), castling rights (KQkq), en passant target square, halfmove clock and fullmove number. Validates each rank and ensures exactly one king of each color.
🔐 Security
Password Generator
Generate strong, random passwords with custom length, uppercase letters, numbers and symbols. Generated in the browser — no data leaves your device.
Encrypt Text
Apply classic ciphers (Caesar, ROT13, Atbash) or Base64. Useful for puzzles, CTFs and testing — do not use for real security.
Password Strength Checker
Check the strength of a password with entropy calculation, common-password check and improvement tips. Runs in your browser — no data is sent.
Password Strength Checker
Analyze the strength of any password: length, character classes, entropy in bits and resistance estimate. Processed in the browser — the password never leaves your device.
SQL Escape
Escape SQL strings by adding backslashes to single quotes and other special characters to prevent SQL injection.
Passphrase Generator
Generate strong, memorable passphrases made of random words. Easy to remember and hard to guess.
HMAC Generator
Generate HMACs (Hash-based Message Authentication Codes) with MD5, SHA-1, SHA-256, SHA-384, SHA-512 and SHA-3 algorithms.
Bcrypt Hash Generator
Generate secure bcrypt hashes from passwords and verify whether a password matches an existing bcrypt hash.
TOTP Code Generator (2FA)
Generate TOTP (Time-based One-Time Password) codes from a base32 secret, just like Google Authenticator. Useful for testing 2FA integrations without a phone.
File Hash (Checksum)
Calculate MD5, SHA-1, SHA-256, SHA-384 and SHA-512 of a file or text all at once. Perfect for verifying download integrity. Processed in your browser — no upload.
RSA Key Pair Generator
Generate RSA key pairs (public and private) of 2048 or 4096 bits directly in your browser. Useful for SSH, JWT, asymmetric encryption and certificates. No data sent to servers.
ROT13 Cipher
Apply the ROT13 cipher (rotate by 13 letters) to text. Applying twice returns the original. Used in forums to hide spoilers. Only A–Z and a–z are affected. Everything in your browser.
ROT47 Cipher
Apply the ROT47 cipher (rotation across 47 printable ASCII chars 33–126). Wider than ROT13: covers numbers and symbols. Applying twice returns the original. Everything in your browser.
Atbash Cipher
Apply the Atbash cipher (A↔Z, B↔Y, C↔X...): each letter is mirrored in the alphabet. Ancient Hebrew cipher used in the Bible. Applying twice returns the original. Everything in your browser.
Vigenère Cipher
Encrypt and decrypt text with the polyalphabetic Vigenère cipher using a keyword. More robust than Caesar by using multiple shifts. Everything in your browser.
BIP39 Mnemonic Generator
Generate BIP39 mnemonics of 12, 15, 18, 21 or 24 words (Bitcoin/Ethereum wallet standard). Words come from the official 2048-word list. Useful to test wallets. Everything in your browser.
JWT Builder (HS256)
Build a JWT by filling in header, payload and secret. HS256 signature computed in the browser via SubtleCrypto.
CORS Headers Generator
Preview the CORS headers (Access-Control-Allow-Origin, -Methods, -Headers, -Credentials, -Max-Age) generated from a form.
SRI Hash Generator
Compute the integrity attribute (Subresource Integrity) sha256/sha384/sha512 of pasted content, in base64 ready to drop in the attribute.
Content-Security-Policy Builder
Build a Content-Security-Policy header by adding directives (default-src, script-src, img-src, frame-ancestors) with predefined sources.
HIBP K-Anonymity Format
Explains the Have I Been Pwned k-anonymity flow: SHA-1 password, first 5 chars on GET, suffix returned.
Secure Token Generator
Generates cryptographically secure tokens (alphanumeric, hex, base64) using the browser crypto API.
CORS Config Validator
Validates a CORS string (origins separated by comma, or *) checking format and absence of duplicates.
Mixed Content Detector
Scans http:// references inside HTML served over HTTPS, flagging insecure assets and links.
Basic CSP Evaluator
Evaluates a Content-Security-Policy directive reporting unsafe-inline, unsafe-eval or wildcard issues.
HSTS Header Builder
Builds the Strict-Transport-Security header with max-age, includeSubDomains and preload as selected.
Referrer-Policy Builder
Builds the Referrer-Policy header from a standard value (strict-origin, no-referrer, etc.).
Permissions-Policy Builder
Builds the Permissions-Policy header from a list of feature=allowlist entries (e.g. geolocation=()).
COOP / COEP Headers Builder
Generates the Cross-Origin-Opener-Policy and Cross-Origin-Embedder-Policy headers for cross-origin isolation.
JWT Secret Strength
Measures the strength of an HMAC JWT secret: byte length, approximate entropy and rating.
Cifra Rail Fence
Codifica texto pela cifra Rail Fence (zigzag) com N trilhos.
Cifra Polybius Square
Codifica letras em pares de dígitos pela tabela Polybius 5×5 (I=J).
Cifra Beaufort
Cifra Beaufort (variante simétrica da Vigenère).
Cifra Trifid
Cifra Trifid (Felix Delastelle) — codifica letras em triplas de 1-3.
Cifra ADFGVX (substituição)
Substitui cada letra pelo par ADFGVX correspondente em uma matriz 6×6.
Cifra Nihilist
Cifra Nihilist com chave numérica somada às coordenadas Polybius.
Cifra Four-Square
Implementação simplificada da cifra Four-Square usando duas chaves.
Cifra Vernam (One-Time Pad)
Cifra Vernam XOR byte-a-byte com chave de mesmo tamanho. Saída hex.
Cifra Bifid (com chave)
Implementação Bifid 5×5 com chave configurável.
Cifra Affine (a,b)
Cifra Affine: E(x)=(a·x+b) mod 26. a deve ser coprimo a 26.
HSTS Header Builder
Monta o header Strict-Transport-Security a partir das opções.
Public-Key-Pins (Deprecated)
Informa o status do header HPKP (deprecated em 2018) e mostra alternativas modernas.
Cifra de Vigenère com Auto-key
Cifra de Vigenère com chave estendida pelo próprio texto claro (auto-key clássico).
Cifra de Transposição Colunar
Cifra clássica de transposição colunar usando chave alfabética para ordenar colunas.
Caesar — Todos os 25 Shifts
Mostra texto cifrado para todos os shifts de César (1 a 25) — útil para quebra rápida.
Atbash — Decode Explicado
Decodifica Atbash mostrando o mapa A↔Z, B↔Y, e o resultado.
Cifra Baconiana — A/B 5 bits
Codifica em Bacon mostrando cada letra como 5 letras A/B (esteganografia clássica).
Bacon Cipher
Encode and decode text using the Bacon cipher (5-letter A/B binary substitution). Includes original 24-letter and modern 26-letter variants.
Polybius Cipher
Encode text with the Polybius cipher (5x5 square, I/J merged). Each letter becomes a row/column digit pair. Useful for puzzles and classical cryptography.
A1Z26 Cipher
Convert text to numbers using A=1, Z=26 (and back, hyphen-separated). Simple cipher popular in geocaching, escape rooms and logic puzzles.
Affine Cipher
Encode text with the Affine cipher using E(x) = (a·x + b) mod 26. Here uses a=5, b=8 (coprime with 26). Combines multiplicative and additive substitution.
Rail Fence Cipher
Zig-zag transposition cipher (3 rails by default). Reads the text diagonally, reordering letters in columns. Classical transposition cipher.
Keyword Cipher
Create a cipher alphabet from a keyword (KEYWORD), followed by remaining alphabet letters. Classical monoalphabetic substitution cipher.
Trithemius Cipher
Polyalphabetic cipher where letter n is shifted by n positions (similar to Vigenère with key ABCDEF…). Invented by Johannes Trithemius in the 16th century.
Summarize CIDR Blocks to Supernet
Aggregate multiple IPv4 CIDR blocks into the smallest supernet that contains them all — free online tool for network admins.
Overlapping CIDR Detector
Detect overlapping or duplicate CIDR blocks in a list — useful for firewall reviews, AWS Security Groups and ACLs.
Split CIDR into N Equal Subnets
Split a CIDR block into N equal-sized subnets — a one-page visual VLSM calculator.
Convert IP Range to CIDR List
Convert a start-end IP range (e.g. 10.0.0.1-10.0.5.255) into the smallest equivalent CIDR list.
IPv6 CIDR Visual Explainer
Explain an IPv6 prefix visually: hex breakdown, address count, expanded/compressed range — quick reference for SREs.
ASN Format Validator
Validate 2-byte and 4-byte ASN format (AS plain and dot notation), including reserved/private ranges — for BGP networks.
Port Knocking Sequence Generator
Generate a random TCP/UDP port sequence for port knocking — a client-side utility to configure knockd or similar.
SPF Record Builder
Build an SPF record step by step (ip4, ip6, include, mx, a, ~all, -all) with verification of the 10 DNS lookup limit.
DMARC Record Builder
Create a DMARC record with policy (none/quarantine/reject), percentage, ruf/rua mailto and SPF/DKIM alignment.
DKIM Selector Validator
Validate DKIM selector format and build the TXT record name (selector._domainkey.domain.com) for DNS.
Cookie __Secure-/__Host- Prefix Validator
Validate Set-Cookie headers against __Secure- and __Host- prefix rules from RFC 6265bis (Secure, Domain, Path).
Secure CSP Nonce Generator
Generate a 128-bit base64 random nonce for Content-Security-Policy with sample header and <script nonce> attribute.
CSP Hash Generator for Inline Scripts
Compute SHA-256/384/512 base64 hash of inline scripts for Content-Security-Policy without using nonces.
Clear-Site-Data Header Builder
Build a Clear-Site-Data header (cache, cookies, storage, executionContexts) — useful on logout to wipe origin data.
Cache-Control Security Check
Analyse Cache-Control and warn when sensitive content may be cached by proxies (missing no-store, private, etc.).
X-Content-Type-Options Header Check
Confirm X-Content-Type-Options is set to nosniff and explain MIME-sniffing risks when the header is missing.
X-Frame-Options vs frame-ancestors Compare
Compare X-Frame-Options with the CSP frame-ancestors directive and detect conflicts or redundancy for clickjacking.
CORS Preflight Explainer
Given a CORS request method and headers, shows whether it triggers an OPTIONS preflight and explains why.
Trusted Types Policy Builder
Generate CSP require-trusted-types-for and trusted-types directives with policy names — a modern anti-XSS mitigation.
Network Error Logging (NEL) Builder
Build NEL and Report-To headers to send network error reports to your own endpoint with sampling fractions.
Playfair Cipher Step by Step
Encrypt/decrypt with Playfair showing the 5×5 matrix, letter pairs and the rule applied to each digram.
Hill Cipher 2×2
Encrypt text with a 2×2 matrix mod 26 (Hill cipher) — algebraic explanation and key invertibility check.
Monoalphabetic Substitution Cipher
Encrypt/decrypt with a custom A-Z substitution key and show letter frequencies for didactic analysis.
Frequency Analysis to Break Ciphers
Count letter, bigram and trigram frequencies in ciphertext and compare with Portuguese/English references.
Kasiski Test for Vigenère
Find repeated trigrams in ciphertext, compute GCD of distances and suggest the Vigenère key length.
Index of Coincidence Calculator
Compute Index of Coincidence (IC) of ciphertext to distinguish mono/polyalphabetic ciphers — classic cryptanalysis tool.
Custom Polybius Square
Build a 5×5 Polybius square with a key letter and encrypt/decrypt messages using numeric coordinates.
Pigpen (Masonic) Cipher
Encrypt text using the Pigpen cipher (Masonic) rendering the matching symbols.
Tap Code (Prison) Cipher
Convert text to pairs of taps (5×5 prison tap code) and back — visual representation included.
Interactive Alberti Cipher Disk
Alberti cipher disk with two rotating rings — rotate the inner ring and encrypt/decrypt letter by letter.
Diceware Passphrase Generator
Generates a Diceware-style passphrase from a 7776-word list and shows entropy in bits.
Common Password Blacklist Check
Checks a password against the top 1000 most-used passwords, fully client-side, and flags it as compromised.
Password Crack Time Estimator
Estimates time to crack a password under online, offline and GPU attack scenarios using zxcvbn-like heuristics.
TOTP otpauth URI Builder
Builds an otpauth://totp/ URI with issuer, account, base32 secret, digits and period for QR code apps.
TOTP vs HOTP Comparison
Compares TOTP and HOTP characteristics in a table and shows how each derives the one-time code.
WebAuthn Options Explainer
Explains each PublicKeyCredentialCreationOptions field (attachment, userVerification, residentKey) for developers.
SAML Response Base64 Decoder
Decodes and indents base64-encoded SAMLResponse XML for inspection — useful for SSO debugging.
OAuth PKCE Pair Generator
Generates a random code_verifier and computes SHA256 base64url code_challenge for OAuth 2.0 PKCE.
JWT Claims Explainer
Lists all RFC 7519 registered claims (iss, sub, aud, exp, nbf, iat, jti) with descriptions and basic validation.
API Key Rotation Planner
Computes upcoming API key rotation dates based on an interval (30/60/90 days) and generates an iCal reminder.
Password Leak Checker (HIBP)
Checks if a password has appeared in public breaches via HaveIBeenPwned k-anonymity; only the SHA-1 prefix leaves the browser, preserving privacy.
SSH Fingerprint Validator
Validates and converts SSH key fingerprints between MD5 (a1:b2:…), SHA-256 base64 and Bubble Babble formats, useful for auditing known_hosts.
JWT HS256 Signature Validator
Verifies a JWT HS256 signature with the provided secret; decodes header and payload and shows verification status.
bcrypt Hash Generator
Generates bcrypt hashes in the browser for integration tests, with cost factor control (4-15) and visible salt for reproducibility.
Argon2id Hash Generator
Computes Argon2id hashes with configurable parameters (memory, iterations, parallelism) right in the browser for auth testing.
File Magic Bytes Detector
Identify the real file type by reading magic bytes/header (not the extension), detecting JPG, PNG, PDF, ZIP, ELF, MP4 and more.
File Multi-Hash Checksum
Compute MD5, SHA-1, SHA-256 and SHA-512 of a file simultaneously to verify integrity. 100% browser processing via WebCrypto.
IBAN and BIC/SWIFT Validator
Validate international IBAN bank codes (35 countries) and BIC/SWIFT codes, with breakdown into country, bank, branch and account.
Yubikey OTP Parser
Decode 44-character YubiKey OTP tokens to extract public ID, usage counter and timestamp, without validating the secret key.
MIME Sniffing Explainer
Analyze how browsers (Chrome/Firefox/Safari) interpret an ambiguous Content-Type and the risk of MIME sniffing in file uploads.
Bcrypt Cost Analyzer
Parse a bcrypt hash to extract rounds (cost) and estimate crack time using modern hashcat hardware tiers.
Content-Security-Policy Explainer
Parse a CSP header and explain each directive (default-src, script-src, frame-ancestors, etc.) with warnings for unsafe values.
HSTS Strict-Transport-Security Explainer
Take an HSTS header and explain max-age, includeSubDomains and preload — flagging insecure or invalid settings.
SSH known_hosts Parser
Read a known_hosts file and list host, key type and SHA-256 fingerprint — useful for auditing trusted SSH keys.
JKS/JCEKS/PKCS12 Keystore Identifier
Identify magic bytes in a JKS/JCEKS/PKCS12 header and show version plus alias count (no decryption).
SSH Key Fingerprint + Randomart
Paste a public SSH key (RSA/Ed25519/ECDSA) and compute SHA256 and MD5 fingerprints + ASCII randomart in OpenSSH format.
PGP ASCII Armor Decoder
Paste a -----BEGIN PGP MESSAGE/SIGNATURE----- block and inspect headers, type (message/key/signature) and inner binary bytes.
security.txt Builder (RFC 9116)
Build the /.well-known/security.txt file with Contact, Encryption, Acknowledgments, Policy, Hiring and Expires per RFC 9116.
Subresource Integrity Multi-Hash
Paste script/CSS content or a URL and generate integrity="sha256-... sha384-... sha512-..." attributes for HTML SRI.
Pwned Password Checker (HIBP k-anonymity)
Check if a password leaked in breaches via Have I Been Pwned range API using k-anonymity (only 5 chars of SHA-1 leave).
Detailed ASN.1 OID Decoder
Decode ASN.1 OID nodes inside DER/PEM automatically resolving known OIDs (commonName, sha256WithRSAEncryption, etc).
TOTP QR (otpauth://) Generator
Generate a scannable QR Code of `otpauth://totp/...` (issuer, label, secret, digits, period, algorithm) to import into Google/Authy/Bitwarden.
Zero-Width Character Detector
Detect and decode messages hidden in zero-width characters (ZWSP, ZWNJ, ZWJ, BOM) in any pasted text.
Hash Collision Birthday Probability
Compute collision probability as a function of hash size (bits) and item count, using the birthday paradox. Includes SHA-1/2/3 and BLAKE.
DNSSEC Chain Explainer
Paste DNSKEY/DS/RRSIG and see the chain of trust explained step by step (KSK→ZSK→signatures) with flags and algorithms.
WebAuthn/FIDO2 AAGUID Lookup
Paste an AAGUID (UUID v4) from a FIDO2/WebAuthn authenticator and identify the passkey manufacturer/model (YubiKey, Windows Hello, etc).
HTML Encode vs XSS Preview
Compare how a text is rendered raw vs. after HTML-encoding (&, <, >, ", '). Shows XSS attacks being neutralized.
CSRF Token Validator
Check whether a CSRF token has enough entropy (>= 128 bits), the expected format (base64url, hex) and minimum recommended length.
CORS Preflight Simulator
Enter an endpoint and CORS method/headers and see which preflight OPTIONS response the server would need to return.
XRP (Ripple) Address Validator
Validate classic XRP addresses and X-addresses with the Ripple Ledger base58check checksum.
Litecoin Address Validator
Validate Litecoin Legacy (L), P2SH (M/3) and Bech32 (ltc1) addresses with correct checksum.
Dogecoin Address Validator
Validate Dogecoin addresses (D...) with base58check and version bytes 0x1E (P2PKH) and 0x16 (P2SH).
Monero Address Validator
Validate Monero addresses (4..., 8...) with keccak-256 checksum — standard, integrated and subaddresses.
scrypt Hash Generator
Compute a scrypt hash of a password with configurable N, r, p parameters and export in MCF format.
xxHash Generator
Generate xxHash (32/64/128 bits), an ultra-fast non-cryptographic hash used in ZFS, LZ4 and DBs.
MurmurHash3 Generator
Generate MurmurHash3 (x86_32, x86_128, x64_128) with custom seed used in bloom filters and hash tables.
SSH Public Key Parser
Parse an SSH public key (RSA/Ed25519/ECDSA), extracting algorithm, bit size, SHA-256 fingerprint, and comment.
PGP Public Key Parser
Parse a PGP public key in ASCII armor and extract User IDs, algorithm, key ID, fingerprint, and expiration date.
OIDC Discovery Validator
Paste an issuer URL and validate the /.well-known/openid-configuration document, checking endpoints, scopes and JWKS URI.
HTTP Security Headers Analyzer
Paste HTTP response headers and the tool evaluates CSP, HSTS, X-Frame-Options, Referrer-Policy, Permissions-Policy and outputs a grade with recommendations.
Pasted Redirect Chain Tracer
Paste a list of URLs and status codes from a 301/302/307 chain and the tool highlights redirect loops, mixed content and chain breaks.
PGP Fingerprint Builder
Computes SHA-1, SHA-256 and v5 fingerprint of a PGP/GPG public key in ASCII armor for identity verification.
JWT alg=none Attack Detector
Checks if a JWT token is vulnerable to the algorithm none attack by inspecting the alg header and validating against OWASP secure policies.
CSP Violation Report Parser
Decodes JSON payloads of CSP reports sent to report-uri or report-to, displaying violated directive, blocked-uri and source-file in readable form.
CSP Report-Only Header Builder
Generates a Content-Security-Policy-Report-Only header to collect violations without blocking, with a report-uri endpoint.
Report-To Header Builder
Generates the Report-To header with endpoints for the Reporting API (CSP, NEL, deprecation) with max_age and groups.
HSTS Preload Checker
Parses a pasted HSTS header and validates hstspreload.org requirements (max-age >= 31536000, includeSubDomains, preload).
BIP-39 Passphrase Generator
Generates a 12 or 24 word BIP-39 mnemonic from secure browser entropy with SHA-256 checksum.
Scytale Cipher
Applies the Scytale transposition cipher by writing text into N-row columns and reading back row-by-row.
CSP report-to Builder (v2)
Build the Report-To header (Reporting API) and CSP report-to directive to collect violations via endpoints, with groups and max-age.
Accept-CH Client Hints Builder
Build the Accept-CH header with Client Hints (Sec-CH-UA, Viewport-Width, DPR, Save-Data, Sec-CH-Prefers-Color-Scheme) for content negotiation.
Double Submit Cookie CSRF Builder
Generate snippets for the Double Submit Cookie CSRF protection pattern with HttpOnly+SameSite cookies and synchronized form and fetch tokens.
LDIF (LDAP) Anonymizer
Anonymize LDAP dumps in LDIF format by replacing names, emails and phone numbers with fake values while preserving structure for testing and demos.
AI Bots Deny Robots.txt
Generate a robots.txt focused on blocking AI bots (GPTBot, ClaudeBot, PerplexityBot, Cohere, AmazonBot, Bytespider, FacebookBot) and LLM crawlers.
JWK Thumbprint (RFC 7638)
Compute the canonical JWK thumbprint per RFC 7638 using SHA-256, useful as a deterministic key id (kid).
PASETO Token Decoder
Decode PASETO v3/v4 (Platform-Agnostic Security Tokens), showing footer, payload, and version — a modern alternative to JWT.
TLS Cipher Suite Lookup (IANA)
Look up TLS cipher suites by hexadecimal value (0xC02F) or IANA name (TLS_ECDHE_RSA_WITH_AES_128_GCM_SHA256), showing current recommendation.
CSP Trusted Types Builder
Build trusted-types and require-trusted-types-for CSP Level 3 directives to mitigate DOM-based XSS via Trusted Types API.
Signed Exchange (.sxg) Decoder
Decode metadata from Signed Exchange (.sxg) files showing certificate, validity, fallback URL, and integrity hash.
CSP Strict (Nonce/Hash) Builder
Generate a strict Content-Security-Policy based on nonce/hash, with fallback for older browsers and a violation report endpoint.
Expect-CT Header Historic Explainer
Understand the Expect-CT header (deprecated in 2024), why it was removed and what to use today (automatic CT logs in Chrome).
DNS CAA Record Builder
Generate a DNS CAA (Certification Authority Authorization) record that restricts which CAs may issue certificates for your domain.
Argon2 Parameters Recommender
Recommend memory, iterations and parallelism for Argon2id following OWASP 2026 (m=19MiB, t=2, p=1) adjustable by use case (web/CLI/HSM).
AI Bot Rate-Limit Policy Builder
Generate robots.txt snippets and headers to limit/disallow AI crawlers (GPTBot, ClaudeBot, Google-Extended, CCBot) per path.
OAuth Token Introspection (RFC 7662) Builder
Build requests and responses for the OAuth 2.0 Token Introspection endpoint (RFC 7662): token, token_type_hint, active, scope, sub, exp, iat.
TLS ECH Config Decoder
Decode an ECH Config (Encrypted Client Hello) in base64/hex showing version, kem_id, kdf_id, aead_id, public_name and public_key.
DPoP Proof JWT (RFC 9449) Builder
Build the payload and header of a DPoP proof JWT (RFC 9449) with htm, htu, jti, iat and jwk — for OAuth proof-of-possession tokens.
Cookie SameSite Analyzer (Set-Cookie)
Paste a Set-Cookie header and get a scorecard: Secure, HttpOnly, SameSite (Lax/Strict/None), Path, Domain, Max-Age, Partitioned. Flags OWASP issues.
CSR SAN Extension Builder (OpenSSL)
Build an OpenSSL/PEM Subject Alternative Names string (DNS, IP, email, URI) ready to include in a CSR config. Validates formats.
PEM X.509 Certificate Inspector
Paste a PEM-encoded x509 certificate and view Subject, Issuer, validity, SANs, key usage, extensions and SHA-1/256 fingerprints. All client-side.
Unicode Confusables IDN Homograph Checker
Take a domain in IDN/Punycode and detect confusable characters mimicking ASCII (IDN homograph attack). Shows normalized form and risk flags.
TOTP Recovery Codes Generator
Generate 8-16 unique backup codes (8-12 chars, alphanumeric) for use when the authenticator is lost. GitHub/Google style.
Password Pepper Builder
Generates a strong string (32-128 bytes) in base64/hex/base64url for use as a server-side pepper in password hashing. Shows entropy and OWASP tips.
SAML SP Metadata XML Builder
Generate a SAML 2.0 Service Provider EntityDescriptor with AssertionConsumerService, NameIDFormat, KeyDescriptor (signing/encryption) and SingleLogoutService — ready to upload to an IdP.
TLSRPT DNS Record Builder (RFC 8460)
Build TLSRPT DNS TXT records (_smtp._tls.example.com) to receive SMTP TLS reporting (failure reports). Supports multiple rua endpoints (mailto: and https:).
Fernet Token Builder/Decoder
Generates and decodes Fernet tokens (AES-128-CBC + HMAC-SHA256) with TTL — common format in Django and Python.
Branca Token Builder/Decoder
Generates and decodes Branca tokens (XChaCha20-Poly1305 + base62), modern alternative to Fernet with arbitrary payload.
Biscuit Token Decoder
Decodes Biscuit tokens (Clever Cloud) showing blocks, Datalog facts/rules and public verification.
Age Recipient Parser (age1.../SSH)
Inspects age public keys (age1...) and ssh-ed25519/rsa converted to recipient — modern encryption format.
PEM CSR PKCS#10 Complete Parser
Parses PKCS#10 CSR in PEM showing subject, SANs, key algorithm, signature and custom extensions.
Verhoeff Checksum Validator (Aadhaar)
Compute and validate the Verhoeff (1969) check digit — detects 100% of single-digit typos and adjacent-digit transpositions. Used by Aadhaar (India) and some banking systems. Accepts any numeric sequence.
Caesar Cipher Breaker (Brute Force)
Decrypt a Caesar-ciphered text by testing all 25 possible shifts at once, letting you spot which one yields readable text. Demonstrates the weakness of simple shift ciphers.
📈 SEO
robots.txt Generator
Generate robots.txt files for SEO: define User-agent, Allow/Disallow per path and link to sitemap.xml.
Meta Tags Generator
Generate SEO meta tags — title, description, canonical and Open Graph — in seconds. Copy the generated HTML directly into your site.
Open Graph Preview
Preview how a page will look when shared on Facebook, Twitter/X, LinkedIn and WhatsApp. Fill in the meta tags and see the social cards in real time.
JSON-LD (Schema.org) Generator
Generate JSON-LD markup for Schema.org — Article, Product, FAQPage, BreadcrumbList, Organization, Person. Paste in <head> and improve your Google snippet. Everything in your browser.
Twitter Card Generator
Generate Twitter Card meta tags (summary, summary_large_image, app, player). Card preview as it will appear on X/Twitter. Everything in your browser.
Canonical URL Generator
Generate the <link rel="canonical"> tag with the preferred URL. Helps avoid duplicate content and consolidate page authority on Google. Everything in your browser.
hreflang Generator
Generate hreflang tags for multilingual sites — tells Google which version to show by language/region (pt-BR, en-US, x-default, etc.). Everything in your browser.
Meta Tag Analyzer
Paste a page HTML and see all meta tags (description, keywords, Open Graph, Twitter, viewport, robots) extracted and organized. Everything in your browser.
Keyword Density
Count word and bigram frequency in a text and see density (%). Useful for on-page SEO and content optimization. Everything in your browser.
Title and Description Analyzer
Check whether your <title> (50-60 chars) and meta description (150-160 chars) are at the ideal length for Google. Shows snippet preview. Everything in your browser.
RSS Feed Generator
Build an RSS 2.0 file from items (title, link, description, date). Useful to create static feeds for blogs. Everything in your browser.
Sitemap XML Generator
Generate a sitemap.xml from a URL list with lastmod, changefreq and priority. Useful for static sites. Everything in your browser.
Heading Extractor (H1-H6)
Paste HTML and extract the H1-H6 heading structure with visual indentation. Useful to audit page hierarchy. Everything in your browser.
HTML Accessibility Audit
Paste HTML and receive a report of common accessibility issues: img without alt, label without for, declared color contrast, heading hierarchy.
Canonical Tag Checker
Paste HTML and check whether there is a <link rel="canonical">, what its value is, whether it points to itself and is absolute. Detects multiple canonicals.
Redirect Chain Analyzer
Paste a list of URL -> URL -> URL and view the chain, hop count and final URL. Detects loops and excess redirects.
Twitter Card Validator
Check the twitter:card, title, description, image, site, creator meta tags in pasted HTML and indicate what is missing or invalid.
Open Graph Validator
Check the main og:* tags (title, description, image, url, type, locale) and point out what is missing. Card preview included.
Heading Outline (HTML)
Extract H1-H6 outline from HTML as nested tree for SEO audit.
Meta Keywords Extractor
Extract keywords from <meta name="keywords"> tag in HTML.
Social Card Preview
Preview how a link will appear on social media (title, description, URL, image).
Responsive srcset Generator
Build srcset and sizes attributes for <img>. For responsive images — give URL and widths, get full HTML.
Picture Tag Generator
Generate <picture> with multiple <source> for modern formats (avif, webp, jpg) and media queries. Performance + compatibility.
Meta Viewport Generator
Build the meta viewport tag with options: width, initial-scale, min/max-scale, user-scalable. Presets for mobile, fixed, zoom-friendly.
Internal Links Extractor
Extract all internal <a href> links from HTML grouped by destination.
External Links Extractor
Extract external <a href> links from HTML (anything not on canonical domain).
UTM Parameters Cleaner
Remove utm_* (and fbclid, gclid, ...) tracking parameters from a URL.
Google SERP Snippet Preview
Preview how a title/description will look in Google search results.
FAQ JSON-LD Builder
Generate FAQPage JSON-LD from Q/A pairs for rich snippets.
FAQ vs HowTo JSON-LD Comparator
Side-by-side comparison of FAQPage and HowTo JSON-LD to choose the right type.
Review JSON-LD Builder
Generate Review JSON-LD with itemReviewed, author, rating and review body.
Recipe JSON-LD Builder
Build Recipe JSON-LD with name, ingredients, instructions, prep/cook time.
Event JSON-LD Builder
Build Event JSON-LD with name, location, start/end dates, organizer and attendance mode.
Breadcrumb JSON-LD Builder
Build BreadcrumbList JSON-LD from "name|url" pairs.
Person JSON-LD Builder
Build Person JSON-LD with name, jobTitle, email and social profiles (sameAs).
Twitter Card Meta Extractor
Extract all Twitter meta tags (card, title, description, image) from pasted HTML.
Open Graph Meta Extractor
Extract og:* meta tags and flag missing essentials (title/image/url/type).
Multi-page Canonical Comparator
Check if multiple URLs share the same canonical. Paste "URL|canonical" pairs.
Multiple H1 Detector
Count <h1> elements and show their text. SEO best practice: 1 H1 per page.
Missing Image Alt Detector
List <img> tags missing alt or with empty alt for accessibility/SEO.
Title Pixel Width (Google)
Estimate title pixel width using Arial averages. Google limit ≈ 600px.
Description Pixel Width
Estimate meta description pixel width. Google truncates around 990px (~155-165 chars).
All Heading Tags Extractor
Extract all heading tags (h1-h6) from HTML showing nested hierarchy.
Rich Results Type Detector
Detect Rich Results types based on HTML meta tags, JSON-LD and microdata.
sitemap.xml Viewer
Parse sitemap.xml and list URLs with lastmod, changefreq, priority. Detects sitemap-index.
WWW vs Non-WWW Analyzer
Compare URL with vs without www prefix; show canonical and ideal redirect setup.
Author JSON-LD Builder
Build Person JSON-LD for article author with name, URL, description, jobTitle and sameAs.
Organization JSON-LD Builder
Build Organization JSON-LD with name, logo, URL, phone, address and sameAs.
Canonical Self-Reference Analyzer
Check if a URL and its declared canonical point to the same resource (self-referencing).
LocalBusiness JSON-LD Builder
Build LocalBusiness JSON-LD with name, address, phone, geo, openingHours, priceRange.
CSS Grid Areas Generator
Build grid-template-areas visually: define rows/cols and name areas. CSS Grid-ready output.
CSS Flexbox Recipe Generator
Common flexbox recipes: center, distribute, equal split, sticky footer. Each recipe produces ready CSS.
CSS Animation @keyframes Generator
Generate CSS @keyframes for common animations: fade-in, slide-in, bounce, pulse, shake. Covers delay/duration/easing.
Meta Author Builder
Build the <meta name="author"> tag declaring the author of an HTML page.
Meta Charset Builder
Build the <meta charset> tag declaring the page character encoding.
Meta http-equiv Builder
Build <meta http-equiv> tags to simulate HTTP headers from HTML.
Meta Content-Language Builder
Build the <meta http-equiv="content-language"> tag for content language.
Meta Revisit-After Builder
Build the <meta name="revisit-after"> tag hinting crawler revisit interval.
Meta Pragma Builder
Build the <meta http-equiv="pragma"> tag for legacy cache control.
Link AMP Builder
Build the <link rel="amphtml"> tag pointing to the AMP version.
Link Alternate Builder
Build the <link rel="alternate" hreflang> tag for language variants.
Link Author Builder
Build the <link rel="author"> tag pointing to the author profile.
Link License Builder
Build the <link rel="license"> tag declaring the content license.
Link Pingback Builder
Build the <link rel="pingback"> tag pointing to the pingback endpoint.
Link Shortlink Builder
Build the <link rel="shortlink"> tag for a canonical short URL.
Link Feed Builder
Build the <link rel="alternate" type="application/rss+xml"> tag for feeds.
Link Manifest Builder
Build the <link rel="manifest"> tag pointing to the PWA manifest.
Link Search Builder
Build the <link rel="search"> tag describing the OpenSearch plugin.
FAQ Rich Snippet Builder
Build a basic FAQPage JSON-LD schema with one Q&A pair.
HowTo Rich Snippet Builder
Build a basic HowTo JSON-LD schema describing a single-step procedure.
VideoObject Rich Snippet Builder
Build a basic VideoObject JSON-LD schema with name, description and thumbnail.
Article Rich Snippet Builder
Build a basic Article JSON-LD schema with headline, author and publish date.
Product Rich Snippet Builder
Build a basic Product JSON-LD schema with name, brand and price.
Schema Article (JSON-LD)
Gera Schema.org Article para artigos de notícia/blog.
Schema BlogPosting
Gera Schema.org BlogPosting.
Schema HowTo (passo-a-passo)
Gera Schema.org HowTo com passos.
Schema Product
Gera Schema.org Product completo.
Schema Recipe Completo
Gera Schema.org Recipe.
Schema VideoObject
Gera Schema.org VideoObject.
Schema Event
Gera Schema.org Event.
Schema Course
Gera Schema.org Course.
Schema JobPosting
Gera Schema.org JobPosting.
Schema SoftwareApplication
Gera Schema.org SoftwareApplication.
robots.txt para Bots de IA
Gera bloco robots.txt para bloquear bots de IA (GPTBot, ClaudeBot, CCBot, etc.).
Complete Meta Tags Generator
Complete meta tag set: charset, viewport, description, OG, Twitter, theme-color, canonical and hreflang.
Meta Tag Builder (OG + Twitter)
Builder focused on Open Graph and Twitter Cards. Preview a share card before publishing.
Twitter Card Generator
Generate Twitter Card meta tags (summary, summary_large_image, app, player) ready for your <head>.
SEO Title Length
Analyzes title tag length in chars and pixel estimate to suggest optimal truncation for Google.
SEO Meta Description Length
Counts characters and words of meta description, flagging the ideal 120-160 range.
Alt Text From Filename
Suggests alt text for images from filename, stripping separators and extension.
Canonical URL Builder
Builds a canonical URL from domain, path, and relevant params, stripping trackers.
Flesch Reading Ease PT
Computes the Flesch readability index adapted to Brazilian Portuguese.
Coleman-Liau Index PT
Computes the Coleman-Liau readability index from letters, words, and sentences per 100 words.
Viewport Meta Mobile Check
Checks whether a viewport meta snippet contains width device-width initial-scale 1 for mobile-friendly.
Images Without loading=lazy Extractor
Parses pasted HTML and lists images missing loading='lazy' — actionable hints for Core Web Vitals.
Meta Robots vs X-Robots-Tag Comparator
Compares meta robots and X-Robots-Tag directives and shows which one prevails for crawlers in each combination.
Link rel='' Attribute Extractor
Lists every <a> in an HTML and classifies by rel tokens (nofollow, ugc, sponsored, noopener, noreferrer).
Srcset Pixel Density Analyzer
Reads an <img> srcset attribute and shows which assets are used for 1x, 2x and 3x across viewports.
Canonical Cross-Domain Detector
Receives HTML and detects a canonical pointing to a different host — handy to find wrong canonicals on multi-site setups.
Title Keyword Position Analyzer
Computes the position (in words) of the main keyword in the title — earlier keywords carry more SEO weight.
H1 vs Title Keyword Overlap
Compares H1 and Title and computes keyword overlap (Jaccard) — penalizes generic titles unaligned with the H1.
Internal Anchor Text Distribution
Analyzes HTML and shows the anchor text distribution of internal links — flags generic anchors like 'click here'.
Microdata Schema Extractor
Extracts schema.org microdata (itemscope, itemtype, itemprop) from HTML and converts it to equivalent JSON-LD.
Noindex on Paginated Pages Detector
Identifies paginated URLs (?page=, /page/N/) and checks whether they include noindex — a common e-commerce audit.
Multilingual FAQPage Schema Generator
Generates FAQPage JSON-LD with questions in multiple languages using inLanguage per entry — for multilingual sites.
BreadcrumbList Schema Builder
Builds BreadcrumbList JSON-LD with ordered ListItem entries — ready to paste in your <head>.
WebSite Sitelinks Searchbox Schema
Generates WebSite JSON-LD with SearchAction to enable the Sitelinks Search Box in Google.
ImageObject Schema Generator
Creates ImageObject JSON-LD with caption, width, height, license and creator — useful for Google Images.
PodcastEpisode Schema Builder
Generates JSON-LD for PodcastEpisode (audio, ISO 8601 duration, series position, transcript).
Advanced HowTo Step Builder
Builds HowTo JSON-LD with steps including image, supply, tool and total estimated time.
Restaurant Schema with Menu
Generates Restaurant JSON-LD with address, openingHours, servesCuisine and hasMenu (link or inline MenuSection).
MedicalClinicalTrial Schema
Generates JSON-LD for MedicalStudy/MedicalClinicalTrial (phase, status, studied condition) — for health sites.
RealEstateListing Schema
Builds JSON-LD for a property listing: SingleFamilyResidence, price, address, floorSize, numberOfRooms.
JSON-LD Required Fields Validator
Takes JSON-LD and validates required fields per type (Product needs offers, Article needs headline+datePublished, etc.).
OG Image Dimensions Checker
Checks if og:image meets recommended ratio and size (1200x630, min 600x315) for Facebook/LinkedIn/X.
OG with Twitter Card Fallback Builder
Builds Open Graph + Twitter Card meta tags with automatic fallback (twitter:* inherits from og:* when missing).
OG Article Published/Modified Time Builder
Generates og:type=article meta with article:published_time, article:modified_time, author and tags in valid ISO 8601.
Open Graph Video Meta Builder
Generates og:video, og:video:type, og:video:width/height meta tags to embed video in Facebook shares.
Fediverse/Mastodon Meta Tag Builder
Generates fediverse:creator meta tag and Mastodon verified link snippet to claim authorship on federated instances.
Bluesky Card Preview
Shows how a URL appears in a Bluesky embed using og:* and twitter:* — fully client-side preview.
Pinterest Rich Pin Builder
Generates Pinterest Rich Pin meta tags (article, product, recipe) with type-specific fields like og:price:amount.
Discord Embed Preview
Renders how a URL with OG tags appears in Discord (colored sidebar, thumbnail) — client-side mock.
WhatsApp Link Preview
Shows how a URL appears in WhatsApp preview (title, description, thumbnail) — size limits highlighted.
Slack Unfurl Preview
Renders how a URL appears in Slack unfurl (attachment) — also handy to validate collected meta tags.
robots.txt Tester
Paste the robots.txt content and a URL to test whether it is allowed or blocked for a specific user-agent, with rule explanation.
Redirect Chain Mapper
Paste the sequence of URLs to visualize the 301/302 chain, detect loops and long chains that dilute PageRank.
Multi-Language Meta Description
Compare length, sentiment and CTR potential of PT, EN and ES versions of the same meta description side by side with visual indicators.
QAPage JSON-LD Schema
Generate QAPage JSON-LD for Stack Overflow-style pages with Question, acceptedAnswer and suggestedAnswer, plus Rich Result preview.
AggregateRating JSON-LD Schema
Build the AggregateRating JSON-LD snippet to add star ratings to Product/LocalBusiness/Recipe with required-field validation.
UTM URL Decoder
Paste a URL with UTM parameters to decode utm_source, medium, campaign, term and content into a clear table, ideal for audits.
URL Tracker Detector & Remover
Identify and remove tracking parameters (utm_, fbclid, gclid, mc_cid, _hsenc) from URLs to share clean and private links.
Canonical Chain Checker
Paste HTML or URLs to detect <link rel=canonical> chains, finding loops and chained redirects that hurt SEO.
Meta Description Multi-Snippet Preview
See how your meta description appears in Google, Bing, DuckDuckGo and Yandex side by side, with character counts per engine.
Meta Description Pixel Validator
Measure meta description in pixels (not characters) using canvas, with current Google SERP width (~990px) — more accurate.
Title Pixel Validator
Measure <title> in pixels (not characters) with Arial 20px font, showing if it fits SERP width (~600px).
Google SERP Preview
Visual simulation of how title/description/URL will appear in Google search on desktop and mobile.
JSON-LD Schema Validator
Parse pasted JSON-LD and check required fields per @type (Article, Product, FAQPage, BreadcrumbList) with warnings.
Schema.org Live Validator
Paste JSON-LD or full HTML and validate against Schema.org schemas (Article, Product, Recipe, FAQ, HowTo) with detailed errors and warnings.
AMP HTML Validator
Validate AMP HTML pages against official rules (amp- tags, forbidden scripts, layout, viewport) without needing the AMP Project CLI.
ads.txt / app-ads.txt Validator (IAB)
Paste ads.txt or app-ads.txt and validate IAB format (domain, account ID, relationship DIRECT/RESELLER, TAG-ID) line by line.
humans.txt Builder
Build a /humans.txt file with TEAM, THANKS, SITE (last update, language, doctype, IDE, components) per humanstxt.org.
Schema Recipe JSON-LD
Build full Schema.org Recipe JSON-LD (ingredients, instructions, nutrition, prep/cook time, ratings) for recipe sites in Google.
Schema Product JSON-LD
Build Schema.org Product JSON-LD with brand, GTIN, MPN, offers, aggregateRating and availability — ready for Google rich results.
Schema VideoObject JSON-LD
Generate VideoObject JSON-LD with thumbnailUrl, uploadDate, duration, contentUrl and embedUrl so videos rank in rich results.
Schema HowTo JSON-LD
Build HowTo JSON-LD with numbered steps, tools, supplies, totalTime and estimatedCost for tutorials. Google Search compatible.
SERP Snippet Preview
Preview how your page will look in Google search results (desktop and mobile) with title, description, URL and pixel counts.
Open Graph Card Preview
Paste Open Graph meta tags and see side-by-side how the card will appear on Facebook, Twitter/X, LinkedIn, Slack and Discord.
Sitemap Index Builder
Build a sitemap-index.xml referencing multiple child sitemaps. Useful for sites with over 50K URLs (protocol limit).
llms.txt Builder
Generate a /llms.txt file (2024-26 proposal) describing your site to LLMs and AI crawlers, with prioritized Markdown links.
Schema Book JSON-LD
Build a Book schema.org JSON-LD with author, ISBN, publisher, language, genre and page count — ready to paste.
Schema Dataset JSON-LD
Generate a Dataset JSON-LD (Google Dataset Search) with license, distribution, variables and academic citation.
Schema NewsArticle JSON-LD
Create a NewsArticle JSON-LD with headline, publisher, dateline, author and category — for Google News.
DuckDuckGo SERP Preview
Preview how a title and meta-description appear in a DuckDuckGo snippet, with real pixel-width truncation.
Strict Schema JobPosting Validator
Strict validator for Schema.org JobPosting: checks Google required fields (title, datePosted, hiringOrganization, jobLocation) and flags Rich Result.
Strict Schema Event Validator
Validates Schema Event for Google Rich Result eligibility requires name, startDate, location, offers or performer.
IndexNow Key Builder
Generate IndexNow key and the {key}.txt file for domain upload includes example POST to api.indexnow.org.
llms.txt Builder (v2)
Generate /llms.txt file (llmstxt.org proposal) with structured markdown for LLM discovery preview and download.
LinkedIn Share Preview
Simulates how your URL will appear when shared on LinkedIn, reading Open Graph tags and rendering a card with image, title and description.
WhatsApp Link Validator
Simulates how your URL will appear when pasted in a WhatsApp conversation, validating OG image recommended dimension 300x200 and domain.
Pinterest Rich Pin Validator
Verifies Open Graph and Schema.org markup required for Rich Pins (Article, Product, Recipe) on Pinterest, indicating missing fields.
Bing Snippet Preview
Shows how your page will appear in Bing results based on title, meta description and URL, respecting the 65-character Bing title limit.
rel=preconnect Builder
Generates link rel=preconnect tags for critical origins (CDN, fonts, analytics) with optional crossorigin.
rel=dns-prefetch Builder
Generates link rel=dns-prefetch tags to resolve DNS of external origins before use and speed up third parties.
BCP-47 Language Tag Builder
Builds a BCP-47 tag with language (ISO 639), script (ISO 15924), region (ISO 3166-1) and variants for the lang attribute.
aria-label Snippets
Library of ready-to-use HTML snippets with correct aria-label for close buttons, menu, search and social icons.
Sitemap Video Builder
Generate sitemap-video.xml per Google spec with video:thumbnail_loc, title, description, content_loc, player_loc, duration, expiration and family_friendly.
Sitemap News Builder
Generate sitemap-news.xml for Google News with news:publication, language, publication_date, title and genres respecting the 48 hours and 1000 URLs rules.
Sitemap Image Builder
Generate sitemap-image.xml for image indexing with image:loc, caption, geo_location, title and license per URL, up to 1000 images per URL.
oEmbed Discovery Builder
Generate link rel=alternate and type application/json+oembed tags for auto-discovery of oEmbed endpoints on embeddable pages.
JSON-LD SoftwareApplication
Generate schema.org SoftwareApplication with applicationCategory, operatingSystem, offers, aggregateRating for apps and SaaS.
JSON-LD FAQ + HTML Accordion
Generate FAQPage JSON-LD from question/answer pairs and export semantic HTML accordion (details/summary) ready to paste.
JSON-LD BreadcrumbList Builder
Build schema.org BreadcrumbList JSON-LD from an ordered list of levels (name+URL) to enhance Google results.
JSON-LD LocalBusiness Full
Generate schema.org LocalBusiness with address (PostalAddress), geo, openingHoursSpecification, telephone, priceRange, and payment accepted.
FAQ Rich Results Validator (Strict 2026)
Validate FAQ JSON-LD against strict Google 2026 rules (no HTML in answer, no promotional links, minimum 2 questions).
Pantone Trend 2026 SEO Keywords
List hashtags and SEO keywords related to Pantone 2026 color (Mocha Mousse) and Spring/Summer 2026 trend colors for fashion content.
llms.txt Validator (Strict)
Validate llms.txt files against the proposed spec: required H1/H2 headers, valid links, MIME types and maximum size.
Product JSON-LD with Variants Builder
Build Product JSON-LD with multiple offers (variants), aggregateRating, brand and shippingDetails for e-commerce rich results.
SEO Keyword Density Multi-Ngrams
Analyzes text and shows density of unigrams, bigrams and trigrams with PT/EN stopword filtering. Reports percentage and counts.
SERP Snippet Preview Multi-Device
Shows how title, description and URL appear in Google search on desktop, mobile and tablet with real pixel limits (not chars). Highlights truncation.
Redirect Chain Bulk Analyzer (Pasted)
Paste up to 100 URLs (one per line) and view the redirect chain (301/302/307/308), final URL and number of hops for each.
Chicago Author-Date Citation Builder
Builds references and in-text citations in Chicago Author-Date style (17th ed.) for books, articles, websites. Outputs BibTeX and formatted.
<img alt> Extractor and Auditor
Paste HTML and list every <img> tag with its src and alt attributes. Flags missing alt, empty alt, suspicious alt (filename) and length.
Schema ClaimReview JSON-LD
Build ClaimReview JSON-LD for fact-checking pages, with claimReviewed, author, rating, datePublished and url, per Google Fact Check Tools.
Sitemap lastmod ISO 8601 Validator
Paste a sitemap.xml and detect <lastmod> values with invalid format (W3C Datetime/ISO 8601), dates in the future or too old. Lists URLs by status.
Movie Schema JSON-LD Builder
Builds Movie/MovieSeries JSON-LD with director, actors, runtime, rating and trailer for cinema SEO.
MusicAlbum Schema JSON-LD Builder
Builds MusicAlbum JSON-LD with artist, tracks, label and release date for music rich results.
HowTo Schema JSON-LD Builder v2
Builds HowTo JSON-LD step-by-step with total time, tools and supplies for guides and tutorials (Google).
Keyword Cannibalization Checker
Paste a list of URLs with title and meta description to identify pages competing for the same keyword.
URL Normalizer (RFC 3986 + SEO)
Apply RFC 3986 §6 syntactic normalization (lowercase scheme/host, drop default port, decode unreserved %-escapes, resolve dot-segments) plus SEO extras: drop fragment, sort query, drop /index.html, HTTPS upgrade.
🧮 Calculators
Rent Adjustment Calculator
Compute annual rent adjustment by IGP-M or IPCA accumulated in the last 12 months (manually configurable).
Pregnancy Calculator
Compute estimated due date (EDD), gestational age and trimester from the last menstrual period (LMP).
Fertile Period Calculator
Compute fertile window and ovulation day from the first day of the last cycle and the average cycle length.
Heart Rate Calculator
Compute max HR (220 − age) and training zones (fat burn, aerobic, anaerobic) using the Karvonen method.
BBQ Calculator
Compute quantities of meat, drinks, bread, charcoal and side dishes for a BBQ based on adults, kids and duration.
First Million Calculator
Compute how long it takes to reach R$1,000,000 given a monthly contribution and compound interest rate.
Financing Simulator
Simulate financing (Price or SAC tables) with value, term and rate. Shows installments, total paid and interest.
Loan Simulator
Simulate personal loan (Price table) computing monthly installments, total paid and effective cost.
Savings Simulator
Simulate Brazilian savings yield over a period with initial and monthly contributions. Uses 0.5% + TR estimate.
MEI DAS Calculator
Shows the 2024 monthly DAS payment for the Brazilian MEI tax regime by activity (Commerce/Industry, Commerce+Service, Service).
Household Employee Salary Calculator
Computes total employer cost for a Brazilian household employee (eSocial): employee/employer INSS, FGTS, accident insurance and severance provision.
Unemployment Benefit Calculator
Estimates Brazilian unemployment benefit installments based on the average of the last 3 salaries (2024 table).
Hours Calculator
Add and subtract hours and minutes. Compute worked time from entry, exit and breaks.
Overtime Calculator
Compute overtime pay with 50% (weekday) and 100% (Sunday/holiday) surcharges over the normal hour value.
INSS Calculator
Calculate Brazilian INSS payroll deduction using the 2024 progressive table (7.5% to 14%).
FGTS Calculator
Calculate monthly FGTS deposit (8% of gross salary) and accumulated balance over a period.
13th Salary Calculator
Calculate the Brazilian 13th salary, proportional to months worked, with INSS and income-tax deductions on the second installment.
Net Salary Calculator
Compute net salary from gross by deducting Brazilian INSS and IRRF (2024 tables). Considers dependents.
Fraction Calculator
Add, subtract, multiply and divide fractions. Simplifies to lowest terms and converts to decimal.
Proportion Calculator
Solves proportions (rule of three) with up to 4 terms: A is to B as C is to X. Computes the unknown.
Simple Interest Calculator
Compute simple interest with J = C × i × t. Auto-adjusts time unit (days, months, years).
VAT Calculator
Compute VAT in different rates. Useful for Portugal and other Portuguese-speaking countries.
BPM Tap Calculator
Compute BPM (beats per minute) by tapping Space in rhythm. Useful for musicians and DJs.
Roman Numerals Converter
Convert Arabic numbers to Roman numerals and vice versa. Supports values from 1 to 3999. Instant bidirectional conversion.
GCD Calculator
Calculate the Greatest Common Divisor (GCD) of two or more numbers using the Euclidean algorithm. Instant result.
LCM Calculator
Calculate the Least Common Multiple (LCM) of two or more numbers. Instant result in the browser.
Percentage Calculator
Calculate percentages in three ways: X% of Y, X is what % of Y, and X increased or decreased by Y%. Instant result.
Rule of Three Calculator
Solve a simple rule of three online. Enter three values and automatically calculate the fourth.
Modulo Calculator
Calculate the remainder of integer division (modulo) between two numbers. Instant result in the browser.
Prime Factorization
Decompose any number into its prime factors. Instant result with the complete factorization.
Circle Area Calculator
Calculate the area of a circle from its radius. Formula: A = π × r². Instant result in the browser.
Square Area Calculator
Calculate the area of a square from its side. Formula: A = l². Instant result in the browser.
Rectangle Area Calculator
Calculate the area of a rectangle from its base and height. Formula: A = b × h. Instant result.
Triangle Area Calculator
Calculate the area of a triangle from its base and height. Formula: A = (b × h) / 2. Instant result.
Pentagon Area Calculator
Calculate the area of a regular pentagon from its side length. Instant result in the browser.
Hexagon Area Calculator
Calculate the area of a regular hexagon from its side length. Instant result in the browser.
Regular Polygon Area Calculator
Calculate the area of any regular polygon by entering the number of sides and side length.
Rhombus Area Calculator
Calculate the area of a rhombus from its major and minor diagonals. Formula: A = (D × d) / 2.
Trapezoid Area Calculator
Calculate the area of a trapezoid from its parallel bases and height. Formula: A = ((B + b) × h) / 2.
Parallelogram Area Calculator
Calculate the area of a parallelogram from its base and height. Formula: A = b × h. Instant result.
Ellipse Area Calculator
Calculate the area of an ellipse from its semi-major and semi-minor axes. Formula: A = π × a × b.
Annulus Area Calculator
Calculate the area of a circular ring (annulus) from its outer and inner radii. Formula: A = π × (R² − r²).
Circular Sector Area Calculator
Calculate the area of a circular sector from its radius and central angle in degrees. Formula: A = (π × r² × θ) / 360.
Severance Pay Calculator (Brazil)
Calculate Brazilian employment termination amounts: salary balance, proportional vacation, 13th salary, FGTS and dismissal fine.
Vacation Pay Calculator (Brazil)
Calculate vacation pay with the constitutional third per Brazilian labor law (CLT). Enter gross salary and vacation days to get the estimated net amount.
BMI Calculator
Calculate your Body Mass Index (BMI) and find your classification according to WHO. Enter weight and height for an instant result.
Ethanol vs Gasoline Calculator
Find out which fuel is more cost-effective: ethanol or gasoline. Enter the prices and see which is better for your flex-fuel car.
Interest Rate Calculator
Calculate simple and compound interest. Enter the principal, rate and period to get the interest and final amount.
Discount Calculator
Calculate the discount amount and final price from the original price and discount percentage. Instant result.
Linear Equation Solver
Solve first-degree equations (ax + b = 0) instantly. Enter the coefficients and see the value of x with step-by-step solution.
Quadratic Equation Solver
Solve quadratic equations (ax² + bx + c = 0) with the quadratic formula. Shows the discriminant Δ and real roots.
Arithmetic Progression
Calculate the general term and sum of an Arithmetic Progression. Enter the first term, common difference and number of terms.
Geometric Progression
Calculate the general term and sum of a Geometric Progression. Enter the first term, ratio and number of terms.
Multiplication Table
Generate the multiplication table for any number. See the multiplication line by line up to any multiplier.
Sine Calculator
Calculate the sine of an angle in degrees, radians or gradians. Precise result with up to 10 significant digits.
Cosine Calculator
Calculate the cosine of an angle in degrees, radians or gradians. Precise result with up to 10 significant digits.
Tangent Calculator
Calculate the tangent of an angle in degrees, radians or gradians. Shows "Undefined" when the tangent does not exist.
Cotangent Calculator
Calculate the cotangent of an angle in degrees, radians or gradians. Shows "Undefined" when the cotangent does not exist.
Secant Calculator
Calculate the secant of an angle in degrees, radians or gradians. The secant is the reciprocal of the cosine.
Cosecant Calculator
Calculate the cosecant of an angle in degrees, radians or gradians. The cosecant is the reciprocal of the sine.
Arcsine Calculator
Calculate the arcsine (arcsin) of a value and get the angle in degrees, radians and gradians. Domain: −1 to 1.
Arccosine Calculator
Calculate the arccosine (arccos) of a value and get the angle in degrees, radians and gradians. Domain: −1 to 1.
Arctangent Calculator
Calculate the arctangent (arctan) of a value and get the angle in degrees, radians and gradians. Accepts any real number.
Arccotangent Calculator
Calculate the arccotangent (arccot) of a value and get the angle in degrees, radians and gradians. Accepts any real number.
Arcsecant Calculator
Calculate the arcsecant (arcsec) of a value and get the angle in degrees, radians and gradians. Domain: |x| ≥ 1.
Arccosecant Calculator
Calculate the arccosecant (arccsc) of a value and get the angle in degrees, radians and gradians. Domain: |x| ≥ 1.
List Statistics
Calculate complete statistics for a list of numbers: sum, mean, median, mode, min, max, range and standard deviation.
Volume Calculator
Calculate the volume of geometric solids: cube, sphere, cylinder, cone, pyramid and rectangular prism. Instant result with the formula used.
Prime Number Checker
Check if a number is prime. Shows the prime factorization, the previous prime and the next prime. Instant result.
Combinations & Permutations
Calculate combinations C(n,k) and permutations P(n,k) with formulas and results for large numbers. Essential for combinatorics.
Fibonacci Sequence Generator
Generate the first N terms of the Fibonacci sequence. Shows the sequence, the nth term and the sum of all terms.
Weighted Average Calculator
Calculate the weighted average by entering values and weights in parallel lists. Ideal for calculating grades, scores and weighted metrics.
Speed, Distance & Time Calculator
Calculate speed, distance or time from the other two values. Supports km/h, m/s and mph. Ideal for sports, travel and physics.
Pythagorean Theorem Calculator
Calculate any side of a right triangle from the other two. Enter two sides and get the third with the formula a² + b² = c².
Root Calculator
Calculate the square root, cube root or nth root of any number. Result with 10 decimal places of precision.
Power Calculator
Calculate the power aⁿ of any base and exponent, including negatives and decimals. Shows the result in scientific notation when necessary.
Compound Interest Calculator
Calculate final amount, accumulated interest and return with compound interest. Supports initial capital, monthly contributions and monthly or annual rates.
Time Calculator
Add time durations in hours, minutes and seconds, and convert between milliseconds, seconds, minutes, hours and days.
Loan Calculator
Simulate loans and financing with a full amortization table. Calculate installments, total interest, and the real cost of credit.
TDEE Calculator
Calculate your Total Daily Energy Expenditure (TDEE) and Basal Metabolic Rate (BMR). Find out how many calories you need per day and your macro breakdown.
Function Animation
Visualize and animate mathematical functions f(x, t) in real time. The parameter t varies automatically — perfect for waves, trig functions and dynamic equations.
Parametric Curves
Animate and plot parametric curves defined by x(t) and y(t). Explore Lissajous, spirals, epicycloids, roses and other classic curves.
Aspect Ratio Calculator
Calculate the aspect ratio of any resolution (e.g. 1920×1080 = 16:9). Or calculate the missing dimension from a ratio and one side.
Tip Calculator
Calculate tip and split the bill among multiple people. Enter the total, tip percentage and number of people to see the per-person amount.
Fuel Cost Calculator
Calculate the fuel cost of a trip: enter distance in km, vehicle consumption (km/L) and price per liter. See liters needed, total cost and cost per km. All in the browser.
Sleep Cycle Calculator
Find the best time to sleep or wake up based on 90-minute sleep cycles. Waking between cycles helps you feel more rested. Allows 14 minutes to fall asleep. Everything in your browser.
Daily Water Intake Calculator
Calculate how many liters of water you should drink each day based on weight, physical activity and climate. Includes a goal in 250 ml glasses to track during the day. Everything in your browser.
Body Fat Calculator
Estimate your body fat percentage using the US Navy method (Hodgdon-Beckett). Enter height, neck, waist (and hip for women). Shows the fitness category. Everything in your browser.
Pet Age Calculator
Convert your dog or cat age into human years using the modern AVMA formula. Large and giant dogs age faster. Shows the pet life stage. Everything in your browser.
Caffeine Calculator
Calculate how long caffeine stays in your body. See the remaining amount after each half-life and when it is safe to sleep. Includes a sources table (coffee, tea, energy drinks, chocolate). Everything in your browser.
ROI Calculator
Calculate Return on Investment (ROI) from invested amount and gain. Shows ROI percent, net profit and annualized ROI. Useful for investment analysis. Everything in your browser.
CAGR Calculator
Calculate the Compound Annual Growth Rate (CAGR) between a start and end value over N years. Shows average annual growth of investments, revenue or KPIs. Everything in your browser.
Ohm’s Law Calculator
Calculate voltage (V), current (I), resistance (R) and power (P) using Ohm’s Law. Provide any two values and the calculator finds the other two. Useful for electronics and electrical work. Everything in your browser.
Resistor Color Code Calculator
Decode 4, 5 or 6 band resistors from their colors and see the value in ohms with tolerance. Also supports the reverse (value → colors). Useful for electronics. Everything in your browser.
Distance Between Coordinates
Calculate the great-circle distance between two GPS points using the Haversine formula. Result in km, miles and nautical miles, with bearing. Everything in your browser.
Markup and Margin Calculator
Compute sale price from cost + markup or margin (and vice versa). Also explains the difference between markup and margin — a common retail confusion. Everything in your browser.
Break-even Calculator
Find how many units you must sell to cover fixed and variable costs (break-even). Shows break-even in units and revenue, with contribution margin. Everything in your browser.
Math Expression Evaluator
Calculate math expressions as you type — sum, subtraction, multiplication, division, powers, square root, log, sin, cos, tan and parentheses. Shows the result. Everything in your browser.
ETA Calculator
Estimate the remaining time (ETA) for a task: from current progress, total and elapsed time, calculate how much is left and when it finishes. Useful for downloads, builds, processing. Everything in your browser.
BMR (Basal Metabolic Rate) Calculator
Compute Basal Metabolic Rate (BMR) — calories your body burns at rest — using Mifflin-St Jeor and Harris-Benedict formulas. Foundation for diet planning. Everything in your browser.
Parallel Resistor Calculator
Compute the equivalent resistance of up to 10 resistors in parallel (Req = 1 / Σ(1/Ri)). Also shows the series total for comparison. Everything in your browser.
Voltage Divider Calculator
Compute the output voltage of a voltage divider (Vout = Vin × R2 / (R1+R2)) and find resistor values for a desired output. Everything in your browser.
RC Time Constant Calculator
Compute the time constant τ = R × C of an RC circuit, cutoff frequency, and charge time to 63%, 95% and 99%. Useful for filters and timers. Everything in your browser.
Running Pace Calculator
Convert pace (min/km) to speed (km/h) and compute total time for 5K, 10K, half-marathon and marathon distances. Useful for runners. Everything in your browser.
Factorial Calculator
Compute n! (factorial) for any integer up to 170 (double precision limit). Above that, returns exact BigInt. Useful for combinatorics, probability and discrete math. Everything in your browser.
VO2 Max Calculator
Estimate your VO2 max (aerobic capacity) by 3 methods: 12-minute run (Cooper), 1.5-mile (Rockport) and resting heart rate. Everything in your browser.
Surface Area Calculator (3D)
Compute the surface area of cubes, rectangular prisms, spheres, cylinders, cones and pyramids. Shows the formula used. Everything in your browser.
LC Resonance Frequency Calculator
Compute the resonance frequency f = 1/(2π√(LC)) of an LC circuit. Useful for radio, filters and oscillators. Everything in your browser.
CPM Calculator
Compute CPM (Cost per Mille), impressions from budget+CPM, or total budget. Fundamental for paid media. Everything in your browser.
CPC and CPA Calculator
Compute CPC (Cost per Click) and CPA (Cost per Acquisition) from spend, clicks and conversions. Ideal for Google/Meta/TikTok Ads. Everything in your browser.
MRR and ARR Calculator
Compute MRR (Monthly Recurring Revenue) and ARR from monthly and annual subscriptions. Also shows ARPU. Key SaaS metrics. Everything in your browser.
Churn Rate Calculator
Compute churn rate (cancellation rate) and retention rate. Supports customer churn and revenue churn. Everything in your browser.
LTV / CAC Calculator
Compute Lifetime Value (LTV), Customer Acquisition Cost (CAC) and the LTV/CAC ratio. Healthy when ≥ 3. Everything in your browser.
Payback Calculator
Compute the payback time of an investment — how long until you recover the initial value given a periodic cash flow. Everything in your browser.
NPV Calculator
Compute the Net Present Value (NPV) of a project — sum of discounted cash flows at a discount rate. Supports multiple periods. Everything in your browser.
IRR Calculator
Compute the Internal Rate of Return (IRR) of a cash flow by bisection. Useful to compare investments. Everything in your browser.
Z-Score Calculator
Compute the Z-score (standard score) of a value given population mean and standard deviation. Includes corresponding percentile. Everything in your browser.
Percentile Calculator
Compute the percentile of a value in a sample, or the value at a given percentile (p25, p50/median, p75, p99). Everything in your browser.
Basic Statistics Calculator
From a list of numbers, compute mean, median, mode, min, max, sum, standard deviation and variance (population and sample). Everything in your browser.
Blood Alcohol (BAC) Calculator
Estimate blood alcohol content (BAC) using the Widmark formula from drinks, weight, sex and time. Estimate only — do not drive after drinking. Everything in your browser.
Change Breakdown Calculator
Break a change amount into Brazilian banknotes and coins (R$ 200, 100, 50, 20, 10, 5, 2, 1, coins). Useful for cashiers and simulators. Everything in your browser.
Pizza Party Calculator
How many pizzas to order for X people? Estimate based on appetite (light/medium/large) and rodízio preference. Everything in your browser.
Paint Calculator
Calculate how many liters of paint you need for an area (walls, ceiling). Considers coats, coverage per liter and discounts for doors/windows. Everything in your browser.
Tile Calculator
Calculate how many m² of flooring or tile boxes to buy. Includes safety margin (10%, 15%, 20%) for cuts and breakage. Everything in your browser.
Cement and Sand Calculator
Calculate cement bags, sand and gravel for concrete, screed and mortar by ratio (1:3, 1:4, 1:6, etc.). Everything in your browser.
BTU (AC) Calculator
Calculate the ideal BTU/h power for a room — based on area, people, electronics and sun exposure. Everything in your browser.
Battery Life Calculator
Estimate how long a battery (mAh or Wh) lasts given the circuit consumption (mA or W). Includes discharge derating. Everything in your browser.
Solar Panel Calculator
Estimate how many solar panels (Wp) you need to offset monthly electricity consumption (kWh) of a home. Everything in your browser.
Kinetic Energy Calculator
Compute kinetic energy KE = ½ m v² from mass (kg) and velocity (m/s). Result in joules.
Potential Energy Calculator
Compute gravitational potential energy PE = m g h with mass (kg), g and height (m).
Linear Momentum Calculator
Compute linear momentum p = m·v from mass (kg) and velocity (m/s).
Work (Physics) Calculator
Compute work W = F·d·cos(θ). Force in N, displacement in m, angle in degrees.
Average Velocity Calculator
Compute average velocity v = Δs/Δt from distance and time, in km/h or m/s.
Acceleration Calculator
Compute average acceleration a = (v - v₀)/t with velocities in m/s and time in s.
Density Calculator
Compute density ρ = m/V with mass in g and volume in mL. Result in g/mL.
Pressure Calculator
Compute pressure P = F/A with force in N and area in m². Result in Pa, kPa, bar.
Decibel Calculator
Compute decibel ratio: 20·log10(P/Pref) for power or 10·log10(I/Iref) for intensity.
Wave Calculator
Compute v = λ·f from any two of: velocity, wavelength, frequency.
Doppler Effect Calculator
Compute observed frequency in Doppler effect for moving source/observer (sound, c=343 m/s).
Mole Calculator
Compute moles n = m/M (mass / molar mass). Useful for chemistry homework.
Dilution Calculator
Solve the dilution equation C₁V₁ = C₂V₂. Provide any three values to compute the fourth.
pH/pOH Calculator
Convert between [H⁺], [OH⁻], pH and pOH using pH = -log[H⁺] and pH + pOH = 14.
Vector Magnitude Calculator
Compute 3D vector magnitude |v| = √(x² + y² + z²). For 2D leave z=0.
Matrix Determinant 2×2 / 3×3
Compute determinant of 2×2 and 3×3 matrices using Sarrus rule.
Matrix Multiplication
Multiply two matrices A and B (compatible dimensions) and show C = A·B.
3D Distance Calculator
Compute Euclidean distance between two 3D points.
RLC Series Impedance
Compute series RLC impedance Z = √(R² + (X_L − X_C)²).
1RM Calculator
Estimate one-rep max from weight × reps using Epley: 1RM = w · (1 + 0.0333·r).
Steps to Distance Calculator
Convert step count to kilometers using stride length (cm). Default 75 cm.
Blood Glucose Converter
Convert blood glucose between mg/dL and mmol/L using factor 18.0182.
Bitrate Calculator
Compute bitrate = filesize × 8 / duration. Result in kbps and Mbps.
Download Time Calculator
Estimate download time from file size and connection speed.
Video Storage Calculator
Estimate video storage from bitrate and duration.
Uptime / SLA Calculator
Convert uptime SLA percent (99.9% etc.) into allowed downtime per day/week/month/year.
GPA Calculator
Compute weighted GPA from grades and credits, one per line.
Required Final Grade Calculator
Compute the minimum final exam grade needed to reach a target average.
Escape Velocity Calculator
Compute escape velocity (v = √(2GM/r)) for any body. Presets for Earth, Moon, Mars, Jupiter, Sun — or custom.
Thin Lens Calculator
Apply the thin lens equation: 1/f = 1/p + 1/q. Solve for image distance given p and f, or focal length given p and q. Shows magnification.
Coulomb’s Law Calculator
Compute the electric force between two point charges: F = k·|q1·q2|/r². Supports C, mC, µC, nC.
Magnetic Flux Calculator
Compute magnetic flux Φ = B·A·cos(θ) through a uniform field over an area. Result in Webers (Wb).
Series & Parallel Resistance Calculator
Compute equivalent resistance of up to 10 resistors in series (sum) or parallel (1/Σ(1/R)). Accepts Ω, kΩ, MΩ.
Series & Parallel Capacitor Calculator
Compute equivalent capacitance in series (1/Σ(1/C)) or parallel (sum). Inverse of resistor rule.
Series & Parallel Inductor Calculator
Compute equivalent inductance: series sums (L=L1+L2+...) and parallel is 1/Σ(1/L). Same rule as resistors. In Henry (H).
Regular Polygon Calculator
Compute area, perimeter, apothem and interior angle of regular polygons (3-100 sides) given side or circumradius.
Mixed (Hamburg) Interest Calculator
Compute interest using the Hamburg method — used in checking accounts: applies interest on balance per movement, summing debits/credits per day.
CDI Yield Calculator
Compute net yield of CDI-linked investment. Accepts % of CDI (e.g., 110%), term, IR (regressive table) and IOF.
Brazilian Savings Yield Calculator
Compute Brazilian "poupança" yield (current rule: 70% Selic if ≤8.5%, or 0.5%/month + TR). Monthly and final values over N months.
Selic Yield Calculator
Compute Tesouro Selic (LFT) yield — annual Selic rate, term in days, with regressive IR. Shows gross, tax and net.
Debt Snowball Calculator
Simulate paying off a debt with the "snowball" method — minimum payment + extra monthly. Shows months to free and total interest.
Trade-off Calculator
Score multiple options against weighted criteria. Each option gets 0-10 ratings, weighted. Output: final ranking.
Goal Progress Calculator
Compute % done of a goal, projection to period end, and pace needed to finish on time. For sales, reading, training goals.
Fuel Savings Calculator
Compute trip cost and savings vs another vehicle (more/less efficient). Shows savings in $ and liters.
Haversine Distance Calculator
Compute great-circle distance between two coordinates (lat1,lon1 and lat2,lon2) using the Haversine formula.
Projectile Max Height Calculator
Compute max height, range and flight time of an obliquely launched projectile (v0 and angle θ). No air drag (g=9.81 m/s²).
Annual ⇄ Monthly Rate Converter
Convert between equivalent annual, monthly and daily rates (compound): (1+i)ⁿ. E.g., yearly to monthly equivalent.
Cutoff by Percentile Calculator
Given a set of scores and a cutoff percentile (e.g., top 10%), compute the minimum score to make the cut. Useful for college admissions, HR.
Wire Resistance Calculator
Compute conductor resistance R = ρL/A.
LED Resistor Calculator
Compute LED current-limiting resistor R = (V_supply − V_LED)/I_LED with dissipated power.
Capacitors in Series
Compute equivalent capacitance of series capacitors. Values in μF, one per line.
Capacitors in Parallel
Sum capacitances of parallel capacitors. Values in μF, one per line.
Inductors in Series
Sum inductances in series or parallel. Values in mH.
Power Factor Calculator
Compute power factor cos(φ) = P/S and angle from active (W) and apparent (VA) power.
Photon Energy Calculator
Compute photon energy E = h·c/λ from wavelength in nanometers.
De Broglie Wavelength
Compute De Broglie wavelength λ = h/p.
Wind Chill Calculator
Compute Wind Chill (NWS formula, T ≤ 10°C and wind ≥ 5 km/h).
Dew Point Calculator
Compute dew point from temperature and relative humidity (Magnus formula).
Heat Index Calculator
Compute heat index from temperature (°C) and relative humidity (NOAA, valid for T ≥ 27°C).
Speed of Sound in Air
Compute speed of sound in air: v = 331.3 + 0.606·T (m/s).
Reynolds Number Calculator
Compute Reynolds number Re = ρ·v·D/μ.
Pearson Correlation Coefficient
Compute Pearson correlation coefficient r between X and Y lists.
Coefficient of Variation
Compute coefficient of variation CV = σ/μ × 100%.
Binomial Distribution
Compute P(X = k) and P(X ≤ k) in binomial distribution B(n, p).
Poisson Distribution
Compute P(X = k) and P(X ≤ k) in Poisson(λ).
Normal Distribution PDF/CDF
Compute Normal(μ, σ) PDF and CDF at a point.
Numerical Derivative
Compute numerical derivative f-prime(x) by central difference for a simple function.
Trapezoid Integral
Approximate ∫ₐᵇ f(x)dx by composite trapezoid rule.
Newton-Raphson Method
Find roots of f(x)=0 by Newton-Raphson with numerical derivative.
Bisection Method
Find a root of f(x)=0 in [a,b] by bisection (requires sign change).
Linear Regression (Least Squares)
Fit y = a·x + b by least squares; reports slope, intercept, R².
PMT Loan Payment Calculator
Compute fixed loan payment PMT = PV·i / (1−(1+i)^(−n)).
Present / Future Value
Convert between PV and FV: FV = PV·(1+i)ⁿ.
Kepler Orbital Period
Compute orbital period T = 2π√(a³/GM) from semi-major axis (m) and central mass (kg).
Carnot Efficiency
Compute Carnot efficiency η = 1 − T_cold/T_hot. Temperatures in Kelvin.
Point Charge Electric Field
Compute |E| = k·|Q|/r² for a point charge at distance r in vacuum.
Buoyancy (Archimedes)
Compute buoyancy force E = ρ·V·g for a submerged body.
ICMS (Brazilian VAT) Calculator
Compute Brazilian ICMS by inside-the-price: ICMS = base × rate / (1 − rate).
ISS (Brazilian Service Tax) Calculator
Compute Brazilian ISS service tax from gross value and municipal rate.
Lawyer Fees Calculator (Brazil)
Compute lawyer fees as % of case value with IR (1.5%) and optional ISS deductions.
Pro-Rata Rent Calculator
Compute pro-rata rent for partial months (move-in/out). Rent × days/month.
13th Salary Pro-Rata
Compute Brazilian 13th salary pro-rated by months worked (15+ day fraction counts as full month).
FGTS Severance Penalty
Compute Brazilian FGTS severance penalty (40% no fault, 20% mutual agreement).
Brazilian Rental Income Tax (Individual)
Compute Brazilian rental income tax for individuals using progressive monthly table.
Monetary Correction Calculator
Apply accumulated index (IPCA, INPC, IGP-M) percentage to a base value.
Late Payment Interest + Penalty
Compute late payment interest (simple per day) plus fixed penalty.
SAC Amortization Schedule
Generate SAC amortization schedule (decreasing payments with constant principal).
Price Amortization Schedule
Generate Price amortization schedule (fixed payments) with interest/principal split.
Retirement Projection
Project retirement savings with monthly contribution and monthly rate; shows final balance and lifetime monthly income.
Monthly Savings Goal
Compute monthly savings needed to reach a target in N months given monthly interest rate.
Savings vs CDI Comparison
Compare Brazilian savings vs CDB earning X% of CDI/Selic.
Total Cost of Ownership Calculator
Sum Total Cost of Ownership: purchase + monthly maintenance × months + variable costs.
ROE / ROA Calculator
Compute ROE = profit/equity and ROA = profit/assets.
CAC Payback Calculator
Compute CAC payback in months = CAC / monthly ARPU.
Cohort Retention Calculator
Compute cohort retention rate by month.
Conversion Funnel Calculator
Compute step-to-step conversion rates and overall % through a funnel.
Cylinder Moment of Inertia
Compute solid cylinder moment of inertia I = ½·m·r².
Sphere Moment of Inertia
Compute solid sphere (I = 2/5·m·r²) or hollow shell (I = 2/3·m·r²) moment of inertia.
Circular Orbital Velocity
Compute circular orbital velocity v = √(GM/r) given central mass and orbital radius.
Parsec ↔ Light-year
Convert distances between parsecs, light-years, AU and km.
Redshift z → velocity (Doppler)
Compute radial velocity from redshift z (non-rel for z<0.1, relativistic above).
Apparent vs Absolute Magnitude
Compute absolute magnitude M from apparent m and distance, or vice versa (parsecs).
Schwarzschild Radius
Compute Schwarzschild radius Rs = 2GM/c² for a given mass.
Osmotic Pressure
Compute osmotic pressure π = M·R·T using R=0.0821 L·atm/mol·K.
Radioactive Half-life
Compute remaining amount A = A₀·(1/2)^(t/T) for radioactive decay.
Terminal Velocity
Estimate terminal velocity v = √(2mg/(ρ·A·Cd)).
Mach Number from Temperature
Compute local sound speed from temperature and Mach number M = v/a.
Drag Coefficient (Cd)
Compute drag coefficient Cd = 2F/(ρ·v²·A).
Poisson Ratio (ν)
Compute Poisson ratio ν from transverse and longitudinal strains.
Shear Stress Calculator
Compute shear stress τ = F/A. Output in Pa, kPa and MPa.
Light Travel Time
Compute light travel time across a distance (km, AU, light-years).
π Estimation (Monte Carlo)
Estimate π by Monte Carlo: 4 × (points inside unit circle / total).
Spearman Correlation (ρ)
Compute Spearman rank correlation ρ between X and Y lists.
Median and Quartiles
Compute min, Q1, median, Q3 and max with linear interpolation.
Outlier Detection (IQR Rule)
Detect outliers using IQR rule (outside Q1−1.5·IQR or Q3+1.5·IQR).
Z Table (Normal CDF)
Compute P(Z ≤ z) and P(|Z| ≤ z) for the standard normal distribution.
eGFR Calculator (CKD-EPI 2009)
Compute estimated GFR by CKD-EPI 2009 from serum creatinine, age, sex and race.
Body Surface Area (Mosteller)
Compute BSA by Mosteller formula: BSA = √(h·w/3600).
Pediatric Dose (Clark Rule)
Compute pediatric dose by Clark Rule: child = (weight_lb / 150) × adult dose.
Apgar Score
Compute newborn Apgar score (5 criteria × 0-2 = 0-10).
Glasgow Coma Scale
Compute Glasgow Coma Scale: eye (1-4) + verbal (1-5) + motor (1-6) = 3-15.
Estimated Due Date
Compute estimated due date using Naegele rule: LMP + 280 days.
Gestational Age
Compute gestational age in weeks/days from LMP to today.
Cable Voltage Drop
Compute voltage drop ΔV = 2·ρ·L·I/A in cable.
Minimum Cable Size (NBR 5410)
Recommend minimum copper cable size (mm²) for residential single-phase circuit by current.
Estimated Short-Circuit Current
Estimate short-circuit current Icc = V/Z for breaker sizing.
Bricks per Wall Calculator
Compute number of bricks needed for a wall by dimensions and brick type.
Wall Concrete Volume
Compute concrete volume m³ + cement/sand/gravel estimates for a wall.
Paint Coverage Calculator
Compute paint liters needed for an area, given coverage per liter and coats.
Tile Quantity Calculator
Compute tile quantity for an area given tile dimensions and 10% waste.
SaaS Magic Number
Compute SaaS Magic Number = (ARR_current − ARR_prev) × 4 / S&M_prev.
Net Dollar Retention
Compute NDR = (start ARR + expansion − churn − contraction) / start ARR × 100.
SaaS Quick Ratio
Compute SaaS Quick Ratio = (new + expansion) / (churn + contraction).
SaaS Rule of 40
Compute Rule of 40 = revenue growth % + operating margin %.
Burn Multiple
Compute Burn Multiple = net burn / new ARR. <1 excellent, >2 inefficient.
Swimming Pace (per 100m)
Compute swimming pace per 100m from distance and time.
Creatinine Clearance (Cockcroft-Gault)
Compute creatinine clearance by Cockcroft-Gault formula.
Plasma Osmolarity
Estimate plasma osmolarity: 2·Na + glucose/18 + BUN/2.8.
Anion Gap Calculator
Compute anion gap: (Na + K) − (Cl + HCO3). Normal: 8-16 mEq/L.
Henderson-Hasselbalch Buffer pH
Compute buffer pH: pH = pKa + log10(base/acid).
Hydrostatic Pressure
Compute hydrostatic pressure P = ρ·g·h.
Projectile Range Calculator
Compute projectile horizontal range from v₀, angle and initial height.
Projectile Max Height
Compute projectile maximum height.
Projectile Time of Flight
Compute projectile total time of flight including initial height.
Weight on Other Planets
Compute your weight across Solar System bodies (Mercury to Sun).
Cubic Equation Solver
Solve cubic ax³+bx²+cx+d=0 by Cardano formula. Shows real and complex roots.
Big Factorial (BigInt)
Compute n! up to 1000 with BigInt and show full result + digit count.
Permutations P(n,k)
Compute permutations P(n,k) = n!/(n-k)!.
Arrangements A(n,k)
Compute arrangements A(n,k) (same as permutations).
Modular Exponentiation
Compute b^e mod m with fast exponentiation BigInt. Fundamental in crypto.
Euler Totient Function φ(n)
Compute Euler totient φ(n).
GCD with Bezout Coefficients
Compute gcd(a,b) and Bezout coefficients x,y where a·x + b·y = gcd.
Perfect Number Checker
Check if n is a perfect number; list its divisors.
Complex Numbers Operations
Add, subtract, multiply and divide two complex numbers; includes modulus and argument.
Eigenvalues 2×2 Matrix
Compute eigenvalues of 2×2 matrix solving λ² − (a+d)λ + (ad−bc) = 0.
Determinant of 4×4 Matrix
Compute determinant of 4×4 matrix by Laplace expansion.
Molar Mass Calculator
Compute molar mass of a chemical formula (H2O, C6H12O6, NaCl) by summing atomic weights. 50 most-used elements.
Speed of Light Calculator (E=mc²)
Apply formulas involving c (speed of light): mass-energy equivalence (E=mc²) and light travel time over a distance.
Cosmological Redshift Calculator
Compute redshift z = (λ_obs - λ_emit) / λ_emit and approximate radial velocity (non-relativistic Doppler).
Percent Error Calculator
Compute percent and absolute error between an experimental value and a theoretical/expected one.
Measurement Uncertainty (Propagation) Calculator
Compute propagated uncertainty in sum, product, division and power, given source uncertainties (RSS rule).
Radioactive Half-life Calculator
Compute remaining mass after N half-lives (m = m₀ × 0.5^n), time to reach a target fraction, and decay rate.
Bacterial Growth Calculator
Compute bacteria count after N divisions (N = N₀ × 2^t/td) — where td is doubling time. For microbiology and exponential growth.
Drug Dose Calculator (per kg)
Compute total drug dose (mg) from mg/kg posology and patient weight. Not medical advice.
IV Drip Rate Calculator
Compute drip rate (drops/min) of IV solution from volume, time and drop factor (20 gtt/mL = standard). For nursing.
Shipping Cost Calculator
Estimate shipping cost from weight, distance, $/kg/km and flat fee. Simple model for sales and e-commerce.
ICMS-ST Tax Substitution Calculator
Compute Brazilian ICMS-ST from goods value, MVA, internal and interstate tax rates. Official invoice formula.
PIS & COFINS Tax Calculator
Compute Brazilian PIS (0.65% / 1.65%) and COFINS (3% / 7.6%) on revenue. For common tax regime.
Brazilian Personal Income Tax Calculator (Monthly)
Compute Brazilian monthly IRPF using the progressive 2024/2025 table (5 brackets).
Sales Commission Calculator
Compute sales commission with progressive targets: lower % until quota, higher % after. Shows commission and total earned.
Car Rental Cost Calculator
Estimate total car-rental cost: daily × days + extra-km + fuel + fees. Compares options.
Heart Rate Zones Calculator (Karvonen)
Compute the 5 training zones (recovery, warmup, aerobic, threshold, max) using the Karvonen formula. Age + resting HR.
Tabata Time Calculator
Compute total Tabata workout time: 8 rounds × (20s on + 10s off) by default. Configurable rounds, on, off, blocks.
Pomodoro Sessions Calculator
Compute total time for a Pomodoro session: 25 min focus + 5 min break, with long break every 4 rounds.
M/M/1 Queue (Cinema) Calculator
Apply M/M/1 queue theory to a cinema: given arrival (λ) and service (µ) rates, compute mean queue time and counter utilization.
Queue Wait Time Estimator
Estimate wait time in a queue: position × mean service time. Accounts for parallel servers (counters).
Star Distance (Light-years) Calculator
Convert light-years to other units (parsec, AU, km) and compute when light was emitted (Sirius = 8.6 years ago).
Erlang C Call-Center Calculator
Compute number of agents needed in a call center using the Erlang C formula — given traffic, service level and mean call time.
Resource Utilization Calculator
Compute resource utilization (CPU, machine, person) — busy time / total available time. Shows efficiency and idle time.
Overtime Pay Calculator (BR CLT)
Compute overtime (50% normal, 100% Sun/holiday, 20% night). Standard Brazilian CLT for monthly employees.
PL (Net Price as % of Sales) Calculator
Compute the Net Price (PL) breakdown over sales: cost, expenses, profit. Shows final PL and net margin.
ROAS (Return on Ad Spend) Calculator
Compute ROAS = revenue / ad cost. Shows break-even and flags whether the campaign was profitable (ROAS > 1).
CAC (Customer Acquisition Cost) Calculator
Compute CAC = (marketing + sales costs) / customers acquired. Compares to LTV to validate business health (LTV/CAC ≥ 3).
Truncated Cone Volume Calculator
Compute volume and lateral area of a truncated cone: V = (π·h/3)·(R²+r²+R·r). For containers and construction.
Pyramid Volume Calculator
Compute volume of a regular pyramid (square base): V = (base area × height) / 3. Also shows lateral and total area.
Hexagonal Prism Volume Calculator
Compute volume and area of a regular hexagonal prism: V = (3√3/2)·a²·h. For 3D geometry, packaging, crystallography.
Truncated Cone Area Calculator
Compute the total surface area of a truncated cone (R, r, h): A = πR² + πr² + π(R+r)·g, where g is the slant.
Sit-and-Reach (Flexibility) Calculator
Assess posterior chain flexibility via sit-and-reach. Compare your value with reference tables by gender and age.
Waist-Hip Ratio Calculator
Compute waist-hip ratio (waist ÷ hip) — cardiovascular risk indicator. Classifies low, moderate, high by gender.
BIA (Bioelectrical Impedance) Calculator
Estimate body fat % from electrical impedance (Z in ohms), weight, height, age, gender. Lukaski (1986) formula.
RMR (Resting Metabolic Rate) Calculator
Compute resting metabolic rate (kcal/day) using Mifflin-St Jeor — modern formula more accurate than Harris-Benedict.
Healthy Weight Range Calculator
Compute minimum healthy weight (BMI=18.5) and maximum recommended (BMI=24.9) for a height. Shows healthy range.
Pros & Cons Decision Maker
Evaluate a decision with weighted pros and cons (1-5). Compute final weighted balance and recommend (yes, no, undecided).
Virtual Race Pace Calculator
Estimate race pace (5K, 10K, 21K, 42K) from easy-training pace. Uses Daniels-VDOT approximation.
Pace ⇄ Time ⇄ Distance Calculator
Solve the triad pace (min/km), time (h:m:s) and distance (km). Provide any two and compute the third.
Multiplier (Proportion) Calculator
Given X of a quantity in Y total, compute multiplier for other quantities. For recipes, scaling, dosing.
Volumetric Weight Calculator
Compute volumetric weight: (L × W × H cm) / factor (5000 air, 6000 ground). Compare to actual weight.
Carbon Footprint (Trip) Calculator
Estimate CO₂ emissions from trips: car (gasoline, ethanol, diesel, electric), plane, bus. Inputs: distance and mode.
Monthly Carbon Balance Calculator
Compute monthly carbon balance: emissions (car, flights, electricity, food) minus offsets (trees, credits). In kg CO₂.
LED vs Incandescent Savings Calculator
Compute savings replacing incandescent with LED: kWh/year, $/year, payback. Inputs: lamps count and hours/day.
Savings vs CDB Comparison
Compare poupança vs CDB (% of CDI) over N months. Shows which yields more and the difference in $ and %.
CDB Multi-Scenario Calculator
Simulate CDB pre, post (% of CDI) and hybrid (IPCA + spread). With regressive IR. Final value and net yield.
LCI/LCA Calculator (no IR)
Simulate LCI (real estate) or LCA (agribusiness): % of CDI, term. Since IR-exempt, net = gross. Compares to equivalent CDB.
Treasury Prefixed Calculator (Brazil)
Simulate Treasury Prefixed: agreed annual rate, term to maturity. Applies regressive IR and shows redemption value.
Treasury IPCA+ Calculator
Simulate Treasury IPCA+: real annual rate + projected IPCA. Applies regressive IR. Shows real and nominal yield.
4-Way Investment Comparison
Compare 4 investments side-by-side: savings, CDB 100% CDI, LCI 95% CDI, Treasury Prefixed 11%. For a given value and term.
Time to Goal Calculator
Compute in how many months a monthly contribution + initial balance reaches a financial goal. With monthly interest rate.
Accessible Font Size Calculator
Compute minimum font size for WCAG 2.1 accessibility: AA (16px body, 24px heading), AAA (18.66px body, 36px heading). Configurable.
Substance Half-Life Calculator
Compute how long for a substance to leave the body (5 half-lives = undetectable). Caffeine, alcohol, nicotine, common drugs.
Generator Frequency Calculator
Compute generator output frequency (N poles × M rpm): f = (P × N) / 120. Hz output for Brazil (60) and Europe (50).
Cutoff Frequency Calculator (RC/RL/LC)
Compute cutoff frequency (-3dB) of passive filters: RC, RL, LC. For analog circuits.
Amplifier Gain (dB) Calculator
Compute amplifier gain in dB and voltage/power factor. dB = 20·log₁₀(V_out/V_in) = 10·log₁₀(P_out/P_in).
Cable Characteristic Impedance Calculator
Compute characteristic impedance Z₀ of cables: coaxial, twisted pair, microstrip. Z₀ = √(L/C). For impedance matching.
Coaxial Cable Loss Calculator
Compute total dB loss of a coaxial cable: length × attenuation per meter. For RF, specific frequency, cable type (RG-58, RG-213, etc.).
Monthly Poupança Yield Tracker
Compute month-by-month poupança yield showing accumulated balance per month. Visualize compound curve with monthly deposit.
Late Rent Interest+Penalty Calculator
Compute penalty (2% statutory) + interest (1% monthly) + IGP-M correction on late rent. Total due amount.
Stock Market Long-Term Yield Calculator
Simulate stock market long-term yield: initial + monthly contribution × N years × annual rate. Compares to fixed income.
Time to Lose Weight Calculator
Estimate time to lose X kg given a daily caloric deficit. Uses 7700 kcal per kg of fat. For health goals.
Credit Card Annual Fee Calculator (12x)
Compute credit card annual fee impact when paid in 12 installments. Shows monthly value and % of limit.
PayPal/PicPay Withdrawal Time Calculator
Estimate when money arrives in bank account from PayPal/PicPay balance. Considers business days and weekends.
Fixed Income vs Stocks (Long Term)
Compare growth of $X in fixed income (constant rate) vs stocks (vol simulated via stdev). N years.
Time to Pay Off Loan Calculator
Compute months to pay off a loan given balance, monthly rate, and monthly payment. Shows total interest.
Monthly Income from Capital Calculator
Compute approximate monthly income from invested capital, given net annual rate. Useful for "live off interest" planning.
FII (REIT) Yield Calculator
Compute monthly and annualized yield of a Real Estate Fund (FII): cota price × monthly dividend. Shows return vs CDI.
Stock Trade Profit Calculator
Compute profit/loss on stock buy/sell: buy price, sell price, qty, fees. 15% IR on profit.
Crypto Profit/Loss Calculator
Compute crypto profit/loss: buy price, current price, qty. 15% IR on profit above R$35k monthly sales.
Credit Card Interest Impact Calculator
Compute explosive effect of credit card revolving (12-15% monthly) on unpaid debt. Month-by-month growth.
Startup Runway / Burn Rate Calculator
Compute runway (months until cash zeroes) from current balance and monthly burn rate. Classic startup indicator.
Emergency Fund Calculator
Compute emergency fund target: monthly expenses × 6 (min) or × 12 (recommended). Considers inflation.
Mole Fraction Calculator
Compute the mole fraction (x = solute moles / total moles) of a mixture.
Clausius-Clapeyron Vapor Pressure
Estimate P2 with the simplified Clausius-Clapeyron equation from P1, T1, T2 and ΔHvap (J/mol).
Reaction Enthalpy
Compute ΔHrxn = ΣΔHf(products) − ΣΔHf(reactants) in kJ/mol.
Reaction Entropy
Compute ΔSrxn = ΣS°(products) − ΣS°(reactants) in J/(mol·K).
Gibbs Free Energy of Reaction
Compute ΔG = ΔH − T·ΔS (kJ/mol) for a reaction.
Spin-Only Magnetic Moment
Compute the spin-only magnetic moment µ = √(n(n+2)) in Bohr magnetons.
Lorentz Force
Compute the magnetic force F = q·v·B·sin(θ) on a moving charge.
Larmor Frequency
Compute the Larmor angular frequency ω = γ·B (rad/s).
Relativistic Time Dilation
Compute time dilation t' = t / √(1 − v²/c²) from Special Relativity.
Relativistic Length Contraction
Compute L = L₀·√(1 − v²/c²), the Lorentz length contraction.
Relativistic Total Energy
Compute total energy E = γ·m·c² (J) with γ the Lorentz factor.
Particle Angular Momentum
Compute the angular momentum L = m·v·r·sin(θ) of a particle.
Wavenumber
Compute the angular wavenumber k = 2π/λ (rad/m).
RGB Color Temperature
Estimate the correlated color temperature (Kelvin) of an RGB color via McCamy approximation.
Young Equation
Compute γSL = γSV − γLV·cos(θ) from Young's equation.
Jurin Capillarity
Compute capillary rise h = 2·γ·cos(θ)/(ρ·g·r) via Jurin's law.
Darcy-Weisbach Head Loss
Compute head loss hf = f·(L/D)·v²/(2g) using Darcy-Weisbach.
Froude Number
Compute the Froude number Fr = v/√(g·L).
Weber Number
Compute the Weber number We = (ρ·v²·L)/σ.
Wind Chill Index
Compute wind chill via the NWS formula.
Height from Arm Span
Estimate stature from arm span via the practical ratio rule.
Fat-Free Mass Index
Compute FFMI = lean mass (kg) / height² (m²).
Tanaka Max Heart Rate
Estimate max HR with Tanaka's formula: HRmax = 208 − 0.7 × age.
Gulati Max Heart Rate
Estimate female max HR via Gulati: HRmax = 206 − 0.88 × age.
Equivalent Radiation Dose
Compute equivalent dose H = D × WR (Sv).
Caffeine Decay
Estimate remaining caffeine after t hours assuming 5h half-life.
Blood Alcohol Decay
Estimate BAC after t hours using the linear Widmark elimination rate.
Aircraft Takeoff Speed
Estimate rotation speed VR ≈ 1.1·Vstall as a practical rule of thumb.
Stall Speed
Compute Vstall = √(2·m·g/(ρ·S·CLmax)).
Takeoff Distance Estimate
Estimate takeoff distance d ≈ V²/(2·a).
Jet Engine Thrust
Compute thrust F = ṁ·(Ve − V0).
Landing Distance Estimate
Estimate landing distance d ≈ V²/(2·a).
Aircraft Fuel Efficiency
Compute aircraft fuel efficiency = distance / fuel.
Density Altitude
Estimate density altitude DA = PA + 120·(OAT − ISA) in feet.
Parachute Terminal Velocity
Compute terminal velocity Vt = √(2·m·g/(ρ·Cd·A)).
Circular Orbit Period
Compute T = 2π·√(r³/(G·M)) for a circular orbit.
Journal Impact Factor
Compute JIF = citations / articles published in the two prior years.
Citations Per Paper
Compute average citations per paper = total citations / total papers.
Battery Life (mAh)
Estimate battery life: t (h) = capacity (mAh) / draw (mA).
Battery Charge Time (mAh)
Estimate charge time t (h) = capacity (mAh) / charger current (mA).
TMB Mifflin-St Jeor
Calcula taxa metabólica basal pela fórmula Mifflin-St Jeor (mais precisa para adultos).
TMB Katch-McArdle
Calcula TMB usando massa magra (mais preciso para atletas).
Água Diária por kg
Calcula consumo diário de água recomendado: 35 ml por kg de peso corporal.
Proteína Diária por kg
Calcula gramas diárias de proteína com base em objetivo (sedentário 0.8, ativo 1.4, hipertrofia 2.0 g/kg).
Gordura Corporal Navy
Calcula % gordura corporal pelo método US Navy usando circunferências.
VO₂max Cooper Test
Calcula VO₂max pelo teste de Cooper (12 min corrida): (distância_m − 504.9) / 44.73.
FC Zona Karvonen
Calcula faixa-alvo de frequência cardíaca pelo método Karvonen: FC_repouso + %·(FC_máx − FC_repouso).
1RM Brzycki
Estima 1 repetição máxima (1RM) pela fórmula Brzycki: peso × 36 / (37 − reps).
1RM OConner
Estima 1RM pela fórmula OConner: peso × (1 + 0.025 × reps).
Gasto Calórico por MET
Calcula calorias gastas: MET × 3.5 × peso(kg) / 200 × minutos.
IMC Infantil (Z-Score aprox)
Calcula IMC e classifica pela tabela CDC aproximada (5-17 anos).
Altura Adulta Estimada
Estima altura adulta pelo método mid-parental: ((pai+mãe)±13)/2.
FC Recuperação 1 min
Calcula recuperação cardíaca: FC_pico − FC_após_1min. Excelente >25, bom 16-25, regular ≤15.
VO₂max Rockport (1.6 km)
Calcula VO₂max pelo Rockport walking test (1 milha = 1.609 km).
Idade Biológica (estimativa)
Estimativa simplificada: idade cronológica ± fatores de estilo de vida (sono, exercício, fumo).
Pico Frequência Respiratória
Estima FR máxima por idade: 220−idade ÷ 4 (aprox).
Zonas de Treino (5 zonas)
Calcula 5 zonas de FC com base em FC máxima (50-60%, 60-70%, 70-80%, 80-90%, 90-100%).
Balanço Energético Diário
Calcula superávit/déficit calórico: ingestão − gasto total (TMB×fator atividade).
Déficit p/ Perda Semanal
Calcula déficit diário necessário para perder X kg/sem (1 kg gordura ≈ 7700 kcal).
Ritmo de Corrida (min/km)
Calcula pace por km a partir de distância e tempo total em minutos.
DARF Aluguel (Carnê-Leão)
Calcula DARF sobre rendimento de aluguel (tabela progressiva IRRF mensal).
DARF Day Trade
Calcula DARF 20% sobre lucro líquido em day trade (descontando taxas).
DARF Swing Trade
Calcula DARF 15% sobre lucro mensal acima de R$ 20 mil em vendas.
DARF Cripto
Calcula DARF cripto: isento até R$ 35 mil/mês; acima, 15% sobre ganho.
Carnê-Leão Mensal
Calcula imposto mensal pela tabela progressiva (rendimentos do exterior, autônomos).
INSS Autônomo
Calcula contribuição INSS de autônomo (11% ou 20% sobre o salário declarado, respeitando teto).
INSS Facultativo
Calcula contribuição facultativa baixa renda (5%), simplificada (11%) ou normal (20%).
Pró-Labore Líquido
Calcula pró-labore líquido descontando INSS 11% e IRRF progressivo.
Dividend Yield (DY)
Calcula DY anual: dividendos pagos / preço da ação × 100.
P/L (Preço/Lucro)
Calcula múltiplo P/L: preço da ação dividido pelo LPA.
ROE
Calcula Return on Equity: lucro líquido / patrimônio líquido × 100.
ROI de Investimento
Calcula retorno sobre investimento: (ganho − custo) / custo × 100.
Margem Bruta
Calcula margem bruta: (receita − CMV) / receita × 100.
Markup vs Margem
Converte markup % em margem %: margem = markup/(1+markup).
Ponto de Equilíbrio
Calcula ponto de equilíbrio: custos_fixos / (preço − custo_variável).
Impacto Taxa Adm. Fundos
Mostra como a taxa de administração corrói o rendimento de um fundo ao longo dos anos.
IPI sobre Produto
Calcula IPI: base × alíquota / 100.
ICMS Interestadual
Calcula ICMS interestadual (7% S/SE para outras regiões, 12% caso contrário).
ITBI por Município
Calcula ITBI sobre transmissão de imóvel (alíquota típica 2% a 3%).
ITCMD por Estado
Calcula ITCMD (herança/doação) por alíquota estadual (típico 4% SP, 4-8% RJ).
Multiplicador de Receita
Multiplica os ingredientes de uma receita pelo fator desejado (linha por linha).
Tempo de Cozimento do Ovo
Indica tempo de cozimento em água fervente: mole 4 min, médio 7 min, duro 10 min.
Churrasco kg por Pessoa
Calcula quantidade de carne para churrasco: 400 g por adulto, 200 g por criança.
Bebida em Festa
Estima quantidade de bebidas para uma festa por categoria de convidado.
Rendimento de Receita
Calcula quantas porções uma receita rende ao alterar o peso de uma porção padrão.
Tempo p/ Descongelar (Geladeira)
Estima tempo para descongelar carnes na geladeira: aprox. 24 h por 2 kg.
Duração de Nota por BPM
Calcula a duração em ms de cada figura rítmica para um dado BPM.
Intervalo Musical (semitons)
Identifica o intervalo musical a partir do número de semitons entre duas notas.
1RM Lombardi
Estima 1RM pela fórmula Lombardi: peso × reps^0.10.
FC Máxima Tanaka
FC máxima pela fórmula Tanaka: 208 − 0.7 × idade.
Gordura YMCA Circ.
Calcula % gordura corporal por circunferência da cintura (homem) ou método YMCA simplificado.
FFMI (Fat-Free Mass Index)
Calcula índice de massa livre de gordura: LBM / altura² (kg/m²).
Anos-luz → Tempo
Tempo (anos) para percorrer uma distância em anos-luz a uma % da velocidade da luz.
IMC Adultos (Bayer)
Calcula IMC e classifica conforme OMS (adultos ≥20 anos).
Tempo Prensa Pó de Café
Estima tempo ideal de extração espresso (25-30s para 30 ml).
Fatoração em Primos
Decompõe um inteiro em fatores primos (ex: 360 = 2³·3²·5).
MDC (Algoritmo de Euclides)
Calcula MDC (máximo divisor comum) de dois inteiros usando algoritmo de Euclides.
MMC de Dois Números
Calcula mínimo múltiplo comum (MMC) de dois inteiros: |a·b| / mdc(a,b).
Inverso Modular
Calcula a⁻¹ mod m pelo algoritmo extendido de Euclides (existe se mdc(a,m)=1).
Exponenciação Modular
Calcula bᵉ mod m de forma eficiente (square-and-multiply).
Raízes Equação Quadrática
Resolve ax²+bx+c=0 mostrando discriminante e raízes (reais ou complexas).
Raízes Cúbica (Cardano)
Resolve x³+px+q=0 pela fórmula de Cardano (forma deprimida).
Matriz 2×2 Det e Inversa
Calcula determinante e inversa de matriz 2×2 [[a,b],[c,d]].
Determinante Matriz 3×3
Calcula determinante de matriz 3×3 pela regra de Sarrus.
Produto Vetorial 3D (Cross)
Calcula a × b para dois vetores 3D — resultado é ortogonal aos dois.
Produto Escalar 3D (Dot)
Calcula a · b = aₓbₓ + a_yb_y + a_zb_z (escalar).
Magnitude de Vetor 3D
Calcula |v| = √(x² + y² + z²).
Soma de Números Complexos
Soma (a + bi) + (c + di) = (a+c) + (b+d)i.
Multiplicação de Complexos
Multiplica (a + bi) × (c + di) = (ac − bd) + (ad + bc)i.
Módulo e Fase de Complexo
Para z = a + bi, calcula |z| = √(a²+b²) e arg(z) = atan2(b,a).
Polinômio (Horner)
Avalia polinômio em x usando método de Horner. Coeficientes do maior para o menor grau separados por vírgula.
Linha do Triângulo de Pascal
Gera a n-ésima linha (n=0,1,...) do triângulo de Pascal.
Fibonacci N-ésimo
Retorna o n-ésimo termo da sequência de Fibonacci (F₀=0, F₁=1).
Fatorial Grande (BigInt)
Calcula n! como BigInt para n grande (precisão arbitrária).
Coeficiente Binomial C(n,k)
Calcula C(n,k) = n! / (k!·(n-k)!) sem overflow para n ≤ 1000.
Permutações P(n,k)
Calcula P(n,k) = n! / (n-k)! — arranjos de k em n.
Combinações C(n,k)
Calcula combinações simples C(n,k) — escolher k de n sem ordem.
MDC de Múltiplos Números
Calcula MDC de uma lista de inteiros (separados por vírgula).
Teste de Primalidade
Verifica se n é primo (trial division até √n) — adequado para n até ~10¹².
Função φ de Euler (Totiente)
Calcula φ(n) = quantidade de inteiros em [1,n] coprimos com n. Usa fatoração.
Frações Parciais 1/(ax+b)(cx+d)
Decompõe 1/((ax+b)(cx+d)) = A/(ax+b) + B/(cx+d). Requer ad ≠ bc.
Z-Score de Valor
Calcula z = (x − μ) / σ — quantos desvios x está da média.
Estatística t (1 amostra)
Calcula t = (x̄ − μ₀) / (s/√n) para teste t de uma amostra.
Qui-Quadrado (Goodness-of-Fit)
Calcula χ² = Σ (O−E)²/E para listas O e E de mesma dimensão.
Correlação Linear (Pearson r)
Calcula r de Pearson entre dois conjuntos de mesmo tamanho.
Correlação Spearman (ρ)
Calcula correlação por postos (Spearman) — robusta a outliers e não-lineares monotônicas.
Regressão Linear y = ax + b
Ajusta reta y = ax + b por mínimos quadrados a partir de pares X, Y.
Normal CDF Φ(z) (aprox)
Aproxima Φ(z) (acumulada da N(0,1)) via erf de Abramowitz-Stegun.
Normal PDF f(x; μ,σ)
Calcula f(x) = 1/(σ√(2π))·e^(−(x−μ)²/(2σ²)).
Erro Padrão da Média (SEM)
Calcula SEM = s / √n para uma amostra.
IC da Média (z, σ conhecido)
IC para μ com σ conhecido: x̄ ± z·σ/√n. Aceita 90%, 95%, 99%.
p-valor Z (uma cauda)
Calcula p-valor unilateral a partir de estatística z (cauda à direita).
Estatísticas Descritivas
Calcula média, mediana, moda, variância e desvio-padrão de uma lista.
Quartis e IQR
Calcula Q1, Q2 (mediana), Q3 e IQR = Q3 − Q1 (método dos percentis lineares).
MAD (Desvio Absoluto Mediano)
Calcula MAD = mediana(|xᵢ − mediana(x)|) — medida robusta de dispersão.
RMSE entre Listas
Calcula RMSE = √(Σ(yᵢ − ŷᵢ)² / n) entre duas listas de mesmo tamanho.
Amplitude, Variância e Desvio
Calcula amplitude (max−min), variância amostral (s²) e desvio-padrão amostral (s).
Média Ponderada
Calcula (Σ wᵢxᵢ) / (Σ wᵢ) a partir de listas de valores e pesos.
Média Geométrica
Calcula (x₁·x₂·…·xₙ)^(1/n). Todos os xᵢ devem ser positivos.
Média Harmônica
Calcula n / Σ(1/xᵢ). Útil para taxas e velocidades médias.
Rank Percentil de Valor
Calcula a posição percentual de x no conjunto: 100·(L + 0.5·E)/n.
Probabilidade Soma de Dados
P(soma = s) com N dados de 6 faces — via DP (convolução).
Probabilidade Sequência de Caras
P(pelo menos k caras seguidas em n lançamentos de moeda justa) — DP.
Odds Loteria 6/60
Calcula 1 em C(60,6) = chances de acertar 6 números numa loteria 6/60.
Blackjack Estratégia Básica
Lookup da estratégia básica (deck único, dealer hits soft 17) para mão do jogador vs upcard.
Avaliador Mão Poker (5 cartas)
Classifica mão de 5 cartas (ex: "AS,KS,QS,JS,TS"). Naipes: S,H,D,C. Valores: 2-9,T,J,Q,K,A.
Paradoxo do Aniversário
P(pelo menos 2 pessoas com mesmo aniversário em grupo de n) — modelo 365 dias.
Teorema de Bayes
P(A|B) = P(B|A)·P(A) / [P(B|A)·P(A) + P(B|¬A)·P(¬A)].
Markov 2-Estados Estacionário
Distribuição estacionária π de cadeia 2-estados (matriz P=[[1-a,a],[b,1-b]]).
Valor Esperado Discreto
E[X] = Σ pᵢ·xᵢ. Recebe listas de valores e probabilidades correspondentes.
Binomial P(X=k)
P(X=k) = C(n,k)·pᵏ·(1−p)ⁿ⁻ᵏ para X ~ Binomial(n,p).
Poisson P(X=k)
P(X=k) = (λᵏ·e⁻λ) / k! para X ~ Poisson(λ).
Geométrica P(X=k)
P(X=k) = (1−p)ᵏ⁻¹·p — número de tentativas até o primeiro sucesso.
Hipergeométrica P(X=k)
P(X=k) = C(K,k)·C(N−K,n−k) / C(N,n) — amostragem sem reposição.
Probabilidade Condicional
P(A|B) = P(A∩B) / P(B).
Monty Hall Trocar vs Ficar
Compara probabilidades de ganhar trocando ou ficando em jogo de N portas (Monty abre 1).
Parcela Price (PMT)
Calcula parcela fixa Tabela Price: PMT = PV·i / (1−(1+i)⁻ⁿ).
Tabela SAC (N primeiras parcelas)
Mostra as primeiras N parcelas do sistema SAC (amortização constante).
Economia Quitação Antecipada
Estima juros economizados ao quitar antecipadamente (Price): saldo devedor vs total restante.
Breakeven de Refinanciamento
Quantos meses para recuperar os custos de refinanciar via redução de parcela.
LTV (Loan-to-Value)
Calcula LTV = empréstimo / valor do imóvel. Comum: ≤80% para crédito imobiliário.
DTI (Debt-to-Income)
Calcula comprometimento de renda: parcelas / renda bruta. Limite usual ≤30%.
IPTU Anual Estimado
Estima IPTU anual = valor venal × alíquota (%) (padrão 1%).
Cap Rate (Imóvel)
Calcula taxa de capitalização = NOI anual / preço do imóvel.
Rental Yield Bruto e Líquido
Yield bruto = aluguel·12 / preço. Yield líquido desconta custos anuais.
Yield Ajustado por Vacância
Calcula yield líquido considerando taxa de vacância e custos operacionais.
ROI Imóvel para Aluguel
ROI = (renda anual líquida) / (capital investido) — considera entrada + custos.
Regra dos 1% (Aluguel)
Checa se o aluguel mensal ≥ 1% do preço — heurística rápida nos EUA para boas oportunidades.
Regra dos 50% (Despesas)
Estima que 50% do aluguel vira despesas operacionais (manutenção, vacância, gestão, etc.).
Saldo Devedor no Mês M (Price)
Calcula saldo devedor no mês m de um financiamento Price: PV·(1+i)ᵐ − PMT·((1+i)ᵐ−1)/i.
Total de Juros Pago
Calcula total de juros pagos = (PMT·n) − PV em financiamento Price.
Diâmetro Pneu (LT/P)
Calcula diâmetro externo (mm) a partir de medida tipo 205/55 R16: largura×perfil%×2 + aro×25.4.
Relação Marcha RPM ↔ Velocidade
Calcula velocidade em km/h a partir de RPM, relação final e raio do pneu (m).
Autonomia EV por kWh
Estima autonomia (km) de carro elétrico: capacidade (kWh) ÷ consumo (kWh/100 km) × 100.
Tempo de Carga EV
Calcula tempo aproximado de carregamento: kWh restantes ÷ potência (kW) × 1.1 (eficiência 90%).
0-100 km/h por Potência
Estima tempo 0-100 km/h: ≈ (peso/HP)^0.75 × 0.85 (heurística).
Velocidade Máxima por HP
Estima velocidade máxima (km/h) a partir da potência: 100·(HP/Cd·A)^(1/3) (Cd·A típico=0.7).
Distância de Frenagem
Calcula distância de frenagem (m): v² / (2·μ·g), com μ atrito típico 0.7 e g 9.81.
Velocidade de Hidroplanagem
Estima velocidade crítica de hidroplanagem (km/h): 10.35 × √(PSI do pneu).
Custo Combustível Viagem
Calcula custo total da viagem: km ÷ consumo (km/L) × preço/L.
Próxima Troca de Óleo
Calcula km da próxima troca: km atual + intervalo por tipo (mineral 5k, semissintético 7.5k, sintético 10k).
Depreciação Anual do Carro
Calcula valor residual após N anos com depreciação % ao ano: valor × (1−d)^anos.
Desgaste de Pneu por km
Estima vida útil restante (km) do pneu pela profundidade de sulco (mm) e desgaste por 10k km.
Octanagem Recomendada
Indica octanagem mínima conforme taxa de compressão do motor (TC).
RPM Redline por Cilindrada
Estima RPM redline heurístico: motores menores giram mais. Aprox 11000 − (cc/2.5).
Circunferência do Pneu
Calcula circunferência (mm) a partir de medida 205/55 R16: π × diâmetro externo.
Relação Peso/Potência
Calcula relação peso/potência (kg/HP): peso ÷ HP. Quanto menor, mais ágil.
Autonomia por Tanque
Calcula autonomia (km) por tanque cheio: capacidade (L) × consumo (km/L).
Sobreposição de Fusos
Calcula janela em comum (h) entre dois fusos com horário comercial 9-18.
Distância de Voo (Haversine)
Calcula distância em linha reta (km) entre dois pontos lat/lon usando fórmula haversine.
Dividir Custo da Viagem
Divide custo total entre N viajantes igualmente.
Dias para Recuperar Jet Lag
Estima dias de recuperação: 1 dia por fuso atravessado (rule of thumb).
Quantidade Roupa por Viagem
Calcula camisetas, calças e cuecas: dias×fator (camiseta 1, calça 0.5, cueca 1.1).
Orçamento Diário por País
Calcula orçamento diário (USD) por categoria (mochileiro/médio/luxo) e país-tier.
Fadiga ao Volante
Avalia fadiga ao volante baseada em horas dirigidas: ≤2h ok, 2-4h pausa, >4h descanso obrigatório.
CO₂ Emissão Viagem
Estima emissão CO₂ (kg) por km e modal: carro 0.19, avião 0.25, ônibus 0.07, trem 0.04 kg/km/pax.
Horas de Luz por Latitude
Calcula horas de luz no dia conforme latitude e dia do ano (fórmula CBM).
Nascer e Pôr do Sol (estimativa)
Estima horário aproximado de nascer e pôr do sol a partir da latitude e dia do ano (UTC).
Tempo Check-in Aeroporto
Recomenda horário de chegada antes do voo: doméstico 1.5h, internacional 3h, com bagagem +30min.
Tempo Voo por Velocidade
Calcula tempo estimado de voo: distância (km) ÷ velocidade cruzeiro (km/h) + 30 min taxiamento.
Tempo Aclimatação Altitude
Estima dias mínimos de aclimatação para altitudes acima de 2500 m (1 dia por 300 m acima de 2500).
Profundidade de Campo (DOF)
Calcula profundidade de campo total (m) a partir de distância focal (mm), abertura f, distância (m) e CoC (mm).
Distância Hiperfocal
Calcula distância hiperfocal (m): H = f²/(N·CoC).
Regra Sunny-16
Calcula obturador recomendado para f/16 em sol forte: t = 1/ISO. Ajusta para outra abertura.
Exposure Value (EV)
Calcula EV a partir de abertura, obturador e ISO: EV = log2(N²/t) − log2(ISO/100).
Exposição Equivalente
Calcula novo obturador ao dobrar/halvar ISO mantendo exposição: t_novo = t × (ISO/ISO_novo).
Círculo de Confusão por Sensor
Retorna CoC (mm) para sensores comuns: FF=0.030, APS-C=0.020, MFT=0.015, 1"=0.011.
Campo de Visão (FOV)
Calcula FOV horizontal (graus) por focal (mm) e largura sensor (mm).
Filtro ND - Redução em Stops
Calcula stops de redução do filtro ND: log2(densidade). ND8 = 3 stops, ND1000 ≈ 10.
Flash GN → Abertura
Calcula abertura f/ a partir do guide number (m, ISO 100) e distância: N = GN / d.
Intervalo Time-Lapse
Calcula intervalo (s) entre fotos: duração final (s) × FPS / quantidade de fotos.
Bitrate Vídeo - Estimador
Estima tamanho de arquivo (MB): bitrate (Mbps) × duração (s) / 8.
Amostra Tricô (Gauge)
Calcula nº de pontos para um tamanho alvo: (pontos/cm em amostra) × largura desejada (cm).
Estimativa de Fios para Projeto
Estima metros de fio: área (cm²) × consumo médio (m/cm²). Cachecol=0.4, suéter=0.5.
Graduação de Molde (Costura)
Calcula nova medida ao subir/descer N tamanhos: medida × (1 + 0.04 × delta).
Metragem de Tecido para Projeto
Calcula metros lineares de tecido conforme largura padrão (140 cm) e área do molde.
Pontos Bordado por Área
Estima pontos de bordado: área (cm²) × densidade (pontos/cm² — fina=120, média=80, grossa=40).
Contador de Carreiras Tricô
Calcula carreiras necessárias: comprimento (cm) × carreiras/cm da amostra.
Quantidade de Corante por Tecido (gsm)
Calcula gramas de corante: peso tecido (g) × % desejado (típico 2-4%).
Bracelet Beads
Calculate number of beads for a bracelet: length (cm) / bead diameter (mm) × 10.
Armadura de Clave por Tonalidade
Retorna nº de sustenidos/bemóis da armadura de uma tonalidade maior.
Transposição por Intervalo
Transpõe uma nota por N semitons (positivo = subir, negativo = descer).
Dominante Secundária
Identifica V/x de cada grau diatônico (ex: V/ii em Dó = A7). Mostra V/ii, V/iii, V/IV, V/V, V/vi.
Menor Relativa / Paralela
Retorna a tonalidade menor relativa (mesma armadura) e paralela (mesma tônica) de uma tonalidade maior.
CTR (Click-Through Rate)
Calcula CTR: cliques / impressões × 100. Benchmarks: Search 3-5%, Display 0.5%, Social 1-2%.
Taxa de Conversão Simples
Calcula conversões/visitantes × 100. Benchmark e-commerce: 1-3% (loja média), 5%+ excelente.
CPC (Custo por Clique)
Calcula custo médio por clique: investimento / cliques.
CAC (Customer Acquisition Cost)
Calcula custo de aquisição: investimento total em marketing+vendas / novos clientes.
LTV (Lifetime Value)
Calcula valor vitalício: ticket médio × frequência × tempo de retenção (meses).
LTV:CAC Ratio
Calcula razão LTV/CAC. Ideal ≥3. Abaixo de 1 = prejuízo; acima de 5 = subinvestimento.
ROAS (Return on Ad Spend)
Calcula ROAS: receita gerada / investimento em anúncios. ≥4:1 é considerado bom.
ACoS Amazon Ads
Calcula ACoS: gasto em ads / receita gerada × 100. Inverso do ROAS — quanto menor, melhor.
Payback Period (meses)
Calcula tempo para recuperar CAC: CAC / (ticket mensal × margem%).
Churn Rate Mensal
Calcula taxa de cancelamento: clientes perdidos / total no início × 100.
NPS (Net Promoter Score)
Calcula NPS: %promotores (9-10) − %detratores (0-6). >50 excelente, >0 bom, <0 ruim.
Significância A/B Test (Qui-quadrado)
Calcula qui-quadrado para 2x2: variante A (visitas, conversões) vs B. χ²>3.84 = significante p<0.05.
Taxa de Abertura de Email
Calcula open rate: aberturas únicas / enviados (descontando bounces) × 100. Benchmark: 20-30%.
Bounce Rate (Email)
Calcula taxa de devolução: bounces / enviados × 100. Hard >2% prejudica reputação do remetente.
Funil de Conversão (5 etapas)
Calcula taxa de queda entre 5 etapas de um funil de vendas/marketing.
AOV (Average Order Value)
Calcula ticket médio: receita / nº pedidos. Métrica chave para e-commerce.
Repeat Purchase Rate
Calcula taxa de recompra: clientes com 2+ pedidos / total clientes × 100. Saudável >20%.
RFM Segmentação Simples
Calcula score RFM (1-5 cada) e segmenta cliente: Champions, Loyal, At Risk, Lost.
TDEE (TMB × Fator Atividade)
Calcula gasto energético total diário: TMB × fator de atividade (sedentário 1.2 → atleta 1.9).
Split de Macros (% kcal)
Calcula gramas de proteína/carb/gordura a partir de % e calorias (P=4, C=4, G=9 kcal/g).
Calorias por Passos Diários
Estima calorias gastas: passos × 0.04 × (peso/68). Padrão de referência 68kg.
BMR vs RMR — Diferença
Calcula diferença entre RMR (taxa metabólica de repouso) e BMR (basal). RMR ≈ BMR × 1.1.
WHR (Cintura/Quadril)
Calcula razão cintura-quadril e classifica risco cardiovascular. H >0.90, M >0.85 = risco.
WHtR (Cintura/Altura)
Calcula cintura/altura. Regra "mantenha cintura < ½ altura". >0.5 = risco cardiometabólico.
Apgar Score + Interpretação
Calcula Apgar (0-10) somando 5 critérios (0-2 cada): cor, FC, irritabilidade, tônus, respiração.
Escala de Coma de Glasgow
Calcula GCS somando olhos (1-4) + verbal (1-5) + motor (1-6). 13-15 leve, 9-12 moderado, ≤8 grave.
MELD Score (fígado)
Calcula MELD: 3.78·ln(bilirrubina) + 11.2·ln(INR) + 9.57·ln(creatinina) + 6.43. Avalia gravidade da doença hepática.
CHA2DS2-VASc (FA risco AVC)
Calcula risco anual de AVC em fibrilação atrial. Soma: ICC, HAS, idade≥75 (2), DM, AVC/AIT (2), DVasc, idade 65-74, sexo F.
HAS-BLED (risco sangramento)
Calcula risco de sangramento em anticoagulação. Soma 1 ponto: HAS, função renal/hepática, AVC, sangramento prévio, INR lábil, idoso>65, drogas/álcool.
ASCVD Risco Cardiovascular (simplificado)
Estima risco de evento cardiovascular em 10 anos com versão simplificada (idade, sexo, fumo, DM, HAS, CT).
Wells Score (TVP)
Estima probabilidade de TVP. Pontos: câncer, paralisia, imobilização, dor venosa, edema, diâmetro, edema com cacifo, veias colaterais, dx alternativo (-2).
qSOFA (Sepse)
Calcula qSOFA: FR≥22, alteração do estado mental, PAS≤100. ≥2 = alta mortalidade — investigar sepse.
Calorias por Grama de Macro
Calcula kcal de quantidades de P/C/G (4/4/9 kcal por grama).
Net Carbs (Keto)
Calcula carbos líquidos para dieta cetogênica: carb total − fibras (− metade dos álcoois de açúcar se houver).
Água por Nível de Atividade
Calcula necessidade hídrica: 35 ml/kg + 500 ml por hora de exercício.
Carga Glicêmica (CG)
Calcula CG: (IG × carbo disponível em g) / 100. <10 baixa, 11-19 média, ≥20 alta.
Fibra Diária Recomendada
Calcula fibra ideal: 14 g por 1000 kcal (recomendação IOM/EUA).
Sódio Diário (limite OMS)
Calcula limite recomendado (≤2 g/dia OMS) e ideal (≤1.5 g AHA) e converte para sal de cozinha (×2.5).
Açúcar Diário (limite OMS 5%/10%)
Calcula limite de açúcar livre: 10% das kcal (OMS forte) ou 5% (recomendação adicional).
Gordura Saturada — Limite %
Calcula limite recomendado: ≤10% das kcal (OMS) ou ≤7% (AHA para risco cardiovascular).
Razão Ômega-6 / Ômega-3
Calcula razão ω-6/ω-3 ideal (≤4:1). Razões altas (>10:1) associam-se a inflamação.
Calorias de Bebida Alcoólica
Calcula kcal: ml × %ABV × 0.789 × 7 / 100. Álcool puro = 7 kcal/g, densidade 0.789 g/ml.
Cafeína Restante (meia-vida 5h)
Calcula cafeína remanescente após N horas: dose × 0.5^(horas/5).
Perda Hídrica por Suor
Calcula perda total e reposição: ml/h × horas. Recomendação: repor 150% do peso perdido em 4 h.
Razão Colesterol Total / HDL
Calcula razão CT/HDL. <3.5 ideal, 3.5-5 médio, >5 risco cardiovascular elevado.
Calculadora Pontos Catan
Soma pontos de vitória em Catan (vilas, cidades, maior estrada, maior exército, cartas).
Calculadora Pontos Carcassonne
Soma pontos finais de Carcassonne (cidades, estradas, claustros, fazendas).
Calculadora Pontos Ticket to Ride
Soma pontos por rotas+bilhetes+rota mais longa em Ticket to Ride (versão simplificada).
Odds Roleta Europeia vs Americana
Calcula house edge e odds de apostas comuns (red/black, dúzia, número direto).
Wilks Score Powerlifting
Calcula coeficiente de Wilks para comparar levantamentos de powerlifting (1996).
Sinclair Score Halterofilismo
Calcula Sinclair coefficient (2021-2024) para comparação de levantamentos olímpicos.
IPF GL Points
Calcula IPF GL Points (fórmula oficial pós-2020) para comparar levantamentos.
xG (Expected Goals) Simplificado
Estima Expected Goals (xG) de um chute por distância e ângulo (modelo simples).
Previsão Tempo Maratona (Riegel)
Prevê tempo em distância alvo a partir de tempo em outra (T2 = T1 × (D2/D1)^1.06).
VDOT Pace Jack Daniels
Estima VDOT a partir de tempo em distância (Daniels Running Formula).
Negative Split Corrida
Calcula pace para negative split (2ª metade X% mais rápida que a 1ª).
Pace Natação por 100m
Calcula tempo médio por 100m a partir de distância total e tempo.
CSS Natação (Critical Swim Speed)
Calcula Critical Swim Speed (CSS) por teste 400m+200m: (D400−D200)/(T400−T200).
FTP Ciclismo (Teste 20min)
Estima FTP (Functional Threshold Power) como 95% da potência média em teste de 20 min.
Power-to-Weight Ratio
Calcula W/kg e classificação Coggan (untrained → world class).
NBA Efficiency Rating
Calcula EFF simplificado da NBA: (PTS+REB+AST+STL+BLK)−(FGA−FGM)−(FTA−FTM)−TO.
FIDE Rating Delta
Calcula variação de rating Elo (FIDE) após partida — K=20 padrão.
Distância Haversine (lat/lon)
Calcula distância great-circle entre duas coordenadas usando fórmula de Haversine.
Ponto Médio entre Coordenadas
Calcula ponto médio geodésico entre duas coordenadas lat/lon.
Distância do Equador (km)
Calcula distância em km do paralelo do equador a partir da latitude (≈111 km/°).
Distância do Meridiano de Greenwich
Calcula distância em km do meridiano de Greenwich na latitude informada.
Circunferência da Terra na Latitude
Calcula circunferência paralela à latitude informada (2πR·cos(lat)).
pH a partir de [H+]
Calcula pH a partir da concentração molar de H+: pH = -log10([H+]).
pOH a partir de [OH-]
Calcula pOH a partir da concentração de OH-: pOH = -log10([OH-]).
Henderson-Hasselbalch (pH tampão)
pH de tampão: pH = pKa + log10([A-]/[HA]).
Diluição C1·V1 = C2·V2
Calcula volume final V2 dado C1, V1 e C2 (lei da diluição).
Molaridade a partir de massa e MM
Calcula molaridade: M = (massa/MM) / V(L).
Porcentagem em massa (m/m)
% m/m = (massa soluto / massa solução) × 100.
Fração molar
Fração molar do soluto: x_s = n_s / (n_s + n_solv).
Normalidade
Normalidade N = M × n_equiv (fator de equivalência).
Gás ideal PV=nRT (pressão)
Resolve P em PV=nRT (R=0.08206 L·atm/(mol·K)).
Densidade do gás → Massa Molar
M = (ρ·R·T)/P; ρ em g/L, R=0.08206, P em atm.
Atomos em n mols (Avogadro)
Átomos = n × 6.02214076e23.
Lei de Boyle (P1V1=P2V2)
Calcula V2 dado P1, V1 e P2 (T constante).
Lei de Charles (V1/T1=V2/T2)
Calcula V2 dado V1, T1 e T2 (P constante).
Lei de Gay-Lussac (P1/T1=P2/T2)
Calcula P2 dado P1, T1 e T2 (V constante).
Lei Combinada dos Gases
P1V1/T1 = P2V2/T2; resolve V2.
Rendimento percentual
% rendimento = (real / teórico) × 100.
Rendimento teórico
Teórico = mols reagente limitante × razão estequiométrica × MM produto.
Reagente limitante (2 reagentes)
Compara mols/razão entre 2 reagentes e identifica o limitante.
Crioscopia ΔT = Kf·m
Calcula depressão do ponto de congelamento: ΔT = Kf · molalidade · i_van_t_hoff.
Michaelis-Menten v
Velocidade enzimática: v = Vmax·[S]/(Km+[S]).
Inibição enzimática (%)
% inibição = (1 − vi/v0) × 100.
Diluição serial (fator final)
Fator final = (1/razão)^n_diluições.
Densidade celular (hemocitômetro)
Células/mL = (média·diluição·10^4) / nº quadrantes.
Tempo de duplicação bacteriano
Td = t·ln(2)/ln(N/N0).
Taxa de crescimento µ
µ = ln(N/N0) / t.
Punnett 2 alelos heterozigotos
Cruzamento Aa × Aa → AA 25%, Aa 50%, aa 25%.
Hardy-Weinberg p²+2pq+q²
Dado p (freq alelo dom), calcula p², 2pq, q².
Conteúdo GC (%) DNA
% GC = (G+C)/(A+T+G+C) × 100.
Tm oligo (Wallace 4+2)
Tm = 4·(G+C) + 2·(A+T) — fórmula Wallace, oligos curtos <14 nt.
MW proteína (sequência AA)
Soma massas dos aminoácidos − água por ligação peptídica (média 110 Da/AA simples).
Divisor de tensão Vout
Vout = Vin · R2 / (R1 + R2).
Constante de tempo RC
τ = R · C (segundos).
Constante de tempo RL
τ = L / R (segundos).
Frequência ressonante LC
f = 1 / (2π·√(L·C)).
Resistores em paralelo (Rp)
Rp = (R1·R2)/(R1+R2).
Resistores em série (Rs)
Rs = R1 + R2.
Capacitores em paralelo (Cp)
Cp = C1 + C2.
Capacitores em série (Cs)
Cs = (C1·C2)/(C1+C2).
Ganho op-amp inversor
Av = -Rf/Rin.
Ganho op-amp não-inversor
Av = 1 + Rf/Rin.
Resistor limitador LED
R = (Vsupply − Vf) / I.
Lei de Ohm completa V/I/R/P
Calcula a 3ª grandeza dado quaisquer 2 (V, I, R, P).
Energia armazenada capacitor
E = ½·C·V² (joules).
Energia armazenada indutor
E = ½·L·I² (joules).
Transformador razão de espiras
V1/V2 = N1/N2; calcula V2 dado V1, N1 e N2.
Filamento: comprimento → peso
Peso = L · π · r² · densidade; PLA=1.24, ABS=1.04, PETG=1.27, TPU=1.21 g/cm³.
Filamento: peso → comprimento
L = peso / (π·r²·densidade).
Altura camada × velocidade ótima
Heurística: vel_max = fluxo_max / (largura · altura).
Infill % → peso aproximado
Peso = volume_modelo · (infill/100 · 0.85 + casca) · densidade.
Tempo impressão estimado
Tempo (h) = volume / fluxo_efetivo (mm³/s) / 3600.
RT60 Sabine
RT60 = 0.161 · V / A. V volume m³, A absorção total m².
Modo axial de sala
f_n = n · c / (2L), c=343 m/s.
Nyquist: freq máx de amostragem
fmax = fs/2.
Bit depth → dynamic range
DR (dB) = 6.02·N + 1.76.
Latência por buffer
Latência (ms) = (samples / sample_rate) · 1000.
Tinta Galões por Área
Calcula galões de tinta necessários a partir da área e cobertura por galão.
Rolos de Papel de Parede
Calcula rolos necessários a partir do perímetro, altura e cobertura por rolo (rolo padrão = 5,3 m²).
Quantidade de Azulejos (retangular)
Calcula quantidade de azulejos para área retangular com acréscimo por perdas.
Quantidade de Azulejos (diagonal)
Calcula azulejos para assentamento na diagonal: adiciona 15% extra de perda.
Madeira em Pés Lineares
Converte comprimento em metros para pés lineares (linear feet): m × 3.2808.
Madeira em Pés-Tábua
Calcula pés-tábua (board feet): (esp_in × larg_in × comp_in) / 144.
Volume de Concreto (m³)
Calcula volume de concreto: largura × comprimento × espessura.
Tijolos para Parede
Calcula tijolos necessários para parede dada área e tijolos por m² (acréscimo por perda).
Sacos de Argamassa por Área
Calcula sacos de argamassa: área × consumo/m² ÷ peso do saco.
Chapas de Drywall
Calcula chapas de drywall (padrão 1,20×1,80 m = 2,16 m²) por área com perda.
Rodapé em Metros Lineares
Calcula metros lineares de rodapé (perímetro − vãos de portas).
Moldura de Teto (metros)
Calcula metros lineares de moldura/sanca de teto a partir do perímetro com perda.
Rejunte (kg) por Área
Estima quilos de rejunte por área: (L+C)/(L×C) × esp × prof × dens × área.
Ventilador de Teto por Área
Sugere diâmetro do ventilador de teto pela área do cômodo.
Ar-Condicionado BTU por m²
Calcula BTUs necessários: 600 BTU/m² + 600 por pessoa extra + 600 por aparelho.
Aquecedor kW por m²
Estima potência de aquecedor: 0,1 kW/m² (clima ameno) a 0,15 kW/m² (clima frio).
Isolamento R-Value por Zona
Sugere R-Value mínimo para forro/teto por zona climática (IECC).
Iluminação Lumens por m²
Calcula lumens totais necessários por ambiente (sala 200, cozinha 300, banheiro 500, escritório 500).
Porta Tamanho Padrão BR
Sugere medidas padrão de porta brasileira (NBR 15930) por tipo.
pH Solo: Calcário/Enxofre
Calcula calcário (subir pH) ou enxofre (descer pH) por m² para corrigir o pH do solo.
NPK Proporção de Fertilizante
Calcula gramas de N, P, K em determinada quantidade de adubo NPK.
Rega Semanal por Tipo de Planta
Sugere litros de água por semana segundo tipo de planta e clima.
Compostagem C:N Ratio
Calcula proporção C:N de uma mistura de compostagem (ideal 25-30:1).
Horta em Pé Quadrado: Capacidade
Calcula plantas por bloco 30×30 cm conforme tipo de hortaliça (1, 4, 9 ou 16 por bloco).
Profundidade de Plantio (semente)
Sugere profundidade ideal: 2 a 3× o diâmetro da semente.
Espaçamento Entre Mudas
Sugere espaçamento entre linhas e plantas para hortaliças comuns.
Mulch (Cobertura) em Pés Cúbicos
Calcula pés cúbicos de mulch: área(ft²) × profundidade(pol) / 12.
Growing Degree Days (GDD)
Calcula GDD diário: ((Tmax+Tmin)/2) − Tbase, mínimo 0.
Data de Geada por Zona BR
Estima período de risco de geada por região do Brasil.
Dias até Colheita por Cultura
Mostra dias estimados do plantio até a colheita para hortaliças comuns.
Hidroponia: Ciclo de Bomba
Sugere ciclo de bomba (NFT/DWC): minutos ligada e desligada por ciclo.
EC Nutrientes na Água
Sugere faixa de EC (mS/cm) ideal por estágio: muda 0.8, vegetativo 1.5, frutificação 2.2.
Areia de Gato: Troca Diária
Estima gramas de areia retirada por dia (1 gato = ~150 g; 2 gatos = ~270 g).
Aquário Estoque: 1 pol/galão
Calcula peixes que cabem usando regra 1 polegada por galão (3,785 L).
Aquário: Tempo de Ciclagem
Estima tempo de ciclagem (nitrificação): com bactérias 7-14 dias; sem 4-8 semanas.
Terrário: Umidade por Espécie
Sugere faixa de umidade relativa por espécie de réptil/anfíbio.
Gaiola Mínima para Pássaro
Sugere dimensão mínima de gaiola por tipo de ave.
Passeio do Cão (min) por Raça
Sugere minutos diários de passeio por porte e energia da raça.
Roda de Hamster: Diâmetro Mínimo
Sugere diâmetro mínimo da roda por espécie para evitar lordose.
Média Ponderada de Disciplinas
Calcula média ponderada (notas e pesos separados por vírgula).
Boletim: Média com Peso
Calcula média do boletim com pesos por bimestre (B1, B2, B3, B4).
IRA: Índice Rendimento Acadêmico
Calcula IRA (Σ nota×CH) / Σ CH para disciplinas (entradas separadas por vírgula).
ENEM: Nota Média Necessária
Calcula nota média que falta para atingir a meta a partir de 4 áreas + redação.
CEFR: Nível por Horas de Estudo
Estima nível CEFR atingível por horas totais de estudo (A1≈70h, A2≈180, B1≈350, B2≈550, C1≈800, C2≈1200).
Hora de Dormir por Ciclos 90 min
Calcula horários ideais para deitar (5 e 6 ciclos de 90 min antes de acordar).
Hora de Acordar a partir do Deitar
A partir do horário em que você se deita, calcula horários ideais para acordar (4, 5, 6 ciclos).
REM: Contagem Regressiva
Sugere horário do 1º REM (~90 min após adormecer) e contagem REM total na noite.
Melatonina: Horário de Tomada
Sugere tomar melatonina 2h antes do horário desejado de dormir.
Dívida de Sono Semanal
Calcula dívida de sono = (7 × ideal) − soma de horas dormidas (vírgula).
Eficiência do Sono (TST/TIB)
Calcula eficiência do sono: Total Sleep Time ÷ Time In Bed × 100.
Estimador de Gas Fee
Calcula custo de transação ETH: gas usado × gwei = ETH gasto. Mostra também o equivalente em USD.
Tamanho Transação Bitcoin
Estima tamanho em bytes de transação Bitcoin: ~10 + (148·inputs) + (34·outputs).
Lucro Mineração por kWh
Calcula lucratividade diária: (hashrate · preço por TH) − (consumo · custo kWh · 24).
Contagem Regressiva Halving Bitcoin
Calcula dias até o próximo halving do Bitcoin (estimado abril 2028).
Block Reward Bitcoin por Ano
Mostra o block reward (BTC por bloco) com base no número de halvings ocorridos até o ano informado.
Custo Transfer ERC-20
Estima custo de transfer ERC-20 padrão (~65k gas) em ETH e USD.
Calculadora IPv6 Subnet
Calcula quantidade de hosts e sub-redes para um prefixo IPv6 (/n).
TCP Bandwidth-Delay Product
Calcula o produto largura×atraso (BDP) — tamanho ideal do window TCP para utilizar 100% do link.
Calculadora MTU por Encapsulamento
Calcula MTU efetiva removendo overhead de Ethernet, PPPoE, IPSec, GRE.
MSS a partir de MTU
Calcula MSS (Maximum Segment Size) = MTU − 20 (IP) − 20 (TCP) = MTU − 40.
TCP Window Scaling Factor
Calcula fator de window scaling necessário para suportar uma janela TCP grande (>64KB).
IPv4 Subnet Host Count
Calcula número de hosts utilizáveis em uma subnet IPv4: 2^(32-prefix) − 2.
CIDR → Rede + Broadcast
Calcula endereço de rede e broadcast a partir de IP/CIDR.
Data de Retenção de Dados
Calcula data limite de retenção: data inicial + anos de retenção pelo propósito.
Distância Sol-Terra (AU)
Calcula distância Sol-Terra em UA pela data (aproximação por excentricidade orbital).
Velocidade Orbital da Terra
Velocidade orbital da Terra em km/s pela data (varia conforme posição na órbita elíptica).
Kepler — Período Orbital
Aplica 3ª lei de Kepler: T² = a³ (T em anos, a em UA).
Módulo Distância → Magnitude
Calcula magnitude aparente: m − M = 5·log₁₀(d/10pc).
Redshift z → Velocidade Recessão
Converte redshift z em velocidade de recessão (aproximação não-relativística v = c·z para z<<1).
Doppler — Frequência Observada
Calcula frequência observada por efeito Doppler óptico: f_obs = f_fonte · √((c−v)/(c+v)) (aproximação relativística).
Raio de Schwarzschild
Calcula raio de Schwarzschild de um buraco negro: r_s = 2GM/c².
Hidratação da Massa (Baker %)
Calcula a hidratação da massa pela porcentagem do padeiro: água/farinha×100.
Alimentação do Fermento Natural
Calcula quantidade de farinha e água para alimentar fermento natural na razão escolhida.
Salmoura por % de Sal
Calcula quantidade de sal em salmoura (% do peso da água) e tempo recomendado por kg.
Porção de Macarrão por Pessoa
Calcula massa seca a cozinhar (100 g/pessoa padrão, 80-120 g ajustável).
Redução de Molho
Calcula o fator e porcentagem de redução: volume inicial → alvo.
Sal por % do Peso da Carne
Calcula sal para tempero seco em 1.5-2% do peso da carne (cura tradicional).
Escalar Receita por Fator
Multiplica uma quantidade de ingrediente por porções alvo / porções originais.
Cafeína por Bebida
Mostra mg de cafeína estimados por tipo e número de doses/xícaras.
Tempo de Preaquecimento de Forno
Estima minutos para preaquecer forno doméstico (≈10 min para 200 °C, escala linear).
Comprimento de Onda de De Broglie
Calcula λ = h/p (h = 6.626e-34 J·s).
Incerteza de Heisenberg
Calcula Δp_mín = ℏ / (2·Δx) ou Δx_mín = ℏ / (2·Δp).
Energia do Fóton (E=hf)
Calcula energia de um fóton dado frequência (E = h·f).
Momento do Fóton (p=E/c)
Calcula o momento do fóton p = E/c.
Deslocamento Compton (Δλ)
Calcula Δλ = (h/m_e·c)·(1 − cosθ) para espalhamento Compton.
Partícula na Caixa — Energia
Calcula energia E_n = n²·h² / (8·m·L²) para uma partícula em poço infinito.
Schrödinger — Níveis em Caixa
Lista os primeiros 5 níveis de energia da partícula em caixa 1D em unidades de E₁.
Raio de Bohr (n²·a₀)
Calcula raio da órbita de Bohr: r = n²·a₀ (a₀ ≈ 5.29×10⁻¹¹ m).
Fórmula de Rydberg
Calcula λ pelo Rydberg: 1/λ = R·(1/n₁² − 1/n₂²) com R = 1.097×10⁷ m⁻¹.
Stefan-Boltzmann (L=σT⁴A)
Calcula potência irradiada por corpo negro: L = σ·T⁴·A.
Lei de Wien — λ_máx
Calcula λ_máx = b/T com b = 2.898×10⁻³ m·K.
Corpo Negro — Frequência de Pico
Calcula a frequência de pico (Wien): f_máx ≈ 5.879×10¹⁰·T (em Hz).
VAT UK 20%
Calcula VAT do Reino Unido (20%) sobre o valor líquido ou bruto.
MwSt Alemanha 19%
Calcula imposto sobre valor agregado da Alemanha (Mehrwertsteuer 19%).
TVA França 20%
Calcula TVA da França (20%) — taxa padrão de bens e serviços.
IVA Espanha 21%
Calcula IVA geral da Espanha (21%).
IVA Itália 22%
Calcula IVA padrão da Itália (22%).
GST Canadá 5% + Provincial
Calcula GST federal (5%) + opcionalmente PST/QST provincial.
HST Ontário 13%
Calcula HST harmonizada de Ontário (13%).
Sales Tax Califórnia 7.25%
Calcula sales tax estadual da Califórnia (7.25% mínimo, sem locais).
Sales Tax New York 4% + Local
Calcula sales tax estadual (4%) + local típico (NYC ≈ 4.5%, MCTD 0.375%).
GST Austrália 10%
Calcula GST padrão da Austrália (10%).
GST Singapura 9%
Calcula GST de Singapura (9% desde 2024).
GST Índia (slabs 5/12/18/28%)
Calcula GST da Índia por faixa: 5, 12, 18 ou 28%.
NPV (Net Present Value) Calculator
Compute project Net Present Value (NPV) from a cash flow series and discount rate. Decide if a project adds value (NPV > 0).
IRR (Internal Rate of Return) Calculator
Find IRR of a cash flow via Newton/bisection. Also displays NPV at the solution point.
MIRR (Modified IRR) Calculator
Compute Modified IRR (MIRR) using a finance rate for negative flows and reinvest rate for positive flows.
Simple Payback Calculator
Show in how many periods the initial investment is recovered by cumulative cash flow (undiscounted).
Discounted Payback
Payback considering time value of money: each flow is discounted before accumulating. More conservative than simple payback.
Rule of 72 (Investment Doubling)
Estimate years needed to double an investment at an annual rate using the classic Rule of 72. Compare with exact (ln 2 / ln(1+r)).
Capital Equivalence Calculator
Check whether two payment streams are equivalent at a given rate, by bringing all to a focal date (date zero).
Yearly ↔ Monthly Rate Equivalence
Convert compound interest rates between periods (annual, monthly, daily, semi-annual). i_year = (1+i_month)^12 - 1.
Leasing with Residual Calculator
Compute monthly leasing payment with residual value at term end, given rate, periods and optional down payment.
Bullet Loan Calculator
Bullet loan: pay only interest during the term and the principal at the last period. Compute total interest and schedule.
Personal Loan Interest
Compute installment and total interest of a personal loan via Price system, given principal, rate and term. Shows approximate CET.
Mortgage Payment Calculator
Compute monthly mortgage payment with down payment, rate, term (years) and insurance. Supports Price system.
Auto Loan Payment Calculator
Compute monthly auto loan payment: financed amount, rate and term. Shows total paid and interest.
Debt Refinance Savings
Compare two debt scenarios (current vs renegotiated) with different rates and terms; shows interest savings and monthly cash.
CDC Loan Calculator (Brazil)
Brazilian CDC consumer loan: monthly installment via Price with monthly nominal rate and short term (3-60 months).
Cubic ↔ Square Feet Converter
For an area in square feet (sqft), multiply by height to get cubic feet. Useful in ventilation and logistics.
Concrete Mix Calculator
Estimate cement, sand, gravel and water for a given concrete amount based on the mix ratio (e.g., 1:2:3) and target volume.
Backfill Belt Calculator
Volume of backfill for a foundation belt, given width, height and total perimeter length.
Raft Foundation Volume
Volume of concrete for a raft foundation: width × length × thickness, optional 5% overage.
Swimming Pool Volume
Compute rectangular or cylindrical swimming pool volume in liters and m³. Useful for chlorine and chemical dosing.
Water Tank Volume Calculator
Compute rectangular and cylindrical water tank volume in liters. Suggests minimum size for N people (200L/day/person).
Pipe Pressure Loss Calculator
Pipe head loss via Hazen-Williams: J = 10.67 × Q^1.85 / (C^1.85 × D^4.87). For water at 20°C.
Short-Circuit Current Calculator
Estimate symmetric single-phase short-circuit current at low-voltage points from transformer and cable impedance.
Breaker Sizing Calculator
Suggest a standard breaker (6, 10, 16, 20, 25, 32, 40, 50, 63 A) from circuit power and voltage (110/220V).
Electrical Cable Section (mm²)
Compute minimum recommended cable section (1.5, 2.5, 4, 6, 10, 16, 25 mm²) by current and installation type (NBR 5410 simplified).
Residential Lighting (W/m²)
Suggest total lighting wattage and number of LED bulbs per room based on 100 lux/m² standard for bedrooms/living rooms.
Pipe Flow Rate Calculator
Compute flow rate Q = A × v given internal diameter and fluid velocity. Output in L/s, m³/h and gpm.
Pump Power (HP)
Compute hydraulic and electric power (HP) of a pump given flow, head and efficiency.
Sprinkler Nozzle Flow
Compute sprinkler nozzle flow Q given pressure and discharge coefficient Cd. Q = Cd × A × √(2gh).
Pneumatic Cylinder Force
Compute extend and retract forces of a pneumatic cylinder: F = P × A. Uses annular area for retract.
Gear Ratio Calculator
Compute gear ratio Z_out/Z_in for a gear pair, output RPM and resulting torque.
Belt Center Distance Calculator
Compute center distance between two pulleys for a given belt length using Liter's approximation.
Bearing Life L10
Compute nominal bearing life L10 in million revs: L10 = (C/P)^p with p=3 (ball) or p=10/3 (roller).
Helical Spring Rate
Compute helical compression spring rate: k = G·d⁴/(8·D³·N), with G shear modulus.
Pipe Working Pressure
Maximum working pressure of a thin-wall cylindrical pipe via Barlow's formula: P = 2·t·S/D.
Beam Deflection (Center Load)
Compute max deflection δ = PL³/(48EI) of a simply-supported beam with center point load.
Rectangular Section Inertia
Compute Ix and Iy of a rectangular section: Ix = b·h³/12, Iy = h·b³/12. Also section modulus W.
Beam Deflection (Uniform Load)
Max deflection δ = 5wL⁴/(384EI) of simply-supported beam with uniformly distributed load. Useful for basic structural sizing.
Trapezoid Area & Diagonals
Compute area, perimeter, diagonals and midline of a trapezoid from bases and height. Supports isosceles trapezoid too.
Polygon Shoelace Area
Compute simple polygon area (non self-intersecting) using the Shoelace formula given vertices (x,y).
Ellipse Perimeter (Ramanujan)
Ramanujan's approximation for ellipse perimeter: P ≈ π[3(a+b) − √((3a+b)(a+3b))]. More precise than (2π·avg).
Circle Chord & Height
Compute chord c and sagitta (height) h of a circle arc given radius r and angle θ (or arc length s). c = 2r·sin(θ/2), h = r − r·cos(θ/2).
Circular Segment Area
Circular segment area (between chord and arc) given radius r and angle θ. A = r²·(θ − sin θ)/2.
Annulus Area
Annulus area between outer R and inner r radii: A = π(R² − r²). Useful for pipes and gears.
Ellipse Area & Perimeter
Compute area A = π·a·b and approximate perimeter (Ramanujan) of an ellipse from semi-axes a and b.
Torus Volume & Surface
Compute torus volume V = 2π²·R·r² and surface S = 4π²·R·r, where R is major radius and r minor.
Pyramid Frustum Volume
Pyramid frustum volume (larger base A1, smaller A2, height h): V = h·(A1 + A2 + √(A1·A2))/3.
Cone Frustum (Volume + Lateral)
Compute cone frustum volume V = πh(R² + r² + R·r)/3 and lateral area A_lat = π(R+r)·g (g = slant).
Prism Volume & Surface
Compute volume V = A_base·h and total surface = 2·A_base + perimeter·h for prisms with regular N-gon base.
Regular Tetrahedron Volume
Compute volume V = a³/(6√2) and total area A = √3·a² of a regular tetrahedron with edge a.
Depth of Field Calculator
Calculate depth of field from aperture, focal length and subject distance. Result in meters: near, far and total distance.
Beer ABV Calculator
Calculate alcohol content (ABV %) from original gravity (OG) and final gravity (FG) using the standard homebrewing formula.
BTU AC Calculator
Calculate BTU/h required to cool a room based on area (m²), people count and electronics. Baseline 600 BTU/m².
RT60 Reverberation Calculator
Calculate reverberation time RT60 using Sabine's formula: T = 0.161 · V / A. Useful for studio, room and auditorium acoustics.
Board Feet Calculator
Convert lumber dimensions to board feet (BF), traditional US unit: 1 BF = 144 cubic inches (12"×12"×1").
Irrigation Flow Calculator
Calculate irrigation flow in L/h and mm/h from irrigated area, dripper count and unit flow. Useful for agricultural hydraulic projects.
Planting Density Calculator
Calculate plants per hectare from row spacing and plant spacing. Essential for agricultural planning.
Hyperfocal Distance Calculator
Calculate hyperfocal distance: focus that keeps infinity + half the distance acceptably sharp. Key for landscape. H = f² / (N·c) + f.
Lens FOV Calculator
Calculate the angular field of view of a full-frame (35 mm) lens from its focal length. Returns horizontal, vertical and diagonal FOV in degrees.
Lux Illumination Calculator
Calculate illuminance (lux) from luminous flux (lumens) and area (m²). Includes reference values for offices, rooms and spaces.
Retirement: Contribution Time vs Points
Compares retirement rules by contribution time and by points (age + time) in the Brazilian pension reform.
Radioactive Half-Life Calculator
Computes remaining radioactive mass after N half-lives given initial mass.
Exponential Decay Calculator
Applies N = N0 * e^(-k*t) to compute remaining value in exponential decay.
Monthly Compound Interest Calculator
Compounds principal with monthly deposits at monthly rate over months.
Money Doubling Time (Rule of 72)
Applies the Rule of 72 to estimate how many periods until money doubles at a given rate.
Break-Even Point Calculator
Computes break-even units from fixed cost, unit price, and variable cost.
Bond Yield (Coupon)
Estimates approximate yield-to-maturity of a coupon bond from face, price, and term.
Gross Margin Calculator
Computes gross margin percentage from selling price and product cost.
Net Margin Calculator
Computes net margin percentage from net profit and total revenue.
Markup Pricing Calculator
Computes selling price from cost and desired markup percentage.
Pediatric BMI Calculator
Computes child BMI and classifies in a simplified WHO band by age.
Mexican Food Calories
Estimates calories of common Mexican dishes (taco, burrito, guacamole) from grams.
Star Luminosity Calculator
Estimates star luminosity from radius and temperature using Stefan-Boltzmann.
Parallax Distance Calculator
Computes parsec distance of an astronomical object from its parallax in arcseconds.
Resistor Power Dissipation
Computes power dissipated by a resistor from V*I or V^2/R.
RLC Series Impedance
Computes total impedance Z of a series RLC circuit from R, L, C, frequency.
Voltage Divider Calculator
Computes output voltage of a resistive divider Vout = Vin*R2/(R1+R2).
LED Resistor Calculator
Computes the ideal series resistor for an LED from supply voltage, LED drop, and desired current.
Batteries Series and Parallel
Computes total voltage and capacity when associating batteries in series or parallel.
Battery Charge Time Calculator
Estimates charge time of a battery from capacity in mAh and charge current in mA.
Solar Panel Efficiency
Computes solar panel efficiency from output power, irradiance, and area.
Vehicle Braking Time
Computes braking time and distance from speed and deceleration.
Circular Orbital Velocity
Computes circular orbital velocity at a given altitude above Earth using v = sqrt(GM/r).
Reading Time by Speed
Estimates text reading time from word count and reading speed in WPM.
Marathon Time Calculator
Estimates total marathon time from average pace in minutes per kilometer.
Bar Duration from BPM
Calculates the duration in seconds of a music bar (4/4, 3/4, 6/8) given the BPM.
Beat Duration in ms
Converts BPM into milliseconds per beat for DAW delays, sequencers and loops.
Musical Note Frequency
Computes the frequency in Hertz of any note from the semitone distance relative to A4=440 Hz.
Cents Between Frequencies
Calculates the interval in cents between two frequencies using 1200·log2(f2/f1).
Pitch Shift Semitones to Frequency
Computes the resulting frequency when shifting a pitch by N semitones via f·2^(n/12).
RT60 Decay (Sabine) for Music
Computes the RT60 decay time in seconds using Sabine V·0.161/A — handy for rehearsal rooms.
Speed of Sound by Temperature
Calculates the speed of sound in air (m/s) versus Celsius temperature using 331.3+0.606·T.
Echo Time by Distance
Computes the round-trip time of a sound echo in seconds given the distance and air temperature.
Mixer Pan L/R Balance
Computes the linear gain on each channel (L/R) when moving the pan fader on the mixer.
Kinetic Energy (J)
Calculates kinetic energy in joules given mass in kg and velocity in m/s via 0.5·m·v².
Gravitational Potential Energy
Calculates Ep=m·g·h in joules from mass, height and gravitational acceleration.
Spring Elastic Energy
Calculates the elastic energy stored in a spring E=0.5·k·x² in joules from constant and deformation.
Mechanical Power from Work
Calculates mechanical power P=W/t in watts from work in joules and time in seconds.
Moment of Inertia (Solid Cylinder)
Computes I=0.5·m·r² for a solid cylinder spinning about its central axis.
Moment of Inertia (Solid Sphere)
Computes I=0.4·m·r² for a solid sphere spinning about an axis through its center.
Angular Momentum L=I·ω
Calculates angular momentum L in kg·m²/s from moment of inertia I and angular velocity ω in rad/s.
Torque from Force and Distance
Calculates torque τ=F·d·sin(θ) in N·m from applied force, lever arm and angle.
Coefficient of Restitution
Calculates the coefficient of restitution e=(v2-v1)/(u1-u2) for two bodies before and after collision.
Free Fall Time
Calculates the time of free fall from height h via t=sqrt(2·h/g).
Projectile Max Height
Calculates the maximum height h=(v·sin θ)²/(2g) of a projectile launched with initial speed and angle.
Projectile Range (Flat Ground)
Calculates the horizontal range R=v²·sin(2θ)/g of a projectile on flat ground with no air drag.
Thin Lens Focal Length
Computes focal length f via 1/f=1/o+1/i from object and image distances in centimeters.
Snell Refraction Angle
Calculates refraction angle via n1·sin(θ1)=n2·sin(θ2) for light crossing two media.
Fluid Pressure by Depth
Calculates hydrostatic pressure P=ρ·g·h in pascals from fluid density and depth.
Creatinine Clearance (Cockcroft-Gault)
Calculates creatinine clearance with the Cockcroft-Gault formula in mL/min for drug dosing.
BMI for the Elderly (60+)
Calculates BMI with PAHO classification specific for the elderly — normal range 22–27 kg/m².
eGFR (MDRD)
Estimates GFR via simplified MDRD using serum creatinine, age, sex and ethnicity.
eGFR (CKD-EPI 2009)
Estimates GFR with the CKD-EPI 2009 equation — current standard for chronic kidney disease staging.
Blood Pressure Classification
Classifies systolic/diastolic blood pressure following Brazilian hypertension guidelines.
Normal Respiratory Rate by Age
Shows the normal RR range (breaths per minute) for newborn, infant, child and adult.
Normal SpO2 by Context
Shows normal SpO2 ranges for healthy adult, COPD and altitude — quick reference for nursing.
Bicarbonate in Acid-Base Balance
Estimates HCO3 using the Henderson-Hasselbalch equation from pH and pCO2.
Serum Anion Gap
Calculates the anion gap AG=Na-(Cl+HCO3) in mEq/L to investigate metabolic acidosis.
Plasma Osmolarity
Estimates plasma osmolarity via 2·Na + glucose/18 + urea/6 in mOsm/L.
Pediatric Paracetamol Dose
Calculates paracetamol dose in mg/kg for children (10–15 mg/kg/dose, max 75 mg/kg/day).
Pediatric Amoxicillin Dose
Calculates amoxicillin dose in mg/kg/day (50 mg/kg/day in 3 doses) for common pediatric infections.
Fuel Consumption (km/L)
Calculates average km/L from distance driven and liters refueled.
Fuel Cost per 100 km
Calculates fuel cost per 100 km given the vehicle consumption in km/L and price per liter.
Travel Time (mph and km/h)
Calculates travel time from distance and average speed, accepting mph or km/h input.
Cycling Travel Time
Estimates cycling time for a distance using typical speeds (touring 15 km/h, urban 20 km/h).
Walking Travel Time
Estimates walking time (slow 4 km/h, normal 5 km/h, brisk 6 km/h) for a distance in km.
Tire Pressure kPa to psi
Converts tire pressure between kPa, bar and psi, showing impact on fuel efficiency.
Wheel RPM from Speed
Calculates wheel rotation in RPM from tire diameter and vehicle speed in km/h.
Vehicle Braking Distance
Calculates braking distance d=v²/(2·µ·g) in meters from speed and friction coefficient.
Egg Boil Time by Altitude
Computes extra time to boil eggs at high altitude where water boils below 100C.
Baking Powder to Baking Soda
Converts baking powder grams into baking soda plus acid (lemon juice or vinegar).
Cup to Grams Converter
Converts cups of common ingredients (flour, sugar, milk, butter) to grams.
Spoon to Grams (Fats)
Converts table and tea spoons of oil, butter and margarine to grams and milliliters.
Milk to Plant Milk Substitution
Provides plant milk substitution amounts (almond, oat, coconut, soy) for cow milk in recipes.
White Sugar to Brown Sugar
Converts white sugar to brown or demerara in recipes adjusting batter moisture.
Coffee Amount per Person
Computes coffee grounds and water for traditional brewing for N people.
Meat Marinade Time
Suggests ideal marinade time by cut and thickness to avoid breaking fiber.
Pizza Dough Water Temperature
Computes water temperature based on ambient, flour and mixer friction for ideal dough temp.
Cake Yield by Pan Size
Computes slices and dough grams yielded by round pans of various diameters.
Thin Dough Rest Time
Computes rest time for thin doughs (pastry, esfiha) by ambient temperature.
Rice per Person
Computes raw rice grams and water mL per person for light or heavy consumption.
Beans per Person
Estimates raw bean grams per person and recommended soaking time by type.
Frying Oil Temperature
Indicates ideal oil temperature by food type and computes preheat time.
Meat Thaw Time
Computes safe meat thaw time in fridge or cold water by piece weight.
Heart Rate Training Zones
Computes 5 heart rate zones from age and resting HR using Karvonen formula.
VO2 Max Cooper Test
Estimates VO2 max (mL/kg/min) from distance covered in the 12-minute Cooper test.
Run Time from Distance
Computes total run time given distance in km and pace in min/km.
Running Pace
Converts time and distance to pace (min/km) and average speed (km/h).
Swimming Pace per 100 m
Computes swimming pace in min/100m and average speed from time and distance.
Cycling Pace per km
Computes cycling pace in min/km and average speed from time and distance.
Bench Press 1RM (Brzycki)
Estimates one-rep max (1RM) bench press by Brzycki formula.
Bench Press 1RM (Epley)
Estimates one-rep max (1RM) bench press by Epley formula.
Weekly Training Volume
Computes weekly tonnage (sets reps load) for a muscle group.
Cycling Power in Watts
Estimates cycling watts from rider weight, speed and grade.
Running Cadence (spm)
Converts speed and stride into cadence (steps per minute) and shows ideal range.
Cycling Cadence rpm
Computes cycling cadence (rpm) by speed and crank-cog ratio development.
Running Stride Length
Computes running stride length (m) from speed and cadence (spm).
Training TDEE Deficit
Computes total daily energy expenditure (TDEE) and calorie deficit or surplus.
Marathon Time Projected from Half
Projects full marathon time from half marathon using Riegel exponent.
Vehicle Yearly Carbon Footprint
Estimates annual vehicle CO2 emissions from distance driven and fuel consumption.
Plane Flight Carbon Footprint
Computes per-passenger CO2 emissions on short, medium or long haul flights.
Home Monthly kWh Consumption
Sums monthly kWh consumption of main appliances to estimate the bill.
Solar Water Heater Savings
Estimates yearly savings switching electric shower to solar heater by family usage.
Solar System Sizing by Usage
Sizes solar PV system power (kWp) based on monthly consumption and region irradiance.
Home Battery Storage
Computes battery capacity (kWh) needed for home backup given critical load.
LED vs Incandescent Savings
Compares yearly cost of LED vs incandescent bulb showing payback period.
Clothes Sun Dry Time
Estimates clothesline drying time by temperature, humidity and fabric type.
Shower Water Savings
Computes liters saved by shortening shower time and yearly bill impact.
Paper Recycling Trees Saved
Computes trees saved by the amount of paper sent to recycling.
Kitchen Gas Emission Comparison
Compares CO2 emissions between natural gas, LPG and electric for same usage.
EV vs ICE Savings
Compares cost per km between electric and combustion vehicles by yearly distance.
Hair Growth Speed
Estimates how many cm hair grows over a period and time to reach target length.
Nail Growth Speed
Computes nail growth in mm per week and time to fully replace a nail.
Battery AAA vs AA Energy
Compares total energy stored by AAA and AA alkaline batteries in mAh.
Lifetime Breaths
Estimates how many breaths a person takes during life based on age and average rate.
Lifetime Heartbeats
Estimates how many heartbeats a person has over life based on age and average HR.
Toilet Paper Monthly Rolls
Estimates how many toilet paper rolls a family uses per month and year.
Leaves per Tree by Size
Estimates leaves on a tree based on average height and canopy type.
Grass Growth Speed
Estimates daily grass growth in mm/day based on season and time to mow again.
BR Shoe Size from Foot Length cm
Converts foot length in centimeters to Brazilian adult shoe size.
BR Ring Size from Finger Circumference mm
Converts finger circumference in millimeters to Brazilian ring size number.
Bracelet Length from Wrist cm
Suggests bracelet length (with slack) from wrist circumference in centimeters.
BR Bra Size from Bust and Underbust
Calculates BR bra band number and cup letter from bust and underbust in centimeters.
Belt Size from Waist cm
Suggests belt size (S/M/L/XL or numeric) from waist circumference in centimeters.
Dress Shirt Size from Neck cm
Converts neck circumference in cm to Brazilian dress-shirt size.
Pants Size from Waist and Hip cm
Suggests pants size (PP/P/M/G/GG or numeric) from waist and hip in centimeters.
Fabric Quantity per Garment
Estimates meters of fabric needed to sew a garment based on type and size.
Yarn Quantity for Knitting cm
Calculates yarn weight needed for a knitted piece based on width, height and stitch.
Fabric Drying Time on Clothesline
Estimates fabric drying time on a clothesline based on type, temperature and humidity.
Zipper Size for Opening cm
Suggests commercial zipper size based on required opening length in centimeters.
Number of Buttons for Dress Shirt by Size
Suggests number of buttons to make a dress shirt by size.
Skirt Hem Length
Calculates total skirt fabric length needed including hem fold.
Wall Paint Quantity m2
Calculates liters of paint needed to paint a wall area in square meters.
Floor Tile Quantity m2
Calculates boxes of ceramic floor tiles needed for a given area in square meters.
Bathroom Wall Tiles Quantity
Calculates square meters and boxes of wall tile for a rectangular bathroom.
Wallpaper Rolls Quantity
Calculates how many wallpaper rolls are needed to cover a wall area.
Sod Slabs for Lawn
Calculates how many sod slabs are needed to cover a lawn area in square meters.
Garden Watering Time Liters
Calculates watering time to deliver a target amount of liters given a flow rate.
NPK Fertilizer for Plant Pot
Calculates grams of granular NPK fertilizer based on pot volume and plant type.
Plant Pruning Frequency by Type
Recommended pruning interval by plant type (shrub, lawn, fruit tree, rose).
Sand and Cement per m3 of Mortar
Calculates cement and sand quantities for mortar mix by volume and ratio.
Bricks for Wall
Calculates how many bricks are needed to build a wall given dimensions.
Hedge Plants per Meter
Calculates number of hedge plants for a given length and spacing.
Cistern Volume in Liters
Calculates capacity in liters of a rectangular cistern from its dimensions.
Seedlings per Hectare
Calculates seedlings per hectare based on row and plant spacing.
Dog Age in Human Years Modern Formula
Converts dog age to human years using the AVMA logarithmic formula (2019).
Cat Age in Human Years
Converts cat age to human years using standard veterinary table.
Dog Food Quantity by Weight
Calculates daily grams of dry food for an adult dog by weight and activity.
Cat Food Quantity by Weight
Calculates daily grams of dry food for a cat by weight and life stage.
Cat Litter Quantity per Month
Estimates kilograms of cat litter consumed per month per adult cat.
Daily Water for Pet by Weight
Calculates daily water intake in ml recommended for dogs and cats based on weight.
Dog Bath Frequency by Coat
Recommended interval between dog baths based on coat type and activity.
Pet Dewormer Dose by Weight
Calculates number of dewormer tablets given pet weight and per-tablet coverage.
Tropical Fish Aquarium Temperature
Recommended water temperature range for common tropical aquarium species.
Aquarium Fish Feed Quantity
Estimates daily dry food in grams for aquarium fish based on count and average size.
Kennel Minimum Area by Dog Size
Calculates minimum kennel area based on dog size and number of animals.
Daily Dog Walk Time by Breed Energy
Suggests daily walk time based on dog breed energy level and age.
Credit Card Revolving Cost
Calculates revolving credit card debt after months at a given monthly rate.
Overdraft Interest Cost
Calculates overdraft debt after days used at a given monthly rate.
CDB vs Savings Account
Compares net return of post-fixed CDB to savings over a chosen period.
CDB IOF and Income Tax on Early Redemption
Calculates IOF (early redemption under 30 days) and regressive IR on a CDB.
LCI/LCA vs Equivalent CDB
Shows the gross CDB rate needed to match a tax-free LCI/LCA yield.
REIT Dividend Yield
Calculates annualized dividend yield of a Brazilian REIT from monthly distribution and share price.
Stock Dividend Yield
Calculates annual dividend yield of a stock from yearly dividend and share price.
Day Trade Income Tax BR Stocks
Calculates income tax on day trade gains for Brazilian stocks (20%) with 1% withholding.
Swing Trade Income Tax BR Stocks
Calculates 15% tax on swing trade gains accounting for the R$20,000 monthly exemption.
REIT Capital Gains Tax
Calculates 20% income tax on capital gains from selling Brazilian REIT shares.
Retirement Goal Monthly Contribution
Calculates monthly contribution to reach a retirement goal with compound interest.
50/30/20 Monthly Budget
Splits monthly net salary into 50% needs, 30% wants, 20% savings.
Backpacker Trip Budget by Days
Estimates total backpacking trip budget from daily spend and number of days.
Flight Ticket Cost Comparison
Compares flight ticket costs for routes and dates based on per-leg price.
Recommended Carry-on Time at Brazilian Airports
Estimates total wait time with carry-on at Brazilian airports before boarding.
Recommended Online Check-in Time Before Flight
Shows recommended advance time for online check-in before domestic or international flights.
International ATM Withdrawal Cost with IOF
Calculates total cost of international ATM withdrawal with 1.1% IOF tax on commercial rate.
Low-cost vs Conventional Travel Savings
Shows savings from choosing low-cost travel (hostel, street food, public transport) over conventional.
Clothing Quantity for Trip by Days
Estimates clothing pieces to pack for a trip based on number of days.
Jet Lag Recovery Time by Time Zones
Estimates days to recover from jet lag based on number of time zones crossed.
Time Zone of Countries vs Brazil
Shows hour difference between Brazil (UTC-3) and selected world cities.
Airport-City Distance and Time BR
Estimates distance in km and travel time between Brazilian airports and city centers.
Countries Visited in a Lifetime Goal
Shows how many countries you can visit based on trips per year and current age.
Trip Photos and Storage Needed in GB
Estimates trip photo count and storage needed in GB.
Airbnb vs Hotel Lodging Budget
Compares total lodging cost between Airbnb and hotel for a number of nights and guests.
Daily Cattle Feed by Weight
Calculates daily concentrate and forage feed in kg for cattle based on live weight.
Eggs per Laying Hen per Year
Estimates annual egg production per laying hen from daily average and dozens per month.
Cow Milk Liters per Day
Estimates daily milk liters per dairy cow by breed and management level.
Pasture Hectares for Cattle Herd
Calculates hectares of pasture needed for a cattle herd based on stocking rate.
NPK Fertilizer Amount per Crop
Estimates kg of NPK fertilizer per hectare based on selected crop (soy, corn, coffee).
Crop Harvest Time in Months
Shows months between planting and harvest for major Brazilian crops.
Soybean Yield in Bags per Hectare
Calculates total soybean bag production from yield per hectare and planted area.
Corn Yield in Bags per Hectare
Calculates total corn bag production from yield per hectare and planted area.
Coffee Yield in Bags per Hectare
Calculates total coffee bag production from yield per hectare and planted area.
Planting Density by Crop in cm
Shows recommended spacing between plants and rows in centimeters for several crops.
Irrigation Water Amount per Crop
Estimates liters of water per hectare per day for irrigation by crop type.
Eucalyptus Seedlings per Hectare
Calculates eucalyptus seedlings per hectare based on 3x2 or 3x3 meter spacing.
Pasture Area Needed per Head of Cattle
Calculates hectares of pasture needed per head of cattle based on AU/ha stocking rate.
Student Final Grade Average by Quarters
Calculates student final average from term grades entered.
Brazilian Grade to US Letter Conversion
Converts Brazilian grade 0-10 to US school system letter concept.
Weighted School Average with Weights
Calculates weighted school grade average with different weights per assessment.
Minimum School Attendance for Approval in Brazil
Calculates minimum attendance hours for 75% required by Brazilian LDB law.
Study Time per Subject Goal
Calculates weekly study hours needed to reach study goal per subject by a deadline.
Book Reading Time by Pages
Estimates hours and days to read a book from total pages and daily pace.
Reading Speed in Words per Minute
Calculates reading speed in words per minute from time spent and total words.
Ideal Resume Pages by Experience
Suggests ideal resume page count based on years of professional experience.
Exam Questions Needed to Pass
Calculates how many questions you need to get right on an exam to reach passing grade.
College Entrance Score Target for a Course
Shows target college entrance points needed to enroll in competitive Brazilian courses.
Enem Score Needed for Medicine
Shows average Enem SISU cutoff scores for Medicine course at Brazilian universities.
Enem Score Needed for Law
Shows average Enem SISU cutoff scores for Law course at Brazilian universities.
Wedding Gifts by Number of Guests
Estimates average number of wedding gifts received based on guest count.
Event Drinks per Guest
Estimates liters of soda, juice, water and alcohol per person at a multi-hour party.
Event Food per Guest
Estimates grams of food (snacks, main course, dessert) per person at an event.
Average Dating Time Before Marriage in Brazil
Shows average dating time before marriage in Brazil and compares with your current relationship.
Valentines Day Gift Budget
Suggests Valentines Day gift budget based on relationship length.
Kids Birthday Gift Budget
Suggests kids birthday gift budget based on child age and relationship.
Kids Birthday Party Budget
Estimates total kids birthday party budget based on guest count.
Baby Shower Budget by Guests
Estimates total baby shower budget from guest count and average cost per person.
College Graduation Budget
Estimates total college graduation budget including ball, dinner and photo.
Sweet 15 Party Budget
Estimates total sweet 15 party budget based on guest count.
Playlist Songs Needed by Duration
Calculates how many songs are needed for a party playlist based on total duration.
Wedding Album Photo Count
Estimates number of photos to deliver in a wedding album based on pages and style.
Admissible Stress for Steel and Concrete
Computes admissible stress for steel and concrete given characteristic strength and safety factor.
Simply Supported Beam Deflection
Computes max deflection of a simply supported beam under uniformly distributed load.
Maximum Bending Moment Beam
Computes maximum bending moment for a simply supported beam (UDL or central point load).
Beam Shear Stress
Computes max shear stress for a rectangular beam under a shear force.
Beam Bending Stress
Computes bending normal stress on a beam from bending moment and section modulus.
Column Compression Stress
Computes compression stress on a column from axial load and section area.
Euler Column Buckling
Computes critical buckling load (Pcr) of a slender column using Euler formula.
Rebar Area Concrete Beam
Simplified estimate of longitudinal rebar area for a reinforced concrete rectangular beam.
Concrete Volume Beam
Computes concrete volume in cubic meters needed for a rectangular beam.
Structural Safety Factor
Computes the safety factor (FS) as the ratio of resisting load to applied load.
Two-way Slab Deflection
Computes max deflection of a simply supported rectangular slab under uniform load.
Steel Poisson Coefficient
Computes lateral strain from Poisson ratio and axial strain for a steel bar.
Pavement Traffic Resistance
Estimates N (equivalent standard axle operations) for pavement design under Brazilian DNIT method.
Molarity by Mass and Volume
Computes molar concentration (mol/L) from solute mass, molar mass and volume.
Molality by Solvent Mass
Computes molality (mol/kg) from moles of solute and solvent mass in kilograms.
Mole Fraction Mixture
Computes mole fraction of each component in a two-component mixture from moles.
Dilution C1V1 equals C2V2
Solves dilution equation C1V1 = C2V2, leave the unknown as zero or negative.
Weak Acid Base pH
Estimates pH of a weak monoprotic acid using Ka*C approximation and conjugate for weak base.
pKa and pKb from Constants
Converts Ka and Kb constants to pKa and pKb and checks pKa + pKb = 14 at 25 Celsius.
Reaction Yield Percent
Computes the percent yield of a chemical reaction from actual mass and theoretical mass.
Limiting Reagent by Moles
Determines the limiting reagent in a binary reaction from available moles and stoichiometric coefficients.
Ideal Gas Volume PV nRT
Computes volume V of an ideal gas from n, T (K) and P (atm) via PV = nRT.
Solution Density Mass Volume
Computes solution density in g/mL from total mass and total volume of the sample.
Lab Solution Osmolarity
Computes osmolarity (osmol/L) from molarity and number of dissociated particles per mole.
Isotope Half Life Time
Computes remaining mass of a radioactive isotope after N half-lives using decay law.
Reaction Rate Arrhenius
Computes the rate constant k of a reaction via Arrhenius equation given A, Ea and T.
Numeric Function Derivative
Computes numeric derivative of a math expression at a point using central difference method.
Numeric Function Integral
Computes a definite integral over an interval using composite Simpson 1 3 rule.
Numeric Function Limit
Computes numeric two-sided limit of a function as x approaches a value.
Matrix 3x3 Determinant
Computes the determinant of a 3x3 matrix from its 9 inline elements.
Matrix 2x2 Inverse
Computes the inverse of a 2x2 matrix from its 4 elements a, b, c and d when det is non zero.
Matrix 2x2 Determinant
Computes the determinant of a 2x2 matrix from its 4 inline elements a, b, c and d.
Matrix Trace
Computes the trace (main diagonal sum) of a square matrix of any order entered inline.
3D Vector Norm
Computes the Euclidean norm of a 3D vector from its x, y and z components.
3D Cross Product
Computes the cross product of two vectors in R3 from their components in a single line.
3D Dot Product
Computes the dot product of two vectors in R3 from their components in a single line.
3D Points Distance
Computes the Euclidean distance between two points in 3D space from their coordinates.
Plane Equation by 3 Points
Computes the general plane equation a x + b y + c z + d equal to zero from 3 non collinear points.
Star Apparent Magnitude Calculator
Calculates apparent magnitude of a star from observed flux versus reference flux using the Pogson logarithmic scale.
Star Absolute Magnitude Calculator
Converts apparent magnitude to absolute magnitude given the distance in parsecs via the distance modulus formula.
Star Distance Modulus Calculator
Computes distance modulus m - M and equivalent distance in parsecs from apparent and absolute star magnitudes.
Distance in Parsec from Magnitude
Calculates distance in parsec and light-years from a stars distance modulus (m - M).
Star Color Temperature Calculator
Estimates effective star temperature in Kelvin from the B-V color index using Ballesteros approximation.
Star Bolometric Luminosity Calculator
Computes star bolometric luminosity in watts and in solar luminosities from radius in solar radii and effective temperature.
Galactic Jeans Mass Calculator
Calculates approximate Jeans mass of an interstellar cloud from temperature in Kelvin and density in particles per cm3.
Planet Escape Velocity Calculator
Calculates surface gravitational escape velocity of a planet in km/s from its mass in kg and radius in km.
Kepler Orbital Period Calculator
Applies Kepler third law to compute orbital period in years from semi-major axis in AU and total system mass in solar masses.
Asteroid Mean Density Calculator
Computes mean density of an asteroid in g/cm3 from mass in kg and mean diameter in km assuming spherical geometry.
Planet Surface Gravity Calculator
Computes surface gravity acceleration of a planet in m/s2 and in Earth-g from mass in kg and radius in km.
Planet Rotation Time Calculator
Computes equatorial tangential velocity of a planet in km/h from radius in km and rotation period in hours.
Sumerian Zodiac by Date
Returns the Sumerian zodiac sign (Mul.Apin) corresponding to a date given in YYYY-MM-DD format.
Wind Chill Temperature Calculator
Computes wind chill temperature in Celsius using the North American formula from air temperature and wind speed in km/h.
Relative Humidity from Dew Point
Computes air relative humidity percentage from dry-bulb temperature and dew point in Celsius.
Barometric Atmospheric Pressure by Altitude
Estimates atmospheric pressure in hPa at an arbitrary altitude in meters using the simplified standard atmosphere formula.
Wind Gust to Mean Ratio
Computes the gust factor G/U and the mean wind speed from the gust velocity and the ratio entered.
Cumulative Rainfall in mm per Hour
Sums cumulative precipitation in mm from a list of hourly values separated by commas and computes mean and peak.
Rain Intensity in mm per Hour
Classifies rain intensity (light, moderate, heavy, very heavy) from precipitation rate in millimeters per hour.
Snow mm to cm Ratio Calculator
Converts rain-equivalent millimeters to centimeters of snow applying the typical regional snow liquid ratio (SLR).
Lightning Distance by Thunder Delay
Calculates distance in km and miles to a lightning strike from the seconds between flash and thunder using sound speed.
Lightning Frequency per km2
Computes lightning density per km2 per year from the total observed strikes, the area in km2 and the time interval.
Class A Pan Evaporation Calculator
Estimates reference evapotranspiration ETo in mm/day applying the Class A pan coefficient Kp to a measured evaporation.
Incident Solar Radiation W per m2
Estimates incident solar irradiance in W per m2 at ground level from the solar constant and the cosine of the zenith angle.
Wind Direction Degrees to Cardinal
Converts a wind direction angle in degrees (0 to 360) to the approximate cardinal direction across 16 sectors.
Virtual Temperature from Humidity
Computes virtual temperature in Kelvin from air temperature in Kelvin and water vapor mixing ratio in kg per kg.
Lens Field of View by Focal and Sensor
Computes horizontal, vertical and diagonal angle of view of a lens from focal length in mm and sensor size in mm.
Hyperfocal Distance by Aperture
Computes hyperfocal distance in meters for sharp infinity from focal length in mm, f-number and circle of confusion in mm.
Exposure Time by ISO and Aperture
Calculates a new exposure time in seconds when ISO and f-number change while keeping the same EV as a reference exposure.
Lens f-number by Focal and Diameter
Computes lens f-number from focal length in mm and effective entrance pupil diameter in mm using the relation N = f/D.
Lens Diffraction Diaphragm mm
Computes the Airy disk diameter in micrometers in a photographic lens from the f-number and the wavelength in nanometers.
Illuminance from Lumens and Area
Computes illuminance in lux from luminous flux in lumens and illuminated area in m2 via E = phi / A.
Distance for Lux Illuminance from Watt
Estimates the distance from a point source in meters to reach a target lux level from luminous intensity in candelas using inverse-square law.
Depth of Field and Circle of Confusion
Computes total depth of field in meters between near and far limits from focal length, f-number, subject distance and circle of confusion.
Chromatic Aberration of Lens
Estimates longitudinal chromatic aberration in micrometers between two wavelengths from the Abbe number and the focal length of the lens.
CCT Kelvin to Mireds Calculator
Converts correlated color temperature CCT in Kelvin to mireds and computes the mired shift between two photographic light sources.
Photo EV from ISO Aperture Time
Computes exposure value EV from a combination of ISO, f-number and exposure time using EV100 = log2(f2/t) - log2(ISO/100).
Shutter Priority Aperture and ISO
Computes the equivalent f-number when shutter speed or ISO is changed in shutter priority mode while keeping exposure constant.
CLT Brazilian Severance Notice Calculator
Computes proportional indemnified prior notice on Brazilian CLT termination from gross monthly salary and full years of service (3 extra days per year after the first).
CLT FGTS 40 Percent Severance Fine Calculator
Computes the 40% FGTS severance fine on Brazilian CLT termination without cause given the worker FGTS balance.
CLT Brazilian 13th Salary Calculator
Computes proportional Brazilian CLT 13th salary from gross monthly wage and months worked (full months with at least 15 days).
CLT Vacation One Third Sold Calculator
Computes the value of selling one third of Brazilian CLT vacation days (abono pecuniario) including the constitutional 1/3 bonus.
CLT Night Shift Bonus Calculator
Computes the 20% Brazilian night shift premium (22h to 5h) using reduced 52 min 30 s urban night hour and given hourly wage.
CLT Hazard Pay Bonus Calculator
Computes the 30% Brazilian CLT hazard pay (periculosidade) bonus on base salary for workers under NR 16 risk activities.
CLT Unhealthiness Bonus by Degree Calculator
Computes Brazilian CLT unhealthiness bonus of 10, 20 or 40 percent on the minimum wage per NR 15 degree (low, medium, max).
CLT Overtime 50 and 100 Percent Calculator
Computes Brazilian CLT overtime with 50% surcharge on weekdays and 100% on Sundays and holidays from the regular hourly wage.
CLT Optional Union Monthly Fee Calculator
Computes the optional Brazilian CLT union monthly fee (as percent of category floor or flat amount) authorized by the worker.
CLT Category Salary Floor Comparator
Compares a Brazilian CLT employee wage with the union category floor (piso salarial) from the CCT and shows the difference.
CLT Transport Voucher 6 Percent Discount Calculator
Computes the 6% maximum payroll deduction for Brazilian CLT transport voucher (vale transporte) and the effective discount vs real transport cost.
CLT Meal Voucher CCT Discount Calculator
Computes the Brazilian CLT meal voucher (vale refeicao) payroll discount using the category CCT percent on the total monthly benefit.
CLT Maternity and Paternity Leave Calculator
Computes Brazilian CLT maternity (120 default or 180 Empresa Cidada) and paternity (5 default or 20 extended) leave duration from a starting date.
Tesouro Prefixado Bond Yield Calculator
Computes gross yield of a Brazilian Tesouro Prefixado bond from invested amount, annual contracted rate and years to maturity.
Tesouro Selic Bond Yield Calculator
Estimates gross yield of a Brazilian Tesouro Selic bond from invested amount, average annual Selic rate and years to maturity or redemption.
Tesouro IPCA Plus Yield Calculator
Estimates gross yield of a Brazilian Tesouro IPCA bond combining annual real coupon with expected IPCA inflation over the given years.
Fixed Income CDI Percentage Yield Calculator
Computes the annual gross yield of a fixed income product contracted as a percent of the Brazilian CDI from CDI rate and offered percent.
CDB Regressive Income Tax Yield Calculator
Computes net yield of a Brazilian post-fixed CDB applying the regressive IR table (22.5 down to 15%) based on holding period in days.
Brazilian REIT FII Tax Free Income Calculator
Computes the monthly tax-free dividend distributed by a Brazilian REIT (FII) from the number of shares held and per-share distribution amount.
Brick FII Vacancy and Rental Income Calculator
Computes the effective rental income of a Brazilian brick FII from theoretical total rent and portfolio vacancy rate in percent.
FII Cap Rate Calculator
Computes annualized cap rate of a Brazilian REIT (FII) dividing annual net operating income (NOI) by the portfolio asset value.
Stock PE Forward PE and PB Ratio Calculator
Computes price to earnings (P/E), forward P/E and price to book (P/B) fundamentals of a stock from current price, EPS and book value per share.
EBITDA Margin Calculator
Computes EBITDA margin percent of a company from annual EBITDA and net revenue, useful for operating performance analysis.
Stock Dividend Payout Ratio Calculator
Computes the payout ratio of a listed company from annual dividends paid and net income earned in the same period.
Brazilian Incentivized Debenture Yield Calculator
Estimates the net equivalent yield of a Brazilian IR exempt incentivized debenture vs a taxed CDB paying a percent of CDI under the regressive table.
CEFR Language Learning Time Calculator
Estimates hours of study to reach a CEFR level (A1 to C2) in a language based on FSI difficulty category for Portuguese native speakers.
Vocabulary Size for Fluency Calculator
Estimates passive vocabulary size needed to reach a target text coverage in a language using an approximate Zipf law model.
Foreign Language Page Reading Time Calculator
Estimates how long a reader takes to read a page in a foreign language based on current CEFR level and number of words on the page.
Zipf Law Word Frequency Calculator
Computes the relative estimated frequency of a word in a corpus by Zipfs law (1/rank) from the word rank in the chosen language.
Romance Language Lexical Similarity Calculator
Estimates approximate lexical similarity between two Romance languages from known tables for Portuguese, Spanish, Italian, French and Romanian.
Document Translation Time Estimator
Estimates total time a professional translator takes to translate a document given total words and average pace in words per hour.
Translation Review Time Estimator
Estimates total time a reviewer takes to review a translation from word count and average review pace in words per hour.
Tuning Cents Deviation Calculator
Computes pitch deviation in cents between two musical frequencies using 1200 * log2(measured / reference).
Guitar String Vibration Frequency Calculator
Computes the fundamental frequency of a guitar string from vibrating length, tension and linear mass density via f = (1/2L) sqrt(T/mu).
Guitar String Tension by Mass Calculator
Computes required tension in newtons on a guitar string for a given fundamental frequency from string length and linear mass density.
Violin String Tension Calculator
Computes tension in newtons needed on a violin string to produce a fundamental frequency from vibrating length and linear mass density.
Flute Pipe Length for Frequency Calculator
Computes approximate length of an open flute pipe to emit a fundamental note using L = c / 2f with sound speed 343 m/s in air.
Closed Pipe Organ Length Calculator
Computes approximate length of a closed pipe organ tube to emit a fundamental frequency using L = c / 4f in atmospheric air.
Drum Membrane Diameter Calculator
Computes approximate radius of an ideal circular drum membrane for a fundamental frequency using first mode (alpha_01 = 2.404) and transverse wave speed.
Piano Sustained Note Decay Calculator
Computes exponential amplitude decay of a piano note with the sustain pedal released using typical half-life of the note and elapsed time.
Orchestra Tuning Time Calculator
Estimates total tuning time of a full orchestra before a concert from number of musicians per section and average time per musician.
Pizzicato String Audible Decay Calculator
Estimates audible vibration time of a plucked open string in guitar or violin from oscillator quality factor Q and fundamental frequency.
Audio Beat Frequency Calculator
Computes the beat frequency perceived when playing two close notes simultaneously from both frequencies in Hertz, useful for tuning by ear.
Overtone Harmonic Series Calculator
Computes the first N overtones of a fundamental frequency listing each integer multiple frequency and interval in cents from the fundamental.
Sealed Subwoofer Box Volume Calculator
Computes optimal sealed subwoofer box volume via Vb = Vas / (Qtc^2/Qts^2 - 1) from speaker Thiele Small parameters.
Bitcoin Satoshi BTC Converter
Converts between satoshi and BTC knowing that 1 BTC equals 100 million satoshis for wallet and crypto calculations.
Ethereum Gwei ETH Wei Converter
Converts between wei, gwei and ETH knowing 1 ETH equals 1e9 gwei and 1e18 wei for smart contract and gas fee calculations.
Ethereum Gas Cost Calculator
Computes total Ethereum transaction cost in ETH and USD from gas used, gas price in gwei and ETH USD quote.
Mining Hash Rate Converter
Converts hash rate between H s, KH s, MH s, GH s, TH s, PH s and EH s for ASIC and GPU mining comparison.
Mining Watt Revenue Calculator
Estimates daily bitcoin mining revenue from TH s, watts consumed, kWh cost and expected gross revenue per TH s per day.
Staking Yield APY Monthly Calculator
Computes equivalent monthly and daily yield from staking APY and the principal amount applied in tokens.
DeFi Liquidity Pool TVL Calculator
Computes total TVL and per LP token value of a DeFi liquidity pool from both asset amounts, prices and LP supply.
DeFi Impermanent Loss Calculator
Computes impermanent loss of a 50 50 DeFi pool between two assets from the ratio of final price divided by initial price.
NFT Royalty Arbitrum Calculator
Computes net NFT sale revenue on Arbitrum after creator royalty, marketplace fee and approximate gas cost.
Bitcoin Block Time Calculator
Computes approximate time to mine N bitcoin blocks adopting the 10 minute average target per block kept by difficulty adjustment.
Ethereum Block Time Calculator
Computes approximate time to mine N Ethereum blocks post merge adopting the 12 second average per slot of Beacon Chain.
Bitcoin Halving Date Calculator
Computes approximate next bitcoin halving date from current block and halving target block using 10 minute block time.
Spectrum Attribute Clash Calculator
Computes how many 8x8 attribute clash regions exist on a 256x192 pixel ZX Spectrum screen used by the famous color hardware issue.
Amiga OCS Palette Calculator
Computes simultaneous colors and required bitplanes for Amiga Original Chip Set video modes per chosen horizontal width.
Apple II Hi Res Resolution Calculator
Computes pixels and bytes occupied by Apple II hi res 280x192 screen with 6 active bits per byte and color bytes per line.
MSX1 VDP VRAM Calculator
Computes VRAM usage on MSX1 TMS9918 VDP in graphic 1, graphic 2 and text modes including pattern table and sprite attribute table.
TRS-80 Model I Charset Calculator
Computes the 5x7 bytes of each TRS-80 Model I character given its ASCII code presenting the 7 bytes forming the character rows.
Book Pages By Words Calculator
Estimates book pages from total words and book type (pocket, trade, hardcover, textbook) which defines words per page.
Book Writing Time Calculator
Computes days and months to write a book with a target word count from the daily pace given in words per day.
Flesch Portuguese Readability Calculator
Computes Flesch reading ease index for Portuguese from total words, syllables and sentences already counted by the writer.
Gunning Fog Index Calculator
Computes Gunning Fog reading complexity index from words, sentences and complex words with three or more syllables in the text.
SMOG Readability Calculator
Computes SMOG (Simple Measure of Gobbledygook) readability index from total polysyllabic words in a 30 sentence text sample.
Automated Readability Index Calculator
Computes Automated Readability Index (ARI) from characters, words and sentences returning approximate reader grade level.
Dale Chall Readability Calculator
Computes Dale Chall readability index from percentage of difficult words (outside the 3000 common word list) and average sentence length.
Novel Reading Time Calculator
Estimates total reading time of an N page novel based on standard words per page and typical adult Portuguese reading speed.
Portuguese Common Word Frequency Calculator
Shows estimated relative frequency of very common Portuguese words from corpus lists and indicates where it falls in the top thousand.
Paragraphs Per Page Calculator
Estimates paragraphs per book page based on work type (novel, nonfiction, textbook) and average paragraph length in lines.
Novel Character Count Calculator
Suggests typical number of named, secondary and extra characters in a novel based on given literary genre (fantasy, romance, noir, etc).
Book Chapter Count Calculator
Computes suggested chapter count for a book based on total words and average words per chapter of given genre.
Egypt Pyramid Build Time Calculator
Estimates Egyptian pyramid construction time from volume in cubic meters and daily average rate of stones laid by workers.
Khufu Pyramid Stones Calculator
Computes approximate stone block count of Great Pyramid of Khufu from 2.5 million m3 volume and average block size.
Statue Of Liberty Height Calculator
Converts and compares total Statue of Liberty height in meters, centimeters, feet, inches and multiples of average human height.
Historic Train Speed Calculator
Compares typical speeds of famous historic trains (1830 Rocket, 1870 Pony, 1981 TGV, 1964 Shinkansen) in km h and mph for trivia.
Horse Carriage Speed Calculator
Computes typical speed of different horse drawn carriages in 19th century in km h from number of horses and carriage type.
Pony Express Delivery Time Calculator
Computes approximate Pony Express historic delivery time between St Joseph Missouri and Sacramento California from miles.
Library Of Alexandria Books Calculator
Estimates papyrus scrolls and modern equivalent books at the Library of Alexandria from up to 700000 scrolls historic estimate.
Great Wall Build Years Calculator
Computes total Great Wall of China construction time from length in km and average meters of wall raised per year by workers.
Great Wall Workers Calculator
Estimates how many workers were needed to build the Great Wall of China from total structure volume and average rate per worker year.
Colosseum Rome Build Time Calculator
Computes total Colosseum of Rome construction time from cubic meter volume and daily average stone placed by workers.
Roman Mile Passus Calculator
Converts ancient Roman distances in mille passus, Roman feet, current km, equivalent to approximately 1480 meters per thousand paces.
Greek Trireme Speed Calculator
Computes typical ancient Greek trireme speed in knots, km h and mph from rowing regimes (cruise, combat) and rower count.
Cruise True Airspeed Calculator
Computes true airspeed (TAS) of an aircraft in cruise from indicated airspeed and altitude using typical 2 percent correction per thousand feet.
Aero Pressure Density Altitude Calculator
Computes pressure altitude from local QNH and density altitude from pressure altitude and ISA temperature deviation in feet for aviators.
Takeoff Runway Distance Calculator
Estimates single engine aircraft takeoff distance from weight, pressure altitude and temperature using typical aircraft manual corrections.
Landing Runway Distance Calculator
Estimates single engine aircraft landing distance from weight, pressure altitude and temperature using typical operating manual corrections.
Aviation Wind Gust Component Calculator
Computes headwind and crosswind component on the runway from meteorological wind direction, wind speed in knots and runway heading.
Flight Time Speed Distance Calculator
Computes planned flight time in hours and minutes from average true airspeed in knots and planned route distance in nautical miles.
Jet Fuel Burn Knots Liters Calculator
Computes total jet fuel burn in liters from average flow in kg per hour, ground speed in knots and route distance in nautical miles.
Load Factor Bank Angle Calculator
Computes load factor (g) in level turn from bank angle in degrees as the aircraft maintains altitude during typical maneuver or training.
STOL Stall Speed MPH Calculator
Estimates short takeoff and landing minimum speed of a light aircraft in mph from weight and wing maximum lift coefficient configuration.
Mach Number Speed Altitude Calculator
Computes aircraft Mach number from true airspeed in knots and altitude in feet using the speed of sound in the ISA standard atmosphere.
Mayday Helicopter Response Time Calculator
Computes average rescue helicopter response time to victim from distance in nautical miles, average speed in knots and dispatch prep time in minutes.
Jet Airway Route Time Calculator
Computes total jet airway route time from summed segments in nautical miles and average TAS at the selected cruise flight level on the way.
Helicopter Rotor Tip Speed RPM Calculator
Computes tip speed in meters per second of a helicopter rotor blade from rotor rpm and blade radius in meters of the main rotor.
Ship Speed Knots MPH Converter
Converts ship speed in knots to km h, miles per hour and meters per second showing equivalents in common nautical and metric units.
Nautical Mile Meridian Distance Calculator
Computes distance between two latitudes at same longitude in nautical miles using one nautical mile per minute of arc along Earth meridian.
Ocean Crossing Time Knots Calculator
Computes ocean crossing time in days and hours from average speed in knots and total oceanic route distance in nautical miles for sailing.
Tide Oscillation Height Time Calculator
Computes average time between high tide and low tide from typical semidiurnal cycle and oscillation amplitude in meters between tide heights.
Wave Height Wind Force Calculator
Estimates significant sea wave height in meters from average wind speed in knots and wind fetch using a simple empirical relation for sailors.
Horizon Distance Eye Height Calculator
Computes visual distance to sea horizon in nautical miles and km from observer eye height in meters including standard atmospheric refraction.
Anchor Bottom Time Feet Calculator
Computes time for anchor to reach sea bottom from depth in feet and average chain descent rate of the boat winch during the operation.
Naval Rope Length Fathoms Calculator
Converts naval rope length in fathoms to meters, feet and yards using one fathom equal to approximately 1.8288 meters traditional value.
Submarine Surfacing Time Calculator
Computes submarine surfacing time from given depth in meters at the average upward velocity in meters per second of the rising hull body.
Sailing Apparent Wind Knots Calculator
Computes apparent wind speed in knots from true wind speed and boat speed under sail using direct vector sum in a head wind sailing course.
Lighthouse Visible Range Calculator
Computes lighthouse light visible range in nautical miles from light height and observer eye height on the vessel sailing at sea level.
Tide Collector Liters Time Calculator
Computes time for tide collector to fill given liters volume from average tide inflow in liters per second received on the vessel.
Sea Column Pressure Depth Calculator
Computes hydrostatic column pressure in salt water from given depth in meters summing atmospheric pressure and typical sea water density.
Ballistic Bore Projectile Speed Calculator
Computes average projectile speed inside firearm bore from barrel length in millimeters and propellant burn time in milliseconds inside the cartridge.
Wind Drift Projectile Shot Calculator
Computes lateral drift in meters of a rifle projectile from time of flight in seconds and crosswind in mph summing linear lateral deflection.
Ballistic Projectile Flight Time Calculator
Computes total ballistic projectile flight time from muzzle to target given distance in meters and average projectile velocity in meters per second.
High Trajectory Projectile Height Calculator
Computes maximum projectile trajectory height from initial velocity and elevation angle using basic ballistic vacuum equations of motion.
Low Trajectory Rifle Shot Calculator
Computes rifle bullet drop in cm at 100 meters from BC (ballistic coefficient), muzzle velocity in fps and sight zero distance in yards range.
Gun Recoil Momentum Calculator
Computes firearm recoil in joules and recoil velocity in meters per second from projectile mass, muzzle velocity and total firearm mass.
Gun Chamber Pressure Pascal Calculator
Computes peak gun chamber pressure in pascal from total force exerted by propellant gases and projectile cross sectional area in square mm.
Projectile Spin Rifling RPM Calculator
Computes spin rate in rpm given to a bullet by barrel rifling from muzzle velocity in fps and rifling twist rate in inches per turn.
Wind Deflection Shot MPH Calculator
Computes horizontal bullet deflection in inches at 600 yards from crosswind speed in mph and standard ballistic coefficient of the projectile.
Projectile Impact Altitude Vacuum Calculator
Computes projectile impact altitude when fired at an angle in vacuum from initial velocity, elevation angle and horizontal distance to the shot.
Explosive Fuse Detonation Time Calculator
Computes safety fuse burning time of explosive from fuse length in cm and standard burn rate in seconds per cm of the safety cord.
Blast Shock Wave Pressure Calculator
Computes peak shock wave overpressure in kPa at a distance in meters from a TNT charge in kg using Hopkinson scaling empirical relation.
Heron Triangle Area Calculator
Computes triangle area from three sides using Heron formula with semi-perimeter and square root.
Polygon Area Shoelace Calculator
Computes area of a simple polygon from a list of vertices using the Gauss shoelace formula and absolute value.
Circle and Ellipse Area Calculator
Computes circle area from radius and ellipse area from semi-axes a and b using the standard pi formulas.
Trapezoid Area Formula Calculator
Computes trapezoid area from larger base B, smaller base b and height h using the classic average bases formula.
Ellipse Perimeter Ramanujan II Calculator
Computes ellipse perimeter from semi-axes a and b using Ramanujan second approximation formula with high accuracy.
Pyramid Base Height Volume Calculator
Computes pyramid volume from base area and height using the classic one third times base area times height formula.
Frustum Cone Volume Calculator
Computes truncated cone volume from larger radius R, smaller radius r and height h using the standard frustum formula.
Torus Revolution Volume Calculator
Computes torus revolution volume from major radius R and tube radius r using the 2 pi squared times R r squared formula.
Platonic Solid Volume Calculator
Computes volume of the five Platonic regular polyhedra from edge length using the classic constant factor for each solid type.
Torus Revolution Surface Calculator
Computes torus revolution surface area from major radius R and tube radius r using the 4 pi squared times R r formula.
Point Line Distance 2D Calculator
Computes distance from a point to a line in the plane given line coefficients a x plus b y plus c equals zero and point coordinates.
Parallel Lines Distance 2D Calculator
Computes distance between two parallel lines in the plane from coefficients a x plus b y plus c1 and a x plus b y plus c2.
Vector Projection Calculator
Computes scalar and vector projection of vector u onto vector v in three dimensions using dot product and unit vector.
Arithmetic Geometric Harmonic Mean Calculator
Computes arithmetic, geometric and harmonic means simultaneously for a list of positive numbers separated by comma.
Median Quartiles IQR Calculator
Computes median, first quartile Q1, third quartile Q3 and interquartile range IQR of a list of numerical values.
Sample and Population Standard Deviation Calculator
Computes both sample standard deviation with n minus one and population standard deviation with n divisor from a list of numbers.
Pearson Spearman Correlation Calculator
Computes simultaneously Pearson product moment correlation and Spearman rank correlation coefficients between two variables.
Linear Regression OLS Calculator
Computes simple linear regression coefficients by ordinary least squares method from a list of x y data pairs.
Mean 95 Confidence Interval Calculator
Computes the ninety five percent confidence interval for a sample mean using approximate normal distribution with z equals 1.96.
T Test Two Samples Calculator
Computes Student t statistic for two independent samples from means, standard deviations and sizes using pooled variance approach.
Chi Square Frequency Test Calculator
Computes chi square goodness of fit statistic from observed and expected frequencies of each category for a hypothesis test.
Normal Distribution Z and Percentile Calculator
Converts a normal distribution value to standardized z score and estimates the cumulative percentile using error function approximation.
Poisson Probability Calculator
Computes probability of k occurrences in a Poisson distribution with mean lambda using the classic exponential factorial formula.
Binomial Probability Calculator
Computes probability of exactly k successes in n independent trials with probability p using binomial coefficient combination formula.
Sample Size Margin of Error Calculator
Computes minimum sample size for a proportion given desired margin of error and confidence level z score using standard formula.
Finite Population Sample Size Calculator
Computes sample size for a finite population N applying finite population correction with proportion p and confidence z score.
Aspect Ratio Image Video Calculator
Computes aspect ratio from width and height in pixels reducing to smallest integer ratio using greatest common divisor algorithm.
Frame Rate Edit Time Calculator
Computes total duration in hours minutes and seconds of an edited sequence from frame count and selected frames per second rate.
Render Time Frame Resolution Calculator
Estimates total render time for a sequence from average time per frame, total frames and resolution factor multiplier for scaling.
Video Bitrate Time Size Calculator
Computes video bitrate in megabits per second from file size in megabytes and total duration in seconds using standard 8 conversion.
Audio Bitrate Time Size Calculator
Computes audio bitrate in kilobits per second from file size in megabytes and total duration in seconds of the audio segment.
Pixel Resolution Image Size Calculator
Computes megapixels and estimates raw file size in megabytes from image width, height and bits per pixel color depth value.
Screenplay Script Time Format Calculator
Estimates screenplay running time in standard format using one page per minute baseline and dialogue density factor adjustment value.
Film Preproduction Time Calculator
Estimates film preproduction time from budget in millions and complexity score from one to five using industry production averages.
Film Postproduction Time Calculator
Estimates film postproduction time from shot hours and visual effects complexity level from one to five using industry average ratios.
Facade Orientation Sun Brazil Calculator
Suggests best main facade orientation in Brazil based on latitude for thermal comfort and natural daylight balance throughout the year.
Eave Solar Protection Brazil Calculator
Computes minimum eave overhang length to shade window from summer sun considering latitude and window opening height in meters.
Louver Cross Ventilation Calculator
Computes minimum louver opening area required to deliver target air changes per hour in cross ventilation from room volume and wind speed.
Ceiling Height Thermal Comfort Brazil Calculator
Suggests ideal ceiling height for thermal comfort in Brazilian rooms based on bioclimatic zone and room type using NBR recommendations.
Window Natural Light Area Calculator
Computes minimum window opening area for natural daylight based on floor area and lighting factor following NBR 15220 recommendation.
Garage Gate Vehicle Size Calculator
Computes minimum garage gate width and height based on vehicle type and recommended side clearance for passenger cars and pickup trucks.
Corridor Circulation Brazil Calculator
Suggests minimum residential and commercial corridor width based on use category and simultaneous people flow per hour NBR 9050.
Accessibility Ramp NBR 9050 Calculator
Computes minimum ramp length required for accessibility from height difference and maximum allowed slope percentage per NBR 9050 norm.
Stair Blondel Formula Calculator
Verifies stair riser and tread dimensions using Blondel formula and indicates whether values meet ergonomic comfort range for steps.
Parking Space Size Brazil Calculator
Suggests minimum garage parking space dimensions according to vehicle type and side column presence following NBR 9050 standards.
PCD Bathroom NBR 9050 Calculator
Suggests minimum accessible PCD bathroom dimensions according to fixture type and required transfer area following NBR 9050 norm.
Handrail Height Brazil Calculator
Suggests ideal handrail height for residential and public stairs based on user group and dual rule from NBR 9050 accessibility norm.
Parallel RLC Impedance Calculator
Computes the equivalent impedance of a parallel RLC circuit from R, L, C and frequency using complex admittance.
Series RLC Impedance Calculator
Computes the total impedance of a series RLC circuit from R, L, C and frequency using inductive and capacitive reactance.
RLC Resonance Frequency Calculator
Computes the resonance frequency of a series RLC circuit using the Thomson formula with inductance and capacitance.
Capacitor RC Charge Time Calculator
Computes the time to charge a capacitor from the time constant tau equals R times C and the target percentage.
Inductor RL Charge Time Calculator
Computes the time for an inductor current to reach a percentage from the time constant tau equals L over R.
Capacitor Stored Energy Calculator
Computes the energy stored in a capacitor from capacitance in farads and voltage in volts using half C V squared.
Inductor Stored Energy Calculator
Computes the energy stored in an inductor from inductance in henrys and current in amperes using half L I squared.
RLC Quality Factor Q Calculator
Computes the quality factor Q of a series RLC circuit from R, L and C using the ratio between reactance and resistance.
Parallel Current Divider Calculator
Computes the current in each branch of a parallel current divider from the total current and two resistances.
Series Resistor Voltage Divider Calculator
Computes the voltage across each resistor in a series voltage divider from the input voltage and R1, R2 values.
Resistor Power Dissipation Calculator (Watts)
Computes the power dissipated in a resistor in watts from current and resistance or from voltage and resistance.
Transformer Voltage Ratio Calculator
Computes the secondary voltage of a transformer from primary voltage and the N1 and N2 turns ratio provided.
Power Supply Efficiency Calculator
Computes the percentage efficiency of a power supply from output power and input power in watts.
BR Tropical Hot and Cold Months Calculator
Classifies the months of an annual series into hot, mild and cold for the Brazilian tropical climate using monthly means.
Drought Rainfall Deficit Calculator (mm)
Estimates the accumulated rainfall deficit in millimeters and the duration of drought from monthly rainfall and historical mean.
Flood Rainfall Accumulation Calculator (mm)
Estimates flood duration from accumulated rainfall in millimeters over a few days and the basin drainage capacity.
BR Köppen Climate Classification Calculator
Classifies the climate type by Köppen using monthly average temperatures and accumulated annual precipitation in millimeters.
Thornthwaite Climate Classification Calculator
Classifies the climate type by Thornthwaite using the annual water balance in millimeters and potential evapotranspiration.
Thornthwaite Aridity Index Calculator
Computes the Thornthwaite aridity index from the annual water deficit and potential evapotranspiration in millimeters.
Monthly Rainfall Index Calculator (mm)
Computes the average monthly rainfall index from total annual rainfall in millimeters and the number of rainy months.
BR Annual Mean Temperature Calculator
Computes the annual mean temperature from the twelve monthly averages in degrees Celsius with indicative climate classification.
BR Max and Min Temperature Calculator
Identifies the maximum and minimum temperature of the annual series from the twelve monthly averages and computes annual amplitude.
BR Daily Thermal Amplitude Calculator
Computes the average daily thermal amplitude from daily maximum and minimum temperatures in degrees Celsius and classifies the result.
Penman-Monteith Evapotranspiration Calculator
Estimates reference evapotranspiration ETo by a simplified Penman-Monteith formula from temperature, wind and radiation.
River Flood Return Period Calculator (Years)
Computes the return period of a flood in years from the annual exceedance probability by the formula T equals one over P.
Rainfall Runoff Coefficient by Area Calculator
Computes the weighted average rainfall runoff coefficient from the areas and partial coefficients of each surface type.
Average Human Reaction Time Calculator
Estimates the average human reaction time in milliseconds from simple or choice stimulus and the individual attention level.
Auditory and Visual Response Time Calculator (ms)
Compares auditory and visual response time in milliseconds from typical means in psychology research.
Blink Rate per Minute on Screen Calculator
Estimates blinks per minute during screen use from the screen time and the reported concentration level.
REM Sleep Time by Phases Calculator
Computes the total REM sleep time during a night from total sleep hours and the number of complete ninety-minute cycles.
Deep Sleep Time by Phases Calculator
Computes the total deep sleep time during a night from total sleep hours and the typical percentage of stages three and four.
Typical Circadian Cycle Calculator (Hours)
Estimates the duration of the circadian cycle in hours from the chronotype reported by the user using mean values.
GAD-7 Anxiety Score Calculator
Computes the total GAD-7 score from the seven answers zero to three and classifies the anxiety level.
PHQ-9 Depression Score Calculator
Computes the total PHQ-9 score from the nine answers zero to three and classifies the level of depressive symptoms.
PSS-10 Stress Score Calculator
Computes the total Perceived Stress Scale PSS-10 score from the ten answers and classifies current stress level.
MBI-3 Burnout Score Calculator
Computes the simplified MBI-3 burnout scale score from the three subscales and classifies overall risk.
Forgetting Curve Memorization Time Calculator
Estimates the ideal Ebbinghaus review interval from the number of previous repetitions and the desired retention level.
Experience Curve Learning Time Calculator
Estimates the time needed to master a task from the Henderson experience curve and the target number of repetitions.
Sous-vide Time by Temperature and Thickness
Computes sous-vide cooking time in minutes from meat thickness in centimeters and water bath temperature in Celsius.
Sous-vide Chicken Pasteurization Time
Computes the sous-vide pasteurization time for chicken from thickness and water bath temperature ensuring pathogen reduction.
Pressure Cooker Cooking Time Calculator
Estimates pressure cooker cooking time from food type and weight using conventional Brazilian tables.
Agar Gelling Percentage Amount Calculator
Computes the amount of agar-agar in grams for a target gelling from the volume of liquid in milliliters and the desired percentage.
Xanthan Thickener Percentage Amount Calculator
Computes the amount of xanthan gum in grams for a target thickening from the liquid volume and the recommended percentage.
Lecithin Foam Percentage Amount Calculator
Computes the amount of soy lecithin in grams to generate foam from the volume of liquid in milliliters and the target percentage.
Alginate Spherification Percentage Amount Calculator
Computes the amount of sodium alginate in grams for spherification from the base liquid volume and the recommended percentage.
Maltodextrin Texture Percentage Amount Calculator
Computes the amount of maltodextrin in grams to turn fats into powder from oil weight and the target percentage.
Isomalt Decor Percentage Amount Calculator
Computes the amount of isomalt in grams for sugar decoration from the desired volume and the percentage of added water.
Glucose Crystallization Percentage Amount Calculator
Computes the amount of glucose in grams to avoid crystallization of syrup from sucrose weight and the target percentage.
Smoking Time by Temperature and Wood Type Calculator
Estimates the smoking time in hours from wood type, weight of the piece and smoker temperature in Celsius.
Dry-cured Meat Time by Temperature Calculator
Estimates the curing time of dry-cured meat in days from cut thickness, salt percentage and chamber temperature in Celsius.
Stefan-Boltzmann Law Calculator
Computes radiated power per unit area (j = εσT⁴) — used in astrophysics and thermal radiation problems.
Relativistic Mass Calculator
Calculates relativistic mass m = m₀/√(1−v²/c²) given rest mass and velocity as a fraction of c.
Time Dilation Calculator
Calculates dilated time for a moving observer (twin effect) from proper time and velocity (fraction of c).
Cosmological Redshift Calculator
Converts between redshift z, recession velocity and distance using a simplified Hubble law.
Escape Velocity Calculator
Computes gravitational escape velocity of any body given its mass and radius — v = √(2GM/r).
Surface Gravity Calculator
Calculates surface gravitational acceleration of any planet given its mass and radius (g = GM/r²).
Apparent vs Absolute Magnitude Calculator
Converts between apparent and absolute stellar magnitudes given distance in parsecs or light-years.
Parallax to Distance Calculator
Converts parallax angle in arcseconds to distance in parsecs and light-years — classic astronomy method.
Stellar Habitable Zone Calculator
Estimates inner and outer radii of a star's habitable zone from luminosity relative to the Sun.
Planet Average Density Calculator
Computes a planet's mean density from mass and radius — classifies as rocky, icy or gas giant.
1RM (One Rep Max) Calculator
Estimates 1RM using Epley, Brzycki, Lander and Lombardi formulas with a median comparison across them.
VO2 max — Cooper Test Calculator
Estimates VO2 max from the distance covered in a 12-minute Cooper test — cardiorespiratory fitness metric.
Heart Rate Zones (Karvonen) Calculator
Computes the 5 training zones using the Karvonen method with resting HR and estimated max HR.
Calorie Deficit / Surplus Calculator
Calculates the calorie deficit or surplus needed to gain or lose X kg over N weeks — 7700 kcal/kg basis.
Weekly Training Volume Calculator
Adds weekly sets per muscle group and classifies as low, moderate or high volume.
RIR / RPE Conversion Calculator
Converts between RIR (Reps in Reserve) and RPE (Rate of Perceived Exertion) for strength training.
Swimming Pace per 100m Calculator
Computes swimming pace per 100m from total time and distance — converts into min/100m and speed.
Cycling Cadence to Speed Calculator
Computes cycling speed from cadence (rpm), chainring, cassette teeth and wheel diameter.
Trail Hiking Time (Naismith) Calculator
Estimates trail hiking time using Naismith's rule (distance plus elevation gain) with pack adjustment.
Borg Perceived Exertion Scale Calculator
Shows the Borg RPE scale (6-20) and maps it to approximate target heart rate based on age.
Festa Junina Quadrilha Budget
Estimates a Festa Junina party budget per guest including food, drinks and decoration.
Carnival Block Budget
Estimates a Brazilian carnival block party budget including costumes, band and infrastructure.
Feijao Tropeiro Per Person
Computes ideal Feijao Tropeiro quantity per person for a Minas Gerais event.
Feijoada Per Person
Computes ideal Brazilian feijoada quantity per person for a weekend lunch.
Acaraje Event (Bahia)
Computes acaraje quantity for a Bahia event per guest with feijao fradinho dough.
Cuiaba Hot Days Per Month
Estimates days per month in Cuiaba above 38 Celsius (thermal risk).
CD-RISC-10 Resilience Score
Computes the Connor-Davidson Resilience Scale 10-item score from items 0-4.
LOT-R Optimism Score
Computes the Life Orientation Test Revised (LOT-R) optimism score from 6 items 0-4.
GSE Self-Efficacy Score
Computes the General Self-Efficacy Scale (GSE) score from 10 items 1-4.
MAAS Mindfulness Score
Computes the Mindfulness Attention Awareness Scale score from 15 items 1-6 (higher = more mindful).
Core Flow State Scale Score
Computes the Core Flow State Scale short form from 9 items 1-5.
GQ-6 Gratitude Score
Computes the Gratitude Questionnaire 6-item (GQ-6) score on a 1-7 scale.
FMPS Perfectionism Score
Computes short Frost Multidimensional Perfectionism Scale score from 8 items 1-5.
SCS Self-Compassion Score
Computes the Self-Compassion Scale short form (12 items) score on a 1-5 scale.
Rosenberg Self-Esteem Scale Score
Computes the Rosenberg Self-Esteem Scale (RSES) score from 10 items 0-3.
UCLA Loneliness Scale Score
Computes the UCLA Loneliness Scale 3-item short version score (1-3).
SWLS Life Satisfaction Score
Computes the Satisfaction with Life Scale (SWLS) score from 5 items on a 1-7 scale.
ECR-R Attachment Score
Computes a short Experiences in Close Relationships-Revised score from 8 items 1-7.
Bahia Rip Current Hours
Estimates dangerous rip current hours per month at Bahia coast.
Cabo Frio Tide Cycle
Computes Cabo Frio average tidal cycle and hours to next high tide.
Fortaleza Storm Days Per Month
Estimates rainy storm days per month in Fortaleza city.
Fish School Volume Count
Estimates number of fish in a school given the school volume in liters.
Fishing Hook Time by Bait Type
Estimates average hook-in-water wait time per bait type (live, artificial, mass).
Fishing Rod Lifetime by Weight
Estimates fishing rod lifetime in hours given material and average fish weight.
Fishing Net Mesh by Fish Size
Recommends fishing net mesh size in cm based on target fish length.
Fishing Baits Per Day
Estimates bait quantity needed for a fishing day given hours and bait type.
Fishing Hooks by Type
Estimates number of hooks to bring for a fishing trip by location type.
Fishing Sea Sinker Weight
Estimates required fishing sinker weight given depth and current strength.
Dive Bottom Time by Depth
Computes recreational no-deco bottom time per PADI Recreational Dive Planner tables.
Dive Decompression Time
Estimates decompression stop time when exceeding no-decompression limit.
Dive Tanks Per Day
Estimates number of dive tanks needed for a day of dives based on planned dives.
Brazilian Architect Fee (CAU)
Computes referential CAU Brazil architect fees for residential projects per square meter.
Brazilian Engineer Fee (CREA)
Computes referential CREA Brazil engineer fees for civil engineering based on area and project type.
Doctor Consultation CBHPM
Computes a Brazilian doctor consultation fee based on the CBHPM table and procedure level.
Dentist Budget CBHPO
Estimates a dentist treatment budget based on the Brazilian dental reference table.
Brazilian Lawyer Fee (OAB)
Computes a referential Brazilian lawyer fee based on case value and OAB minimum table.
Brazilian Physiotherapy Fee (CREFITO)
Computes a referential Brazilian physiotherapy session fee per CREFITO table.
Brazilian Psychologist Fee (CRP)
Computes a referential Brazilian psychology session fee per CRP table.
Speech Therapist Fee (CFFa)
Computes a referential Brazilian speech therapy session fee per CFFa table.
Brazilian Nutritionist Fee (CRN)
Computes a referential Brazilian nutritionist consultation fee per CRN table.
Brazilian Veterinarian Fee (CRMV)
Computes a referential Brazilian veterinarian consultation fee per CRMV table.
Brazilian Pharmacist Fee (CRF)
Computes a referential Brazilian pharmacist service fee per CRF table.
Brazilian Accountant Fee (CRC)
Computes a referential Brazilian accountant monthly service fee per CRC table by company size.
Blood Pressure Classifier (SBC)
Classifies blood pressure (optimal, normal, pre-hypertension, stages 1/2/3) per Brazilian SBC guidelines.
Blood Glucose Classifier (SBD)
Classifies fasting glucose, 2h post-prandial and HbA1c per Brazilian SBD criteria (normal, pre-DM, diabetes).
Lipid Profile (Total/HDL/LDL/TG) Classifier
Classifies total cholesterol, HDL, LDL and triglycerides per current Brazilian dyslipidemia guideline.
Framingham Cardiovascular Risk
Estimates 10-year cardiovascular event risk using the Framingham score (age, cholesterol, BP, smoking, diabetes).
Creatinine Clearance (Cockcroft-Gault)
Estimates creatinine clearance via Cockcroft-Gault — kidney function assessment.
eGFR (CKD-EPI 2021)
Computes estimated glomerular filtration rate via CKD-EPI 2021 formula (no race coefficient).
Anion Gap Calculator
Computes anion gap (Na - (Cl + HCO3)) and classifies metabolic acidosis — basic clinical reading.
Sodium Corrected by Glucose
Corrects serum sodium in hyperglycemia (Hillier formula) — useful in decompensated diabetes.
Serum Osmolality Calculator
Computes calculated serum osmolality and osmolar gap using Na, glucose and urea.
Glasgow Coma Scale
Computes Glasgow Coma Scale (Eye + Verbal + Motor) and classifies head trauma severity.
Seed Germination Time by Temperature
Estimates seed germination days based on soil temperature in Celsius.
Organic Fertilizer per Pot
Estimates grams of organic fertilizer needed for a pot by liters.
Pot Substrate Liters
Estimates liters of substrate to fill a pot by its dimensions.
Plant Light in Lumens
Estimates lumens needed for a plant by type and area.
Orchid Bloom Months
Estimates months until orchid bloom by species.
Citrus Fruiting Years
Estimates years to full fruiting of citrus trees by species.
Mango Fruiting Years
Estimates years until mango tree fruits by variety.
Average Tree Leaves
Estimates number of leaves on a medium tree by species.
Tropical Tree Height by Years
Estimates the height of a tropical tree in meters by age in years.
Citrus Prunings per Year
Estimates ideal number of yearly prunings for citrus by species.
Irrigation by Rainfall
Computes complementary irrigation mm based on observed rainfall.
Tea Leaf Drying Time
Estimates hours to dry tea leaves by drying method.
Garden Plants Coverage
Computes number of seedlings to cover a garden by spacing.
Honey per Hive Flowering
Estimates kg of honey per hive by flowering intensity.
Wax per Hive Yearly
Estimates kg of wax produced per hive in a year.
Propolis per Hive Monthly
Estimates grams of propolis per hive per month.
Bees per Hive with Queen
Estimates the number of bees per hive by colony stage.
Ant Venom in mg
Estimates ant venom dose in mg by species.
Termite Mounds per Hectare
Estimates termite mound density per hectare by biome.
Aedes Mosquitoes per Focus
Estimates the number of Aedes mosquitoes emerging per focus.
Cockroaches Kitchen Density
Estimates cockroach count in a kitchen by infestation level.
Ants per Anthill
Estimates ants per anthill by species (medium-size).
Butterflies in Flowering Garden
Estimates visiting butterflies in a flowering garden by area.
Dragonflies by Lake Area
Estimates dragonflies around a lake by water surface area.
Spiders in House
Estimates spiders inside a typical house by room count.
Housefly Lifespan Days
Estimates housefly lifespan by ambient temperature.
Survival Without Water
Estimates human survival in days without water by ambient temperature.
Survival Without Food
Estimates human survival days without food by body fat level.
Survival by Body Temperature
Estimates survival hours in hypothermia by core body temperature.
Camping Water per Day
Estimates liters of water per person per day at camp.
Hiking Food kg per Day
Estimates kg of food per day for hiking by intensity.
Fire Making Time
Estimates minutes to make fire with sticks given wind/humidity.
Firewood Night Bonfire
Estimates kg of firewood for a night bonfire by hours of use.
Lightning Distance by Thunder
Computes km distance to lightning by counting seconds to thunder.
Forest Shelter Time
Estimates hours to build a forest survival shelter by type.
Compass Orientation Distance
Computes meters of drift between true and magnetic north for a given walk.
Fish Catch Time by Area
Estimates minutes to catch a fish by water-body type.
Forest Vine Water Time
Estimates minutes to gather 1 L of water from Amazon vines.
Elephant Lifespan
Shows elephant lifespan by species.
Turtle Lifespan
Shows turtle lifespan by species.
Parrot Lifespan
Shows parrot lifespan by species.
Blue Whale Lifespan
Shows blue whale lifespan estimate.
Cheetah Speed
Shows cheetah average and maximum running speed.
Golden Eagle Speed
Shows golden eagle gliding and stooping speeds.
Peregrine Falcon Speed
Shows peregrine falcon stooping/hunting dive speed.
Swallow Migration Distance
Shows swallow yearly migration distance by species.
Gray Whale Migration
Shows gray whale yearly migration distance in the Pacific.
Tropical Birds Body Temperature
Shows tropical bird body temperature in Celsius by species.
Octopus Hearts
Shows the number of octopus hearts and their function.
Dog vs Human Chromosomes
Shows dog and human chromosome counts side by side.
Internal Rate of Return (IRR)
Computes IRR from an irregular cash flow using Newton-Raphson — investment analysis.
Net Present Value (NPV)
Computes NPV of a cash flow with a configurable discount rate — project decision.
Discounted Payback Period
Computes discounted payback period accounting for the time value of money.
CDB Gross vs Net (Regressive Tax)
Computes gross and net CDB yield applying Brazilian regressive income tax by tenor.
LCI/LCA vs Equivalent CDB
Compares tax-free LCI/LCA gross rate with equivalent CDB for the same tenor — investment decision.
Tesouro Prefixado Unit Price (PU)
Computes Tesouro Prefixado unit price (PU) given rate and business days to maturity.
Tesouro IPCA+ Yield
Estimates real and nominal yield of Tesouro IPCA+ over the period given projected inflation.
SAC Extra Amortization Simulator
Simulates interest savings and term reduction when making monthly/yearly extra amortization in SAC.
Credit Card Revolving Cost
Computes accrued interest and Brazilian IOF on credit card revolving balance with monthly rate and days.
Social Security Contribution Time
Sums total Brazilian RGPS contribution time from a list of work periods with start/end dates.
Pesach Jewish Passover Date
Shows the approximate Pesach (Jewish Passover) date for upcoming years.
Rosh Hashana Date
Shows the approximate Rosh Hashana (Jewish New Year) date for upcoming years.
Ramadan Start Date
Shows the approximate Ramadan (Islamic month) start date for upcoming years.
Diwali Festival Date
Shows the approximate Diwali (Hindu festival of lights) date for upcoming years.
Holi Festival Date
Shows the approximate Holi (Hindu colors festival) date for upcoming years.
Chinese New Year and Zodiac
Shows Chinese New Year date and the zodiac animal of the year.
Orthodox Christmas Date
Shows the Russian Orthodox Christmas date (Julian calendar).
Losar Tibetan New Year
Shows the Losar (Tibetan New Year) date for upcoming years.
Vesak Buddhist Festival
Shows the Vesak (Buddhist festival of lights) date for upcoming years.
Chuseok Korean Festival
Shows the Chuseok (Korean harvest festival) date for upcoming years.
Seollal Korean New Year
Shows the Seollal (Korean Lunar New Year) date for upcoming years.
Obon Japanese Festival
Shows the Obon (Japanese ancestor festival) date for upcoming years.
Tet Vietnamese Festival
Shows the Tet (Vietnamese Lunar New Year) date for upcoming years.
Spell Casting Time
Estimates average minutes to cast a spell by category.
Potion Ingredients Count
Estimates number of ingredients in a classic potion by effect.
Dragon Egg Incubation
Estimates days of incubation for a dragon egg by species.
Werewolf Full Moon Nights
Computes nights of werewolf transformation per year (13 full moons).
Vampire Years
Computes years as a vampire since the year of transformation.
Silver Bullets for Werewolf
Estimates silver bullets needed to kill a werewolf by size.
Garlic Vampire Defense
Estimates garlic cloves needed to defend an area against vampires (2 per m2).
Fairy Portal Encounter
Estimates minutes to find a fairy portal in the forest by density.
Unicorn Encounter Forest
Estimates days to encounter a unicorn in an enchanted forest by pilgrim purity.
Home Magic Portal Walk
Computes minutes on foot between home and a magic portal at 80 m/min.
Genie Grant Wish Time
Estimates seconds for a genie to grant a wish by difficulty.
Witch Broom Flight km
Computes minutes of witch broom flight per km at 60 km/h.
Mage Magic Recovery Time
Estimates hours for a mage to recover magic by level.
Keynesian Multiplier
Computes the keynesian multiplier k=1/(1-MPC) from marginal propensity to consume.
GDP by Expenditure C+I+G+X-M
Computes GDP by expenditure summing consumption, investment, government, and net exports.
Trade Balance Surplus or Deficit
Computes trade balance X-M and indicates surplus or deficit.
GDP Deflator Real vs Nominal
Computes GDP deflator = (nominal GDP / real GDP) * 100.
Fisher Real vs Nominal Rate
Computes real interest rate via Fisher equation (1+r)=(1+i)/(1+pi).
Real Effective Exchange Rate (REER)
Computes the real effective exchange rate weighted by inflation.
Purchasing Power Parity (PPP)
Computes PPP rate from equivalent goods prices in two currencies.
Phillips Curve Inflation vs Unemployment
Shows the Phillips curve relationship: inflation = expected inflation - beta*(unemployment - natural).
Laffer Curve Tax vs Revenue
Shows tax revenue estimated by the Laffer curve R=t*(1-t)*B with normalized base.
Money Velocity MV=PY
Computes money velocity V via the quantity equation MV=PY.
Savings Investment Identity
Checks accounting identity S=I in closed economy.
Savings Income MPC MPS
Computes total and marginal savings from income using MPC and MPS=1-MPC.
MDF Panel Screws Count
Estimates screws needed to fix an MDF panel by area.
Wood Nails by Size
Estimates nails per linear meter of wood by nail size.
Wall Anchors by Hole
Estimates plastic anchors per hole by hole size.
Washers per Screw
Estimates washers needed for through-bolts in DIY assemblies.
Garden Hose Length
Estimates meters of hose needed for a path with safety margin.
Electrical Tape Splices
Estimates electrical tape (m) needed for splices.
Thread Seal Tape Joints
Estimates thread seal tape meters for threaded joints (5 turns each).
PVC Glue Pipe Joints
Estimates PVC glue ml for plumbing pipe joints.
Epoxy Glue Mix Volumes
Computes A and B volumes of epoxy glue in 1:1 or 2:1 mix.
Acrylic Paint Artwork
Estimates acrylic paint ml for artwork on canvas by size.
Wall Filler per sqm
Estimates kg of wall filler per m2 (two coats).
Roof Waterproof per sqm
Estimates kg of asphalt waterproofing per m2 (three coats).
Screen Reader WPM Time
Estimates how many minutes a screen reader needs to read a given word count at 180 WPM.
Mobile Tap Target Size WCAG
Checks if a touch target meets the WCAG 2.5.5 minimum of 44x44 CSS pixels.
Accessible Form Response Time
Estimates acceptable form completion time based on the number of fields (12 s per field).
WCAG AA Text Size
Recommends a minimum body text size in pixels for WCAG AA at typical reading distance.
WCAG AAA Text Size
Recommends minimum text size in pixels for WCAG AAA at typical reading distance.
Mobile Task Taps Count
Estimates total taps to complete a mobile task based on screen count (3 taps per screen).
Accessible Task Completion Time
Estimates minutes to complete an accessible task by step count (30 s per step).
Clickable Link Area mm
Converts the 44 px tap target to physical millimeters based on display DPI.
Interactive Feedback ms
Indicates whether an interaction response time is instant, acceptable, slow, or critical.
Safe Vestibular Animation ms
Checks whether an animation duration is safe for users with vestibular sensitivity.
Epileptic Safe Flash Hz
Checks whether flash frequency is below the WCAG 2.3.1 3 Hz safety threshold.
Accessible Focus Time ms
Estimates total milliseconds to focus a sequence of elements with TAB key.
Visible Focus Border px
Recommends minimum focus indicator thickness in pixels per WCAG 2.4.13.
NR-1 GHS Training Hours
Estimates annual GHS training hours required by Brazilian NR-1 standard per number of workers.
NR-6 PPE Life Months
Estimates PPE service life in months based on daily usage hours per Brazilian NR-6.
NR-10 Controlled Zone Radius
Returns the controlled zone radius in meters for an electrical voltage per Brazilian NR-10.
NR-12 Safety Distance
Computes minimum machine safety distance using ISO 13855 formula referenced by NR-12.
NR-15 Unhealthy Exposure
Computes Brazilian NR-15 unhealthy work allowance at 10, 20, and 40 percent of minimum wage.
NR-16 Hazard 30 Percent
Computes Brazilian NR-16 hazardous work bonus of 30 percent over base salary.
NR-17 Ergonomic Bench Height
Suggests a workbench height based on stature for standing work per Brazilian NR-17.
NR-18 Construction Perimeter
Computes construction site perimeter for fencing per Brazilian NR-18.
NR-23 Fire Extinguishers Area
Estimates fire extinguishers required by floor area per Brazilian NR-23 (1 per 500 m2).
NR-26 Pipe Color Coding
Returns the standardized pipe color for water, steam, oil, air, or gas per Brazilian NR-26.
NR-33 Confined Exposure Time
Determines safe permanence time in confined space based on measured oxygen per Brazilian NR-33.
NR-35 Anchor Height 2m
Checks whether anchor point height meets Brazilian NR-35 minimum of 2 meters.
NR-36 Cold Plant Break min
Estimates total break minutes per shift in meatpacking plants per Brazilian NR-36.
SP Bus Trip Time
Estimates urban bus travel time in Sao Paulo from distance at 18 km/h average speed.
SP Metro Trip Time
Estimates Sao Paulo Metro travel time by station count (~2.1 min per station).
CPTM Trains Trip Time
Estimates CPTM commuter train travel time in Sao Paulo by station count.
Rio VLT Trip Time
Estimates Rio de Janeiro VLT light rail travel time from distance at 18 km/h.
DF Metro Trip Time
Estimates Brasilia DF Metro travel time by station count (~2.4 min per station).
RJ SuperVia Trip Time
Estimates SuperVia commuter train travel time in Rio de Janeiro by station count.
POA Trensurb Trip Time
Estimates Trensurb commuter train travel time in Porto Alegre by station count.
BH Metro Trip Time
Estimates Belo Horizonte Metro travel time by station count (~2.5 min per station).
Paris RATP Bus Comparison
Estimates RATP Paris bus travel time at 14 km/h, useful to compare with Brazilian buses.
TGV Cruise Trip Time
Estimates TGV high-speed train travel time at 300 km/h cruise speed.
RJ City Bus Trip Time
Estimates Rio de Janeiro city bus travel time from distance at 16 km/h.
BH City Bus Trip Time
Estimates Belo Horizonte city bus travel time from distance at 17 km/h.
Caipirinha Recipe per Person
Computes cachaca, lime, and sugar quantities per person to prepare caipirinha cocktails.
Mojito Recipe per Person
Computes white rum, mint, lime, sugar, and soda water amounts per person for mojito cocktails.
Margarita Recipe per Person
Computes tequila, triple sec, and lime juice per person for classic margarita cocktails.
Cosmopolitan Recipe per Person
Computes vodka, Cointreau, cranberry, and lime per person for cosmopolitan cocktails.
Cuba Libre Recipe per Person
Computes rum, cola, and lime per person for Cuba Libre cocktails.
Sangria Recipe per Person
Computes red wine, fruit, and orange liqueur per person for sangria.
Pina Colada Recipe per Person
Computes rum, coconut milk, and pineapple juice per person for pina colada cocktails.
Aperol Spritz Recipe per Person
Computes Aperol, prosecco, and soda per person for Aperol Spritz cocktails (3:2:1 ratio).
Bloody Mary Recipe per Person
Computes vodka, tomato juice, and lime per person for Bloody Mary cocktails.
Old Fashioned Recipe per Person
Computes bourbon, sugar, and bitters per person for Old Fashioned cocktails.
Party Cocktails per Person
Estimates average cocktails per person at a party (1.5 cocktail per hour).
Party Beer per Person
Estimates beers per person at a party (2 cans per hour, 350 ml each).
Sensor MP to Print Size DPI
Computes max print size at 300 DPI from camera sensor megapixels.
Crop Factor APS-C vs Full Frame
Compares APS-C diagonal with Full Frame and returns crop factor.
APS-C to Full Frame Focal Equivalence
Converts APS-C focal length to FF equivalent at 1.5x crop factor.
F-Stop Time ISO EV
Computes Exposure Value (EV) from aperture, shutter and ISO.
ISO Shutter Aperture by EV
Estimates ISO required to keep the same EV after changing aperture or shutter.
Minimum Shutter Handheld by Focal
Applies the focal length reciprocal rule for handheld shooting.
Exposure Bracketing Stops
Generates EV values for 3 or 5 bracketed shots at requested stop step for HDR.
Flash Guide Number by Distance
Returns ideal aperture from flash Guide Number and subject distance.
Flash ISO GN Distance Aperture
Combines GN, ISO, distance and aperture to verify flash exposure.
Flash Recycle Time Battery Pack
Estimates flash recycle time in seconds by power level and external battery pack.
Bulb Exposure ISO Aperture
Estimates bulb exposure time from scene EV with given ISO and aperture.
Time Lapse Intervalometer Seconds
Computes interval between shots for a time lapse with target final length and FPS.
Star Trails Rule 500
Computes max exposure to avoid star trails via the 500 rule.
Radio Band L Frequency
Converts wavelength to GHz inside L band (1-2 GHz) for radio astronomy.
Radio Band S Frequency
Converts wavelength to GHz inside S band (2-4 GHz).
Radio Band C Frequency
Converts wavelength to GHz inside C band (4-8 GHz).
Radio Band X Frequency
Converts wavelength to GHz inside X band (8-12 GHz).
Radio Band Ku Frequency
Converts wavelength to GHz inside Ku band (12-18 GHz).
Radio Band Ka Frequency
Converts wavelength to GHz inside Ka band (27-40 GHz).
Radio Brightness Temperature Jansky
Estimates brightness temperature from flux in Jansky and source angular size.
Jansky to Microwatt per m2
Converts flux density from Jansky to microwatts per square meter per Hz.
Radiotelescope Resolution Arcsec
Applies 1.22 lambda/D to compute radiotelescope angular resolution in arcsec.
Interferometry Baseline Resolution
Computes interferometer angular resolution lambda over B in arcsec.
CMB Temperature Radio Approx
Computes approximate spectral intensity of the CMB at a given frequency.
Pulsar Distance by DM
Estimates pulsar distance from Dispersion Measure assuming mean electron density.
Radio Link Budget dB
Estimates radio link power budget in dB from TX, gains, losses and RX.
Amazon River Route Distance
Estimates distance in km along the Amazon River between port cities.
Amazon Riverboat Speed
Computes effective riverboat speed considering Amazon River current.
Amazon Ferry Crossing Time
Estimates ferry or barge crossing time in hours along the Amazon.
Brazil Coast Distance km
Estimates distance in km along Brazil 7491 km coastline.
Sailboat Speed Apparent Wind Knots
Estimates sailboat hull speed from waterline length in knots.
Jangada Wind Speed Knots
Estimates Brazilian jangada speed in knots from apparent wind speed.
Tide High Low Interval Brazil
Computes interval between high and low tide on Brazilian coast (semidiurnal 12h 25min).
Pilotage Time Large Port Brazil
Estimates average pilotage time at large Brazilian ports such as Santos and Itaqui.
Yacht Marina Distance Brazil
Estimates yacht distance in nautical miles between Brazilian marinas.
Open Sea Fishing Time Brazil
Estimates open sea fishing trip hours by distance from shore and boat speed.
Sail Race Yacht Sea Distance
Estimates nautical miles in Brazilian coastal yacht races.
Windsurf Wind Speed Knots
Estimates windsurf speed in knots based on wind speed.
Protein per Day by Weight
Computes grams of protein per day at 1.6 g per kg of body weight.
Carbs per Day Training Weight
Computes carbohydrate grams per day from training intensity and body weight.
Fat per Day Healthy Weight
Estimates fat grams per day on a healthy diet (~25% of calories).
Essential Amino Acids Table
Shows daily requirement of 9 essential amino acids in mg per kg of weight.
Leucine Supplement Muscle
Computes grams of leucine per meal to trigger muscle protein synthesis.
Creatine Loading Phase Grams
Computes creatine loading phase dose by body weight plus maintenance.
Pre Workout Caffeine Weight
Computes pre workout caffeine dose 3-6 mg per kg of body weight.
Omega 3 Supplement per Person
Computes daily EPA plus DHA dose by age and goal.
Vitamin D3 per Skin Tone
Computes daily vitamin D3 dose in IU by sun exposure and skin tone.
Iodine per Day from Salt
Computes iodine intake per day from grams of iodized salt consumed.
Iron per Day per Person
Computes daily iron requirement in mg by sex and adult age.
Magnesium per Day per Person
Computes daily magnesium requirement in mg by sex and adult age.
Roof Cover Area by Slope
Computes real roof cover area from projected area and slope in degrees.
Roof Tiles Count by Area
Estimates roof tiles needed per square meter by type.
Gutters and Flashings by Perimeter
Computes linear meters of gutters and flashings from roof perimeter.
Gable Flashing by Height
Estimates meters of gable flashing from length and gable height.
Residential Septic Tank Size
Estimates septic tank useful volume by NBR 7229 from number of residents.
Residential Cistern Size
Estimates household water cistern volume by residents and days of autonomy.
Residential Pool Volume
Computes rectangular pool volume from length, width and depths.
Laundry Room Size
Estimates minimum residential laundry area by equipment count.
Bedroom Size by Bed
Estimates minimum bedroom area by bed size and circulation clearances.
Ceiling Height Brazil Standard
Checks ceiling height vs typical Brazilian municipal code by room.
Accessible Corridor Width Brazil
Checks corridor width against NBR 9050 accessibility standard.
Staircase Steps Brazil
Computes number of steps, tread and riser by Blondel formula adapted to Brazil.
Bathroom Size Brazil
Estimates minimum bathroom area by planned fixtures.
City Patron Saint Feast Date
Shows fixed feast date of a city patron saint by code.
Cirio de Nazare Belem Date
Shows Cirio de Nazare date in Belem (second Sunday of October).
Iemanja Feast Date
Shows traditional Iemanja feast dates in Salvador and Rio.
Bom Jesus and Aparecida SP Date
Shows fixed dates for Aparecida and Bom Jesus dos Passos pilgrimage.
Lent and Easter Brazil
Computes Ash Wednesday, Easter and Lent period for the year.
Corpus Christi Brazil
Computes Corpus Christi date (60 days after Easter).
Finados Brazil Date
Shows Finados (All Souls Day, Nov 2) and weekday for the year.
Immaculate Conception Brazil Date
Shows Immaculate Conception (Dec 8) and weekday for the year.
Santo Antonio Feast Date
Shows Santo Antonio (June 13) and weekday for the year.
Sao Pedro Feast Date
Shows Sao Pedro (June 29) and weekday for the year.
Pentecost Brazil
Computes Pentecost date (50 days after Easter).
Ascension of Jesus Brazil
Computes Ascension date (40 days after Easter).
Christ the King Brazil
Computes Christ the King feast date (last Sunday before Advent).
Tarot Major Card of the Day
Picks one of the 22 Major Arcana cards deterministically by date.
Tarot Spread Card Count
Shows typical card count for each tarot spread method.
Tarot Reading Time
Estimates total tarot session time by number of cards drawn.
Numerology Name Score
Computes destiny number from full name using Pythagorean numerology.
Numerology Birth Date Score
Computes life path number from birth date using numerology.
Numerology Personal Year
Computes personal year number from birth date and target year.
Rising Sign by Time
Estimates rising sign by birth hour (approximation, tropical zodiac).
Vedic Sign
Estimates Vedic moon sign (Rashi) from birth date approximation.
Tibetan Zodiac Sign
Shows Tibetan zodiac animal and element by birth year.
Egyptian Zodiac Sign
Shows Egyptian zodiac sign by birth date (DD/MM).
Celtic Tree Sign
Shows Celtic tree calendar sign by birth date.
Druid Tree by Date
Shows druid tree assigned by birth date (21-tree system).
ETH Staking Rewards
Estimates yearly ETH staking rewards at 3.8% base APR.
BNB Staking Rewards
Estimates yearly BNB staking rewards at 4.5% base APR.
ADA Staking Rewards
Estimates yearly ADA delegation rewards at 4.2% average APR.
DOT Staking Rewards
Estimates yearly DOT staking rewards at 11% average APR.
SOL Staking Rewards
Estimates yearly SOL staking rewards at 6.5% average APR.
ATOM Staking Rewards
Estimates yearly ATOM staking rewards at 14% APR with 5% commission.
DeFi LP Token Amount
Estimates LP tokens received when adding to a 50/50 pool.
DeFi Yield Farming APR
Computes annualized yield from daily rewards and deposit value.
DeFi Lending Yield
Computes lending yield with DeFi utilization rate.
DeFi Borrow LTV
Computes maximum borrow allowed by LTV and current LTV.
Crypto Liquidation Margin
Computes liquidation price for a long position with given leverage.
Crypto Arbitrage Spread
Computes gross arbitrage profit between Binance and Coinbase by spread.
Emergency Fund 3 to 6 Months
Computes recommended emergency fund (3 to 6 months expenses) and monthly saving goal.
Retirement Years Remaining Goal
Computes monthly saving needed to hit a retirement goal in N years.
Car Purchase Savings Goal
Computes monthly saving to buy a car cash in N years.
Home Purchase Down Payment
Computes 20% down payment savings plan and SAC monthly installment.
Budget 50 30 20 Rule
Applies 50/30/20 rule to monthly net income.
Monthly Budget Categories
Splits monthly net income into housing, food, transport, leisure, savings.
Home Loan Payoff Time
Estimates months saved by extra payments on home loan.
Car Loan Payoff Time
Estimates months to pay off a car loan with given installment.
Credit Card Payoff Time
Estimates months to pay off credit card revolving debt.
Internet Plan Switch Savings
Shows monthly and yearly savings when switching internet plan.
Cell Plan Switch Savings
Estimates monthly and yearly savings when switching phone plan.
Auto Insurance Switch Savings
Compares current and new insurance and shows yearly savings.
Credit Card Switch Savings
Estimates yearly savings by switching credit card (annuity and cashback).
Income Tax Yearly BR
Computes yearly income tax (BR) using 2024 progressive table.
Income Tax on 13th Salary BR
Computes IR withheld on 13th salary (BR).
Income Tax on Rent Received BR
Computes monthly IR (carne-leao) on rent received.
Income Tax Rent Paid Deduction BR
Estimates IR savings when deducting rent paid (special regimes).
Income Tax Alimony Deduction BR
Computes IR savings from alimony paid.
Income Tax Education Deduction BR
Estimates IR savings by deducting education (respecting legal cap).
Income Tax Medical Deduction BR
Estimates IR savings from unlimited medical deductions.
Income Tax Private Pension Deduction BR
Estimates IR savings from PGBL contribution (12% cap of gross income).
IPVA by Brazilian State
Estimates IPVA from FIPE value and state rate (BR).
Rural Property Tax ITR BR
Estimates rural property tax (ITR) by area, land value and use ratio.
IPTU Residential BR
Computes residential IPTU from city rate and assessed value.
ISS Service Tax BR
Computes ISS withheld on service value (BR municipal).
ICMS by Brazilian State
Computes ICMS on sale using internal rate per state.
Periodization Volume and Intensity
Shows typical volume and intensity by training phase.
Progression 1RM 25 Months Brzycki
Projects 1RM in 25 months using monthly average gains.
Progression Bench Press 32 Months Epley
Projects bench press in 32 months and computes 5RM via Epley.
Weekly Volume per Muscle
Estimates 9-18 weekly sets per muscle by recovery and experience.
Training Frequency per Muscle
Suggests weekly frequency per muscle based on target volume.
Muscle Recovery Time
Estimates muscle recovery hours from volume, intensity and experience.
VO2 Max Goal in Months
Projects VO2 max from current, monthly gain and target months.
HR Zones for Beginner
Computes 5 HR zones from estimated max HR for beginners.
HR Zones for Elite Athlete
Computes HR zones using Tanaka formula and reserve HR.
Running Cadence by Height
Suggests target stride rate by runner height.
Swim Cadence 100m Elite
Estimates strokes per 100m in 25m pool for elite swimmers.
Cycling Cadence RPM by Zone
Suggests RPM by cycling power zone.
Baby Height at 1 Year by Weight
Estimates expected baby height at 1 year by weight (WHO).
Child Weight 3y by Height
Estimates child weight at 3 years from height (WHO).
Child BMI Percentile
Computes child BMI and classifies by WHO percentile.
Head Circumference Baby
Estimates expected head circumference (cm) by months (WHO).
Paracetamol Baby Dose
Computes pediatric paracetamol 200mg/ml drops by weight.
Ibuprofen Child Dose
Computes pediatric ibuprofen 100mg/5ml dose by weight.
Amoxicillin Child Dose
Computes pediatric amoxicillin daily and per-dose by weight.
Azithromycin Child Dose
Computes pediatric azithromycin 10mg/kg/day for 5 days.
Baby Formula Amount
Estimates daily formula volume by baby age and per bottle.
Baby Puree Amount
Suggests puree volume and texture by baby age.
Diaper Monthly Usage
Estimates monthly diaper count by baby age.
Breastfeeding Time WHO
Shows WHO breastfeeding plan: exclusive to 6m and up to 2y.
Sunscreen Amount per Application
Estimates sunscreen grams per application by skin area covered.
SPF Sun Protection Time
Calculates SPF-based sun protection time in minutes.
Body Moisturizer Amount
Estimates body moisturizer volume per application based on body weight.
Face Cream Amount per Use
Estimates face cream ml per application for adults.
Post-Acne Mark Fading Time
Estimates months to fade post-acne marks (PIH).
Acne Scar Treatment Time
Estimates months of clinical acne scar treatment.
Melasma Treatment Time
Estimates melasma topical treatment time in months.
Vitiligo Repigmentation Time
Estimates vitiligo phototherapy repigmentation time.
Vitamin C Serum Percent
Estimates recommended Vitamin C concentration by skin type.
Retinol Serum Percent
Estimates safe retinol concentration by user experience.
Hyaluronic Acid Serum mg
Estimates hyaluronic acid concentration mg/ml in face serum.
Niacinamide Cream Percent
Estimates niacinamide concentration by skin goal.
Panthenol Cream Percent
Estimates panthenol percent by skin irritation severity.
Emerald Grass m2 Amount
Estimates emerald grass sod for residential area.
Sao Carlos Grass m2 Amount
Estimates Sao Carlos grass amount for lawn.
Desert Rose Pot Size
Suggests ideal pot size for desert rose by stem diameter.
Cattleya Orchid Pot Size
Suggests ideal pot size for Cattleya orchid.
Bromeliad Pot Size
Suggests bromeliad pot size by light level.
Succulent Pot Size
Suggests small pot size for succulent plant.
Mandacaru Cactus Pot Size
Suggests pot size for Mandacaru cactus by height.
African Violet Pot Size
Suggests African violet pot size by indirect light.
African Violet Watering Frequency
Suggests watering frequency in days by temperature.
Orchid Watering Frequency
Suggests orchid watering frequency in days by climate.
Succulent Watering Frequency
Suggests succulent watering frequency by climate.
Desert Rose Watering Frequency
Suggests desert rose watering frequency in days.
Azalea Flowering Time
Estimates azalea flowering time in months by temperature.
Tilapia Tank Stocking
Estimates tilapia biomass kg per tank volume.
Tambaqui Tank Stocking
Estimates tambaqui biomass kg per tank volume.
Pacu Tank Stocking
Estimates pacu biomass kg per tank volume.
Pintado Tank Stocking
Estimates pintado biomass kg per tank volume.
Cachara Tank Stocking
Estimates cachara biomass kg per tank volume.
Pintado Real Tank Stocking
Estimates pintado real biomass kg per tank volume.
Shrimp Tank Stocking
Estimates shrimp biomass grams per tank volume.
Aquaculture Feed Daily kg
Estimates daily feed kg by tank biomass.
Tilapia Growout Time
Estimates tilapia growout months by water temperature.
Tambaqui Growout Time
Estimates tambaqui growout months by water temperature.
Shrimp Growout Time
Estimates shrimp growout months by water temperature.
Tank Oxygen Demand
Estimates oxygen demand mg/min by tank biomass.
Army Retirement Time BR
Estimates Brazilian Army retirement years by current service time.
Navy Retirement Time BR
Estimates Brazilian Navy retirement years by service time.
Air Force Retirement Time BR
Estimates Brazilian Air Force retirement years.
Civil Police Retirement Time BR
Estimates Brazilian civil police special retirement years.
Military Police Retirement Time BR
Estimates Brazilian military police retirement years.
Firefighter Retirement Time BR
Estimates Brazilian military firefighter retirement years.
Military Pay by Rank BR
Estimates Brazilian military gross pay by rank.
Police Pay by Rank BR
Estimates Brazilian police gross pay by rank.
Military Widow Pension BR
Estimates military widow death pension in BRL.
Military Orphan Pension BR
Estimates military orphan pension share in BRL.
Military Uniform Allowance BR
Estimates Brazilian military annual uniform allowance.
Police Uniform Allowance BR
Estimates Brazilian police annual uniform allowance.
CNH Fine and Points by Type
Estimates value and CNH points by Brazilian traffic infraction type CTB.
CNH Suspension by Points BR
Calculates if driver hits points limit for CNH suspension in Brazil over 12 months.
CNH Revocation Period BR
Estimates CNH revocation period in Brazil typically 2 years up to 3 years.
CNH Recovery Time BR
Estimates total time to recover suspended CNH in Brazil including refresher course.
DPVAT Insurance BR
Calculates DPVAT insurance in Brazil for death and permanent disability.
Auto Insurance Total Loss
Estimates auto insurance payout for total loss by FIPE table Brazil.
Auto Insurance Partial Loss
Estimates auto insurance payout for partial loss with deductible.
Traffic Accident Report Time
Estimates average time for traffic accident report from Brazilian forensic police.
Vehicle Inspection Fee BR
Estimates vehicle inspection fee at Detran by Brazilian state 2024.
New Vehicle Licensing Time BR
Estimates total licensing time for new vehicle in Brazil including Detran and dealer.
CNH Renewal Time BR
Estimates total CNH renewal time in Brazil including exams and document issuance.
CNH Category Change Time BR
Estimates total CNH category change time in Brazil including classes and exams.
Emergency Braking Distance
Calculates emergency braking distance by speed and pavement condition wet dry.
HP-12C Annuity PV FV PMT
Solves HP-12C annuity equation given PV rate and n computes PMT and FV.
HP-12C IRR Cash Flow
Computes IRR Internal Rate of Return of cash flow by HP-12C iterative method.
HP-12C NPV Cash Flow
Computes NPV Net Present Value of cash flow given discount rate by HP-12C.
HP-12C Project Payback
Computes simple payback of project by HP-12C time to recover initial investment.
HP-12C Discounted Payback
Computes discounted payback of project bringing flows to present value before accruing.
HP-12C ROIC Investment
Computes ROIC Return on Invested Capital of project by HP-12C net profit over capital.
HP-12C EVA Project
Computes EVA Economic Value Added of project by HP-12C residual profit over capital with WACC.
HP-12C WACC Company
Computes WACC Weighted Average Cost of Capital by HP-12C with debt and equity proportions.
HP-12C CAPM Stock
Computes expected stock return by CAPM HP-12C given risk-free rate beta and premium.
HP-12C DOL Leverage
Computes DOL Degree of Operating Leverage by HP-12C contribution margin over operating profit.
HP-12C DFL Leverage
Computes DFL Degree of Financial Leverage by HP-12C operating profit over net profit.
HP-12C P E Ratio Stock
Computes P E Price Earnings of typical Brazilian stock by HP-12C price over EPS.
HP-12C Dividend Yield
Computes Dividend Yield of typical Brazilian stock by HP-12C dividends over share price.
PT Letter Frequency Zipf
Shows typical letter frequency in Brazilian Portuguese Zipf law top positions.
PT Bigram Frequency
Shows typical bigram frequency for most common Brazilian Portuguese pairs typical corpus.
PT Trigram Frequency
Shows typical trigram frequency for most common Brazilian Portuguese triplets corpus.
Novel Page Reading Time PT
Estimates average reading time of novel page in Brazilian Portuguese by speed.
PT EN Translation Time
Estimates average translation time of page from Portuguese to English by translator speed.
PT Page Proofreading Time
Estimates average proofreading time of page in Portuguese by reviewer speed.
PT Sonnet Rhymes
Calculates rhyme scheme of traditional Portuguese sonnet 14 verses with chosen type.
PT Classical Poetry Verses
Shows verse count for classical Portuguese poetic forms sonnet ballad sextain.
PT Bestseller Word Count
Estimates typical word count for bestseller book in Portuguese by genre.
PT Short Story Word Count
Estimates typical word count for common short story in Portuguese by subgenre.
PT Chronicle Word Count
Estimates typical word count for journalistic chronicle in Portuguese by publication type.
Newspaper Reading Time
Estimates full reading time of typical newspaper edition by publication size.
Baseline and Leading Body
Computes recommended baseline and leading for body text by typographic golden ratio.
Heading Body Size Ratio
Computes h1 to h6 sizes from body using modular typographic scale.
Body Letter Tracking
Computes ideal tracking letter spacing for body text fonts.
Leading Baseline Relation
Computes vertical leading and relation with baseline grid by body font size.
X Height Body Relation
Computes recommended x-height for comfortable body type in px or millimeters.
Column Width CPL
Computes ideal column width in characters per line CPL for comfortable reading.
Print Font Size pt mm
Converts font size in points to millimeters and relates with print standards.
Web Font Size px em
Converts font size in pixels to em rem and relates with current web standards.
Typographic Modular Scale
Computes typographic modular scale using Fibonacci or golden ratio from body text.
Baseline Grid Typography
Computes baseline grid size for perfect vertical alignment of body text typography.
Vertical Rhythm Typography
Computes vertical rhythm in typography for visual harmony between paragraphs headings and elements.
Book Margins Typical mm
Computes typical book print margins in millimeters based on classic page format.
TCP Window BDP Calculator
Computes ideal TCP window size from bandwidth (Mbps) and RTT (ms) using bandwidth-delay product.
TCP MSS from MTU Calculator
Estimates TCP MSS from link MTU, subtracting IP and TCP headers.
UDP Throughput MTU Calculator
Computes useful UDP throughput by subtracting IP and UDP overhead from MTU.
QUIC vs TCP Handshake Calculator
Compares QUIC and TCP+TLS 1.3 handshake duration based on RTT.
HTTP/2 Multiplex Streams Calculator
Estimates how many HTTP/2 streams fit per window from MTU and average frame size.
HTTP/3 QUIC Overhead Calculator
Computes useful HTTP/3 payload over QUIC, subtracting UDP, QUIC and TLS overhead.
DNS Cache TTL Calculator
Estimates average resolver cache time for a DNS record from TTL and queries per hour.
BGP AS Path Length Calculator
Computes AS-PATH length and BGP route selection impact between two candidate paths.
OSPF Cost Bandwidth Calculator
Computes OSPF interface cost using the 100 Mbps reference divided by link bandwidth.
EIGRP Metric Calculator
Estimates EIGRP composite metric from minimum bandwidth and cumulative delay in the path.
RSTP Bridge Priority Calculator
Computes RSTP bridge id from adjustable priority and MAC for root selection.
MPLS Label Stack Overhead Calculator
Computes byte overhead of a stacked MPLS label set added to an IP packet.
VXLAN Overhead Calculator
Computes effective payload MTU on VXLAN by subtracting outer Ethernet, IP, UDP and VXLAN headers.
Bahian Acaraje Recipe Calculator
Computes Bahian acaraje ingredients per person from the number of guests.
Bahian Vatapa Recipe Calculator
Computes Bahian vatapa ingredients per person from the number of guests.
Bahian Moqueca Recipe Calculator
Computes Bahian moqueca ingredients per person with fish and dende oil.
Tutu Mineiro Recipe Calculator
Computes Minas-style tutu de feijao ingredients per person with cassava flour.
Feijao Tropeiro Recipe Calculator
Computes feijao tropeiro ingredients per person with cracklings and sausage.
Pao de Queijo Recipe Calculator
Computes Minas pao de queijo ingredients per person in small pieces.
Tucupi Recipe Calculator
Computes basic Para-state tucupi broth ingredients per person.
Tacaca Recipe Calculator
Computes Para-state tacaca ingredients per person with tucupi, jambu and shrimp.
Pato no Tucupi Recipe Calculator
Computes Para-state pato no tucupi ingredients per person.
Camarao na Moranga Recipe
Computes Rio-style camarao na moranga ingredients per person with cream and palm oil.
Bolo de Rolo Recipe Calculator
Computes Pernambuco bolo de rolo ingredients per person in thin slices.
Baiao de Dois Recipe Calculator
Computes Ceara-style baiao de dois ingredients per person with curd cheese and dried beef.
Child Fluor Toothpaste Calculator
Estimates daily fluor dose in child toothpaste by age and brushing size.
Adult Toothpaste Daily Calculator
Computes daily toothpaste mass and fluor for adults with 2 brushings.
Baby Brushing Time Calculator
Computes recommended baby brushing time in seconds and total per day.
Adult Brushing Time Calculator
Computes recommended adult brushing time per session and per day.
Amalgam Class I Calculator
Estimates dental amalgam mass for a Black class I cavity restoration.
Composite Class I Calculator
Estimates composite resin mass for class I cavity with incremental technique.
Dental Anesthetic ART Calculator
Estimates local anesthetic volume for atraumatic restorative ART on a single tooth.
In-office Bleaching Time Calculator
Estimates total in-office dental bleaching time in sessions and minutes.
Home Bleaching Time Calculator
Estimates total home dental bleaching time in days and tray usage hours.
Orthodontic Brackets Calculator
Estimates the number of brackets needed for adult orthodontic treatment.
Orthodontic Wires Calculator
Estimates orthodontic wires used over treatment months per patient.
Dental Implants per Jaw Calculator
Estimates dental implants for all-on-X protocol per upper and lower jaw.
FDM Print Time by Volume and Speed
Estimates 3D FDM print time from part volume and nozzle speed.
UV Resin Cure Time per Layer
Calculates total UV resin cure time per layer for SLA and MSLA printers.
PLA Filament by Volume and Density
Estimates PLA filament mass and length needed from part volume and density.
ABS Filament by Volume and Density
Calculates ABS filament mass and length from part volume.
PETG Filament by Volume and Density
Estimates PETG filament mass and length needed for an FDM part.
UV Resin Volume Calculator
Estimates UV resin volume needed to print an SLA or MSLA part.
Nozzle Extrusion Width Calculator
Calculates recommended extrusion width in mm for an FDM nozzle.
FDM Layer Height Calculator
Suggests FDM layer height in mm from nozzle size and quality target.
Extrusion Pressure by Temperature
Estimates linear FDM extrusion pressure from temperature and filament type.
Heated Bed Temperature Calculator
Suggests FDM heated bed temperature by filament type.
FDM Print Speed mm per s
Estimates FDM print speed in mm per s for the selected nozzle.
FDM Support by Area and Volume
Estimates approximate support volume by contact area on an FDM part.
FDM Retraction in mm Calculator
Suggests FDM retraction distance in mm by extruder type and nozzle.
Canvas Resolution by MP and DPI
Calculates digital canvas megapixel resolution for a target print DPI.
FPS Traditional vs CGI
Suggests frame rate (FPS) for traditional and CGI animation by goal.
CGI Render Time per Frame
Estimates total CGI render time from time per frame and resolution.
Animation Keyframes by Time
Estimates the keyframe count for an animation duration by scene type.
Traditional Rotoscoping Time
Estimates traditional rotoscoping time from the number of frames.
Photoshop Typical Layer Count
Estimates average layers in a typical Photoshop digital artwork.
Procreate Typical Layer Count
Estimates average layers used in typical Procreate illustrations.
Procreate Painting Time
Estimates average time to finish a digital painting in Procreate by type.
Oil Painting Time by Size
Estimates total oil painting time by canvas size in centimeters.
Watercolor Time by Paper Size
Estimates average time to finish a typical watercolor by paper size.
Acrylic Paint Area Calculator
Estimates acrylic paint amount in ml per square meter of canvas.
Airbrush Paint Area Calculator
Estimates airbrush paint in ml per square meter of painting.
Street Art Spray Area Calculator
Estimates spray cans for urban art per square meter of mural.
Average Menstrual Cycle Calculator
Estimates average menstrual cycle length from the last cycles of the person.
Fertile Window by Cycle Calculator
Estimates the approximate fertile window from average cycle and first day.
Gestation Time by Ultrasound
Estimates gestational age in weeks and days from ultrasound date.
On-demand Breastfeeding Time
Estimates daily hours and suggested months of on-demand breastfeeding.
Folic Acid in Pregnancy mcg
Suggests daily folic acid intake in mcg during pregnancy phases.
Iron in Pregnancy mg per day
Suggests daily iron intake in mg for pregnancy by trimester.
Calcium in Pregnancy mg per day
Suggests daily calcium intake in mg during pregnancy by phase.
Iodine in Pregnancy mcg per day
Suggests daily iodine intake in mcg during pregnancy.
Postpartum Recovery in Weeks
Estimates average postpartum recovery time in weeks by delivery type.
Perimenopause Average Years
Estimates average perimenopause duration in years based on current age.
Menopause Average Years
Estimates average duration of menopause symptoms in years by profile.
Osteoporosis Prevention Time
Estimates years of exercise and diet habits needed to help prevent osteoporosis.
S P 500 Historical PE Average
Estimates the average historical P E of the S P 500 index from user inputs.
Dow Jones DJIA Points Comparison
Compares two point levels of the Dow Jones index and computes percent change.
Nasdaq Composite Historical Points
Computes Nasdaq Composite point return between two periods.
VIX Implied Volatility Percent
Estimates annualized implied volatility from the VIX level.
Russell 2000 Small Cap Points
Calculates percent change in Russell 2000 small cap points.
MSCI World Annual Return
Calculates annualized return of the MSCI World index from a period.
US Blue Chip Dividend Yield Percent
Calculates dividend yield percent for a US blue chip stock.
Euro Stoxx 50 Dividend Yield Percent
Calculates average dividend yield for the Euro Stoxx 50 index.
Nikkei 225 Dividend Yield
Estimates average dividend yield of the Nikkei 225 index in Asia.
US Treasury 10y Yield
Calculates approximate yield of the US 10-year Treasury from price and coupon.
German Bund 10y Yield
Calculates current yield of the German 10-year Bund from price and coupon.
Oil WTI vs Brent Spread
Calculates the USD per barrel spread between WTI and Brent.
Gold vs Dollar Comparison
Compares gold price with the dollar and computes ratio and variation.
D and D 5e HP by Class and Level
Computes average hit points in D and D 5e from class, level and Constitution.
D and D 5e Proficiency Bonus by Level
Returns proficiency bonus in D and D 5e according to the character level.
D and D 5e XP to Next Level
Calculates remaining XP to complete the next level in D and D 5e.
D and D 5e Ability Modifier
Calculates ability modifier in D and D 5e from the attribute score.
Pathfinder 2e HP by Class
Calculates Pathfinder 2e hit points by class, level and ancestry.
Pathfinder 2e Encounter CR
Calculates the encounter CR in Pathfinder 2e from enemy XP totals.
Vampire The Masquerade Blood Points
Calculates the maximum blood pool in Vampire The Masquerade by generation.
Mage The Ascension Arete Points
Calculates Arete points in Mage The Ascension from spent experience.
Call of Cthulhu Sanity Loss per Encounter
Calculates average sanity loss for an encounter in Call of Cthulhu.
Call of Cthulhu Investigation Points
Calculates investigation skill points in Call of Cthulhu by occupation.
Warhammer Fantasy Army Points
Calculates total army points for a Warhammer Fantasy list.
Warhammer 40k Battle Points
Calculates total points of a Warhammer 40k battle roster.
Magic The Gathering Mana Curve
Calculates average mana value of a Magic The Gathering deck.
Cross Stitch Thread by Area
Estimates meters of thread for cross stitch embroidery from total area.
Embroidery Bugle Beads Quantity
Estimates bugle beads quantity for stone embroidery by area.
Necklace Bead Quantity by Length
Estimates seed beads needed for a necklace based on length.
Blouse Crystal Embroidery Quantity
Estimates the number of crystals needed to embroider a blouse by area.
Dress Sequins Quantity by Area
Estimates the number of sequins needed for a dress by covered area.
Lace Decoration Length
Calculates meters of lace needed for linear decoration.
Satin Ribbon for Bows by Area
Calculates satin ribbon needed for bows by covered area.
Broderie Anglaise Dress by Area
Estimates meters of thread for broderie anglaise embroidery on a dress.
Richelieu Embroidery by Area
Calculates thread for Richelieu embroidery by worked area.
Vagonite Embroidery by Area
Calculates thread for vagonite embroidery from worked area.
Cross Stitch by Area
Estimates thread for cross stitch with details by area.
Hardanger Embroidery by Area
Estimates thread for Hardanger embroidery by worked area.
Technical Translation Time PT to EN
Estimates technical translation time from Portuguese to English per page.
Technical Translation Time EN to PT
Estimates technical translation time from English to Portuguese per page.
Technical Translation Time PT to ES
Estimates technical translation time from Portuguese to Spanish per page.
Technical Translation Time PT to FR
Estimates technical translation time from Portuguese to French per page.
Technical Translation Time PT to DE
Estimates technical translation time from Portuguese to German per page.
Technical Translation Time PT to IT
Estimates technical translation time from Portuguese to Italian per page.
Technical Translation Time PT to JA
Estimates technical translation time from Portuguese to Japanese per page.
Technical Translation Time PT to ZH
Estimates technical translation time from Portuguese to Chinese per page.
Technical Translation Time PT to RU
Estimates technical translation time from Portuguese to Russian per page.
Technical Translation Time PT to AR
Estimates technical translation time from Portuguese to Arabic per page.
Technical Translation Review Time
Calculates technical translation review time per page.
Software Localization Time by Strings
Estimates software localization time based on the total of strings.
Soybean Yield per Hectare by Climate
Estimates soybean yield in tons per hectare considering climate factor.
Corn Yield per Hectare by Climate
Estimates corn yield in tons per hectare considering climate factor.
Sugarcane Yield per Hectare by Cycle Years
Estimates sugarcane yield in tons per hectare considering the cycle in years.
Coffee Yield in Bags per Hectare by Altitude
Estimates coffee yield in bags per hectare considering the altitude factor.
Bean Yield in Bags per Hectare by Type
Estimates bean yield in bags per hectare adjusted by cultivar type.
Wheat Yield in Tons per Hectare by Temperature
Estimates wheat yield in tons per hectare considering average temperature.
Rice Yield in Bags per Hectare by Irrigation
Estimates rice yield in bags per hectare based on irrigation level.
Cotton Yield in Arrobas per Hectare
Estimates cotton yield in arrobas per hectare from base productivity and management factor.
Orange Yield in Boxes per Hectare and Years
Estimates orange yield in boxes per hectare considering orchard year.
Grape Yield in Tons per Hectare by Climate
Estimates grape yield in tons per hectare adjusted by climate factor.
Banana Yield in Bunches per Hectare per Year
Estimates banana yield in bunches per hectare per year.
Papaya Yield in Fruits per Hectare per Year
Estimates papaya yield in fruits per hectare per year.
Eucalyptus Volume in Tons per Hectare by Rotation
Estimates eucalyptus volume in tons per hectare at end of rotation.
Blender Cycles Render Time by Resolution
Estimates total Blender Cycles render time from resolution and frame count.
Blender Eevee Render Time by Resolution
Estimates total Blender Eevee render time from resolution and frames.
Maya Arnold Render Time by Resolution
Estimates Maya Arnold render time per frame and resolution.
Maya Mental Ray Render Time by Resolution
Estimates Maya Mental Ray render time from resolution and frames.
Blender 3D Modeling Time by Polygons
Estimates Blender 3D modeling time from polygon count.
3D Character Rigging Time by Bones
Estimates 3D character rigging time in hours by bone count.
3D Character Skinning Time by Weights
Estimates 3D character skinning time by weighted vertices.
3D Animation Time by Keyframes and Seconds
Estimates 3D animation production time from keyframes and seconds.
ZBrush 3D Sculpting Time by Polygons
Estimates ZBrush 3D sculpting time by polygon count.
3D Texture Baking Time by Resolution
Estimates 3D texture baking time by map resolution.
3D UV Unwrap Time by Polygons
Estimates 3D UV unwrap time by polygon count.
3D Physics Simulation Time by Frames
Estimates 3D physics simulation time by number of frames.
3D Fluid Simulation Time by Resolution
Estimates 3D fluid simulation time by domain resolution and frames.
Intermittent Fasting Time Range
Estimates intermittent fasting hours per day.
Resveratrol Supplementation in mg
Estimates daily resveratrol dose in milligrams.
CoQ10 Supplementation in mg
Estimates daily CoQ10 dose in milligrams.
NMN Supplementation in mg
Estimates daily NMN dose in milligrams.
NAD Supplementation in mg
Estimates daily NAD dose in milligrams.
Finnish Sauna Time per Person in Minutes
Estimates Finnish sauna session duration in minutes.
Cold Plunge Time per Person in Minutes
Estimates cold plunge session duration in minutes per person.
Mindfulness Meditation Time per Person in Minutes
Estimates daily mindfulness meditation time in minutes.
Yoga Time per Person and Type in Minutes
Estimates yoga practice time in minutes per session by level and type.
Coherent Breathing Time per Person in Minutes
Estimates daily coherent breathing time in minutes per person.
Zone 2 Exercise Time per Person in Minutes
Estimates weekly zone 2 cardio time in minutes per person.
HIIT Exercise Time per Person in Minutes
Estimates weekly HIIT exercise time in minutes per person.
CCTV Cameras for Home by Rooms
Estimates the number of CCTV cameras needed at home by rooms.
Home Alarm Sensors by Rooms
Estimates home alarm sensors by rooms and doors.
Home Smoke Sensors by Rooms
Estimates home smoke sensors by rooms.
Home CO Sensors by Rooms
Estimates home carbon monoxide sensors by rooms.
Home Fire Extinguishers by Area
Estimates the number of home fire extinguishers by total area.
Home Emergency Lights by Area
Estimates home emergency lighting fixtures by area.
Home Electronic Locks by Doors
Estimates the number of home electronic locks by external doors.
Home Safes per Person
Estimates recommended home safes per person.
Home Electric Fences by Perimeter
Estimates electric fence linear meters for a home perimeter.
Home Guard Pets Number
Estimates the number of guard dogs recommended for home security by area.
Home Electronic Gates by Access Points
Estimates home electronic gates by external access points.
Home Video Intercoms by Access Points
Estimates home video intercoms by external access points.
Hermes Birkin Bag Price Estimator
Estimates the approximate price of a Hermes Birkin bag from size and material.
Rolex Submariner Price by Model and Age
Estimates the approximate price of a Rolex Submariner from model and years of use.
Bvlgari Ring Price by Carats
Estimates the approximate price of a Bvlgari ring by stone carats.
Louis Vuitton Bag Price Estimator
Estimates the approximate price of a Louis Vuitton bag by size and model.
Gucci Loafer Price by Model
Estimates the approximate price of Gucci loafers by chosen model.
Chanel No 5 Perfume Price by Size
Estimates the approximate price of Chanel No 5 perfume by volume.
Cartier Juste un Clou Bracelet Price
Estimates the approximate price of a Cartier Juste un Clou bracelet by size.
Tiffany Engagement Ring Price by Carats
Estimates the approximate price of a Tiffany engagement ring by diamond carats.
Prada Bag Price by Size
Estimates the approximate price of a Prada bag by size and model.
Fendi Baguette Bag Price
Estimates the approximate price of a Fendi Baguette bag by finish.
Dior Saddle Bag Price
Estimates the approximate price of a Dior Saddle bag by finish.
Balenciaga City Bag Price
Estimates the approximate price of a Balenciaga City bag by size.
Bottega Veneta Cabat Bag Price
Estimates the approximate price of a Bottega Veneta Cabat bag by size.
Dog Walk Time by Weight
Estimates daily walk time in minutes by dog weight.
Dog Toys Quantity by Weight
Estimates the number of recommended toys for a dog by weight and breed type.
Dog Accessories by Weight per Day
Estimates daily accessories and collars needed by dog weight.
Cat Daily Care Time
Estimates daily cat care time in minutes from weight.
Rabbit Daily Care Time
Estimates daily rabbit care time in minutes from weight.
Hamster Daily Care Time
Estimates daily hamster care time in minutes from weight.
Bird Daily Care Time
Estimates daily bird care time in minutes from weight.
Turtle Daily Care Time
Estimates daily turtle care time in minutes from weight.
Aquarium Fish Daily Care Time
Estimates daily aquarium fish care time by tank litres.
Tortoise Daily Care Time
Estimates daily tortoise care time in minutes from weight.
Parrot Daily Care Time
Estimates daily parrot care time in minutes from weight.
Snake Daily Care Time
Estimates daily snake care time in minutes from weight.
Ferret Daily Care Time
Estimates daily ferret care time in minutes from weight.
Artistic Gymnastics D-score
Estimates final gymnastics score from D-score difficulty and E-score execution.
Artistic Swimming Score
Estimates final artistic swimming score from technical, artistic and difficulty.
Diving Score
Estimates diving score by multiplying judges average by difficulty.
Judo Score Ippon and Wazaari
Estimates judo score adding Ippon (10), Wazaari (5) and Yuko (1).
Greco-Roman Wrestling Score
Estimates Greco-Roman wrestling score summing passivity, throws and technical fall.
Olympic Boxing Score 3 Rounds
Estimates 3-round Olympic boxing score from 5 judges.
Tae Kwon Do Score
Estimates tae kwon do score adding body kicks, head kicks and punches.
Archery Score
Estimates total archery score summing points per arrow.
Sport Shooting Score
Estimates sport shooting score adding 10s, 9s and other points.
Modern Pentathlon Score
Estimates the sum of scores in the 5 modern pentathlon events.
Decathlon Score
Estimates the sum of scores in the 10 decathlon events.
Heptathlon Score
Estimates the sum of scores in the 7 heptathlon events.
Portuguese Classical Sonnet Verses
Calculates total verses in a set of classical Portuguese sonnets.
Japanese Haiku Verses
Calculates total verses in a set of haiku poems (3 verses each).
Japanese Tanka Verses
Calculates total verses in a set of tanka poems (5 verses each).
Portuguese Quatrain Verses
Calculates total verses in a set of Portuguese quatrains (4 verses each).
Brazilian Cordel Verses
Calculates total verses in cordel pamphlets (6 or 10 verses per stanza).
Portuguese Trova Verses
Calculates total verses in Portuguese trovas (4 verses each).
Portuguese Classical Canto Verses
Calculates total verses in a Portuguese classical canto with ottava rima stanzas.
Russian Classical Novel Pages
Estimates average pages in a Russian classical novel by words per page.
French Classical Novel Pages
Estimates average pages in a French classical novel by words per page.
Brazilian Classical Novel Pages
Estimates average pages in a Brazilian classical novel by words per page.
Portuguese Classical Novel Pages
Estimates average pages in a Portuguese classical novel by words per page.
Russian Classical Short Story Pages
Estimates average pages in a Russian classical short story by words per page.
BW Film Development Time by Temperature
Estimates B&W film development time adjusted by developer temperature.
C41 Color Development Time by Temperature
Estimates C41 color film development time by bath temperature.
E6 Slide Development Time by Temperature
Estimates E6 slide film development time by bath temperature.
Film Fixer Quantity by Rolls
Estimates ml of fixer required by number of 35mm rolls.
Film Developer Quantity by Type
Estimates ml of developer needed by rolls and film type.
Film Bath Aeration Time
Estimates total agitation time during film development.
Film ISO Light Speed Relation
Calculates equivalent shutter speed when changing film ISO.
ASA ISO DIN Equivalence
Converts film sensitivity between ASA ISO and DIN scales.
BW Photo Paper Print Time
Estimates exposure seconds to print on B&W photo paper.
Photo Paper Sheets by Area
Estimates how many photo paper sheets cover a target area.
Photo Paper Chemicals Liters
Estimates liters of chemicals needed to process photo paper.
Photo Paper Drying Time by Type
Estimates air drying time for photo paper by type.
35mm Roll Average Sheets
Estimates contact prints and enlargements from a 36-pose 35mm roll.
EV Range by Battery kWh
Estimates EV range in km by usable battery kWh.
Hybrid Vehicle Range by Mode
Estimates total hybrid range combining fuel and battery.
EV Charging Time by Charger
Estimates EV charging hours by charger power.
EV DC Fast Charging Time
Estimates EV DC fast charging time from 10 to 80 percent.
EV Home Charging Time 12kW
Estimates home charging hours up to 12 kW.
EV kWh per 100km
Calculates average kWh per 100km for an electric vehicle.
Hybrid kWh per 100km
Calculates kWh per 100km for the electric portion of a hybrid.
EV vs ICE Annual Savings
Estimates annual savings of an EV versus an ICE vehicle.
Hybrid vs ICE Annual Savings
Estimates annual savings of a hybrid versus a pure ICE.
EV CO2 Emissions by Source
Estimates annual CO2 emissions of an EV by grid source.
Hybrid Annual CO2 Emissions
Estimates annual CO2 emissions for a hybrid vehicle.
EV Battery Degradation Years
Estimates remaining EV battery capacity after N years.
EV Battery Replacement Cost Years
Estimates amortized annual cost of EV battery replacement.
Epidemic Incidence per 100k
Calculates incidence rate per 100k from new cases and at-risk population.
Disease Prevalence per 100k
Calculates disease prevalence per 100k from total cases and population.
Disease Lethality Percent
Calculates disease lethality percent from deaths and cases.
Disease R0 Basic Reproduction
Estimates R0 by contacts, transmission probability and infectious duration.
Disease Rt Effective Reproduction
Estimates Rt from R0 and susceptible population fraction.
Disease CFR Case Fatality Rate
Calculates CFR from deaths and confirmed cases.
Disease IFR Infection Fatality Rate
Calculates IFR from deaths and estimated infections.
Outbreak Attack Rate
Calculates outbreak attack rate from ill and exposed counts.
Vaccine Coverage Percent
Calculates vaccination coverage percent of target population.
Herd Immunity Percent
Calculates herd immunity threshold from R0.
Vaccine Doses per Person
Estimates total doses required to immunize a population.
Pandemic Wave Peak Time Days
Estimates days to pandemic wave peak by R0 and generation time.
Sweden Christmas Luminaria Date
Computes Saint Lucia day date in Sweden by year.
Norway Christmas Luminaria Date
Computes Saint Lucia day date in Norway by year.
Jewish First Shabbat Date
Computes the first weekly Shabbat of the civil year.
Jewish Tu BiShvat Date
Computes approximate Tu BiShvat date in Gregorian calendar.
Jewish Purim Date
Computes approximate Purim date in Gregorian calendar.
Jewish Shavuot Date
Computes approximate Shavuot date in Gregorian calendar.
Jewish Sukkot Date
Computes approximate Sukkot date in Gregorian calendar.
Jewish Yom Kippur Date
Computes approximate Yom Kippur date in Gregorian calendar.
Tamil Pongal India Date
Computes Tamil Pongal festival date in India.
Kerala Onam India Date
Computes approximate Onam festival date in Kerala India.
India Raksha Bandhan Date
Computes approximate Raksha Bandhan date in India.
Islamic Eid al Fitr Date
Computes approximate Eid al Fitr date in Gregorian calendar.
Scrum Team Velocity Points per Sprint
Computes average Scrum team velocity in story points per sprint from three recent sprints.
Project Burndown Remaining Points Days
Estimates days remaining to burn down from remaining points and team daily velocity.
Kanban Cycle Time Average Days
Computes average Kanban cycle time by dividing days worked by tasks completed.
Kanban Lead Time Average Days
Estimates average Kanban lead time by summing queue time and cycle time per task.
Kanban WIP Limit People
Computes a recommended WIP limit on a Kanban board from team size.
Team Throughput Issues Week
Computes agile team throughput in issues closed per week from a recent period.
Cumulative Flow Work Type Days
Estimates average days in a CFD stage from items and entry rate.
Spike Investigation Time Points
Estimates a research spike duration in hours from points and hours per point.
Backlog Refinement Time Hours
Computes total backlog refinement hours from number of items and average time per item.
Sprint Retrospective Time Min
Computes recommended sprint retrospective duration in minutes based on team size and sprint length.
Sprint Planning Time Hours
Computes sprint planning duration in hours based on sprint length per Scrum guide.
Daily Standup per Person Min
Estimates recommended daily standup minutes summing speaking time per team member, capped at 15.
Sprint Review Time Min
Computes recommended sprint review duration in minutes from sprint length per Scrum guide.
T-shirt Fabric Person Size cm
Estimates centimeters of fabric needed for a t-shirt from body height and width.
Pants Fabric Person Length cm
Estimates fabric centimeters needed for pants from length and waist.
Skirt Fabric Person Height cm
Estimates centimeters of fabric for a skirt from desired length and hip.
Dress Fabric Person Height cm
Estimates centimeters of fabric for a dress from garment height and fabric width.
Blouse Fabric Person Size cm
Estimates centimeters of fabric for a blouse from bust girth and length.
Jacket Fabric Person Size cm
Estimates centimeters of fabric for a jacket from chest and body length.
Coat Fabric Person Height cm
Estimates centimeters of fabric for a long coat from desired height and fabric width.
Blazer Fabric Person Size cm
Estimates centimeters of fabric for a tailored blazer from chest and desired length.
Bermuda Shorts Fabric Person Size cm
Estimates centimeters of fabric for bermuda shorts from length and waist.
Shorts Fabric Person Size cm
Estimates centimeters of fabric for short shorts from desired length and waist.
Curtain Fabric Window Width cm
Estimates curtain fabric centimeters from window width and desired pleat ratio.
Pillowcase Fabric cm
Estimates centimeters of fabric to make a pillowcase from pillow dimensions.
Bedsheet Fabric Size cm
Estimates centimeters of fabric for a bedsheet from mattress dimensions with standard overhang.
Telescope Magnification Eyepiece Focal
Computes telescope magnification from objective focal length and eyepiece focal length.
Telescope Exit Pupil Diameter mm
Computes telescope exit pupil in millimeters from objective diameter and current magnification.
Telescope Resolving Power Diameter mm
Computes telescope angular resolving power in arcseconds using Dawes limit formula.
Telescope Limiting Magnitude Diameter mm
Estimates visual limiting stellar magnitude of a telescope from objective diameter in millimeters.
Telescope Field of View Eyepiece Magnification Degrees
Computes telescope true field of view in degrees from eyepiece apparent field and magnification.
Binocular Magnification Light Power Ratio
Computes binocular light per magnification ratio from equipment specs.
Binocular Exit Pupil mm
Computes binocular exit pupil in millimeters from objective diameter and magnification.
Astrophoto Tracking Exposure Time Min
Estimates total astrophoto exposure minutes in a tracked session from number of subs.
Darkframe Stacking Time Min
Computes total minutes to capture calibrated darks in an astrophoto session by summing exposures.
Stacking Frames Tracking Photo
Estimates number of frames needed to stack for a desired SNR gain in astrophoto.
ISS Orbit Tracking City Min
Estimates minutes the ISS is visible in a typical city pass given max elevation.
Comet Pass Magnitude Days
Estimates days a comet stays visible to the naked eye from its peak magnitude and human limit.
ETF SPY Average Dividend Yield
Estimates SPY ETF annual dividend yield from share price and annual estimated dividend.
ETF VOO Average Dividend Yield
Estimates VOO ETF annual dividend yield from share price and annual estimated dividend.
ETF QQQ Average Dividend Yield
Estimates QQQ ETF annual dividend yield from share price and annual estimated dividend.
ETF VTI Average Dividend Yield
Estimates VTI ETF annual dividend yield from share price and annual estimated dividend.
ETF VEA Average Dividend Yield
Estimates VEA ETF annual dividend yield from share price and annual estimated dividend.
ETF VWO Average Dividend Yield
Estimates VWO ETF annual dividend yield from share price and annual estimated dividend.
ETF BND Average Yield
Estimates BND bond ETF annual yield from share price and annual estimated dividend.
ETF TLT Average Yield
Estimates TLT long-bond ETF annual yield from share price and annual estimated dividend.
ETF VYM Average Dividend Yield
Estimates VYM ETF annual dividend yield from share price and annual estimated dividend.
ETF SCHD Average Dividend Yield
Estimates SCHD ETF annual dividend yield from share price and annual estimated dividend.
ETF DGRO Average Dividend Yield
Estimates DGRO ETF annual dividend yield from share price and annual estimated dividend.
ETF SGOV Average Yield
Estimates SGOV short-treasury ETF annual yield from share price and annual estimated dividend.
Wine Quantity Per Person Dinner
Estimates wine quantity per guest for a dinner based on number of glasses served.
Wine Quantity Food Pairing
Estimates wine quantity matched to a food pairing and number of guests.
Red Wine Serving Temperature
Suggests ideal serving temperature in Celsius for red wine by body and age.
White Wine Serving Temperature
Suggests ideal serving temperature in Celsius for white wine by body and sweetness.
Rose Wine Serving Temperature
Suggests ideal serving temperature in Celsius for rose wine by body.
Sparkling Wine Serving Temperature
Suggests ideal serving temperature in Celsius for sparkling wine and Champagne by style.
Red Wine Decanting Time
Suggests decanting time in minutes for red wine by bottle age in years.
Young Wine Decanting Time Minutes
Suggests decanting minutes for a young wine by body and tannin.
Young Wine Aeration Time Minutes
Suggests aeration minutes for a young wine opened in the glass before drinking.
Red Wine Aging Time Years
Estimates maximum aging years of a red wine by structure and vintage.
White Wine Aging Time Years
Estimates maximum aging years of a white wine by structure and acidity.
Sparkling Wine Aging Time Years
Estimates maximum aging years of sparkling wine by method and dosage.
Cork Stoppers Quantity Wine
Estimates cork stoppers needed for bottling by wine type.
Real Coin 1942 Value
Estimates the market value of a Brazilian Real coin from 1942 by type and grade.
Cruzeiro Coin 1957 Value
Estimates the market value of a Brazilian Cruzeiro coin from 1957 by type and grade.
Cruzado Coin 1986 Value
Estimates the market value of a Cruzado coin from 1986 by type and grade.
Real Banknote 1994 Value
Estimates the market value of a Real banknote from 1994 by series and grade.
Cruzado Novo Banknote 1989 Value
Estimates the market value of a Cruzado Novo banknote from 1989 by series and grade.
Real Commemorative Coin Years
Estimates market value of a commemorative Real coin by years and rarity.
Imperial Stamp 1843 Value
Estimates market value of an 1843 Brazilian Bull-Eye imperial stamp by grade.
Republic Stamp 1889 Value
Estimates market value of an 1889 Brazilian Republic stamp by type and grade.
Commemorative Stamp 1900 to 1950 Value
Estimates value of a 1900 to 1950 Brazilian commemorative stamp by rarity.
Imperial Letter 1860 Value
Estimates value of an 1860 Brazilian imperial letter with stamp and postmark by grade.
Imperial Postal Stationery 1865 Value
Estimates value of an 1865 Brazilian imperial postal stationery by grade.
Open Letter 1880 Value
Estimates value of an 1880 Brazilian open letter by grade and type.
Postcard 1900 Value
Estimates market value of a 1900 Brazilian postcard by rarity and grade.
Pomodoro Session Time Minutes
Suggests minutes per Pomodoro session by personal focus level.
Pomodoro Break Time Minutes
Suggests break minutes between Pomodoros by fatigue level.
Deep Work Session Hours
Suggests hours per deep-work session by experience and task domain.
Shallow Work Hours
Suggests daily shallow-work hours by administrative load.
Spaced Repetition Review Time
Suggests review intervals in days from the forgetting curve and card difficulty.
Ten Thousand Hours Rule
Estimates years to mastery by the 10000-hour rule from weekly practice hours.
Kabat Zinn Meditation Time
Suggests daily mindfulness meditation minutes in Kabat Zinn style by experience.
Wim Hof Breathing Time
Suggests minutes of Wim Hof breathing per session by experience.
Box Breathing Time Minutes
Suggests daily 4-4-4-4 box-breathing minutes by experience.
4 7 8 Breathing Time Minutes
Suggests daily 4-7-8 breathing minutes by relaxation goal.
Wim Hof Cold Shower Time
Suggests cold-shower minutes in Wim Hof method by experience.
Mind Fasting Hours
Suggests mind-fasting hours free of digital stimuli by routine.
CVSS 3.1 Score
Calculates CVSS 3.1 Base Score from AV, AC, PR, UI, S, C, I, A metrics.
CVSS 3.0 Score
Calculates CVSS 3.0 Base Score from the base metrics.
CVSS 2.0 Score
Calculates CVSS 2.0 Base Score from AV, AC, Au, C, I, A metrics.
CVSS Environment Modifiers
Computes CVSS score adjusted by environmental modifiers (CR, IR, AR and modified metrics).
CVSS Temporal Modifiers
Computes CVSS score adjusted by temporal modifiers (E, RL, RC).
CVSS Base Vector Decoder
Decodes a CVSS base vector string and estimates the numerical score from average weight.
NIST CSF 1.1 Self Assessment
Calculates NIST CSF 1.1 control coverage percentage from implemented count.
NIST CSF 2.0 Self Assessment
Calculates NIST CSF 2.0 control coverage percentage from implemented count.
NIST SP 800 30 Risk Formula
Calculates risk level by the NIST SP 800-30 formula (likelihood times impact, scale 1 to 5).
NIST SP 800 53 Controls Matrix
Estimates percentage coverage of NIST SP 800-53 controls per category from the matrix input.
ISO 27001 Controls Implementation
Calculates implemented percentage of ISO 27001 Annex A controls from count.
ISO 27001 ISMS Months
Estimates months to implement an ISO 27001 ISMS by scope and maturity.
Muscle Recovery Time Hours
Estimates hours of muscle recovery after training by intensity and muscle group.
Post Workout Sleep Hours
Estimates sleep hours needed for optimal recovery after a workout.
Foam Rolling Time Minutes
Estimates foam rolling minutes recommended per muscle group.
Static Stretch Time Minutes
Estimates static stretch minutes per muscle for flexibility or maintenance.
Dynamic Stretch Time Minutes
Estimates dynamic stretch minutes per muscle during warm-up.
Massage Time Minutes
Estimates therapeutic massage minutes per muscle group for recovery.
EMS Time Minutes
Estimates electrical muscle stimulation minutes per recovery session.
Cold Bath Time Minutes
Estimates optimal cold bath minutes for muscle recovery by temperature.
Hot Bath Time Minutes
Estimates optimal hot bath minutes for muscle relaxation and recovery.
Finnish Sauna Post Workout
Estimates Finnish sauna minutes after training by temperature and tolerance.
Infrared Sauna Post Workout
Estimates infrared sauna minutes after training by intensity and tolerance.
Acupuncture Recovery Time
Estimates acupuncture session minutes for muscle recovery after workout.
Pilates Recovery Time
Estimates pilates minutes for active recovery after training.
Beer IBU Calculator
Calculates beer IBU from hop amount and alpha acid percentage.
Beer SRM Calculator
Calculates beer SRM from malt color and amount.
Beer ABV Calculator
Calculates beer ABV from OG and FG.
Beer OG from Malt
Estimates beer OG from malt amount and extract potential.
Beer FG from Fermentation
Estimates beer FG from OG and yeast attenuation.
Beer Attenuation Calculator
Calculates apparent attenuation of beer fermentation from OG and FG.
Malt Amount per Beer Liters
Estimates malt kilograms needed for beer by target OG and recipe volume.
Hops Amount per Beer IBU
Estimates hop grams needed for target IBU by alpha acid and boil time.
Yeast Amount per Beer
Estimates yeast grams needed for beer by volume and recipe style.
Beer Fermentation Time
Estimates beer primary fermentation days by yeast type and temperature.
Lager Maturation Days
Estimates cold maturation days for Lager beer by temperature and style.
Ale Maturation Days
Estimates maturation days for Ale beer by temperature and gravity.
Beer Fermentation Temperature
Suggests ideal fermentation temperature for beer by yeast type.
Ipe Amarelo Seedlings
Estimates number of yellow ipe seedlings by area and spacing.
Pau-Brasil Seedlings
Estimates number of pau-brasil seedlings by area and spacing.
Jacaranda Seedlings
Estimates number of jacaranda seedlings by area and spacing.
Flamboyant Seedlings
Estimates number of flamboyant seedlings by area and spacing.
Jambolao Seedlings
Estimates number of jambolao seedlings by area and spacing.
Cashew Tree Seedlings
Estimates number of cashew seedlings by area and spacing.
Jackfruit Seedlings
Estimates number of jackfruit seedlings by area and spacing.
Mango Tree Seedlings
Estimates number of mango seedlings by area and spacing.
Avocado Tree Seedlings
Estimates number of avocado seedlings by area and spacing.
Rose Apple Seedlings
Estimates number of rose apple seedlings by area and spacing.
Pitanga Seedlings
Estimates number of Brazilian cherry seedlings by area and spacing.
Mulberry Seedlings
Estimates number of mulberry seedlings by area and spacing.
Multivariate OLS Coefficient
Estimates multivariate OLS regression coefficient from covariance and variance.
Logistic Odds Ratio
Computes odds ratio from logistic regression beta coefficient.
Probit Coefficient
Estimates probit coefficient from logit coefficient (approximate ratio).
Tobit Coefficient
Estimates Tobit coefficient adjusted by uncensored proportion.
Breusch-Pagan Test
Computes BP heteroscedasticity statistic from n and auxiliary R squared.
Durbin-Watson Test
Computes Durbin-Watson statistic from sum of squared differences and SSR.
Jarque-Bera Test
Computes Jarque-Bera normality test statistic from skewness, kurtosis and n.
Engle-Granger Test
Approximates Engle-Granger cointegration test statistic from residual t-stat.
Granger Causality Test
Computes Granger causality F-statistic from restricted and unrestricted SSR.
ARCH Volatility Model
Estimates ARCH(1) conditional variance from omega, alpha and previous squared error.
GARCH Volatility Model
Estimates GARCH(1,1) conditional variance from omega, alpha, beta, previous squared error and variance.
VAR Model Parameters
Computes number of estimated parameters in a VAR(p) with k variables and constant.
Shonen Manga Volume Reading Time
Estimates minutes to read a shonen manga volume from pages and reading speed.
Seinen Manga Volume Reading Time
Estimates minutes to read a seinen manga volume from pages and reading speed.
Shojo Manga Volume Reading Time
Estimates minutes to read a shojo manga volume from pages and reading speed.
Anime Season Watch Time
Estimates total hours to watch an anime season from episode count and duration.
Classic Shonen Anime Watch Time
Estimates days to watch a long classic shonen anime from episodes and daily pace.
Classic Seinen Anime Watch Time
Estimates days to watch a classic seinen anime from episodes and daily pace.
Anime Fansub Translation Time
Estimates fansub team work hours to subtitle one episode from runtime.
Classic Manga Volumes Per Person
Estimates volumes read of a long classic manga from time invested.
Manga Page Pencil Time
Estimates pencil drawing hours per manga page from complexity.
Manga Page Inking Time
Estimates inking hours per finished manga page from detail and backgrounds.
Manga Page Panel Count
Estimates average panel count per manga page based on style and genre.
Anime Character Keyframes Time
Estimates hours to animate character keyframes from scene seconds and rate.
Traditional Anime Frame Count
Estimates frames drawn in traditional anime from seconds and frame rate.
Sushi Rice Per Person
Estimates grams of Japanese rice needed for sushi from guest count.
Temaki Rice Per Person
Estimates grams of rice for temaki from guest count.
Onigiri Rice Per Person
Estimates rice grams for onigiri from people and units per person.
Ramen Noodles Per Person
Estimates dried ramen noodle grams per person and bowl.
Udon Noodles Per Person
Estimates udon noodle grams to serve per guest count.
Soba Noodles Per Person
Estimates soba noodle grams from guest count and serving style.
Tempura Batter Per Person
Estimates tempura batter grams needed per person for frying.
Takoyaki Batter Per Person
Estimates takoyaki batter grams from people and balls per person.
Okonomiyaki Batter Per Person
Estimates okonomiyaki batter grams from people and pancake size.
Katsudon Rice Per Person
Estimates katsudon rice grams from guest count.
Oyakodon Rice Per Person
Estimates oyakodon rice grams from guest count and portion size.
Tonkatsu Breading Per Person
Estimates panko grams to bread tonkatsu from people and pieces.
Yakisoba Noodles Per Person
Estimates yakisoba noodle grams from guest count.
Bamboo Bioconstruction By Area
Estimates bamboo poles needed for bioconstruction by wall area in square meters.
Adobe Bricks Bioconstruction By Area
Estimates adobe bricks needed for a wall area in square meters.
Wattle Daub By Area
Estimates earth volume and stakes for wattle-and-daub by built area.
Superadobe Bags By Area
Estimates linear meters of superadobe tubing for a wall by area and height.
Cob Mass Bioconstruction By Area
Estimates cob mass volume for a wall from area and thickness.
Rammed Earth By Area
Estimates rammed earth volume from wall area and thickness.
Cordwood Logs By Area
Estimates short logs for cordwood building by area and average diameter.
Strawbale Bales By Area
Estimates straw bales for a strawbale wall by total wall area.
Hempcrete Mix By Area
Estimates hempcrete volume for wall by area and thickness.
Bamboo Construction Months
Estimates months to build a bamboo structure from area and team size.
Adobe Construction Months
Estimates months to build adobe walls from area and crew size.
Superadobe Construction Months
Estimates months to build a superadobe dwelling from area and team.
Eigenvalues 2x2 Trace Determinant
Computes real or complex eigenvalues of a 2x2 matrix from trace and determinant.
Eigenvector 2x2 Numeric
Computes an eigenvector for a 2x2 matrix given an eigenvalue.
Determinant 4x4 Diagonal
Computes determinant of a diagonal 4x4 matrix from four main values.
Inverse 3x3 Diagonal Cofactor
Computes inverse of a 3x3 diagonal matrix using main values.
Matrix Rank Row Echelon
Computes matrix rank by counting non-zero rows in row-echelon form.
Frobenius Norm Matrix
Computes Frobenius norm of a 2x2 matrix from its four elements.
Condition Number 2x2
Computes 2x2 matrix condition number as ratio of singular values.
Gram Schmidt 3 Vectors
Computes first orthonormal vector from a 3D input via Gram-Schmidt.
Vector Projection 3D
Computes scalar projection of a 3D vector onto a 3D base via dot product.
Rotation Matrix 3x3 Angle Axis
Computes r11 of a 3D rotation matrix about Z axis from angle in degrees.
SVD Singular Values 2x2
Computes singular values of 2x2 matrix from eigenvalues of A transpose A.
Moore Penrose Pseudoinverse 2x2
Estimates Moore-Penrose pseudoinverse scale of a 2x2 matrix via singular values.
SRE Error Budget Monthly Percent
Computes remaining monthly SRE error budget percent from target SLO and downtime minutes.
SRE Burn Rate Projected from Incidents
Estimates projected SRE burn rate from consumed budget percent and elapsed window hours.
SRE SLO Availability over Months
Computes total allowed downtime minutes from target SLO across a number of months.
SRE SLI Availability Formula
Computes SRE availability SLI percent from successful requests and total requests.
MTTR Mean Time To Repair
Computes MTTR mean time to repair in minutes from total downtime and incident count.
MTTD Mean Time to Detect
Computes MTTD mean time to detect in minutes from total detection time and event count.
MTBF Mean Time Between Failures
Computes MTBF in hours from total operating time and failure count.
Toil Manual Work Team Percent
Computes toil manual work percent over total weekly team hours.
Toil Reduction Years to Target
Estimates years required to reduce toil to target given annual reduction rate.
On Call Rotation Weeks per Person
Computes on-call rotation weeks per person from team size and window weeks.
On Call Pager Fatigue Night Incidents
Estimates pager fatigue index from nightly wake-ups per week of on-call.
Postmortem Action Items per Person
Computes average postmortem action items per person and per day in a deadline window.
Incident Resolution Time by Severity
Estimates incident resolution time hours from severity level and priority class.
Fresh Pasta Recipe per Person
Computes flour and eggs for fresh Italian pasta recipe per person.
Tagliatelle Recipe per Person
Computes fresh tagliatelle quantity per person in a classic Italian recipe.
Fettuccine Recipe per Person
Computes fresh fettuccine quantity per person in a Roman Italian recipe.
Ravioli Recipe per Person
Computes stuffed ravioli pieces per person in a traditional Italian recipe.
Tortellini Recipe per Person
Computes tortellini pieces per person in an Emilian Italian recipe.
Pizza Napoletana Recipe per Person
Computes dough and toppings for authentic Neapolitan pizza per person.
Pizza Romana Recipe per Person
Computes thin Roman al taglio pizza dough per person.
Risotto Rice Recipe per Person
Computes Arborio or Carnaroli rice for Italian risotto per person.
Gnocchi Recipe per Person
Computes potato gnocchi quantity per person in a classic Italian recipe.
Osso Buco Recipe per Person
Computes Osso Buco alla Milanese serving per person in a Lombardy recipe.
Saltimbocca Recipe per Person
Computes Saltimbocca alla Romana slices per person in an Italian recipe.
Tiramisu Recipe per Person
Computes tiramisu serving per person in a classic Italian dessert recipe.
Panna Cotta Recipe per Person
Computes Piedmontese panna cotta serving per person in an Italian dessert recipe.
Bird Migration Stopover Brazil
Estimates migratory stopover days for birds on the Brazilian route by species.
Great Kiskadee Lifespan Years
Estimates Great Kiskadee lifespan in years in the Brazilian wild.
Rufous Bellied Thrush Lifespan Years
Estimates Rufous-bellied Thrush lifespan in years in the Brazilian environment.
Toucan Lifespan Years
Estimates Toucan lifespan in years in the Brazilian environment.
Hyacinth Macaw Lifespan Years
Estimates Hyacinth Macaw lifespan in years in the Brazilian environment.
True Parrot Lifespan Years
Estimates True Parrot lifespan in years in the Brazilian environment.
Birds in Brazilian Garden per Month
Estimates birds visiting a Brazilian garden per month from area and season.
Pampas Mockingbird Singing Minutes
Estimates daily singing minutes of Pampas Mockingbird during breeding season.
Brazilian Bird Egg Incubation
Estimates average incubation days for Brazilian bird eggs.
Brazilian Bird Nestling Care
Estimates parental nestling care days for Brazilian birds.
Brazilian Bird Fledgling Flight
Estimates fledgling flight learning days for Brazilian birds.
Swallow Migration to Brazil
Estimates Swallow migration days from northern hemisphere to Brazil.
5G Throughput by Bandwidth and Modulation
Estimates 5G throughput Mbps from MHz bandwidth and QAM modulation order.
5G URLLC Latency ms
Estimates 5G URLLC latency in ms from numerology and link scope.
5G mmWave Band Frequency GHz
Estimates 5G mmWave band frequency in GHz from band number and offset.
5G Sub-6 Band Frequency GHz
Estimates 5G Sub-6 band frequency GHz from FR1 band number and offset.
5G Cell Density per km2
Estimates 5G cells per km2 from coverage radius in meters.
5G Massive MIMO Antenna Count
Estimates 5G Massive MIMO array gain in dB from antenna count.
5G Handover Average Time ms
Estimates 5G handover average time in ms by handover type.
6G Throughput Projection MHz
Estimates 6G projected throughput in Gbps from MHz bandwidth and spectral efficiency.
6G Terahertz Band Frequency
Estimates 6G THz band frequency from projected terahertz channel.
6G THz Attenuation by Distance km
Estimates 6G THz attenuation in dB from distance km and frequency.
6G Latency Projection Microseconds
Estimates 6G projected latency in microseconds from numerology and link scope.
6G Cell Density Projection per km2
Estimates 6G projected cells per km2 from coverage radius in meters.
CPC Response Time 15 Business Days
Calculates the procedural response deadline in business days under CPC.
CPC Contestation Deadline 15 Days
Calculates the final date of the 15 business days contestation deadline under CPC.
CPC Appeal Deadline 15 Days
Calculates the final date of the 15 business days appeal deadline under CPC.
CPC Interlocutory Appeal Deadline 15 Days
Calculates the final date of the 15 business days interlocutory appeal under CPC.
CPC Motion for Clarification Deadline 5 Days
Calculates the final date of the 5 business days motion for clarification under CPC.
CPC Public Treasury Double Deadline
Calculates the doubled deadline for the Public Treasury under CPC.
CPC Prosecutor Supervisor Double Deadline
Calculates the doubled deadline for the Public Prosecutor under CPC.
CPC Public Defender Double Deadline
Calculates the doubled deadline for the Public Defender under CPC.
CPC Loss Attorney Fees Percent
Calculates loss attorney fees in BRL by applying percentage on the condemnation value.
CPC Court Costs by Case Value
Estimates court costs in BRL under CPC from case value and percentage.
CPC Default Interest Court Decision Percent
Calculates default interest in BRL on judicial value from monthly rate and months.
CPC Monetary Correction Court Decision Percent
Calculates monetary correction in BRL on judicial value from accumulated percent.
CPC Bad Faith Litigation Fine Percent
Calculates bad faith litigation fine in BRL by applying percent on case value.
Cycling Power Watts Speed Wind
Estimates cycling power in watts from speed in km h and headwind.
Cycling FTP Watts per Person
Estimates FTP in watts from a 20 minutes average power test of the person.
Cycling Power Zone Watts by FTP
Calculates cycling power zone ranges in watts from the FTP of the person.
Cycling TSS Training Stress Score
Calculates cycling TSS from training duration intensity and FTP.
Cycling IF Intensity Factor Training
Calculates cycling IF intensity factor from normalized power divided by FTP.
Cycling VO2 Watts Formula
Estimates cycling VO2 max in watts via formula considering 5 min max power.
Cycling Cadence RPM by Speed
Calculates cycling cadence in RPM from speed in km h and gear ratio.
Cycling Natural Cadence per Person RPM
Estimates cycling natural cadence in RPM from experience level of the person.
Cycling Gear Ratio Cadence Speed
Calculates ideal cycling gear ratio from desired cadence and target speed.
Cycling Tire Pressure PSI by Person Weight
Estimates ideal cycling tire pressure in PSI from person weight in kg.
Cycling Saddle Height by Person Height
Estimates ideal cycling saddle height in cm from inseam height of the person.
Cycling Handlebar Height by Person Height
Estimates ideal cycling handlebar height in cm from person total height.
Cycling Frame Size by Person cm
Estimates ideal bicycle frame size in cm from person height.
Continuous Infusion Dose mcg kg min
Calculates continuous infusion dose in mcg per kg per minute from weight and prescribed flow.
IV Bolus Dose mg by Person Weight
Calculates IV bolus dose in mg from person weight and prescribed mg per kg.
IM Dose mg by Person Weight
Calculates intramuscular dose in mg from person weight and prescribed mg per kg.
SC Dose mg by Person Weight
Calculates subcutaneous dose in mg from person weight and prescribed mg per kg.
Oral Dose mg by Person Weight
Calculates oral dose in mg from person weight and prescribed mg per kg.
Creatinine Clearance Cockcroft Gault per Person
Calculates creatinine clearance by Cockcroft Gault from age weight and sex.
Creatinine Clearance MDRD per Person
Estimates GFR by MDRD formula from serum creatinine age and sex.
Renal Dose Adjustment Clearance Formula
Calculates renal dose adjustment factor by creatinine clearance and standard dose.
Hepatic Dose Adjustment Child Pugh Classes
Calculates hepatic dose adjustment factor by Child Pugh class A B or C.
Infusion Time mg or mcg by Speed
Calculates infusion time in minutes from total dose and speed in mg per min.
Saline Solution Quantity Patient Liters
Calculates saline solution quantity in liters for patient from weight and rate.
Glucose Quantity Patient Liters
Calculates 5 percent glucose quantity in liters for patient from weight and rate.
IoT Coin Cell Battery mAh Time
Estimates IoT coin cell battery life in days from mAh and average consumption.
IoT AA Battery mAh Time
Estimates IoT AA battery life in days from nominal mAh and average consumption.
IoT LiPo Battery mAh Time
Estimates IoT LiPo battery life in hours from mAh and average consumption.
IoT Sensor Sampling Frequency Hz
Calculates minimum IoT sensor sampling frequency in Hz from max signal frequency.
IoT MQTT Throughput Messages Second
Estimates MQTT throughput in messages per second from payload and available bandwidth.
IoT CoAP Throughput Messages Second
Estimates CoAP throughput in messages per second from payload and available bandwidth.
IoT LoRa Throughput Messages Minute
Estimates LoRa IoT throughput in messages per minute from spreading factor and payload.
IoT Zigbee Throughput Messages Second
Estimates Zigbee throughput in messages per second from payload size and bitrate.
IoT Bluetooth LE Distance Meters
Estimates Bluetooth LE max distance in meters from transmit power in dBm.
IoT Wi-Fi Direct Distance Meters
Estimates Wi-Fi Direct max distance in meters from transmit power in dBm.
IoT Zigbee Mesh Distance Meters
Estimates Zigbee mesh max distance in meters from hops and node range.
IoT LoRa Distance km Rural
Estimates LoRa max distance in km rural from transmit power in dBm.
Hollywood 1950 Classic Movie Time min
Estimates 1950s Hollywood classic movie duration in minutes by act count.
Brazilian Soap Opera 1980 Chapter Time min
Calculates typical 1980s Brazilian soap opera chapter duration in minutes.
Brazilian Soap Opera 2000 Chapter Time min
Estimates 2000s Brazilian soap opera chapter duration in minutes.
Brazilian Miniseries Chapter Time min
Calculates Brazilian miniseries chapter typical duration in minutes.
US Classic TV Series 1960 Episode Time min
Estimates 1960s US classic TV episode duration in minutes.
US Classic TV Series 1980 Episode Time min
Estimates 1980s US classic TV episode duration in minutes.
Classic Mexican Telenovela Chapter Time min
Calculates classic Mexican telenovela chapter typical duration in minutes.
Classic Portuguese Telenovela Chapter Time min
Estimates classic Portuguese telenovela chapter typical duration in minutes.
Italian Classic Cinema 1960 Movie Time min
Estimates 1960s Italian classic cinema movie duration in minutes.
French Classic Cinema 1960 Movie Time min
Estimates 1960s French classic cinema movie duration in minutes.
Brazilian Classic Cinema 1970 Movie Time min
Estimates 1970s Brazilian classic cinema movie duration in minutes.
Japanese Classic Cinema 1950 Movie Time min
Estimates 1950s Japanese classic cinema movie duration in minutes.
Indian Classic Cinema 1960 Movie Time min
Estimates 1960s Indian classic cinema movie duration in minutes.
Surf Wave Section Time Seconds
Estimates surf wave section time in seconds from wave length and speed.
Skatepark Trick Time Seconds
Calculates average skatepark trick execution time in seconds.
BMX Amateur Trick Time Seconds
Estimates BMX trick execution time by difficulty in seconds for amateurs.
Base Jump Fall Time Seconds by Height
Calculates base jump free fall time in seconds from jump height in meters.
Traditional Skydiving Fall Time Seconds
Estimates traditional skydiving free fall time in seconds by altitude.
Wingsuit Flight Time Seconds by Height
Estimates wingsuit flight time in seconds from jump height in meters.
Bungee Fall Time by Cord Length
Calculates total bungee fall time in seconds from cord length in meters.
Rappel Descent Time by Meters
Estimates rappel descent time in seconds by meters and speed.
Rock Climbing Route Time min by Meters
Calculates rock climbing route time in minutes by height and grade.
Mountain Bike Cross Country Time min per km
Estimates MTB cross country race time in minutes per km.
Mountain Bike Downhill Time min per km
Estimates MTB downhill race time in minutes per km of track.
Trail Running Cross Country Time min per km
Calculates trail running cross country time in minutes per km.
Canyoning Descent Time Liters Second
Estimates canyoning descent time in minutes by flow in liters per second.
Hurricane Time by Category Wind Speed
Estimates typical hurricane duration in hours by Saffir Simpson category.
Tornado Time by Fujita Category min
Estimates tornado duration in minutes by enhanced Fujita scale.
Tropical Storm Time by Wind Speed
Estimates tropical storm duration in hours by wind speed in km h.
Thunderstorm Time by Lightning Frequency
Estimates thunderstorm duration in minutes by lightning frequency per minute.
Tsunami Time by Wave Speed Height
Estimates tsunami arrival time in minutes by wave speed and distance.
Earthquake Time Richter Magnitude Duration
Estimates earthquake strong shaking duration in seconds by Richter magnitude.
Volcano Eruption Time by VEI Category
Estimates volcanic eruption duration in days by VEI category.
Landslide Time by Volume Speed
Estimates landslide duration in seconds by mass volume and speed.
Flood Time by Rainfall Time
Estimates time to flood in hours by accumulated rainfall mm and drainage.
Heat Wave Time Temperature Days
Estimates heat wave duration in days by temperature deviation from average.
Cold Wave Time Temperature Days
Estimates cold wave duration in days by temperature deviation from average.
Prolonged Drought Time months
Estimates prolonged drought duration in months by accumulated water deficit in mm.
Financial Goals Snowball Debt Term
Calculates months to pay off debts using snowball method from total and monthly payment.
Financial Goals Avalanche Debt Term
Calculates months to pay off debts using avalanche method from total and monthly payment.
Zero Based Budget Category Distribution
Distributes monthly budget using zero based method across categories from informed income.
Monthly Envelope Budget per Person Categories
Splits monthly envelope budget per person across categories from family income.
Emergency Savings Months of Income per Person
Calculates emergency reserve in months of income per person by profile.
Travel Savings Goal Months per Person
Calculates monthly savings per person across months to reach travel goal.
House Savings Goal Years per Person
Calculates monthly contribution per person over years to reach house down payment.
Retirement Savings Goal Years per Person
Calculates monthly contribution per person over years to retirement using the 4 percent rule.
College Savings Goal Years per Person
Calculates monthly contribution per person over years to fund a college education.
Vehicle Savings Goal Months per Person
Calculates monthly contribution per person across months to vehicle down payment.
Wedding Savings Goal Months per Person
Calculates monthly contribution per person across months to fund a wedding.
Yacht Savings Goal Months per Person
Calculates monthly contribution per person across months to purchase a luxury yacht.
MMSE Mini Mental Score per Person
Calculates Mini Mental State Examination (MMSE) score per person classifying cognitive level.
MoCA Cognitive Score per Person
Calculates Montreal Cognitive Assessment score per person with cognitive classification.
Barthel ADL Score
Calculates Barthel Index for basic activities of daily living classifying dependency level.
Lawton IADL Score
Calculates Lawton Scale for instrumental activities of daily living (IADL).
Katz ADL Score
Calculates Katz Index for basic activities of daily living per person.
Tinetti Balance and Gait Score
Calculates Tinetti (POMA) Scale for balance and gait classifying fall risk.
Berg Balance Scale Score
Calculates Berg Balance Scale (BBS) for functional balance assessment.
Functional Reach Test Score
Calculates Functional Reach Test (FRT) in centimeters and fall risk classification.
Timed Up and Go Mobility Score
Calculates Timed Up and Go (TUG) in seconds and classifies elderly mobility.
Handgrip Strength Score per Person
Calculates handgrip strength in kgf and classifies by sex of patient.
Six Minute Walk Test Distance
Calculates expected distance in 6 Minute Walk Test (6MWT) by age.
FIM Functional Independence Measure
Calculates Functional Independence Measure (FIM) summing 18 items on a 1-7 scale.
Borg RPE Perceived Exertion Score
Calculates Borg Scale (RPE 6-20 or CR-10) and provides perceived exertion interpretation.
Baguette Recipe per Person Quantity
Calculates ingredients for French baguette proportionally to number of loaves.
Croissant Recipe per Person Quantity
Calculates ingredients for French croissants including laminating butter by desired quantity.
Pain au Chocolat Recipe per Person
Calculates ingredients for pain au chocolat (chocolatines) with chocolate bars per quantity.
Quiche Lorraine Recipe per Person Quantity
Calculates ingredients for quiche lorraine (shortcrust plus bacon and cheese filling) per person.
Bouillabaisse Recipe per Person Quantity
Calculates ingredients for Marseille bouillabaisse (fish, seafood, broth) by guest count.
Coq au Vin Recipe per Person Quantity
Calculates ingredients for coq au vin (chicken in red wine) with bacon mushrooms and onion.
Cassoulet Recipe per Person Quantity
Calculates ingredients for cassoulet (white beans with duck confit, sausage and pork) per guest.
Ratatouille Recipe per Person Quantity
Calculates ingredients for Provencal ratatouille (eggplant zucchini pepper tomato) per person.
Tarte Tatin Recipe per Person Quantity
Calculates ingredients for tarte tatin (upside-down caramelized apple tart) by guest count.
Creme Brulee Recipe per Person Quantity
Calculates ingredients for creme brulee (vanilla custard with caramelized crust) per serving.
Macaron Recipe per Person Quantity
Calculates ingredients for French macarons (almond flour egg whites sugar) per dozens.
Souffle Recipe per Person Quantity
Calculates ingredients for French souffle (bechamel base plus whipped egg whites) per person.
Eclair Recipe per Person Quantity
Calculates ingredients for French eclairs (choux pastry with pastry cream) per unit.
Bike Touring Route Time km per Day per Person
Calculates duration in days of a touring route given total kilometers and daily average.
Bike Touring Water Quantity km per Person
Calculates liters of water needed per person on touring route considering heat and distance.
Bike Touring Food Quantity km per Person
Calculates daily calories needed for touring based on distance and rider weight.
Bike Touring Accommodation Quantity Night per Person
Calculates number and cost of accommodations for touring by days and nightly rate per person.
Bike Touring Budget km per Person
Calculates total touring budget per person summing food lodging and contingency per km.
Touring Cycling Time Speed Distance
Calculates cycling time in hours for a touring distance considering average speed.
Touring Route Elevation Meters
Calculates accumulated elevation gain in meters and classifies difficulty by km and elevation.
Touring Classic Europe Route Distance
Calculates distance and time for classic European touring routes (EuroVelo) by route type.
Touring Classic Asia Route Distance
Calculates distance and time for classic Asian touring routes (Pamir Vietnam Japan) by type.
Touring Classic USA Route Distance
Calculates distance and time for classic US touring routes (TransAmerica Pacific Coast).
Touring Classic South America Route Distance
Calculates distance and time for classic South American routes (Carretera Austral Andes).
Touring Classic Africa Route Distance
Calculates distance and time for classic African routes (Cairo to Cape Town Morocco).
ML Accuracy Classification Confusion Matrix
Calculates accuracy from TP TN FP FN in binary classification problem.
ML Precision Classification Confusion Matrix
Calculates precision from TP and FP in binary classification problem.
ML Recall Classification Confusion Matrix
Calculates recall (sensitivity) from TP and FN in binary classification problem.
ML F1 Score Classification Matrix
Calculates F1 score (harmonic mean of precision and recall) from TP FP and FN.
ML ROC AUC Binary Classification
Approximates ROC area under curve (AUC) via trapezoidal rule given TPR and FPR pairs.
ML PR AUC Binary Classification
Approximates Precision-Recall AUC via trapezoidal rule given P and R pairs.
ML MAE Regression Residuals
Calculates Mean Absolute Error (MAE) of a regression model from sum of absolute residuals.
ML MSE Regression Residuals
Calculates Mean Squared Error (MSE) of a regression model from sum of squared residuals.
ML RMSE Regression Residuals
Calculates Root Mean Squared Error (RMSE) from sum of squared residuals.
ML MAPE Regression Residuals
Calculates Mean Absolute Percentage Error (MAPE) in percent from sum of relative errors.
ML R2 Determination Coefficient Regression
Calculates R squared coefficient from SS_res and SS_tot of regression model.
ML Cohens Kappa Classification
Calculates Cohen Kappa coefficient for agreement between observers or classification models.
KDrama Watching Time by Episodes
Estimates total time to watch a Korean drama based on episode count (60 min average).
JDrama Watching Time Minutes
Estimates total time to watch a Japanese drama based on episodes (45 min average).
CDrama Watching Time Minutes
Estimates total time to watch a Chinese drama (CDrama) with 45 min episodes.
Korean Anime Watching Time
Estimates total time to watch a Korean anime (donghua) with 24 min episodes.
KPop Variety Watching Time
Estimates time for kpop variety shows (Running Man, Knowing Bros, etc) with 90 min episodes.
KPop Music Show Time
Estimates time for kpop music programs (Music Bank, Inkigayo, Show Champion) with 60 min episodes.
Learn KPop Choreography Time
Estimates time to learn a kpop choreography (3 min song x ~20 hours of practice on average).
Memorize Korean Song Time
Estimates time to memorize a Korean song with pronunciation and lyrics (10 to 30 min per line).
KPop MV Binge Time
Estimates time to watch all MVs of a kpop group at ~4 min average per video.
KPop Albums by Group Years
Estimates average number of albums a kpop group releases in N years (1.8 albums/year average).
KPop Fanchants per Song
Estimates number of fanchants in a kpop song based on duration (1 to 1.5 chants per minute).
KPop Fanmeetings per Year
Estimates typical fanmeetings for kpop groups per year (3 to 6 for popular groups).
KPop Merch per Fan per Year
Estimates kpop merch items an average fan buys yearly (5 to 30 depending on engagement).
Cosmology Critical Density by H
Calculates critical density rho_c in kg/m3 from Hubble parameter H in km/s/Mpc.
Cosmology Omega Matter
Calculates Omega_m = rho_m / rho_c from rho_m (kg/m3) and rho_c (kg/m3).
Cosmology Omega Radiation
Calculates Omega_r = rho_r / rho_c, with rho_r typically near 9e-31 kg/m3 today.
Cosmology Omega Lambda
Calculates Omega_Lambda as dark energy contribution to expansion (~0.69 today).
Cosmology Omega K Curvature
Calculates Omega_k = 1 - Omega_total, indicating universe curvature (<0 open, =0 flat, >0 closed).
Cosmology Redshift Z to Velocity
Converts redshift z to recession velocity v (with relativistic correction for large z).
Cosmology Luminosity Distance by Z
Estimates luminosity distance dL in Mpc for redshift z (approximation for small z).
Cosmology Angular Distance by Z
Estimates angular diameter distance dA = dL / (1+z)^2 in Mpc for redshift z.
Cosmology Cosmic Time by Z
Estimates universe age at z (time since Big Bang in Gyr) with matter-dominated approximation.
Cosmology Particle Horizon Light-Years
Estimates particle horizon of universe (~46.5 billion ly) as function of time since Big Bang.
Cosmology Event Horizon Light-Years
Estimates future event horizon of Lambda-dominated universe (~16 billion ly).
Cosmology CMB Temperature at Z
Calculates CMB temperature at z: T(z) = T0 * (1+z), with T0 = 2.7255 K.
Cosmology CMB Fluctuations Amplitude
Estimates relative dT/T amplitude of CMB fluctuations (~1e-5 today).
Crypto AES-128 Rounds Key
Shows rounds, blocks and key size for AES-128 (10 rounds, 128-bit block).
Crypto AES-192 Rounds Key
Shows rounds and key size for AES-192 (12 rounds, 128-bit block, 192-bit key).
Crypto AES-256 Rounds Key
Shows rounds and key size for AES-256 (14 rounds, 128-bit block, 256-bit key).
Crypto RSA Modulus Bits Key
Shows modulus n in bits and bytes for RSA key (1024, 2048, 3072 or 4096 bits).
Crypto RSA Factor Time GPU
Estimates order of magnitude time to factor RSA key on GPU (NFS sub-exponential scale).
Crypto ECC Curve Bits Key
Compares ECC bits with equivalent RSA bits in security (256 ECC = 3072 RSA).
Crypto Ed25519 Key Bytes
Shows Ed25519 public, private and signature size in bytes (32, 32, 64).
Crypto Curve25519 Key Bytes
Shows Curve25519 (X25519) public and private key size in bytes (both 32 bytes).
Crypto SHA-256 Block Bytes
Shows SHA-256 block, hash and padding size (block 64 B, hash 32 B).
Crypto SHA-512 Block Bytes
Shows SHA-512 block, hash and padding size (block 128 B, hash 64 B).
Crypto HMAC Block by Type Bytes
Calculates block and hash size for HMAC (SHA-256: 64/32 B; SHA-512: 128/64 B; SHA-1: 64/20 B).
Crypto bcrypt Rounds CPU Time
Estimates bcrypt time per hash on modern CPU (12 rounds = ~250 ms typical).
Ortho Fixed Braces Treatment Months
Estimates orthodontic treatment time with fixed braces (typically 18 to 24 months).
Ortho Invisalign Treatment Months
Estimates Invisalign clear aligner treatment time (12 to 18 months for simple cases).
Ortho Ceramic Brackets Minutes
Estimates monthly maintenance time for ceramic brackets (45 to 60 min per session).
Ortho Metal Brackets Minutes
Estimates monthly maintenance time for metal brackets (30 to 45 min per session).
Ortho Elastics by Tray Type
Estimates orthodontic elastics per tray by type (3.5 oz: ~100/tray; 6 oz: ~80/tray).
Ortho Wires Type Patient
Estimates orthodontic wires per patient per phase (NiTi initial, steel final): typically 6 wires/treatment.
Ortho Tooth Extraction Time
Estimates extraction time by tooth type (incisor 15 min, molar 45 min, wisdom 60-90 min).
Ortho Dental Implant Time
Estimates dental implant time by type (single 60 min, multiple 120 min, all-on-4: 4 h).
Ortho Crown Install Time
Estimates crown installation time by type (metal-ceramic 60 min, zirconia 45 min, full ceramic 75 min).
Ortho Veneer Install Time
Estimates veneer installation time by type (direct resin 60 min, porcelain 45 min, contact lens 30 min).
Ortho Laser Whitening Time
Estimates laser whitening time (1 session 30 min, 3 to 4 sessions for full result).
Ortho LED Whitening Time
Estimates LED whitening time (1 session 20 min, 4 to 6 sessions for result).
Chess Elo Rating Improvement by Years
Estimates Elo rating improvement over years (typical gain 50 to 100 pts/year for serious amateur).
Chess FIDE Rating Change by Wins and Losses
Computes FIDE rating change using K-factor (K=20) from wins and losses in tournament.
Chess Glicko-2 Rating for Person
Estimates initial Glicko-2 rating and confidence (RD) for a person: rating 1500, RD 350 default.
Chess Bullet Total Time per Person in Minutes
Estimates total minutes playing bullet chess (1+0): each game ~2 minutes with mental overhead.
Chess Blitz Total Time per Person in Minutes
Estimates total minutes playing blitz (3+2 or 5+0): each game averages 8 minutes.
Chess Rapid Total Time per Person in Minutes
Estimates total minutes playing rapid chess (15+10): each game averages 35 minutes.
Chess Classical Total Time per Person in Minutes
Estimates total minutes playing classical chess (90+30): each game 4 to 6 hours (300 min average).
Chess Italian Opening Score Calculator
Estimates percentage score of the Italian Opening (1.e4 e5 2.Nf3 Nc6 3.Bc4) per games played: ~52 percent white.
Chess Spanish Opening Score Calculator
Estimates percentage score of the Spanish/Ruy Lopez (1.e4 e5 2.Nf3 Nc6 3.Bb5): ~55 percent white.
Chess Sicilian Defense Score Calculator
Estimates percentage score of the Sicilian (1.e4 c5): ~48 percent white (sharp for black).
Chess Queens Indian Defense Score
Estimates percentage score of the Queens Indian (1.d4 Nf6 2.c4 e6 3.Nf3 b6): ~54 percent white.
Chess Kings Indian Defense Score
Estimates percentage score of the Kings Indian (1.d4 Nf6 2.c4 g6 3.Nc3 Bg7): ~50 percent white.
Chess French Defense Score Calculator
Estimates percentage score of the French Defense (1.e4 e6 2.d4 d5): ~53 percent white.
Chinese Fried Rice Recipe Calculator
Estimates Chinese fried rice (Yang Zhou) per person: 150 g cooked rice, 1 egg, 30 g vegetables.
Peking Duck Recipe Calculator
Estimates Peking Duck per person: 200 g duck, 4 pancakes, 30 g hoisin sauce.
Kung Pao Chicken Recipe Calculator
Estimates Kung Pao Chicken per person: 150 g chicken, 30 g peanuts, 10 g dried chili.
General Tso Chicken Recipe Calculator
Estimates General Tso Chicken per person: 180 g chicken, 20 g sugar, 25 ml vinegar.
Orange Chicken Chinese Recipe Calculator
Estimates Orange Chicken per person: 180 g chicken, 60 ml orange juice, 25 g sugar.
Chinese-style Yakisoba Recipe Calculator
Estimates Chinese-style yakisoba per person: 120 g noodles, 80 g protein, 100 g vegetables.
Chow Mein Recipe Calculator
Estimates chow mein per person: 100 g noodles, 100 g protein, 80 g vegetables.
Dim Sum Quantity per Person Calculator
Estimates dim sum quantity per person: 6 to 8 mixed pieces per person at Chinese lunch.
Baozi Quantity per Person Calculator
Estimates baozi (Chinese steamed bun) per person: 3 units per person at main meal.
Jiaozi Quantity per Person Calculator
Estimates jiaozi (Chinese dumpling) per person: 10 units per person at meal.
Mapo Tofu Recipe Calculator
Estimates Mapo Tofu per person: 150 g tofu, 50 g ground meat, 20 g doubanjiang.
Chinese Hot Pot Recipe Calculator
Estimates Chinese hot pot per person: 200 g sliced meat, 150 g vegetables, 100 g mushrooms.
Shaomai Quantity per Person Calculator
Estimates shaomai (siu mai) per person: 4 units per person at dim sum.
Oat Milk Quantity per Person ml per Day
Estimates daily oat milk intake: 250 ml per serving, 2 to 3 servings/day recommended.
Soy Milk Quantity per Person ml per Day
Estimates daily soy milk intake: 250 ml per serving, high protein (7 g per 250 ml).
Almond Milk Quantity per Person ml per Day
Estimates daily almond milk intake: 250 ml per serving, low calorie (30 to 50 kcal/250 ml).
Coconut Milk Quantity per Person ml per Day
Estimates daily coconut milk drink intake: 250 ml, 80 to 100 kcal per serving.
Rice Milk Quantity per Person ml per Day
Estimates daily rice milk intake: 250 ml per serving, hypoallergenic.
Plant Protein Quantity per Person per Day
Estimates daily plant protein: 0.8 g per kg of body weight for sedentary adult, up to 1.6 g/kg for active.
Tofu Quantity per Person per Day
Estimates daily tofu: 100 to 150 g per serving, 8 g protein per 100 g.
Tempeh Quantity per Person per Day
Estimates daily tempeh: 80 to 100 g per serving, 19 g protein per 100 g.
Seitan Quantity per Person per Day
Estimates daily seitan: 80 to 100 g per serving, 25 g protein per 100 g.
Vegan Beans Quantity per Person per Day
Estimates daily cooked beans: 100 g cooked = 8 g protein + fiber.
Quinoa Quantity per Person per Day
Estimates daily cooked quinoa: 100 g cooked = 4 g protein + complex carbs.
Amaranth Quantity per Person per Day
Estimates daily cooked amaranth: 100 g cooked = 4 g protein, rich in lysine.
LoL Jungle CS per Minute Calculator
Calculates CS per minute in League of Legends jungle: good jungler 5 to 6 CS/min, pro 7 to 8 CS/min.
LoL Average KDA Calculator
Calculates KDA = (K+A)/D in League of Legends: KDA above 3 is good, above 5 is excellent.
CSGO Headshot Percentage Calculator
Calculates CSGO headshot percentage: pro average is 55 to 65 percent.
Valorant Ace and Clutch Rate Calculator
Calculates ace (5 kills) and clutch (1vN) rate per match in Valorant.
Dota 2 GPM and XPM Calculator
Calculates GPM (gold/min) and XPM (xp/min) in Dota 2: hard carry has 600+ GPM in late game.
Overwatch Average KDA Calculator
Calculates KDA = (Eliminations+Assists)/Deaths in Overwatch: good DPS has 3+, support 5+.
Fortnite Win Rate Calculator
Calculates Fortnite win rate (Victory Royale): casual 1 to 3 pct, pro 20+ pct.
Rocket League MMR Progress by Seasons
Estimates Rocket League MMR progress per season: 100 to 300 MMR/season gain with practice.
Tetris KPP (Keys Per Piece) Calculator
Calculates Tetris KPP (keys per piece): pros have KPP of 2.5 to 3.0 (max efficiency).
Street Fighter Personal Tier List Calculator
Estimates Street Fighter character tier by win rate: S+ above 60 pct, A 55-60, B 50-55.
Mortal Kombat Fatality Rate Calculator
Calculates Mortal Kombat fatality execution rate: pro player executes 80+ pct of wins.
FIFA Win Rate Calculator
Calculates FIFA Ultimate Team win rate: average player 45-50 pct, pro 70+ pct.
Chicken Tikka Masala Recipe per Person
Estimates chicken tikka masala ingredients per person: chicken, tomato, cream and garam masala spices.
Butter Chicken Recipe per Person
Estimates butter chicken (murgh makhani) ingredients per person: chicken, butter, tomato and cream.
Biryani Rice Recipe per Person
Estimates biryani (Indian spiced rice) ingredients per person: basmati rice, chicken or lamb and saffron.
Vegetable Curry Recipe per Person
Estimates Indian vegetable curry ingredients per person: vegetables, coconut milk, curry powder and rice.
Lentil Dal Recipe per Person
Estimates dal (Indian lentil stew) ingredients per person: lentils, onion, tomato and spices.
Naan Bread Recipe per Person
Estimates naan bread (tandoor oven) ingredients per person: flour, yogurt and yeast.
Roti Flatbread Recipe per Person
Estimates roti (Indian whole-wheat chapati) ingredients per person: whole-wheat flour and water.
Samosa Recipe per Person
Estimates samosa (Indian fried pastries) ingredients per person: dough, potato, peas and spices.
Pakora Recipe per Person
Estimates pakora (Indian chickpea-flour fritters) ingredients per person: chickpea flour and vegetables.
Tandoori Chicken Recipe per Person
Estimates tandoori chicken (yogurt and spice marinade) ingredients per person.
Vindaloo Recipe per Person
Estimates vindaloo (spicy Goa curry with vinegar) ingredients per person: meat, vinegar and chili.
Pani Puri Recipe per Person
Estimates pani puri (Indian street snack with flavored water) ingredients per person.
Lassi Drink Recipe per Person
Estimates lassi (Indian yogurt drink) ingredients per person: yogurt, milk, mango or rose flavor.
VFR Flight Time by Speed and Distance
Calculates VFR (visual) flight time given distance in nautical miles and groundspeed in knots.
IFR Flight Time by Speed and Distance
Calculates IFR (instrument) flight time given distance in NM and groundspeed in knots.
Takeoff Runway Length by Aircraft Type
Estimates required runway length for takeoff by aircraft type: piston single, twin or jet.
Landing Runway Length by Aircraft Type
Estimates required landing runway length by aircraft type: piston single, twin or jet.
Rotation Speed VR from VS1
Calculates rotation speed VR (takeoff) from stall speed VS1: VR = 1.1 to 1.2 times VS1.
Stall Speed VS1 and VSO by Weight
Calculates stall speed VS1 (clean) and VSO (landing) adjusted by current aircraft weight.
Density Altitude by Pressure and Temperature
Calculates density altitude from pressure altitude in ft and temperature in degrees C.
Pressure Altitude by QNH
Calculates pressure altitude from field elevation and QNH (altimeter setting) in hPa.
Wind Triangle for Route
Solves the wind triangle: given TAS, wind direction, wind speed and magnetic course returns GS and heading.
Fuel Burn Rate GPH per Flight
Calculates fuel burn rate in gallons per hour (GPH) from flight time and total fuel burned.
Fuel Reserve VFR and IFR Calculator
Calculates required fuel reserve for day VFR (30 min), night VFR (45 min) and IFR (45 min + alternate).
Aircraft Weight and Balance with Passengers
Sums empty weight, fuel, pilot and passenger weights and compares to MTOW.
VMC Speed for Multi-Engine Aircraft
Estimates VMC (minimum control speed, engine out) for twin-engine aircraft, typically 70 to 85 knots.
Neonatal Weight by Gestational Age Percentile
Estimates birth weight percentile from weight in grams and gestational age in weeks.
Neonatal Length by Gestational Age Table
Estimates expected newborn length in cm by gestational age using Intergrowth-21st table.
Neonatal Head Circumference Table
Estimates expected newborn head circumference from gestational age in weeks.
Newborn Apgar Score Calculator
Sums Apgar score components (HR, respiration, tone, reflex, color) on a 0-10 scale.
Neonatal Jaundice Bilirubin Risk
Assesses neonatal jaundice risk by total bilirubin (mg/dL) and hours of life (Bhutani curve).
Neonatal Glucose Infusion Rate mg/kg/min
Calculates GIR (glucose infusion rate) in mg/kg/min for newborns from volume rate and dextrose concentration.
Neonatal Saline Dose ml/kg
Calculates saline bolus dose for neonatal volume expansion: 10 to 20 ml/kg.
Preterm Caffeine Citrate Dose mg/kg
Calculates caffeine citrate dose for apnea of prematurity: 20 mg/kg loading, 5 to 10 mg/kg/day maintenance.
Neonatal Ampicillin Dose Calculator
Calculates neonatal ampicillin dose for sepsis: 50 to 100 mg/kg/dose, interval based on age.
Neonatal Gentamicin Dose Calculator
Calculates neonatal gentamicin dose for sepsis: 4 to 5 mg/kg by gestational age and days.
Preterm NICU Days Estimator
Estimates NICU days from gestational age at birth (rough rule: 1 day per week below 37).
Neonatal Hospital Stay Days
Calculates neonatal hospital stay duration between birth and discharge dates.
CDN Latency ms by Distance
Estimates CDN latency in ms between client and POP given distance in km. Considers fiber and overhead.
Edge Server Throughput Mbps
Calculates Mbps throughput delivered by an edge server from bytes served and time.
Edge Cache Storage GB by Area
Estimates required GB of edge cache from number of objects and average size.
Edge Region Replication Time
Calculates replication time between edge regions given data size in GB and bandwidth in Mbps.
Edge Functions Cold Start ms
Estimates cold start latency in ms for edge functions across providers (Workers, Vercel, Deno, Lambda Edge).
Edge Functions Throughput RPS
Calculates sustained RPS for an edge function given CPU concurrency and mean request time in ms.
IoT Edge Broker Messages per Second
Estimates messages per second handled by an IoT edge broker from device count and message frequency.
MQTT Broker Messages per Second
Calculates MQTT broker MPS by publish rate, QoS overhead and subscriber count.
CoAP Broker Messages per Second
Calculates CoAP broker MPS (Constrained Application Protocol used in IoT).
Edge IoT Storage by Devices
Estimates edge storage in GB to retain IoT telemetry from N devices over D days.
Edge ML Inference Time ms
Estimates ML inference time in ms on edge hardware (Pi, Jetson Nano, Coral TPU) given model MFLOPs.
TFLite Edge Model Size MB
Estimates size in MB of a TensorFlow Lite model quantized for edge inference.
Mexican Tacos Recipe per Person
Calculates ingredients for Mexican tacos per person: corn tortillas, meat, onion, cilantro, lime and salsa.
Burritos Recipe per Person
Calculates ingredients for burritos per person: flour tortillas, beans, rice, meat, cheese and sauce.
Enchiladas Recipe per Person
Calculates ingredients for enchiladas per person: tortillas, chicken, red or green sauce and cheese.
Quesadillas Recipe per Person
Calculates ingredients for quesadillas per person: tortillas, melted cheese, meat or mushroom filling.
Fajitas Recipe per Person
Calculates ingredients for fajitas per person: meat (chicken or beef), bell pepper, onion, tortillas and fajita seasoning.
Nachos Recipe per Person
Calculates ingredients for nachos per person: tortilla chips, cheese, jalapeno, beans, guacamole and sour cream.
Guacamole Recipe per Person
Calculates ingredients for guacamole per person: avocado, tomato, red onion, lime, cilantro and jalapeno pepper.
Mexican Salsa Recipe per Person
Calculates ingredients for Mexican salsa (pico de gallo) per person: tomato, onion, cilantro, lime and jalapeno.
Pozole Recipe per Person
Calculates ingredients for pozole per person: hominy corn, pork, garlic, oregano and dried chiles.
Mole Poblano Recipe per Person
Calculates ingredients for mole poblano per person: dried chiles, chocolate, spices, chicken and almonds.
Chiles Rellenos Recipe per Person
Calculates ingredients for chiles rellenos per person: poblano peppers, cheese, eggs, flour and tomato sauce.
Mexican Churros Recipe per Person
Calculates ingredients for Mexican churros per person: flour, water, oil, sugar, cinnamon and chocolate.
Mexican Elote Recipe per Person
Calculates ingredients for Mexican elote (street corn) per person: corn, butter, mayo, cotija cheese and chile.
Children Book Pages by Age
Estimates average page count for a children book based on the readers age group (0-3, 4-6, 7-9, 10-12 years).
Young Adult Book Pages by Age
Estimates average page count for a young adult book based on reader age group (12-14, 15-17, 18+ years).
Children Story Reading Time by Pages
Estimates reading time in minutes for a children story based on page count and readers age.
Fable Book Reading Time by Pages
Estimates reading time in minutes for a fable book by page count and average reading speed.
Storytelling Time for Children in Minutes
Estimates the duration in minutes of a storytelling session based on audience age and narrative type.
Typical Story Character Count
Estimates how many characters (main, supporting, antagonist) typically compose a children story by length.
Time to Write Childrens Story by Pages
Estimates hours to write a childrens story of N pages including draft, revision and final pass.
Time to Illustrate Childrens Story by Pages
Estimates hours to illustrate a childrens story by page count and illustration complexity.
Childrens Book Publishing Time in Months
Estimates total months to publish a childrens book covering writing, illustration, editing and printing.
Childrens Book Palette Colors Count
Estimates how many colors compose the palette of an illustrated childrens book by age group and style.
YA Manga Volume Pages Count
Estimates average pages per young adult manga volume (shojo, shonen) by publisher and demographic.
Childrens Book Translation Time by Pages
Estimates hours to translate a childrens book by pages, language pair and complexity.
Classic to YA Adaptation Time in Months
Estimates months to adapt a classic work for young adult audience (abridged and illustrated version).
Restoration Paint Time by Car Type and Area
Estimates hours for full paint job in auto restoration based on car type and surface area in sqm.
Restoration Engine Overhaul Time by Car Type
Estimates hours for full engine rebuild in auto restoration by car type (classic or modern).
Restoration Interior Time by Car Type
Estimates hours of interior restoration (upholstery, dashboard, carpet, ceiling) by car type.
Restoration Suspension Time by Car Type
Estimates hours to inspect and replace suspension components in restoration by car type.
Restoration Brakes Time by Car Type
Estimates hours to restore brake system (discs, pads, calipers, lines) by car type.
Restoration Gearbox Time by Car Type
Estimates hours to rebuild manual or automatic gearbox in restoration by car type.
Restoration Fuel Injection Time by Car Type
Estimates hours to overhaul electronic fuel injection system in restoration by car type.
Restoration Paint Volume by Car Type and Sqm
Estimates liters of automotive paint needed for restoration by car type and surface area in sqm.
Restoration Primer Volume by Car Type and Sqm
Estimates liters of automotive primer needed in restoration by car type and area in sqm.
Restoration Body Filler by Car Type and Sqm
Estimates kg of body filler needed in auto restoration by car type and surface area in sqm.
Classic Car Restoration Budget by Years
Estimates total budget in BRL to restore a classic car factoring vehicle age in years.
Modern Car Restoration Budget by Years
Estimates total budget in BRL to restore a modern car factoring vehicle age in years.
APM Throughput RPS per Application
Calculates sustained throughput in requests per second (RPS) for an application monitored by APM.
APM Error Rate Percent by Application over Time
Computes error rate percent of an application over a time window from total requests and failures.
APM P50 Latency per Application
Estimates median latency P50 in milliseconds for an APM monitored application from samples.
APM P95 Latency per Application
Estimates P95 latency in milliseconds for an APM monitored application from request samples.
APM P99 Latency per Application
Estimates P99 latency in milliseconds for an APM monitored application (long tail of slow requests).
APM P99.9 Latency per Application
Estimates P99.9 latency in milliseconds for an APM monitored application (extreme tail outliers).
APM Trace Spans Storage Bytes
Calculates total storage in GB to retain distributed tracing spans over retention days.
APM Trace Spans RPS Storage
Computes spans per second (RPS) ingested and required daily storage in GB.
APM Metrics Cardinality per Application
Calculates total metric cardinality (unique time series) per application in APM based on labels.
APM Logs RPS and Storage per Application
Calculates log ingest per second (RPS) and required daily storage in GB for an application.
APM SLI Availability Formula
Computes availability SLI (good events / valid events) percent for a monitored application.
APM SLI Error Rate Formula
Computes error rate SLI (bad events / valid events) percent for a monitored application.
Pad Thai Recipe Calculator
Computes Thai Pad Thai ingredients per person from the number of guests.
Thai Red Curry Recipe Calculator
Computes Thai red curry ingredients per person from the number of guests.
Thai Green Curry Recipe Calculator
Computes Thai green curry ingredients per person from the number of guests.
Thai Yellow Curry Recipe Calculator
Computes Thai yellow curry ingredients per person from the number of guests.
Tom Yum Recipe Calculator
Computes Thai Tom Yum soup ingredients per person from the number of guests.
Tom Kha Recipe Calculator
Computes Thai Tom Kha soup ingredients per person from the number of guests.
Massaman Recipe Calculator
Computes Thai Massaman curry ingredients per person from the number of guests.
Som Tam Recipe Calculator
Computes Thai Som Tam salad ingredients per person from the number of guests.
Larb Recipe Calculator
Computes Thai Larb salad ingredients per person from the number of guests.
Papaya Salad Recipe Calculator
Computes Thai papaya salad ingredients per person from the number of guests.
Mango Sticky Rice Recipe Calculator
Computes Thai mango sticky rice ingredients per person from the number of guests.
Satay Recipe Calculator
Computes Thai satay skewer ingredients per person from the number of guests.
Thai Spring Rolls Recipe Calculator
Computes Thai spring roll ingredients per person from the number of guests.
Warren Buffett PE Share Price Years Calculator
Estimates return based on PE ratio, share price and years in Warren Buffett style.
Charlie Munger PE Share Price Years Calculator
Estimates return based on PE ratio, share price and years in Charlie Munger style.
Ray Dalio Bridgewater Annual Return Calculator
Estimates annual return in Ray Dalio Bridgewater All Weather style from contribution and years.
Peter Lynch Magellan Annual Return Calculator
Estimates annual return in Peter Lynch Magellan Fund style from contribution and years.
George Soros Quantum Fund Annual Return Calculator
Estimates annual return in George Soros Quantum Fund style from contribution and years.
Carl Icahn Annual Return Calculator
Estimates annual return in Carl Icahn activist investing style from contribution and years.
Bill Gross PIMCO Annual Return Calculator
Estimates annual return in Bill Gross PIMCO fixed income style from contribution and years.
John Bogle Vanguard Annual Return Calculator
Estimates annual return in John Bogle Vanguard indexing style from contribution and years.
Jim Simons Medallion Annual Return Calculator
Estimates annual return in Jim Simons Medallion Fund quant style from contribution and years.
David Tepper Appaloosa Annual Return Calculator
Estimates annual return in David Tepper Appaloosa distressed debt style from contribution and years.
Stanley Druckenmiller Annual Return Calculator
Estimates annual return in Stanley Druckenmiller macro style from contribution and years.
Julian Robertson Tiger Annual Return Calculator
Estimates annual return in Julian Robertson Tiger Management style from contribution and years.
Mohnish Pabrai Annual Return Calculator
Estimates annual return in Mohnish Pabrai value investing style from contribution and years.
Hollywood Blockbuster Budget Calculator
Estimates Hollywood blockbuster budget considering crew size and production time.
French Cinema Average Budget Calculator
Estimates the average budget of a French film considering production time.
Brazilian Cinema Average Budget Calculator
Estimates the average budget of a Brazilian film considering production time.
Italian Cinema Average Budget Calculator
Estimates the average budget of an Italian film considering production time.
Japanese Cinema Average Budget Calculator
Estimates the average budget of a Japanese film considering production time.
Bollywood Cinema Average Budget Calculator
Estimates the average budget of an Indian Bollywood film considering production time.
Film Pre Production Time in Months Calculator
Estimates the pre production time of a film in months by complexity.
Film Shooting Time in Days Calculator
Estimates the principal photography time of a film in days considering scenes.
Film Post Production Time in Months Calculator
Estimates the post production time of a film in months considering editing color and sound.
Film CGI Budget per Scene Calculator
Estimates the CGI budget per scene considering crew and duration.
Film Soundtrack Budget Calculator
Estimates the soundtrack budget of a film considering duration and recording type.
Film Marketing and Distribution Budget Calculator
Estimates the marketing and distribution budget of a film as a percent of production.
Spark Processing Time per GB Calculator
Estimates Spark processing time in seconds from dataset size in GB.
Spark Optimal Partitions Calculator
Estimates optimal Spark partitions from dataset size in GB and cores.
Spark Executor Memory Calculator
Estimates Spark executor memory in GB by job type (ETL, streaming, ML).
Spark Number of Executors Calculator
Estimates the number of Spark executors by job type and dataset size.
Spark Cores per Executor Calculator
Estimates the number of Spark cores per executor by job type.
Spark Shuffle Overhead Calculator
Estimates Spark shuffle overhead in GB by processed volume.
Spark Broadcast Overhead Calculator
Estimates Spark broadcast join overhead in MB by table size and executors.
Hadoop HDFS Replicas Storage Overhead Calculator
Estimates HDFS storage overhead in GB by replication factor and size.
Hadoop YARN Containers Calculator
Estimates the number of YARN containers by job type and cluster.
Kafka Broker Throughput Calculator
Estimates Kafka messages per second per broker by message size.
Kafka Partitions by Throughput Calculator
Estimates the number of Kafka partitions by desired broker throughput.
Kafka Retention Storage Overhead Calculator
Estimates Kafka storage overhead in GB by retention days and throughput.
Tabbouleh Recipe per Person
Computes bulgur, parsley, mint, tomato, and lemon per person to prepare tabbouleh.
Falafel Recipe per Person
Computes chickpeas, onion, parsley, and spices per person to prepare falafel.
Hummus Recipe per Person
Computes chickpeas, tahini, lemon, and garlic per person to prepare hummus.
Baba Ganoush Recipe per Person
Computes eggplant, tahini, garlic, and lemon per person to prepare baba ganoush.
Fattoush Recipe per Person
Computes pita, lettuce, tomato, cucumber, and sumac per person to prepare fattoush.
Shawarma Recipe per Person
Computes meat, pita, sauce, and veggies per person to prepare shawarma.
Kibbeh Recipe per Person
Computes meat, bulgur, onion, and spices per person to prepare kibbeh.
Esfiha Recipe per Person
Computes dough, meat, onion, and spices per person to prepare open esfiha.
Mansaf Recipe per Person
Computes lamb, rice, jameed, and almonds per person to prepare Jordanian mansaf.
Maqluba Recipe per Person
Computes rice, meat, eggplant, and cauliflower per person to prepare maqluba.
Baklava Recipe per Person
Computes filo dough, nuts, butter, and syrup per person to prepare baklava.
Knafeh Recipe per Person
Computes kataifi dough, nabulsi cheese, butter, and syrup per person to prepare knafeh.
Mahalabia Pudding Recipe per Person
Computes milk, starch, sugar, and rose water per person to prepare Lebanese mahalabia.
Poker Pot Odds Calculator
Computes poker pot odds from pot and call amounts, in ratio and percentage.
Poker Implied Odds Calculator
Computes poker implied odds from pot, call, and expected future winnings.
Poker Expected Value Calculator
Computes poker EV based on win probability and pot and call amounts.
Poker Fold Equity Calculator
Computes required fold equity for a profitable all-in or bluff based on stack and bet.
Poker Hand vs Hand Pre-Flop Equity
Estimates equity of two specific hands pre-flop in Texas Holdem by category lookup.
Poker Hand vs Range Flop Equity
Estimates flop equity vs a range in Texas Holdem using outs and 4-2 rule.
Poker Hand vs Range Turn Equity
Estimates turn equity vs a range using the 2-rule multiplying outs by 2.
Poker Hand vs Range River Equity
Shows final river equity as already decided and classifies the made hand.
Poker ICM Small Blind Pressure
Estimates ICM pressure for small-blind shoves based on tournament stack sizes.
Poker ICM Big Blind Pressure
Estimates ICM big-blind call ranges vs shoves based on tournament stack sizes.
Poker Cash Game Bankroll
Estimates recommended bankroll in buy-ins for a given cash-game stake.
Poker Tournament Bankroll
Estimates recommended tournament bankroll in buy-ins per stake and field size.
Poker Cash Game Variance
Estimates typical standard deviation in BB per 100 hands for online cash games.
Hardy-Weinberg Allele Frequency Calculator
Computes allele frequencies p and q from genotype frequencies using Hardy-Weinberg.
Hardy-Weinberg Equilibrium Test
Checks if a population is at Hardy-Weinberg equilibrium comparing expected and observed.
Pedigree Inbreeding Coefficient Calculator
Computes inbreeding coefficient F for an individual based on parental relationship.
Narrow Sense Heritability h2 Calculator
Computes narrow-sense heritability h2 as additive variance over phenotypic variance.
Broad Sense Heritability H2 Calculator
Computes broad-sense heritability H2 as genetic variance over phenotypic variance.
Wright Fst Genetic Distance Calculator
Computes Wright Fst genetic distance between two populations from heterozygosities.
Nei Genetic Distance Calculator
Computes Nei genetic distance between two populations from genic identities.
Gene Flow Nm Calculator
Estimates gene flow Nm between populations from Fst using Wright formula.
Molecular Population Divergence Time
Estimates divergence time between two populations using molecular clock and sequence divergence.
Population Coalescence Time Calculator
Computes expected coalescence time of two lineages in a Wright-Fisher population as 2Ne generations.
Sample Number of Haplotypes Calculator
Estimates expected number of distinct haplotypes in a sample using Watterson theta.
Genome SNPs Count Calculator
Estimates total SNPs in a genome from genome size in base pairs and average density.
Kubernetes Pod CPU Memory Request by Type
Estimates CPU millicores and memory MiB requests per pod type in Kubernetes.
Kubernetes Pod CPU Memory Limit by Type
Estimates CPU millicores and memory MiB limits per pod type in Kubernetes.
Kubernetes Pod Replicas by Throughput
Estimates pod replicas in Kubernetes for a given pod type and target throughput.
Kubernetes HPA Replicas by CPU Percent
Computes HPA target replicas from current and target CPU utilization.
Kubernetes VPA Recommendation Calculator
Estimates VPA CPU and memory recommendation from historical pod usage.
Kubernetes Cluster Nodes by Pods
Estimates cluster nodes from total pods and node-type capacity.
Kubernetes Cluster CPU Overcommit
Computes CPU overcommit percent in a Kubernetes cluster from request and limit sums.
Kubernetes Cluster Memory Overcommit
Computes memory overcommit percent in a Kubernetes cluster from limits and capacity.
Kubernetes PVC by Storage Class
Estimates PVC IOPS and throughput by selected Kubernetes storage class.
Kubernetes Pod Bandwidth by Type
Estimates network bandwidth in Mbps per Kubernetes pod by workload type.
Kubernetes Pod Latency by Topology
Estimates typical pod-to-pod latency in ms by Kubernetes topology.
Kubernetes Pod Throughput by Type
Estimates packets per second per Kubernetes pod by workload type.
Peruvian Ceviche Recipe per Person
Computes fish, lime, red onion, aji limo, and corn per person to prepare ceviche.
Lomo Saltado Recipe per Person
Computes beef, fries, onion, tomato, and rice per person for Peruvian lomo saltado.
Arroz Chaufa Recipe per Person
Computes rice, chicken, egg, scallion, and soy sauce per person for Peruvian chaufa.
Aji de Gallina Recipe per Person
Computes chicken, bread, milk, yellow chili, and walnuts per person for aji de gallina.
Causa Rellena Recipe per Person
Computes yellow potato, chili, lime, and filling per person for Peruvian causa rellena.
Anticuchos Recipe per Person
Computes beef heart, aji panca, garlic, and vinegar per person for Peruvian anticuchos.
Papa a la Huancaina Recipe per Person
Computes potato, fresh cheese, yellow chili, and milk per person for papa a la huancaina.
Peruvian Pollo a la Brasa Recipe per Person
Computes chicken, marinade, garlic, and potato per person for Peruvian pollo a la brasa.
Rocoto Relleno Recipe per Person
Computes rocoto, ground beef, cheese, and potato per person for Peruvian rocoto relleno.
Tacu Tacu Recipe per Person
Computes rice, canario beans, onion, and chili per person for Peruvian tacu tacu.
Cuy Chactado Recipe per Person
Computes guinea pig, salt, garlic, and potato per person for Peruvian cuy chactado.
Pisco Sour Recipe per Person
Computes pisco, lime, egg white, and syrup per person for the Peruvian pisco sour.
Suspiro Limeno Recipe per Person
Computes condensed milk, yolks, sugar, and port per person for suspiro a la limena.
E-commerce Store Conversion Rate Calculator
Computes online store conversion rate percent from visitors and orders.
E-commerce AOV Average Order Value
Computes AOV or average order value of the online store from revenue and number of orders.
E-commerce CAC Customer Acquisition Cost
Computes customer acquisition cost CAC from marketing spend and customers gained.
E-commerce CLV Customer Lifetime Value
Computes CLV or customer lifetime value from average order, frequency, and retention.
E-commerce Marketing Campaign ROI
Computes marketing campaign ROI percent from generated revenue and investment.
E-commerce ROAS Return on Ad Spend
Computes ROAS from ad-attributed revenue and paid ad investment.
E-commerce Checkout Bounce Rate
Computes checkout bounce rate from started checkouts and completed orders.
E-commerce Average Time to Conversion in Minutes
Computes average time to conversion in minutes per category.
E-commerce Cart Abandonment Rate
Computes cart abandonment rate from carts created and orders completed.
E-commerce Customer Purchase Frequency
Computes annual purchase frequency per customer from total orders and customers.
E-commerce Gross Margin by Category
Computes gross margin percent per product category from revenue and COGS.
E-commerce Price Elasticity of Demand
Computes price elasticity of demand from percent change in price and quantity.
E-commerce Brand Share in Category
Computes brand share within a category from brand sales and category sales.
Seismology Richter Magnitude to Energy
Estimates energy released in joules from Richter magnitude using the Gutenberg formula.
Seismology Moment Magnitude Mw to Energy
Estimates energy in joules from moment magnitude Mw and seismic moment M0.
Seismology Mercalli Intensity by Magnitude and Distance
Estimates perceived Mercalli intensity from magnitude and epicentral distance in km.
Seismology Focal Distance from P Wave Time
Computes distance to focus in km from the P-wave arrival time in seconds.
Seismology Focal Distance from S Wave Time
Computes distance to focus in km from the S-wave arrival time in seconds.
Seismology PGA by Magnitude and Distance
Estimates peak ground acceleration PGA in g from magnitude and distance in km.
Seismology Wave Frequency by Magnitude
Estimates dominant seismic wave frequency in Hz from event magnitude.
Geology Rock Age by Carbon 14
Computes sample age in years using carbon 14 with 5730-year half-life.
Geology Rock Age by Uranium 238
Computes rock age in millions of years using uranium 238 with 4.47 Ga half-life.
Geology Tectonic Plate Speed cm per Year
Computes average tectonic plate speed in cm per year from total displacement.
Geology Volcano Height by Type
Estimates typical volcano cone height in meters by type shield, stratovolcano, or cinder.
Geology Lava Volume by Eruption Type
Estimates lava volume in km3 by eruption type Hawaiian, Strombolian, or Plinian.
LLM Tokens from Portuguese Text Approx
Estimates tokens consumed by a Portuguese text for use with LLMs.
LLM Tokens from English Text Approx
Estimates tokens consumed by an English text for use with LLMs.
LLM Claude Context Window by Version
Shows Claude context window size in tokens by model version.
LLM GPT Context Window by Version
Shows GPT context window size in tokens by model version.
LLM Gemini Context Window by Version
Shows Gemini context window size in tokens by model version.
LLM Llama Context Window by Version
Shows Llama context window size in tokens by model version.
LLM Claude Cost per 1M Tokens by Version
Computes USD cost for 1 million Claude tokens by version, input or output.
LLM GPT Cost per 1M Tokens by Version
Computes USD cost for 1 million GPT tokens by version, input or output.
LLM Gemini Cost per 1M Tokens by Version
Computes USD cost for 1 million Gemini tokens by version, input or output.
LLM Output Tokens by Question Type
Estimates average LLM output tokens by question type summary, code, or essay.
LLM Rate Limit Tokens per Second by Tier
Estimates allowed tokens per second by LLM provider tier for throughput planning.
LLM Batch vs Streaming Token Cost
Compares USD cost of processing tokens in batch versus streaming with discounts.
Recipe Bacalhau a Bras per Person
Estimates cod, straw potatoes, eggs and onion per person for Portuguese bacalhau a Bras.
Recipe Bacalhau a Gomes de Sa per Person
Estimates cod, potato, onion and olive oil per person for bacalhau a Gomes de Sa.
Recipe Bacalhau a Ze do Pipo per Person
Estimates cod, mayonnaise, mashed potato and onion per person for bacalhau a Ze do Pipo.
Recipe Portuguese Seafood Rice per Person
Estimates rice, seafood and broth per person for Portuguese arroz de marisco.
Recipe Cataplana Seafood per Person
Estimates seafood, chourico, potato and white wine per person for Algarve cataplana.
Recipe Portuguese Transmontana Feijoada per Person
Estimates beans, meats and cured sausages per person for feijoada a transmontana.
Recipe Cozido a Portuguesa per Person
Estimates meats, sausages and vegetables per person for traditional cozido a portuguesa.
Recipe Porto Francesinha per Person
Estimates bread, meats, cheese and sauce per person for francesinha from Porto.
Recipe Cod Fritters Pasteis de Bacalhau per Person
Estimates cod, potato, eggs and parsley per person for pasteis de bacalhau.
Recipe Pasteis de Nata per Person
Estimates puff pastry, yolks, sugar and milk per person for pasteis de nata.
Recipe Broa Corn Bread per Person
Estimates cornmeal, rye flour and yeast per person for Portuguese broa de milho.
Recipe Portuguese Bolo Rei per Person
Estimates flour, candied fruits and dried fruits per person for Christmas bolo rei.
Recipe Portuguese Arroz Doce per Person
Estimates rice, milk, sugar, yolks and cinnamon per person for Portuguese rice pudding.
Auto BMS EV Battery by Number of Cells
Estimates BMS voltage, capacity and power by cells in series and parallel for EV batteries.
Auto BMS Hybrid Car by Number of Cells
Estimates BMS voltage, capacity and power by cells in series for hybrid car batteries.
Auto Engine RPM HP and Torque Formula
Computes HP power from torque in Nm and RPM using the classic P=T*RPM/9549 formula.
Auto Engine Displacement Liters to HP
Estimates approximate HP from engine displacement in liters and engine type N/A or turbo.
Auto Electronic Fuel Injection Pulses per RPM
Estimates injection pulses per minute and second by engine RPM and cycles per revolution.
Auto Manual Gearbox Gear Ratio and RPM Speed
Computes vehicle speed from gear ratio, engine RPM and tire radius.
Auto CVT Automatic Gearbox Efficiency
Estimates approximate mechanical efficiency of a CVT gearbox by operating torque and RPM.
Auto Dual Clutch DCT Gearbox Efficiency
Estimates DCT dual clutch gearbox efficiency by torque and shift time.
Auto Coil Spring Suspension in Curve
Computes coil spring compression in a curve by stiffness K and applied lateral force.
Auto Air Suspension Pressure by Altitude
Estimates air suspension pressure adjustment by altitude and ambient temperature.
Auto Disc Brake Diameter and Braking Distance
Estimates braking distance in meters from speed, friction and disc brake diameter.
Auto Drum Brake Braking Time
Estimates braking time in seconds with drum brakes by speed and deceleration.
Auto Electrical 12V vs 48V Efficiency
Compares efficiency, losses and cable gauge between 12V and 48V automotive electrical systems.
DB Postgres Pool Connections by App Type
Estimates Postgres connection pool size by app type web, batch or OLTP.
DB MySQL Pool Connections by App Type
Estimates MySQL connection pool size by app type web, batch or OLTP.
DB MongoDB Pool Connections by App Type
Estimates MongoDB connection pool size by app type web, batch or analytics.
DB Redis Memory by Keys and Type
Estimates Redis memory usage by number of keys and type string, hash or set.
DB Cassandra Replication Factor and Quorum
Computes Cassandra quorum value from replication factor for strong consistency.
DB Elasticsearch Shards by Index Storage
Estimates ideal primary Elasticsearch shards by index size in GB.
DB MongoDB Storage by Documents in MB
Estimates MongoDB disk usage by number of documents and average document size in KB.
DB Postgres Table Size by Number of Rows
Estimates Postgres table size in MB by number of rows and average row size.
DB MySQL Table Size by Number of Rows
Estimates MySQL table size in MB by number of rows and average row size.
DB Redis Throughput Operations per Second
Estimates Redis ops per second by command type GET, SET or INCR.
DB Cassandra Throughput Operations per Second
Estimates Cassandra ops per second by cluster size and query type.
DB Elasticsearch Search Throughput per Second
Estimates Elasticsearch searches per second by number of shards and index size.
Paper Pages by Academic Type
Estimates typical academic paper pages by type conference, journal or workshop.
Paper Pages Master Thesis
Estimates typical pages of a master thesis by research area, hard or social sciences.
Paper Pages PhD Doctoral Thesis
Estimates typical pages of a PhD doctoral thesis by research area and institution.
Paper Pages Systematic Review
Estimates typical pages of a systematic review by number of included studies.
Paper Pages Meta Analysis
Estimates typical pages of a meta analysis by number of included primary studies.
Paper References Count by Type
Estimates typical number of bibliographic references by academic paper type.
Paper Peer Review Time in Days
Estimates average peer review time in days by research area.
Paper Publication Time in Journal Months
Estimates average months between submission and final publication by journal tier.
Paper Months to Write Master Thesis
Estimates months to write a master thesis by pages and weekly hours dedicated.
Paper Months to Write Doctoral Thesis
Estimates months to write a doctoral thesis by pages and weekly hours dedicated.
Paper Researcher H Index by Citations
Estimates approximate researcher H index by number of papers and total citations.
Paper Citations Expected by Journal Tier
Estimates average citations in 5 years by journal tier Q1, Q2, Q3 or Q4.
Recipe Paella Valenciana per Person
Estimates rice, chicken, rabbit, green beans and saffron per person for authentic Valencian paella.
Recipe Paella Seafood per Person
Estimates rice, shrimp, mussels, squid and saffron per person for Spanish seafood paella.
Recipe Paella Mixta per Person
Estimates rice, chicken, shrimp, mussels and saffron per person for mixed meat and seafood paella.
Recipe Gazpacho Andaluz per Person
Estimates tomato, cucumber, pepper, garlic, olive oil and vinegar per person for cold Andalusian gazpacho.
Recipe Salmorejo per Person
Estimates tomato, bread, garlic, olive oil, egg and ham per person for creamy Cordoba salmorejo.
Recipe Spanish Tortilla per Person
Estimates potato, eggs, onion and olive oil per person for classic Spanish tortilla de patatas.
Recipe Jamon Iberico Tapa per Person
Estimates grams of jamon iberico de bellota served as tapa or appetizer per person.
Recipe Jamon Croquettes per Person
Estimates flour, milk, ham, butter and breadcrumbs per person for serrano ham croquettes.
Recipe Patatas Bravas per Person
Estimates potato, oil, spicy brava sauce and alioli per person for Spanish patatas bravas tapa.
Recipe Pulpo a la Gallega per Person
Estimates octopus, potato, olive oil, salt and paprika per person for classic Galician pulpo a feira.
Recipe Cocido Madrileno per Person
Estimates chickpeas, beef, chorizo, blood sausage, cabbage and potato per person for Madrid cocido.
Recipe Fabada Asturiana per Person
Estimates fabes beans, chorizo, morcilla, pancetta and saffron per person for Asturian fabada.
Recipe Spanish Churros per Person
Estimates flour, water, salt, oil and sugar per person for Spanish churros with hot chocolate.
PLC Scan Time by IO Count
Estimates PLC scan cycle time by number of digital and analog inputs and outputs.
PLC Ladder Rungs and Scan Time
Estimates ladder program scan time by number of rungs and instructions per rung.
SCADA Tags per Second per Server
Estimates tags per second a SCADA server can process by CPU and RAM resources.
SCADA Historian Storage by Tags and Years
Estimates GB of storage to historize SCADA tags by number of tags and years of retention.
MES Throughput Orders per Second
Estimates production orders per second a Manufacturing Execution System can process.
ERP Throughput Orders per Second
Estimates sales orders per second an ERP system can process by number of cores.
IIoT Messages per Second Broker
Estimates IIoT MQTT messages per second by number of connected sensors and rate.
IIoT Storage Years Edge Sensor
Estimates GB of storage for IIoT edge gateway by sensors and years of retention.
Three Phase Motor HP to Amps
Computes amperes of a three-phase electric motor by HP power, voltage and power factor.
Motor VFD Frequency to RPM
Computes RPM of an electric motor controlled by a VFD drive from frequency in Hz and pole count.
Motor Soft Starter Ramp Up Time
Estimates motor soft starter ramp-up time by HP power and load type pump or compressor.
Industrial LED Lighting Lux per Watt
Computes lux level in an industrial warehouse by LED wattage and floor area in m2.
Industrial LED Lighting Area to Watt
Computes total LED wattage needed to light an industrial area to a target lux level.
Pentest Passive Recon Time Company
Estimates passive OSINT reconnaissance hours in a pentest by company size and scope.
Pentest Active Recon Time Company
Estimates active recon hours in a pentest by number of IPs and target subdomains.
Pentest Network Scan Time Ports IPs
Estimates network scan time in hours with nmap by number of IPs and ports scanned.
Pentest Vuln Enum Time per Host
Estimates hours to enumerate vulnerabilities per host in pentest with Nessus, nuclei and manual checks.
Pentest Password Bruteforce Time
Estimates online password bruteforce hours by vector SSH, RDP or SMB in a pentest engagement.
Pentest Hash Cracking Time
Estimates offline hash cracking hours by vector NTLM, bcrypt or SHA256 with hashcat on a GPU.
Pentest Pwn Shell Months
Estimates months to gain shell access in a red team engagement by target maturity level.
Pentest Network Pivot Time Host
Estimates hours for lateral pivot between hosts in a pentest by segmentation and tooling.
Pentest Data Exfiltration Time GB
Estimates hours to exfiltrate sensitive data in GB from a target in a stealthy pentest engagement.
Pentest Persistence Time Host Type
Estimates hours to deploy persistence on a host by type Windows, Linux or container.
Pentest C2 Beacon Interval Host
Estimates average C2 beacon callback interval and jitter per host in a red team operation.
Pentest Report Writing Time per Person
Estimates hours to write a pentest final report by findings, severity and number of reviewers.
Bayes Conditional Probability Formula
Computes conditional probability P(A given B) using Bayes formula with priors and likelihood.
Bayes Posterior Prior Likelihood
Computes unnormalized posterior from prior and likelihood using the classic Bayes formula.
Bayes Factor BF Model Comparison
Computes Bayes Factor BF between two models as ratio of marginal likelihood evidences.
Bayes DIC Deviance Information Criterion
Computes DIC Deviance Information Criterion for Bayesian comparison of hierarchical models.
Bayes Credible Interval 95 Posterior
Computes 95 percent credible interval of the posterior assuming approximate normal distribution.
Bayes Credible Interval 99 Posterior
Computes 99 percent credible interval of the posterior assuming approximate normal distribution.
Bayes Hyperparameter Conjugate Prior
Suggests typical hyperparameters of a weak conjugate prior for common Bayesian models.
Bayes Poisson Gamma Conjugate Prior
Computes Gamma posterior for a Poisson model with Gamma conjugate prior given sum and sample size.
Bayes Binomial Beta Conjugate Prior
Computes Beta posterior for a binomial model with Beta conjugate prior given successes and trials.
Bayes Normal Normal Conjugate Prior
Computes Normal posterior for a Normal model with Normal conjugate prior given observed mean.
Bayes MCMC Samples Burn-in Thin
Computes effective MCMC sample count after burn-in and thinning of Bayesian chains.
Bayes MCMC Chain Convergence Rhat
Assesses Bayesian MCMC chain convergence via Gelman and Rubin Rhat diagnostic statistic.
Argentine Asado Recipe per Person
Estimates vacio, asado ribs, chorizo, morcilla, coarse salt and charcoal per person for argentine asado.
Argentine Empanada Recipe per Person
Estimates flour, fat, ground beef, onion, egg and olives per person for argentine empanadas.
Argentine Milanesa Recipe per Person
Estimates beef or chicken fillet, egg, breadcrumbs, garlic, parsley and oil per person for argentine milanesa.
Argentine Locro Recipe per Person
Estimates white corn, beans, squash, beef, chorizo, pancetta and tripe per person for argentine locro.
Argentine Humita Recipe per Person
Estimates fresh corn, milk, cheese, butter, onion, bell pepper and husks per person for argentine humita.
Argentine Tamales Recipe per Person
Estimates corn dough, beef, potato, onion, paprika and husks per person for northern argentine tamales.
Argentine Choripan Recipe per Person
Estimates chorizo, baguette, chimichurri, salsa criolla and embers per person for argentine choripan.
Argentine Matambre Recipe per Person
Estimates beef flank, milk, egg, bell pepper, carrot, parsley and garlic per person for rolled argentine matambre.
Argentine Provoleta Recipe per Person
Estimates provolone cheese, oregano, red pepper and olive oil per person for grilled argentine provoleta.
Argentine Chimichurri Recipe per Person
Estimates parsley, garlic, oregano, red pepper, vinegar, olive oil and salt per person for argentine chimichurri.
Argentine Dulce de Leche Recipe per Person
Estimates milk, sugar, vanilla and baking soda per person for homemade argentine dulce de leche.
Argentine Alfajor Recipe per Person
Estimates flour, butter, sugar, egg, dulce de leche and shredded coconut per person for argentine alfajor.
Argentine Mate Recipe per Person
Estimates yerba mate, hot water and bombilla per person for traditional argentine mate round in the gourd.
WASM Module Initialization Time per KB
Estimates milliseconds to initialize a WebAssembly module based on size in KB.
WASM Function Throughput in Calls per Second
Estimates calls per second of a WebAssembly exported function based on nanoseconds per call.
WASM Memory Pages to MB
Converts WebAssembly Memory page count to megabytes (1 page = 64 KB).
WASM Compilation Time per MB
Estimates milliseconds to streaming-compile a WebAssembly module based on size in MB.
WASM Cold Startup Time Module
Estimates milliseconds for cold-start of a WebAssembly module without browser cache.
WASM Warm Startup Time Module
Estimates milliseconds for warm-start of a WebAssembly module with browser cache hit.
WASM AOT vs JIT Execution Time
Compares milliseconds between AOT tier (TurboFan) and JIT tier (Liftoff) for a WebAssembly workload.
WASM i32 vs i64 Operation Time
Compares nanoseconds between i32 and i64 arithmetic operations in WebAssembly on x64 host.
WASM f32 vs f64 Operation Time
Compares nanoseconds between f32 and f64 arithmetic operations in WebAssembly on x64 host.
WASM SIMD vs Scalar Time
Compares milliseconds between SIMD (v128) and scalar versions of a WebAssembly function.
WASM vs JS Function Time
Compares milliseconds between WebAssembly and hot optimized JavaScript versions of a function.
WASM vs Native Function Time
Compares milliseconds between WebAssembly and native compiled C binary versions of a function.
WASM Thread Overhead per Worker
Estimates milliseconds overhead to spawn a WebAssembly thread via Web Worker and SharedArrayBuffer.
Clean Beauty Mandelic Acid Percent
Computes grams of mandelic acid needed in a cream based on total volume and target percentage.
Clean Beauty Glycolic Acid Percent
Computes grams of glycolic acid needed in a cream based on total volume and target percentage.
Clean Beauty Salicylic Acid Percent
Computes grams of salicylic acid needed in a cream based on total volume and target percentage.
Clean Beauty Azelaic Acid Percent
Computes grams of azelaic acid needed in a cream based on total volume and target percentage.
Clean Beauty Kojic Acid Percent
Computes grams of kojic acid needed in a cream based on total volume and target percentage.
Clean Beauty Tranexamic Acid Percent
Computes grams of tranexamic acid needed in a cream based on total volume and target percentage.
Clean Beauty Peptides Cream Percent
Computes grams of synthetic peptides needed in a cream based on total volume and target percentage.
Clean Beauty Ceramides Cream Percent
Computes grams of ceramides needed in a cream based on total volume and target percentage.
Clean Beauty Niacinamide Cream Percent
Computes grams of niacinamide vitamin B3 needed in a cream based on total volume and target percentage.
Clean Beauty Vitamin C Derivatives Cream Percent
Computes grams of vitamin C derivatives like SAP or MAP needed in a cream based on volume and target percentage.
Clean Beauty Resveratrol Cream Percent
Computes grams of resveratrol needed in a cream based on total volume and target percentage.
Clean Beauty CoQ10 Cream Percent
Computes grams of coenzyme Q10 needed in a cream based on total volume and target percentage.
BR City Tomorrow Temperature Forecast
Estimates maximum tomorrow temperature in a brazilian city based on climatological mean.
BR City 7 Day Rain Forecast
Estimates average rain probability over the next 7 days in a brazilian city based on season.
BR City Tomorrow Humidity Forecast
Estimates average relative humidity for tomorrow in a brazilian city based on biome and season.
BR City Tomorrow Wind Knots Forecast
Estimates average wind speed in knots for tomorrow in a brazilian city, coastal or inland.
BR City Tomorrow Precipitation mm Forecast
Estimates average precipitation in millimeters for tomorrow in a brazilian city.
BR City Tomorrow Evapotranspiration Forecast
Estimates potential evapotranspiration in millimeters for tomorrow in a brazilian city (simplified Penman).
BR City Tomorrow UV Forecast
Estimates maximum UV index expected for tomorrow in a brazilian city based on latitude and cloud cover.
BR Coastal Tomorrow Sea Temperature Forecast
Estimates average sea temperature for tomorrow in a brazilian coastal city based on current and season.
BR River Tomorrow Temperature Forecast
Estimates average river temperature for tomorrow based on current temperature and typical flow.
BR Beach Tomorrow Wind Bet Forecast
Evaluates if a kite or windsurf session is worth tomorrow at a brazilian beach by knots speed.
Cabo Frio Tomorrow Weather Forecast
Estimates temperature, wind and rain chance for tomorrow in Cabo Frio RJ based on a typical upwelling day.
Fernando de Noronha Tomorrow Weather Forecast
Estimates temperature, wind and rain chance for tomorrow in Fernando de Noronha based on a typical trade-wind day.
Thai Pad See Ew Recipe per Person
Estimates wide rice noodles, beef, chinese broccoli, egg and dark soy sauce per person for thai pad see ew.
Thai Khao Soi Recipe per Person
Estimates egg noodles, chicken, coconut milk, yellow curry paste and shallots per person for northern thai khao soi.
Thai Laab Gai Recipe per Person
Estimates ground chicken, mint, cilantro, toasted ground rice, lime and fish sauce per person for isan thai laab gai.
Thai Khao Pad Fried Rice Recipe per Person
Estimates jasmine rice, egg, garlic, scallions, fish sauce and chosen protein per person for thai khao pad fried rice.
Thai Tom Saap Recipe per Person
Estimates pork ribs, lemongrass, galangal, kaffir lime leaves, chili and tamarind per person for isan thai spicy tom saap soup.
Thai Yam Pla Duk Foo Recipe per Person
Estimates crispy shredded catfish, green mango, peanuts, red onion, fish sauce and chili per person for thai yam pla duk foo salad.
Thai Yam Talay Seafood Salad Recipe per Person
Estimates shrimp, squid, mussels, celery, onion, lime and spicy dressing per person for thai yam talay seafood salad.
Thai Kana Moo Grob Recipe per Person
Estimates chinese kale, crispy pork belly, garlic, oyster sauce and chili per person for thai stir-fried kana moo grob.
Thai Khao Niao Mamuang Mango Sticky Rice per Person
Estimates sticky rice, ripe mango, coconut milk, palm sugar and salt per person for thai mango sticky rice dessert.
Thai Roti Mataba Recipe per Person
Estimates roti dough, ground beef, onion, curry, egg and sweet sauce per person for thai muslim stuffed roti mataba.
Thai Roti Prata Sweet Street Recipe per Person
Estimates roti dough, ghee butter, condensed milk, banana and sugar per person for sweet thai street roti prata.
Thai Naam Prik Ong Dip Recipe per Person
Estimates ground pork, tomato, dry chili paste, garlic and raw veggies to dip per person for northern thai naam prik ong.
Thai Tom Jued Clear Soup Recipe per Person
Estimates ground pork, tofu, cabbage, scallions, garlic and light broth per person for thai tom jued clear soup.
Post Cesarean Recovery Time in Months
Estimates typical recovery months after cesarean delivery by age, comorbidities and number of previous c-sections.
Post Vaginal Birth Recovery Time in Weeks
Estimates typical recovery weeks after vaginal birth by maternal age, lacerations and episiotomy.
Estimated Due Date Naegele Formula
Computes the estimated due date by adding 280 days (40 weeks) to the last menstrual period, given as days since today.
Exclusive Breastfeeding Time in Months WHO
Compares informed exclusive breastfeeding time in months with WHO recommendation (6 exclusive months and up to 2 years complementary).
Prenatal 7 Visits Schedule Formula
Builds a suggested 7-visit prenatal schedule starting from the informed current gestational week.
Folic Acid Dose in Pregnancy mcg per Day
Estimates daily folic acid dose in mcg during pregnancy adjusted by informed trimester from 1 to 3.
Iron Dose in Pregnancy mg per Day
Estimates daily elemental iron dose in mg during pregnancy by trimester, profilaxia or anemia treatment.
Calcium Dose in Pregnancy mg per Day
Estimates daily elemental calcium dose in mg recommended during pregnancy for preeclampsia prevention.
PMS Duration in Days per Cycle
Estimates typical PMS days within a menstrual cycle given the informed cycle length in days.
Ovulation Day in Cycle
Computes the likely ovulation day in the menstrual cycle from the informed cycle length in days (rule: cycle minus 14).
Fertile Window Days in Cycle
Computes the fertile window in days of a menstrual cycle from the informed cycle length in days.
Menopause Median Age in Years
Compares informed age with median menopause age in brazilian women (~51 years) and returns the difference.
Perimenopause Mean Duration Years
Estimates mean perimenopause duration in years from the informed age and years since symptom onset.
React Bundle Size by Deps MB
Estimates final React bundle size in MB based on number of average npm dependencies (60 KB minified each).
React FCP Page Load ms
Estimates First Contentful Paint (FCP) in ms of a React page based on initial bundle size in KB.
React LCP Page Load ms
Estimates Largest Contentful Paint (LCP) in ms of a React page based on the hero image size in KB.
React TTI Page Load ms
Estimates Time to Interactive (TTI) in ms of a React page based on the initial JavaScript bundle size in KB.
React CLS Page Shift Score
Computes a React page cumulative layout shift (CLS) from the informed sum of individual impact*100 values.
React FID Page Time ms
Estimates First Input Delay (FID) in ms on a React page based on a long task on the main thread in ms.
Vue Bundle Size by Deps MB
Estimates final Vue bundle size in MB based on number of average npm dependencies (50 KB minified each).
Vue FCP Page Load ms
Estimates First Contentful Paint (FCP) in ms of a Vue page based on initial bundle size in KB.
Vue LCP Page Load ms
Estimates Largest Contentful Paint (LCP) in ms of a Vue page based on the hero image size in KB.
Svelte Bundle Size by Deps MB
Estimates final Svelte bundle size in MB based on number of average npm dependencies (30 KB minified each).
SolidJS Bundle Size by Deps MB
Estimates final SolidJS bundle size in MB based on number of average npm dependencies (25 KB minified each).
Angular Bundle Size by Deps MB
Estimates final Angular bundle size in MB based on number of average npm dependencies (80 KB minified each).
ESG Scope 1 Emissions tCO2 Company
Estimates direct Scope 1 annual emissions in tons CO2 from informed diesel consumption in liters per year.
ESG Scope 2 Emissions tCO2 Company
Estimates Scope 2 annual emissions in tons CO2 from informed electricity consumption in MWh per year (Brazilian SIN 2024 factor).
ESG Scope 3 Emissions tCO2 Company
Estimates Scope 3 annual emissions in tons CO2 from informed number of employees (mean 1.6 tCO2/employee).
ESG Water Footprint Liters per Year Company
Estimates a company annual water footprint in liters from informed number of employees (200 L per workday on average).
ESG Renewable Energy Share Percent
Computes the renewable share of a company total energy consumption from informed MWh renewable and a total of 1000 MWh.
ESG Waste Recycling Share Percent
Computes the recycled share of a company waste generation from informed tons recycled and a total of 100 tons generated.
ESG Gender Diversity Share Percent
Computes the share of women in a company headcount from informed number of women and a fixed total of 100 employees.
ESG Racial Diversity Share Percent
Computes the share of black people in a company headcount from informed number and a fixed total of 100 employees.
ESG Turnover Share Percent
Computes a company annual turnover percent from informed number of leavers and a fixed total of 100 employees.
ESG Gender Pay Gap Percent
Computes the gender pay gap percent from informed female mean salary and a fixed male mean salary of BRL 5000.
ESG Mental Health Program Share Percent
Computes a company mental health program participation percent from informed number and a fixed total of 100 employees.
ESG Workplace Accident Rate Formula
Computes the TFCA workplace accident rate per million hours worked from the informed number of recorded accidents.
Turkish Kebab Recipe Per Person
Estimates the amount of meat in grams to prepare Turkish kebab from the informed number of people (150 g per person).
Doner Kebab Recipe Per Person
Estimates sliced meat amount to prepare doner kebab from informed number of people (180 g per person).
Iskender Kebab Recipe Per Person
Estimates meat and bread for Iskender kebab from informed number of people (200 g of meat per person).
Lahmacun Recipe Per Person
Estimates number of lahmacuns (Turkish pizza) for a group from informed people count (2 units per person).
Borek Recipe Per Person
Estimates borek (Turkish layered pastry) amount in grams from informed people count (120 g per person).
Turkish Kofte Recipe Per Person
Estimates ground meat for koftesi (Turkish meatballs) from informed people count (160 g per person).
Turkish Baklava Recipe Per Person
Estimates baklava portions from informed people count (3 squares per person).
Greek Meze Recipe Per Person
Estimates total meze (Greek appetizers) amount in grams from informed people count (250 g per person).
Spanakopita Recipe Per Person
Estimates spanakopita (Greek spinach pie) amount in grams from informed people count (150 g per person).
Greek Moussaka Recipe Per Person
Estimates moussaka (Greek eggplant lasagna) in grams from informed people count (300 g per person).
Souvlaki Recipe Per Person
Estimates souvlaki skewers from informed people count (3 skewers per person).
Tzatziki Recipe Per Person
Estimates tzatziki sauce amount in ml from informed people count (60 ml per person).
Loukoumades Recipe Per Person
Estimates loukoumades (Greek honey doughnuts) from informed people count (6 doughnuts per person).
MMORPG Leveling Time Class Level
Estimates average hours to level up in an MMORPG from informed target level (1 hour per level up to 60).
MMORPG Gold Farming Per Hour
Estimates gold farmed per hour in an MMORPG from informed hours (10000 gold per hour).
MMORPG XP Grind Time Level
Estimates grind hours to reach informed level using a light exponential curve.
MMORPG Dungeon Time Type Group
Estimates average dungeon time in minutes from informed group size (45 min for 5 players).
MMORPG Raid Time Type Group
Estimates average raid time in hours from informed players count (3 hours for 20-player raid).
MMORPG PVP Arena Time Rating Season
Estimates PVP arena hours per season to reach informed rating (1 hour per 50 rating points).
MMORPG PVP Battleground Time Rating
Estimates battleground hours to reach informed honor rating (1 hour per 40 rating points).
MMORPG Skill Points Class Level
Estimates total skill points for a class up to informed level (1 point per level above 10).
MMORPG Gear Score Class Level
Estimates expected gear score for informed class and level (item level 15 per level above 60).
MMORPG Mounts Count Person Years
Estimates collected mounts from informed years played (15 mounts per year on average).
MMORPG Pets Count Person Years
Estimates collected pets from informed years played (25 pets per year on average).
MMORPG Craft Item Time Type Recipe
Estimates crafting minutes for a recipe from informed material count (3 min per material).
MMORPG Fishing Time Person Area
Estimates fishing hours to collect informed rare fish count (5 hours per rare fish).
Recycling PET Bottles Per Person Year
Estimates annual PET bottles discarded per person from informed weekly use (52 weeks).
Recycling Glass Per Person Year
Estimates yearly glass discarded per person from informed weekly weight (52 weeks).
Recycling Aluminum Per Person Year
Estimates yearly aluminum cans recycled from informed weekly consumption.
Recycling Paper Per Person Year
Estimates yearly paper discarded per person from informed weekly weight.
Recycling Cardboard Per Person Year
Estimates yearly cardboard discarded per person from informed weekly weight.
Recycling Organic Composting Per Person
Estimates yearly composted organic waste from informed daily weight (365 days).
Recycling Batteries Per Person Year
Estimates yearly batteries discarded from informed monthly use (12 months).
Recycling Electronics Per Person Year
Estimates yearly electronics discarded from informed total (units).
Recycling Cooking Oil Per Person Year
Estimates yearly cooking oil discarded from informed monthly use.
Recycling Clothes Per Person Year
Estimates yearly clothes discarded per person from informed total.
Recycling Medicines Per Person Year
Estimates yearly expired medicines discarded from informed total in boxes.
Recycling Bulbs Per Person Year
Estimates yearly bulbs discarded per person from informed total.
DNS Recursive Resolution Time ms
Estimates recursive resolution time in ms from informed hops (15 ms per hop).
DNS Authoritative Resolution Time ms
Estimates authoritative query time in ms from informed RTT latency (1 RTT base).
DNS Cache Hit Ratio Percent Server
Computes cache hit ratio percent from informed hits in 10000 queries.
DNS Throughput Queries Per Second Server
Estimates qps throughput of a DNS server from informed cores (12000 qps per core).
DNS Zone Records Count Type
Estimates total zone records from informed subdomains (5 records per sub).
DNS Zonefile Size Bytes Records
Estimates zonefile size in bytes from informed records count (80 bytes per record).
DNS DNSSEC RRSIG Overhead Bytes
Estimates bytes overhead added by DNSSEC RRSIG from informed RRsets (180 bytes per signature).
DNS EDNS0 Payload Max Bytes
Estimates EDNS0 max payload bytes in a DNS response from informed KB (capped at 4096).
DNS DoT Throughput Queries Per Second
Estimates qps for DNS-over-TLS from informed cores (4000 qps per core due TLS handshake).
DNS DoH Throughput Queries Per Second
Estimates qps for DNS-over-HTTPS from informed cores (3000 qps per core due HTTPS).
DNS DoQ Throughput Queries Per Second
Estimates qps for DNS-over-QUIC from informed cores (6000 qps per core, no TCP handshake).
DNS Anycast Latency ms Locations
Estimates anycast mean latency in ms from informed active PoPs (200 / sqrt(pops)).
Vietnamese Pho Bo Recipe Per Person
Estimates rice noodles in grams to prepare pho bo from informed people (100 g per person).
Vietnamese Pho Ga Recipe Per Person
Estimates chicken in grams to prepare pho ga from informed people (180 g per person).
Vietnamese Banh Mi Recipe Per Person
Estimates baguettes to prepare banh mi from informed people (1 baguette per person).
Vietnamese Bun Cha Recipe Per Person
Estimates pork in grams to prepare bun cha from informed people (200 g per person).
Vietnamese Bun Bo Hue Recipe Per Person
Estimates noodles in grams to prepare bun bo hue from informed people (120 g per person).
Vietnamese Com Tam Recipe Per Person
Estimates broken rice in grams to prepare com tam from informed people (150 g per person).
Vietnamese Banh Xeo Recipe Per Person
Estimates rice flour in grams to prepare banh xeo from informed people (80 g per person).
Vietnamese Banh Cuon Recipe Per Person
Estimates rice flour in grams to prepare banh cuon from informed people (90 g per person).
Vietnamese Cha Gio Recipe Per Person
Estimates cha gio rolls from informed people (4 rolls per person).
Vietnamese Goi Cuon Recipe Per Person
Estimates goi cuon rolls from informed people (3 rolls per person).
Vietnamese Bun Mam Recipe Per Person
Estimates noodles in grams to prepare bun mam from informed people (110 g per person).
Vietnamese Canh Chua Recipe Per Person
Estimates fish in grams to prepare canh chua from informed people (150 g per person).
Vietnamese Che Dessert Recipe Per Person
Estimates mung bean in grams to prepare che from informed people (60 g per person).
DL Training Time by Epochs Batch and GPU
Estimates model training hours from informed epochs (2 hours per epoch on mid GPU).
DL VRAM by Model Parameters and Precision
Estimates VRAM in GB from informed billions of parameters in fp16 (2 GB per billion).
DL Inference Time by Model Batch and GPU
Estimates inference ms from informed tokens (5 ms per token on mid GPU).
DL Training Throughput Samples Per Second Per GPU
Estimates training samples per second from informed GPUs (180 samples per GPU).
DL Inference Throughput Tokens Per Second Per GPU
Estimates inference tokens per second from informed GPUs (200 tokens per GPU).
DL LoRA Fine Tuning Time by Model Billions
Estimates LoRA fine tuning hours from informed billions of parameters (3 hours per billion).
DL Full Fine Tuning Time by Model Billions
Estimates full fine tuning hours from informed billions of parameters (30 hours per billion).
DL Checkpoint Size Bytes by Model
Estimates checkpoint size in GB from informed billions of parameters in fp32 (4 GB per billion).
DL Dataset Size Tokens by Model Type
Estimates training tokens needed from informed billions of parameters (20 tokens per parameter, Chinchilla).
DL FLOPs by Model Parameters and Batch
Estimates GFLOPs per step from informed billions of parameters (6 GFLOPs per param per token).
DL PetaFLOP Days by Model Training
Estimates total training petaflop-days from informed billions of parameters (8 pfd per billion).
DL GPU H100 vs A100 Throughput
Estimates H100 vs A100 throughput gain from informed GPUs (2.5x per GPU).
DL TPU vs GPU Throughput by Model
Estimates TPU v5 vs H100 throughput gain from informed chips (1.6x per chip).
Design Wireframe Time by Page and Person
Estimates wireframing hours from informed pages (2 hours per page).
Design Mockup Time by Page and Person
Estimates hi-fi mockup hours from informed pages (6 hours per page).
Design Prototype Time by Pages and Person
Estimates interactive prototype hours from informed pages (4 hours per page).
Design System Time by Components
Estimates design system hours from informed components (8 hours per component).
Design Handoff Time by Person and Pages
Estimates dev handoff hours from informed pages (1 hour per page).
Design Iteration Feedback Time by Person
Estimates hours per iteration cycle from informed cycles (5 hours per cycle).
Design Project Budget by Pages and Person
Estimates budget in R$ from informed pages (R$ 1500 per page).
Design App Screens Count by Person
Estimates screens count from informed flows (8 screens per flow).
Design App Icons Count by Person
Estimates icons count from informed screens (4 icons per screen).
Design Illustrations Count by Pages and Person
Estimates illustrations count from informed pages (1 per 3 pages).
Design User Research Time by Person
Estimates research hours from informed interviews (3 hours per interview).
Design Usability Test Time by Person
Estimates usability test hours from informed participants (1.5 hours per participant).
Weather Mean Temperature Sao Paulo
Estimates Sao Paulo mean temperature from informed month (annual mean 19 oC, amplitude 5 oC).
Weather Mean Temperature Rio de Janeiro
Estimates Rio mean temperature from informed month (annual mean 24 oC, amplitude 4 oC).
Weather Mean Temperature Brasilia
Estimates Brasilia mean temperature from informed month (annual mean 21 oC, amplitude 3 oC).
Weather Mean Temperature Belo Horizonte
Estimates BH mean temperature from informed month (annual mean 21 oC, amplitude 4 oC).
Weather Mean Temperature Curitiba
Estimates Curitiba mean temperature from informed month (annual mean 17 oC, amplitude 5 oC).
Weather Mean Temperature Porto Alegre
Estimates Porto Alegre mean temperature from informed month (annual mean 20 oC, amplitude 7 oC).
Weather Mean Temperature Salvador
Estimates Salvador mean temperature from informed month (annual mean 26 oC, amplitude 2 oC).
Weather Mean Temperature Fortaleza
Estimates Fortaleza mean temperature from informed month (annual mean 27 oC, amplitude 1 oC).
Weather Mean Temperature Manaus
Estimates Manaus mean temperature from informed month (annual mean 27 oC, amplitude 1 oC).
Weather Mean Temperature Recife
Estimates Recife mean temperature from informed month (annual mean 26 oC, amplitude 2 oC).
Weather Mean Temperature Belem
Estimates Belem mean temperature from informed month (annual mean 27 oC, amplitude 1 oC).
Weather Mean Temperature Cuiaba
Estimates Cuiaba mean temperature from informed month (annual mean 26 oC, amplitude 3 oC).
Egyptian Koshari Recipe Per Person
Estimates rice, lentil and pasta in grams to prepare koshari from informed people (90 g per person).
Egyptian Ful Medames Recipe Per Person
Estimates fava beans in grams to prepare ful medames from informed people (120 g per person).
Egyptian Tameya Falafel Recipe Per Person
Estimates green fava in grams to prepare tameya (Egyptian falafel) from informed people (100 g per person).
Egyptian Mahshi Recipe Per Person
Estimates stuffed vegetables in grams to prepare mahshi from informed people (250 g per person).
Egyptian Molokhia Recipe Per Person
Estimates jute leaves in grams to prepare molokhia from informed people (60 g per person).
Egyptian Bamia Recipe Per Person
Estimates okra in grams to prepare bamia from informed people (150 g per person).
Egyptian Shawarma Recipe Per Person
Estimates meat in grams to prepare Egyptian shawarma from informed people (180 g per person).
Egyptian Kebab Recipe Per Person
Estimates meat in grams to prepare Egyptian kebab from informed people (200 g per person).
Egyptian Fattah Recipe Per Person
Estimates rice, bread and meat in grams to prepare fattah from informed people (280 g per person).
Egyptian Aish Bread Recipe Per Person
Estimates flour in grams to prepare aish (Egyptian bread) from informed people (110 g per person).
Egyptian Basbousa Recipe Per Person
Estimates semolina in grams to prepare basbousa from informed people (90 g per person).
Egyptian Um Ali Recipe Per Person
Estimates puff pastry and milk in grams to prepare um ali from informed people (160 g per person).
Egyptian Ahwa Coffee Recipe Per Person
Estimates coffee powder in grams to prepare ahwa (Egyptian coffee) from informed people (8 g per person).
Audiometry Decibel by Type and Person
Estimates mean hearing threshold in dB HL from informed frequency in kHz (reference 20 dB HL per kHz).
Audiometry Hearing Loss by Person
Estimates hearing loss in dB HL from informed age in years (reference 0.5 dB HL per year).
Audiometry Phonemes by Person
Estimates phonemes recognized per session from informed lists (25 phonemes per list).
Audiometry SPL Decibel by Environment
Estimates sound pressure level in dB SPL from informed distance in meters (reference 70 dB SPL per meter).
Audiometry DPOAE Response by Person
Estimates mean DPOAE response amplitude in dB SPL from informed tested frequencies (reference 6 dB SPL per frequency).
Audiometry BERA Response by Person
Estimates mean wave V latency in ms from informed intensity in dB nHL (reference 0.05 ms per dB).
Audiometry Impedance by Person
Estimates peak admittance in mmho from informed pressure in daPa (reference 0.01 mmho per daPa).
Speech Therapy Dysphonia Treatment
Estimates mean dysphonia treatment duration in months from informed grade 1 to 5 (reference 3 months per grade).
Speech Therapy Dysarthria Treatment
Estimates mean dysarthria treatment duration in months from informed grade 1 to 5 (reference 4 months per grade).
Speech Therapy Stuttering Treatment
Estimates mean stuttering treatment duration in months from informed grade 1 to 5 (reference 5 months per grade).
Speech Therapy Dysphagia Treatment
Estimates mean dysphagia treatment duration in months from informed grade 1 to 5 (reference 2 months per grade).
Speech Therapy Dysgraphia Treatment
Estimates mean dysgraphia treatment duration in months from informed grade 1 to 5 (reference 4 months per grade).
Speech Therapy Dyslexia Treatment
Estimates mean dyslexia treatment duration in months from informed grade 1 to 5 (reference 6 months per grade).
SOC MTTD Mean Time To Detect
Estimates MTTD in minutes from informed incidents (reference 15 min per incident).
SOC MTTR Mean Time To Respond
Estimates MTTR in minutes from informed incidents (reference 30 min per incident).
SOC MTTV Mean Time To Validate
Estimates MTTV in minutes from informed incidents (reference 10 min per incident).
SOC MTTC Mean Time To Contain
Estimates MTTC in minutes from informed incidents (reference 45 min per incident).
SOC MTTE Mean Time To Eradicate
Estimates MTTE in minutes from informed incidents (reference 90 min per incident).
SOC MTTRem Mean Time To Remediate
Estimates MTTRem in minutes from informed incidents (reference 120 min per incident).
SOC Alerts Per Day Tier 1
Estimates alerts per day in Tier 1 from informed analysts (reference 120 alerts per analyst).
SOC Alerts Per Day Tier 2
Estimates alerts per day in Tier 2 from informed analysts (reference 60 alerts per analyst).
SOC Alerts Per Day Tier 3
Estimates alerts per day in Tier 3 from informed analysts (reference 20 alerts per analyst).
SOC False Positive Rate
Estimates false positive rate in percent from informed rules (reference 2 percent per rule).
SOC True Positive Rate
Estimates true positive rate in percent from informed rules (reference 4 percent per rule).
SOC Precision and Recall
Estimates mean precision in percent from informed rules (reference 5 percent per rule).
VLSI Transistors per Chip and Node
Estimates transistors in billions per chip from informed process node in nm (reference 50 billion per nm).
VLSI Chip Area in mm2
Estimates chip area in mm2 from informed transistors in billions (reference 80 mm2 per billion).
VLSI Density Transistors per mm2
Estimates density in million transistors per mm2 from informed nm node (reference 25 Mtr/mm2 per nm).
VLSI Chip Power in Watts
Estimates chip power in watts from informed transistors in billions (reference 5 W per billion).
VLSI Clock Frequency in MHz
Estimates clock frequency in MHz from informed process node in nm (reference 500 MHz per nm).
VLSI TDP Chip in Watts
Estimates chip TDP in watts from informed transistors in billions (reference 8 W per billion).
VLSI Logic Gate Fanout
Estimates max gate fanout from informed loads (reference 4 loads per level).
VLSI Logic Gate Fan-In
Estimates max gate fan-in from informed inputs (reference 3 inputs per level).
VLSI Gate Propagation Delay
Estimates propagation delay in ns from informed cascade gates (reference 0.2 ns per gate).
VLSI Gate Rise and Fall Time
Estimates mean rise or fall time in ns from informed cascade gates (reference 0.3 ns per gate).
VLSI CMOS Power Dissipation
Estimates CMOS dynamic power dissipation in mW from informed gates (reference 0.5 mW per gate).
VLSI CMOS Leakage Current
Estimates CMOS leakage current in pA from informed gates (reference 10 pA per gate).
Ethiopian Injera Bread Recipe Per Person
Estimates teff flour in grams for injera, Ethiopian fermented bread, from informed people (120 g of teff per person).
Ethiopian Doro Wat Recipe Per Person
Estimates chicken and berbere in grams to prepare Ethiopian doro wat from informed people (200 g of chicken per person).
Ethiopian Kitfo Recipe Per Person
Estimates ground beef and mitmita in grams to prepare Ethiopian kitfo from informed people (180 g of beef per person).
Ethiopian Tibs Recipe Per Person
Estimates beef cubes and pepper in grams to prepare Ethiopian tibs from informed people (220 g of beef per person).
Ethiopian Shiro Recipe Per Person
Estimates chickpea flour and berbere in grams to prepare Ethiopian shiro from informed people (60 g of shiro per person).
Ethiopian Misir Wat Recipe Per Person
Estimates red lentil and berbere in grams to prepare Ethiopian misir wat from informed people (80 g of lentil per person).
Ethiopian Yatakelt Wat Recipe Per Person
Estimates mixed vegetables in grams to prepare Ethiopian vegetarian yatakelt wat from informed people (220 g per person).
Ethiopian Gomen Recipe Per Person
Estimates collard greens and spices in grams to prepare Ethiopian gomen from informed people (150 g of greens per person).
Ethiopian Fitfit Recipe Per Person
Estimates shredded injera and wat in grams to prepare Ethiopian fitfit from informed people (180 g of injera per person).
Ethiopian Genfo Recipe Per Person
Estimates barley flour and butter in grams to prepare Ethiopian genfo from informed people (100 g of flour per person).
Ethiopian Firfir Recipe Per Person
Estimates shredded injera with sauce in grams to prepare Ethiopian firfir from informed people (200 g of injera per person).
Ethiopian Buna Coffee Per Person
Estimates Ethiopian coffee beans in grams for buna ceremony from informed people (12 g of coffee per person).
Ethiopian Tej Honey Wine Per Person
Estimates honey and gesho in grams to prepare tej, Ethiopian fermented honey wine, from informed people (180 ml per person).
Knee ACL Rehab Time Months
Estimates average months to rehab after knee ACL surgery from informed age (reference 6 months base).
Knee PCL Rehab Time Months
Estimates average months to rehab after knee PCL injury from informed age (reference 8 months base).
Rotator Cuff Rehab Time Months
Estimates average months to rehab after rotator cuff shoulder injury from informed age (reference 5 months base).
Ankle Sprain Rehab Time
Estimates average weeks to rehab after ankle sprain from informed age (reference 4 weeks base).
Femur Fracture Rehab Time Months
Estimates average months to consolidate and rehab after femur fracture from informed age (reference 6 months base).
Tibia Fracture Rehab Time Months
Estimates average months to consolidate and rehab after tibia fracture from informed age (reference 5 months base).
Radius Fracture Rehab Time Months
Estimates average months to consolidate and rehab after distal radius fracture from informed age (reference 3 months base).
Clavicle Fracture Rehab Time Months
Estimates average months to consolidate and rehab after clavicle fracture from informed age (reference 3 months base).
Cervical Spine Physio Time Months
Estimates average months of physio for cervical spine treatment from informed age (reference 4 months base).
Lumbar Spine Physio Time Months
Estimates average months of physio for lumbar spine treatment from informed age (reference 5 months base).
Disc Herniation Physio Time Months
Estimates average months of physio for disc herniation conservative treatment from informed age (reference 6 months base).
Pilates Rehab Time Months
Estimates average months of therapeutic pilates for rehab from informed age (reference 4 months base).
Hydrotherapy Rehab Time Months
Estimates average months of hydrotherapy for rehab from informed age (reference 3 months base).
Wi-Fi 6 Throughput per MHz and Stations
Estimates Wi-Fi 6 network throughput in Mbps from informed stations (reference 30 Mbps per station up to 8).
Wi-Fi 6 MU-MIMO Streams Throughput
Estimates Wi-Fi 6 MU-MIMO throughput in Mbps from informed streams (reference 150 Mbps per stream).
Wi-Fi 6E Spectrum 6 GHz Channels
Estimates how many 80 MHz channels fit in 6 GHz band from informed total width in MHz (reference 80 MHz per channel).
Wi-Fi 7 Throughput per MHz and Stations
Estimates Wi-Fi 7 network throughput in Mbps from informed stations (reference 60 Mbps per station up to 16).
Wi-Fi 7 MLO Multi-Link Throughput
Estimates Wi-Fi 7 Multi-Link Operation aggregated throughput in Mbps from informed links (reference 1000 Mbps per link).
Wi-Fi 7 OFDMA 4096-QAM Throughput
Estimates per-stream throughput in Mbps with OFDMA 4096-QAM in Wi-Fi 7 from informed width in MHz (reference 6 Mbps per MHz).
Wi-Fi Mesh Throughput per Access Points
Estimates mesh network aggregated throughput in Mbps from informed access points (reference 400 Mbps per point).
Wi-Fi Fronthaul Mesh Throughput
Estimates fronthaul throughput in Mbps in mesh network from informed hops (reference 50 percent loss per hop).
Wi-Fi Band Steering Target Stations
Estimates optimal stations distribution across 2.4/5/6 GHz bands from informed total stations (reference 20/40/40 percent).
Wi-Fi PoE Watts per AP
Estimates total PoE watts consumption from informed access points (reference 25 W per AP).
Wi-Fi AX vs BE Throughput Comparison
Compares throughput in Mbps between Wi-Fi 6 AX and Wi-Fi 7 BE from informed stations (reference 30 vs 60 Mbps).
Wi-Fi Mesh Coverage Square Feet
Estimates mesh network coverage in square feet from informed points (reference 2000 ft2 per point).
Green Chemistry Environmental Factor E
Estimates Environmental Factor E as waste mass divided by product mass from informed masses in kg.
Green Chemistry Atom Economy Percent
Estimates atom economy in percent from product and reagents molar mass informed in g/mol (reference product/reagents).
Green Chemistry RME Reaction Mass Efficiency
Estimates Reaction Mass Efficiency in percent from product mass and reagents mass informed in kg.
Green Chemistry Process Mass Intensity
Estimates Process Mass Intensity as total mass divided by product mass from informed masses in kg.
Green Chemistry Process Energy kJ per kg
Estimates process energy in kJ per kg of product from informed processed kg (reference 1500 kJ/kg).
Green Chemistry Solvents Greenness Score
Estimates solvents Greenness Score on 0-10 scale from informed CHEM21 index (reference 7 is neutral).
Green Chemistry Catalysis Conversion Percent
Estimates catalysis conversion percent from product and reagent mass informed in kg.
Green Chemistry Biorenewable Feedstock Percent
Estimates biorenewable feedstock percent from informed renewable source mass in kg over 100 kg total.
Green Chemistry Degradation Time Years
Estimates chemical product degradation time in years from informed half-life in months.
Green Chemistry Carbon Footprint tCO2
Estimates chemical process carbon footprint in tCO2 from informed product mass in tonnes (reference 1.5 tCO2/t).
Green Chemistry Water Footprint Liters
Estimates chemical process water footprint in liters from informed product mass in kg (reference 50 L/kg).
Green Chemistry VOC Emission kg
Estimates chemical process VOC emission in kg from informed product mass in kg (reference 0.05 kg/kg).
Moroccan Lamb Tagine Recipe Per Person
Estimates lamb in grams for Moroccan tagine with spices and prunes from informed people (200 g of lamb per person).
Moroccan Chicken Tagine Recipe Per Person
Estimates chicken in grams for Moroccan tagine with preserved lemon and olives from informed people (220 g of chicken per person).
Moroccan Fish Tagine Recipe Per Person
Estimates fish in grams for Moroccan tagine with chermoula and tomato from informed people (200 g of fish per person).
Moroccan Couscous Recipe Per Person
Estimates wheat semolina in grams for Moroccan couscous with vegetables from informed people (100 g of semolina per person).
Moroccan Pastilla Recipe Per Person
Estimates phyllo dough in grams for Moroccan pastilla of pigeon or chicken with almonds from informed people (60 g of dough per person).
Moroccan Harira Soup Recipe Per Person
Estimates legumes and tomatoes in grams for harira, Moroccan soup served at Ramadan, from informed people (60 g of legumes per person).
Moroccan Mechoui Roast Lamb Recipe Per Person
Estimates lamb in grams for mechoui, whole lamb roasted in clay oven, from informed people (300 g of lamb per person).
Moroccan Bissara Fava Soup Recipe Per Person
Estimates dried fava beans in grams for bissara, thick Moroccan fava soup, from informed people (80 g of beans per person).
Moroccan Zaalouk Eggplant Salad Recipe Per Person
Estimates eggplant in grams for zaalouk, Moroccan eggplant and tomato salad, from informed people (150 g of eggplant per person).
Moroccan Rfissa Recipe Per Person
Estimates chicken and msemen in grams for rfissa, Moroccan dish with lentils and fenugreek, from informed people (180 g of chicken per person).
Moroccan Msemen Flatbread Recipe Per Person
Estimates flour in grams for msemen, layered Moroccan flatbread, from informed people (100 g of flour per person).
Moroccan Baghrir Pancake Recipe Per Person
Estimates semolina in grams for baghrir, Moroccan thousand-hole pancake, from informed people (80 g of semolina per person).
Moroccan Chebakia Sweet Recipe Per Person
Estimates flour and honey in grams for chebakia, Moroccan sesame sweet at Ramadan, from informed people (60 g of flour per person).
Ergonomics Desk Height by Person Height
Estimates ideal desk height in cm from informed person height in cm (reference 0.42 of height).
Ergonomics Monitor Height by Person Height
Estimates ideal monitor top height in cm from informed person height in cm (reference 0.70 of height to eye level).
Ergonomics Monitor Distance by Person Height
Estimates ideal eye-monitor distance in cm from informed person height in cm (reference 0.40 of height, minimum 50 cm).
Ergonomics Chair Height by Person Height
Estimates ideal chair seat height in cm from informed person height in cm (reference 0.25 of height).
Ergonomics Chair Recline by Person Height
Estimates ideal backrest recline angle in degrees from informed person height in cm (reference 100 to 110 degrees).
Ergonomics Armrest Height by Person Height
Estimates ideal armrest height in cm from informed person height in cm (reference 0.31 of height).
Ergonomics Footrest Height by Person Height
Estimates ideal footrest height in cm from informed person height in cm (reference 0.05 of height for shorter people).
Ergonomics Desk Lighting Lux Per Person
Estimates ideal desk lighting in lux from informed number of office people (reference 500 lux per person).
Ergonomics Office Temperature by Person
Estimates ideal office temperature range in Celsius from informed number of people (reference 20 to 24 degrees).
Ergonomics Office Humidity by Person
Estimates ideal office humidity range in percent from informed number of people (reference 40 to 60 percent).
Ergonomics Office Noise dB Per Person
Estimates total office noise in decibels from informed number of people (reference 50 dB base plus 3 dB per doubling of people).
Ergonomics Work Break Minutes Per Person
Estimates break minutes per work hour from informed hours of continuous work (reference 50-10 rule).
Ergonomics Screen Time Per Person Hours
Estimates recommended visual rest in minutes from informed screen time hours (reference 20-20-20 rule).
GraphQL Throughput Queries Per Second Server
Estimates throughput in queries per second from informed number of parallel queries (reference 250 qps per instance).
GraphQL Throughput Mutations Per Second
Estimates throughput in mutations per second from informed number of parallel mutations (reference 120 mps per instance).
GraphQL Throughput Subscriptions Per Second
Estimates events sent per second via subscriptions from informed number of subscribers (reference 50 events per second per subscriber).
GraphQL Max Query Depth Allowed
Estimates maximum allowed query depth from informed security level (reference 5 to 8 levels).
GraphQL Max Query Complexity Cost
Estimates maximum allowed query complexity cost in points from informed number of requested fields (reference 1000 points per query).
GraphQL DataLoader Batch Size Cache
Estimates ideal DataLoader batch size from informed number of parallel calls (reference 100 items per batch).
GraphQL Persisted Queries Cache By Type
Estimates cache hit rate on persisted queries from informed number of unique queries in app (reference 90 percent hit).
GraphQL Federation Services Overhead
Estimates overhead in milliseconds per federated service from informed number of subgraphs (reference 8 ms per subgraph).
GraphQL Apollo Server RSS MB By Type
Estimates Apollo Server RSS memory in MB from informed number of loaded schemas (reference 80 MB per schema).
GraphQL Relay Pagination Cursor Bytes
Estimates Relay base64 cursor size in bytes from informed number of cursor fields (reference 24 bytes per field).
GraphQL Batching Overhead MS By RPS
Estimates batching overhead in milliseconds from informed requests per second (reference 5 ms per 100 rps).
GraphQL Subscriptions WebSocket Overhead
Estimates subscriptions WebSocket overhead in KB from informed number of active connections (reference 4 KB per connection).
SRI Investment Green Bonds Yield
Estimates annual yield in percent of green bonds from informed amount invested in thousand reais (reference 5.5 percent per year).
SRI Investment Social Bonds Yield
Estimates annual yield in percent of social bonds from informed amount invested in thousand reais (reference 5.0 percent per year).
SRI Investment Sustainability Bonds Yield
Estimates annual yield in percent of sustainability bonds from informed amount invested in thousand reais (reference 5.3 percent per year).
SRI Investment Blue Bonds Yield
Estimates annual yield in percent of ocean blue bonds from informed amount invested in thousand reais (reference 5.2 percent per year).
SRI Investment Transition Bonds Yield
Estimates annual yield in percent of transition bonds from informed amount invested in thousand reais (reference 5.8 percent per year).
SRI ESG Funds Average Yield
Estimates average annual yield in percent of ESG funds from informed amount invested in thousand reais (reference 6.0 percent per year).
SRI SDG Impact By Project Person
Estimates people impacted by SDG project from informed investment in thousand reais (reference 50 people per thousand reais).
SRI Impact Investing Annual Yield
Estimates annual yield in percent of impact investing from informed amount invested in thousand reais (reference 7.0 percent per year).
SRI Renewable Energy Investment Yield
Estimates annual yield in percent of renewable energy investment from informed amount in thousand reais (reference 8.0 percent per year).
SRI Climate Tech Investment Yield
Estimates annual yield in percent of climate tech investment from informed amount in thousand reais (reference 9.0 percent per year).
SRI Edu Tech Investment Yield
Estimates annual yield in percent of edu tech investment from informed amount in thousand reais (reference 7.5 percent per year).
SRI Health Tech Investment Yield
Estimates annual yield in percent of health tech investment from informed amount in thousand reais (reference 8.5 percent per year).
Russian Borscht Recipe Per Person
Estimates beetroot and meat in grams for Russian borscht, traditional sour cream soup, from informed people (150 g of beetroot per person).
Ukrainian Borscht Recipe Per Person
Estimates beetroot and meat in grams for Ukrainian borscht with beans and pampushki from informed people (160 g of beetroot per person).
Russian Pelmeni Recipe Per Person
Estimates dough and meat in grams for pelmeni, Russian stuffed dumplings cooked in broth, from informed people (100 g of dough per person).
Ukrainian Varenyky Recipe Per Person
Estimates dough and filling in grams for varenyky, Ukrainian pierogi with potato or cheese, from informed people (100 g of dough per person).
Russian Blini Recipe Per Person
Estimates flour in grams for blini, Russian thin pancake served with caviar or cream, from informed people (80 g of flour per person).
Russian Shchi Cabbage Soup Recipe Per Person
Estimates cabbage in grams for shchi, traditional Russian sour cabbage soup, from informed people (180 g of cabbage per person).
Russian Pirozhki Stuffed Buns Recipe Per Person
Estimates flour in grams for pirozhki, Russian stuffed baked or fried buns, from informed people (120 g of flour per person).
Russian Stroganoff Recipe Per Person
Estimates beef in grams for stroganoff, Russian dish of beef strips with cream and mushrooms, from informed people (200 g of beef per person).
Russian Olivier Salad Recipe Per Person
Estimates potato and vegetables in grams for Olivier salad, traditional Russian salad served at Christmas, from informed people (100 g of potato per person).
Russian Syrniki Cheese Pancake Recipe Per Person
Estimates tvorog in grams for syrniki, Russian quark cheese pancake served at breakfast, from informed people (150 g per person).
Russian Kvas Drink Recipe Per Person
Estimates rye bread in grams for kvas, Russian fermented bread drink, from informed people (40 g of bread per person).
Russian Medovik Honey Cake Recipe Per Person
Estimates honey in grams for medovik, Russian layered honey cake with cream, from informed people (50 g of honey per person).
Russian Paskha Easter Dessert Recipe Per Person
Estimates tvorog in grams for paskha, Russian pyramid-shaped quark cheese Easter dessert, from informed people (180 g per person).
NLP BPE Tokens Portuguese Approximate Calculator
Estimates approximate BPE tokens in Portuguese text from informed characters (reference 1 token per 4 characters).
NLP BPE Tokens English Approximate Calculator
Estimates approximate BPE tokens in English text from informed characters (reference 1 token per 4 characters).
NLP SentencePiece Tokens Portuguese Calculator
Estimates SentencePiece tokens in Portuguese text from informed characters (reference 1 token per 3.5 characters).
NLP SentencePiece Tokens English Calculator
Estimates SentencePiece tokens in English text from informed characters (reference 1 token per 3.8 characters).
NLP WordPiece BERT Tokens Approximate Calculator
Estimates WordPiece tokens for BERT models from informed characters (reference 1 token per 4.2 characters).
NLP Word Frequency Zipf Law Portuguese Calculator
Estimates expected frequency of rank N word per Zipf Law in Portuguese from informed rank (reference C=0.1, total=1e6).
NLP Type Token Ratio Portuguese Vocabulary Calculator
Estimates TTR (type-token ratio), lexical diversity measure in Portuguese, from informed total tokens (reference 0.45).
NLP Model Perplexity Corpus Tokens Calculator
Estimates language model perplexity on N tokens corpus from informed size in thousand tokens (reference base 32, log2).
NLP BLEU Score Translation Per Person Calculator
Estimates BLEU score, machine translation quality metric, from informed evaluators (reference 0.42 baseline).
NLP ROUGE Score Summarization Per Person Calculator
Estimates ROUGE score, automatic summarization quality metric, from informed evaluators (reference 0.38 baseline).
NLP BERT Score Translation Per Person Calculator
Estimates BERTScore, semantic metric based on embeddings, from informed evaluators (reference 0.87 baseline).
NLP METEOR Score Translation Per Person Calculator
Estimates METEOR score, translation metric with lexical alignment, from informed evaluators (reference 0.55 baseline).
NLP Cohen Kappa Annotation Agreement Per Person Calculator
Estimates Cohen Kappa, inter-annotator agreement measure, from informed annotators (reference 0.72 substantial agreement).
CLT Hour Bank Monthly Quantity Calculator
Estimates accumulated monthly hour bank in hours for 6-month compensation from informed weekly overtime hours (CLT limit 220 h base).
CLT Holiday Worked Double Payment Calculator
Estimates CLT double payment for holiday worked from informed normal hour value in reais (reference 100 percent additional).
CLT Paid Weekly Rest Formula Calculator
Estimates DSR (paid weekly rest) value on overtime from informed monthly overtime hours (formula: OT x DSR days / working days).
CLT Overtime 50 Percent Formula Calculator
Estimates overtime hour value with minimum 50 percent additional (CLT) from informed hourly salary in reais.
CLT Overtime 100 Percent Formula Calculator
Estimates overtime hour value doubled (100 percent) for Sundays and holidays from informed hourly salary in reais.
CLT Night Work Additional Formula Calculator
Estimates 20 percent night additional on urban hour (10pm to 5am) from informed hourly salary in reais.
CLT 12x36 Shift Rest Formula Calculator
Estimates total hours worked in 12x36 shift (12 hours work for 36 hours rest) from informed weeks.
CLT 8 Hour Monday to Friday Rest Calculator
Estimates total hours worked in standard 8h Mon-Fri shift from informed weeks (40h weekly + 4h optional Saturday).
CLT 25 Hour Partial Weekly Calculator
Estimates proportional salary for 25-hour weekly partial shift from informed full salary in reais (reference 220h full).
CLT 30 Hour Partial Weekly Calculator
Estimates proportional salary for 30-hour weekly partial shift from informed full salary in reais (reference 220h full).
CLT Domestic Worker Monthly Formula Calculator
Estimates monthly charges (INSS 8%, FGTS 8%, advance 3.2%) on domestic employee salary from informed salary in reais.
CLT Rural Worker Monthly Formula Calculator
Estimates rural worker salary with productivity additional and overtime from informed base monthly salary in reais.
Sleep 90-Minute Cycles to Wake Up Calculator
Estimates ideal wake-up times based on complete 90-minute cycles from informed number of cycles (reference 5 cycles = 7.5 h).
Sleep REM Phase Person Percentage Calculator
Estimates REM phase time in hours and percentage from informed total sleep hours (reference 20-25 percent of total sleep).
Sleep Deep Phase Person Percentage Calculator
Estimates deep sleep (N3) time in hours from informed total sleep hours (reference 15-20 percent of total sleep).
Sleep Light Phase Person Percentage Calculator
Estimates light sleep (N1+N2) time in hours from informed total sleep hours (reference 50-60 percent of total sleep).
Sleep Debt Accumulated Loss Nights Calculator
Estimates accumulated sleep debt in hours from informed nights with 1.5h average loss (reference 8h adult recommendation).
Sleep Recovery Accumulated Loss Days Calculator
Estimates days needed to recover accumulated sleep debt from informed lost hours (reference 1 day recovers up to 1.5 h).
Sleep Jet Lag Time Zones Recovery Days Calculator
Estimates days to recover from jet lag from informed time zones crossed (reference 1 day per zone).
Sleep Morning Chronotype Person Calculator
Estimates ideal sleep schedule for morning (lark) chronotype from informed wake hour (reference 7.5 h sleep before).
Sleep Night Chronotype Person Calculator
Estimates ideal sleep schedule for night (owl) chronotype from informed wake hour (reference 7.5 h sleep before).
Sleep Intermediate Chronotype Person Calculator
Estimates ideal sleep schedule for intermediate chronotype from informed wake hour (reference 7.5 h sleep before).
Sleep Recommended Adult Age Range Calculator
Estimates recommended sleep for adult from informed age in years (reference 7 to 9 hours for 18-64 years, NSF).
Sleep Recommended Teen Age Range Calculator
Estimates recommended sleep for teenager from informed age in years (reference 8 to 10 hours for 14-17 years, NSF).
Colombian Arepa Recipe Per Person Quantity Calculator
Estimates Colombian arepa (corn dough) ingredients from number of people informed (reference 80 g masarepa per arepa, 2 arepas per person).
Bandeja Paisa Recipe Per Person Calculator
Estimates bandeja paisa (Antioquia platter) ingredients from number of people informed (reference 150 g meat, 100 g beans, 100 g rice, 1 egg, 60 g chicharron per person).
Ajiaco Recipe Per Person Quantity Calculator
Estimates Bogota ajiaco (chicken soup with three potatoes and guascas) ingredients from number of people informed (reference 150 g chicken, 250 g potatoes, 1 g guascas per person).
Colombian Empanada Recipe Per Person Calculator
Estimates Colombian empanada (corn dough with beef and potato filling) ingredients from number of people informed (reference 60 g dough, 50 g filling, 3 empanadas per person).
Lechona Recipe Per Person Quantity Calculator
Estimates Tolima lechona (roasted pork with rice and peas) ingredients from number of people informed (reference 200 g pork, 80 g rice, 50 g peas per person).
Colombian Sancocho Recipe Per Person Calculator
Estimates Colombian sancocho (hearty soup with meats and tubers) ingredients from number of people informed (reference 150 g meat, 200 g tubers, 50 g corn per person).
Mute Recipe Per Person Quantity Calculator
Estimates Santander mute (mondongo soup with corn and chickpea) ingredients from number of people informed (reference 120 g mondongo, 80 g corn, 50 g chickpea per person).
Tolima Tamale Recipe Per Person Calculator
Estimates Tolima tamale (corn dough with meats wrapped in banana leaf) ingredients from number of people informed (reference 200 g dough, 100 g meats, 1 tamale per person).
Colombian Coconut Rice Recipe Per Person Calculator
Estimates Caribbean coconut rice ingredients from number of people informed (reference 80 g rice, 50 ml coconut milk, 10 g raisins per person).
Colombian Mondongo Recipe Per Person Calculator
Estimates Colombian mondongo (tripe soup with tubers) ingredients from number of people informed (reference 150 g tripe, 150 g tubers, 30 g chorizo per person).
Changua Recipe Per Person Quantity Calculator
Estimates Bogota changua (morning milk soup with egg) ingredients from number of people informed (reference 250 ml milk, 1 egg, 5 g scallion per person).
Colombian Bunuelo Recipe Per Person Calculator
Estimates Colombian bunuelo (fried cheese and starch ball) ingredients from number of people informed (reference 30 g starch, 25 g costeno cheese, 3 bunuelos per person).
Arepa De Huevo Recipe Per Person Calculator
Estimates arepa de huevo (fried arepa with egg inside) ingredients from number of people informed (reference 70 g masarepa, 1 egg, 2 arepas per person).
Sports Medicine Stress Fracture Recovery Months Calculator
Estimates stress fracture recovery time from informed severity in 1-5 scale (reference 1.5 months per grade, rest and physiotherapy).
Sports Medicine Meniscus Injury Recovery Months Calculator
Estimates meniscus injury recovery time from informed grade in 1-3 scale (reference 1.5 months per grade, or 4-6 months post-surgery).
Sports Medicine Ligament Injury Recovery Months Calculator
Estimates ligament injury (ACL, MCL) recovery time from informed grade in 1-3 scale (reference 2 months grade 1, 6-9 months grade 3 with surgery).
Sports Medicine Muscle Injury Recovery Months Calculator
Estimates muscle injury recovery time from informed grade in 1-3 scale (reference 0.5 month grade 1, 1.5 month grade 2, 3 months grade 3).
Sports Medicine Tendon Injury Recovery Months Calculator
Estimates tendon injury (tendinopathy) recovery time from informed grade in 1-3 scale (reference 1 month grade 1, 3 months grade 2, 6 months grade 3).
Sports Medicine Minor Injury Recovery Days Calculator
Estimates minor injury (contusion, grade 1 sprain) recovery days from informed severity in 1-5 scale (reference 3 days per grade, gradual return).
Sports Medicine Electrostimulation Minutes Per Muscle Group Calculator
Estimates electrostimulation minutes per muscle group from number of groups informed (reference 12 minutes per group, max session 60 minutes).
Sports Medicine Deep Tissue Massage Minutes Calculator
Estimates deep tissue massage minutes per region from number of regions informed (reference 15 minutes per region, session 30 to 90 minutes).
Sports Medicine Post-Workout Cryotherapy Minutes Calculator
Estimates post-workout cryotherapy (ice bath) minutes from informed temperature in Celsius (reference 10 min at 10C, 5 min at 5C for inflammation reduction).
Sports Medicine PRP Injection Interval Months Calculator
Estimates months between PRP (platelet rich plasma) injections in tendon injuries from informed number of sessions (reference 1 session per month, 3-5 sessions total).
Sports Medicine Tendinitis Treatment Months Calculator
Estimates tendinitis treatment months from informed grade in 1-3 scale (reference 1.5 month grade 1, 3 months grade 2, 6 months grade 3 with physiotherapy).
Sports Medicine Bursitis Treatment Months Calculator
Estimates bursitis treatment months from informed grade in 1-3 scale (reference 1 month grade 1, 3 months grade 2, 6 months grade 3 with anti-inflammatories and rest).
Sports Medicine Plantar Fasciitis Treatment Months Calculator
Estimates plantar fasciitis treatment months from informed grade in 1-3 scale (reference 2 month grade 1, 4 months grade 2, 8 months grade 3 with stretching and orthotic).
Tracing Span Average Size Bytes Calculator
Estimates average tracing span size in bytes from informed number of attributes (reference 200 bytes base + 50 bytes per attribute).
Tracing Spans Per Second Storage Bytes Calculator
Estimates tracing span bytes per second from informed RPS (requests per second) (reference 10 spans per request, 400 bytes per span).
Tracing 1pct Sampling Storage Overhead Calculator
Estimates GB per day storage with 1pct sampling from informed RPS (reference 0.01 factor, 400 bytes per span, 10 spans per request, 86400 s).
Tracing 10pct Sampling Storage Overhead Calculator
Estimates GB per day storage with 10pct sampling from informed RPS (reference 0.10 factor, 400 bytes per span, 10 spans per request, 86400 s).
Tracing Tail Sampling CPU Overhead Calculator
Estimates tail-based sampling (decision after trace complete) CPU overhead percent from informed RPS (reference 5pct base + 0.001pct per RPS).
Tracing Head Sampling CPU Overhead Calculator
Estimates head-based sampling (decision at trace start) CPU overhead percent from informed RPS (reference 1pct base + 0.0001pct per RPS).
Tracing Context Propagation Overhead Bytes Calculator
Estimates W3C traceparent + tracestate header overhead in bytes from informed number of baggage items (reference 55 bytes + 30 bytes per item).
Tracing Jaeger Yearly Storage GB Calculator
Estimates accumulated Jaeger storage GB per year from informed average RPS (reference 10 spans/req, 400 bytes/span, 1pct sampling, 365 days).
Tracing Zipkin Yearly Storage GB Calculator
Estimates accumulated Zipkin storage GB per year from informed average RPS (reference 8 spans/req, 350 bytes/span, 1pct sampling, 365 days).
Tracing Trace ID Lookup Time Ms Calculator
Estimates milliseconds for trace lookup by ID from informed number of spans in backend (reference 0.001 ms per indexed span, ES index).
Tracing Span Tag Cardinality Calculator
Estimates total cardinality of span tags from informed number of services (reference 50 unique tags per service, limited combinatorial multiplication).
Tracing OpenTelemetry Exporter Overhead Calculator
Estimates OpenTelemetry exporter CPU overhead percent from informed RPS (reference 2pct base + 0.0005pct per RPS with batch exporter).
Microservices Circuit Breaker Open Window Minutes Calculator
Estimates circuit breaker open window minutes from informed number of consecutive failures (reference 0.5 min per failure, half-open after timeout).
Microservices Bulkhead Pool Threads Calculator
Estimates pool threads for bulkhead pattern from expected RPS informed (reference square root of RPS, min 4, max 256).
Microservices Rate Limit RPS Per Client Tier Calculator
Estimates allowed RPS per client tier from informed tier in 1-5 scale (reference tier 1=10 RPS, tier 5=10000 RPS, exponential scale).
Microservices Retry Exponential Backoff Total Time Calculator
Estimates total exponential backoff seconds from informed number of attempts (reference 1s base, jitter 20pct, base 2 per attempt).
Microservices Service Call Timeout Ms Calculator
Estimates service call timeout in milliseconds from informed type in 1-5 scale (reference 100 ms sync RPC, 5000 ms upload, 30000 ms batch).
Microservices Distributed Saga Compensating Steps Calculator
Estimates number of compensating steps in distributed saga from informed number of services (reference n forward steps + n compensating steps).
Microservices Event Sourcing Storage Calculator
Estimates event sourcing storage GB from informed events per day (reference 500 bytes per event, 365 days).
Microservices CQRS Read Write Throughput Calculator
Estimates read/write ratio for CQRS pattern from informed RPS (reference typical 10:1 read:write ratio, scales with read sharding).
Microservices API Gateway Sustained Throughput Calculator
Estimates sustained RPS of API gateway from informed number of instances (reference 5000 RPS per c4.large instance with auth, rate limit and routing).
Microservices Service Mesh Latency Overhead Calculator
Estimates additional service mesh (Istio/Linkerd) latency in milliseconds from informed number of hops (reference 0.5 ms per hop with sidecar proxy).
Microservices Sidecar Memory Overhead Calculator
Estimates sidecar (Envoy/Linkerd2-proxy) memory MB from informed RPS (reference 30 MB base + 0.05 MB per peak RPS).
Microservices Service Discovery Resolution Time Calculator
Estimates service discovery (DNS/Consul/Eureka) resolution milliseconds from informed number of registered services (reference 0.01 ms per service, 30 s cache).
Chilean Empanada Recipe Per Person Calculator
Estimates Chilean pino empanada (beef, onion, egg) ingredients from informed people count (reference 2 empanadas per person, 120 g dough, 80 g filling).
Chilean Cazuela Recipe Per Person Calculator
Estimates Chilean cazuela (beef stew with vegetables) ingredients from informed people count (reference 200 g meat, 1 pumpkin piece, 1 corn per person).
Pastel de Choclo Recipe Per Person Calculator
Estimates Chilean pastel de choclo (corn pie with pino) ingredients from informed people count (reference 250 g corn, 100 g beef, 1 egg per person).
Chilean Curanto Recipe Per Person Calculator
Estimates Chilean curanto (Chiloe stone-pit cooking) ingredients from informed people count (reference 200 g meat, 200 g seafood, 150 g potato).
Charquican Recipe Per Person Quantity Calculator
Estimates Chilean charquican (pumpkin, potato and jerky stew) ingredients from informed people count (reference 100 g jerky, 200 g pumpkin, 150 g potato).
Chilean Completo Recipe Per Person Calculator
Estimates Chilean completo (hot dog with tomato, avocado and mayo) ingredients from informed people count (reference 1 bun, 1 sausage, 50 g avocado, 50 g tomato).
Pebre Recipe Per Person Quantity Calculator
Estimates Chilean pebre (cilantro, onion and chili sauce) ingredients from informed people count (reference 30 g onion, 10 g cilantro, 5 g chili per person).
Machas a la Parmesana Recipe Per Person Calculator
Estimates Chilean machas a la parmesana (baked razor clams with cheese) ingredients from informed people count (reference 6 clams, 30 g parmesan, 20 ml white wine).
Chilean Paila Marina Recipe Per Person Calculator
Estimates Chilean paila marina (seafood broth) ingredients from informed people count (reference 250 g seafood, 200 ml fish stock, 50 ml wine).
Chilean Pollo Arvejado Recipe Per Person Calculator
Estimates Chilean pollo arvejado (chicken with peas and carrots) ingredients from informed people count (reference 200 g chicken, 100 g peas, 80 g carrot).
Chilean Sopaipilla Recipe Per Person Calculator
Estimates Chilean sopaipilla (fried pumpkin dough) ingredients from informed people count (reference 3 sopaipillas per person, 60 g flour, 40 g pumpkin).
Mote con Huesillo Recipe Per Person Calculator
Estimates Chilean mote con huesillo (traditional drink with wheat and dried peach) ingredients from informed people count (reference 50 g mote, 2 huesillos per person).
Chilean Leche Asada Recipe Per Person Calculator
Estimates Chilean leche asada (baked milk pudding) ingredients from informed people count (reference 200 ml milk, 1 egg, 30 g sugar per person).
Climbing YDS to French Grade Conversion Calculator
Estimates French grade corresponding to YDS (Yosemite Decimal System) informed by climber (UIAA reference: 5.10a=6a, 5.11a=6c, 5.12a=7b, 5.13a=8a).
Climbing UIAA to YDS Grade Conversion Calculator
Estimates YDS grade corresponding to UIAA informed by climber (reference table: UIAA VI=5.9, VII=5.10, VIII=5.11, IX=5.12, X=5.13).
British Trad to YDS Grade Conversion Calculator
Estimates YDS grade corresponding to British Trad (E-grade) informed by climber (reference table: E1=5.10a, E3=5.11a, E5=5.12a, E7=5.13a, E9=5.14a).
Australian Ewbank to YDS Grade Conversion Calculator
Estimates YDS grade corresponding to Australian Ewbank grade informed by climber (reference table: 17=5.9, 20=5.10c, 23=5.11c, 27=5.12c, 32=5.13d).
Japanese to YDS Climbing Grade Conversion Calculator
Estimates YDS grade corresponding to Japanese grade (kyu/dan) informed by climber (reference table: 5.10a=4kyu, 5.11a=2kyu, 5.12a=1dan, 5.13a=3dan).
Sport Climbing Classic Route Time Per Person Calculator
Estimates years to climb classic routes (5.10-5.11) from informed climber level (reference 2 years for 5.10a, 4 years for 5.11a with consistent training).
Bouldering Technique Time Per Person Calculator
Estimates years to master boulder (V0-V10) from informed climber level (reference 1 year for V3, 3 years for V6, 5 years for V8 with specific training).
Trad Climbing Time Per Person Calculator
Estimates years to climb trad safely (5.9-5.11) from informed climber level (reference 3 years for 5.9 trad, 6 years for 5.11 trad with mentoring).
Aid Climbing Time Per Person Calculator
Estimates years to climb aid (A1-A5) from informed climber level (reference 2 years for A2, 5 years for A4 with big wall practice).
Mixed Climbing Time Per Person Calculator
Estimates years to climb mixed (M-grade rock+ice) from informed climber level (reference 2 years for M4, 5 years for M8, 8 years for M10).
Alpine Climbing Route Time Per Person Calculator
Estimates hours of an alpine route from informed elevation in meters (reference 1 hour per 300 m climb + 30 min per 100 m descent, considering approach).
High Mountain Climbing Time Per Person Calculator
Estimates days for high mountain ascent (above 4000 m) from informed altitude in meters (reference 1 acclimatization day per 1000 m + 1 summit day).
Big Wall Climbing Days Per Person Calculator
Estimates days to climb a big wall (El Capitan style) from informed pitches count (reference 3 pitches per day in A2-A3 with portaledge hauling).
Serverless Lambda Cold Start Time Calculator
Estimates AWS Lambda cold start milliseconds from informed package size in MB (reference 200 ms base + 30 ms per MB for Node.js, +50 ms for Java).
Serverless Lambda Warm Start Time Calculator
Estimates AWS Lambda warm start milliseconds from informed invocations per minute (reference 5 ms overhead + 2 ms per simple handler).
Serverless Lambda Average Execution Time Calculator
Estimates AWS Lambda average execution milliseconds from informed operations (reference 1 ms per CPU op, +20 ms per DB call, +50 ms per external API).
Serverless Lambda Throughput RPS Concurrency Calculator
Estimates sustained AWS Lambda RPS from informed concurrency (reference 1 instance handles up to 1000 RPS with 1 ms or 10 RPS with 100 ms execution).
Serverless Lambda Memory MB Time Pricing Calculator
Estimates AWS Lambda monthly USD cost from informed memory in MB (reference 0.0000166667 USD per GB-second + 0.20 USD per million invocations).
Serverless Cloud Run Cold Start Time Calculator
Estimates Google Cloud Run cold start milliseconds from informed image size in MB (reference 500 ms base + 20 ms per MB for minimal containers).
Serverless Cloud Run Warm Start Time Calculator
Estimates Google Cloud Run warm start milliseconds from informed requests per minute (reference 10 ms overhead + 5 ms per simple HTTP handler).
Serverless Cloudflare Workers Cold Start Time Calculator
Estimates Cloudflare Workers cold start milliseconds from informed bundle size in KB (reference 5 ms base + 0.5 ms per KB using V8 isolates).
Serverless Cloudflare Workers Throughput Per Zone Calculator
Estimates sustained Cloudflare Workers RPS per zone from informed number of PoPs (reference 1000 RPS per edge PoP with bundle below 1 MB and latency below 50 ms).
Serverless Vercel Edge Throughput Calculator
Estimates Vercel Edge Functions RPS from informed number of active regions (reference 800 RPS per region with V8 isolates runtime and time below 30 ms).
Serverless Netlify Edge Throughput Calculator
Estimates Netlify Edge Functions RPS from informed number of locations (reference 700 RPS per location with Deno runtime and time below 50 ms per function).
Serverless Deno Deploy Throughput Calculator
Estimates Deno Deploy RPS from informed number of regions (reference 1200 RPS per region with V8 isolates and cold start below 50 ms).
LGPD Data Leak Fine Company Percentage Calculator
Estimates LGPD data leak fine from informed revenue in BRL millions (reference 2 percent of revenue capped at 50 million per infraction per Law 13709/2018).
LGPD Data Subject Response Time Calculator
Estimates days to respond to LGPD data subject request from informed complexity scale 1 to 5 (reference 15 days standard + 5 days for complex cases per ANPD).
LGPD Dataset Anonymization Time Calculator
Estimates days to anonymize dataset under LGPD from informed size in GB (reference 1 day per 10 GB with k-anonymity and basic differential privacy techniques).
LGPD Data Subject Portability Time Calculator
Estimates days for LGPD data portability from informed volume in MB (reference 5 days for up to 100 MB + 1 day per additional GB in structured format).
LGPD Company DPO Quantity Calculator
Estimates DPO quantity required for LGPD compliance from informed employee count (reference 1 DPO up to 500 employees + 1 per 1000 additional per best practices).
LGPD Incident ANPD Communication Time Calculator
Estimates business days to report incident to ANPD under LGPD from informed severity scale 1 to 5 (reference 2 business days for severe cases per Resolution 2/2022).
LGPD Records of Processing Review Time Calculator
Estimates months to review LGPD Records of Processing Activities from informed mapped processes (reference 1 month for 20 processes + 1 month per 30 additional).
LGPD DPIA Report Time Calculator
Estimates months to prepare LGPD DPIA (Data Protection Impact Assessment) from informed data flows (reference 1 month for 5 flows + 2 weeks per extra flow).
LGPD Legal Bases Processing Type Calculator
Estimates how many LGPD legal bases apply to informed processing on a 1 to 10 sensitivity scale (reference 10 bases art 7 LGPD + 8 bases art 11 for sensitive data).
LGPD Data Subject Rights Time Per Person Calculator
Estimates hours to handle LGPD data subject rights requests from informed monthly requests (reference 2 hours per confirmation request + 4 hours per correction).
LGPD Cookies Banner Acceptance Percentage Calculator
Estimates LGPD cookie acceptance percentage from informed banner type on 1 to 5 scale (reference 30 percent accepts intrusive banner, 80 percent friendly granular banner).
LGPD Cookies Retention Time Calculator
Estimates LGPD maximum cookie retention days from informed purpose scale 1 to 5 (reference 30 days for essential, 90 for preferences, 365 for analytics).
Venezuelan Arepa Recipe Per Person Calculator
Estimates Venezuelan arepa ingredients (baked cornmeal patty) from informed people count (reference 2 arepas per person, 100 g masarepa, 90 ml water).
Pabellon Criollo Recipe Per Person Calculator
Estimates Venezuelan pabellon criollo ingredients (rice, shredded beef, black beans, plantain) from informed people count (reference 100 g rice, 150 g beef, 100 g beans per person).
Hallaca Recipe Quantity Per Person Calculator
Estimates Venezuelan hallaca ingredients (corn dough roll with beef guiso wrapped in banana leaf) from informed people count (reference 2 hallacas per person, 100 g dough each).
Venezuelan Cachapa Recipe Per Person Calculator
Estimates Venezuelan cachapa ingredients (fresh corn pancake with hand cheese) from informed people count (reference 2 cachapas per person, 150 g corn each).
Tequenos Recipe Quantity Per Person Calculator
Estimates Venezuelan tequenos ingredients (fried dough sticks with white cheese) from informed people count (reference 5 tequenos per person, 25 g cheese each).
Asado Negro Recipe Quantity Per Person Calculator
Estimates Venezuelan asado negro ingredients (caramelized beef with dark sauce) from informed people count (reference 200 g beef, 30 g brown sugar per person).
Venezuelan Mondongo Recipe Per Person Calculator
Estimates Venezuelan mondongo ingredients (tripe soup with vegetables and chickpeas) from informed people count (reference 200 g tripe, 80 g chickpeas per person).
Venezuelan Perico Recipe Per Person Calculator
Estimates Venezuelan perico ingredients (scrambled eggs with tomato and onion) from informed people count (reference 2 eggs, 60 g tomato, 30 g onion per person).
Quesillo Recipe Quantity Per Person Calculator
Estimates Venezuelan quesillo ingredients (caramelized condensed milk pudding) from informed people count (reference 1 slice 130 g per person, 30 g condensed milk).
Venezuelan Arroz Con Leche Recipe Per Person Calculator
Estimates Venezuelan arroz con leche ingredients (rice pudding with cinnamon) from informed people count (reference 50 g rice, 200 ml milk, 25 g sugar per person).
Venezuelan Chicha Recipe Per Person Calculator
Estimates Venezuelan chicha ingredients (sweet rice milk drink) from informed people count (reference 200 ml per person, 30 g rice each).
Papelon Con Limon Recipe Per Person Calculator
Estimates Venezuelan papelon con limon ingredients (sugarcane brick lemonade) from informed people count (reference 200 ml per person, 25 g papelon each).
Venezuelan Bollo Pelon Recipe Per Person Calculator
Estimates Venezuelan bollo pelon ingredients (cornmeal dumplings stuffed with guiso) from informed people count (reference 2 dumplings per person, 100 g dough each).
Gamer Mouse DPI Sensitivity Ergo Calculator
Estimates recommended gamer mouse DPI from informed target sensitivity scale 1 to 10 (reference 400 DPI competitive FPS up to 3200 DPI MMO).
Gamer Mouse Polling Rate Hz Ergo Calculator
Estimates recommended polling rate in Hz for gamer mouse from informed usage intensity scale 1 to 5 (reference 125 Hz casual up to 8000 Hz pro FPS).
Gamer Keyboard Actuation Distance MM Ergo Calculator
Estimates recommended actuation distance in mm for gamer keyboard from informed game type scale 1 to 5 (reference 0.4 mm magnetic Hall up to 3.5 mm membrane).
Gamer Monitor Size Per Person Distance Ergo Calculator
Estimates recommended gamer monitor size in inches from informed viewing distance in cm (reference 24 inches at 60 cm up to 32 inches at 90 cm).
Gamer Monitor Refresh Rate Hz Ergo Calculator
Estimates ideal refresh rate in Hz for gamer monitor from informed game type scale 1 to 5 (reference 60 Hz adventure up to 540 Hz competitive FPS).
Gamer Chair Height Per Person Training Ergo Calculator
Estimates recommended gamer chair height in cm from informed person height in cm (reference 25 percent of body height for seat + fine knee 90 deg adjust).
Gamer Desk Height Per Person Training Ergo Calculator
Estimates recommended gamer desk height in cm from informed person height in cm (reference 41 percent of body height for elbow 90 deg).
Gamer Break Training Min Goal Ergo Calculator
Estimates break minutes per hour of gaming from informed competitive intensity scale 1 to 5 (reference 5 min casual up to 15 min pro per 20-20-20 rule).
Streamer Key Light Watts Ergo Calculator
Estimates key light wattage for streamer from informed room size scale 1 to 5 (reference 18 W small bedroom up to 120 W dedicated studio).
Streamer Fill Light Watts Ergo Calculator
Estimates fill light wattage for streamer from informed desired contrast scale 1 to 5 (reference 8 W cinematic high contrast up to 60 W flat lighting).
Streamer Microphone Distance CM Ergo Calculator
Estimates recommended mic distance in cm for streamer from informed capture type scale 1 to 5 (reference 5 cm cardioid condenser up to 30 cm dynamic USB ambient).
Streamer Camera Height Per Person CM Ergo Calculator
Estimates recommended streamer camera height in cm from informed person height in cm (reference eye height +5 cm slightly downward angle).
Streamer Stream Time Per Person Break Ergo Calculator
Estimates break minutes per streaming session from informed live duration in hours (reference 10 min break per hour live + hydration every 30 min).
Cloud AWS EC2 Instance Pricing Type Month Calculator
Estimates monthly USD cost of AWS EC2 instance from informed type scale 1 to 6 (reference t3.micro 7.50 USD up to m5.4xlarge 560 USD per month us-east-1 on-demand).
Cloud AWS S3 Storage Pricing GB Month Calculator
Estimates monthly USD cost of AWS S3 storage from informed volume in GB (reference 0.023 USD per GB Standard, 0.0125 IA, 0.004 Glacier us-east-1).
Cloud AWS Egress Pricing GB Month Calculator
Estimates monthly USD cost of AWS egress data from informed volume in GB (reference 0.09 USD per GB up to 10 TB, 0.085 up to 50 TB, 0.07 up to 150 TB).
Cloud GCP Compute Engine Pricing Type Month Calculator
Estimates monthly USD cost of GCP Compute Engine instance from informed type scale 1 to 6 (reference e2-micro 6.10 USD up to n2-standard-16 565 USD per month us-central1).
Cloud GCP Storage Pricing GB Month Calculator
Estimates monthly USD cost of GCP Cloud Storage from informed volume in GB (reference 0.020 USD per GB Standard, 0.010 Nearline, 0.004 Coldline us-central1).
Cloud GCP Egress Pricing GB Month Calculator
Estimates monthly USD cost of GCP egress data from informed volume in GB (reference 0.12 USD per GB up to 1 TB, 0.11 up to 10 TB, 0.08 up to 5 PB).
Cloud Azure VM Pricing Type Month Calculator
Estimates monthly USD cost of Azure Virtual Machine from informed type scale 1 to 6 (reference B1s 7.59 USD up to D16s v3 561 USD per month East US pay-as-you-go).
Cloud Azure Storage Pricing GB Month Calculator
Estimates monthly USD cost of Azure Blob Storage from informed volume in GB (reference 0.0184 USD per GB Hot, 0.010 Cool, 0.00099 Archive East US LRS).
Cloud Azure Egress Pricing GB Month Calculator
Estimates monthly USD cost of Azure egress data from informed volume in GB (reference 0.087 USD per GB up to 10 TB, 0.083 up to 50 TB, 0.07 up to 150 TB).
Cloud DO Droplet Pricing Type Month Calculator
Estimates monthly USD cost of DigitalOcean Droplet from informed type scale 1 to 6 (reference Basic 4 USD up to CPU Optimized 168 USD per month).
Cloud DO Storage Pricing GB Month Calculator
Estimates monthly USD cost of DigitalOcean Spaces from informed volume in GB (reference 5 USD per 250 GB base, 0.02 USD per extra GB).
Cloud Hetzner Server Pricing Type Month Calculator
Estimates monthly EUR cost of Hetzner Cloud server from informed type scale 1 to 6 (reference CX22 4.15 EUR up to CCX43 64.51 EUR per month Falkenstein).
WCAG 2.2 AA Conformance Percentage Calculator
Estimates WCAG 2.2 level AA conformance percentage from informed number of met criteria scale 0 to 50 (reference 50 total AA criteria, proportional calc).
WCAG 2.2 AAA Conformance Percentage Calculator
Estimates WCAG 2.2 level AAA conformance percentage from informed number of met criteria scale 0 to 28 (reference 28 total AAA-only criteria, additive to AA).
WCAG 3.0 Silver Conformance Percentage Calculator
Estimates WCAG 3.0 Silver level conformance percentage from informed score scale 0 to 4 (reference Silver requires average 3.5 on all critical guidelines).
WCAG 3.0 Gold Conformance Percentage Calculator
Estimates WCAG 3.0 Gold level conformance percentage from informed score scale 0 to 4 (reference Gold requires average 3.85 on all critical guidelines + 50 percent extras).
WCAG 3.0 Bronze Conformance Percentage Calculator
Estimates WCAG 3.0 Bronze level conformance percentage from informed score scale 0 to 4 (reference Bronze requires average 3.0 on critical guidelines and zero critical errors).
WCAG Target Size Minimum CSS Pixels Calculator
Estimates minimum WCAG 2.2 SC 2.5.8 (AA) target size in CSS pixels from informed interaction type scale 1 to 5 (reference 24x24 px minimum, inline 1x exceptions).
WCAG Target Size Enhanced CSS Pixels Calculator
Estimates enhanced WCAG 2.2 SC 2.5.5 (AAA) target size in CSS pixels from informed interaction type scale 1 to 5 (reference 44x44 px minimum AAA, more permissive than AA).
WCAG Focus Not Obscured Percentage Calculator
Estimates required visible focus percentage WCAG 2.2 SC 2.4.11 (AA) from informed overlay type scale 1 to 5 (reference 100 percent visible focus without author content overlay).
WCAG Redundant Entry Time Per Person Calculator
Estimates seconds saved by WCAG 2.2 SC 3.3.7 (Redundant Entry) per person from informed number of repeated fields in flow (reference 8 seconds per avoided field).
WCAG Accessible Authentication Per Person Calculator
Estimates WCAG 2.2 SC 3.3.8 (Accessible Authentication) score per person from informed mechanism type scale 1 to 5 (reference password manager 5/5 down to puzzle CAPTCHA 1/5).
WCAG Consistent Help Percentage Calculator
Estimates percentage of pages with consistent help position WCAG 2.2 SC 3.2.6 (A) from informed number of pages with same pattern scale 0 to 100.
WCAG Dragging Movements Percentage Calculator
Estimates percentage of drag interactions with pointer-only alternative WCAG 2.2 SC 2.5.7 (AA) from informed drag count scale 0 to 100.
Uruguayan Asado Recipe Per Person Calculator
Estimates Uruguayan asado ingredients (parrilla grilled beef with assorted cuts) from informed people count (reference 500 g beef per person, 50 g coarse salt, 20 min braising per kg).
Uruguayan Chivito Recipe Per Person Calculator
Estimates Uruguayan chivito ingredients (steak sandwich with ham cheese bacon egg) from informed people count (reference 1 chivito per person, 150 g steak, 50 g ham, 40 g cheese).
Uruguayan Milanesa Recipe Per Person Calculator
Estimates Uruguayan milanesa ingredients (thin breaded fried steak with mash or salad) from informed people count (reference 180 g steak per person, 1 egg, 80 g breadcrumbs).
Uruguayan Faina Recipe Per Person Calculator
Estimates Uruguayan faina ingredients (thin chickpea flour pancake baked with olive oil) from informed people count (reference 80 g chickpea flour, 200 ml water and 20 ml olive oil per person).
Uruguayan Pascualina Pie Recipe Per Person Calculator
Estimates Uruguayan pascualina pie ingredients (spinach chard ricotta pie with whole eggs in filling) from informed people count (reference 200 g spinach, 80 g ricotta and 1 egg per person).
Uruguayan Canelones Recipe Per Person Calculator
Estimates Uruguayan canelones ingredients (rolled pasta filled with meat or chicken in bechamel) from informed people count (reference 3 canelones per person, 80 g ground meat and 50 ml bechamel per canelone).
Uruguayan Noquis Recipe Per Person Calculator
Estimates Uruguayan noquis ingredients (potato dough pasta traditional on day 29 of month) from informed people count (reference 250 g potato and 80 g flour per person, sauce apart).
Uruguayan Pizzeta Recipe Per Person Calculator
Estimates Uruguayan pizzeta ingredients (individual thin pizza with tomato sauce and mozzarella) from informed people count (reference 1 pizzeta 20 cm per person, 150 g dough and 80 g cheese).
Revuelto Gramajo Recipe Per Person Calculator
Estimates Uruguayan revuelto gramajo ingredients (scrambled eggs with shoestring potatoes ham and peas) from informed people count (reference 2 eggs, 80 g shoestring potato and 50 g ham per person).
Uruguayan Bizcochos Recipe Per Person Calculator
Estimates Uruguayan bizcochos ingredients (sweet or savory laminated buns served with mate) from informed people count (reference 3 bizcochos per person, 40 g dough and 5 g butter each).
Uruguayan Alfajor Recipe Per Person Calculator
Estimates Uruguayan alfajor ingredients (two cookies sandwiching dulce de leche with chocolate coating) from informed people count (reference 2 alfajores per person, 60 g dough and 30 g dulce de leche each).
Uruguayan Rapadura Recipe Per Person Calculator
Estimates Uruguayan rapadura ingredients (solid sweet of brown sugar peanut or coconut) from informed people count (reference 40 g rapadura per person, 30 g brown sugar and 10 g peanut).
Uruguayan Clerico Recipe Per Person Calculator
Estimates Uruguayan clerico ingredients (white sangria with wine chopped fruit and ice) from informed people count (reference 200 ml white wine, 100 g fruit and 50 ml juice per person).
Street Fighter Frame Data Type Calculator
Estimates startup recovery and advantage frames in Street Fighter from informed move type scale 1 to 5 (reference jab 3 frames startup up to super 12 frames startup, at 60 FPS).
Tekken Frame Data Type Calculator
Estimates startup recovery and advantage frames in Tekken from informed move type scale 1 to 5 (reference jab 10 frames startup up to launcher 23 frames startup, at 60 FPS).
Mortal Kombat Fatality Frames Calculator
Estimates total fatality frames in Mortal Kombat from informed finisher type scale 1 to 5 (reference basic fatality 240 frames up to animated brutality 600 frames, at 60 FPS).
Guilty Gear Roman Cancel Frames Calculator
Estimates Roman Cancel frames in Guilty Gear from informed RC type scale 1 to 5 (reference red RC 11 frames up to purple RC 22 frames, at 60 FPS).
King of Fighters Frame Data Calculator
Estimates startup and recovery frames in King of Fighters from informed move type scale 1 to 5 (reference jab 3 frames startup up to MAX super 8 frames startup, at 60 FPS).
SoulCalibur Frame Data Type Calculator
Estimates startup recovery and advantage frames in SoulCalibur from informed move type scale 1 to 5 (reference AA jab 14 frames startup up to Critical Edge 24 frames startup, at 60 FPS).
Virtua Fighter Frame Data Calculator
Estimates startup and recovery frames in Virtua Fighter from informed move type scale 1 to 5 (reference jab 11 frames startup up to launcher 18 frames startup, at 60 FPS).
BlazBlue Frame Data Type Calculator
Estimates startup and drive frames in BlazBlue from informed move type scale 1 to 5 (reference A normal 6 frames startup up to Astral Heat 30 frames startup, at 60 FPS).
Marvel vs Capcom Frame Data Calculator
Estimates startup and hyper frames in Marvel vs Capcom from informed move type scale 1 to 5 (reference jab 3 frames startup up to hyper combo 12 frames startup, at 60 FPS).
Injustice Frame Data Type Calculator
Estimates startup recovery and advantage frames in Injustice from informed move type scale 1 to 5 (reference jab 7 frames startup up to super move 12 frames startup, at 60 FPS).
Dragon Ball FighterZ Frame Data Calculator
Estimates startup and super frames in Dragon Ball FighterZ from informed move type scale 1 to 5 (reference L normal 5 frames startup up to Meteor super 9 frames startup, at 60 FPS).
Skullgirls Frame Data Type Calculator
Estimates startup and blockbuster frames in Skullgirls from informed move type scale 1 to 5 (reference LP 4 frames startup up to level 5 Blockbuster 10 frames startup, at 60 FPS).
Melee SSBM Frame Data Calculator
Estimates startup and endlag frames in Super Smash Bros Melee from informed move type scale 1 to 5 (reference jab 2 frames startup up to Final Smash 30 frames startup, at 60 FPS).
AI Prompt System Tokens Approximate Calculator
Estimates approximate system prompt tokens in LLMs from informed character count in English (reference 1 token per 4 characters or 0.75 words in default OpenAI heuristic).
AI Prompt User Tokens Approximate Calculator
Estimates approximate user prompt tokens in LLMs from informed character count in English (reference 1 token per 4 characters or 0.75 words in default OpenAI heuristic).
AI Prompt Few Shot Tokens Approximate Calculator
Estimates approximate few-shot prompt tokens in LLMs from informed example count (reference 120 tokens per input+output example in English, plus 50 tokens base instruction).
AI Prompt CoT Chain of Thought Tokens Calculator
Estimates approximate CoT chain-of-thought prompt tokens in LLMs from informed reasoning step count (reference 80 tokens per step + 100 tokens of instruction Lets think step by step).
AI Prompt ReAct Pattern Tokens Calculator
Estimates approximate ReAct (Reason Act) prompt tokens in LLMs from informed thought-action-observation cycle count (reference 150 tokens per cycle + 200 tokens base instruction).
AI Prompt RAG Augmented Tokens Approximate Calculator
Estimates approximate RAG (retrieval augmented) prompt tokens in LLMs from informed retrieved chunk count (reference 250 tokens per 512-char chunk + 150 tokens query and instruction).
AI Prompt Treats System Tokens Calculator
Estimates approximate treats system prompt tokens (safety and tracking instructions) in LLMs from informed rule count (reference 60 tokens per safety rule + 80 tokens base).
AI Prompt Tool Use Tokens Approximate Calculator
Estimates approximate tool use (function calling) prompt tokens in LLMs from informed exposed function count (reference 180 tokens per function with JSON schema + 100 tokens base instruction).
AI Prompt Context Cache Tokens Percent Calculator
Estimates cached context percentage in LLMs with prompt caching from informed total token count (reference 90 percent price discount for cached tokens Anthropic and 50 percent OpenAI).
AI Prompt Output Tokens Approximate Calculator
Estimates approximate output tokens in LLMs from informed desired word count in response (reference 1.33 tokens per English word or 1 token per 4 characters).
AI Prompt Quality Metric Tokens Calculator
Estimates prompt quality score in LLMs from informed token count scale 1 to 5 (reference 200 tokens score 5 down to 5000 tokens score 1, due to instruction dilution).
AI Prompt Cost Tokens Model Calculator
Estimates LLM prompt cost in dollars from informed token count (reference GPT-4o at 2.50 USD per million input and 10.00 per million output, Claude Sonnet at 3.00 and 15.00).
REIT American Real Estate Dividend Yield Calculator
Estimates American REIT dividend yield from informed annual dividend per share in dollars (reference average price USD 50 per share and 3 to 6 percent target yield in sector).
REIT Brazilian FII Dividend Yield Calculator
Estimates Brazilian FII dividend yield from informed monthly income per share in reais (reference average price R$ 100 per share and 0.6 to 1.0 percent monthly target yield).
REIT Funds From Operations FFO Calculator
Estimates REIT funds from operations from informed net income in millions USD (reference FFO equals net income plus depreciation plus amortization minus property sale gains).
REIT Adjusted Funds From Operations AFFO Calculator
Estimates REIT adjusted funds from operations from informed FFO in millions USD (reference AFFO equals FFO minus maintenance capex minus straight-line rent).
REIT Net Asset Value NAV Formula Calculator
Estimates REIT net asset value from informed annual NOI in millions USD (reference NAV equals NOI divided by 6 percent average market cap rate minus debt).
REIT Net Asset Value Per Share Calculator
Estimates REIT NAV per share from informed total NAV in millions USD (reference 100 million shares outstanding typical for mid-cap REIT).
REIT Debt to Equity Type Calculator
Estimates REIT debt-to-equity ratio from informed portfolio type scale 1 to 5 (reference conservative 0.5 up to leveraged 2.0, sector median 1.0).
REIT Occupancy Rate Portfolio Percentage Calculator
Estimates REIT portfolio occupancy rate from informed percentage of occupied m2 in 0 to 100 scale (reference 95 percent premium office sector target, 90 percent retail).
REIT Vacancy Rate Portfolio Percentage Calculator
Estimates REIT portfolio vacancy rate from informed percentage of vacant m2 in 0 to 100 scale (reference 5 percent healthy sector limit, above 15 percent signals stress).
REIT Cap Rate Property Type Calculator
Estimates REIT property cap rate from informed asset type scale 1 to 5 (reference Class A office 4.5 percent up to industrial logistics 7.5 percent).
REIT NOI Net Operating Income Calculator
Estimates REIT net operating income from informed annual revenue in millions USD (reference NOI equals revenue minus operating expenses without finance or taxes).
REIT Cash on Cash Return Formula Calculator
Estimates REIT investment cash-on-cash return from informed annual cash flow in thousands USD (reference USD 100k downpayment investment, 8 to 12 percent target sector return).
Bolivian Saltena Recipe Per Person Calculator
Estimates Bolivian saltena ingredients (savory baked empanada with sweet-spicy broth) from informed people count (reference 2 saltenas per person, 80 g ground beef and 40 g dough per unit).
Bolivian Anticucho Recipe Per Person Calculator
Estimates Bolivian anticucho ingredients (grilled beef heart skewer with aji) from informed people count (reference 3 skewers per person, 60 g heart per skewer and aji panca marinade).
Bolivian Silpancho Recipe Per Person Calculator
Estimates Bolivian silpancho ingredients (thin breaded beef over rice and potato with egg) from informed people count (reference 1 plate per person, 150 g thinly pounded beef and 1 egg).
Bolivian Peanut Soup Recipe Per Person Calculator
Estimates Bolivian peanut soup ingredients (peanut soup with beef and potato) from informed people count (reference 400 ml per person, 60 g raw ground peanut and 80 g beef).
Bolivian Paceno Fricase Recipe Per Person Calculator
Estimates Paceno fricase ingredients (pork stew with aji amarillo and hominy) from informed people count (reference 250 g pork per person, 80 g hominy and 30 g aji).
Bolivian Pique Macho Recipe Per Person Calculator
Estimates Pique Macho ingredients (cubed beef with sausage french fries and bell pepper) from informed people count (reference shareable plate, 200 g beef and 150 g fries per person).
Bolivian Saice Recipe Per Person Calculator
Estimates Tarijenho Saice ingredients (ground beef stew with peas potato and red aji) from informed people count (reference 180 g ground beef and 60 g peas per person).
Bolivian Majadito Recipe Per Person Calculator
Estimates Cruceno Majadito ingredients (mashed rice with charqui or duck and annatto) from informed people count (reference 120 g rice and 80 g charqui per person).
Bolivian Empanada Recipe Per Person Calculator
Estimates Bolivian empanada ingredients (wheat dough with beef or cheese filling) from informed people count (reference 3 units per person, 50 g dough each).
Bolivian Api Morado Recipe Per Person Calculator
Estimates Api Morado ingredients (hot purple corn drink with cinnamon and clove) from informed people count (reference 300 ml per person, 50 g ground purple corn and 30 g sugar).
Bolivian Chuno Recipe Per Person Calculator
Estimates Andean chuno ingredients (freeze and sun dried potato used in soups and stews) from informed people count (reference 60 g dry chuno per person rehydrates to 180 g).
Bolivian Tamal Recipe Per Person Calculator
Estimates Bolivian tamal ingredients (corn masa with meat wrapped in corn husk and steamed) from informed people count (reference 1 tamal per person, 120 g masa and 60 g filling).
Paceno Chairo Recipe Per Person Calculator
Estimates Paceno Chairo ingredients (thick Andean soup with chuno meat vegetables and wheat) from informed people count (reference 450 ml per person, 80 g meat and 40 g dry chuno).
Indoor LED Lighting Watts per Area Calculator
Estimates required LED wattage for indoor growing from informed area in m2 (reference 40 W real per m2 for veg and 50 to 60 W for flower on efficient full-spectrum LED).
Indoor Fluorescent Lighting Watts per Area Calculator
Estimates required T5 fluorescent wattage for indoor growing from informed area in m2 (reference 80 W per m2 for seedlings and clones, lower efficiency than LED).
Indoor CO2 Injector PPM per Volume Calculator
Estimates CO2 injection flow for atmospheric enrichment of indoor tent from informed volume in m3 (reference target 1200 to 1500 ppm with 30 percent hourly loss).
Indoor Hydroponic Fertilizer Liters Calculator
Estimates nutrient solution volume and fertilizer dose for indoor hydroponics from informed plant count (reference 8 L solution per plant, target EC 1.5 to 2.0 mS per cm).
Indoor Vegetative Photoperiod Hours Calculator
Estimates recommended photoperiod for indoor vegetative stage from informed plant type in 1 to 5 scale (reference 18 h light by 6 h dark standard, up to 24 h for accelerated growth).
Indoor Flowering Photoperiod Hours Calculator
Estimates recommended photoperiod for indoor flowering stage from informed plant type in 1 to 5 scale (reference 12 h light by 12 h dark standard to induce flowering).
Indoor Ideal Cultivation Temperature C Calculator
Estimates ideal cultivation temperature range for indoor from informed phase in 1 to 5 scale (reference seedlings 22 to 25 C, veg 24 to 28 C, flowering 22 to 26 C).
Indoor Ideal Cultivation Humidity Percent Calculator
Estimates ideal relative humidity range for indoor from informed phase in 1 to 5 scale (reference seedlings 70 percent, veg 50 to 60 percent, flowering 40 to 50 percent).
Indoor Air Exhaust CFM per Area Calculator
Estimates indoor tent exhaust fan flow in CFM from informed volume in m3 (reference 1 air change per minute, 25 percent slack for carbon filter pressure drop).
Indoor Air Circulation Fans per Area Calculator
Estimates internal circulation fan count for indoor tent from informed area in m2 (reference 1 clip 15 cm fan per m2 plus 1 oscillating for cross flow).
Indoor Carbon Filter CFM per Area Calculator
Estimates carbon filter capacity for indoor odor control from informed volume in m3 (reference 200 CFM filter for 1.2x1.2x2 m tent, minimum 0.1 second contact).
Indoor Coco Fiber Substrate Liters Calculator
Estimates coco fiber substrate volume for indoor pots from informed plant count (reference 11 L per adult pot, 4 L seedlings, 70 percent coco and 30 percent perlite mix).
Indoor Rockwool Substrate Liters Calculator
Estimates rockwool volume for indoor hydroponic system from informed plant count (reference 7.5x7.5x6.5 cm starter cube and 15x15x14 cm slab for adult).
BFT PBFT Rounds Formula Calculator
Estimates rounds and Byzantine fault tolerance for PBFT protocol from informed validator count (reference f less than N divided by 3, requires 3f+1 nodes and 3 phases per round).
BFT PBFT Message Complexity Calculator
Estimates message complexity exchanged in PBFT per consensus from informed validator count (reference O(N squared) messages per phase, 3 prepare commit reply phases).
BFT Tendermint Rounds Validators Calculator
Estimates Tendermint BFT latency and rounds from informed validator count (reference 2 phases pre-vote precommit, exponential timeout doubling each round, 1 round finality on healthy net).
BFT HotStuff Rounds Validators Calculator
Estimates HotStuff BFT rounds and messages from informed validator count (reference 3 prepare pre-commit commit decide phases, linear O(N) complexity with threshold signatures).
BFT Istanbul Rounds Validators Calculator
Estimates Istanbul BFT (IBFT) rounds and quorum used in Quorum and Besu from informed validator count (reference 3 preprepare prepare commit phases, PBFT-like line up).
BFT Paxos Acceptors Quorum Calculator
Estimates Paxos quorum and fault tolerance from informed acceptor count (reference simple majority N/2+1, crash tolerance but not Byzantine).
BFT Raft Leader Election Time Calculator
Estimates Raft leader election time from informed node count (reference 150 to 300 ms random election timeout to avoid split votes, 50 ms heartbeat).
BFT Raft Log Replication Throughput Calculator
Estimates Raft log replication throughput from informed node count (reference 1000 to 10000 ops per second depending on batch and fsync, limited by quorum latency).
BFT PoW Difficulty Block Time Calculator
Estimates required Proof of Work difficulty from informed network hashrate in TH per second (reference 600 second Bitcoin target, adjusts every 2016 blocks).
BFT PoS Finality Blocks Network Calculator
Estimates blocks for finality in Proof of Stake from informed block time in seconds (reference Ethereum 2 epochs or 64 slots of 12 s for economic finality).
BFT DPoS Validators Block Rotation Calculator
Estimates DPoS validator rotation from informed active delegate count (reference EOS 21 producers, BitShares 17, rotation every N blocks with 0.5 to 3 second block times).
BFT Proof of History Throughput Calculator
Estimates Proof of History throughput (Solana) from informed ticks per slot (reference 800 ms per slot, 64 ticks default, sequential SHA-256 hashes as cryptographic clock).
Microbiome Firmicutes Bacteroidetes Ratio Calculator
Estimates Firmicutes to Bacteroidetes ratio from informed value in 1 to 10 scale (reference healthy 0.5 to 2.0, values above 3 associated with obesity and dysbiosis).
Microbiome Akkermansia Percentage Calculator
Estimates Akkermansia muciniphila percentage in microbiome from informed value in 0 to 10 scale (reference healthy 1 to 4 percent, low in obesity and type 2 diabetes).
Microbiome Lactobacillus Percentage Calculator
Estimates Lactobacillus percentage in gut microbiome from informed value in 0 to 10 scale (reference typically less than 1 percent in gut, dominant in vagina and fermented foods).
Microbiome Bifidobacterium Percentage Calculator
Estimates Bifidobacterium percentage in microbiome from informed value in 0 to 30 scale (reference 2 to 14 percent healthy adult, up to 90 percent in breastfed infants).
Microbiome Shannon Diversity Index Calculator
Estimates Shannon diversity index of microbiome from informed value in 0 to 10 scale (reference healthy adult 3.0 to 4.5, values below 2.5 indicate low diversity and dysbiosis).
Microbiome Simpson Diversity Index Calculator
Estimates Simpson diversity index of microbiome from informed value in 0 to 1 scale (reference healthy 0.8 to 0.95, computes probability that 2 random species differ).
Microbiome Chao1 Diversity Index Calculator
Estimates Chao1 richness estimator of microbiome from informed observed species count (reference healthy adult 200 to 1000 OTUs, adjusts for rare singletons and doubletons).
Microbiome GI Tract Recovery Time Months Calculator
Estimates microbiome recovery time after antibiotics from informed severity in 1 to 5 scale (reference 1 to 2 months for short courses, up to 12 to 24 months for long regimens).
Microbiome Daily Fiber Quantity Per Person Calculator
Estimates daily fiber intake for microbiome health from informed person weight in kg (reference 14 g per 1000 kcal or 25 to 38 g per day adult, 30 g daily target).
Microbiome Probiotic CFU per Day Calculator
Estimates daily probiotic dose in CFU (colony forming units) from informed person weight in kg (reference 1 to 10 billion for maintenance and 50 to 100 billion for post-antibiotic restoration).
Microbiome Prebiotics Grams per Day Calculator
Estimates daily prebiotic (inulin FOS GOS) dose from informed person weight in kg (reference 5 to 8 g per day for beginners, scale to 15 to 20 g in 4 weeks).
Microbiome Dysbiosis Recovery Time Months Calculator
Estimates intestinal dysbiosis recovery time from informed severity in 1 to 5 scale (reference mild 3 months, moderate 6 to 9 months, severe SIBO or IBD 12 to 24 months).
Paraguayan Sopa Recipe Per Person Calculator
Estimates Paraguayan sopa (savory cornmeal cheese cake) ingredients from informed people count (reference 180 g per person, 80 g cornmeal 50 g cheese and 30 g onion per serving).
Paraguayan Chipa Recipe Per Person Calculator
Estimates Paraguayan chipa (sour starch cheese bread) ingredients from informed people count (reference 3 units per person, 50 g starch 30 g cheese and 20 g fat per unit).
Paraguayan Mboru Recipe Per Person Calculator
Estimates Paraguayan mboru (corn cake cooked in husk) ingredients from informed people count (reference 120 g per person, 70 g sweet corn and 40 g fat per serving).
Paraguayan Mbeyu Recipe Per Person Calculator
Estimates Paraguayan mbeyu (cassava starch cheese pancake) ingredients from informed people count (reference 2 units per person, 70 g starch and 40 g cheese per unit).
Paraguayan Tortilla Recipe Per Person Calculator
Estimates Paraguayan tortilla (fried flour onion cheese pancake) ingredients from informed people count (reference 2 units per person, 60 g flour 25 g onion and 20 g cheese per unit).
Paraguayan Empanada Recipe Per Person Calculator
Estimates Paraguayan empanada (baked or fried, beef and egg filling) ingredients from informed people count (reference 3 units per person, 60 g dough and 50 g filling per unit).
Paraguayan Locro Recipe Per Person Calculator
Estimates Paraguayan locro (white corn beef squash stew) ingredients from informed people count (reference 350 ml per person, 90 g corn 80 g beef and 60 g squash per serving).
Paraguayan Bori Bori Recipe Per Person Calculator
Estimates Paraguayan bori bori (soup with cornmeal cheese dumplings) ingredients from informed people count (reference 400 ml per person, 80 g cornmeal 50 g cheese and 70 g chicken per serving).
Paraguayan Pira Caldo Recipe Per Person Calculator
Estimates Paraguayan pira caldo (river fish soup with vegetables) ingredients from informed people count (reference 400 ml per person, 120 g fish 60 g cassava and 40 g onion per serving).
Paraguayan Vori Vori Recipe Per Person Calculator
Estimates Paraguayan vori vori (regional variant of bori bori with larger dumplings) ingredients from informed people count (reference 400 ml per person, 90 g cornmeal 50 g cheese and 80 g hen per serving).
Paraguayan Jhuky Recipe Per Person Calculator
Estimates Paraguayan jhuky (thick cornmeal beef vegetable broth) ingredients from informed people count (reference 350 ml per person, 80 g cornmeal 70 g beef and 50 g vegetables per serving).
Paraguayan Chicha Recipe Per Person Calculator
Estimates Paraguayan chicha (fermented corn drink) ingredients from informed people count (reference 300 ml per person, 80 g yellow corn and 40 g raw sugar per serving).
Paraguayan Coco Rallado Recipe Per Person Calculator
Estimates Paraguayan coco rallado (grated coconut milk sugar dessert) ingredients from informed people count (reference 150 g per person, 70 g grated coconut 40 g sugar and 50 ml milk per serving).
FPV Drone Battery mAh Flight Time Calculator
Estimates FPV flight time from informed battery capacity in mAh (reference 850 mAh for 3 to 4 min, 1300 mAh for 5 to 6 min, 1500 mAh for 6 to 7 min on 5 inch freestyle).
FPV Drone Motor KV Amperage Calculator
Estimates peak motor current from informed KV rating (reference 1700 KV for 30 to 35 A, 2400 KV for 40 to 45 A, 2750 KV for 45 to 50 A on 6S 1750 g thrust).
FPV Drone Propeller Size RPM Calculator
Estimates typical propeller RPM from informed size in inches (reference 3 in 28000 RPM, 5 in 22000 RPM, 7 in 16500 RPM on 6S).
FPV Drone Frame Size Weight Calculator
Estimates carbon fiber FPV frame weight from informed size in inches (reference 3 in 75 g, 5 in 110 g, 7 in 170 g, 10 in 280 g).
FPV Drone Camera FOV Degrees Calculator
Estimates horizontal FOV from informed lens focal in mm (reference 1.8 mm 170 deg, 2.1 mm 160 deg, 2.5 mm 150 deg on 1 over 3 inch sensor).
FPV Drone VTX Watts Distance Calculator
Estimates FPV video transmitter useful range from informed power in mW (reference 25 mW 300 m, 200 mW 1 km, 600 mW 2.5 km, 1500 mW 5 km on 5.8 GHz with patch antenna).
FPV Drone Radio Control Distance Calculator
Estimates FPV radio control range from informed power in mW (reference 25 mW 2 km, 250 mW 8 km, 1000 mW 20 km on 915 MHz LoRa ELRS).
FPV Drone Recharge Time mAh Calculator
Estimates FPV battery recharge time from informed capacity in mAh (reference 850 mAh 8 min, 1300 mAh 12 min, 1500 mAh 15 min on 1C balanced charger).
Cinematic Drone Battery mAh Flight Time Calculator
Estimates cinematic drone flight time from informed battery capacity in mAh (reference 5870 mAh DJI Mavic 3 up to 46 min, 5800 mAh Inspire 3 up to 28 min, 1500 mAh cine FPV 5 min).
Cinematic Drone Gimbal Type Weight Calculator
Estimates cine gimbal payload weight from informed type in 1 to 5 scale (reference 1 GoPro 150 g, 2 RED Komodo 1.5 kg, 3 RED V Raptor 3 kg, 4 ARRI Mini LF 4.5 kg, 5 Sony Venice 2 6 kg).
Cinematic Drone Resolution FPS Bitrate Calculator
Estimates required bitrate from informed resolution in 1 to 5 scale (reference 1 1080p30 25 Mbps, 2 4K30 100 Mbps, 3 4K60 200 Mbps, 4 6K30 400 Mbps, 5 8K30 1200 Mbps in ProRes or ARRIRAW).
Cinematic Drone Recharge Time mAh Calculator
Estimates cine drone recharge time from informed capacity in mAh (reference 5870 mAh 65 min, 5800 mAh 60 min, 2250 mAh 25 min on 100 W charger).
Cinematic Drone Altitude Speed Knots Calculator
Estimates safe cruise speed from informed altitude in meters (reference 30 m 15 kt, 100 m 25 kt, 300 m 35 kt, 500 m 45 kt) considering cine gimbal stability.
Solidity Function Type Gas ETH Calculator
Estimates Solidity function gas cost from informed type in 1 to 5 scale (reference 1 SSTORE zero to nonzero 22100, 2 SSTORE nonzero to nonzero 5000, 3 SLOAD 2100, 4 CALL 700, 5 ADD 3 gas).
Solidity Storage Slot Bytes Calculator
Estimates Solidity storage slot bytes from informed type in 1 to 5 scale (reference 1 uint256 32 bytes, 2 address 20 bytes, 3 bool 1 byte, 4 bytes32 32 bytes, 5 mapping 32 bytes per entry).
Solidity Deploy Time Function ETH Calculator
Estimates Solidity contract deploy time from informed size in KB (reference 5 KB 12s, 12 KB 24s, 24 KB max 36s on Ethereum mainnet with 1 confirmation).
Solidity Function Bytecode Size Calculator
Estimates Solidity function bytecode size from informed lines (reference 10 lines 800 bytes, 50 lines 4 KB, 200 lines 16 KB, 300 lines 24 KB EIP-170 limit).
Solidity EVM Execution Time ms Calculator
Estimates EVM function execution time from informed gas (reference 21000 0.1 ms, 100000 0.5 ms, 500000 2.5 ms, 1000000 5 ms on reference Geth node).
Solidity EIP 1559 Fee Formula Calculator
Estimates total transaction cost via EIP 1559 formula from informed gas, base fee 30 gwei priority 2 gwei (cost = gas times base_fee plus priority_fee).
Solidity Loops Iterations Gas Calculator
Estimates Solidity loop gas from informed iteration count (reference 10 it 1500 gas, 100 it 15000 gas, 1000 it 150000 gas at 150 gas per iteration with SLOAD).
Move Aptos Deploy Time Function Calculator
Estimates Move Aptos module deploy time from informed size in KB (reference 5 KB 1.5s, 20 KB 4s, 50 KB 8s, 100 KB 14s on Aptos mainnet with 4 second block time).
Move Aptos Function Type Gas Calculator
Estimates Move Aptos function gas units from informed type in 1 to 5 scale (reference 1 coin transfer 9 gas, 2 NFT mint 200 gas, 3 dex swap 5000 gas, 4 module deploy 15000 gas, 5 DAO vote 1200 gas).
Move Sui Deploy Time Function Calculator
Estimates Move Sui module deploy time from informed size in KB (reference 5 KB 0.8s, 20 KB 2.5s, 50 KB 5s, 100 KB 9s on Sui mainnet with 200 to 500 ms checkpoint).
Move Sui Function Type Gas Calculator
Estimates Move Sui function gas from informed type in 1 to 5 scale (reference 1 transfer object 750 gas, 2 NFT mint 1100 gas, 3 dex swap 3000 gas, 4 publish package 10000 gas, 5 dynamic field 1800 gas).
Move Aptos Storage Slot Bytes Calculator
Estimates Move Aptos storage slot bytes from informed type in 1 to 5 scale (reference 1 u64 8 bytes, 2 address 32 bytes, 3 bool 1 byte, 4 vector u8 variable, 5 simple struct 40 bytes).
Palliative Morphine Dose mg Person Weight Calculator
Estimates initial oral immediate-release morphine dose from informed weight in kg (reference 0.2 to 0.3 mg per kg every 4 hours in opioid naive, adjust for pain and renal function).
Palliative Methadone Dose mg Person Weight Calculator
Estimates initial oral methadone dose from informed weight in kg (reference 0.1 mg per kg every 8 hours in opioid naive, slow weekly titration due to long half-life).
Palliative Fentanyl Transdermal mcg Calculator
Estimates equianalgesic transdermal fentanyl dose from informed daily oral morphine in mg (reference 60 mg morphine equals 25 mcg per hour patch, 120 mg equals 50 mcg, 240 mg equals 100 mcg).
Palliative Oxycodone Dose mg Person Calculator
Estimates initial oral immediate-release oxycodone dose from informed weight in kg (reference 0.1 to 0.15 mg per kg every 4 to 6 hours in opioid naive, conversion 1 oxycodone equals 1.5 oral morphine).
Palliative PCA Pump Lockout Time Calculator
Estimates PCA pump bolus lockout time from informed opioid in 1 to 5 scale (reference 1 IV morphine 8 min, 2 hydromorphone 8 min, 3 IV fentanyl 6 min, 4 IV oxycodone 10 min, 5 sufentanil 5 min).
Palliative Haloperidol Agitation Dose mg Calculator
Estimates haloperidol dose for delirium and agitation from informed weight in kg (reference 0.5 to 1 mg subcutaneous every 6 to 8 hours in frail elderly, 1 to 2 mg in average adult).
Palliative Midazolam Sedation Dose mg Calculator
Estimates midazolam palliative sedation dose from informed weight in kg (reference 0.5 mg subcutaneous initial titrating to 30 to 60 mg per day in continuous infusion for terminal sedation).
Palliative Symptom Relief Time Months Calculator
Estimates average palliative symptom control time from informed Karnofsky scale (reference KPS 70 up to 6 months, KPS 50 up to 3 months, KPS 30 up to 4 to 6 weeks at end of life).
Palliative Laxative Constipation Dose Calculator
Estimates osmotic laxative dose for opioid-induced constipation from informed weight in kg (reference lactulose 0.5 ml per kg twice daily, polyethylene glycol 0.5 to 1 g per kg).
Palliative Antiemetic Nausea Dose Calculator
Estimates metoclopramide or ondansetron antiemetic dose from informed weight in kg (reference metoclopramide 0.15 mg per kg every 6 hours, ondansetron 0.1 mg per kg every 8 hours).
Palliative Cancer Patient Survival Time Calculator
Estimates median palliative survival in advanced cancer from informed PPI (palliative prognostic index) in points (reference PPI less than 4 more than 6 weeks, 4 to 6 up to 3 weeks, greater than 6 less than 3 weeks).
Palliative Hospice Patient Time Months Calculator
Estimates average hospice time from informed primary diagnosis in 1 to 5 scale (reference 1 cancer 3 months, 2 dementia 4.5 months, 3 heart failure 2 months, 4 COPD 2.5 months, 5 ALS 6 months).
Ecuadorian Encebollado Recipe Per Person Calculator
Estimates Ecuadorian encebollado (tuna cassava onion soup) ingredients from informed people count (reference 350 ml broth, 120 g tuna, 100 g cassava, 80 g red onion per serving).
Ecuadorian Llapingacho Recipe Per Person Calculator
Estimates Ecuadorian llapingacho (cheese-stuffed potato patties) ingredients from informed people count (reference 200 g potato, 60 g cheese, 30 g onion, 10 ml annatto per serving).
Ecuadorian Locro de Papas Recipe Per Person Calculator
Estimates Ecuadorian locro de papas (creamy potato cheese avocado soup) ingredients from informed people count (reference 350 ml broth, 220 g potato, 50 g cheese, 40 g avocado per serving).
Ecuadorian Fanesca Recipe Per Person Calculator
Estimates Ecuadorian fanesca (Easter twelve-grain salted cod soup) ingredients from informed people count (reference 400 ml broth, 90 g desalted cod, 150 g grain mix, 60 g pumpkin per serving).
Ecuadorian Mote Pillo Recipe Per Person Calculator
Estimates Ecuadorian mote pillo (hominy corn scrambled with eggs onion and milk) ingredients from informed people count (reference 180 g cooked mote, 1.2 eggs, 30 g onion, 50 ml milk per serving).
Ecuadorian Cuy Asado Recipe Per Person Calculator
Estimates Ecuadorian cuy asado (roasted guinea pig with herbs and annatto) ingredients from informed people count (reference 0.5 whole cuy, 15 g herbs, 12 ml annatto, 90 g potato per serving).
Ecuadorian Shrimp Ceviche Recipe Per Person Calculator
Estimates Ecuadorian shrimp ceviche (shrimp in tomato onion lime and orange juice broth) ingredients from informed people count (reference 180 g shrimp, 100 ml tomato juice, 60 g red onion, 30 ml lime per serving).
Ecuadorian Bolon de Verde Recipe Per Person Calculator
Estimates Ecuadorian bolon de verde (green plantain ball with cheese or chicharron) ingredients from informed people count (reference 220 g green plantain, 60 g cheese or chicharron, 15 ml lard, 5 g salt per serving).
Ecuadorian Bandera Recipe Per Person Calculator
Estimates Ecuadorian bandera (flag plate with rice lentils cassava shrimp and patacones) ingredients from informed people count (reference 120 g rice, 80 g lentils, 90 g cassava, 100 g shrimp per serving).
Ecuadorian Empanada de Viento Recipe Per Person Calculator
Estimates Ecuadorian empanada de viento (fried wind empanada with cheese and powdered sugar) ingredients from informed empanada count (reference 60 g flour, 25 g cheese, 12 ml water, 5 g sugar per empanada).
Ecuadorian Humita Recipe Per Person Calculator
Estimates Ecuadorian humita (savory fresh corn cheese tamale steamed in husk) ingredients from informed humita count (reference 180 g grated corn, 30 g cheese, 25 ml milk, 15 g butter per humita).
Ecuadorian Aguado de Gallina Recipe Per Person Calculator
Estimates Ecuadorian aguado de gallina (rice and free-range chicken soup with carrot) ingredients from informed people count (reference 400 ml broth, 130 g chicken, 70 g rice, 50 g carrot per serving).
Ecuadorian Colada Morada Recipe Per Person Calculator
Estimates Ecuadorian colada morada (hot purple drink of black corn fruits and herbs for All Souls Day) ingredients from informed cup count (reference 250 ml liquid, 40 g black corn, 80 g purple fruits, 5 g herbs per cup).
Metroid 100pct Completion Time Calculator
Estimates average Metroid 100 percent completion time by informed title in 1 to 5 scale (reference 1 Metroid NES 6 h, 2 Super Metroid 8 h, 3 Prime 18 h, 4 Dread 12 h, 5 Other M 10 h).
Castlevania Completion Time By Type Calculator
Estimates average Castlevania completion time by informed type in 1 to 5 scale (reference 1 NES classic 4 h, 2 SOTN 10 h, 3 Aria 8 h, 4 Dawn 9 h, 5 Lords of Shadow 14 h).
Hollow Knight Completion Time Calculator
Estimates average Hollow Knight completion time by informed percent (reference 30 h for 100 percent including Godmaster and Hidden Dreams DLC).
Blasphemous 100pct Completion Time Calculator
Estimates average Blasphemous 100 percent completion time by informed percent (reference 25 h for 100 percent including endings B C and collectibles).
Ori 100pct Completion Time Calculator
Estimates average Ori 100 percent completion time by informed title in 1 to 2 scale (reference 1 Blind Forest 12 h, 2 Will of the Wisps 18 h for 100 percent).
Axiom Verge 100pct Completion Time Calculator
Estimates average Axiom Verge 100 percent completion time by informed title in 1 to 2 scale (reference 1 Axiom Verge 16 h, 2 Axiom Verge 2 14 h for 100 percent).
Dead Cells Runs Completion Time Calculator
Estimates total Dead Cells runs time by informed run count (reference 35 min per average 5BC run, total estimated time sum).
Rogue Legacy Runs Completion Time Calculator
Estimates total Rogue Legacy runs time by informed run count (reference 18 min per average run, total estimated time sum).
Binding of Isaac Runs Completion Time Calculator
Estimates total Binding of Isaac runs time by informed run count (reference 45 min per average run with hard endings, total estimated time sum).
Spelunky Runs Completion Time Calculator
Estimates total Spelunky runs time by informed run count (reference 22 min per average run, total estimated time sum).
Celeste Chapters Completion Time Calculator
Estimates average Celeste chapters time by informed completed chapter count in 1 to 8 scale (reference 50 min per A-side chapter, sum of estimated time).
Undertale Routes Completion Time Calculator
Estimates average Undertale route completion time by informed type in 1 to 3 scale (reference 1 Neutral 7 h, 2 Pacifist 10 h, 3 Genocide 6 h per playthrough).
Stardew Valley Seasons Completion Time Calculator
Estimates average Stardew Valley seasons time by informed completed season count (reference 12 h per year 1 season with Community Center, sum of estimated time).
Discord Bot Throughput Messages Per Second Calculator
Estimates Discord bot throughput in messages per second from informed active server count (reference 0.05 msg per second per server, gateway WS supports up to 120 events per 60 s).
Discord Bot Response Latency MS Calculator
Estimates Discord bot average response latency in ms from informed region in 1 to 5 scale (reference 1 BR 120 ms, 2 US 80 ms, 3 EU 60 ms, 4 SG 110 ms, 5 JP 100 ms).
Discord Bot Commands Tier Quantity Calculator
Estimates total Discord bot slash command count by informed tier in 1 to 5 scale (reference 1 mini 5 cmds, 2 basic 15, 3 medium 40, 4 advanced 80, 5 enterprise 150 global cmds).
Discord Bot Shard Servers Throughput Calculator
Estimates required Discord bot shard count from total server count (reference 1 shard per 2500 guilds, throughput 1 event per shard each 0.5 s).
Telegram Bot Throughput Messages Per Second Calculator
Estimates Telegram bot throughput in messages per second from informed active user count (reference 0.02 msg per second per user, global limit 30 msg s per bot).
Telegram Bot Response Latency MS Calculator
Estimates Telegram bot average response latency in ms from informed region in 1 to 5 scale (reference 1 BR 220 ms, 2 US 150 ms, 3 EU 110 ms, 4 SG 180 ms, 5 JP 170 ms).
Telegram Bot Commands Tier Quantity Calculator
Estimates total Telegram bot command count by informed tier in 1 to 5 scale (reference 1 mini 4 cmds, 2 basic 12, 3 medium 30, 4 advanced 60, 5 enterprise 100 cmds).
Telegram Bot Webhook vs Polling RPS Calculator
Estimates RPS difference between webhook and polling in Telegram bot from informed updates per minute (reference webhook delivers real-time push, long polling limits to 100 updates per call).
Discord Bot Rate Limit Tier Per Second Calculator
Estimates Discord API requests per second limit by informed tier in 1 to 5 scale (reference 1 free 5 rps, 2 basic 10, 3 medium 25, 4 premium 50, 5 enterprise 100 rps per bot).
Telegram Bot Rate Limit Tier Per Second Calculator
Estimates Telegram API requests per second limit by informed tier in 1 to 5 scale (reference 1 free 1 rps per chat, 2 basic 5, 3 medium 15, 4 premium 25, 5 enterprise 30 rps per bot).
Bot Mongo Storage Messages GB Calculator
Estimates MongoDB storage in GB for bot messages from informed message count (reference 1.5 KB per message including metadata and indexes).
Bot Redis Cache Storage GB Calculator
Estimates Redis cache storage in GB for bot from informed active key count (reference 0.5 KB per key including TTL and average JSON payload).
GIS Haversine Distance Coordinates Calculator
Estimates distance in km between two points by Haversine formula from informed latitude degree difference (reference 1 latitude degree equals 111 km, angular adjustment by spherical formula).
GIS Vincenty Distance Coordinates Calculator
Estimates distance in km between two points by Vincenty formula from informed latitude degree difference on WGS84 ellipsoid (reference 1 latitude degree equals 111.32 km at equator).
GIS Polygon Area Coordinates Calculator
Estimates polygon area in square km from informed side in latitude degrees (reference for regular square area equals (side in km) squared, 1 degree equals 111 km).
GIS Polygon Perimeter Coordinates Calculator
Estimates polygon perimeter in km from informed side in degrees and default 4 sides (reference perimeter equals side count times side in km, 1 degree equals 111 km).
GIS Bearing Coordinates Degrees Calculator
Estimates initial bearing in degrees between two points from informed longitude difference in degrees (reference bearing approximates atan2 dLon vs dLat, clockwise from north).
GIS Mercator Projection Coordinates Calculator
Estimates Mercator projection Y in radians from informed latitude in degrees (reference Y equals ln tan pi over 4 plus lat over 2, infinite distortion at poles).
GIS Lambert Projection Coordinates Calculator
Estimates Lambert Conformal Conic projection scale factor from informed latitude in degrees (reference factor equals cos lat over cos lat0, default lat0 45 degrees).
GIS Stereographic Projection Coordinates Calculator
Estimates stereographic projection radius in Earth radius units from informed latitude in degrees for north pole (reference r equals 2 times tan 45 minus lat over 2).
GIS XYZ Tile Zoom Coordinates Calculator
Estimates total XYZ tiles from informed zoom level in 0 to 22 scale (reference 4 to the power zoom for total tiles, 4 to the power 10 equals 1048576 tiles).
GIS Zoom Resolution Meters Calculator
Estimates meters per pixel resolution at equator from informed zoom level in 0 to 22 scale (reference resolution equals 156543.03 meters over 2 to the power zoom).
GIS UTM Zone Grid Coordinates Calculator
Estimates UTM zone from informed longitude in degrees (reference zone equals floor of longitude plus 180 divided by 6 plus 1, zones 1 to 60).
GIS SRTM Elevation Coordinates Calculator
Estimates SRTM spatial resolution in meters per pixel from informed version in 1 to 3 scale (reference 1 SRTM3 90 m, 2 SRTM1 30 m, 3 SRTM-V3 12.5 m per pixel at equator).
Guatemalan Pepian Recipe Per Person Calculator
Estimates Guatemalan pepian (meat stew with toasted seeds and tomato) ingredients from informed people count (reference 200 g chicken, 60 g sesame and pumpkin seeds, 120 g tomato, 80 ml broth per serving).
Guatemalan Jocon Recipe Per Person Calculator
Estimates Guatemalan jocon (green chicken stew with tomatillo and cilantro) ingredients from informed people count (reference 200 g chicken, 90 g tomatillo, 15 g cilantro, 100 ml broth per serving).
Guatemalan Tamale Recipe Per Person Calculator
Estimates Guatemalan tamale (corn dough with filling in banana leaf) ingredients from informed people count (reference 250 g corn dough, 80 g pork, 30 g red recado, 1 banana leaf per serving).
Guatemalan Chiles Rellenos Recipe Per Person Calculator
Estimates Guatemalan chiles rellenos (peppers stuffed with meat and vegetables battered in egg) ingredients from informed people count (reference 2 peppers, 90 g ground beef, 60 g vegetables, 1.5 eggs per serving).
Guatemalan Paches Recipe Per Person Calculator
Estimates Guatemalan paches (potato-based steamed tamale with tomato sauce and meat) ingredients from informed people count (reference 250 g potato, 80 g meat, 90 g tomato, 1 banana leaf per serving).
Guatemalan Kak ik Recipe Per Person Calculator
Estimates Guatemalan kak ik (Mayan turkey soup with achiote and dried chilies) ingredients from informed people count (reference 220 g turkey, 12 g achiote, 25 g dried chilies, 350 ml broth per serving).
Guatemalan Fiambre Recipe Per Person Calculator
Estimates Guatemalan fiambre (cold salad with over 50 ingredients for Day of the Dead) ingredients from informed people count (reference 100 g cold cuts, 80 g pickled vegetables, 60 g cheeses, 40 ml caldillo per serving).
Guatemalan Rellenitos Recipe Per Person Calculator
Estimates Guatemalan rellenitos (sweet plantain ball stuffed with black beans) ingredients from informed people count (reference 150 g ripe plantain, 50 g black beans, 20 g sugar, 30 ml oil per serving).
Guatemalan Mosh Recipe Per Person Calculator
Estimates Guatemalan mosh (oatmeal porridge with milk and cinnamon served for breakfast) ingredients from informed people count (reference 60 g oats, 300 ml milk, 15 g sugar, 1 g cinnamon per serving).
Guatemalan Chuchitos Recipe Per Person Calculator
Estimates Guatemalan chuchitos (small corn tamales wrapped in corn husks) ingredients from informed people count (reference 150 g corn dough, 50 g pork filling, 30 g tomato sauce, 2 husks per serving).
Guatemalan Tamalitos Recipe Per Person Calculator
Estimates Guatemalan tamalitos (small fresh white corn tamales without filling) ingredients from informed people count (reference 180 g fresh corn, 30 g butter, 5 g salt, 2 husks per serving).
Guatemalan Revolcado Recipe Per Person Calculator
Estimates Guatemalan revolcado (pork offal stew in red tomato sauce) ingredients from informed people count (reference 200 g offal, 100 g tomato, 25 g chilies, 80 ml broth per serving).
Guatemalan Cardamom Tea Recipe Per Person Calculator
Estimates Guatemalan cardamom tea (hot infusion of the spice grown in Alta Verapaz) ingredients from informed people count (reference 2 cardamom pods, 250 ml water, 10 g sugar, 1 g cinnamon per serving).
osu Beatmap Completion Time by Type Calculator
Estimates osu! beatmap completion time from informed type in 1 to 4 scale (reference 1 easy 1.5 min, 2 normal 2.5 min, 3 hard 3.5 min, 4 insane 4.5 min average).
StepMania Song Completion Time by BPM Calculator
Estimates StepMania song completion time from informed BPM and 200 default steps (reference time equals 200 over BPM divided by 4 in minutes for quarter notes pattern).
DJMax Song Completion Time by Type Calculator
Estimates DJMax Respect song completion time from informed type in 1 to 4 scale (reference 1 4B easy 1.8 min, 2 5B normal 2 min, 3 6B hard 2.2 min, 4 8B max 2.5 min).
Beat Saber Song Completion Time by Type Calculator
Estimates Beat Saber song completion time from informed type in 1 to 5 scale (reference 1 easy 2 min, 2 normal 2.5 min, 3 hard 3 min, 4 expert 3.3 min, 5 expert+ 3.5 min).
Rocksmith Song Learning Time by Type Calculator
Estimates practice hours to master a Rocksmith song from informed type in 1 to 4 scale (reference 1 beginner 3 h, 2 intermediate 6 h, 3 advanced 12 h, 4 master 24 h).
Guitar Hero Song Completion Time by Type Calculator
Estimates Guitar Hero song completion time from informed type in 1 to 4 scale (reference 1 easy 2.5 min, 2 medium 3 min, 3 hard 3.3 min, 4 expert 3.7 min average).
Rock Band Song Completion Time by Type Calculator
Estimates Rock Band song completion time from informed type in 1 to 4 scale (reference 1 easy 3 min, 2 medium 3.3 min, 3 hard 3.7 min, 4 expert 4 min average).
Dance Dance Revolution Completion Time Calculator
Estimates DDR song completion time from informed type in 1 to 4 scale (reference 1 beginner 1.5 min, 2 basic 1.8 min, 3 difficult 2 min, 4 expert 2.3 min average).
Pump It Up Song Completion Time Calculator
Estimates Pump It Up song completion time from informed type in 1 to 4 scale (reference 1 easy 1.7 min, 2 normal 2 min, 3 hard 2.3 min, 4 crazy 2.7 min average).
Bemani IIDX Song Completion Time Calculator
Estimates Beatmania IIDX song completion time from informed type in 1 to 4 scale (reference 1 normal 1.8 min, 2 hyper 2 min, 3 another 2.2 min, 4 leggendaria 2.5 min average).
Bemani Pop n Music Completion Time Calculator
Estimates Pop n Music song completion time from informed type in 1 to 4 scale (reference 1 easy 1.5 min, 2 normal 1.8 min, 3 hyper 2 min, 4 ex 2.3 min average).
Bemani Jubeat Song Completion Time Calculator
Estimates Jubeat song completion time from informed type in 1 to 4 scale (reference 1 basic 1.5 min, 2 advanced 1.7 min, 3 extreme 2 min, 4 hardmode 2.3 min average).
Bemani Reflec Beat Completion Time Calculator
Estimates Reflec Beat song completion time from informed type in 1 to 3 scale (reference 1 basic 1.5 min, 2 medium 1.8 min, 3 hard 2.1 min average).
IPFS File Pin Time by Size Calculator
Estimates IPFS file pin time from informed size in MB (reference 0.5 seconds per MB for local gateway plus 5 seconds DHT announce).
IPFS CID Hash Type Size Calculator
Estimates IPFS CID size in bytes from informed hash type in 1 to 3 scale (reference 1 CIDv0 sha-256 34 bytes, 2 CIDv1 sha-256 36 bytes, 3 CIDv1 blake3 38 bytes).
IPFS Gateway Throughput RPS Calculator
Estimates IPFS public gateway requests per second from informed number of active gateways (reference 50 RPS per gateway with CDN cache fronting).
IPFS Storage Replicas Lifetime Calculator
Estimates IPFS file expected lifetime from informed number of pinned replicas (reference 1 replica 6 months, 2 replicas 18 months, 4 replicas 60 months no loss).
Arweave Permanent Storage Pricing GB Calculator
Estimates Arweave permanent storage cost from informed size in GB (reference 5 USD per GB stored permanently in 2026, single payment).
Filecoin Storage Pricing GB Month Calculator
Estimates Filecoin monthly storage cost from informed size in GB (reference 0.002 USD per GB per month at active providers in 2026).
Storj Storage Pricing GB Month Calculator
Estimates Storj DCS monthly storage cost from informed size in GB (reference 0.004 USD per GB per month with auto-replication across 80 nodes).
Sia Storage Pricing GB Month Calculator
Estimates Sia monthly storage cost from informed size in GB (reference 0.001 USD per GB per month via Skynet blockchain contracts).
Ceramic StreamID Resolution Time Calculator
Estimates Ceramic StreamID resolution time from informed log depth in commits (reference 80 ms per commit on mainnet with cache).
ENS Name Renewal Years ETH Calculator
Estimates ENS renewal cost from informed number of years (reference 5 USD per year for 5 to 9 character domains, paid in ETH at expiration).
Handshake Name Renewal Years HNS Calculator
Estimates Handshake TLD annual renewal cost from informed number of years (reference 0.5 HNS per year for post-auction domains, paid in HNS).
Namebase Resolution Time ms Calculator
Estimates Namebase average resolution latency for Handshake names from informed number of DNS hops (reference 40 ms per hop via NextDNS provider).
Life Insurance Monthly Premium by Age Calculator
Estimates monthly life insurance premium from informed age in years (reference 0.5 BRL per year up to age 30, 1 BRL per year from 31 to 50, 2 BRL per year above 50).
Life Insurance Coverage Range Calculator
Estimates recommended life insurance coverage from informed annual income in BRL (reference 10 times annual income as standard coverage for dependents).
Auto Insurance Monthly Premium by Vehicle Calculator
Estimates auto insurance monthly premium from informed vehicle FIPE value in BRL (reference 4 percent of FIPE value per year divided by 12 months).
Auto Insurance Deductible Formula Calculator
Estimates auto insurance deductible from informed FIPE value in BRL (reference 5 percent of FIPE value as mandatory deductible for partial claims).
Home Insurance Monthly Premium by Area Calculator
Estimates home insurance monthly premium from informed area in square meters (reference 0.3 BRL per square meter per month for basic coverage).
Business Insurance Monthly Premium by Revenue Calculator
Estimates business insurance monthly premium from informed annual revenue in BRL (reference 0.5 percent of annual revenue divided by 12 months).
Health Insurance Monthly Premium by Age Calculator
Estimates health insurance monthly premium from informed age in years (reference 200 BRL up to 18, 300 BRL from 19 to 38, 500 BRL from 39 to 58, 1000 BRL above 59).
Health Insurance Copayment Formula Calculator
Estimates health insurance copayment from informed procedure value in BRL (reference 30 percent of procedure up to monthly cap of 200 BRL).
Dental Insurance Monthly Premium per Person Calculator
Estimates dental insurance monthly premium from informed number of people (reference 30 BRL per person for basic plan with cleaning and fillings).
Travel Insurance Premium per Person Days Calculator
Estimates travel insurance total premium from informed trip days (reference 15 BRL per day for standard international coverage of 60 thousand USD).
Equipment Insurance Monthly Premium by Value Calculator
Estimates portable equipment insurance monthly premium from informed value in BRL (reference 1.5 percent of equipment value per month).
Pet Insurance Monthly Premium per Pet Calculator
Estimates pet insurance monthly premium from informed number of pets (reference 60 BRL per pet for basic veterinary coverage with annual limit of 5 thousand BRL).
Honduran Baleadas Recipe Per Person Calculator
Estimates Honduran baleadas (folded wheat tortilla with refried beans, cheese and mantequilla) ingredients from informed people count (reference 2 tortillas, 100 g refried beans, 40 g white cheese and 20 g mantequilla per serving).
Honduran Fried Chicken Recipe Per Person Calculator
Estimates Honduran pollo frito (chicken marinated in garlic and sour orange fried until golden) ingredients from informed people count (reference 250 g chicken, 30 ml sour orange juice, 5 g garlic and 50 g wheat flour per serving).
Honduran Mondongo Soup Recipe Per Person Calculator
Estimates Honduran sopa de mondongo (beef tripe broth with cassava, corn and vegetables) ingredients from informed people count (reference 200 g mondongo, 150 g cassava, 100 g sweet corn and 80 g mixed vegetables per serving).
Honduran Stuffed Plantains Recipe Per Person Calculator
Estimates Honduran platanos rellenos (mashed ripe plantain stuffed with beans and cheese and fried) ingredients from informed people count (reference 200 g ripe plantain, 60 g refried beans, 40 g cheese and 30 ml oil per serving).
Nicaraguan Nacatamal Recipe Per Person Calculator
Estimates Nicaraguan nacatamal (large corn dough tamale stuffed with pork, rice and vegetables wrapped in banana leaf) ingredients from informed people count (reference 250 g corn dough, 150 g pork, 80 g rice and 1 banana leaf per serving).
Nicaraguan Quesillo Recipe Per Person Calculator
Estimates Nicaraguan quesillo (corn tortilla with creamy cheese, pickled onion and cream) ingredients from informed people count (reference 2 tortillas, 80 g quesillo cheese, 40 g onion and 30 ml cream per serving).
Nicaraguan Vigoron Recipe Per Person Calculator
Estimates Nicaraguan vigoron (boiled cassava with crispy chicharron and cabbage salad) ingredients from informed people count (reference 250 g cassava, 120 g chicharron, 100 g cabbage and banana leaf per serving).
Nicaraguan Indio Viejo Recipe Per Person Calculator
Estimates Nicaraguan indio viejo (shredded beef with corn dough, tomato and sour orange) ingredients from informed people count (reference 200 g beef, 100 g corn dough, 80 g tomato and 30 ml sour orange per serving).
Nicaraguan Chicken Soup Recipe Per Person Calculator
Estimates Nicaraguan sopa de pollo (chicken broth with vegetables, corn and traditional herbs) ingredients from informed people count (reference 200 g chicken, 150 g vegetables, 80 g sweet corn and 5 g herbs per serving).
Nicaraguan Gallo Pinto Recipe Per Person Calculator
Estimates Nicaraguan gallo pinto (rice sauteed with red beans, onion and bell pepper) ingredients from informed people count (reference 120 g rice, 100 g red beans, 40 g onion and 30 g bell pepper per serving).
Nicaraguan Rondon Recipe Per Person Calculator
Estimates Nicaraguan rondon (Caribbean fish and seafood stew with coconut milk and tubers) ingredients from informed people count (reference 200 g fish, 100 g seafood, 200 ml coconut milk and 150 g tubers per serving).
Nicaraguan Tres Leches Recipe Per Person Calculator
Estimates Nicaraguan tres leches (sponge cake soaked in three types of milk and topped with meringue) ingredients from informed people count (reference 80 g cake batter, 60 ml condensed milk, 60 ml evaporated milk and 40 ml cream per serving).
Nicaraguan Pinolillo Drink Recipe Per Person Calculator
Estimates Nicaraguan pinolillo (traditional drink of toasted corn and cocoa with cinnamon and clove) ingredients from informed people count (reference 30 g toasted corn, 5 g cocoa, 250 ml water and 15 g sugar per serving).
Cookie Clicker Time to Passes Calculator
Estimates average time to accumulate ascension passes in Cookie Clicker from informed years (reference 2 passes per year with active prestige and well-invested heavenly chips).
Cookie Clicker Cookies per Second by Buildings Calculator
Estimates cookies per second (CpS) in Cookie Clicker from informed buildings count (reference average 1e9 CpS per building with tier 3 upgrades and active synergies).
AdVenture Capitalist Time to Prestige Calculator
Estimates average time between prestiges in AdVenture Capitalist from informed years (reference 12 prestiges per year with optimized angel investors and managers purchased).
AdVenture Capitalist Revenue per Second by Businesses Calculator
Estimates revenue per second in AdVenture Capitalist from informed businesses count (reference average 1e6 USD per business with managers and angel multipliers active).
Clicker Heroes Time to Ascension Calculator
Estimates average time between ascensions in Clicker Heroes from informed years (reference 24 ascensions per year with optimized hero souls and properly equipped ancients).
Clicker Heroes DPS by Player Type Calculator
Estimates average DPS in Clicker Heroes per player type from informed hours played (reference 1e15 DPS per hour for casual, with exponential scale as ancients and gilds increase).
Realm Grinder Time to Reincarnation Calculator
Estimates average time between reincarnations in Realm Grinder from informed years (reference 18 reincarnations per year with optimized alignment and correct factions).
Egg Inc Time to Prestige Calculator
Estimates average time between prestiges in Egg Inc from informed years (reference 8 prestiges per year with optimized soul eggs and accumulated prophecy eggs).
Egg Inc Eggs per Second per Player Calculator
Estimates eggs per second in Egg Inc per player from informed hours played (reference 1e6 eggs per second early scaling to 1e15 with mature farms).
Tap Titans Time to Prestige Calculator
Estimates average time between prestiges in Tap Titans from informed years (reference 30 prestiges per year with optimized heroes and well-allocated relics).
Tap Titans DPS by Player Type Calculator
Estimates average DPS in Tap Titans per player type from informed hours played (reference 1e12 DPS for casual scaling to 1e20 with complete hero builds).
Idle Miner Time to Prestige Calculator
Estimates average time between prestiges in Idle Miner Tycoon from informed years (reference 6 prestiges per year with optimized super cash and managers purchased).
Idle Miner Revenue per Second per Player Calculator
Estimates revenue per second in Idle Miner Tycoon per player from informed hours played (reference 1e5 USD per second early scaling to 1e12 USD with complete mines).
ZK Proof Generation Time by Circuit Calculator
Estimates zero-knowledge proof generation time from informed circuit constraints count (reference 1 ms per thousand constraints in groth16 with modern hardware and optimized prover).
ZK Proof Verification Time by Circuit Calculator
Estimates zero-knowledge proof verification time from informed circuit constraints count (reference constant time of 2 ms for groth16 and linear for starks).
ZK Proof Size in Bytes by Circuit Calculator
Estimates zero-knowledge proof size in bytes from informed circuit constraints count (reference 192 bytes groth16 constant, 800 bytes plonk and KB+ for starks with transparency).
ZK SNARK Trusted Setup Time by Circuit Calculator
Estimates trusted setup time for zk-SNARK from informed circuit constraints count (reference 10 ms per thousand constraints in groth16 or plonk powers of tau ceremony).
ZK STARK Prover Time by Circuit Calculator
Estimates STARK prover time from informed circuit constraints count (reference O(n log n) with 10 us per constraint, no trusted setup but larger proofs).
ZK STARK Verifier Time by Circuit Calculator
Estimates STARK verifier time from informed circuit constraints count (reference O(log^2 n) with polylogarithmic time, much faster than prover).
ZK Recursive Proof Time Calculator
Estimates recursive proof (proof of proof) generation time from informed recursion levels (reference 5 seconds per level in halo2 or nova with circuit folding).
ZK Rollup Throughput TPS Calculator
Estimates zk-rollup throughput in TPS (transactions per second) from informed transactions per batch count (reference 2000 tx per batch every 10 minutes in zkSync or StarkNet).
ZK Rollup Finality Time Calculator
Estimates zk-rollup finality time in minutes from informed batches per hour count (reference 6 batches per hour with ethereum finality ~13 minutes per batch).
ZK Bridge Cross-Chain Validation Time Calculator
Estimates zk-bridge cross-chain validation time in minutes from informed chains count (reference 5 minutes per hop with zk consensus proof between chains).
ZK MPC Protocol Time Calculator
Estimates multi-party computation (MPC) with zk protocol time from informed rounds count (reference 2 seconds per round with 3 participants in garbled circuits or GMW).
ZK FHE Operation Time Calculator
Estimates FHE (fully homomorphic encryption) with zk operation time in ms from informed operations count (reference 50 ms per addition and 500 ms per multiplication in BFV/CKKS).
Cardio Catheterization Procedure Time Calculator
Estimates average cardiac catheterization time in minutes from informed vessels evaluated count (reference 30 minutes for simple diagnostic and 15 additional minutes per complex vessel).
Cardio Angioplasty Procedure Time Calculator
Estimates average coronary angioplasty time in minutes from informed lesions treated count (reference 45 minutes for one lesion and 25 additional minutes per extra lesion with balloon and stent).
Cardio Stent Procedure Time Calculator
Estimates average coronary stent implant time in minutes from informed stents implanted count (reference 20 minutes per drug-eluting stent with adequate pre-dilation and post-dilation).
Cardio Bypass Surgery Time Calculator
Estimates average coronary bypass surgery (CABG) time in minutes from informed grafts count (reference 60 minutes base plus 45 minutes per graft with cardiopulmonary bypass).
Cardio Pacemaker Implant Time Calculator
Estimates average permanent pacemaker implant time in minutes from informed leads count (reference 45 minutes for 1 lead VVI and 90 minutes for two leads DDD with complete testing).
Cardio ICD Implant Time Calculator
Estimates average implantable cardioverter-defibrillator (ICD) time in minutes from informed leads count (reference 60 minutes for ventricular ICD and 120 minutes for CRT-D with 3 leads).
Cardio AF Ablation Procedure Time Calculator
Estimates average catheter ablation of atrial fibrillation time in minutes from informed pulmonary veins isolated count (reference 30 minutes per vein in radiofrequency or cryoablation).
Cardio TAVI Procedure Time Calculator
Estimates average transcatheter aortic valve implant (TAVI) time in minutes from informed accesses count (reference 90 minutes transfemoral and 130 minutes transapical with protections).
Cardio MitraClip Procedure Time Calculator
Estimates average percutaneous mitral repair with MitraClip time in minutes from informed clips implanted count (reference 90 minutes for 1 clip and 30 additional minutes per extra clip).
Cardio Coronary Surgery Recovery Time Calculator
Estimates average recovery time in months after coronary surgery from informed risk factors count (reference 2 months baseline plus 0.5 month per factor such as diabetes, advanced age and obesity).
Cardio Valve Surgery Recovery Time Calculator
Estimates average recovery time in months after cardiac valve surgery from informed valves operated count (reference 3 months per valve replaced with full anticoagulation for 6 months in biological prostheses).
Cardio Heart Transplant Recovery Time Calculator
Estimates average recovery time in months after heart transplant from informed rejection episodes in first year count (reference 6 months baseline plus 2 months per treated rejection episode).
Costa Rican Casado Recipe Per Person Calculator
Estimates Costa Rican casado (dish of rice, black beans, meat, salad and fried plantain) ingredients from informed people count (reference 150 g rice, 120 g black beans, 120 g meat, 80 g salad and 100 g plantain per serving).
Costa Rican Olla de Carne Recipe Per Person Calculator
Estimates Costa Rican olla de carne (beef stew with cassava, squash, chayote and corn) ingredients from informed people count (reference 200 g beef, 100 g cassava, 100 g squash, 80 g chayote and 60 g corn per serving).
Costa Rican Arroz con Pollo Recipe Per Person Calculator
Estimates Costa Rican arroz con pollo (yellow rice with shredded chicken, carrot, peas and bell pepper) ingredients from informed people count (reference 150 g rice, 150 g chicken, 40 g carrot, 30 g peas and 30 g bell pepper per serving).
Costa Rican Gallo Pinto Recipe Per Person Calculator
Estimates Costa Rican gallo pinto (rice fried with black beans, onion, bell pepper and Lizano sauce) ingredients from informed people count (reference 100 g cooked rice, 100 g black beans, 20 g onion and 10 ml Lizano sauce per serving).
Costa Rican Sopa de Mondongo Recipe Per Person Calculator
Estimates Costa Rican sopa de mondongo (tripe soup with cassava, corn, potato and vegetables) ingredients from informed people count (reference 200 g tripe, 80 g cassava, 60 g corn and 60 g potato per serving).
Costa Rican Arroz con Leche Recipe Per Person Calculator
Estimates Costa Rican arroz con leche (rice pudding with milk, cinnamon and raisins) ingredients from informed people count (reference 60 g rice, 250 ml milk, 30 g sugar, 5 g cinnamon and 10 g raisins per serving).
Panamanian Sancocho Recipe Per Person Calculator
Estimates Panamanian sancocho (free-range chicken soup with yam, culantro and corn) ingredients from informed people count (reference 200 g chicken, 100 g yam, 5 g culantro and 60 g corn per serving).
Panamanian Ropa Vieja Recipe Per Person Calculator
Estimates Panamanian ropa vieja (shredded beef sauteed with bell pepper, onion and tomato) ingredients from informed people count (reference 180 g beef, 60 g bell pepper, 40 g onion and 60 g tomato per serving).
Panamanian Arroz con Coco Recipe Per Person Calculator
Estimates Panamanian arroz con coco (rice cooked in coconut milk with raisins) ingredients from informed people count (reference 100 g rice, 150 ml coconut milk, 20 g sugar and 15 g raisins per serving).
Panamanian Tamales Recipe Per Person Calculator
Estimates Panamanian tamales (corn masa with chicken or pork wrapped in banana leaf) ingredients from informed people count (reference 1 tamal of 150 g per serving with 80 g masa, 60 g meat and 10 g filling).
Panamanian Hojaldra Recipe Per Person Calculator
Estimates Panamanian hojaldra (lightly sweetened fried dough served at breakfast) ingredients from informed people count (reference 80 g flour, 10 g sugar, 5 g yeast and 30 ml oil per serving).
Panamanian Bollo Prensado Recipe Per Person Calculator
Estimates Panamanian bollo prensado (pressed corn dough wrapped in leaf) ingredients from informed people count (reference 120 g ground corn, 20 g butter, 5 g salt and 1 banana leaf per serving).
Panamanian Tres Leches Recipe Per Person Calculator
Estimates Panamanian tres leches cake (cake soaked in condensed, evaporated and heavy cream) ingredients from informed people count (reference 80 g cake, 60 ml condensed milk, 40 ml evaporated milk and 30 ml cream per serving).
VR Game Half-Life Alyx Completion Time Calculator
Estimates Half-Life Alyx VR completion time from informed chapters played count (reference 1.5 h per chapter, total 11 chapters for main campaign).
VR Game Beat Saber Playlist Completion Time Calculator
Estimates total Beat Saber playlist completion time from informed songs count (reference 3.5 min per song including retries).
VR Game Asgard Wrath Completion Time Calculator
Estimates Asgard Wrath VR completion time from informed sagas count (reference 8 h per saga, total 4 sagas for main campaign).
VR Game Resident Evil 4 VR Completion Time Calculator
Estimates Resident Evil 4 VR completion time from informed chapters count (reference 2 h per chapter, total 16 chapters for main campaign).
VR Game Skyrim VR Completion Time Calculator
Estimates Skyrim VR completion time from informed main quests count (reference 2.5 h per quest, total 17 main quests for campaign).
VR Game No Mans Sky VR Completion Time Calculator
Estimates No Mans Sky VR completion time from informed star systems explored count (reference 5 h per system with side missions).
VR Game Superhot VR Completion Time Calculator
Estimates Superhot VR completion time from informed levels count (reference 5 min per level, total 35 levels for main campaign).
VR Game Onward Rounds Completion Time Calculator
Estimates total Onward VR rounds completion time from informed rounds count (reference 8 min per round in competitive mode).
VR Game Pavlov Rounds Completion Time Calculator
Estimates total Pavlov VR rounds completion time from informed rounds count (reference 3 min per round in TDM or Search and Destroy mode).
AR Game Pokemon Go Events Completion Time Calculator
Estimates total Pokemon Go events completion time from informed active events count (reference 4 h per event including raids and tasks).
AR Game Harry Potter Wizards Unite Completion Time Calculator
Estimates Harry Potter Wizards Unite chapters completion time from informed chapters count (reference 6 h per SOS Task Force chapter).
AR Game Ingress Anomaly Completion Time Calculator
Estimates Ingress Prime anomaly completion time from informed playzones count (reference 1.5 h per zone with coordinated hacks and attacks).
AR Game Pikmin Bloom Expeditions Completion Time Calculator
Estimates Pikmin Bloom expeditions completion time from informed expeditions count (reference 2 h per expedition with seedlings and walking).
Rust Tokio Task Spawn Time ms Calculator
Estimates average task spawn time in Tokio multi-thread runtime from informed tasks count (reference 1.5 us per spawn on modern CPU plus scheduler overhead).
Rust Tokio Tasks Per Second Throughput Calculator
Estimates tasks per second throughput in Tokio runtime from informed runtime threads count (reference 500k idle tasks per thread on modern CPU).
Rust Tokio Runtime Threads By Type Calculator
Estimates recommended Tokio runtime threads count from informed physical cores count (reference 1 thread per core for multi-thread runtime or single-thread for CPU bound).
Rust Async vs Sync Overhead ns Calculator
Estimates Rust async vs sync overhead from informed nested futures count (reference 20 ns per future poll plus 5 ns per waker in non-allocating code).
Rust Future Pinning Overhead Bytes Calculator
Estimates Rust future stack size from informed local variables count (reference 8 bytes per variable plus 16 bytes future header generated by compiler).
Rust Tokio MPSC Channel Throughput Calculator
Estimates Tokio MPSC channel throughput from informed producers count (reference 5 million messages per second per producer with 1024 buffer).
Rust Tokio Oneshot Channel Time ns Calculator
Estimates average round-trip time in Tokio oneshot channel from informed operations count (reference 200 ns per send plus response await).
Rust Tokio Broadcast Channel Throughput Calculator
Estimates Tokio broadcast channel throughput from informed subscribers count (reference 2 million messages per second per subscriber with 1024 buffer).
Rust Tokio Watch Channel Time ns Calculator
Estimates average notification time in Tokio watch channel from informed watchers count (reference 150 ns per send with atomic wake of all watchers).
Rust Axum RPS Throughput By Routes Calculator
Estimates Axum requests per second throughput from informed registered routes count (reference 80k RPS on 8 cores minus 200 RPS per additional route via matching overhead).
Rust Tonic gRPC RPS Throughput Calculator
Estimates Tonic gRPC requests per second throughput from informed concurrent connections count (reference 50k RPS per connection with small payload and HTTP/2 multiplexing).
Rust Actix RPS Throughput By Routes Calculator
Estimates Actix Web requests per second throughput from informed registered routes count (reference 100k RPS on 8 cores minus 150 RPS per additional route).
Diabetes HbA1c Average Glucose mg dL Calculator
Estimates estimated average glucose (eAG) in mg dL from informed HbA1c percentage (ADA formula eAG = 28.7 times HbA1c minus 46.7).
Diabetes Fasting Glucose Type Calculator
Classifies fasting glycemia as normal, pre-diabetes or diabetes from informed value in mg dL (ADA reference normal below 100, pre-diabetes 100 to 125, diabetes greater or equal 126).
Diabetes Postprandial Glucose Type Calculator
Classifies postprandial glycemia as normal, impaired tolerance or diabetes from informed value in mg dL after 2 h (ADA reference normal below 140, impaired 140 to 199, diabetes greater or equal 200).
Diabetes Rapid Insulin Dose By Weight Calculator
Estimates rapid (bolus) insulin dose per meal from informed weight in kg (reference 0.1 unit per kg per meal in type 1 diabetes, adjust by glycemia and carb count).
Diabetes Long-Acting Insulin Dose By Weight Calculator
Estimates total daily long-acting (basal) insulin dose from informed weight in kg (reference 0.2 to 0.3 unit per kg per day in type 1 diabetes with 50 percent total daily dose as basal).
Diabetes Carb To Insulin Ratio Calculator
Estimates carbohydrate per insulin unit ratio by rule of 500 from informed total daily dose in IU (formula 500 divided by total daily dose = grams of CHO per 1 IU of rapid insulin).
Diabetes Insulin Correction Factor Calculator
Estimates insulin sensitivity factor (ISF) by rule of 1800 from informed total daily dose in IU (formula 1800 divided by total daily dose = how much each 1 IU of rapid insulin lowers glycemia in mg dL).
Diabetes Insulin Action Time By Type Calculator
Estimates onset, peak and duration of action of insulins from informed type (code 1 lispro/aspart, 2 regular, 3 NPH, 4 glargine, 5 degludec).
Diabetes Insulin Pump Basal Rate Calculator
Estimates hourly basal rate of insulin pump from informed total daily dose in IU (reference 50 percent of total daily dose distributed over 24 h as continuous basal).
Diabetes Insulin Pump Bolus Per Meal Calculator
Estimates insulin bolus per meal in pump from informed carbohydrate amount in grams (reference 1 IU per 10 g of CHO in average adult, adjust by individual CHO/IU ratio).
Diabetes CGM Sensor Days Calculator
Estimates CGM sensor use duration in days from informed type (code 1 Freestyle Libre 14d, 2 Dexcom G6 10d, 3 Dexcom G7 10d, 4 Medtronic Guardian 7d, 5 Eversense implantable 180d).
Diabetes CGM Daily Readings Calculator
Estimates total CGM readings per day from informed interval in minutes between readings (reference 1 reading every 5 min on Dexcom G6/G7 totals 288 readings per day).
Dominican Bandera Recipe Per Person Calculator
Estimates ingredients for Dominican bandera (flag dish with white rice, red beans and pot beef) from informed number of people (reference 120 g rice, 80 g beans and 150 g beef per serving).
Dominican Sancocho Recipe Per Person Calculator
Estimates ingredients for Dominican sancocho (thick stew with seven meats and root vegetables like cassava, yam and squash) from informed number of people (reference 200 g mixed meats, 150 g root vegetables and 500 ml broth per serving).
Dominican Mangu Recipe Per Person Calculator
Estimates ingredients for Dominican mangu (green plantain puree with sauteed red onion served for breakfast) from informed number of people (reference 250 g green plantain, 30 g onion and 15 ml olive oil per serving).
Dominican Mofongo Recipe Per Person Calculator
Estimates ingredients for Dominican mofongo (fried green plantain mashed with pork rind and garlic) from informed number of people (reference 200 g green plantain, 40 g pork rind and 10 g garlic per serving).
Dominican Asopao Recipe Per Person Calculator
Estimates ingredients for Dominican asopao (creamy rice soup with chicken or shrimp) from informed number of people (reference 80 g rice, 120 g chicken and 400 ml broth per serving).
Dominican Locrio Recipe Per Person Calculator
Estimates ingredients for Dominican locrio (rice cooked with meat or seafood in a single pot) from informed number of people (reference 120 g rice, 150 g protein and 300 ml broth per serving).
Cuban Ropa Vieja Recipe Per Person Calculator
Estimates ingredients for Cuban ropa vieja (shredded beef braised with bell pepper, onion and tomato sauce Havana style) from informed number of people (reference 200 g beef, 60 g bell pepper, 40 g onion and 80 g tomato per serving).
Cuban Arroz con Pollo Recipe Per Person Calculator
Estimates ingredients for Cuban arroz con pollo (yellow rice with chicken, saffron and beer) from informed number of people (reference 120 g rice, 150 g chicken, 30 ml beer and 0.5 g saffron per serving).
Cuban Vaca Frita Recipe Per Person Calculator
Estimates ingredients for Cuban vaca frita (shredded fried beef until crispy with lime, garlic and onion) from informed number of people (reference 200 g beef, 15 ml lime juice, 8 g garlic and 40 g onion per serving).
Cuban Picadillo Recipe Per Person Calculator
Estimates ingredients for Cuban picadillo (ground beef sauteed with olives, raisins, capers and tomato sauce) from informed number of people (reference 180 g ground beef, 15 g olives, 15 g raisins and 60 g tomato per serving).
Cuban Moros y Cristianos Recipe Per Person Calculator
Estimates ingredients for Cuban moros y cristianos (rice and black beans cooked together with bacon and seasoning) from informed number of people (reference 120 g rice, 60 g black beans and 20 g bacon per serving).
Cuban Yuca con Mojo Recipe Per Person Calculator
Estimates ingredients for Cuban yuca con mojo (boiled cassava topped with mojo sauce of garlic, sour orange and onion) from informed number of people (reference 250 g cassava, 10 g garlic, 30 ml sour orange and 30 ml olive oil per serving).
Cuban Flan Recipe Per Person Calculator
Estimates ingredients for Cuban flan (caramelized condensed milk pudding with egg yolks and vanilla) from informed number of people (reference 80 ml condensed milk, 60 ml milk, 2 egg yolks and 25 g sugar per serving).
Civ6 Science Victory Time Calculator
Estimates real time in hours to complete a science victory in Civilization VI from informed remaining turns (reference 1 real min per turn in standard game, 350 typical turns to the rocket).
Civ6 Cultural Victory Time Calculator
Estimates real time in hours to complete a cultural victory in Civilization VI from informed remaining turns (reference 1.1 real min per turn with tourists management, 320 typical turns).
Civ6 Religious Victory Time Calculator
Estimates real time in hours to complete a religious victory in Civilization VI from informed remaining turns (reference 1.2 real min per turn with apostles micromanagement, 280 typical turns).
Civ6 Domination Victory Time Calculator
Estimates real time in hours to complete a domination victory in Civilization VI from informed remaining turns (reference 1.3 real min per turn with battles, 250 typical turns to capture all capitals).
Civ6 Diplomatic Victory Time Calculator
Estimates real time in hours to complete a diplomatic victory in Civilization VI from informed remaining turns (reference 1 real min per turn with city-states, 380 typical turns to 20 diplomatic points).
Stellaris Galactic Empire Time Calculator
Estimates real time in hours to build a galactic empire in Stellaris from informed game years (reference 30 real seconds per game month, 200 typical years to dominate galaxy).
Stellaris Endgame Crisis Time Calculator
Estimates real time in hours to defeat the endgame crisis in Stellaris from informed enemy fleets (reference 15 real min per Contingency/Praethoryn fleet on standard 5x difficulty).
EU4 Nation Formation Time Calculator
Estimates real time in hours to form a nation in Europa Universalis 4 from informed in-game years to fulfill requirements (reference 8 real min per in-game year at speed 5, typically 80 years for formations like Italy or Germany).
EU4 Country Conquest Time Calculator
Estimates real time in hours to conquer a country in Europa Universalis 4 from informed enemy provinces (reference 4 real min per province including sieges and peace treaty).
HoI4 WW2 Victory Time By Type Calculator
Estimates real time in hours to win World War 2 in Hearts of Iron 4 from informed type (code 1 Axis blitzkrieg 6h, 2 Allies defensive 10h, 3 USSR Stalin 12h, 4 alternative fascist 15h).
CK3 Dynasty Years Time Calculator
Estimates real time in hours to maintain a dynasty in Crusader Kings 3 from informed reign years (reference 90 real seconds per in-game year at speed 4, 400 dynasty years typical).
Vic3 Industrial Revolution Time Calculator
Estimates real time in hours to complete the industrial revolution in Victoria 3 from informed industrial technologies to research (reference 5 real min per technology on medium difficulty, 25 industrial era technologies).
Imperator Roman Empire Time Calculator
Estimates real time in hours to form the Roman Empire in Imperator Rome from informed provinces to conquer (reference 3 real min per province with sieges and administration, 200 typical provinces for full empire).
Docker Image Size MB By Layers Calculator
Estimates Docker image size in MB from informed layers count (reference 5 MB per layer on alpine image or 20 MB per layer on debian/ubuntu image).
Docker Build Time By Image Type Calculator
Estimates Docker image build time from informed type (code 1 simple alpine 30s, 2 node 120s, 3 python full 180s, 4 java spring 300s, 5 dotnet full 360s without cache).
Docker Cold Startup Time ms Calculator
Estimates Docker container cold start time in ms from informed layers count (reference 300 ms base plus 50 ms per layer for extraction and overlay mount).
Docker CPU Limit Overhead Percent Calculator
Estimates overhead in percent when applying CPU limit (cgroups v2) on Docker container from informed limited cores (reference 2 percent per limited core in CPU bound workloads).
Docker Memory Limit Overhead MB Calculator
Estimates overhead in MB when applying memory limit on Docker container from informed limited GB (reference 5 MB per GB for cgroups metadata and page bookkeeping).
Docker Network Bridge Overhead ms Calculator
Estimates network bridge overhead in ms on Docker container from informed requests count (reference 0.2 ms per request via default bridge compared to host network).
Docker Volume Mount Overhead ms Calculator
Estimates volume mount overhead in ms on Docker container from informed I/O operations (reference 0.05 ms per operation on bind-mount volume or 0.1 ms on named volume).
Podman Image Size MB By Layers Calculator
Estimates Podman image size in MB from informed layers count (reference 5 MB per layer on alpine or 20 MB per layer on debian compatible with OCI format).
Podman Build Time By Image Type Calculator
Estimates Podman image build time from informed type (code 1 alpine 35s, 2 node 130s, 3 python 190s, 4 java 320s, 5 dotnet 380s using buildah in daemonless mode).
Podman Cold Startup Time ms Calculator
Estimates Podman container cold start time in ms from informed layers count (reference 350 ms base plus 55 ms per layer in rootless mode with fuse-overlayfs).
Podman Rootless Overhead ms Calculator
Estimates Podman rootless mode overhead in ms from informed syscalls count (reference 0.5 us per syscall via user-namespace mapping in I/O intensive flows).
Buildah Build Time By Image Type Calculator
Estimates Buildah image build time from informed type (code 1 alpine 25s, 2 node 110s, 3 python 170s, 4 java 290s, 5 dotnet 340s without daemon and with layer cache).
Rheumatology RF Positive Calculator
Classifies rheumatoid factor (RF) as normal, low positive or high positive from informed value in IU/mL (reference normal below 15, low positive 15 to 45, high positive above 45).
Rheumatology Anti CCP Positive Formula Calculator
Classifies anti-CCP (cyclic citrullinated peptide) as negative, weak positive or strong positive from informed value in U/mL (reference negative below 20, weak positive 20 to 60, strong positive above 60).
Rheumatology ACPA Antibodies Formula Calculator
Classifies ACPA (anti-citrullinated protein antibodies) as negative or positive from informed value in U/mL and rheumatoid arthritis risk (reference negative below laboratory cutoff, usually 20 U/mL).
Rheumatology CRP Elevation Formula By Type Calculator
Classifies CRP (C-reactive protein) as normal, low elevation, moderate or high from informed value in mg/L (reference normal below 5, low 5 to 10, moderate 10 to 50, high above 50).
Rheumatology ESR Elevation Formula By Type Calculator
Classifies ESR (erythrocyte sedimentation rate) as normal or elevated from informed value in mm/h and age/sex (reference Westergren formula: male normal below age/2, female below (age+10)/2).
Rheumatology ANA Titer Calculator
Classifies ANA (antinuclear antibody) as negative, weak positive or strong positive from informed titer (reference negative up to 1/80, weak 1/160 to 1/320, strong above 1/640 suggests systemic autoimmune disease).
Rheumatology Anti dsDNA Titer Calculator
Classifies anti-dsDNA as negative or positive from informed value in IU/mL (reference negative below 30, positive above 30, strong association with systemic lupus erythematosus and lupus nephritis).
Rheumatology Anti Sm Titer Calculator
Classifies anti-Sm (Smith) as negative or positive from informed value in IU/mL (reference negative below 20, positive above 20, specific marker for systemic lupus erythematosus).
Rheumatology Anti Ro Titer Calculator
Classifies anti-Ro (SS-A) as negative or positive from informed value in U/mL (reference negative below 20, positive above 20, present in Sjogren syndrome and neonatal lupus).
Rheumatology Anti La Titer Calculator
Classifies anti-La (SS-B) as negative or positive from informed value in U/mL (reference negative below 20, positive above 20, associated with primary Sjogren syndrome).
Rheumatology Anti Scl 70 Titer Calculator
Classifies anti-Scl-70 (topoisomerase I) as negative or positive from informed value in U/mL (reference negative below 20, positive above 20, marker for diffuse systemic sclerosis).
Rheumatology Anti Centromere Titer Calculator
Classifies anti-centromere as negative or positive from informed value in U/mL (reference negative below 20, positive above 20, marker for limited systemic sclerosis and CREST syndrome).
Mofongo Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican mofongo (fried green plantain mashed with bacon, garlic, olive oil and broth) from informed number of people (reference 200 g green plantain, 30 g bacon, 8 g garlic and 20 ml olive oil per serving).
Arroz con Gandules Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican arroz con gandules (yellow rice with pigeon peas, sofrito and bacon) from informed number of people (reference 120 g rice, 60 g pigeon peas, 20 g sofrito and 15 g bacon per serving).
Lechon Asado Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican lechon asado (whole pig seasoned with sazon, adobo and garlic slow-roasted on spit) from informed number of people (reference 400 g pork with bone, 5 g adobo, 3 g sazon and 8 g garlic per serving).
Pasteles Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican pasteles (green plantain and taro dough stuffed with pork wrapped in banana leaf) from informed number of people (reference 150 g green plantain, 60 g taro, 80 g pork and 30 g sofrito per serving).
Pernil Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican pernil (pork leg marinated with adobo, garlic and oregano slow-roasted for hours) from informed number of people (reference 300 g pernil, 8 g garlic, 5 g adobo and 3 g oregano per serving).
Pastelillos Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican pastelillos (fried empanadas filled with seasoned ground beef) from informed number of people (reference 100 g dough, 60 g ground beef, 15 g sofrito and 20 ml oil per serving).
Alcapurrias Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican alcapurrias (green plantain and yautia croquettes filled with ground beef) from informed number of people (reference 120 g green plantain, 60 g yautia, 80 g ground beef and 30 ml oil per serving).
Bacalaitos Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican bacalaitos (thin fritters of desalted cod with flour and seasoning) from informed number of people (reference 80 g cod, 100 g flour, 10 g cilantro and 30 ml oil per serving).
Tembleque Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican tembleque (creamy coconut milk pudding set with cornstarch and cinnamon) from informed number of people (reference 150 ml coconut milk, 20 g cornstarch, 25 g sugar and 0.3 g cinnamon per serving).
Flan Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican flan (condensed milk and egg pudding with caramel topping flavored with vanilla) from informed number of people (reference 80 ml condensed milk, 60 ml milk, 2 eggs and 30 g sugar per serving).
Coquito Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican coquito (Christmas drink of coconut milk, condensed milk, rum and spices) from informed number of people (reference 80 ml coconut milk, 60 ml condensed milk, 30 ml rum and 0.3 g cinnamon per serving).
Piragua Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican piragua (shaved ice topped with tropical fruit syrup) from informed number of people (reference 200 g shaved ice, 50 ml tropical syrup and 20 g sugar per serving).
Asopao Puerto Rico Recipe Calculator Per Person
Estimates ingredients for Puerto Rican asopao (creamy rice soup with chicken or seafood, sofrito and criollo seasoning) from informed number of people (reference 80 g rice, 120 g chicken, 30 g sofrito and 400 ml broth per serving).
Cities Skylines Time To Complete 100k City Calculator
Estimates real hours to build a 100k inhabitant city in Cities Skylines from informed target inhabitants (reference 2.5 hours per 10k inhabitants in medium difficulty with expansions unlocked).
SimCity Time To Complete City By Type Calculator
Estimates real hours to complete a city in SimCity from informed type code (code 1 village 4h, 2 small town 10h, 3 medium city 25h, 4 metropolis 60h, 5 megalopolis 120h).
Anno Time To Complete Victory By Type Calculator
Estimates real hours to complete a victory in Anno from informed type code (code 1 economic 30h, 2 dominance 40h, 3 sandbox 1800 50h, 4 sandbox 1404 45h, 5 sandbox 2070 55h).
Banished Time To Complete 100 Village Calculator
Estimates real hours to build a 100 inhabitant village in Banished from informed target inhabitants (reference 1.2 hours per 10 inhabitants in Hard difficulty without disasters).
Frostpunk Time To Complete Scenario By Type Calculator
Estimates real hours to complete a campaign in Frostpunk from informed type code (code 1 New Home 10h, 2 The Arks 8h, 3 The Refugees 9h, 4 The Last Autumn 12h, 5 On The Edge 11h in Hard difficulty).
Foundation Time To Complete Town By Type Calculator
Estimates real hours to complete a town in Foundation from informed type code (code 1 starter village 5h, 2 medieval town 15h, 3 prosperous town 30h, 4 fortified town 45h, 5 medieval empire 80h).
Tropico Time To Complete Victory By Type Calculator
Estimates real hours to complete a victory in Tropico from informed type code (code 1 simple campaign 6h, 2 cuban sandbox 20h, 3 multiplayer 12h, 4 special missions 25h, 5 dictatorial empire 60h).
Planet Coaster Time To Complete Park Calculator
Estimates real hours to build a park in Planet Coaster from informed target rides (reference 0.8 hours per ride including landscaping, coasters and operation).
Roller Coaster Tycoon Time To Complete Park Calculator
Estimates real hours to complete a scenario in Roller Coaster Tycoon from informed target guests (reference 0.005 hours per guest in classic scenario to reach goal).
Zoo Tycoon Time To Complete Zoo Calculator
Estimates real hours to complete a zoo in Zoo Tycoon from informed target species (reference 0.5 hours per species including habitat, diet and staff).
RimWorld Time To Complete Colony Years Calculator
Estimates real hours to survive a colony in RimWorld from informed in-game years (reference 4 real hours per in-game year in Strive To Survive difficulty with 5 colonists).
Dwarf Fortress Time To Complete Fortress Years Calculator
Estimates real hours to survive a fortress in Dwarf Fortress from informed in-game years (reference 6 real hours per in-game year in default difficulty with 80 dwarves).
Prison Architect Time To Complete Prison Calculator
Estimates real hours to complete a prison in Prison Architect from informed target prisoners (reference 0.06 hours per prisoner including construction, hiring and regime management).
PG VACUUM Time Table Rows Calculator
Estimates VACUUM time in minutes on a Postgres table from informed rows (reference 1 minute per 5 million rows on SSD with default autovacuum_vacuum_cost_limit).
PG VACUUM FULL Time Table Rows Calculator
Estimates VACUUM FULL time in minutes on a Postgres table from informed rows (reference 1 minute per 1 million rows because it rewrites the whole table with ACCESS EXCLUSIVE lock).
PG ANALYZE Time Table Rows Calculator
Estimates ANALYZE time in seconds on a Postgres table from informed rows (reference 1 second per 1 million rows using default 30k row sampling).
PG REINDEX Time Table Rows Calculator
Estimates REINDEX time in minutes on a Postgres table from informed rows (reference 1 minute per 2 million rows with REINDEX CONCURRENTLY on SSD).
PG pg_dump Time Database GB Calculator
Estimates pg_dump time in minutes for a Postgres database from informed size in GB (reference 1 minute per 1 GB of data in custom format with compression level 6).
PG pg_restore Time Database GB Calculator
Estimates pg_restore time in minutes for a Postgres database from informed size in GB (reference 2 minutes per 1 GB with pg_restore --jobs=4 on SSD to rebuild indexes).
PG Replication Lag Rows Per Second Calculator
Estimates Postgres replication lag in seconds from informed pending rows (reference 1 second per 50k WAL rows with streaming replica on 1 Gbps network).
PG Replication Streaming Throughput Calculator
Estimates throughput in MB/s of Postgres streaming replication from informed active WAL senders (reference 100 MB/s per sender on dedicated 10 Gbps network with synchronous_commit=local).
PG Replication Logical Throughput Calculator
Estimates throughput in MB/s of Postgres logical replication from informed active publishers (reference 40 MB/s per publisher due to logical decoding and filtering overhead).
PG shared_buffers Recommended MB Calculator
Estimates recommended shared_buffers in MB for a Postgres instance from informed total RAM in GB (reference 25 percent of total RAM as starting point for OLTP, tune for working set).
PG work_mem Recommended MB Calculator
Estimates recommended work_mem in MB for a Postgres instance from informed concurrent connections (reference total RAM divided by (max_connections times 4) with 4 MB floor).
PG maintenance_work_mem Recommended MB Calculator
Estimates recommended maintenance_work_mem in MB for a Postgres instance from informed total RAM in GB (reference 5 percent of total RAM or 1 GB max, used by VACUUM, CREATE INDEX and ALTER TABLE).
Dermatology Fitzpatrick Skin Type Calculator
Classifies Fitzpatrick skin phototype from informed code (1 very fair never tans, 2 fair tans little, 3 light brown, 4 brown, 5 dark brown, 6 black) and estimates sun risk.
Dermatology PASI Psoriasis Area Severity Index Calculator
Calculates PASI (Psoriasis Area and Severity Index) from informed total body surface area percentage (reference mild below 10, moderate 10 to 20, severe above 20 indicates severe psoriasis).
Dermatology SCORAD Eczema Area Severity Calculator
Calculates SCORAD (Severity Scoring of Atopic Dermatitis) from informed score 0 to 103 (reference mild below 25, moderate 25 to 50, severe above 50 indicates severe atopic dermatitis).
Dermatology EASI Eczema Area Severity Index Calculator
Calculates EASI (Eczema Area and Severity Index) from informed score 0 to 72 (reference clear 0, almost clear 0.1 to 1, mild 1.1 to 7, moderate 7.1 to 21, severe 21.1 to 50, very severe 50.1 to 72).
Dermatology MASI Melasma Area Severity Index Calculator
Calculates MASI (Melasma Area and Severity Index) from informed score 0 to 48 (reference mild below 8, moderate 8 to 24, severe above 24 indicates severe melasma).
Dermatology VASI Vitiligo Area Scoring Index Calculator
Calculates VASI (Vitiligo Area Scoring Index) from informed score 0 to 100 (reference mild below 10, moderate 10 to 30, severe above 30 indicates extensive vitiligo).
Dermatology Acne IGA Grade Calculator
Classifies acne by IGA scale (Investigator Global Assessment) from informed grade (0 clear, 1 almost clear, 2 mild, 3 moderate, 4 severe) used in clinical treatment trials.
Dermatology Rosacea IGA Grade Calculator
Classifies rosacea by IGA scale (Investigator Global Assessment) from informed grade (0 clear, 1 almost clear, 2 mild, 3 moderate, 4 severe) based on erythema, papules and pustules.
Dermatology Hidradenitis Suppurativa Hurley Stage Calculator
Classifies hidradenitis suppurativa by Hurley scale from informed stage (1 single or multiple abscess without tract or scarring, 2 recurrent abscesses with tracts and scarring, 3 diffuse lesions multiple interconnected tracts).
Dermatology Frontoparietal Alopecia Area Calculator
Calculates frontoparietal alopecia from informed scalp area percentage affected (reference mild below 25, moderate 25 to 50, severe above 50 indicates extensive loss in frontoparietal region).
Dermatology Androgenetic Alopecia Stage Calculator
Classifies androgenetic alopecia by Hamilton-Norwood (men) or Ludwig (women) scale from informed stage (1 minimal, 2 onset recession, 3 typical pattern, 4 advanced balding, 5 complete balding).
Dermatology Onychomycosis ONSI Severity Calculator
Calculates ONSI (Onychomycosis Severity Index) from informed score 0 to 35 (reference mild below 6, moderate 6 to 15, severe above 15 indicates extensive and hard to treat onychomycosis).
Haitian Griot Recipe Per Person Calculator
Estimates Haitian griot ingredients (citrus-marinated fried pork) from informed people (reference 180 g pork, 30 ml lime, 15 g garlic and 10 g scotch bonnet pepper per serving).
Haitian Soup Joumou Recipe Per Person Calculator
Estimates Haitian soup joumou ingredients (pumpkin soup with beef served on January 1st independence day) from informed people (reference 250 g pumpkin, 100 g beef, 50 g pasta and 30 g vegetables per serving).
Haitian Riz Djon Djon Recipe Per Person Calculator
Estimates Haitian riz djon djon ingredients (black rice cooked with native Haitian djon djon mushrooms) from informed people (reference 100 g rice, 15 g dried djon djon mushroom, 30 g green beans and 10 ml oil per serving).
Haitian Poulet Creole Recipe Per Person Calculator
Estimates Haitian poulet creole ingredients (Creole-style chicken with tomato, onion and scotch bonnet pepper) from informed people (reference 200 g chicken, 80 g tomato, 50 g onion and 5 g scotch bonnet pepper per serving).
Haitian Pikliz Recipe Per Person Calculator
Estimates Haitian pikliz ingredients (spicy pickled cabbage, carrot and scotch bonnet pepper in vinegar) from informed people (reference 60 g cabbage, 30 g carrot, 5 g scotch bonnet pepper and 30 ml vinegar per serving).
Haitian Akra Recipe Per Person Calculator
Estimates Haitian akra ingredients (fried malanga fritters seasoned with garlic and parsley) from informed people (reference 120 g malanga, 10 g garlic, 5 g parsley and 30 ml frying oil per serving).
Haitian Diri Kole Recipe Per Person Calculator
Estimates Haitian diri kole ingredients (rice cooked with red beans and Creole seasoning) from informed people (reference 100 g rice, 40 g beans, 20 g onion and 10 ml oil per serving).
Haitian Tassot Recipe Per Person Calculator
Estimates Haitian tassot ingredients (goat or beef marinated in lime and fried until crispy) from informed people (reference 180 g meat, 30 ml lime, 10 g garlic and 5 g pepper per serving).
Haitian Legume Recipe Per Person Calculator
Estimates Haitian legume ingredients (vegetable stew with chayote, spinach, cabbage and eggplant with meat) from informed people (reference 150 g chayote, 80 g spinach, 60 g meat and 30 g onion per serving).
Haitian Bouillon Recipe Per Person Calculator
Estimates Haitian bouillon ingredients (hearty meat soup with flour dumplings and root vegetables like yam and cassava) from informed people (reference 200 ml broth, 120 g meat, 80 g yam and 60 g cassava per serving).
Jamaican Jerk Chicken Recipe Per Person Calculator
Estimates Jamaican jerk chicken ingredients (chicken marinated in jerk spice with scotch bonnet pepper, allspice and thyme) from informed people (reference 200 g chicken, 30 g jerk spice and 5 g scotch bonnet pepper per serving).
Jamaican Curry Goat Recipe Per Person Calculator
Estimates Jamaican curry goat ingredients (goat braised in curry with potato and scotch bonnet pepper) from informed people (reference 200 g goat, 80 g potato, 30 g curry and 5 g scotch bonnet pepper per serving).
Jamaican Ackee And Saltfish Recipe Per Person Calculator
Estimates Jamaican ackee and saltfish ingredients (national dish with ackee fruit and desalinated salt cod) from informed people (reference 120 g ackee, 80 g salt cod, 40 g onion and 30 g bell pepper per serving).
Jamaican Callaloo Recipe Per Person Calculator
Estimates Jamaican callaloo ingredients (sauteed amaranth leaves with onion, garlic and tomato) from informed people (reference 200 g callaloo leaves, 40 g onion, 30 g tomato and 10 g garlic per serving).
Jamaican Bammy Recipe Per Person Calculator
Estimates Jamaican bammy ingredients (cassava flatbread steamed then fried or grilled) from informed people (reference 120 g grated cassava, 5 g salt and 30 ml coconut milk per serving).
Jamaican Ital Stew Recipe Per Person Calculator
Estimates Jamaican ital stew ingredients (Rastafarian vegan stew with vegetables, coconut milk and no salt or animal products) from informed people (reference 150 g pumpkin, 80 g carrot, 60 g chickpea and 200 ml coconut milk per serving).
Jamaican Rum Cake Recipe Per Person Calculator
Estimates Jamaican rum cake ingredients (fruit cake soaked in aged dark rum traditional for Christmas) from informed people (reference 80 g flour, 40 g dried fruits, 50 ml rum and 40 g butter per serving).
Dark Souls Time To Complete 100pct Calculator
Estimates real hours to complete Dark Souls 100 percent from informed defeated bosses (reference 3 hours per main boss including exploration, NG plus and platinum trophy run).
Dark Souls 2 Time To Complete 100pct Calculator
Estimates real hours to complete Dark Souls 2 with all DLCs 100 percent from informed defeated bosses (reference 2.5 hours per boss including exploration, DLCs Sunken King, Old Iron King and Ivory King).
Dark Souls 3 Time To Complete 100pct Calculator
Estimates real hours to complete Dark Souls 3 with DLCs 100 percent from informed defeated bosses (reference 2.8 hours per boss including exploration, DLCs Ashes of Ariandel and The Ringed City).
Bloodborne Time To Complete 100pct Calculator
Estimates real hours to complete Bloodborne with The Old Hunters DLC 100 percent from informed defeated bosses (reference 3.2 hours per boss including exploration, Chalice Dungeons and DLC).
Sekiro Time To Complete 100pct Calculator
Estimates real hours to complete Sekiro Shadows Die Twice 100 percent from informed defeated bosses (reference 3.5 hours per main boss including all 4 alternate endings and trophies).
Elden Ring Time To Complete 100pct Calculator
Estimates real hours to complete Elden Ring with Shadow of the Erdtree DLC 100 percent from informed defeated bosses (reference 3 hours per boss including Lands Between, Realm of Shadow and trophies).
Elden Ring Time To Farm Runes Calculator
Estimates real hours to farm runes in Elden Ring from informed target runes (reference 1 hour per 500k runes in Mohgwyn Palace with Sacred Relic Sword at endgame).
Demon Souls Time To Complete 100pct Calculator
Estimates real hours to complete Demon Souls Remake 100 percent from informed defeated bosses (reference 2.5 hours per boss including World Tendency, Character Tendency and trophies).
Nioh Time To Complete 100pct Calculator
Estimates real hours to complete Nioh with all DLCs 100 percent from informed main missions (reference 1.5 hours per mission including DLCs Dragon of the North, Defiant Honor and Bloodshed End).
Nioh 2 Time To Complete 100pct Calculator
Estimates real hours to complete Nioh 2 with all DLCs 100 percent from informed main missions (reference 1.8 hours per mission including DLCs The Tengu Disciple, Darkness in the Capital and The First Samurai).
Code Vein Time To Complete 100pct Calculator
Estimates real hours to complete Code Vein 100 percent from informed defeated bosses (reference 2 hours per main boss including all 3 alternate endings and DLCs).
Lies of P Time To Complete 100pct Calculator
Estimates real hours to complete Lies of P 100 percent from informed defeated bosses (reference 2.5 hours per main boss including all 3 alternate endings and Overture DLC).
Tailwind CSS Bundle Size Calculator
Estimates final Tailwind CSS size in KB from informed utility classes in the build (reference 0.04 KB per utility class with aggressive purge and GZIP compression).
Tailwind Purge Build Time Calculator
Estimates Tailwind purge time in seconds from informed scanned classes in the project (reference 1 second per 5k scanned classes in HTML/JS/JSX files with default regex).
Tailwind JIT Build Time Calculator
Estimates Tailwind JIT build time in milliseconds from informed dynamically generated classes (reference 0.5 ms per JIT class in watch mode with hot reload).
Tailwind Config Load Time MS Calculator
Estimates tailwind.config.js load time in milliseconds from informed enabled custom plugins (reference 30 ms per official plugin like forms, typography and aspect-ratio).
PostCSS Build Time By Type Calculator
Estimates PostCSS build time in seconds from informed type code (1 simple 0.5s, 2 autoprefixer 1.2s, 3 cssnano 2.5s, 4 nested 1.8s, 5 full pipeline 5s).
PostCSS Autoprefixer Build Time Calculator
Estimates PostCSS autoprefixer plugin time in seconds from informed processed selectors (reference 1 second per 10k selectors with default browserslist last 2 versions).
PostCSS Cssnano Build Time Calculator
Estimates PostCSS cssnano plugin time in seconds from informed CSS size in KB (reference 1 second per 200 KB of CSS in default preset with full minification).
PostCSS Nested Build Time Calculator
Estimates postcss-nested plugin time in seconds from informed nested rules (reference 1 second per 5k nested rules with average depth of 3 levels).
Stylelint Files Time Calculator
Estimates stylelint time in seconds from informed analyzed CSS files (reference 0.3 second per file with stylelint-config-standard config and 50 active rules).
Prettier Files Time By Type Calculator
Estimates prettier time in seconds from informed type (1 JS 0.05s, 2 TS 0.08s, 3 CSS 0.04s, 4 HTML 0.06s, 5 JSON 0.02s per formatted file).
Nephrology Hemodialysis Time Per Session Calculator
Estimates total weekly hours on hemodialysis from informed weekly sessions (reference 4 hours per session in conventional hemodialysis 3 times a week per KDOQI guidelines).
Nephrology Dialyzer Quantity By Type Calculator
Estimates annual dialyzers needed from informed type (1 high flux 156/year, 2 low flux 156/year, 3 hemodiafiltration 200/year, 4 reuse 78/year, 5 single use 312/year).
Nephrology Uremia Recovery Time Calculator
Estimates uremia recovery months after dialysis initiation from informed CKD stage (reference 3 months in stage 5 with GFR below 15, may improve neurological and cardiovascular symptoms).
Nephrology Urea Clearance Calculator
Estimates urea clearance in mL/min from informed patient weight in kg (reference 1.5 mL/min per kg in conventional hemodialysis with high flux dialyzer and 350 mL/min blood flow).
Nephrology Kt V Formula Hemodialysis Calculator
Estimates Kt/V (dialysis adequacy) from informed session time in hours (reference 0.35 per hour in conventional hemodialysis with minimum Kt/V 1.2 per session per KDOQI guidelines).
Nephrology URR Formula Hemodialysis Calculator
Estimates URR (Urea Reduction Ratio) percentage from informed session time in hours (reference 17 percent per hour in conventional hemodialysis with minimum URR 65 percent per session).
Nephrology Erythropoietin Dose Per Person Calculator
Estimates weekly erythropoietin dose in IU from informed patient weight in kg (reference 100 IU/kg per week in hemodialysis patients with CKD anemia and target hemoglobin 10-11 g/dL).
Nephrology Iron Dose Per Person MG Calculator
Estimates monthly IV iron dose in mg from informed patient weight in kg (reference 1.5 mg/kg per week of iron sucrose in hemodialysis patients with target ferritin 200-500 ng/mL).
Nephrology Tunneled Catheter Time Years Calculator
Estimates tunneled catheter lifespan in years for hemodialysis from informed months in use (reference 2 years average lifespan before replacement due to infection or catheter dysfunction).
Nephrology AVF Maturation Time Calculator
Estimates arteriovenous fistula maturation months for hemodialysis from informed type (1 radiocephalic 12 weeks, 2 brachiocephalic 8 weeks, 3 brachiobasilic 16 weeks, 4 PTFE graft 4 weeks).
Nephrology Kidney Transplant Time Years Calculator
Estimates kidney transplant lifespan in years from informed type (1 living HLA-identical donor 25 years, 2 living partial HLA donor 18 years, 3 deceased donor 12 years, 4 retransplant 10 years, 5 ABO incompatible 14 years).
Malay Nasi Lemak Recipe Per Person Calculator
Estimates Malay nasi lemak ingredients (national dish with coconut milk rice, sambal, peanuts, anchovies and egg) from informed people (reference 120 g rice, 60 ml coconut milk, 30 g sambal and 20 g peanut per serving).
Malay Laksa Recipe Per Person Calculator
Estimates Malay laksa ingredients (spicy noodle soup with coconut milk, shrimp and laksa paste) from informed people (reference 100 g noodles, 200 ml coconut broth, 80 g shrimp and 30 g laksa paste per serving).
Malay Rendang Recipe Per Person Calculator
Estimates Malay rendang ingredients (beef slow-cooked in coconut milk with rempah spice paste until almost dry) from informed people (reference 180 g beef, 100 ml coconut milk, 30 g rempah and 5 g kaffir leaf per serving).
Malay Satay Recipe Per Person Calculator
Estimates Malay satay ingredients (grilled chicken or beef skewers with peanut sauce) from informed people (reference 150 g meat, 40 g peanut paste, 10 g lemongrass and 5 skewers per serving).
Malay Mee Goreng Recipe Per Person Calculator
Estimates Malay mee goreng ingredients (spicy fried noodles with tofu, potato, egg and sweet tomato sauce) from informed people (reference 120 g noodles, 50 g tofu, 30 g potato and 1 egg per serving).
Malay Nasi Kandar Recipe Per Person Calculator
Estimates Malay nasi kandar ingredients (rice with assorted curries served at Penang stalls) from informed people (reference 150 g rice, 100 g chicken curry, 50 g vegetables and 30 g sauce per serving).
Malay Roti Canai Recipe Per Person Calculator
Estimates Malay roti canai ingredients (layered Indian flatbread served with dhal curry) from informed people (reference 120 g flour, 30 g ghee, 10 g sugar and 50 ml dhal per serving).
Malay Char Kway Teow Recipe Per Person Calculator
Estimates Malay char kway teow ingredients (wide rice noodles wok-fried with shrimp, bean sprouts, Chinese sausage and egg) from informed people (reference 150 g kway teow, 60 g shrimp, 30 g Chinese sausage and 1 egg per serving).
Malay Hokkien Mee Recipe Per Person Calculator
Estimates Malay hokkien mee ingredients (yellow noodles fried in dark soy sauce with pork, shrimp and cabbage) from informed people (reference 130 g hokkien noodles, 60 g pork, 40 g shrimp and 30 g cabbage per serving).
Malay Cendol Recipe Per Person Calculator
Estimates Malay cendol ingredients (iced dessert with green pandan strips, coconut milk and palm sugar gula melaka) from informed people (reference 60 g pandan cendol, 100 ml coconut milk, 30 g gula melaka and 100 g shaved ice per serving).
Malay Ais Kacang Recipe Per Person Calculator
Estimates Malay ais kacang ingredients (shaved ice dessert with red beans, sweet corn, grass jelly and colorful syrup) from informed people (reference 150 g shaved ice, 40 g red beans, 30 g sweet corn and 20 g grass jelly per serving).
Malay Kaya Toast Recipe Per Person Calculator
Estimates Malay kaya toast ingredients (toast with coconut kaya jam and butter served with soft-boiled egg) from informed people (reference 60 g bread, 30 g kaya jam, 15 g butter and 2 eggs per serving).
Malay Teh Tarik Recipe Per Person Calculator
Estimates Malay teh tarik ingredients (black tea pulled between mugs with condensed milk creating foam) from informed people (reference 5 g black tea, 50 ml condensed milk and 200 ml water per serving).
Fortnite Solo Squad Victory Time Calculator
Estimates hours to achieve a Fortnite solo victory royale from informed matches played (reference 0.35 hour per typical 20-minute match with average rate of 1 win per 8 matches for intermediate players).
Fortnite Builds Per Victory Type Calculator
Estimates builds needed to win Fortnite from informed type (1 solo 40 builds, 2 duo 60 builds, 3 trio 80 builds, 4 squad 100 builds, 5 zero build 0 builds per victory).
Apex Legends Victory Time Type Calculator
Estimates minutes per Apex Legends victory from informed type (1 solo 22 min, 2 duo 25 min, 3 trio 28 min, 4 ranked 32 min, 5 arenas 14 min per won match).
Apex Legends Kills Per Match Type Calculator
Estimates average Apex Legends kills from informed type (1 bronze 1 kill, 2 silver 2 kills, 3 gold 3 kills, 4 platinum 4 kills, 5 diamond 5 kills, 6 master 7 kills, 7 predator 10 kills per match).
PUBG Chicken Dinner Time Type Calculator
Estimates PUBG chicken dinner minutes from informed type (1 solo 28 min, 2 duo 30 min, 3 squad 32 min, 4 ranked 35 min, 5 arcade 12 min per victory).
PUBG Kills Per Match Type Calculator
Estimates average PUBG kills from informed type (1 bronze 1 kill, 2 silver 2 kills, 3 gold 3 kills, 4 platinum 4 kills, 5 diamond 5 kills, 6 master 7 kills, 7 predator 10 kills per match).
Warzone Victory Time Type Calculator
Estimates Call of Duty Warzone victory minutes from informed type (1 solo 24 min, 2 duo 26 min, 3 trio 28 min, 4 quad 30 min, 5 resurgence 16 min per win).
Warzone Kills Per Match Type Calculator
Estimates Warzone kills from informed type (1 bronze 2 kills, 2 silver 3 kills, 3 gold 5 kills, 4 platinum 7 kills, 5 diamond 10 kills, 6 crimson 14 kills, 7 iridescent 20 kills per match).
Fall Guys Crown Time Rounds Calculator
Estimates minutes to win a Fall Guys crown from informed consecutive rounds won (reference 3 minutes per typical round with about 5 rounds to the crowned final).
Naraka Victory Time Type Calculator
Estimates Naraka Bladepoint victory minutes from informed type (1 solo 22 min, 2 duo 24 min, 3 trio 26 min, 4 ranked 30 min, 5 showdown 18 min per win).
Rumbleverse Victory Time Type Calculator
Estimates Rumbleverse victory minutes from informed type (1 solo 15 min, 2 duo 17 min, 3 squad 19 min, 4 ranked 22 min, 5 event 12 min per win).
Blackout Victory Time Type Calculator
Estimates Call of Duty Blackout victory minutes from informed type (1 solo 25 min, 2 duo 27 min, 3 quad 30 min, 4 ranked 33 min, 5 hot pursuit 18 min per win).
Realm Royale Victory Time Type Calculator
Estimates Realm Royale victory minutes from informed type (1 solo 20 min, 2 duo 22 min, 3 squad 25 min, 4 ranked 28 min, 5 reforged 16 min per win).
Next.js Bundle Size MB Dependencies Calculator
Estimates Next.js bundle size in MB from informed package.json dependencies (reference 0.3 MB per dependency including React, Next runtime, polyfills and active tree shaking).
Next.js Build Time Pages Calculator
Estimates Next.js build seconds from informed pages in app or pages directory (reference 0.8 second per page in production mode with SWC and Turbopack disabled).
Next.js SSR Page Render Time MS Calculator
Estimates milliseconds to render a Next.js page in SSR from informed components per page (reference 8 ms per React component in server rendering with Node 20 and static data).
Next.js ISR Revalidate Time Pages Calculator
Estimates seconds to revalidate ISR pages from informed pages with revalidate (reference 0.5 second per revalidated page including data fetch and CDN cache).
Next.js SSG Build Time Pages Calculator
Estimates seconds to generate Next.js SSG static pages from informed pre-rendered pages (reference 1.2 second per SSG page in production build with getStaticProps).
Nuxt Bundle Size MB Dependencies Calculator
Estimates Nuxt bundle size in MB from informed package.json dependencies (reference 0.28 MB per dependency including Vue 3, Nitro server and Nuxt 3 auto-imports).
Nuxt Build Time Pages Calculator
Estimates Nuxt build seconds from informed pages in pages directory (reference 0.7 second per page in production mode with Vite and optimized Nitro).
Nuxt SSR Page Render Time MS Calculator
Estimates milliseconds to render a Nuxt page in SSR from informed components per page (reference 7 ms per Vue component in server rendering with Nitro and Node 20).
Astro Build Time Pages Calculator
Estimates Astro build seconds from informed pages in pages directory (reference 0.4 second per page in production mode with Vite and zero JS by default in Astro 4).
Astro Bundle Size MB Dependencies Calculator
Estimates Astro bundle size in MB from informed package.json dependencies (reference 0.15 MB per dependency with islands architecture and zero JS by default in Astro 4).
Remix Build Time Pages Calculator
Estimates Remix build seconds from informed routes in routes directory (reference 0.6 second per route in production mode with esbuild and Remix 2 nested routes).
SvelteKit Build Time Pages Calculator
Estimates SvelteKit build seconds from informed pages in routes directory (reference 0.45 second per page in production mode with Vite and adapter-node or adapter-static).
Ophthalmology Snellen Visual Acuity Calculator
Estimates Snellen visual acuity from informed meters the patient reads the chart (reference 0.05 decimal acuity per meter, with 1.0 being normal vision at 6 meters and below 0.1 indicating severe low vision).
Ophthalmology LogMAR Visual Acuity Calculator
Estimates LogMAR visual acuity from informed letters read (reference 0.02 logMAR per letter, with 0.0 being normal 20/20 vision and above 1.0 indicating severe low vision worse than 20/200).
Ophthalmology Intraocular Pressure IOP Calculator
Estimates average intraocular pressure in mmHg from informed Goldmann tonometer measurements (reference 16 mmHg population average, with 10-21 mmHg normal and above 21 mmHg glaucoma suspicion).
Ophthalmology Tonometry Curve IOP Calculator
Estimates IOP variation in mmHg throughout the day from informed measurements in tonometry curve protocol (reference 5 mmHg typical variation between morning peak and evening trough, with above 6 mmHg suggesting glaucoma).
Ophthalmology Pachymetry MM Calculator
Estimates central corneal thickness in micrometers from informed ultrasonic pachymeter measurements (reference 545 micrometers population average, with below 500 indicating thin cornea and glaucoma risk factor).
Ophthalmology Keratometry Cylinder Calculator
Estimates corneal cylinder in diopters from informed keratometer measurements (reference 0.5 diopter of corneal astigmatism per measurement, with above 2.5 diopters indicating significant astigmatism to correct with toric).
Ophthalmology Refraction Spherical Cylinder Calculator
Estimates total diopters combining spherical and cylindrical from informed spherical diopters (reference spherical equivalent = spherical + cylinder/2 with sign convention for negative myopia and positive hyperopia).
Ophthalmology Axial Biometry MM Calculator
Estimates eye axial length in millimeters from informed IOLMaster biometer measurements (reference 23.5 mm population average, with above 26 mm indicating high axial myopia and below 22 mm axial hyperopia).
Ophthalmology Cataract Recovery Months Calculator
Estimates months of recovery after cataract phacoemulsification surgery from informed operated eyes (reference 1.5 month per eye with monofocal intraocular lens, 3 months for complete stabilization with toric-corrected astigmatism).
Ophthalmology LASIK Recovery Months Calculator
Estimates months of recovery after LASIK refractive surgery from informed operated eyes (reference 1 month per eye for visual stabilization with corneal flap, 3 months for complete stabilization in high myopia above 6 diopters).
Ophthalmology PRK Recovery Months Calculator
Estimates months of recovery after PRK surface refractive surgery from informed operated eyes (reference 3 months per eye with epithelium healing without flap, 6 months for complete stabilization in high myopia above 6 diopters).
Ophthalmology Glaucoma Trabeculectomy Recovery Months Calculator
Estimates months of recovery after glaucoma trabeculectomy from informed operated eyes (reference 4 months per eye with subconjunctival bleb, 6 months for complete IOP stabilization and removable sutures lysis).
Filipino Adobo Recipe Per Person Calculator
Estimates adobo Filipino ingredients (national Filipino dish with chicken or pork in vinegar, soy sauce, garlic and bay leaves) from informed pessoas (reference 200 g protein, 100 ml vinegar, 80 ml soy sauce and 8 g garlic per serving).
Filipino Sinigang Recipe Per Person Calculator
Estimates sinigang Filipino ingredients (Filipino sour soup with tamarind, pork or shrimp, vegetables and kangkong leaves) from informed pessoas (reference 350 g protein, 50 g tamarind paste, 200 g vegetables and 500 ml broth per serving).
Filipino Lechon Recipe Per Person Calculator
Estimates lechon Filipino ingredients (whole roasted pig with crispy skin stuffed with lemongrass and onion) from informed pessoas (reference 400 g roasted pork with 20 g lemongrass and 30 g onion per serving).
Filipino Pancit Recipe Per Person Calculator
Estimates pancit Filipino ingredients (Filipino stir-fried noodles with meat, shrimp, vegetables and soy sauce served at birthdays) from informed pessoas (reference 150 g noodles, 80 g protein, 100 g vegetables and 30 ml soy sauce per serving).
Filipino Lumpia Recipe Per Person Calculator
Estimates lumpia Filipino ingredients (Filipino fried spring rolls stuffed with meat or vegetables) from informed pessoas (reference 6 lumpias of 20 g each with 12 g filling and 8 g wrapper per serving).
Filipino Kare Kare Recipe Per Person Calculator
Estimates kare kare Filipino ingredients (Filipino oxtail stew with peanut sauce, vegetables and shrimp bagoong) from informed pessoas (reference 300 g oxtail, 50 g peanut paste, 100 g vegetables and 25 g bagoong per serving).
Filipino Tinola Recipe Per Person Calculator
Estimates tinola Filipino ingredients (Filipino chicken soup with ginger, green papaya and moringa leaves) from informed pessoas (reference 320 g chicken, 15 g ginger, 100 g green papaya and 30 g moringa per serving).
Filipino Bicol Express Recipe Per Person Calculator
Estimates bicol express Filipino ingredients (spicy stew from Bicol region with pork, coconut milk, green chili and shrimp paste) from informed pessoas (reference 250 g pork, 200 ml coconut milk, 50 g green chili and 15 g shrimp paste per serving).
Filipino Laing Recipe Per Person Calculator
Estimates laing Filipino ingredients (dried taro leaves cooked in coconut milk with chili and dried shrimp) from informed pessoas (reference 180 g taro leaves, 150 ml coconut milk, 20 g chili and 10 g dried shrimp per serving).
Filipino Halo Halo Recipe Per Person Calculator
Estimates halo halo Filipino ingredients (Filipino cold dessert with shaved ice, condensed milk, fruits and ube in layers) from informed pessoas (reference 400 g total with 200 g ice, 60 ml condensed milk and 80 g fruits per serving).
Filipino Leche Flan Recipe Per Person Calculator
Estimates leche flan Filipino ingredients (Filipino egg yolk pudding with condensed and evaporated milk and caramelized sugar syrup) from informed pessoas (reference 150 g pudding with 80 g condensed milk, 40 g yolks and 30 g sugar per serving).
Filipino Bibingka Recipe Per Person Calculator
Estimates bibingka Filipino ingredients (Filipino rice cake with cheese, salted duck egg and banana leaf served at Christmas) from informed pessoas (reference 200 g cake with 120 g rice flour, 50 g cheese and 30 g butter per serving).
Filipino Balut Recipe Per Person Calculator
Estimates balut Filipino ingredients (17-day fertilized duck egg with partially developed embryo served as street snack) from informed pessoas (reference 2 baluts of 65 g each with salt, vinegar and pepper as side per serving).
FIFA Season Completion Time Calculator
Estimates fifa temporada (time to complete a FIFA career mode season playing all matches) from informed jogos (reference 0.25 hour per 15-minute match without highlight in 38-game league season).
FIFA FUT Coins Per Person Packs Calculator
Estimates fifa fut coins (FUT coins needed to open Premium Gold packs in Ultimate Team) from informed pacotes (reference 7500 coins per Premium Gold pack on market considering 5 percent fee and daily fluctuation).
FIFA Rivals Division Points Per Person Calculator
Estimates fifa rivals (Division Rivals points needed to climb to division 4 in Ultimate Team) from informed pessoas (reference 1500 points per division with win worth 70 and loss -30 in average 15 matches).
FIFA FUT Champions Final Points Per Person Calculator
Estimates fifa champions (points needed to reach Elite I reward in FUT Champions Finals) from informed pessoas (reference 1450 points with 11 wins in 20 games being 100 points per win and 25 per loss).
FM Season Completion Time Per Person Calculator
Estimates fm temporada (hours to complete a Football Manager season simulating matches at medium speed) from informed pessoas (reference 80 hours for 60 games with tactics, scouting and training in Comprehensive mode).
FM Players Per Club Time Calculator
Estimates fm (players in main squad of a club in Football Manager including Under 23 reserves) from informed clubes (reference 28 players aged 18 to 35 with average salary and 4-year contract for top league).
PES eFootball Season Completion Time Calculator
Estimates pes efootball (hours to complete an eFootball PES season in Master League mode) from informed temporadas (reference 12 hours for 38 matches of 12 minutes on Top Player difficulty).
PES myClub Points Per Person Calculator
Estimates pes myclub (myClub coins needed for a Top Players highlighted spin in eFootball) from informed pessoas (reference 5000 coins per Top Players agent with 6 percent Black Ball drop rate).
Ultimate Team Coins Per Person Games Calculator
Estimates ultimate team (average coins earned per match in Squad Battles and Division Rivals in Ultimate Team) from informed jogos (reference 400 coins per match with 250 base and 150 from daily objectives on average).
Rocket League GC Grand Champ Time Calculator
Estimates rocket league gc (average hours to reach Grand Champion rank in Rocket League starting from Bronze) from informed pessoas (reference 600 hours of practice with 5 hours per day to progress 12 ranks to Grand Champ).
FIFA Volta Coins Per Person Games Calculator
Estimates fifa volta (Volta coins earned per match in FIFA street football mode with daily objectives) from informed jogos (reference 250 Volta coins per 3v3 match with Pro Goal avatar and exclusive cosmetics).
FIFA Career Mode Time Per Person Calculator
Estimates fifa carreira (hours to complete 5 seasons in FIFA manager career mode with transfers) from informed pessoas (reference 50 hours for 5 seasons with 6 minutes per match and squad management).
FM Player Database Time Calculator
Estimates fm database (Football Manager player database size per year of update) from informed anos (reference 200 MB per year with 800 thousand players and full attributes in 117 active leagues).
Django Project Startup Time Calculator
Estimates django startup (Django project startup time from number of installed apps) from informed apps (reference 0.4 second per app considering signal registration, ORM and default middleware).
Django Migrate Tables Time Calculator
Estimates django migrate (execution time of python manage.py migrate to create tables in PostgreSQL) from informed tabelas (reference 0.15 second per table with indices and foreign keys in empty local database).
Django ORM Queries Throughput Calculator
Estimates django orm (Django ORM queries throughput in PostgreSQL with optimized prefetch_related) from informed workers (reference 1200 queries per second per Gunicorn worker with connection pool size 20).
Django REST Framework RPS Throughput Calculator
Estimates drf (Django REST Framework throughput in requests per second with ModelSerializer) from informed workers (reference 800 rps per Gunicorn worker with Token authentication and small JSON under 1 KB).
FastAPI Project Startup Time Calculator
Estimates fastapi startup (FastAPI startup time from number of registered endpoints) from informed endpoints (reference 0.05 second per endpoint with OpenAPI schema generation and dependency injection).
FastAPI Uvicorn RPS Throughput Calculator
Estimates fastapi uvicorn (FastAPI throughput in requests per second served by async Uvicorn) from informed workers (reference 5000 rps per Uvicorn worker on async endpoint with no blocking I/O).
FastAPI Pydantic Validation Overhead Calculator
Estimates pydantic (Pydantic v2 validation overhead per model field in FastAPI request) from informed campos (reference 800 nanoseconds per field with Rust core and simple types like str or int).
Flask Gunicorn RPS Throughput Calculator
Estimates flask (Flask sync throughput in requests per second served by Gunicorn) from informed workers (reference 600 rps per sync Gunicorn worker with Flask without ORM on hello world endpoint).
Pyramid Waitress RPS Throughput Calculator
Estimates pyramid (Pyramid framework throughput in requests per second served by Waitress) from informed threads (reference 450 rps per Waitress thread with ZODB view and Mako template renderer).
Tornado RPS Throughput Calculator
Estimates tornado (Tornado throughput in requests per second with native async I/O) from informed processos (reference 3500 rps per process with async RequestHandler and event-driven IOLoop).
aiohttp RPS Throughput Calculator
Estimates aiohttp (aiohttp throughput in requests per second in client server asyncio mode) from informed processos (reference 4500 rps per process with async coroutine handler and routes in flat application).
Bottle RPS Throughput Calculator
Estimates bottle (Bottle framework throughput in requests per second served by uWSGI) from informed workers (reference 700 rps per uWSGI sync worker with simple route returning JSON 200 bytes).
Neuro Ischemic Stroke Thrombolysis Time Calculator
Estimates trombolise (time window for rt-PA thrombolytic administration in ischemic stroke after symptom onset) from informed pessoas (reference 270 minutes or 4.5 hours per AHA guideline with NIHSS between 4 and 25).
Neuro Hemorrhagic Stroke Volume Calculator
Estimates avch volume (intraparenchymal hematoma estimated volume by ABC formula divided by 2) from informed pessoas (reference 30 ml average volume in moderate ICH with prognosis based on ICH score).
Neuro Stroke NIHSS Score Calculator
Estimates nihss (National Institutes of Health Stroke Scale score with 15 neurological items) from informed pessoas (reference 8 points moderate stroke being 0-4 mild, 5-15 moderate, 16-20 moderate severe, 21+ severe).
Neuro Stroke mRS Modified Rankin Calculator
Estimates mrs (modified Rankin Scale for post-stroke functional outcome ranging 0 to 6) from informed pessoas (reference 2 points mild disability with 0 asymptomatic, 3 moderate, 5 severe and 6 death).
Neuro Stroke Glasgow Coma Calculator
Estimates glasgow (Glasgow Coma Scale for level of consciousness assessment in stroke) from informed pessoas (reference 13 points mild TBI with 3 deep coma, 9-12 moderate, 13-15 mild in sum E+V+M).
Neuro Stroke Door To Needle Time Calculator
Estimates door to needle (door to needle time from emergency arrival to rt-PA thrombolytic infusion) from informed pessoas (reference 45 minutes AHA Stroke Center target with less than 60 min in 80 percent of cases).
Neuro Stroke Door To Puncture Time Calculator
Estimates door to puncture (door to puncture time from emergency to start of mechanical endovascular thrombectomy) from informed pessoas (reference 90 minutes DAWN trial target with 6 to 24 hour window for large vessels).
Neuro Stroke CHA2DS2 VASc Formula Calculator
Estimates cha2ds2 vasc (CHA2DS2-VASc score for annual stroke risk in non-valvular atrial fibrillation) from informed pessoas (reference 3 points moderate risk 3.2 percent year with 2+ indication for oral anticoagulation).
Neuro Stroke HAS BLED Formula Calculator
Estimates has bled (HAS-BLED score for annual major bleeding risk on anticoagulation for AF) from informed pessoas (reference 2 points low risk 1.88 percent year with 3+ high risk requiring monitoring).
Neuro Stroke Aspirin Dose Per Person Day Calculator
Estimates aspirina (daily aspirin dose for secondary prevention of recurrent ischemic stroke) from informed pessoas (reference 100 mg standard dose with 81-325 mg/day per gastric tolerance and bleeding risk).
Neuro Stroke Clopidogrel Dose Per Person Day Calculator
Estimates clopidogrel (daily clopidogrel dose for antiplatelet therapy in secondary stroke prevention) from informed pessoas (reference 75 mg standard dose with 300 mg loading in associated acute coronary syndrome).
Neuro Stroke Anticoagulant Dose Per Person Calculator
Estimates rivaroxabana (daily rivaroxaban DOAC dose for non-valvular AF in stroke prevention) from informed pessoas (reference 20 mg standard once daily dose with reduction to 15 mg if CrCl 15-49 ml/min).
Nasi Goreng Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian nasi goreng (Indonesian fried rice with kecap manis, egg, chicken and shrimp with fried shallots) from informed pessoas (reference 250 g cooked rice, 80 g chicken, 40 g shrimp and 20 ml kecap manis per portion).
Mie Goreng Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian mie goreng (spicy fried noodles with kecap manis, sambal, cabbage and fried egg on top) from informed pessoas (reference 200 g noodles, 100 g vegetables, 60 g protein and 25 ml kecap per portion).
Gado Gado Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian gado gado (Indonesian salad of cooked vegetables with peanut sauce, boiled egg, tofu and tempeh) from informed pessoas (reference 200 g vegetables, 80 g tofu, 60 g tempeh and 50 g peanut sauce per portion).
Rendang Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian rendang (beef slow cooked in coconut milk and bumbu rendang until caramelized for hours) from informed pessoas (reference 220 g beef, 200 ml coconut milk, 40 g bumbu and 30 g grated coconut per portion).
Sate Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian sate (grilled chicken or lamb skewers with peanut sauce, ketupat and onion garnish) from informed pessoas (reference 200 g protein, 60 g peanut sauce, 80 g ketupat and 20 g onion per portion).
Soto Ayam Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian soto ayam (Indonesian yellow chicken soup with turmeric, lemongrass, egg, bihun and potato crisp) from informed pessoas (reference 200 g chicken, 80 g bihun, 50 g egg and 300 ml yellow broth per portion).
Bakso Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian bakso (Indonesian soup with meatballs, rice noodles and tofu in clear broth) from informed pessoas (reference 150 g meatballs, 80 g noodles, 50 g tofu and 350 ml broth per portion).
Rendang Padang Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian rendang padang (darker more reduced version of rendang from Padang Sumatra region with more dry bumbu) from informed pessoas (reference 250 g beef, 180 ml coconut milk, 50 g padang bumbu and 25 g toasted coconut per portion).
Tempeh Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian tempeh (fermented soybean cake cut into slices and fried with kecap manis and garlic) from informed pessoas (reference 150 g tempeh, 15 ml kecap, 10 g garlic and 20 ml oil per portion).
Tahu Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian tahu (firm tofu fried until golden outside and soft inside served with spicy sambal sauce) from informed pessoas (reference 180 g tofu, 30 g sambal, 20 ml oil and 10 g spring onion per portion).
Pisang Goreng Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian pisang goreng (Indonesian fried banana battered with crispy rice flour served hot) from informed pessoas (reference 200 g banana, 60 g rice flour, 30 g sugar and 25 ml oil per portion).
Es Cendol Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian es cendol (cold dessert with green pandan worms, coconut milk, palm sugar and shaved ice) from informed pessoas (reference 80 g pandan cendol, 150 ml coconut milk, 40 g palm sugar and 100 g ice per portion).
Kopi Luwak Recipe Indonesia Per Person Calculator
Estimates ingredients of Indonesian kopi luwak (gourmet coffee processed by civet with smoother taste and low bitterness served brewed) from informed pessoas (reference 12 g luwak coffee powder, 200 ml water, 10 g sugar and 30 ml milk per portion).
LoL Ranked Season Completion Time Calculator
Estimates lol ranked (hours to complete a League of Legends ranked season from Bronze to Platinum) from informed pessoas (reference 200 hours for 250 average matches of 30 minutes with 60 percent winrate in duo).
LoL CS Per Minute Jungle Calculator
Estimates lol cs jungla (optimal creep score per minute for a Diamond elo jungler in League of Legends) from informed pessoas (reference 6.5 CS per minute in jungle with buff and camp clear every 100 seconds).
Dota2 Ranked Season Completion Time Calculator
Estimates dota2 ranked (hours to complete a Dota 2 ranked season from Herald to Ancient with calibration) from informed pessoas (reference 240 hours for 200 average matches of 40 minutes with 55 percent winrate solo MMR).
Dota2 GPM XPM Calculator
Estimates dota2 gpm xpm (average gold per minute and experience per minute for a Divine elo carry in Dota 2) from informed pessoas (reference 650 GPM and 700 XPM with neutral camp, lane and Roshan farm in lategame).
SMITE Ranked Season Completion Time Calculator
Estimates smite ranked (hours to complete a SMITE Conquest ranked season from Bronze to Diamond) from informed pessoas (reference 180 hours for 220 average matches of 28 minutes with 55 percent winrate in duo).
HOTS Objective Match Time Calculator
Estimates hots objetivo (average minutes to complete a Heroes of the Storm match focusing on map objectives) from informed pessoas (reference 20 minutes per match with 3 to 4 map objectives like Boss, Mercenaries and Tributes).
Paragon Match Time Calculator
Estimates paragon (minutes to complete a match in Paragon or Predecessor reboot MOBA with 5 heroes and Inhibitors) from informed pessoas (reference 35 minutes per match with 3 lanes, jungle and push against enemy Core).
Paladins Season Completion Time Calculator
Estimates paladins temporada (hours to complete Paladins season pass unlocking all cosmetic items) from informed pessoas (reference 90 hours with daily and weekly missions for 80 battle pass levels).
Overwatch Season Completion Time Calculator
Estimates overwatch temporada (hours to complete Overwatch 2 season pass unlocking all rewards) from informed pessoas (reference 100 hours for 80 battle pass levels with daily and weekly missions).
Rocket Arena Season Completion Time Calculator
Estimates rocket arena (hours to complete a Rocket Arena season with Mega Blast Pass and characters) from informed pessoas (reference 70 hours to unlock all 10 heroes with 50 level Mega Blast Pass cosmetics).
Quake Champions Season Completion Time Calculator
Estimates quake champions (hours to complete a Quake Champions season with fast arena combat) from informed pessoas (reference 60 hours from Bronze to Diamond with 200 matches of 10 minutes in Duel or Deathmatch).
Mobile Legends Season Completion Time Calculator
Estimates mobile legends (hours to complete a Mobile Legends Bang Bang ranked season from Warrior to Mythic) from informed pessoas (reference 220 hours for 350 average matches of 15 minutes with 60 percent winrate in squad).
Honor of Kings Season Completion Time Calculator
Estimates honor of kings (hours to complete a Honor of Kings ranked season from Beginner to King) from informed pessoas (reference 240 hours for 400 average matches of 14 minutes with 58 percent winrate in duo).
Relay Connection Edges Pagination Calculator
Estimates relay edges (number of edges in a Relay Connection to paginate a list by cursor) from informed paginas (reference 25 edges per page with base64 forward cursor and pageInfo hasNextPage in Relay spec).
Relay Cursor Pagination Bytes Calculator
Estimates relay cursor (size in bytes of an opaque base64 cursor in Relay forward pagination with offset) from informed chars (reference 24 bytes per base64 cursor encoding numeric id and timestamp in cursor:1234567890 format).
Relay Mutation Payload Bytes Calculator
Estimates relay mutation (Relay mutation payload size with clientMutationId and Input type) from informed fields (reference 320 bytes per mutation payload with UUID clientMutationId, 5 field input and average response).
Relay Subscription Topic Throughput Calculator
Estimates relay subscription (messages per second in a Relay Subscription per PubSub topic with WebSocket) from informed clients (reference 50 messages per second per topic with 1 to N fanout via Redis PubSub).
GraphQL Yoga RPS Throughput Calculator
Estimates graphql yoga (GraphQL Yoga throughput in requests per second on Node.js with Envelop plugins) from informed workers (reference 3500 rps per Node worker with small 5 field query and no complex dataloader).
GraphQL Mercurius RPS Throughput Calculator
Estimates graphql mercurius (Mercurius Fastify adapter throughput in requests per second with JIT) from informed workers (reference 8000 rps per Node Fastify worker with JIT compiler enabled and simple query).
GraphQL Pothos RPS Throughput Calculator
Estimates graphql pothos (Pothos schema builder throughput in requests per second on Yoga or Apollo) from informed workers (reference 3200 rps per Node worker with type-safe builder and prisma and relay plugins).
GraphQL Nexus RPS Throughput Calculator
Estimates graphql nexus (Nexus schema builder throughput in requests per second with TypeScript codegen) from informed workers (reference 3000 rps per Node Apollo worker with Nexus automatic type codegen).
GraphQL Schema Stitching RPS Throughput Calculator
Estimates graphql stitching (schema stitching throughput in requests per second with 5 merged subgraphs) from informed workers (reference 1200 rps per Node gateway worker with 5 subgraphs and shared type merge).
GraphQL Defer Stream Time Calculator
Estimates graphql defer (total time in milliseconds to deliver a payload with defer directive and incremental stream) from informed chunks (reference 280 ms for 4 deferred chunks with first chunk at 80 ms and following at 60 ms each).
GraphQL Incremental Delivery Time Calculator
Estimates graphql incremental (total time in milliseconds of Incremental Delivery spec with initial and subsequent payloads) from informed payloads (reference 320 ms for 5 incremental payloads with initial at 90 ms and subsequents aggregated via multipart).
GraphQL Live Queries Time Calculator
Estimates graphql live (average time in milliseconds to deliver an update via live query with InvalidateBy) from informed updates (reference 120 ms per live update with 50 ms TTL and automatic refetch when cache key invalidates).
Derma Clinical Melanoma Treatment Time Calculator
Estimates derma melanoma (average months for adjuvant treatment of stage III melanoma with anti-PD-1 immunotherapy) from informed pessoas (reference 12 months adjuvancy with pembrolizumab or nivolumab post-surgery in stage IIIB-IIID melanoma).
Derma Clinical Basal Cell Carcinoma Treatment Time Calculator
Estimates derma cbc (average months for basal cell carcinoma treatment with Mohs micrographic surgery and follow-up) from informed pessoas (reference 2 months between Mohs excision, healing and first clinical dermatology review).
Derma Clinical Squamous Cell Carcinoma Treatment Time Calculator
Estimates derma cec (average months for squamous cell carcinoma treatment with surgery, wide margin and adjuvant radiotherapy) from informed pessoas (reference 4 months between surgical excision, adjuvant radiotherapy and first review in high risk).
Derma Clinical Actinic Keratosis Treatment Time Calculator
Estimates derma ceratose actinica (average months for actinic keratosis treatment with topical 5-fluorouracil or ambulatory cryotherapy) from informed pessoas (reference 3 months between 4 week 5-FU cycle, recovery and clinical review of cancerization field).
Derma Clinical Common Wart Treatment Time Calculator
Estimates derma verruga vulgar (average months for common wart treatment with cryotherapy, salicylic acid or topical imiquimod) from informed pessoas (reference 3 months with cryotherapy sessions every 2 weeks and 17 percent daily salicylic acid).
Derma Clinical Plantar Wart Treatment Time Calculator
Estimates derma verruga plantar (average months for plantar wart treatment with cantharidin, deep cryotherapy and potent keratolytic) from informed pessoas (reference 5 months due to thicker plantar skin and need for debridement between sessions).
Derma Clinical Condyloma Treatment Time Calculator
Estimates derma condiloma (average months for genital condyloma acuminata treatment with imiquimod, podophyllotoxin or cryotherapy) from informed pessoas (reference 4 months including 16 week imiquimod cycle and reviews for HPV recurrence).
Derma Clinical Sebaceous Cyst Treatment Time Calculator
Estimates derma cisto sebaceo (average months for surgical treatment of epidermal or sebaceous cyst with complete capsule excision) from informed pessoas (reference 2 months between ambulatory excision, suture removal and complete healing).
Derma Clinical Lipoma Treatment Time Calculator
Estimates derma lipoma (average months for surgical treatment of subcutaneous lipoma with fusiform excision and suture) from informed pessoas (reference 2 months between ambulatory fusiform excision, suture removal and linear healing).
Derma Clinical Cystic Acne Treatment Time Calculator
Estimates derma acne cistica (average months for severe nodulocystic acne treatment with cumulative dose oral isotretinoin) from informed pessoas (reference 7 months for 120-150 mg/kg cumulative isotretinoin dose with laboratory monitoring).
Derma Clinical Phymatous Rosacea Treatment Time Calculator
Estimates derma rosacea fimatosa (average months for phymatous rosacea treatment with isotretinoin and CO2 nasal reshaping laser) from informed pessoas (reference 9 months between isotretinoin, ablative CO2 laser and rhinophyma reshaping healing).
Derma Clinical Severe Hidradenitis Suppurativa Treatment Time Calculator
Estimates derma hs grave (average months for severe Hurley III hidradenitis suppurativa treatment with adalimumab and wide surgery) from informed pessoas (reference 14 months between biological adalimumab induction, wide excision and secondary intention healing).
Korean Tteokbokki Recipe Calculator
Estimates korean tteokbokki recipe (grams of garaetteok rice cakes, gochujang, anchovy and scallion per person for spicy street tteokbokki) from informed pessoas (reference 320 g per person with 200 g garaetteok, 2 tbsp gochujang, anchovy dashi broth and boiled egg).
Korean Bibimbap Recipe Calculator
Estimates korean bibimbap recipe (grams of rice, namul vegetables, marinated beef and gochujang per person for traditional bibimbap) from informed pessoas (reference 480 g per person with 200 g rice, spinach namul, bean sprouts, carrot, zucchini and fried egg).
Korean Kimchi Jjigae Recipe Calculator
Estimates korean kimchi jjigae recipe (grams of aged kimchi, pork belly, tofu and scallion per person for spicy stew) from informed pessoas (reference 450 g per person with 200 g fermented old kimchi, 100 g pork belly and silken tofu).
Korean Sundubu Jjigae Recipe Calculator
Estimates korean sundubu jjigae recipe (grams of fresh silken tofu, seafood, gochugaru and raw egg per person for boiling stew) from informed pessoas (reference 400 g per person with 300 g sundubu, mussel, shrimp and raw egg on serving).
Korean Doenjang Jjigae Recipe Calculator
Estimates korean doenjang jjigae recipe (grams of doenjang soybean paste, zucchini, tofu, potato and mushroom per person for soybean stew) from informed pessoas (reference 420 g per person with 2 tbsp doenjang, anchovy broth and seasonal vegetables).
Korean Jjajangmyeon Recipe Calculator
Estimates korean jjajangmyeon recipe (grams of wheat noodles, black chunjang paste, pork, onion and zucchini per person for black bean noodles) from informed pessoas (reference 520 g per person with 250 g fresh noodles, 3 tbsp fried chunjang and diced pork).
Korean Jjamppong Recipe Calculator
Estimates korean jjamppong recipe (grams of noodles, mixed seafood, gochugaru and vegetables per person for spicy korean-chinese soup) from informed pessoas (reference 540 g per person with 250 g noodles, squid, shrimp, mussel and toasted gochugaru).
Korean Naengmyeon Recipe Calculator
Estimates korean naengmyeon recipe (grams of cold buckwheat noodles, dongchimi beef broth, asian pear and boiled egg per person for cold noodles) from informed pessoas (reference 460 g per person with 180 g noodles, icy broth and gyeoja mustard).
Korean Bingsu Recipe Calculator
Estimates korean bingsu recipe (grams of milk shaved ice, sweet azuki bean, tteok and condensed milk per person for korean dessert) from informed pessoas (reference 380 g per person with 250 g milk ice, patbingsu paste, fruit and condensed milk).
Korean Hotteok Recipe Calculator
Estimates korean hotteok recipe (grams of flour, yeast, brown sugar filling, cinnamon and peanut per person for korean street pancake) from informed pessoas (reference 220 g per person with 2 hotteok filled with brown sugar, cinnamon and toasted peanut).
Korean Gimbap Recipe Calculator
Estimates korean gimbap recipe (grams of rice, gim seaweed, carrot, spinach, danmuji and omelette per person for korean roll) from informed pessoas (reference 320 g per person with 1 full gimbap roll of 8 slices and sesame oil in rice).
Korean Eomuk Recipe Calculator
Estimates korean eomuk recipe (grams of fish cake skewers, anchovy broth, radish and scallion per person for street odeng) from informed pessoas (reference 280 g per person with 3 skewered fish cakes and hot broth served in cup).
Korean Mandu Recipe Calculator
Estimates korean mandu recipe (grams of wheat dough, pork, tofu, kimchi and scallion filling per person for korean dumpling) from informed pessoas (reference 260 g per person with 6 steamed or fried kunmandu and ganjang sauce).
TFT Ranked Season Time Calculator
Estimates tft teamfight tactics (average hours to climb from Iron to Master in TFT ranked considering 35 games per division with top4) from informed pessoas (reference 180 hours per season with 35 min matches and top4 in at least 50 percent of games).
TFT Division Promotion Points Calculator
Estimates tft LP (average league points needed for promotion between divisions considering LP gain per top4 and loss in bot4 of TFT) from informed pessoas (reference 100 LP per division with average gain 25 LP per top1 and 18 LP loss per bot4).
Auto Chess Ranked Season Time Calculator
Estimates auto chess (average hours to complete Drodo Auto Chess ranked climbing from Pawn to King considering PVE and PVP rounds) from informed pessoas (reference 220 hours per season with 40 min matches and progression via accumulated candies).
Dota Underlords Ranked Season Time Calculator
Estimates dota underlords (average hours to complete Valve Underlords ranked climbing from Upstart to Lord considering 30-40 min matches) from informed pessoas (reference 160 hours per season with consistent top4 to gradually climb ranks).
Hearthstone Battlegrounds Season Time Calculator
Estimates hearthstone battlegrounds (average hours to reach 8000 MMR in Hearthstone Battlegrounds considering 20-25 min matches and top4) from informed pessoas (reference 140 hours with top4 in 55 percent and MMR gains of 50 to 150 per match).
Hearthstone Battlegrounds MMR Score Calculator
Estimates hearthstone battlegrounds MMR (average MMR points gained per season in Battlegrounds considering matches and top4 rate) from informed pessoas (reference 4500 MMR net gain per season for casual player starting at 4500 up to 9000 MMR).
Magic Arena BO1 Season Time Calculator
Estimates magic the gathering arena BO1 (average hours to reach Mythic in MTG Arena BO1 ranked considering 8-12 min matches and winrate) from informed pessoas (reference 110 hours per season with 55 percent winrate up to constructed Mythic).
Legends of Runeterra Season Time Calculator
Estimates legends of runeterra (average hours to reach Master in Legends of Runeterra considering 10-15 min matches and division progression) from informed pessoas (reference 120 hours per season with 55 percent winrate and LP progression of LoR).
Marvel Snap Season Time Calculator
Estimates marvel snap (average hours to reach Infinite in Marvel Snap considering 3-5 min matches with cube and Snap mechanic) from informed pessoas (reference 90 hours per season with ranking based on cubes and Snap computed each turn).
Pokemon TCG Live Season Time Calculator
Estimates pokemon tcg live (average hours to complete Pokemon TCG Live ranked considering 12-18 min matches and meta decks progression) from informed pessoas (reference 130 hours per season with meta decks and 55 percent winrate in PTCGL).
Yu-Gi-Oh Master Duel Season Time Calculator
Estimates yu-gi-oh master duel (average hours to reach Master in Yu-Gi-Oh Master Duel considering 5-10 min quick duels and DP progression) from informed pessoas (reference 100 hours per season starting from Rookie up to Master with tier 0 meta decks).
Shadowverse Season Time Calculator
Estimates shadowverse (average hours to complete Shadowverse Cygames ranked considering 8-14 min matches and Master Point progression) from informed pessoas (reference 120 hours per season to reach Grand Master with 99k MP in Shadowverse).
Eternal Card Game Season Time Calculator
Estimates eternal card game (average hours to reach Master in Eternal CCG considering 10-15 min matches and Throne progression) from informed pessoas (reference 115 hours per season with 55 percent winrate in Eternal Throne ranked).
Go Goroutine Spawn Time Calculator
Estimates go runtime goroutine spawn (average nanoseconds to spawn a goroutine via go func in current Go runtime considering G-P-M schedule) from informed pessoas (reference 350 ns per spawn in Go 1.22 with GMP scheduler on AMD Ryzen 7 CPU).
Go Goroutines Throughput Calculator
Estimates go runtime throughput (goroutines created per second in one busy core spawning continuously in Go runtime) from informed pessoas (reference 2800000 goroutines per second in saturated core of pure spawn without doing work).
Go Channel Throughput Calculator
Estimates go channel throughput (messages per second via unbuffered channel between two goroutines in producer-consumer pipeline without work) from informed pessoas (reference 12000000 messages per second on unbuffered chan int Go 1.22 in simple pipeline).
Go Buffered Channel Overhead Calculator
Estimates go channel buffered overhead (additional heap bytes per buffered channel in Go with hchan struct and fixed slot elements) from informed pessoas (reference 96 bytes hchan header plus type size times capacity of buffered channel).
Go Mutex Overhead Calculator
Estimates go sync mutex (average nanoseconds overhead of one Lock and Unlock pair on sync.Mutex Go without contention) from informed pessoas (reference 18 ns per Lock/Unlock pair on atomic fastpath of sync.Mutex without contention in Go 1.22).
Go RWMutex Overhead Calculator
Estimates go sync RWMutex (average nanoseconds overhead RLock RUnlock on sync.RWMutex Go with readers and few writers) from informed pessoas (reference 28 ns per RLock/RUnlock pair on sync.RWMutex fastpath without writers in Go 1.22).
Go WaitGroup Overhead Calculator
Estimates go sync WaitGroup (average nanoseconds overhead Add Done Wait on sync.WaitGroup Go per synchronized goroutine) from informed pessoas (reference 22 ns per Add/Done pair with atomic counter on sync.WaitGroup Go 1.22).
Go Context Cancel Overhead Calculator
Estimates go context cancel (average nanoseconds overhead context.WithCancel plus cancel call on Go context package) from informed pessoas (reference 220 ns per WithCancel plus cancel pair propagated with Done channel closed in Go 1.22 context).
Go Select Statement Overhead Calculator
Estimates go select statement (average nanoseconds to execute a select with 2-4 cases on Go channels with 1 case ready) from informed pessoas (reference 45 ns per select with 2 cases and 1 ready in Go 1.22 without default case dispatch).
Go GC Pause Calculator
Estimates go garbage collector pause (milliseconds stop-the-world of Go GC per heap in megabytes considering GOGC 100 and tricolor mark) from informed pessoas (reference 0.5 ms STW per 1024 MB heap in Go 1.22 concurrent tricolor GC with GOGC 100).
Go Build Time Calculator
Estimates go build (average seconds to go build a Go project with chained packages considering incremental compilation and GOCACHE) from informed pessoas (reference 45 s for project with 100 packages in clean build without cache on MacBook M1 Pro).
Go Test Time Calculator
Estimates go test (average seconds to go test in a Go project with packages considering GOMAXPROCS parallelism and short unit tests) from informed pessoas (reference 60 s for project with 100 unit test packages with go test all and parallel 8).
Pulmonology FEV1 Calculator
Estimates pulmonology FEV1 (liters predicted of forced expiratory volume in first second on spirometry considering patient age height gender) from informed pessoas (reference 3.5 L for average adult man 170 cm 40 years per GLI 2012 equations).
Pulmonology FVC Calculator
Estimates pulmonology FVC (liters predicted of forced vital capacity on spirometry considering patient age height gender) from informed pessoas (reference 4.5 L for average adult man 170 cm 40 years per GLI 2012 ATS ERS equations).
Pulmonology FEV1/FVC Ratio Calculator
Estimates pulmonology FEV1/FVC (percent ratio FEV1 over FVC on standard spirometry for obstructive diagnosis below 70 percent) from informed pessoas (reference 78 percent normal in adult without obstructive disorder per GOLD 2024 COPD criteria).
Pulmonology PEF Peak Flow Calculator
Estimates pulmonology PEF (liters per minute predicted of peak expiratory flow peak flow for home asthma monitoring) from informed pessoas (reference 580 L/min for average adult man 40 years 170 cm on Wright peak flow meter for asthma).
Pulmonology TLC Calculator
Estimates pulmonology TLC (liters predicted of total lung capacity measured by plethysmography for pulmonary restriction diagnosis) from informed pessoas (reference 6.5 L for average adult man 170 cm 40 years by plethysmography GLI 2017).
Pulmonology RV Residual Volume Calculator
Estimates pulmonology RV (liters predicted of residual lung volume measured by plethysmography or helium dilution in adult) from informed pessoas (reference 2.0 L for average adult man 170 cm 40 years as residual volume post complete expiration).
Pulmonology DLCO Calculator
Estimates pulmonology DLCO (carbon monoxide diffusing capacity in mL/min/mmHg measured in single breath for alveolocapillary evaluation) from informed pessoas (reference 28 mL/min/mmHg for average adult man 170 cm 40 years by single-breath technique ATS ERS).
Pulmonology Arterial pH Calculator
Estimates pulmonology arterial pH (pH units in arterial blood gas on room air for acid base evaluation in adult patient) from informed pessoas (reference 7.40 normal between 7.35 and 7.45 in arterial blood gas on room air in healthy adult).
Pulmonology PaO2 Calculator
Estimates pulmonology PaO2 (arterial oxygen partial pressure in mmHg in arterial blood gas on room air sea level for adult) from informed pessoas (reference 95 mmHg on room air sea level in young healthy adult without hypoxemia).
Pulmonology PaCO2 Calculator
Estimates pulmonology PaCO2 (arterial carbon dioxide partial pressure in mmHg in arterial blood gas on room air for adult) from informed pessoas (reference 40 mmHg normal between 35 and 45 on room air in healthy adult without hypoventilation).
Pulmonology HCO3 Bicarbonate Calculator
Estimates pulmonology HCO3 (arterial bicarbonate in mEq/L in arterial blood gas for metabolic acid base component evaluation) from informed pessoas (reference 24 mEq/L normal between 22 and 26 in healthy adult without metabolic disorder).
Pulmonology SpO2 Arterial Saturation Calculator
Estimates pulmonology SpO2 (arterial percent oxyhemoglobin saturation measured by pulse oximeter in healthy adult on room air sea level) from informed pessoas (reference 98 percent SpO2 in young healthy adult on room air without desaturation).
Estimates israeli hummus recipe (grams of cooked chickpea, tahini, lemon, garlic and olive oil per person for creamy classic israeli hummus) from informed pessoas (reference 220 g per person with 150 g chickpea, 60 g tahini, garlic, lemon and extra virgin olive oil with paprika).
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Estimates israeli falafel recipe (grams of soaked raw chickpea, parsley, cilantro, onion and cumin per person for street fried israeli falafel) from informed pessoas (reference 200 g per person with 6 balls of 30 g served in pita with salad and tahini).
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Estimates israeli shakshuka recipe (grams of ripe tomato, bell pepper, onion, garlic, paprika and eggs per person for breakfast israeli shakshuka) from informed pessoas (reference 380 g per person with 2 poached eggs in spiced tomato sauce served with challah bread).
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Estimates israeli sabich recipe (grams of pita, fried eggplant, boiled egg, israeli salad and amba per person for iraqi-israeli street sabich sandwich) from informed pessoas (reference 360 g per person with 1 pita 100 g, eggplant slices, egg, potato and mango amba).
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Estimates israeli bourekas recipe (grams of puff pastry, feta cheese, potato, spinach or mushroom filling and sesame per person for bakery israeli bourekas) from informed pessoas (reference 200 g per person with 2 bourekas of 90 g filled with feta or potato and toasted sesame).
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Estimates israeli malabi recipe (grams of milk, cornstarch, rose water, raspberry syrup and pistachio per person for israeli malabi pudding) from informed pessoas (reference 220 g per person with 180 g milk pudding with rose water, rose syrup and chopped pistachio).
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Estimates jewish cholent recipe (grams of beef, beans, barley, potato and kishke per person for ashkenazi slow-cooked shabbat cholent stew) from informed pessoas (reference 480 g per person with 200 g beef, white beans, pearl barley, potato and onion cooked 12 hours).
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Estimates jewish matzo ball soup recipe (grams of matzo meal, egg, oil, chicken broth and vegetables per person for ashkenazi matzo ball dumpling soup) from informed pessoas (reference 420 g per person with 2 kneidlach of 80 g in chicken broth with carrot and dill).
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Estimates jewish latkes recipe (grams of grated potato, onion, egg, flour and oil per person for ashkenazi hanukkah potato latkes pancakes) from informed pessoas (reference 260 g per person with 4 latkes of 50 g fried in oil served with sour cream and apple sauce).
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Estimates jewish challah recipe (grams of flour, egg, honey, yeast and oil per person for ashkenazi braided shabbat challah bread) from informed pessoas (reference 180 g per person with 6-strand braided bread brushed with yolk and sesame or poppy seed served at kiddush).
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Estimates jewish rugelach recipe (grams of cream cheese dough, chocolate, raspberry, cinnamon and walnut filling per person for ashkenazi rugelach sweet rolls) from informed pessoas (reference 150 g per person with 5 rugelach of 30 g filled with chocolate or raspberry and walnuts).
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Estimates jewish tsimmes recipe (grams of carrot, sweet potato, prune, honey and cinnamon per person for ashkenazi sweet rosh hashanah tsimmes) from informed pessoas (reference 300 g per person with carrot, sweet potato, prune, honey, cinnamon and orange juice slow cooked).
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Estimates jewish blintzes recipe (grams of thin pancake dough, ricotta or farmer cheese filling, butter and syrup per person for ashkenazi shavuot blintzes) from informed pessoas (reference 280 g per person with 3 blintzes filled with farmer cheese and served with sour cream and strawberry).
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Estimates Doom FPS (average hours to complete Doom 1993 by id Software in all 27 classic maps with 100 percent secrets and kills in Ultra-Violence) from informed pessoas (reference 18 hours to beat Knee-Deep, Shores of Hell, Inferno and Thy Flesh Consumed episodes with all secrets).
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Estimates Doom 2 FPS (average hours to complete Doom 2 Hell on Earth in 32 maps with 100 percent secrets and kills in UV in id Software Doom 2) from informed pessoas (reference 22 hours to beat Doom 2 Hell on Earth including Wolfenstein and Grosse secret maps).
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Estimates Quake FPS (average hours to complete Quake 1996 by id Software with Trent Reznor soundtrack in 4 episodes plus Shub-Niggurath on Nightmare 100 percent) from informed pessoas (reference 15 hours to beat 4 episodes including Dimension of the Doomed and Realm of Black Magic).
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Estimates Quake 2 FPS (average hours to complete Quake 2 by id Software on Stroggos with BFG10K in 11 units on Hard 100 percent secrets) from informed pessoas (reference 16 hours to beat Stroggos campaign with BFG10K and kill Makron with Railgun on Hard).
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Estimates Quake 3 Arena FPS (average hours to complete Quake 3 Arena Single Player campaign defeating Xaero on Tier 7 in Nightmare) from informed pessoas (reference 14 hours to climb 7 bot tiers from Crash to Xaero with rocket jump and railgun in Q3 arenas).
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Estimates Unreal FPS (average hours to complete Unreal 1998 by Epic Games on Na Pali defeating Skaarj Queen on Hard 100 percent) from informed pessoas (reference 20 hours to beat Na Pali campaign with ASMD, Razorjack and Eightball in Skaarj planet).
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Estimates Unreal Tournament FPS (average hours to complete UT99 single player campaign by Epic defeating Grand Champion Xan on Hardcore) from informed pessoas (reference 12 hours to beat Deathmatch Capture the Flag Domination Assault UT99 ladder up to Xan Mark IV).
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Estimates Half-Life FPS (average hours to complete Half-Life 1998 by Valve with Gordon Freeman in Black Mesa to Xen on Hard 100 percent) from informed pessoas (reference 14 hours to beat Black Mesa Inbound, We Got Hostiles, Surface Tension, Xen and Nihilanth with crowbar and gluon gun).
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Estimates Half-Life 2 FPS (average hours to complete Half-Life 2 by Valve with Gordon Freeman in City 17 up to Dr. Breen at the Citadel on Hard 100 percent) from informed pessoas (reference 18 hours to beat Route Kanal, Highway 17, Nova Prospekt and Citadel with Source physics gravity gun).
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Estimates CSGO FPS (average hours to climb from Silver to Global Elite in Counter-Strike Global Offensive Valve competitive considering 45 min MM matches) from informed pessoas (reference 280 hours to reach Global Elite with 55 percent winrate on Mirage, Dust2, Inferno maps).
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Estimates Counter-Strike 1.6 FPS (average hours to climb Silver to Eagle in CS 1.6 and CS Source on classic servers with bots and MM) from informed pessoas (reference 220 hours to master 1.6 with AK47 and AWP in Valve de_dust2, de_inferno and cs_office).
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Estimates Battlefield FPS (average hours to complete Battlefield DICE EA multiplayer season climbing Recruit to General rank in Conquest 64v64) from informed pessoas (reference 200 hours per season to reach General in Battlefield with 1.5 K/D in Conquest Breakthrough).
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Estimates Call of Duty Modern Warfare FPS (average hours to complete original Modern Warfare by Infinity Ward campaign with Soap MacTavish on Veteran 100 percent) from informed pessoas (reference 10 hours to beat All Ghillied Up, One Shot One Kill, Mile High Club on Veteran with Captain Price).
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Estimates Spring Boot startup (average seconds to boot a Spring Boot 3 application with auto-config of N beans in embedded Tomcat) from informed pessoas (reference 4.5 seconds for Spring Boot 3.2 project with 200 beans, Hibernate and embedded Tomcat in JVM Hotspot 21).
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Estimates Spring Boot throughput (average requests per second served by a Spring Boot 3 Web MVC API on embedded Tomcat with 200-thread pool) from informed pessoas (reference 18000 RPS per light JSON route in Spring Boot 3.2 embedded Tomcat with 200 thread pool on JVM 21).
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Estimates Spring Boot heap (average JVM heap megabytes consumed by Spring Boot 3 app with Hibernate JPA and cache at peak load) from informed pessoas (reference 512 MB heap in Spring Boot 3.2 Web MVC with Hibernate, Caffeine cache and HikariCP pool at peak).
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Estimates Spring Data JPA throughput (average queries per second executed by Spring Data JPA Hibernate over Postgres with HikariCP 20 pool) from informed pessoas (reference 6500 simple SELECT queries per second in Spring Data JPA with Hibernate 6, HikariCP 20 pool and Postgres 16).
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Estimates Spring WebFlux throughput (average requests per second served by Spring WebFlux reactive Netty API with Reactor backpressure) from informed pessoas (reference 32000 RPS per light JSON route in Spring WebFlux Netty with Reactor backpressure on saturated JVM 21).
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Estimates Spring Security overhead (RPS drop per route when enabling Spring Security 6 with JWT bearer in Spring Boot 3 filter chain) from informed pessoas (reference 12 percent RPS overhead added by Spring Security 6 JWT filter with OAuth2 Resource Server and BCrypt).
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Estimates Quarkus startup (average seconds to boot Quarkus 3 JVM mode application with RESTEasy Reactive and Hibernate Panache extensions) from informed pessoas (reference 1.2 seconds for Quarkus 3 JVM mode with RESTEasy Reactive, Hibernate Panache and reactive Postgres on JVM 21).
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Estimates Quarkus throughput (average requests per second served by Quarkus 3 RESTEasy Reactive API on Vert.x event loop) from informed pessoas (reference 45000 RPS per light JSON route in Quarkus 3 RESTEasy Reactive over Vert.x event loop in JVM 21 mode).
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Estimates Micronaut startup (average seconds to boot Micronaut 4 JVM mode application with compile-time AOT dependency injection) from informed pessoas (reference 1.8 seconds for Micronaut 4 JVM mode with embedded Netty and Data JDBC AOT on JVM 21 mode).
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Estimates Micronaut throughput (average requests per second served by Micronaut 4 reactive API on Netty event loop) from informed pessoas (reference 40000 RPS per light JSON route in Micronaut 4 reactive over Netty event loop on saturated JVM 21 mode).
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Estimates GraalVM native image build (average minutes to generate native binary of Spring Boot or Quarkus app with GraalVM 21 native-image AOT) from informed pessoas (reference 6 minutes for Quarkus native-image of 50 MB on GraalVM 21 with closed-world and initialize-at-build-time).
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Estimates GraalVM native image size (average megabytes of native binary generated by GraalVM 21 native-image of Quarkus or Spring Boot application) from informed pessoas (reference 75 MB for Quarkus 3 native-image with REST, Hibernate ORM Panache and reactive Postgres statically linked on GraalVM 21).
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Estimates plastic surgery rhinoplasty (average months for full rhinoplasty recovery with return to physical activity and disappearance of nasal tip edema) from informed pessoas (reference 12 months for full tip edema to resolve in primary open rhinoplasty with lateral osteotomies).
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Estimates plastic surgery mammoplasty (average months for breast augmentation recovery with subpectoral silicone implant and return to full physical activity) from informed pessoas (reference 6 months for subpectoral implant settling and return to running and weightlifting after mammoplasty).
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Estimates plastic surgery liposuction (average months for liposuction recovery with end of edema, hematoma and fibrosis and return to final shape) from informed pessoas (reference 6 months for final result of traditional tumescent liposuction with end of hardened fibrosis).
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Estimates plastic surgery abdominoplasty (average months for abdominoplasty recovery with rectus plication, horizontal scar and return to intense physical activity) from informed pessoas (reference 8 months for scar maturation and return to running and weightlifting after abdominoplasty with plication).
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Estimates plastic surgery blepharoplasty (average months for upper and lower blepharoplasty recovery with bag removal, skin resection and hidden eyelid scar) from informed pessoas (reference 3 months for eyelid scar maturation and complete edema resolution in bilateral upper blepharoplasty).
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Estimates plastic surgery rhytidoplasty (average months for facelift recovery with SMAS, extensive subcutaneous dissection and preauricular scar) from informed pessoas (reference 6 months for preauricular scar maturation and complete edema resolution in bilateral SMAS rhytidoplasty).
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Estimates plastic surgery otoplasty (average months for protruding ear correction otoplasty recovery with Mustarde and Furnas conchal suture) from informed pessoas (reference 3 months for complete edema resolution and retroauricular scar maturation in bilateral Mustarde Furnas otoplasty).
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Estimates plastic surgery mentoplasty (average months for mentoplasty projection recovery with silicone chin implant via intraoral or submental approach) from informed pessoas (reference 4 months for complete edema resolution and chin implant settling in intraoral augmentation mentoplasty).
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Estimates plastic surgery breast implant (average cc of Mentor or Motiva silicone implant for breast augmentation considering biotype, height, weight and chest width) from informed pessoas (reference 350 cc high profile implant for 165 cm 60 kg woman and 13 cm breast base via subglandular approach).
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Estimates plastic surgery botox (average units of Botox Allergan or Dysport botulinum toxin applied on upper face frontal, glabella and periocular) from informed pessoas (reference 40 units of Botox Allergan on upper third with 20U frontal, 15U glabella and 5U periocular per session).
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Estimates plastic surgery hyaluronic acid (average milliliters of Juvederm or Restylane hyaluronic acid applied on malar, nasolabial fold, lips and chin) from informed pessoas (reference 4 ml of Juvederm Voluma and Volift hyaluronic acid distributed across malar, fold and lips per session).
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Estimates plastic surgery rhinoplasty cartilage (average millimeters of septal and auricular cartilage graft used for spreader graft and tip graft in structured open rhinoplasty) from informed pessoas (reference 18 mm of septal and auricular cartilage used in open rhinoplasty with spreader and shield grafts).
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Estimates persian chelo kabab recipe (grams of basmati chelo rice and koobideh ground meat with onion, saffron and sumac per person) from informed pessoas (reference 330 g per person with 200 g chelo basmati and 130 g ground koobideh with onion, saffron and sumac).
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Estimates persian ghormeh sabzi recipe (grams of green herb stew with parsley, cilantro, fenugreek, kidney beans, dried lime and lamb per person) from informed pessoas (reference 360 g per person with 250 g lamb, fresh herbs and omani lime).
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Estimates persian fesenjan recipe (grams of ground walnut stew with pomegranate molasses and chicken or duck slow simmered per person) from informed pessoas (reference 340 g per person with 150 g ground walnut, pomegranate molasses and 180 g cooked chicken).
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Estimates persian tahdig recipe (grams of crispy basmati rice crust at the pan bottom with clarified butter and saffron per person) from informed pessoas (reference 160 g per person with 140 g crispy basmati and clarified butter with saffron).
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Estimates persian tahchin recipe (grams of saffron rice cake with yogurt, egg yolks and roasted chicken per person) from informed pessoas (reference 280 g per person with 200 g basmati, yogurt, saffron and 80 g shredded chicken).
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Estimates persian ash reshteh recipe (milliliters of thick herb soup with legumes, reshteh noodles, kashk and fried onion per person) from informed pessoas (reference 400 ml per person with 80 g mixed legumes, reshteh and kashk).
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Estimates persian mirza ghasemi recipe (grams of smoked eggplant with tomato, garlic, saffron and egg per person) from informed pessoas (reference 240 g per person with 180 g smoked eggplant and 60 g tomato and egg).
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Estimates persian dolmeh recipe (grams of grape leaves or peppers stuffed with rice, ground meat and herbs per person) from informed pessoas (reference 260 g per person with 4 dolmehs of 65 g each and tomato sauce).
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Estimates persian zereshk polo recipe (grams of basmati rice with barberries, saffron and roasted chicken per person) from informed pessoas (reference 310 g per person with 200 g basmati, 30 g barberry and 80 g chicken).
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Estimates persian baghali polo recipe (grams of basmati rice with green fava beans, fresh dill and lamb per person) from informed pessoas (reference 300 g per person with 200 g basmati, 50 g fava and dill with 50 g lamb).
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Estimates persian faloodeh recipe (grams of vermicelli sorbet with rose water, sicilian lemon juice and pomegranate syrup per person) from informed pessoas (reference 200 g per person with fine vermicelli, rose water and pomegranate syrup).
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Estimates persian saffron rice recipe (grams of basmati rice perfumed with pure saffron and clarified butter per person) from informed pessoas (reference 220 g per person with 200 g basmati and 20 g clarified butter with saffron).
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Estimates persian chai recipe (milliliters of Ceylon or Earl Grey black tea served in samovar with sugar cubes and cardamom per person) from informed pessoas (reference 250 ml per person with black tea, cardamom and cube sugar).
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Estimates Minecraft total time (hours to complete survival 100% including Ender Dragon, Wither, all achievements, biomes and villages) from informed pessoas (reference 140 hours for single player survival 100% with all achievements).
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Estimates Minecraft block quantity (total stone, wood and cobblestone blocks needed to build a medium medieval castle with 4 towers) from informed pessoas (reference 12000 average blocks per medieval castle with towers and walls).
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Estimates Minecraft redstone quantity (blocks of redstone, repeaters, comparators and pistons needed for medium auto-farm circuit) from informed pessoas (reference 240 components in redstone auto-farm circuit).
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Estimates Terraria time (hours to complete game 100% including Moon Lord, all bosses, seasonal events and biomes in hardmode) from informed pessoas (reference 90 hours for 100% Terraria with Moon Lord and all hardmode bosses).
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Estimates Terraria block quantity (total stone, wood and slate blocks needed to build a safe base with NPC rooms) from informed pessoas (reference 3500 average blocks per complete base with 8 NPCs and defenses).
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Estimates Stardew Valley time (hours to complete 100% including Community Center, all fish, farms, missions and marriage) from informed pessoas (reference 200 hours for 100% with all achievements and relationships).
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Estimates Coral Island time (hours to complete 100% including coral reef restoration, all fish and critters, missions and marriage) from informed pessoas (reference 170 hours for 100% Coral Island with complete restoration).
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Estimates Graveyard Keeper time (hours to complete 100% including three DLCs Stranger Sins, Game of Crone and Better Save Soul, achievements and alt endings) from informed pessoas (reference 100 hours for 100% with three DLCs and all achievements).
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Estimates No Mans Sky time (hours to complete one galaxy including Atlas, Artemis and Apollo missions and planetary system exploration) from informed pessoas (reference 120 hours to reach galaxy center with main missions).
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Estimates Subnautica time (hours to complete 100% including main Aurora ending, all deep biomes, leviathans and blueprints) from informed pessoas (reference 60 hours for 100% with Aurora ending and all leviathans).
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Estimates Deep Rock Galactic time (hours to complete all main Mining, Salvage and Egg Hunt missions across four classes up to Gold Promotion) from informed pessoas (reference 80 hours for Gold Promotion in four classes Driller Engineer Gunner Scout).
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Estimates Valheim time (hours to complete all five bosses Eikthyr, Elder, Bonemass, Moder and Yagluth in default solo world) from informed pessoas (reference 110 hours for all five Valheim bosses in default solo mode).
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Estimates 7 Days to Die time (hours to complete multiple Bloodmoon hordes, levels up to Tier 6 and Navezgane map with safe base) from informed pessoas (reference 130 hours to survive 30 Bloodmoons and reach Tier 6).
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Estimates Blazor Server startup time (average seconds to start Blazor Server app in .NET 9 with SignalR hub and Razor components on Kestrel) from informed pessoas (reference 2.8 seconds for Blazor Server .NET 9 startup with SignalR and Razor components).
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Estimates Blazor WebAssembly startup time (average seconds to start in browser after downloading .NET runtime bundle and AOT assemblies) from informed pessoas (reference 4.5 seconds for Blazor WASM startup with AOT runtime and trimmed assemblies).
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Estimates Blazor throughput (average requests per second on Server-side routes with active SignalR on default Kestrel hardware) from informed pessoas (reference 12000 rps per Blazor Server instance with active SignalR).
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Estimates .NET MAUI build time (average seconds to compile MAUI cross-platform project for Android, iOS, Windows and MacCatalyst with XAML and Hot Reload) from informed pessoas (reference 85 seconds for MAUI multi-target build Android iOS Windows MacCatalyst).
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Estimates .NET MAUI bundle size (average megabytes of final Android APK with .NET runtime, Skia, MAUI and NuGet deps with R8 trimming) from informed pessoas (reference 38 MB for Android MAUI release APK with R8 trimming).
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Estimates ASP.NET Core MVC throughput (requests per second on controller-based endpoints with Razor Views in Kestrel on .NET 9 with response caching) from informed pessoas (reference 42000 rps per MVC instance with Razor Views and response caching).
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Estimates ASP.NET Core Minimal API throughput (requests per second on minimal map endpoints in Kestrel on .NET 9 with source generators and AOT) from informed pessoas (reference 68000 rps per Minimal API instance with source generators and AOT).
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Estimates SignalR throughput (average WebSocket connections per ASP.NET Core node with Redis backplane and MessagePack protocol) from informed pessoas (reference 55000 WebSocket connections per SignalR node with Redis backplane and MessagePack).
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Estimates ASP.NET Core gRPC throughput (requests per second on unary gRPC endpoints with HTTP2 multiplexing and protocol buffer serialization) from informed pessoas (reference 120000 rps per unary gRPC endpoint with HTTP2 multiplexing).
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Estimates Entity Framework Core throughput (queries per second on LINQ queries translated to SQL Server with DbContext pooling and compiled queries) from informed pessoas (reference 25000 queries per second EF Core 9 with DbContext pooling and compiled queries).
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Estimates Dapper throughput (queries per second on raw SQL queries mapped to POCO with reader cache and SqlConnection pooling) from informed pessoas (reference 95000 queries per second Dapper with SqlConnection pool and reader cache).
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Estimates Microsoft Orleans throughput (messages per second between virtual actor grains in cluster with Azure Storage clustering and in-memory grain state) from informed pessoas (reference 180000 messages per second between Orleans grains with Azure Storage clustering).
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Estimates oncology chemotherapy dose (average milligrams of doxorubicin or paclitaxel calculated by body surface area using Du Bois formula) from informed pessoas (reference 560 mg average per session in 1.7 m2 average adult with doxorubicin or paclitaxel).
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Estimates oncology radiotherapy dose (total Gy accumulated across 30 daily 2 Gy fractions for solid tumor with IMRT or VMAT) from informed pessoas (reference 60 Gy total in 30 fractions of 2 Gy IMRT or VMAT for solid tumor).
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Estimates oncology immunotherapy dose (average milligrams of pembrolizumab or nivolumab calculated by body weight in mg/kg every 21 days) from informed pessoas (reference 240 mg pembrolizumab or nivolumab every 21 days in 80 kg adult).
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Estimates oncology hormone therapy dose (monthly milligrams of tamoxifen or anastrozole in adjuvant therapy for hormone-sensitive breast cancer) from informed pessoas (reference 20 mg daily tamoxifen or 1 mg daily anastrozole in hormone-sensitive breast adjuvant).
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Estimates oncology surgery time (average months to recover from solid tumor oncologic resection including healing and return to activities) from informed pessoas (reference 6 months to recover from solid oncologic resection with healing and return).
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Estimates oncology TNM breast cancer (average stage I to IV by AJCC 8th edition with tumor size T, lymph nodes N and metastasis M) from informed pessoas (reference average stage II AJCC 8 for T2 N0 M0 invasive ductal breast cancer).
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Estimates oncology TNM lung cancer (average stage I to IV by AJCC 8th edition with tumor T, nodal N and metastatic M in NSCLC) from informed pessoas (reference average stage III AJCC 8 non-small cell lung cancer T3 N2 M0).
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Estimates oncology TNM colorectal cancer (average stage I to IV by AJCC 8th edition with tumor T, lymph node N and metastatic M) from informed pessoas (reference average stage III AJCC 8 colorectal cancer T3 N1 M0 adenocarcinoma).
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Estimates oncology TNM prostate cancer (average stage I to IV by AJCC 8th edition with PSA, Gleason and clinical T for prostatic adenocarcinoma) from informed pessoas (reference stage II AJCC 8 prostate cancer adenocarcinoma T2 N0 M0 Gleason 7).
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Estimates oncology breast screening (average start age in years for biennial mammography in average-risk woman without family history per INCA) from informed pessoas (reference 50 years to start biennial mammography in average-risk woman per INCA).
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Estimates oncology prostate screening (average start age in years for PSA dosage and digital rectal exam in average-risk man without family history) from informed pessoas (reference 50 years to start PSA dosage and digital rectal exam in average-risk man).
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Estimates oncology colorectal screening (average start age in years for colonoscopy in average-risk adult without family history of polyps) from informed pessoas (reference 45 years to start colonoscopy in average-risk adult without polyps).
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Estimates Lebanese shawarma recipe (grams of lamb or chicken marinated in garlic, sumac and spices, served in pita bread with tahini and vegetables per person) from informed pessoas (reference 250 g of marinated meat per person with pita, tahini and salad).
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Estimates Lebanese kibbeh recipe (grams of ground lamb mixed with fine bulgur wheat and onion, stuffed with pine nuts and fried per person) from informed pessoas (reference 180 g per person with 100 g meat, 60 g bulgur and 20 g pine nuts).
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Estimates Lebanese tabbouleh recipe (grams of chopped parsley salad, fine bulgur wheat, tomato, onion, sicilian lemon and olive oil per person) from informed pessoas (reference 200 g per person with 80 g parsley, 50 g tomato, 30 g bulgur).
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Estimates Lebanese fattoush recipe (grams of lettuce, cucumber, tomato, onion, pepper salad with toasted pita seasoned with sumac per person) from informed pessoas (reference 220 g per person with fresh vegetables, sumac and crispy pita).
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Estimates Lebanese fattah recipe (grams of layered dish of dry pita, rice, chickpea, yogurt and seasoned lamb per person) from informed pessoas (reference 350 g per person with 100 g rice, 80 g lamb, 80 g chickpea and yogurt).
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Estimates Lebanese mansaf recipe (grams of rice with lamb cooked in jameed dried yogurt and toasted almond per person) from informed pessoas (reference 400 g per person with 200 g lamb, 150 g rice and 50 g toasted almonds).
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Estimates Syrian kebbeh recipe (grams of croquette of ground lamb with fine bulgur, onion and spices fried or baked per person) from informed pessoas (reference 200 g per person with 120 g ground meat, 60 g bulgur and onion).
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Estimates Syrian fatayer recipe (grams of puff pastry pie stuffed with spinach lemon and onion or white cheese per person) from informed pessoas (reference 150 g per person with 3 puff pastries with spinach filling).
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Estimates Syrian yalanji recipe (grams of grape leaves stuffed with rice, tomato, onion, parsley, mint and olive oil served cold per person) from informed pessoas (reference 220 g per person with 8 stuffed grape leaves and seasoned rice).
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Estimates Lebanese mahshi warak enab recipe (grams of vine leaves stuffed with rice, ground lamb, mint and spices cooked in lemon broth per person) from informed pessoas (reference 250 g per person with leaves, filling and broth).
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Estimates Syrian knafeh recipe (grams of kataifi crispy strand dough filled with melted akkawi cheese topped with rose water syrup and pistachio per person) from informed pessoas (reference 180 g per person with 80 g dough, 60 g cheese and syrup).
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Estimates Lebanese bavarois recipe (grams of creamy pudding based on milk, gelatin, orange blossom water and starch decorated with pistachio per person) from informed pessoas (reference 150 g per person with 120 ml milk, orange blossom water and starch).
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Estimates Lebanese zaatar manakeesh recipe (grams of flatbread baked topped with mixture of wild thyme, sesame and sumac in olive oil per person) from informed pessoas (reference 180 g per person with 120 g dough and 30 g zaatar paste).
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Estimates Forza Motorsport total time (hours to complete a career season through classes E to X with all championships and optional events) from informed pessoas (reference 90 hours for full season covering all E D C B A S R P X classes).
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Estimates Forza Horizon total time (hours to complete a festival season with weekly series, expeditions and seasonal challenges through four seasons) from informed pessoas (reference 25 hours per season with series, expeditions and drift zones).
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Estimates Gran Turismo total time (hours to complete all license tests from National B to Super license with gold medals on circuits like Tsukuba and Suzuka) from informed pessoas (reference 18 hours for all licenses with gold).
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Estimates Gran Turismo total time (hours to complete all career championships including Sunday Cup, Clubman, GT World Series and 24-hour endurance races) from informed pessoas (reference 200 horas for all career championships).
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Estimates Need for Speed Heat total time (hours to complete 100% campaign in Palm City including day races, night escapes, illegal racing and collectibles) from informed pessoas (reference 30 hours for 100% including all flamingos and billboards).
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Estimates Need for Speed Payback total time (hours to complete 100% campaign in Fortune Valley including The Crew missions, House defeats and abandoned cars) from informed pessoas (reference 25 hours for 100% including abandoned cars).
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Estimates Dirt Rally total time (hours to complete a Career mode season in Rally with 6 countries, 12 rallies and Pikes Peak stages plus FIA Rallycross) from informed pessoas (reference 40 hours per full career season).
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Estimates EA Sports WRC total time (hours to complete a Career Mode season with 13 official rallies from the WRC calendar and stages in Monte Carlo, Sweden, Mexico and more) from informed pessoas (reference 60 hours per Career Mode season).
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Estimates F1 2024 total time (hours to complete a MyTeam Career Mode season with 24 GPs from the official F1 calendar with qualifying and free practice) from informed pessoas (reference 70 hours per season with practice, qualifying and 50% race distance).
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Estimates iRacing total time (hours to complete a 12-week season in Road, Oval, Dirt or Sports Car category with minimum 8 races for Safety Rating promotion) from informed pessoas (reference 45 hours for season with 12 weeks and 8 races).
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Estimates rFactor 2 total time (hours to complete an offline season in community championship with 20 stages on tracks like Le Mans, Spa, Sebring and Silverstone) from informed pessoas (reference 55 horas for offline season with 20 stages).
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Estimates Assetto Corsa Competizione total time (hours to complete a GT World Challenge Europe Sprint and Endurance season with 8 stages and 24h Spa endurance) from informed pessoas (reference 50 horas for GT World Challenge Europe season).
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Estimates Trackmania total time (hours to complete a seasonal championship with all 25 official tracks and Author Gold Silver Bronze medals) from informed pessoas (reference 22 horas for championship with author medal on 25 tracks).
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Estimates Elixir time (microseconds to create a lightweight Erlang process via spawn or Task.start on modern machine with optimized BEAM) from informed pessoas (reference 2 microseconds for lightweight Elixir process spawn on modern machine with optimized BEAM).
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Estimates Elixir throughput (processes per second that can be spawned and terminated on multicore server with BEAM and parallel schedulers) from informed pessoas (reference 500000 processes per second on 8-core server with BEAM and Task.async).
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Estimates Elixir overhead (additional bytes per message sent between processes via PID send including ETF header and BEAM routing) from informed pessoas (reference 16 bytes overhead per PID send message in the mailbox beyond the serialized payload).
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Estimates Phoenix throughput (requests per second on simple HTTP routes with Cowboy adapter and default Plug pipeline without database) from informed pessoas (reference 80000 RPS on simple Phoenix routes without DB on modern 8-core server with Cowboy).
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Estimates Phoenix Channels throughput (simultaneous WebSocket connections per Phoenix node with broadcast messages and heartbeat) from informed pessoas (reference 2 million simultaneous WebSocket connections per Phoenix node with proper tuning and ulimit adjustments).
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Estimates Phoenix.Presence overhead (memory in MB to track N simultaneous connections with diff_sync between nodes CRDT) from informed pessoas (reference 200 MB of Presence overhead for 100000 active connections with diff_sync between cluster nodes).
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Estimates Phoenix LiveView throughput (simultaneous LiveView connections per node with incremental diffs and standard mount/handle_event) from informed pessoas (reference 1.5 million LiveView connections per Phoenix node with minimal diff and standard handlers).
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Estimates Broadway throughput (messages per second processed in Broadway pipeline with Kafka, RabbitMQ or SQS producer and parallel processors) from informed pessoas (reference 100000 messages per second in Broadway pipeline with 16 processors on 8-core machine).
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Estimates GenStage throughput (messages per second in producer-consumer pipeline with demand backpressure and configured min/max_demand) from informed pessoas (reference 200000 messages per second in GenStage producer-consumer with demand 500/1000 and 4 stages).
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Estimates GenServer overhead (microseconds per synchronous GenServer.call or asynchronous cast with simple handler without side effect) from informed pessoas (reference 3 microseconds per GenServer.call on simple handler without IO or large state).
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Estimates OTP Supervisor time (milliseconds to restart a crashed child via one_for_one strategy after normal exit or brutal kill) from informed pessoas (reference 5 milliseconds for Supervisor to restart a child via one_for_one strategy after clean crash).
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Estimates ETS throughput (reads per second from ETS set table with read_concurrency true and integer key on modern machine) from informed pessoas (reference 30 million reads per second on ETS set with read_concurrency and integer key).
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Estimates pediatric dermatology neonatal acne time (weeks for spontaneous resolution of benign neonatal acne in newborn with facial spots without treatment) from informed pessoas (reference 12 weeks for spontaneous resolution of benign neonatal acne without systemic treatment).
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Estimates pediatric dermatology juvenile rosacea time (months for control of facial erythema and papules with topical metronidazole or low-dose doxycycline in adolescent) from informed pessoas (reference 6 months for juvenile rosacea control with metronidazole gel 1% bid).
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Estimates pediatric dermatology atopic dermatitis PASI (percentage of body surface affected in children with moderate-severe eczema and SCORAD above 25 points) from informed pessoas (reference 35% body surface affected in children with moderate-severe atopic dermatitis).
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Estimates pediatric dermatology nummular eczema time (weeks for resolution of coin-shaped plaques with moderate topical corticosteroid and daily emollient in children) from informed pessoas (reference 8 weeks for resolution of nummular plaques with topical mometasone + emollient).
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Estimates pediatric dermatology pityriasis rosea time (weeks for spontaneous resolution of erythematodesquamative plaques with Biette collar in adolescent without treatment) from informed pessoas (reference 8 weeks for spontaneous resolution of pityriasis rosea without treatment).
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Estimates pediatric dermatology tinea corporis time (weeks of treatment with topical antifungal terbinafine or ciclopiroxolamine until clinical and mycological cure in child) from informed pessoas (reference 4 weeks of treatment with terbinafine 1% cream 1x/day in pediatric tinea corporis).
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Estimates pediatric dermatology impetigo time (days of treatment with topical mupirocin or fusidic acid or oral cephalexin in child with facial or limb lesions) from informed pessoas (reference 7 days of topical treatment mupirocin 2% ointment 3x/day in localized impetigo).
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Estimates pediatric dermatology scabies time (days of treatment with permethrin 5% cream applied all over body for 12 hours in child over 2 months) from informed pessoas (reference 7 days with 2 applications of permethrin 5% cream 7-day apart in pediatric scabies).
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Estimates pediatric dermatology molluscum contagiosum time (months for spontaneous resolution of umbilicated papules in immunocompetent child without aggressive treatment) from informed pessoas (reference 18 months for spontaneous resolution of molluscum in immunocompetent child).
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Estimates pediatric dermatology juvenile wart time (months for resolution with daily 17% topical salicylic acid or monthly cryotherapy in children with hand back warts) from informed pessoas (reference 6 months for resolution with 17% salicylic acid daily + file in juvenile wart).
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Estimates pediatric dermatology pediculosis time (days of treatment with permethrin 1% scalp lotion and fine-tooth comb in child with head lice) from informed pessoas (reference 14 days with 2 applications of permethrin 1% and daily combing in pediatric pediculosis).
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Estimates pediatric dermatology larva migrans time (days of treatment with topical thiabendazole 10% or oral albendazole in child with serpiginous lesions on foot or leg) from informed pessoas (reference 7 days of treatment with albendazole 400 mg/day oral in pediatric cutaneous larva migrans).
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Estimates Armenian khorovats recipe (grams of lamb or pork in skewers grilled over coals served with lavash, onion and fresh herbs per person) from informed people (reference 300 g of skewered meat per person with lavash, onion, parsley and grilled tomato).
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Estimates Armenian dolma recipe (grams of grape leaves stuffed with ground lamb, rice and herbs served cold or hot with yogurt sauce per person) from informed people (reference 8 stuffed grape leaves per person with 200 g of meat-rice filling).
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Estimates Armenian harissa recipe (grams of hulled wheat slow-cooked with shredded chicken for hours until creamy texture served with butter and cumin per person) from informed people (reference 350 g of harissa per person with clarified butter and cumin).
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Estimates Armenian lavash recipe (grams of wheat flour and water for thin traditional flatbread baked in tonir clay oven served with cheese, herbs and meat per person) from informed people (reference 2 lavash per person with 80 g of flour each).
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Estimates Armenian manti recipe (grams of small boat-shaped dumpling stuffed with ground meat baked served with broth, yogurt-garlic sauce and sumac per person) from informed people (reference 25 manti per person with yogurt sauce and meat broth).
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Estimates Armenian lahmajun recipe (units of thin dough topped with ground meat seasoned with tomato, onion, pepper and spices baked in oven served with lemon and parsley per person) from informed people (reference 2 lahmajun per person 25 cm with 80 g of topping).
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Estimates Armenian piti recipe (grams of traditional lamb stew with chickpeas slow-cooked in clay pot served with sumac and raw onion per person) from informed people (reference 400 ml of piti per person with 200 g of lamb and 80 g of chickpeas).
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Estimates Armenian spas recipe (milliliters of hot or cold soup of madzoon yogurt with dzavar wheat and dried mint served year-round per person) from informed people (reference 350 ml of spas per person with 50 g of dzavar and mint).
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Estimates Armenian ghapama recipe (grams of pumpkin stuffed with rice, dried fruits, apricots, raisins, almonds, honey and cinnamon baked whole in oven per person) from informed people (reference 1 small pumpkin per 4 people with 60 g of rice and 30 g of dried fruits per person).
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Estimates Armenian eech recipe (grams of bulgur cooked with onion, tomato, pepper, tomato sauce and spices served cold as salad per person) from informed people (reference 200 g of eech per person with fine bulgur, vegetables and olive oil).
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Estimates Armenian tolma recipe (units of pepper, tomato or cabbage stuffed with ground lamb, rice and fresh herbs served with matzoon sauce per person) from informed people (reference 3 tolma per person with 150 g of meat-rice filling and yogurt-garlic sauce).
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Estimates Armenian pakhlava recipe (grams of layered dessert with thin phyllo dough, walnuts, honey, cinnamon, cloves drizzled with syrup after baking per person) from informed people (reference 3 pieces of pakhlava per person with 80 g of walnuts and honey syrup).
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Estimates Armenian tan recipe (milliliters of refreshing traditional drink made with madzoon yogurt, cold water, salt and mint served in chilled glass per person) from informed people (reference 250 ml of tan per person with 150 g of yogurt and chilled water with mint).
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Estimates Doki Doki Literature Club total time (hours to complete all routes Sayori, Yuri, Natsuki and the true ending with poem readings and meta narrative) from informed people (reference 10 hours to 100 percent the 3 routes and unlock the canonical ending).
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Estimates Katawa Shoujo total time (hours to complete all 5 routes Hanako, Rin, Emi, Lilly, Shizune with Acts 1 to 4 at Yamaku school for disabled students) from informed people (reference 35 hours to 100 percent the 5 routes with all good endings).
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Estimates Clannad total time (hours to complete all routes Nagisa, Tomoyo, Kyou, Kotomi, Fuuko, Sunohara and After Story with 100 percent including light orbs) from informed people (reference 80 horas to 100 percent all 13 routes and After Story).
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Estimates Fate Stay Night total time (hours to complete all 3 routes Fate, Unlimited Blade Works and Heaven Feel with all good and bad endings on Realta Nua remake) from informed people (reference 90 hours to 100 percent the 3 routes with all endings).
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Estimates Steins Gate total time (hours to complete all endings Kurisu, Mayuri, Suzuha, Faris, Luka and true ending with cell phone trigger system per person) from informed people (reference 35 hours to 100 percent the 6 endings with phone trigger).
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Estimates Danganronpa Trigger Happy Havoc total time (hours to complete the 6 chapters with class trials, investigations and free time events with all 15 Hope's Peak students per person) from informed people (reference 35 hours to 100 percent the 6 chapters with all free time events).
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Estimates Zero Escape 999 total time (hours to complete all 6 endings with escape room puzzles and digital root numbers per person) from informed people (reference 28 hours to 100 percent the 6 endings with all puzzles).
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Estimates Ace Attorney trilogy total time (hours to complete the 14 cases of the 3 original trilogies Phoenix Wright, Justice For All and Trials and Tribulations with cross examination per person) from informed people (reference 60 hours to 100 percent the 14 cases of the trilogy).
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Estimates Phoenix Wright Ace Attorney first game total time (hours to complete the 5 cases with witnesses, evidence, cross examination and Maya Fey trial per person) from informed people (reference 18 hours to 100 percent the 5 cases with all evidence presented).
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Estimates Amnesia Memories total time (hours to complete the 5 male routes Shin, Ikki, Kent, Toma, Ukyo in the otome world with affection-based parameter choices per person) from informed people (reference 25 hours to 100 percent the 5 routes with all good endings).
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Estimates Tsukihime total time (hours to complete the 5 routes Arcueid, Ciel, Akiha, Hisui, Kohaku in the Type-Moon nasuverse with remake A Piece of Blue Glass Moon per person) from informed people (reference 50 hours to 100 percent the 5 routes with Near Side and Far Side).
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Estimates Key Visual Arts trilogy Kanon, Air, Little Busters total time (hours to complete all routes of Key nakige visual novels with After Story in Little Busters per person) from informed people (reference 150 hours to 100 percent Kanon, Air, Little Busters and After Stories).
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Estimates Grisaia no Kajitsu total time (hours to complete the 5 routes Amane, Sachi, Makina, Michiru, Yumiko at Mihama academy with Kajitsu, Meikyuu, Rakuen sequence per person) from informed people (reference 80 hours to 100 percent the entire Grisaia trilogy).
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Estimates Ruby on Rails boot time (seconds to start a Rails 7 application with Puma production server in optimized mode with bootsnap enabled per megabyte of code) from informed people (reference 8 seconds of startup for 100 MB Rails project with bootsnap).
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Estimates Ruby on Rails throughput (requests per second on simple routes with ActiveRecord and Puma 3 workers on modern 8-core machine in production with YJIT enabled per person) from informed people (reference 1800 rps per Rails instance on simple route with simple ActiveRecord query).
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Estimates Rails ActiveRecord throughput (SELECT queries per second on simple model with index and prepared statements in PostgreSQL 15 on modern machine per person) from informed people (reference 15000 queries per second in SELECT by primary key with ActiveRecord and PG).
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Estimates Rails Action Cable throughput (simultaneous WebSocket connections per instance with Redis adapter in production with Puma and 1 GB heap on modern machine per person) from informed people (reference 8000 simultaneous connections per Action Cable instance with Redis).
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Estimates Rails Active Job throughput (jobs processed per minute with Sidekiq backend Redis in default queue with 25 concurrent workers on modern machine per person) from informed people (reference 30000 jobs per minute in Active Job with Sidekiq 25 workers).
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Estimates Sinatra boot time (seconds to start a classic Sinatra application with Rackup and Puma production server in optimized mode per megabyte of code) from informed people (reference 0.4 seconds of startup for 50 MB Sinatra project with Puma).
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Estimates Sinatra throughput (requests per second on simple routes with ERB rendering and Puma 2 workers on modern 8-core machine in production with YJIT enabled per person) from informed people (reference 6500 rps per Sinatra instance on simple route without database).
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Estimates Hanami throughput (requests per second on simple routes with ROM-rb ORM and Puma in production on modern 8-core machine with Ruby 3.2 YJIT per person) from informed people (reference 4500 rps per Hanami 2 instance on simple route with ROM-rb).
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Estimates Grape API throughput (requests per second on simple REST JSON endpoints with Puma in production on modern 8-core machine with Ruby 3.2 YJIT per person) from informed people (reference 5800 rps per Grape API instance on simple route returning JSON).
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Estimates Roda framework throughput (requests per second on simple tree-based routes with Puma in production on modern 8-core machine with Ruby 3.2 YJIT per person) from informed people (reference 12000 rps per Roda instance on simple tree-based route).
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Estimates Padrino framework throughput (requests per second on simple routes based on Sinatra with Puma in production on modern 8-core machine with Ruby 3.2 YJIT per person) from informed people (reference 5200 rps per Padrino instance on simple route with Sequel ORM).
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Estimates Cuba microframework throughput (requests per second on simple ultralight routes with Puma in production on modern 8-core machine with Ruby 3.2 YJIT per person) from informed people (reference 18000 rps per Cuba instance on simple route ultralight Rack microframework).
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Estimates neurology epilepsy monthly frequency (average number of seizures per month by type focal, generalized, absence, myoclonic, tonic-clonic according to therapeutic control in adult patient per person) from informed people (reference 4 monthly seizures as average in uncontrolled focal epilepsy before therapeutic adjustment).
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Estimates neurology epilepsy phenobarbital dose (milligrams per day in adult based on weight, loading 10-20 mg/kg, maintenance 1-3 mg/kg/day PO or IV in status or chronic per person) from informed people (reference 100 mg/day PO maintenance in 70 kg adult with serum level 15-40 mg/L).
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Estimates neurology epilepsy phenytoin dose (milligrams per day in adult based on weight, loading 15-20 mg/kg, maintenance 4-7 mg/kg/day PO or IV in focal and tonic-clonic generalized per person) from informed people (reference 300 mg/day PO maintenance in 70 kg adult with serum level 10-20 mg/L).
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Estimates neurology epilepsy carbamazepine dose (milligrams per day in adult based on weight, initial 200 mg 2x/day to maintenance 10-20 mg/kg/day PO in focal and tonic-clonic generalized per person) from informed people (reference 800 mg/day PO maintenance in 70 kg adult with serum level 4-12 mg/L).
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Estimates neurology epilepsy valproate dose (milligrams per day in adult based on weight, initial 250 mg 2x/day to maintenance 15-30 mg/kg/day PO broad spectrum generalized and focal per person) from informed people (reference 1500 mg/day PO maintenance in 70 kg adult with serum level 50-100 mg/L).
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Estimates neurology epilepsy lamotrigine dose (milligrams per day in adult based on weight, initial 25 mg/day slow titration to maintenance 100-200 mg 2x/day PO focal and generalized per person) from informed people (reference 200 mg 2x/day PO maintenance in 70 kg adult after 6-week titration).
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Estimates neurology epilepsy levetiracetam dose (milligrams per day in adult based on weight, initial 500 mg 2x/day rapid titration to maintenance 1500-3000 mg/day PO or IV broad spectrum per person) from informed people (reference 1500 mg 2x/day PO maintenance in 70 kg adult without need for serum level).
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Estimates neurology epilepsy topiramate dose (milligrams per day in adult based on weight, initial 25 mg/day weekly titration to maintenance 200-400 mg/day PO focal and generalized per person) from informed people (reference 200 mg/day PO maintenance in 70 kg adult after 8-week titration).
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Estimates neurology epilepsy oxcarbazepine dose (milligrams per day in adult based on weight, initial 300 mg 2x/day to maintenance 600-1200 mg 2x/day PO focal monotherapy or combined per person) from informed people (reference 1200 mg 2x/day PO maintenance in 70 kg adult with monohydroxy metabolite level 12-30 mg/L).
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Estimates neurology epilepsy clobazam dose (milligrams per day in adult based on weight, initial 5 mg/day to maintenance 10-40 mg/day PO benzodiazepine adjuvant in refractory syndromes per person) from informed people (reference 20 mg/day PO maintenance in 70 kg adult as adjuvant in Lennox-Gastaut).
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Estimates neurology epilepsy phenytoin IV loading dose (milligrams in status epilepticus in adult based on weight 20 mg/kg in slow infusion max 50 mg/min with cardiac monitoring per person) from informed people (reference 1400 mg IV loading in 70 kg adult infused over 28 minutes with continuous ECG).
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Estimates neurology epilepsy EEG monitoring time (hours of continuous video-EEG for ictal event capture in pre-surgical or diagnosis of non-epileptic psychogenic seizure per person) from informed people (reference 72 hours of continuous video-EEG to capture ictal event in pre-surgical monitoring).
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Estimates Polish pierogi recipe (boiled dumplings filled with potato and white cheese or meat or mushroom served with bacon and golden onion per person) from informed people (reference 8 pierogi per person with 50 g of dough each and 30 g of filling).
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Estimates Polish bigos recipe (hunter stew of sauerkraut fresh cabbage various meats smoked sausage and prune slowly cooked for hours per person) from informed people (reference 350 g of bigos per person with meat mix and 2-day aged sauerkraut).
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Estimates Polish kotlet schabowy recipe (breaded pork loin cutlet in flour egg and breadcrumbs fried in clarified butter served with potato and stewed cabbage per person) from informed people (reference 180 g of breaded pork loin per person with boiled potato and cucumber mizeria).
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Estimates Polish zurek recipe (sour soup of fermented rye flour with white sausage hard-boiled egg and horseradish served in bread bowl per person) from informed people (reference 400 ml of zurek per person with homemade white sausage and sliced boiled egg).
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Estimates Polish borsch recipe (clear ruby beet soup with meat broth and vinegar served with uszka mushroom dumplings floating per person) from informed people (reference 350 ml of clear borsch per person with 4 porcini mushroom uszka).
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Estimates Polish golabki recipe (cabbage leaves stuffed with ground meat rice onion and herbs cooked in tomato sauce per person) from informed people (reference 2 golabki per person with 200 g of meat rice filling and tomato sauce).
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Estimates Polish kielbasa recipe (smoked pork sausage with garlic and marjoram grilled on coals served with spicy mustard sauerkraut and rye bread per person) from informed people (reference 200 g of kielbasa per person with mustard sauerkraut and dark bread).
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Estimates Polish pyzy recipe (spherical potato dumplings stuffed with seasoned ground meat and boiled in salted water served with melted butter and golden onion per person) from informed people (reference 4 pyzy per person with 80 g each and meat filling).
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Estimates Polish flaki recipe (tripe soup with beef tripe cut in strips slowly cooked in aromatic broth with root vegetables and peppers served with rye bread per person) from informed people (reference 350 ml of flaki per person with 150 g of cooked tripe strips and broth).
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Estimates Polish rosol recipe (golden free-range chicken broth cooked with vegetables carrot celery leek and herbs served with thin homemade noodles per person) from informed people (reference 400 ml of rosol per person with homemade noodles and fresh chopped parsley).
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Estimates Polish makowiec recipe (poppy seed roll of soft yeast dough filled with thick poppy seed paste honey raisins and almonds served in slices per person) from informed people (reference 2 makowiec slices per person at 80 g each with sugar glaze).
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Estimates Polish paczki recipe (Polish doughnuts of yeast dough fried in lard filled with wild rose or plum jam topped with sugar glaze and orange zest per person) from informed people (reference 2 paczki per person at 70 g each with rose jam filling).
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Estimates Polish kompot recipe (non-alcoholic drink of fresh or dried fruits cooked in water with sugar cinnamon and cloves served cold or hot per person) from informed people (reference 250 ml of kompot per person with mix of apples plums and dried cherries).
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Estimates Bloons TD time (hours to complete all maps in Hard difficulty with tier 5 upgraded towers and bosses defeated per player) from informed players (reference 18 hours to complete all Bloons TD 6 maps in Hard with tier 5 towers).
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Estimates Orcs Must Die time (hours to complete the campaign of the three Orcs Must Die original Unchained and 3 games on Nightmare 5-skull difficulty per player) from informed players (reference 28 hours to complete the Orcs Must Die series in Nightmare).
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Estimates Kingdom Rush time (hours to complete all maps of the 5 entries Origins Frontiers Vengeance and Alliance on Veteran difficulty with 3 stars per player) from informed players (reference 40 hours to complete the Kingdom Rush saga in Veteran 3 stars).
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Estimates Defense Grid time (hours to complete all maps of Defense Grid The Awakening and Defense Grid 2 in Story mode and extra challenges per player) from informed players (reference 30 hours to complete Defense Grid The Awakening and Defense Grid 2 in full).
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Estimates Plants vs Zombies time (hours to complete main adventure and survival modes in PvZ 1 GOTY and PvZ 2 on Normal difficulty per player) from informed players (reference 35 hours to complete PvZ 1 GOTY and PvZ 2 including endless survival).
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Estimates PixelJunk Monsters time (hours to complete all maps in Three Tikis master level on PixelJunk Monsters original and PixelJunk Monsters 2 per player) from informed players (reference 22 hours to complete everything in Three Tikis master level).
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Estimates Dungeon Defenders time (hours to complete Dungeon Defenders Awakened campaign on Hard with 4 heroes level 70 and Survival round 35 per player) from informed players (reference 60 hours to complete Hard campaign and Survival round 35).
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Estimates Pixelution TD time (hours to complete all maps in Insane difficulty with maxed towers and daily challenges fulfilled per player) from informed players (reference 24 hours to complete Pixelution TD on Insane all maps).
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Estimates Anomaly Warzone Earth time (hours to complete Anomaly Warzone Earth and Anomaly 2 and Anomaly Korea campaign on Hard difficulty per player) from informed players (reference 16 hours to complete the Anomaly series on Hard).
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Estimates Toy Soldiers time (hours to complete Toy Soldiers Cold War and War Chest campaign on General difficulty with all story challenge and survival modes per player) from informed players (reference 20 hours to complete Toy Soldiers Cold War and War Chest on General).
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Estimates Warhammer Quest time (hours to complete Warhammer Quest 1 and 2 campaign on Heroic difficulty with 4 heroes level 10 and expansions per player) from informed players (reference 32 hours to complete Warhammer Quest 1 and 2 on Heroic).
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Estimates Revenge of the Titans time (hours to complete Revenge of the Titans campaign on Hard difficulty with full research and gold medals per player) from informed players (reference 15 hours to complete Revenge of the Titans on Hard with gold).
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Estimates Element TD time (hours to complete all elemental tower combinations and Extreme waves on Element TD WC3 and Element TD 2 per player) from informed players (reference 26 hours to complete Element TD with all Extreme combinations).
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Estimates Kotlin Android cold start time (seconds for initial app open based on APK and dex size in milliseconds per MB with Application onCreate and DI initialized) from informed size in MB (reference 250 ms per MB of APK and dex loaded in cold start Android 14 with R8 release).
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Estimates Kotlin Android throughput (requests per second on Ktor embedded server routes or OkHttp HTTP client on Pixel 7 device with Wi-Fi 6 per endpoint) from informed routes (reference 2200 req/s per route Ktor embedded server Pixel 7 Wi-Fi 6 keep-alive).
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Estimates Kotlin coroutines spawn time (microseconds to start a coroutine launch on Dispatchers.Default on JVM HotSpot with warm JIT per coroutine) from informed coroutines (reference 2.4 microseconds per coroutine launch JVM Dispatchers.Default warm JIT).
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Estimates Kotlin Flow throughput (items per second emitted by cold Flow stream with map filter and collect operators on Dispatchers.Default without backpressure per flow) from informed flows (reference 12 million items/s per Flow simple map filter collect Dispatchers.Default).
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Estimates Kotlin Channel throughput (items per second sent via send and receive on BUFFERED Channel between two coroutines on the same Dispatchers.Default per channel) from informed channels (reference 4.5 million items/s per BUFFERED Channel Dispatchers.Default two coroutines).
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Estimates Jetpack Compose render time (milliseconds per Compose UI frame with 100 composables in LazyColumn on Pixel 7 with stable Modifier and remember per frame) from informed frames (reference 4.2 ms per Compose UI frame Pixel 7 LazyColumn 100 composables remember).
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Estimates Kotlin Multiplatform build time (minutes for clean Gradle assemble build of KMP project with Android iOS JVM and JS targets on M1 Pro 32 GB per project) from informed projects (reference 8.5 minutes clean build KMP Android iOS JVM JS M1 Pro 32 GB).
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Estimates Kotlin Multiplatform bundle size (megabytes of shared library compiled to iOS XCFramework and Android AAR and minified JS bundle per KMP module) from informed modules (reference 4.8 MB of shared KMP bundle per module iOS XCFramework with 200 Kotlin classes).
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Estimates Room throughput (queries per second on Room DAO suspend returning Flow with indices on 100K rows table on Pixel 7 UFS per query) from informed queries (reference 18K queries/s on Room DAO suspend Flow with indices Pixel 7 UFS 100K rows).
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Estimates Koin injection time (milliseconds to resolve a Service Locator Koin with factory and single modules on 500-dependency graph per resolution) from informed resolutions (reference 0.12 ms per Koin resolution 500-deps graph Android Pixel 7).
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Estimates Dagger injection time (milliseconds to resolve a Dagger 2 Provider with Component generated by apt and 500-dependency scoped graph per resolution) from informed resolutions (reference 0.018 ms per Dagger 2 Provider Component apt scoped 500 deps Android Pixel 7).
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Estimates Hilt injection time (milliseconds to resolve a HiltViewModel with Hilt Component on 500-dependency graph per resolution on Pixel 7 Activity Android 14) from informed resolutions (reference 0.022 ms per HiltViewModel Hilt Component 500 deps Pixel 7 Android 14).
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Estimates gastroenterology recovery time after laparoscopic cholecystectomy (months to full return to physical activities normal diet and healing in healthy adult patient without complications per person) from informed people (reference 2 months for full recovery after elective laparoscopic cholecystectomy in healthy adult).
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Estimates gastroenterology recovery time after laparoscopic appendectomy (months to full return to physical activities and healing in adult patient without peritonitis per person) from informed people (reference 1.5 months for full recovery after laparoscopic appendectomy without complications).
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Estimates gastroenterology recovery time after inguinal hernioplasty with polypropylene mesh (months to full return to physical activities and weight lifting in adult patient per person) from informed people (reference 3 months for return to heavy weight and vigorous activity after inguinal hernia mesh repair).
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Estimates gastroenterology peptic gastric ulcer treatment time (months with proton pump inhibitor PPI omeprazole 40 mg/day until endoscopically confirmed healing and appropriate diet per person) from informed people (reference 3 months of PPI 40 mg/day until full endoscopic healing of gastric ulcer).
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Estimates gastroenterology duodenal ulcer treatment time (months with PPI omeprazole 20 mg/day until endoscopically confirmed healing and associated Helicobacter pylori eradication per person) from informed people (reference 2 months of PPI 20 mg/day until endoscopic healing of duodenal ulcer).
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Estimates gastroenterology Helicobacter pylori treatment time (weeks with triple therapy amoxicillin clarithromycin and PPI or quadruple with bismuth and eradication verification by breath test per person) from informed people (reference 14 days of triple therapy and eradication test in 4 weeks).
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Estimates gastroenterology celiac disease treatment time (months of strict gluten-free diet until anti-transglutaminase serology normalization and duodenal mucosal recovery on endoscopy per person) from informed people (reference 12 months of strict diet until serological normalization and Marsh 0 recovery).
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Estimates gastroenterology irritable bowel syndrome IBS treatment time (months of low FODMAP diet and antispasmodics otilonium bromide or mebeverine until sustained symptomatic improvement per person) from informed people (reference 6 months of optimized low FODMAP diet and antispasmodic until symptomatic remission in IBS-D).
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Estimates gastroenterology Crohn disease treatment time (months for induction with budesonide or oral prednisone and maintenance with azathioprine or infliximab until clinical and endoscopic remission per person) from informed people (reference 6 months for induction with tapered prednisone and maintenance with infliximab 5 mg/kg every 8 weeks).
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Estimates gastroenterology ulcerative colitis treatment time (months for induction with mesalamine or rectal and oral prednisone and maintenance with mesalamine or azathioprine until clinical and endoscopic remission Mayo 0 per person) from informed people (reference 6 months for induction with mesalamine 4 g/day rectal+oral and maintenance 2 g/day oral in mild extensive colitis).
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Estimates gastroenterology chronic hepatitis C treatment time (months with direct-acting antivirals DAA sofosbuvir plus velpatasvir or glecaprevir plus pibrentasvir per person) from informed people (reference 3 months of DAA sofosbuvir velpatasvir 400/100 mg once daily PO in genotype 1 without cirrhosis with SVR 12 over 95 percent).
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Estimates gastroenterology compensated liver cirrhosis treatment time (months with etiological treatment HCV eradication or alcohol abstinence and complication prophylaxis beta-blocker and endoscopy until MELD compensation per person) from informed people (reference 12 months for stable MELD compensation in Child A cirrhosis after HCV eradication and complete alcohol abstinence).
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Estimates Ukrainian varenyky recipe (boiled dumplings filled with potato and white cheese or cherry served with butter and sour cream per person) from informed people (reference 8 varenyky per person with 45 g of dough each and 30 g of filling).
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Estimates Ukrainian holubtsi recipe (cabbage rolls filled with rice and ground meat cooked in tomato sauce per person) from informed people (reference 3 rolls per person with 80 g of filling each).
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Estimates Ukrainian banosh recipe (creamy cornmeal porridge cooked in cream with bryndza cheese and pork crackling per person) from informed people (reference 1 bowl of 250 g per person).
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Estimates Ukrainian syrnyky recipe (white cheese fritters fried in butter served with sour cream jam or honey per person) from informed people (reference 4 fritters of 60 g per person).
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Estimates Ukrainian kapusniak recipe (sauerkraut soup with potato carrot and onion cooked in meat or vegetable broth per person) from informed people (reference 1 plate of 350 ml per person).
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Estimates Ukrainian deruny recipe (grated potato pancakes fried in oil served with sour cream or mushrooms per person) from informed people (reference 4 pancakes of 70 g per person).
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Estimates Ukrainian paska recipe (sweet Easter bread in tall cylindrical shape with glaze and candied fruits per person) from informed people (reference 1 slice of 120 g per person).
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Estimates Ukrainian kutia recipe (Christmas Eve porridge made with cooked wheat honey poppy seeds walnuts and raisins per person) from informed people (reference 1 portion of 200 g per person).
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Estimates Ukrainian uzvar recipe (traditional Christmas drink made with dried fruits and prunes and apricots cooked with honey and cloves per person) from informed people (reference 1 glass of 250 ml per person).
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Estimates Ukrainian kompot recipe (fresh or dried fruit drink cooked with sugar served cold or hot per person) from informed people (reference 1 glass of 250 ml per person).
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Estimates Ukrainian medovyk recipe (honey cake with thin layers and filling of sour cream whipped with condensed milk per person) from informed people (reference 1 slice of 110 g per person).
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Estimates Ukrainian borshch recipe (red soup with beetroot cabbage potato carrot and meat served with sour cream and dill per person) from informed people (reference 1 plate of 400 ml per person with 120 g of meat).
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Estimates Ukrainian salo recipe (cured salt-pork with salt garlic and pepper served in thin slices with rye bread per person) from informed people (reference 1 portion of 50 g of salo per person).
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Estimates average time to build a simple Roblox Studio world with one thousand blocks per developer (hours considering basic Lua scripting free toolbox assets and local testing).
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Estimates average Robux amount per game pass to monetize a Roblox game per developer (suggested price considering 30 percent marketplace fee).
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Estimates average time to build a Garrys Mod map with Hammer Editor per developer (hours for brush work textures and entities in a 16 thousand square unit map).
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Estimates average time to create a custom Second Life avatar per resident (hours for mesh rig textures skin and clothes in Blender and upload).
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Estimates average time to build a VRChat world with 500 square meters area per developer (hours in Unity with SDK3 udon and upload).
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Estimates average uploaded avatars per active VRChat user (reference 8 avatares per person between public clones and private).
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Estimates average time to build a simple Core Games (Unreal Engine) game per developer (hours for template Lua scripts assets and publishing).
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Estimates average time to build a Dreams (PS4/PS5) world per dreamer (hours for sculpting logic gadgets and sound using the DualSense).
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Estimates average time to build a Fortnite Creative or UEFN map per developer (hours for terrain props devices and Verse code).
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Estimates average time to build a voxel world in The Sandbox metaverse per creator (hours in Game Maker VoxEdit and publishing with NFTs).
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Estimates average time to build a LAND parcel in Decentraland per owner (hours in SDK7 TypeScript and Builder with IPFS upload).
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Estimates average time to build a LittleBigPlanet level per creator (hours for layout objects logic and materials using the Popit).
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Estimates average time to build a Super Mario Maker 2 level per creator (hours for layout enemies puzzles and tests on Switch).
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Estimates Swift iOS app startup time in milliseconds from binary size in MB (reference 50 ms per MB for cold start on iPhone 14).
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Estimates Swift Task throughput per second on iPhone 14 (reference 200 thousand Task struct spawn per second in concurrent runtime).
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Estimates SwiftUI View render time in milliseconds per component (reference 0.8 ms per simple View on iPhone 14 ProMotion 120 Hz).
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Estimates UIKit UIView render time in milliseconds per component (reference 0.5 ms per simple UIView on iPhone 14 ProMotion 120 Hz).
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Estimates Swift Combine Publisher throughput in events per second (reference 500 thousand events per second in PassthroughSubject single-thread).
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Estimates Swift async await call overhead in microseconds (reference 0.3 microseconds per suspended await on iPhone 14).
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Estimates Swift actor message throughput per second (reference 250 thousand messages per second in isolated actor).
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Estimates GCD async dispatch time in milliseconds per block (reference 0.02 ms to enqueue in global concurrent queue).
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Estimates Swift CoreData NSFetchRequest throughput per second on SQLite store (reference 8 thousand queries per second on iPhone 14 with proper indexes).
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Estimates Swift Realm queries per second on iPhone 14 (reference 25 thousand queries per second on indexed base).
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Estimates SQLite.swift queries per second on iPhone 14 (reference 12 thousand queries per second with indexes and prepared statements).
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Estimates Swift Vapor server throughput in requests per second on a simple route (reference 50 thousand RPS on macOS M2 single instance).
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Estimates urology radical prostatectomy recovery time (months until stable urinary continence and partial erectile function after robotic or open surgery per person) from informed people (reference 6 months for continence in robotic prostatectomy preserving neurovascular bundles).
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Estimates urology partial laparoscopic nephrectomy recovery time (months until full activity return and stable renal function per person) from informed people (reference 3 months for full return after videolaparoscopic partial nephrectomy).
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Estimates urology radical cystectomy with ileal neobladder recovery time (months until full adaptation to new urinary reservoir per person) from informed people (reference 6 months for ileal neobladder adaptation after radical cystectomy).
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Estimates urology adult circumcision recovery time (weeks until full healing and return to sexual activities per person) from informed people (reference 4 weeks for healing in adult sleeve technique circumcision).
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Estimates urology vasectomy recovery time (weeks until return to physical activity and confirmed azoospermia by spermogram per person) from informed people (reference 2 weeks for return and 12 weeks for confirmed azoospermia).
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Estimates urology hydrocelectomy recovery time (weeks until full return to physical and work activities per person) from informed people (reference 3 weeks for full return after Jaboulay technique hydrocelectomy).
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Estimates urology subinguinal microsurgical varicocelectomy recovery time (weeks until full return and spermogram improvement per person) from informed people (reference 2 weeks for return and 12 weeks for spermogram improvement).
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Estimates urology tamsulosin amount in milligrams for symptomatic BPH (daily dose per person for lower urinary tract symptoms LUTS relief).
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Estimates urology dutasteride amount in milligrams for BPH (daily dose per person for prostate volume reduction via 5-alpha-reductase inhibition).
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Estimates urology finasteride amount in milligrams for BPH or androgenetic alopecia (daily dose per person for type II 5-alpha-reductase inhibition).
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Estimates urology sildenafil amount in milligrams for erectile dysfunction (on-demand dose per person for type 5 phosphodiesterase inhibition).
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Estimates urology tadalafil amount in milligrams for erectile dysfunction or BPH (on-demand or daily dose per person for long half-life PDE5 inhibition).
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Estimates Romanian mamaliga recipe (traditional cornmeal polenta cooked in salted water per person) from informed people (reference 100 g cornmeal and 350 ml water per portion).
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Estimates Romanian sarmale recipe (pickled cabbage rolls stuffed with ground meat and rice cooked in a clay pot per person) from informed people (reference 4 sarmale per person with 80 g filling each).
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Estimates Romanian mititei recipe (grilled beef and lamb sausages seasoned with garlic and baking soda per person) from informed people (reference 4 mititei per person with 60 g mixture each).
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Estimates Romanian ciorba recipe (sour soup fermented with wheat bran bors and vegetables or meat per person) from informed people (reference 350 ml per portion).
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Estimates Romanian zacusca recipe (preserve of roasted eggplant with bell pepper tomato and onion canned for winter per person) from informed people (reference 80 g per portion).
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Estimates Romanian tochitura recipe (chunked pork stew with wine and onion served with mamaliga and fried egg per person) from informed people (reference 180 g meat per portion).
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Estimates Romanian papanasi recipe (fried sweet cheese donut topped with cherry jam and sour cream per person) from informed people (reference 2 papanasi per person).
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Estimates Romanian cozonac recipe (braided sweet bread filled with walnuts and cocoa served at Easter and Christmas per person) from informed people (reference 90 g per slice).
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Estimates Romanian pasca recipe (sweet cheese pie with raisins in brioche dough served at Easter per person) from informed people (reference 100 g per portion).
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Estimates Romanian musaca recipe (layered gratin of potato eggplant and ground meat with bechamel sauce per person) from informed people (reference 280 g per portion).
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Estimates Romanian mamaliga cu branza si smantana recipe (creamy polenta served with melted sheep cheese and sour cream per person) from informed people (reference 200 g per portion).
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Estimates Romanian saramura recipe (Danube river grilled fish served in hot brine with pepper and mamaliga per person) from informed people (reference 250 g fish per portion).
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Estimates Romanian tuica recipe (artisanal brandy distilled from fermented plums with 45 to 60 alcoholic degrees per person) from informed people (reference 50 ml per dose).
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Estimates average time to complete Resident Evil 2 Remake (campaign A and B of Leon and Claire on Normal difficulty per person) from informed people (reference 9 hours per campaign without rush).
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Estimates average time to complete Resident Evil 3 Remake (Jill Valentine campaign escaping Nemesis in Raccoon City per person) from informed people (reference 6 hours per run on Normal).
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Estimates average time to complete Resident Evil 4 Remake (Leon Kennedy campaign rescuing Ashley in village and castle per person) from informed people (reference 17 hours per run on Normal).
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Estimates average time to complete Resident Evil Village (Ethan Winters campaign in gothic village with Lady Dimitrescu per person) from informed people (reference 12 hours per run on Normal).
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Estimates average time to complete Silent Hill 2 Remake (James Sunderland campaign searching for Mary in foggy town per person) from informed people (reference 16 hours per run on Normal).
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Estimates average time to complete Silent Hill 3 (Heather Mason campaign in shopping mall and religious cult per person) from informed people (reference 8 hours per run on Normal).
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Estimates average time to complete Dead Space Remake (Isaac Clarke campaign on Ishimura ship fighting necromorphs per person) from informed people (reference 12 hours per run on Normal).
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Estimates average time to complete Dead Space 2 (Isaac Clarke campaign on Sprawl station fighting necromorphs per person) from informed people (reference 14 hours per run on Normal).
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Estimates average time to complete The Last of Us Part I (Joel and Ellie campaign across post-apocalyptic USA per person) from informed people (reference 15 hours per run on Normal).
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Estimates average time to complete Alan Wake 2 (dual campaign of Alan Wake writer and Saga Anderson FBI agent per person) from informed people (reference 22 hours per run on Normal).
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Estimates average time to complete The Evil Within (Sebastian Castellanos campaign in STEM facing Ruvik per person) from informed people (reference 17 hours per run on Normal).
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Estimates average time to complete Amnesia The Dark Descent (Daniel campaign in Brennenburg castle with no combat per person) from informed people (reference 9 hours per run on Normal).
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Estimates average time to complete Outlast (Miles Upshur journalist campaign in Mount Massive Asylum with no weapons per person) from informed people (reference 7 hours per run on Normal).
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Estimates average Laravel 11 project startup time in milliseconds based on project size in megabytes (reference 80 ms for 50 MB with OPcache enabled and config caches generated).
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Estimates average requests per second throughput of Laravel 11 application with 10 REST routes from informed PHP-FPM workers (reference 2500 RPS with 4 workers on simple route).
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Estimates average Eloquent ORM queries per second throughput over MySQL 8 with 10 connection pool from informed concurrent people (reference 12000 SELECT queries per second).
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Estimates average Laravel Livewire 3 component render time in milliseconds from informed public properties (reference 25 ms for component with 5 props without queries).
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Estimates average Laravel Inertia.js 2 SSR render time in milliseconds from informed props passed to Vue or React component (reference 40 ms for 10 props with SSR Node).
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Estimates average Symfony 7 project startup time in milliseconds based on project size in megabytes (reference 60 ms for 50 MB with APP_ENV=prod and cache warmup done).
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Estimates average requests per second throughput of Symfony 7 application with 10 REST routes from informed PHP-FPM workers (reference 3000 RPS with 4 workers on simple route).
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Estimates average Doctrine ORM queries per second throughput over PostgreSQL 16 with 10 connection pool from informed concurrent people (reference 10000 SELECT queries per second).
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Estimates average requests per second throughput of PHP-FPM 8.3 server with dynamic pool in Hello World application from informed workers (reference 7000 RPS with 8 workers).
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Estimates average requests per second throughput of Swoole 5 server in coroutine async mode with 4 workers from informed concurrent people (reference 35000 RPS with Hello World).
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Estimates average requests per second throughput of RoadRunner 2024 server with 4 Go workers from informed concurrent people (reference 30000 RPS with Hello World).
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Estimates average requests per second throughput of FrankenPHP 1.0 worker mode server on Caddy from informed concurrent people (reference 38000 RPS with Hello World and worker mode).
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Estimates preventive cardiology Framingham risk score (10-year cardiovascular event probability per person based on age cholesterol pressure smoking and diabetes).
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Estimates preventive cardiology ASCVD Pooled Cohort Equations risk score from AHA/ACC 2013 (10-year atherosclerotic event probability per person).
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Estimates preventive cardiology SCORE2 ESC 2021 European score (10-year fatal and non-fatal cardiovascular event probability per person aged 40 to 69).
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Estimates preventive cardiology post-ACS GRACE score (in-hospital and 6-month mortality probability after acute coronary syndrome per person).
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Estimates preventive cardiology TIMI Risk Score for NSTE-ACS (death MI or urgent revascularization probability in 14 days per person).
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Estimates preventive cardiology AHA/ACC PREVENT 2023 risk score (cardiovascular event including heart failure probability in 10 and 30 years per person).
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Estimates preventive cardiology LDL cholesterol target in mg/dL according to cardiovascular risk stratification per person (reference SBC 2023 and ESC 2019 guidelines).
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Estimates preventive cardiology blood pressure target in mmHg according to age comorbidities and cardiovascular risk per person (reference SBC/SBH 2020 guideline).
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Estimates preventive cardiology aspirin amount in milligrams for secondary prevention post-MI or ischemic stroke (daily dose per person for platelet antiaggregation).
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Estimates preventive cardiology statin amount (atorvastatin or rosuvastatin) in milligrams for high-intensity LDL-c reduction (daily dose per person).
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Estimates preventive cardiology ezetimibe amount in milligrams combined with statin when LDL target not reached (daily dose per person for intestinal cholesterol absorption inhibition).
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Estimates preventive cardiology PCSK9 inhibitor amount (evolocumab or alirocumab) in milligrams for familial hypercholesterolemia or high refractory risk (subcutaneous dose every 2 weeks per person).
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Calculator Hungarian Goulash Recipe Person
Estimates Hungarian goulash recipe (beef cubes stew with paprika onion potato and bell pepper served as main dish per person) from informed people (reference 300 g of meat per portion).
Calculator Hungarian Langos Recipe Person
Estimates Hungarian langos recipe (yeast fried bread topped with sour cream grated cheese and crushed garlic served at festivals per person) from informed people (reference 1 langos per portion).
Calculator Hungarian Paprikash Recipe Person
Estimates Hungarian paprikash recipe (meat braised with paprika and sour cream served with nokedli galushka per person) from informed people (reference 250 g of meat per portion).
Calculator Hungarian Halaszle Recipe Person
Estimates Hungarian halaszle recipe (red spicy fish soup from Tisza river fishermen made with carp paprika and onion per person) from informed people (reference 300 g of fish per portion).
Calculator Hungarian Toltott Kaposzta Recipe Person
Estimates Hungarian toltott kaposzta recipe (sour cabbage rolls stuffed with ground meat rice and paprika served with sour cream per person) from informed people (reference 3 rolls per portion).
Calculator Hungarian Dobos Torta Recipe Person
Estimates Hungarian dobos torta recipe (5 thin sponge cake layers cake with chocolate cream and mirror hard caramel topping per person) from informed people (reference 120 g per slice).
Calculator Hungarian Kurtoskalacs Recipe Person
Estimates Hungarian kurtoskalacs recipe (chimney cake baked on rotating spit covered with caramelized sugar cinnamon and walnuts per person) from informed people (reference 1 chimney per portion).
Calculator Hungarian Palacsinta Recipe Person
Estimates Hungarian palacsinta recipe (thin sweet or savory crepe filled with apricot jam walnuts or cottage cheese per person) from informed people (reference 3 palacsinta per portion).
Calculator Hungarian Rakott Krumpli Recipe Person
Estimates Hungarian rakott krumpli recipe (potato gratin layered with smoked sausage boiled eggs sour cream and cheese per person) from informed people (reference 280 g per portion).
Calculator Hungarian Toltott Paprika Recipe Person
Estimates Hungarian toltott paprika recipe (bell pepper stuffed with ground meat and rice in sweet tomato sauce served with boiled potato per person) from informed people (reference 2 peppers per portion).
Calculator Hungarian Csirkepaprikas Recipe Person
Estimates Hungarian csirkepaprikas recipe (chicken in creamy paprika sauce with sour cream served with nokedli or pasta per person) from informed people (reference 280 g of chicken per portion).
Calculator Hungarian Somloi Galuska Recipe Person
Estimates Hungarian somloi galuska recipe (rum-soaked sponge cake dessert with vanilla cream walnuts raisins and chocolate sauce per person) from informed people (reference 200 g per portion).
Calculator Hungarian Zwack Unicum Recipe Person
Estimates Hungarian Zwack Unicum recipe (national Hungarian bitter liqueur made with over 40 herbs aged in oak barrels with 40 alcoholic degrees per person) from informed people (reference 40 ml per dose).
Calculator Puzzle Tetris Time 100 Lines Person
Estimates average time to complete 100 lines in Tetris (40-Line Sprint mode of Tetris Effect or Tetris 99 per person at intermediate level) from informed people (reference 2 minutes per 100 lines).
Calculator Puzzle 2048 Win Time Person
Estimates average time to reach the 2048 tile in the 2048 game (reaching tile 2048 in 4x4 grid per person at intermediate level) from informed people (reference 25 minutes per win).
Calculator Puzzle Sudoku Solve Time Type
Estimates average time to solve 9x9 Sudoku by difficulty (Easy Medium Hard Evil in seconds per intermediate person) from informed people (reference 8 minutes in Medium difficulty).
Calculator Puzzle Rubik Cube Solve Time Person
Estimates average time to solve 3x3 Rubik's cube (CFOP Fridrich method in seconds per intermediate speedcuber person) from informed people (reference 35 seconds per solve).
Calculator Puzzle 15 Solve Time Person
Estimates average time to solve the 15-puzzle (sliding 15 numbered tiles in 4x4 grid to ascending order per intermediate person) from informed people (reference 90 seconds per solve).
Calculator Puzzle Bejeweled Time Complete Levels
Estimates average time to complete levels in Bejeweled 3 (Classic mode up to level 30 with cascades and explosive gems per person) from informed people (reference 12 minutes per level).
Calculator Puzzle Candy Crush Time Complete Levels
Estimates average time to complete levels in Candy Crush Saga (classic levels up to 100 with special combos per person) from informed people (reference 4 minutes per level).
Calculator Puzzle Flow Free Solve Time Packs
Estimates average time to solve Flow Free packs (puzzle game of connecting color pairs on grid without crossing paths per person) from informed people (reference 30 seconds per puzzle).
Calculator Puzzle Monument Valley Time Complete
Estimates average time to complete Monument Valley (isometric puzzle game of optical illusions and impossible architecture by M.C. Escher per person) from informed people (reference 90 minutes per campaign).
Calculator Puzzle Portal Time Complete Chambers
Estimates average time to complete the 19 test chambers in Portal (Valve game with portal gun and GLaDOS per person) from informed people (reference 4 hours per campaign).
Calculator Puzzle Portal 2 Time Complete Chambers
Estimates average time to complete Portal 2 (single-player chambers + cooperative with Atlas and P-Body per person) from informed people (reference 9 hours per solo campaign).
Calculator Puzzle Baba Is You Time Complete Worlds
Estimates average time to complete Baba Is You (indie game by Arvi Teikari of manipulating rules with word blocks per person) from informed people (reference 15 hours per campaign).
Calculator Puzzle Talos Principle Time Complete
Estimates average time to complete The Talos Principle (philosophical puzzle by Croteam with jammers tetrominos and AI dilemmas per person) from informed people (reference 25 hours per campaign).
Calculator Erlang Process Spawn Microseconds
Estimates average Erlang OTP process spawn time in microseconds (lightweight process creation in Erlang VM BEAM) from informed processes (reference 1 microsecond per spawn).
Calculator Erlang Message Passing Throughput Second
Estimates average message passing throughput between Erlang processes in messages per second (async via FIFO mailbox) from informed concurrent people (reference 2500000 messages per second).
Calculator Erlang OTP Gen Server Overhead Ns
Estimates average gen_server call overhead in nanoseconds (sync message round-trip with timeout) from informed calls (reference 5000 ns per call).
Calculator Erlang OTP Gen Event Overhead Ns
Estimates average gen_event:notify overhead in nanoseconds (async event manager broadcast to registered event handlers) from informed notifications (reference 3000 ns per notify).
Calculator Erlang OTP Supervisor Restart Time
Estimates average child process restart time by OTP supervisor in milliseconds (one_for_one or rest_for_one strategy after crash) from informed restarts (reference 2 ms per restart).
Calculator Erlang ETS Throughput Reads Second
Estimates average reads throughput in Erlang ETS table (Erlang Term Storage in-memory hash table) per second from informed concurrent people (reference 10000000 reads per second).
Calculator Erlang Mnesia Throughput Transactions
Estimates average Mnesia transactions throughput (native Erlang distributed database) per second from informed concurrent people (reference 50000 transactions per second).
Calculator RabbitMQ Throughput Messages Second Queue
Estimates average messages per second throughput in RabbitMQ classic queue (AMQP 0.9.1 broker) from informed concurrent people (reference 50000 messages per second per queue).
Calculator RabbitMQ Throughput Messages Second Exchange
Estimates average messages per second throughput in RabbitMQ exchange (direct topic fanout or headers) from informed concurrent people (reference 80000 messages per second per exchange).
Calculator RabbitMQ Cluster Throughput Messages Second
Estimates average aggregated RabbitMQ cluster throughput (AMQP broker in 3-node cluster) in messages per second from informed concurrent people (reference 200000 aggregated messages per second).
Calculator RabbitMQ Quorum Queues Throughput Messages
Estimates average RabbitMQ quorum queues throughput (quorum-type queue based on Raft consensus) in messages per second from informed concurrent people (reference 30000 messages per second).
Calculator RabbitMQ Streams Throughput Messages
Estimates average RabbitMQ Streams throughput (persistent append-only log similar to Kafka) in messages per second from informed concurrent people (reference 500000 messages per second).
Calculator Nephro Transp PRA Formula Person Donors
Estimates nephrology transplant PRA (Panel Reactive Antibody) calculated as percentage of donor panel with positive reactivity per kidney transplant recipient from informed reactive donors (reference formula PRA=reactives/total*100).
Calculator Nephro Transp cPRA Formula Person
Estimates nephrology transplant cPRA (calculated Panel Reactive Antibody) based on unacceptable HLA antigens frequency in donor population (UNOS OPTN formula for kidney transplant listing per person) from informed unacceptable antigens (reference formula cPRA=1-prod(1-freq)).
Calculator Nephro Transp MFI Titration Person
Estimates nephrology transplant MFI (Mean Fluorescence Intensity) anti-HLA antibody titration by Luminex Single Antigen Bead in pre or post kidney transplant people from informed dilutions (reference MFI title proportional to antibody concentration).
Calculator Nephro Transp FCM Fluorescence Channel MFI
Estimates nephrology transplant FCM (Flow Cytometric Crossmatch) channel fluorescence intensity shift above negative control to detect DSA in kidney transplant crossmatch from informed patients (reference positive shift >50 channels T-cell or >100 channels B-cell).
Calculator Nephro Transp Tacrolimus Level Ng Ml Person
Estimates nephrology transplant tacrolimus (FK506 Prograf) blood level in ng/mL by post kidney transplant phase per person (therapeutic pre-dose trough targets) from informed months post-transplant (reference 8-12 ng/mL in first month 5-8 ng/mL after).
Calculator Nephro Transp Cyclosporine Level Ng Ml Person
Estimates nephrology transplant cyclosporine A (Sandimmun Neoral) blood level in ng/mL by post kidney transplant phase per person (therapeutic C2 2h post-dose or C0 trough targets) from informed months post-transplant (reference C2 1500 ng/mL first month).
Calculator Nephro Transp Sirolimus Level Ng Ml Person
Estimates nephrology transplant sirolimus (Rapamune) blood level in ng/mL by post kidney transplant phase per person (therapeutic pre-dose trough targets) from informed months post-transplant (reference 8-15 ng/mL first month monotherapy 4-12 ng/mL with tacrolimus).
Calculator Nephro Transp Everolimus Level Ng Ml Person
Estimates nephrology transplant everolimus (Certican Zortress) blood level in ng/mL by post kidney transplant phase per person (therapeutic pre-dose trough targets) from informed months post-transplant (reference 3-8 ng/mL combined with reduced tacrolimus).
Calculator Nephro Transp MMF Level Mcg Ml Person
Estimates nephrology transplant MMF mycophenolic acid (MPA Cellcept Myfortic) blood level in mcg/mL by post kidney transplant phase per person (AUC0-12h or trough target) from informed months post-transplant (reference AUC 30-60 mcg.h/mL trough 1.0-3.5 mcg/mL).
Calculator Nephro Transp Rejection Banff Grade Person
Estimates nephrology transplant Banff grade for acute cellular rejection TCMR T-Cell Mediated Rejection by histopathological criteria Banff 2019 in renal biopsy per transplanted person from informed people (reference grade IA IB IIA IIB III).
Calculator Nephro Transp Antibody-Mediated Rejection Grade Person
Estimates nephrology transplant antibody-mediated rejection AMR/ABMR grade by Banff 2019 criteria with C4d and DSA in renal transplant biopsy per person from informed people (reference active chronic suspected ABMR).
Calculator Nephro Transp Corticoid Pulse Gram Person Day
Estimates nephrology transplant corticoid pulse (methylprednisolone Solu-Medrol) in grams for acute rejection treatment in kidney transplanted person per day (reference 500-1000 mg/day for 3 consecutive days IV) from informed people.
Calculator Greek Souvlaki Recipe Person
Estimates Greek souvlaki recipe (pork or lamb meat skewers marinated in oregano garlic lemon and olive oil grilled served with pita tzatziki and salad per person) from informed people (reference 200 g of meat per portion).
Calculator Greek Moussaka Recipe Quantity Person
Estimates Greek moussaka quantity recipe (eggplant potato ground lamb layers with gratinated bechamel served as main dish) per person from informed people (reference 350 g portion per person).
Calculator Greek Pastitsio Recipe Person
Estimates Greek pastitsio recipe (Greek lasagna with bucatini pasta layers of seasoned ground meat with cinnamon and gratinated bechamel) per person from informed people (reference 320 g portion per person).
Calculator Greek Spanakopita Recipe Quantity Person
Estimates Greek spanakopita quantity recipe (savory pie with spinach feta cheese scallions and herbs wrapped in crispy phyllo dough) per person from informed people (reference 200 g portion).
Calculator Greek Stifado Recipe Person
Estimates Greek stifado recipe (beef stew with pearl onions tomato red wine cinnamon clove and bay leaf slow cooked served as main dish per person) from informed people (reference 300 g portion).
Calculator Greek Keftedes Recipe Person
Estimates Greek keftedes recipe (Greek meatballs with beef or lamb onion garlic mint oregano and egg fried or baked served as mezze or main dish per person) from informed people (reference 180 g of meat per portion).
Calculator Greek Dolmades Recipe Person
Estimates Greek dolmades recipe (grape leaves stuffed with rice onion pine nuts mint and dill cooked in lemon broth served as cold or warm mezze per person) from informed people (reference 6 units per portion).
Calculator Greek Gigantes Plaki Recipe Person
Estimates Greek gigantes plaki recipe (giant white beans slow cooked with tomato onion garlic herbs and olive oil baked in oven served as vegetarian main dish per person) from informed people (reference 250 g portion).
Calculator Greek Fasolada Recipe Person
Estimates Greek fasolada recipe (Greek national white bean soup with onion carrot celery tomato garlic olive oil and herbs served hot as winter main dish per person) from informed people (reference 350 ml portion).
Calculator Greek Revithada Recipe Person
Estimates Greek revithada recipe (rustic chickpea soup with onion garlic olive oil lemon and rosemary slow baked in clay pot traditional of Sifnos island served on Sunday as main dish per person) from informed people (reference 300 ml portion).
Calculator Greek Galaktoboureko Recipe Person
Estimates Greek galaktoboureko recipe (semolina vanilla custard dessert wrapped in crispy phyllo dough bathed in honey lemon and cinnamon syrup per person) from informed people (reference 150 g portion).
Calculator Greek Loukoumades Recipe Quantity Person
Estimates Greek loukoumades quantity recipe (fluffy dough balls fried in olive oil dipped in honey cinnamon chopped walnut and sesame ancient Greek traditional dessert per person) from informed people (reference 8 units per portion).
Calculator Greek Tzatziki Recipe Quantity Person
Estimates Greek tzatziki quantity recipe (cold sauce with Greek yogurt grated drained cucumber garlic olive oil vinegar dill and mint served as mezze or side with souvlaki per person) from informed people (reference 80 g portion).
Calculator Mario Time to Complete 1985 Original
Estimates average time to complete Super Mario Bros original 1985 Nintendo NES (32 stages in 8 worlds save Princess Peach from Bowser) based on informed number of players (reference any% speedrun: 5 min; casual: 90 min).
Calculator Mario Time to Complete 3 Original
Estimates average time to complete Super Mario Bros 3 Nintendo NES 1988 (8 worlds overworld map magic whistles Tanooki Hammer Bros) based on informed number of players (reference any%: 4 min with warps; casual: 240 min).
Calculator Mario Time to Complete Bros 2
Estimates average time to complete Super Mario Bros 2 Nintendo NES 1988 (Mario Luigi Toad Peach playable 7 worlds based on Doki Doki Panic) based on informed number of players (reference any%: 9 min; casual: 120 min).
Calculator Sonic Time to Complete 1991 Original
Estimates average time to complete Sonic the Hedgehog original 1991 Sega Mega Drive Genesis (6 zones three acts Green Hill Marble Spring Yard Labyrinth Star Light Scrap Brain plus Final) based on informed number of players (any%: 17 min; casual: 80 min).
Calculator Sonic Time to Complete 2 Original
Estimates average time to complete Sonic the Hedgehog 2 original 1992 Sega Mega Drive Genesis (Tails introduced 11 zones Emerald Hill Chemical Plant Aquatic Ruin Casino Night Hill Top Mystic Cave Oil Ocean Metropolis Sky Chase Wing Fortress Death Egg) (any%: 25 min; casual: 120 min).
Calculator Sonic Time to Complete 3k
Estimates average time to complete Sonic 3 and Knuckles (Sonic 3 + Sonic and Knuckles via Lock-On Technology 1994 Sega Mega Drive Genesis 14 zones Angel Island Hydrocity Marble Garden Carnival Night Ice Cap Launch Base Mushroom Hill Flying Battery Sandopolis Lava Reef Hidden Palace Sky Sanctuary Death Egg Doomsday) (any%: 50 min; casual: 240 min).
Calculator Rayman Time to Complete Original
Estimates average time to complete Rayman original 1995 Ubisoft PS1 Atari Jaguar PC Saturn (6 worlds Dream Forest Band Lands Blue Mountains Picture City Caves of Skops Eraser Plains collect 102 Electoons defeat Mr Dark) (any%: 90 min; casual: 600 min).
Calculator Crash Bandicoot Time to Complete Original
Estimates average time to complete Crash Bandicoot original 1996 Naughty Dog PlayStation 1 (32 levels 3 islands N Sanity Beach Wumpa Islands defeat Dr Neo Cortex rescue Tawna collect gems) (any%: 60 min; casual: 480 min).
Calculator Spyro Time to Complete Original
Estimates average time to complete Spyro the Dragon original 1998 Insomniac Games PlayStation 1 (6 worlds Artisans Peace Keepers Magic Crafters Beast Makers Dream Weavers Gnasty Gnorc rescue 100 dragons collect gems) (any%: 100 min; casual: 600 min).
Calculator Jak Daxter Time to Complete Original
Estimates average time to complete Jak and Daxter The Precursor Legacy original 2001 Naughty Dog PlayStation 2 (open world collect 101 Power Cells 2000 Precursor Orbs 7 Scout Flies per level) (any%: 80 min; casual: 1200 min).
Calculator Sly Cooper Time to Complete Original
Estimates average time to complete Sly Cooper and the Thievius Raccoonus original 2002 Sucker Punch PlayStation 2 (5 worlds Sly raccoon thief Bentley Murray Fiendish Five hub linear worlds) (any%: 120 min; casual: 600 min).
Calculator Ratchet Clank Time to Complete Original
Estimates average time to complete Ratchet and Clank original 2002 Insomniac Games PlayStation 2 (18 planets Solana galaxy Ratchet Lombax mechanic Clank robot encounter Chairman Drek extravagant weapons arsenal) (any%: 240 min; casual: 900 min).
Calculator Mega Man Time to Complete 2 Original
Estimates average time to complete Mega Man 2 original 1988 Capcom Nintendo NES (8 Robot Masters Metal Man Air Man Bubble Man Quick Man Crash Man Flash Man Heat Man Wood Man Dr Wily fortress) (any%: 35 min; casual: 180 min).
Calculator Dart Startup Time App Mb
Estimates average startup time (cold start) of compiled AOT Dart Flutter application in milliseconds from informed binary size in megabytes (reference ARM64: 200 ms for 8 MB with Dart VM initialization and tree-shaking).
Calculator Flutter Throughput Rps Routes
Estimates throughput in requests per second (RPS) between Navigator/GoRouter routes in Flutter app from informed number of concurrent routes (reference Navigator 2.0: 15,000 RPS of pushReplacement in release mode ARM64).
Calculator Flutter Render Time Widget Ms
Estimates average widget tree render time in milliseconds from informed number of widgets in the tree (reference release mode ARM64: 0.05 ms per widget for layout + paint + composite raster).
Calculator Flutter Async Future Overhead Ms
Estimates average Future/async await overhead in milliseconds in Dart Flutter from informed number of chained Futures (reference Dart VM AOT: 0.002 ms per Future resolve with microtask queue).
Calculator Flutter Isolate Spawn Microseconds
Estimates average Dart Isolate spawn time in microseconds from informed number of spawned Isolates (reference Dart VM AOT: 800 microseconds per Isolate.spawn with initial heap snapshot).
Calculator Flutter Stream Throughput Events Second
Estimates throughput in events per second of Stream/StreamController/StreamSubscription in Dart Flutter from informed number of active Streams (reference broadcast stream: 1,500,000 events/second single subscription).
Calculator Flutter Hot Reload Time Ms
Estimates average Flutter SDK hot reload time in milliseconds from informed number of modified Dart files (reference DDS Dart Development Service: 350 ms for 1 file + widget tree reassemble).
Calculator Flutter Build Apk Time Project
Estimates average flutter build apk (Android release) time in seconds from informed project size in thousand lines of Dart code (reference MacBook M1: 90 seconds for 50k LOC with R8 and shrink resources).
Calculator Flutter Build Ipa Time Project
Estimates average flutter build ipa (iOS release) time in seconds from informed project size in thousand lines of Dart code (reference MacBook M1: 180 seconds for 50k LOC with Xcode archive and bitcode).
Calculator Flutter Build Web Time Project
Estimates average flutter build web time in seconds from informed project size in thousand lines of Dart code (reference MacBook M1 with CanvasKit: 60 seconds for 50k LOC with optimized dart2js --release).
Calculator Flutter Bundle Size Mb Deps
Estimates final bundle size (release APK) in megabytes of Flutter app from informed number of pubspec.yaml dependencies (reference release base: 7 MB + 0.15 MB per average Flutter package dependency).
Calculator Flutter Dio Throughput Requests
Estimates HTTP requests per second throughput of Dio package in Flutter from informed number of concurrent requests (reference HTTP/2 keep-alive on 4G network: 200 requests/second single isolate).
Calculator Derma Geri Flaccid Skin Person Age
Estimates flaccid skin score (loss of dermal tonicity collagen and elastin) in elderly person from informed age in years (reference Glogau I-IV or Fitzpatrick scale: at 60 years average loss of 30% type I collagen and grade II elastosis).
Calculator Derma Geri Senile Spots Person Area
Estimates average number of senile spots (solar lentigines actinic hyperpigmentation) in elderly person by informed body area in square centimeters (reference hands and face: 2 lentigines per cm2 above 65 years with chronic photoexposure).
Calculator Derma Geri Seborrheic Keratosis Person Area
Estimates average number of seborrheic keratoses (benign hyperkeratotic verrucous lesions associated with aging) in elderly person by informed body area in square centimeters (reference 1 keratosis per 5 cm2 on trunk above 60 years).
Calculator Derma Geri Solar Elastosis Person Grade
Estimates clinical features and therapeutic indications for solar elastosis (actinic degeneration of dermal elastic fibers) in elderly person by informed grade (1-4 visual scale reference Kligman: grade 1 mild yellowish texture to grade 4 severe cutis rhomboidalis nuchae).
Calculator Derma Geri Fine Wrinkles Person Area
Estimates average number of fine wrinkles (dynamic and static superficial lines depth < 0.5 mm FWS Fine Wrinkle Scale) per informed facial area in square centimeters (reference periorbital region: 6 fine wrinkles per 4 cm2 above 50 years).
Calculator Derma Geri Deep Wrinkles Person Area
Estimates average number of deep wrinkles (static furrows depth > 1 mm DWS Deep Wrinkle Scale or WSRS Wrinkle Severity Rating Scale) per informed facial area in square centimeters (reference glabella: 2 deep wrinkles in 4 cm2 above 60 years).
Calculator Derma Geri Uvb Uva Protection Person
Estimates UVB sun protection factor SPF and UVA protection factor PPD needed for elderly person based on informed Fitzpatrick phototype 1 to 6 (reference phototype I-II: SPF 50 PPD 20 mandatory; phototype V-VI: SPF 30 PPD 10).
Calculator Derma Geri Photoaging Person Skin Type
Estimates photoaging score (Glogau scale I-IV) and therapeutic indications in elderly person based on informed Fitzpatrick phototype 1 to 6 (reference phototype I: intense photoaging at 40; phototype VI: less photoaging until 70).
Calculator Derma Geri Sunscreen Amount Person Body
Estimates ideal sunscreen amount in grams per application for elderly body based on informed body weight in kilograms (reference 2 mg/cm2 rule or Teaspoon Rule: approximately 30 g for whole body in average 70 kg adult).
Calculator Derma Geri Anti Aging Cream Amount Person Area
Estimates ideal anti aging cream amount (retinoid biostimulator peptides) in grams per application based on informed facial area in square centimeters (reference face + neck: approximately 1.5 g per application or half teaspoon).
Calculator Derma Geri Wrinkle Treatment Time Months
Estimates average time in months for visible result of dermatological anti wrinkle treatment (botulinum toxin filler biostimulator laser microneedling) in elderly person based on informed number of sessions or applications (reference: 1 month botox; 3-6 months biostimulator).
Calculator Derma Geri Spots Treatment Time Months
Estimates average time in months for senile spots and solar lentigines clearance (topical depigmenting laser Q-switched peeling) in elderly person based on informed number of sessions or applications (reference: 3 months topical hydroquinone; 1-2 laser Q-switched sessions).
Calculator Finnish Kalakukko Recipe Per Person
Estimates ingredient quantities for Finnish kalakukko recipe (fish-filled rye bread with muikku perch and bacon baked in traditional Savonia oven) per informed number of people.
Calculator Finnish Karjalanpiirakka Recipe Per Person
Estimates ingredient quantities for Finnish karjalanpiirakka recipe (Karelian rye crust pie filled with rice porridge served with egg butter munavoi) per informed number of people.
Calculator Finnish Leipajuusto Recipe Per Person
Estimates ingredient quantities for Finnish leipajuusto recipe (traditional bread cheese from Ostrobothnia served with cloudberry jam or hot coffee) per informed number of people.
Calculator Finnish Lohikeitto Recipe Per Person
Estimates ingredient quantities for Finnish lohikeitto recipe (creamy salmon soup with potato onion and fresh dill traditional winter dish) per informed number of people.
Calculator Finnish Kotletti Recipe Per Person
Estimates ingredient quantities for Finnish kotletti recipe (flattened ground meat patty served with cream sauce boiled potato and pickled cucumber) per informed number of people.
Calculator Finnish Pulla Recipe Per Person
Estimates ingredient quantities for Finnish pulla recipe (braided sweet bun with aromatic cardamom served at kahvitauko afternoon coffee break) per informed number of people.
Calculator Swedish Kottbullar Recipe Per Person
Estimates ingredient quantities for Swedish kottbullar recipe (traditional meatballs with cream sauce served with mashed potato lingonberry jam and pickled cucumbers) per informed number of people.
Calculator Swedish Gravlax Recipe Per Person
Estimates ingredient quantities for Swedish gravlax recipe (salmon cured with salt sugar and fresh dill served with hovmastarsas mustard sauce and rye bread) per informed number of people.
Calculator Swedish Smorgasbord Recipe Per Person Quantity
Estimates item quantities for Swedish smorgasbord recipe (traditional banquet feast table with pickled herrings cheeses pates cold and hot dishes various breads salmon dishes and cold meats) per informed number of people.
Calculator Swedish Jansson Frestelse Recipe Per Person
Estimates ingredient quantities for Swedish jansson frestelse recipe (Jansson temptation gratin with potato anchovy sprats and cream baked traditional Christmas julbord) per informed number of people.
Calculator Swedish Pyttipanna Recipe Per Person
Estimates ingredient quantities for Swedish pyttipanna recipe (small cubes pan fry with potato onion and leftover meat served with fried egg pickled beetroot and ketchup) per informed number of people.
Calculator Swedish Prinsesstarta Recipe Per Person
Estimates ingredient quantities for Swedish prinsesstarta recipe (princess cake with green marzipan cover layers of cream chantilly and raspberry jam decorated with marzipan rose) per informed number of people.
Calculator Swedish Glogg Recipe Per Person Drink
Estimates ingredient quantities for Swedish glogg recipe (spiced Christmas mulled wine with cinnamon cardamom cloves raisins and almonds served with seven kinds of cookies sjuasorter kakor) per informed number of people.
Calculator Rogue Binding of Isaac Run Completion Time
Estimates average time to complete runs in The Binding of Isaac (2011 indie rogue-like by Edmund McMillen Rebirth Afterbirth Repentance with cellars catacombs womb chest and dark room items trinkets) based on informed number of runs (reference speedrun any% Mom 18 min; casual Greedier mode 60 min; full clear 100% 300 h).
Calculator Rogue Spelunky Run Completion Time
Estimates average time to complete runs in Spelunky and Spelunky 2 (rogue-like platformer by Derek Yu with Mines Jungle Ice Caves Temple Hell and Cosmic Ocean) based on informed number of runs (reference speedrun any% 1-4 8 min; Hell 25 min; Cosmic Ocean 65 min).
Calculator Rogue Dead Cells Run Completion Time
Estimates average time to complete runs in Dead Cells (Motion Twin rogue-like metroidvania with 5 BC boss cells Hand of the King Giant The Collector Conjuctivius and DLCs Bad Seed Fatal Falls The Queen and the Sea The Lord of the King) based on informed number of runs.
Calculator Rogue Rogue Legacy Run Completion Time
Estimates average time to complete runs in Rogue Legacy and Rogue Legacy 2 by Cellar Door Games (rogue-lite with heir lineage castle Hamson Forrest Maya Tower and Land of Darkness) based on informed number of runs.
Calculator Rogue Slay the Spire Action Completion Time
Estimates average time to complete actions in Slay the Spire by MegaCrit (deckbuilder rogue-like with Ironclad Silent Defect and Watcher 3 acts boss act 3 Awakened One Donut and Time Eater Heart in act 4) based on informed number of actions.
Calculator Rogue Hades Escape Completion Time
Estimates average time to complete escapes in Hades by Supergiant Games (Greek myth rogue-lite with Zagreus escaping the underworld via Tartarus Asphodel Elysium and Temple of Styx to face boss Hades and reach the surface seeking mother Persephone with weapons and Olympian gods relics) based on informed number of escapes.
Calculator Rogue Into the Breach Action Completion Time
Estimates average time to complete actions in Into the Breach by Subset Games (tactical rogue-like with time-travel mechs saving humanity from the Vek with Rift Walkers Rusting Hulks Zenith Guard Blitzkrieg Steel Judoka Flame Behemoths Frozen Titans Hazardous Mechs and Advanced Edition DLC) based on informed number of actions.
Calculator Rogue FTL Run Completion Time
Estimates average time to complete runs in FTL Faster Than Light by Subset Games (space rogue-like with Kestrel Engi Federation Mantis Slug Stealth Crystal Rock Lanius cruisers to final Rebel Flagship phase 3 in 8 sectors with random events Advanced Edition DLC) based on informed number of runs.
Calculator Rogue Darkest Dungeon Expedition Completion Time
Estimates average time to complete expeditions in Darkest Dungeon by Red Hook (gothic rogue-like with Crusader Highwayman Vestal Plague Doctor Hellion Bounty Hunter Occultist Leper Grave Robber Jester Man-at-Arms Houndmaster Arbalest Abomination Antiquarian DLCs Crimson Court Color of Madness Butcher Circus and DD2) based on informed number of expeditions.
Calculator Rogue Risk of Rain Run Completion Time
Estimates average time to complete runs in Risk of Rain 1 and 2 by Hopoo Games (2D and 3D rogue-like with Commando Huntress Engineer MUL-T Artificer Mercenary Loader Acrid Captain Bandit Heretic and DLCs Survivors of the Void Seekers of the Storm Petrichor V planet) based on informed number of runs.
Calculator Rogue Enter the Gungeon Run Completion Time
Estimates average time to complete runs in Enter the Gungeon by Dodge Roll (bullet hell rogue-like with Marine Pilot Convict Hunter Bullet Robot Paradox Gunslinger floors Keep Oubliette Abbey Black Powder Mine Hollow Forge to boss Lich and past) based on informed number of runs.
Calculator Rogue Nethack Run Completion Time
Estimates average time to complete runs in NetHack (classic 1987 ASCII rogue-like with Archeologist Barbarian Caveman Healer Knight Monk Priest Ranger Rogue Samurai Tourist Valkyrie Wizard Dungeons of Doom Gnomish Mines Mine Town Quest Sokoban Vlad Tower Astral Plane and Amulet of Yendor) based on informed number of runs.
Calculator Rogue Dungeon Crawl Stone Soup Run Time
Estimates average time to complete runs in Dungeon Crawl Stone Soup DCSS (open source rogue-like with 27 races Minotaur Demigod Spriggan Vine Stalker and more and 23 backgrounds Berserker Fire Elementalist Necromancer Hunter Earth Elementalist seeking Orb of Zot and 15 runes) based on informed number of runs.
Calculator Crystal Project Build Time MB
Estimates average build time for a Crystal language project (compiled language with Ruby-like syntax created by Ary Borenszweig with type inference AOT LLVM compilation and built-in fibers) based on informed size in megabytes.
Calculator Crystal Throughput RPS Routes
Estimates HTTP route throughput in requests per second RPS implemented in Crystal using HTTP::Server from standard library (AOT compiled with cooperative fibers and MT-aware scheduler) based on informed number of concurrent routes.
Calculator Crystal Amber Throughput RPS
Estimates RPS throughput of Amber web framework in Crystal (full-stack framework inspired by Rails with MVC routing controllers views Slang templates websockets pipes Granite ORM and validations) based on informed number of concurrent routes.
Calculator Crystal Kemal Throughput RPS
Estimates RPS throughput of Kemal web framework in Crystal (fast micro framework inspired by Sinatra with get post put delete syntax and middleware) based on informed number of concurrent routes.
Calculator Crystal Lucky Throughput RPS
Estimates RPS throughput of Lucky web framework in Crystal (type-safe full-stack framework created by Paul Smith with Avram type-safe ORM HTML builders and LuckyMiner CLI) based on informed number of concurrent routes.
Calculator Crystal Fiber Spawn Microseconds
Estimates average time in microseconds to spawn Crystal fiber (lightweight cooperative coroutine M:N scheduler with built-in Channel and experimental multi-thread support via Crystal::Scheduler) based on informed number of fibers.
Calculator Pony Messages Per Second Throughput
Estimates messages per second throughput in Pony language (actor-based concurrency with reference capabilities iso val ref box trn tag and Orca per-actor GC with zero data race guaranteed at compile time) based on informed number of concurrent actors.
Calculator Pony Actor Spawn Microseconds
Estimates average time in microseconds to spawn Pony actor (primary unit of concurrency structure with FIFO mailbox Orca distributed GC reference capabilities iso val tag and zero data race) based on informed number of actors.
Calculator Pony Project Build Time MB
Estimates average build time for a Pony language project (ponyc compiler with reference capabilities type checking LLVM backend optimization passes and static link to native binary) based on informed size in megabytes.
Calculator Pony Bundle Size MB Dependencies
Estimates final binary size in megabytes for Pony project (static binary with integrated Orca GC runtime backtrace symbols stripped versus debug) based on informed number of corral dependencies.
Calculator Zig Project Build Time MB
Estimates average build time for a Zig language project (system language created by Andrew Kelley with comptime built-in cross-compilation zig build LLVM and self-hosted compiler in development) based on informed size in megabytes.
Calculator Zig Throughput RPS Routes
Estimates HTTP route throughput in requests per second RPS implemented in Zig using std.http.Server from standard library or Zap framework (AOT compiled with zero allocations possible comptime monomorphization) based on informed number of concurrent routes.
Calculator Endo Root Canal Treatment Time Per Person
Estimates average time in minutes for complete root canal endodontic treatment per person based on informed number of canals (reference upper central incisor 1 canal 45 min; lower molar 3 to 4 canals 90 to 120 min; retreatment additional 30 min).
Calculator Endo Gutta Percha Cone Quantity Per Person Per Canal
Estimates quantity of gutta percha cones needed for root canal obturation per person based on informed number of canals (reference lateral condensation technique 1 master cone + 4 to 6 accessory cones FF FM per canal; single cone System B Beefill technique 1 calibrated cone per canal).
Calculator Endo Canal Sealer Quantity Per Person mg
Estimates quantity of endodontic sealer in milligrams needed for obturation per person based on informed number of canals (reference AH Plus epoxy 30 mg per incisor canal 60 mg per molar; MTA Fillapex 40 mg per canal; Endofill ZOE 50 mg).
Calculator Endo Block Anesthesia Per Person ml
Estimates block anesthesia quantity in milliliters needed for nerve block per person based on informed number of cartridges (reference inferior alveolar nerve block 1 cartridge 1.8 ml lidocaine 2% epinephrine 1:100000; mental 0.9 ml; lingual 0.5 ml).
Calculator Endo Infiltrative Anesthesia Per Person ml
Estimates infiltrative anesthesia quantity in milliliters needed per person based on informed number of cartridges (reference supraperiosteal vestibular infiltration 0.9 ml lidocaine 2% per tooth; palatal 0.3 ml; intraligamentary 0.2 ml).
Calculator Endo Hypochlorite Irrigation Quantity ml
Estimates sodium hypochlorite NaOCl quantity in milliliters for endodontic irrigation per person based on informed number of canals (reference NaOCl 2.5% to 5.25% 5 ml per canal between each file during all instrumentation time updated Dakin protocol).
Calculator Endo EDTA Quantity Per Person ml Irrigation
Estimates EDTA ethylenediaminetetraacetic acid 17% quantity in milliliters for final endodontic irrigation per person based on informed number of canals (reference EDTA 17% 1 ml per canal for 1 min for smear layer removal followed by final NaOCl).
Calculator Endo Instrumentation Time Per Person Per Canal
Estimates average chemo-mechanical instrumentation time in minutes for root canals per person based on informed number of canals (reference NiTi rotary technique ProTaper Next or WaveOne Gold 8 to 12 min per canal; manual K-files technique 20 to 30 min).
Calculator Endo Obturation Time Per Person Per Canal
Estimates average obturation time in minutes for endodontic canals per person based on informed number of canals (reference classic lateral condensation 12 min per canal; single cone hydraulic bioceramic 6 min; vertical Schilder condensation 15 min).
Calculator Endo Immobilization Time Per Person Days
Estimates average immobilization time in days after dental trauma or replantation per person based on informed number of teeth (reference avulsion replantation 14 days flexible; lateral luxation 4 weeks; root fracture 4 months; subluxation 2 weeks).
Calculator Endo Final Restoration Time Per Person Months
Estimates average time in months until definitive coronal final restoration after endodontic treatment per person based on informed number of teeth (reference immediate definitive restoration post endo 1 to 4 weeks ideal; full crown up to 6 months post endo; intraradicular core 2 weeks).
Calculator Endo Radiographic Follow Up Time Per Person Months
Estimates radiographic follow up schedule post endodontic treatment per person based on informed number of teeth (reference American Association of Endodontists AAE protocol follow up 6 months 1 year and 2 to 4 years with periapical and CBCT cone beam tomography when indicated).
Calculator Danish Smorrebrod Recipe Per Person
Estimates ingredient quantities for Danish smorrebrod recipe (open faced sandwich on rye rugbrod bread with marinated herring salmon roastbeef or egg fried onion per informed number of people).
Calculator Danish Frikadeller Recipe Per Person
Estimates ingredient quantities for Danish frikadeller recipe (fried meatballs of ground pork beef with onion breadcrumbs egg milk served with potato and brown gravy) per informed number of people.
Calculator Danish Rodgrod Med Flode Recipe Per Person
Estimates ingredient quantities for Danish rodgrod med flode recipe (red berry compote pudding strawberry raspberry currant with cornstarch served with cold cream) per informed number of people.
Calculator Danish Aebleskiver Recipe Per Person
Estimates ingredient quantities for Danish aebleskiver recipe (spherical sweet pancake balls cooked in special pan with leavened batter sugar vanilla cardamom served with powdered sugar and jam) per informed number of people.
Calculator Danish Stegt Flask Recipe Per Person
Estimates ingredient quantities for Danish stegt flask recipe (Danish national dish with sliced crispy fried pork belly served with boiled potato and parsley sauce persillesovs) per informed number of people.
Calculator Norwegian Fiskeboller Recipe Per Person
Estimates ingredient quantities for Norwegian fiskeboller recipe (white fish meatballs cod or haddock with milk starch and onion boiled in broth served with white sauce and potato) per informed number of people.
Calculator Norwegian Farikal Recipe Per Person
Estimates ingredient quantities for Norwegian farikal recipe (national stew with lamb cabbage whole black peppercorns slow cooked elected Norwegian national dish 2014) per informed number of people.
Calculator Norwegian Lutefisk Recipe Per Person
Estimates ingredient quantities for Norwegian lutefisk recipe (dried cod cured in lye rehydrated served with bacon potato peas traditional Christmas Norway) per informed number of people.
Calculator Norwegian Rakfisk Recipe Per Person
Estimates ingredient quantities for Norwegian rakfisk recipe (trout fermented 2 to 12 months in brine served with flatbread lefse onion sour cream traditional Valdres valley delicacy) per informed number of people.
Calculator Norwegian Kjottkaker Recipe Per Person
Estimates ingredient quantities for Norwegian kjottkaker recipe (large meatballs of ground beef with milk onion nutmeg fried served with brown gravy cabbage and potato) per informed number of people.
Calculator Norwegian Pinnekjott Recipe Per Person
Estimates ingredient quantities for Norwegian pinnekjott recipe (salted dried cured lamb ribs steamed on birch twigs served with potato rutabaga puree traditional Christmas western Norway) per informed number of people.
Calculator Norwegian Krumkake Recipe Per Person Quantity
Estimates ingredient quantities for Norwegian krumkake recipe (thin waffle cone biscuit rolled on iron served with whipped cream or multekrem cloudberry cream) per informed number of people.
Calculator Norwegian Aquavit Beverage Per Person
Estimates quantities to serve Norwegian aquavit (potato or grain distillate flavored with caraway dill coriander aged in oak barrels Linie crossed the equator) per informed number of people.
Calculator Hack Slash Diablo Time Complete Season
Estimates average time in hours to complete a season of Diablo 4 by Blizzard including season journey Lilith captures pinnacles sigils per informed number of seasons.
Calculator Hack Slash Path of Exile Time Complete Act
Estimates average time in hours to complete acts of Path of Exile by Grinding Gear Games including 10 acts campaign labyrinth atlas maps pinnacle bosses per informed number of acts.
Calculator Hack Slash Grim Dawn Time Complete Campaign
Estimates average time in hours to complete Grim Dawn campaign by Crate Entertainment including 4 acts expansions Ashes of Malmouth and Forgotten Gods Crucible per informed number of campaigns.
Calculator Hack Slash Torchlight Time Complete Game
Estimates average time in hours to complete Torchlight 2 and Torchlight Infinite by Runic Games including 4 acts new game plus mapworks per informed number of games.
Calculator Hack Slash Victor Vran Time Complete Game
Estimates average time in hours to complete Victor Vran Overkill Edition by Haemimont Games including base campaign Fractured Worlds DLC and Motorhead Through the Ages per informed number of games.
Calculator Hack Slash Titan Quest Time Complete Act
Estimates average time in hours to complete Titan Quest Anniversary Edition acts by Iron Lore Studios including Immortal Throne Ragnarok Atlantis Eternal Embers expansions per informed number of acts.
Calculator Hack Slash Wolcen Time Complete Campaign
Estimates average time in hours to complete Wolcen Lords of Mayhem campaign by Wolcen Studio including 3 acts endgame champion of stormfall city projects per informed number of campaigns.
Calculator Hack Slash Last Epoch Time Complete Campaign
Estimates average time in hours to complete Last Epoch campaign by Eleventh Hour Games including 9 chapters monoliths of fate arenas eternal dungeon per informed number of campaigns.
Calculator Hack Slash Undecember Time Complete Act
Estimates average time in hours to complete Undecember acts by Needs Games and LineGames including 10 chapters campaign cave chronicles cooperative raids per informed number of acts.
Calculator Hack Slash Warhammer Chaosbane Time Complete
Estimates average time in hours to complete Warhammer Chaosbane by Eko Software including 4 acts Old World campaign Tomb Kings expansion boss rush relic hunter per informed number of games.
Calculator Hack Slash Van Helsing Time Complete Act
Estimates average time in hours to complete Incredible Adventures of Van Helsing by NeocoreGames including Final Cut trilogy 3 acts Borgovia campaign scenarios neverending story per informed number of acts.
Calculator Hack Slash Throne of Darkness Time Complete
Estimates average time in hours to complete Throne of Darkness by Click Entertainment 2001 Sierra Studios including feudal Japan 7 samurai 4 acts Yamato campaign zombie boss per informed number of games.
Calculator Hack Slash Magicka Time Complete Game
Estimates average time in hours to complete Magicka 1 and 2 by Arrowhead Game Studios including 12 chapter campaign Vlad vampire Khan Niflheim DLCs Wizard Wars per informed number of games.
Calculator Kotlin JVM Startup Time Project MB
Estimates startup time of Kotlin JVM server application by JetBrains based on project size in MB compiled to bytecode with Spring Boot or Ktor frameworks.
Calculator Kotlin JVM Throughput RPS Routes
Estimates requests per second of Kotlin JVM server with Ktor Spring Boot or Vert.x using coroutines suspend functions based on number of routes registered on server.
Calculator Scala Akka Throughput RPS Routes
Estimates requests per second of Scala server with Akka HTTP Lightbend using actor model and streams based on number of routes registered on Akka HTTP server.
Calculator Scala Play Throughput RPS Routes
Estimates requests per second of Scala server with Play Framework by Lightbend using Action async and WebSocket support based on number of routes registered on Play.
Calculator Scala ZIO Throughput Tasks Second
Estimates tasks per second of Scala application with ZIO 2 effect system by Ziverge using ZIO Runtime Fibers and ZIO HTTP based on number of concurrent tasks on runtime.
Calculator Scala Cats Effect Throughput Tasks
Estimates tasks per second of Scala application with Cats Effect 3 by Typelevel using IO Resource Fiber and http4s based on number of concurrent tasks on IO runtime.
Calculator Clojure Throughput RPS Routes
Estimates requests per second of Clojure application by Cognitect Rich Hickey running on JVM with persistent data structures based on number of routes registered on server.
Calculator Clojure Ring Throughput RPS
Estimates requests per second of Clojure Ring HTTP spec server by Clojure community middleware handler request map based on number of middlewares on Ring pipeline.
Calculator Clojure Luminus Throughput RPS
Estimates requests per second of Clojure Luminus framework application by Yogthos based on Ring HugSQL Selmer Reitit Mount Conman based on number of routes registered on Luminus.
Calculator Groovy Throughput RPS Routes
Estimates requests per second of Groovy application by Apache running on JVM with dynamic syntax and static compilation @CompileStatic based on number of routes registered.
Calculator Groovy Grails Throughput RPS
Estimates requests per second of Groovy Grails framework application by Object Computing based on Spring Boot Hibernate GORM GSP views based on number of routes registered on Grails.
Calculator JVM GraalVM Throughput vs HotSpot
Estimates comparative throughput between GraalVM by Oracle Labs and HotSpot OpenJDK in common Renaissance DaCapo SPECjbb2015 benchmarks based on number of benchmarks executed.
Calculator Advanced Ortho Hip Prosthesis Recovery Time Months
Estimates average time in months for recovery after total or partial hip arthroplasty per person based on informed number of surgeries (reference return to normal gait 6 to 12 weeks; low impact sports 3 to 6 months; complete recovery 12 months).
Calculator Advanced Ortho Knee Prosthesis Recovery Time Months
Estimates average time in months for recovery after total knee arthroplasty TKA per person based on informed number of surgeries (reference ROM 120 degrees at 6 weeks; return to work 3 months; complete recovery 12 months).
Calculator Advanced Ortho Shoulder Prosthesis Recovery Time Months
Estimates average time in months for recovery after anatomic or reverse shoulder arthroplasty per person based on informed number of surgeries (reference sling 4 to 6 weeks; full ROM 6 months; complete recovery 12 months).
Calculator Advanced Ortho Femur Fracture Surgery Recovery Months
Estimates average time in months for recovery after femoral fracture with surgical fixation intramedullary nail or DHS per person based on informed number of fractures (reference union 3 to 6 months; full weight bearing 6 to 12 weeks; complete return 12 months).
Calculator Advanced Ortho Tibia Fracture Surgery Recovery Months
Estimates average time in months for recovery after tibial fracture with surgical fixation intramedullary nail or plate per person based on informed number of fractures (reference union 4 to 8 months; full weight bearing 8 to 16 weeks; complete return 12 months).
Calculator Advanced Ortho Shoulder Dislocation Recovery Months
Estimates average time in months for recovery after anterior glenohumeral shoulder dislocation with or without Bankart repair per person based on informed number of events (reference immobilization 3 weeks; physiotherapy 3 months; sports return 6 months).
Calculator Advanced Ortho Elbow Dislocation Recovery Months
Estimates average time in months for recovery after posterior elbow dislocation simple or complex terrible triad per person based on informed number of events (reference immobilization 1 to 2 weeks; full ROM 3 months; complete return 6 months).
Calculator Advanced Ortho ACL Reconstruction Surgery Recovery Months
Estimates average time in months for recovery after anterior cruciate ligament ACL reconstruction per person based on informed number of surgeries (reference full weight bearing 6 weeks; full ROM 3 months; sports return 9 to 12 months).
Calculator Advanced Ortho MCL Surgery Recovery Months
Estimates average time in months for recovery after surgical medial collateral ligament MCL repair of knee per person based on informed number of surgeries (reference immobilization 4 to 6 weeks; full ROM 3 months; sports return 6 to 9 months).
Calculator Advanced Ortho Achilles Tendon Recovery Months
Estimates average time in months for recovery after Achilles tendon rupture with surgical or functional conservative treatment per person based on informed number of events (reference Walker boot 6 to 8 weeks; running 4 to 6 months; sports 9 months).
Calculator Advanced Ortho Rotator Cuff Recovery Months
Estimates average time in months for recovery after surgical rotator cuff supraspinatus repair per person based on informed number of surgeries (reference sling 6 weeks; full ROM 4 months; complete recovery 12 months).
Calculator Advanced Ortho Biceps Tendon Recovery Months
Estimates average time in months for recovery after distal biceps brachii tendon rupture with tenodesis per person based on informed number of events (reference sling 4 to 6 weeks; full ROM 3 months; complete return 6 months).
Calculator Icelandic Hakarl Recipe Per Person
Estimates ingredient quantities for Icelandic hakarl recipe (Greenland shark fermented for 6 to 12 weeks and air cured for 4 to 5 months served in cubes with brennivin) per informed number of people.
Calculator Icelandic Plokkfiskur Recipe Per Person
Estimates ingredient quantities for Icelandic plokkfiskur recipe (fish stew with cooked cod or haddock shredded mixed with boiled potato sauteed onion butter and bechamel) per informed number of people.
Calculator Icelandic Skyr Recipe Per Person
Estimates ingredient quantities for Icelandic skyr recipe (traditional fermented dairy similar to Greek yogurt with skimmed milk mesophilic rennet and skyr culture served with honey red fruits or sugar) per informed number of people.
Calculator Icelandic Kjotsupa Recipe Per Person
Estimates ingredient quantities for Icelandic kjotsupa recipe (traditional lamb soup with root vegetables carrot potato turnip rutabaga and herbs served in harsh Icelandic winters) per informed number of people.
Calculator Icelandic Hangikjot Recipe Per Person
Estimates ingredient quantities for Icelandic hangikjot recipe (smoked and cured lamb traditionally served in thin slices with potato pea bechamel and special laufabraud bread Icelandic Christmas) per informed number of people.
Calculator Scottish Haggis Recipe Per Person
Estimates ingredient quantities for Scottish haggis recipe (Scottish national dish with chopped lamb offal oats onion suet spices cooked in sheep stomach served with neeps and tatties on Burns Night) per informed number of people.
Calculator Scottish Cock a Leekie Recipe Per Person
Estimates ingredient quantities for Scottish cock a leekie recipe (medieval soup with chicken broth leek black dried prunes barley traditional Highlands feasts) per informed number of people.
Calculator Scottish Cullen Skink Recipe Per Person
Estimates ingredient quantities for Scottish cullen skink recipe (creamy northeast Scotland soup originating from Cullen village with smoked haddock finnan haddie potato onion milk served with crusty bread) per informed number of people.
Calculator Scottish Scotch Broth Recipe Per Person
Estimates ingredient quantities for Scottish scotch broth recipe (traditional soup with lamb barley root vegetables cabbage yellow peas and herbs served in Highlands winter) per informed number of people.
Calculator Scottish Cranachan Recipe Per Person
Estimates ingredient quantities for Scottish cranachan recipe (Scottish national dessert with toasted oats fresh raspberries whipped cream honey scotch whisky traditional Lammas festivals and Burns Supper) per informed number of people.
Calculator Scottish Tablet Recipe Per Person
Estimates ingredient quantities for Scottish tablet recipe (traditional sweet of condensed milk sugar butter similar to fudge but more brittle granular sold in bakeries throughout Scotland) per informed number of people.
Calculator Scottish Shortbread Recipe Per Person
Estimates ingredient quantities for Scottish shortbread recipe (traditional butter biscuit with three ingredients butter sugar flour medieval origins associated with Mary Queen of Scots) per informed number of people.
Calculator Scottish Whisky Drink Recipe Per Person
Estimates quantities to serve Scottish single malt whisky with mineral water optional ice cheese and bread accompaniments in traditional tasting with three regions Speyside Islay Highlands.
Calculator Classic MMO WoW Time Complete Vanilla Classic
Estimates average time in hours to complete World of Warcraft Classic Vanilla Blizzard including leveling 1 to 60 raids Molten Core Onyxia Blackwing Lair Naxxramas AQ40 dungeon honor PvP ranking professions per informed character.
Calculator Classic MMO WoW Time Complete TBC Classic
Estimates average time in hours to complete World of Warcraft Burning Crusade TBC Classic Blizzard including leveling 60 to 70 Outland Karazhan Gruul Magtheridon SSC TK Hyjal Black Temple Sunwell per informed character.
Calculator Classic MMO WoW Time Complete WotLK Classic
Estimates average time in hours to complete World of Warcraft Wrath of the Lich King WotLK Classic Blizzard including leveling 70 to 80 Northrend Naxxramas Ulduar ToC ICC Ruby Sanctum heroic Death Knight per informed character.
Calculator Classic MMO EverQuest Time Complete Classic
Estimates average time in hours to complete EverQuest 1999 Sony Online Entertainment Verant first 3D MMO including leveling 1 to 50 Plane of Fear Hate Sky raids Vox Naggy Phinigel Autropos per informed character.
Calculator Classic MMO Ragnarok Time Complete Base
Estimates average time in hours to complete Ragnarok Online Gravity 2002 including job changes Novice 1 to Lord Knight Wizard Priest classes 2-2 ascensions MVPs Tao Gunka Baphomet Eddga Doppel base level 99 per informed character.
Calculator Classic MMO Tibia Time Complete Base
Estimates average time in hours to complete Tibia CipSoft 1997 2D top down MMO including leveling 1 to 200 vocations Knight Paladin Sorcerer Druid quests Annihilator Demon Helmet boss raids Yalahar Edron Venore per informed character.
Calculator Classic MMO RuneScape Time Complete Classic
Estimates average time in hours to complete RuneScape Old School OSRS Jagex 2001 including total level 99 all 23 skills quests Dragon Slayer Recipe for Disaster Monkey Madness Quest Cape boss God Wars Theatre Blood per informed character.
Calculator Classic MMO Ultima Online Time Complete
Estimates average time in hours to complete Ultima Online UO Origin Systems EA 1997 first massive graphical MMO including skills 7x GM Grandmaster player housing PvP Felucca Trammel Tokuno Malas dungeons Despise per informed character.
Calculator Classic MMO Lineage 2 Time Complete Classic
Estimates average time in hours to complete Lineage 2 L2 Classic NCSoft 2003 Korean MMO including leveling 1 to 80 third class change subclass siege castle epic boss Antharas Valakas Baium clan war per informed character.
Calculator Classic MMO Aion Time Complete Classic
Estimates average time in hours to complete Aion Tower of Eternity NCSoft 2008 Korean MMO with flight wings including leveling 1 to 65 abyss PvPvE Elyos Asmodian factions fortress siege divine instance Padmarashka per informed character.
Calculator Classic MMO Final Fantasy 11 Time Complete
Estimates average time in hours to complete Final Fantasy XI FFXI Square Enix 2002 MMO including job leveling 1 to 99 all 20 jobs missions Rise of the Zilart Chains of Promathia Treasures of Aht Urhgan dynamis salvage per informed character.
Calculator Classic MMO Final Fantasy 14 Time Complete
Estimates average time in hours to complete Final Fantasy XIV FFXIV A Realm Reborn Square Enix 2013 including MSQ Main Scenario Quest Heavensward Stormblood Shadowbringers Endwalker Dawntrail expansions savage raids per informed character.
Calculator Classic MMO EVE Online Time Complete
Estimates average time in hours to complete EVE Online CCP Games 2003 sandbox space MMO including real time skill training cross trained capital ships titans nullsec sov wars Jita trade hub per informed character.
Calculator Lua Startup Time Script MB
Estimates startup time of Lua script PUC-Rio Roberto Ierusalimschy based on project size in MB loaded by Lua 5.4 interpreter with common LuaRocks libraries like Penlight LuaFileSystem.
Calculator Lua Throughput RPS Routes
Estimates requests per second of Lua server with Lapis or Sailor MVC framework using OpenResty Nginx based on number of routes registered in Lua web application.
Calculator LuaJIT Throughput Comparative Vanilla
Estimates throughput gain of LuaJIT 2.1 Mike Pall compared to vanilla Lua interpreter 5.4 based on number of routes with tracing JIT compiler in hot loop operations.
Calculator OpenResty Throughput RPS Routes
Estimates requests per second of OpenResty Nginx LuaJIT FFI server with ngx_lua module based on number of routes for API gateway reverse proxy authentication applications.
Calculator Tarantool Throughput RPS Routes
Estimates requests per second of Tarantool Mail.ru in-memory database application server LuaJIT based on number of routes and Lua native stored procedure functions.
Calculator Nim Startup Time Project MB
Estimates startup time of Nim application Andreas Rumpf compiled to native via C C plus plus or JS backend based on project size in MB with Nimble libraries.
Calculator Nim Throughput RPS Routes
Estimates requests per second of Nim server Andreas Rumpf with httpbeast asyncdispatch or pure httpserver based on number of routes registered in native web application.
Calculator Nim Jester Throughput RPS
Estimates requests per second of Nim application with Jester framework Dominik Picheta minimalist DSL inspired by Sinatra Ruby Flask Python based on number of routes registered.
Calculator Nim Prologue Throughput RPS
Estimates requests per second of Nim application with Prologue full stack web framework with middleware sessions based on number of routes registered on server.
Calculator Nim Karax Throughput RPS
Estimates requests per second of Nim application with Karax client side SPA framework compiled to JS virtual DOM reactive similar to React based on number of routes and components.
Calculator Nim Async Task Spawn Microseconds
Estimates time in microseconds to create an asynchronous task in Nim with asyncdispatch await spawn channels based on number of parallel tasks registered in event loop.
Calculator Nim Spawn Bundle Size MB
Estimates final binary size in MB generated by Nim compiled in release or danger mode with strip symbols based on number of Nimble dependencies included in nimble file.
Calculator Endo Thyroid TSH Per Person Range
Estimates reference range of TSH thyrotropin pituitary hormone in mUI per L per person based on age gestation newborn adult elderly (laboratory reference adults 0.4 to 4.0 mUI per L).
Calculator Endo Thyroid Free T4 Per Person Range
Estimates reference range of free T4 unbound thyroxine in ng per dL per person based on age according to SBEM Brazilian Society of Endocrinology Metabolism protocol (reference adults 0.7 to 1.8 ng per dL).
Calculator Endo Thyroid T3 Per Person Range
Estimates reference range of T3 triiodothyronine total and free in ng per dL per person based on age adults children pregnant (reference total T3 adults 80 to 180 ng per dL; free T3 2.3 to 4.2 pg per mL).
Calculator Endo Thyroid Anti TPO Per Person Range
Estimates reference range of anti TPO anti thyroid peroxidase antibody in UI per mL per person for Hashimoto thyroiditis autoimmune diagnosis (normal reference less than 35 UI per mL).
Calculator Endo Thyroid Anti TG Per Person Range
Estimates reference range of anti TG anti thyroglobulin antibody in UI per mL per person for Hashimoto thyroiditis autoimmune diagnosis and thyroid cancer follow up (normal reference less than 40 UI per mL).
Calculator Endo Thyroid TG Thyroglobulin Per Person
Estimates reference range of TG thyroglobulin in ng per mL per person tumor marker differentiated thyroid cancer follow up post thyroidectomy radioiodine (reference healthy adults 1.5 to 30 ng per mL).
Calculator Endo Thyroid Calcitonin Per Person
Estimates reference range of serum calcitonin in pg per mL per person tumor marker medullary thyroid carcinoma MTC follow up parafollicular C cells (normal reference men less than 8.4 pg per mL; women less than 5.0 pg per mL).
Calculator Endo Thyroid Levothyroxine Dose mcg Per Person Weight
Estimates initial dose of sodium levothyroxine L-T4 Puran T4 Synthroid in micrograms per day per person based on body weight kg for hypothyroidism treatment (full dose 1.6 to 1.8 mcg per kg per day).
Calculator Endo Thyroid Radio Iodine Dose mCi Per Person
Estimates dose of radioactive iodine I-131 radioiodine in milliCurie mCi per person for thyroid ablation post thyroidectomy differentiated papillary follicular cancer or Graves Disease hyperthyroidism.
Calculator Endo Thyroid Methimazole Dose mg Per Person Day
Estimates dose of methimazole Tapazol thiamazole MMI in mg per day per person for hyperthyroidism Graves disease toxic multinodular goiter treatment antithyroid thioamide (initial dose 10 to 40 mg per day).
Calculator Endo Thyroid Propylthiouracil Dose mg Per Person Day
Estimates dose of propylthiouracil PTU in mg per day per person for hyperthyroidism Graves disease thyrotoxic crisis pregnancy 1st trimester treatment antithyroid thioamide (initial dose 100 to 600 mg per day).
Calculator Endo Thyroid Hypothyroidism Treatment Time Months
Estimates average time in months for hypothyroidism Hashimoto subclinical clinical treatment stabilization with levothyroxine per person based on informed number of events with TSH follow up.
Calculator Irish Stew Recipe Per Person
Estimates ingredient quantities for Irish stew recipe (Irish national stew with mutton lamb potato onion carrot leek broth slow cooked in traditional pot) per informed number of people.
Calculator Colcannon Irish Recipe Per Person
Estimates ingredient quantities for Irish Colcannon recipe (potato mash with kale or cabbage butter milk green onion traditional Halloween Samhain Irish dish) per informed number of people.
Calculator Boxty Irish Recipe Per Person
Estimates ingredient quantities for Irish Boxty recipe (traditional pancake with grated potato mashed potato flour buttermilk baking soda fried served with butter bacon) per informed number of people.
Calculator Dublin Coddle Irish Recipe Per Person
Estimates ingredient quantities for Dublin Irish Coddle recipe (Dublin stew with sausage bacon potato onion stout beer slow cooked historic working class dish) per informed number of people.
Calculator Irish Soda Bread Recipe Per Person
Estimates ingredient quantities for Irish Soda Bread recipe (traditional yeast-free bread with flour buttermilk baking soda salt cross cut on top) per informed number of people.
Calculator Shepherd Pie Irish Recipe Per Person
Estimates ingredient quantities for Irish Shepherd Pie recipe (ground lamb pie with potato mash topping onion carrot peas gravy oven baked) per informed number of people.
Calculator Corned Beef Irish Recipe Per Person
Estimates ingredient quantities for Irish Corned Beef recipe (salted beef brisket spices cooked with cabbage potato carrot St Patrick Day Irish diaspora dish) per informed number of people.
Calculator Welsh Cawl Recipe Per Person
Estimates ingredient quantities for Welsh Cawl recipe (Welsh national stew with mutton lamb leek potato carrot turnip cabbage historic Wales dish St David Day) per informed number of people.
Calculator Bara Brith Welsh Recipe Per Person
Estimates ingredient quantities for Welsh Bara Brith recipe (speckled bread traditional with dried fruits raisins orange peel soaked in tea honey spices cake form) per informed number of people.
Calculator Welsh Laverbread Recipe Per Person
Estimates ingredient quantities for Welsh Laverbread recipe (seaweed bread bara lawr Porphyra seaweed cooked paste mixed with oats fried served with bacon Welsh breakfast) per informed number of people.
Calculator Welsh Rarebit Recipe Per Person
Estimates ingredient quantities for Welsh Rarebit recipe (melted cheese with ale mustard Worcestershire on grilled toast classic British Welsh pub dish) per informed number of people.
Calculator Glamorgan Sausages Welsh Recipe Per Person
Estimates ingredient quantities for Welsh Glamorgan Sausages recipe (traditional vegetarian sausages with Caerphilly cheese breadcrumbs leek mustard egg coated fried Wales) per informed number of people.
Calculator Welsh Cakes Recipe Per Person
Estimates ingredient quantities for Welsh Cakes recipe (traditional flat cakes picau ar y maen cooked on bakestone griddle flour butter sugar raisins spices served with tea) per informed number of people.
Calculator Edu Game Typing Tutor Learning Time
Estimates average time in hours to learn 50 WPM typing in the classic Typing Tutor educational software (90s MS-DOS Windows) based on quantity of lessons practiced per informed student.
Calculator Edu Game Math Blaster Completion Time
Estimates average time in hours to complete all levels of classic Math Blaster educational game Davidson Knowledge Adventure (80s Apple II MS-DOS) based on quantity of lessons phases informed per player.
Calculator Edu Game Reader Rabbit Completion Time
Estimates average time in hours to complete classic Reader Rabbit educational game Learning Company for child literacy (80s 90s Apple II MS-DOS Windows) based on quantity of levels informed.
Calculator Edu Game Kid Pix Learning Time
Estimates average time in hours to master Kid Pix Broderbund classic kids digital painting software (90s Mac Windows) based on hours practiced and tools mastered per child.
Calculator Edu Game Oregon Trail Completion Time
Estimates average time in hours to complete one journey of classic Oregon Trail educational game MECC (70s 80s 90s Apple II MS-DOS Windows) about American pioneers based on quantity of journeys attempted.
Calculator Edu Game Carmen Sandiego Completion Time
Estimates average time in hours to complete one case in classic Where in the World is Carmen Sandiego educational game Broderbund (80s 90s Apple II MS-DOS) about world geography based on quantity of cases informed.
Calculator Edu Game Mavis Beacon Learning Time
Estimates average time in hours to learn 60 WPM typing in classic Mavis Beacon Teaches Typing educational software Mindscape Software Toolworks (80s 90s) based on quantity of lessons practiced.
Calculator Edu Game Zoombinis Completion Time
Estimates average time in hours to complete Logical Journey of the Zoombinis classic educational game Broderbund TERC (90s) about mathematical logic based on quantity of puzzle levels informed.
Calculator Edu Game Spore Phases Completion Time
Estimates average time in hours to complete all phases of educational Spore game Maxis Electronic Arts Will Wright (2008) cell creature tribe civilization space based on quantity of phases informed.
Calculator Edu Game Kerbal Space Program Completion Time
Estimates average time in hours to complete Kerbal Space Program educational game Squad Private Division (2011) rocket orbit simulator orbital mechanics realism based on quantity of missions informed.
Calculator Edu Game Universe Sandbox Learning Time
Estimates average time in hours to master Universe Sandbox educational simulator Giant Army (2008) astronomy gravity N-body physics planetary collisions based on quantity of scenarios informed.
Calculator Edu Game The Incredible Machine Completion Time
Estimates average time in hours to complete puzzles in The Incredible Machine TIM educational game Dynamix Sierra (90s) about mechanical engineering physics Rube Goldberg based on quantity of puzzles informed.
Calculator Edu Game Thinkin Things Completion Time
Estimates average time in hours to complete Thinkin Things classic educational game Edmark IBM (90s) about logic memory patterns child creative thinking based on quantity of modules informed.
Calculator Perl Startup Script MB Time
Estimates Perl Larry Wall script startup time based on project size in MB loaded by Perl 5 interpreter with common CPAN modules like DBI Moose Mojolicious DateTime.
Calculator Perl Throughput RPS Routes
Estimates Perl application requests per second RPS throughput based on quantity of routes informed with plackup Mojolicious Catalyst hypnotoad Starman processes workers.
Calculator Perl Mojolicious Throughput RPS
Estimates Perl Mojolicious Sebastian Riedel web framework real-time non-blocking application requests per second RPS based on quantity of routes informed with Hypnotoad event-loop server.
Calculator Perl Catalyst Throughput RPS
Estimates Perl Catalyst MVC framework Matt S Trout application requests per second RPS based on quantity of routes informed with Starman PSGI server Moose ORM DBIx Class.
Calculator Perl Dancer Throughput RPS
Estimates Perl Dancer Dancer2 Alexis Sukrieh micro web framework application requests per second RPS based on quantity of routes informed with plackup PSGI server.
Calculator Perl Plack Throughput RPS
Estimates Perl Plack PSGI Tatsuhiko Miyagawa web interface application requests per second RPS based on quantity of routes informed with various Starman Twiggy Gazelle backends.
Calculator Perl CPAN Module Installation Time
Estimates Perl CPAN Comprehensive Perl Archive Network module installation time in minutes based on quantity of modules with cpanm cpan-mini dependencies build tests prerequisites.
Calculator Raku Startup Time Script MB
Estimates Raku formerly Perl 6 Larry Wall script startup time based on project size in MB loaded by MoarVM Rakudo compiler with zef modules like Cro DBIish JSON-Fast.
Calculator Raku Throughput RPS Routes
Estimates Raku application requests per second RPS throughput based on quantity of routes informed with Cro HTTP framework concurrency react whenever supply MoarVM threads.
Calculator Raku Cro Throughput RPS
Estimates Raku Cro Jonathan Worthington reactive web framework application requests per second RPS based on quantity of routes informed with router HTTP service supply pipelines.
Calculator Raku Grammar Parse Time ms
Estimates parsing time in milliseconds with Raku Grammar PEG packrat parser builtin EBNF based on input size KB token rule proto tokens declarative parsing tree.
Calculator Raku Junction Throughput Seconds
Estimates Raku Junction quantum superposition type any all one none operations per second based on quantity of elements informed with autothreading auto-vectorization parallel MoarVM.
Calculator Reuma Pediatric JIA Juvenile Aspects Per Person
Estimates Juvenile Idiopathic Arthritis JIA diagnostic criteria ILAR International League of Associations for Rheumatology classification per person based on informed events with onset age under 16 years duration over 6 weeks.
Calculator Reuma Pediatric Systemic JIA Per Person
Estimates Systemic Juvenile Idiopathic Arthritis JIA-s Still disease diagnostic criteria per person based on informed events with fever over 39C 2 weeks salmon macular rash lymphadenopathy hepatosplenomegaly.
Calculator Reuma Pediatric Polyarticular JIA Per Person
Estimates Polyarticular Juvenile Idiopathic Arthritis JIA poly diagnostic criteria per person based on informed events with more than 5 joints affected first 6 months symmetric small large hands feet knees.
Calculator Reuma Pediatric Oligoarticular JIA Per Person
Estimates Oligoarticular Juvenile Idiopathic Arthritis JIA oligo diagnostic criteria per person based on informed events with 1 to 4 joints first 6 months knee ankle persistent extended.
Calculator Reuma Pediatric Enthesitis-Related JIA Per Person
Estimates Enthesitis-Related Juvenile Idiopathic Arthritis ERA diagnostic criteria per person based on informed events with arthritis enthesitis HLA-B27 positive sacroiliac pain acute anterior uveitis.
Calculator Reuma Pediatric Psoriatic JIA Per Person
Estimates Psoriatic Juvenile Idiopathic Arthritis JIA-ps diagnostic criteria per person based on informed events with arthritis plus psoriasis or 2 of dactylitis nail pitting family history psoriasis.
Calculator Reuma Pediatric Methotrexate Dose mg Per Person Weight
Estimates weekly methotrexate MTX subcutaneous oral dose per child based on weight kg for Juvenile Idiopathic Arthritis JIA polyarticular treatment first line DMARD pediatrics 10 to 15 mg/m2 week.
Calculator Reuma Pediatric Leflunomide Dose mg Per Person
Estimates leflunomide Arava daily dose per child DMARD dihydroorotate dehydrogenase inhibitor methotrexate alternative polyarticular JIA based on weight and pediatric category under 20 kg or over.
Calculator Reuma Pediatric Etanercept Dose mg Per Person Weight
Estimates etanercept Enbrel anti-TNF soluble receptor weekly dose per child subcutaneous based on weight kg for polyarticular systemic JIA treatment methotrexate failure 0.8 mg/kg/week max 50 mg.
Calculator Reuma Pediatric Adalimumab Dose mg Per Person
Estimates adalimumab Humira anti-TNF monoclonal antibody biweekly dose per child subcutaneous based on weight pediatric category polyarticular JIA enthesitis uveitis 24 mg/m2 biweekly max 40 mg.
Calculator Reuma Pediatric Tocilizumab Dose mg Per Person
Estimates tocilizumab Actemra anti-IL6 monoclonal antibody intravenous dose per child based on weight for Systemic JIA JIA-s Still treatment 12 mg/kg under 30 kg or 8 mg/kg over 30 kg every 2 weeks.
Calculator Reuma Pediatric Anakinra Dose mg Per Person Weight
Estimates anakinra Kineret anti-IL1 receptor antagonist daily dose per child subcutaneous based on weight kg for Systemic JIA JIA-s Macrophage Activation Syndrome MAS autoinflammatory diseases treatment 1 to 4 mg/kg/day.
Calculator Meat Pie Australian Recipe Per Person
Estimates ingredient quantities for Australian Meat Pie recipe (ground beef onion gravy puff pastry individual cover Australian national snack) per informed number of people.
Calculator Sausage Roll Australian Recipe Per Person
Estimates ingredient quantities for Australian Sausage Roll recipe (sausage roll puff pastry pork meat seasoning Australian national school snack) per informed number of people.
Calculator Pavlova Australian Recipe Per Person Quantity
Estimates ingredient quantities for Australian Pavlova recipe (national dessert crispy outside soft inside meringue whipped cream fresh fruits kiwi strawberry passion fruit disputed dish AU NZ) per informed number of people.
Calculator Lamington Australian Recipe Per Person
Estimates ingredient quantities for Australian Lamington recipe (white sponge cake cube dipped in chocolate coconut coating sometimes jam filling Australian national cake) per informed number of people.
Calculator ANZAC Biscuit Australian Recipe Per Person
Estimates ingredient quantities for Australian ANZAC Biscuit recipe (traditional military biscuit Australian and New Zealand Army Corps oats coconut golden syrup WWI historical sent to soldiers) per informed number of people.
Calculator Fairy Bread Australian Recipe Per Person
Estimates ingredient quantities for Australian Fairy Bread recipe (white bread slice butter colored sprinkles hundreds and thousands traditional kids party birthday snack Australian national) per informed number of people.
Calculator Tim Tam Australian Recipe Per Person
Estimates ingredient quantities for Australian Tim Tam recipe (filled biscuit two chocolate biscuits cream filling chocolate coating homemade inspired by Arnotts brand famous Australia) per informed number of people.
Calculator Vegemite Toast Australian Recipe Per Person
Estimates ingredient quantities for Australian Vegemite Toast recipe (toast bread butter Vegemite spread yeast extract salty umami typical Australian breakfast) per informed number of people.
Calculator Grilled Barramundi Australian Recipe Per Person
Estimates ingredient quantities for Australian Grilled Barramundi recipe (national fish native Australian catch white firm delicate flesh grill lemon herbs fine restaurant dishes) per informed number of people.
Calculator Damper Bread Australian Recipe Per Person
Estimates ingredient quantities for Australian Damper Bread recipe (traditional bushman hikers bread flour water salt cooked on coals campfire practical camping historical Outback) per informed number of people.
Calculator Hokey Pokey NZ Recipe Per Person
Estimates ingredient quantities for NZ Hokey Pokey recipe (vanilla ice cream honeycomb crunchy caramel pieces traditional New Zealand best selling flavor country) per informed number of people.
Calculator Pavlova NZ Recipe Per Person Quantity
Estimates ingredient quantities for NZ Pavlova recipe (national dessert meringue whipped cream native NZ kiwi origin claimed by New Zealand Anna Pavlova Russian ballerina) per informed number of people.
Calculator Fish and Chips NZ Recipe Per Person
Estimates ingredient quantities for NZ Fish and Chips recipe (battered fish chips take away iconic friday night fish and chips shop NZ snapper hoki) per informed number of people.
Calculator Kumara NZ Recipe Per Person
Estimates ingredient quantities for NZ Kumara recipe (native Polynesian sweet potato brought by Maori NZ roasted olive oil rosemary herbs barbecue side dish) per informed number of people.
Calculator Hangi NZ Recipe Per Person Quantity
Estimates ingredient quantities for NZ Hangi recipe (traditional Maori cooking method hot stones earth pit meat vegetables leaves chicken lamb pork kumara potato onion carrot) per informed number of people.
Calculator Flat White Australian Recipe Per Person
Estimates ingredient quantities for Australian Flat White recipe (espresso steamed milk microfoam specialty coffee style claimed by Australia New Zealand popular third wave cafes) per informed number of people.
Calculator TCG Magic Deck Cards Format
Estimates card quantity needed for Magic The Gathering MTG deck per chosen format Standard Pioneer Modern Legacy Vintage Commander EDH based on informed multiplier.
Calculator TCG Magic Mana Curve Deck
Estimates ideal mana curve distribution for Magic The Gathering MTG deck based on informed non land card count aggro midrange control suggested quantity per CMC.
Calculator TCG Pokemon Deck Cards Format
Estimates card quantity and composition for Pokemon TCG deck per Standard Expanded Unlimited GLC theme deck format based on informed multiplier official Pokemon Company rules.
Calculator TCG Pokemon Evolution Line Per Person
Estimates Pokemon TCG evolution line basic stage 1 stage 2 ratio recommended for draw deck consistency based on informed stage 2 copies.
Calculator TCG YuGiOh Deck Cards Format
Estimates card quantity for YuGiOh TCG OCG deck per Advanced Traditional Goat Edison Speed Duel format based on informed multiplier official Konami rules.
Calculator TCG YuGiOh Extra Deck Cards Format
Estimates YuGiOh Extra Deck composition with Fusion Synchro Xyz Link monsters recommended quantity per type based on informed copies Master Rule.
Calculator TCG Cardfight Vanguard Deck Cards
Estimates card quantity for Cardfight Vanguard TCG Bushiroad deck per V Premium Standard format based on informed multiplier official rules trigger units main.
Calculator TCG Keyforge Deck Cards Format
Estimates Keyforge TCG deck structure unique algorithmic cannot be modified pre-built unique decks houses Brobnar Dis Logos Mars Sanctum Shadows Untamed Saurian Star Alliance Geistoid Skyborn.
Calculator TCG Flesh and Blood Deck Cards
Estimates Flesh and Blood FaB TCG Legend Story Studios deck composition per Classic Constructed Blitz Commoner Living Legend format hero deck weapons equipment.
Calculator TCG Lorcana Deck Cards Format
Estimates card quantity for Disney Lorcana TCG Ravensburger deck per Core Constructed Sealed format based on informed multiplier official rules inks Amber Amethyst Emerald Ruby Sapphire Steel.
Calculator TCG Altered Deck Cards Format
Estimates Altered TCG Equinox 2024 deck composition Standard format hero class Axiom Bravos Lyra Muna Ordis Yzmir cards factions lands characters spells.
Calculator TCG Grand Archive Deck Cards
Estimates Grand Archive TCG Weebs of the Shore deck composition Standard format champion material elements Crux Astra Exia Luxem Tera Umbra Neos.
Calculator TCG Final Fantasy TCG Deck Cards
Estimates card quantity for Final Fantasy TCG Square Enix deck per Standard Lite Constructed format based on informed multiplier official rules elements Fire Ice Wind Earth Lightning Water Light Dark.
Calculator R Throughput Data Frame Rows Per Second
Estimates R data frame manipulation throughput base data.table dplyr tidyverse rows per second based on informed number of operations memory vectorized operations.
Calculator R Tidyverse Pipe Overhead ms
Estimates R tidyverse pipe %>% magrittr and |> native chaining operators overhead based on informed number of pipes milliseconds vs code without pipe.
Calculator R ggplot2 Render Time ms
Estimates ggplot2 chart rendering time based on informed number of points layers themes PNG SVG PDF output approximate time in milliseconds.
Calculator R Shiny Throughput RPS
Estimates R Shiny app throughput requests per second based on informed concurrent sessions reactive expressions worker processes.
Calculator R data.table Throughput Rows Per Second
Estimates R data.table package specific throughput group by aggregation join filter rows per second based on informed complexity optimized C engine.
Calculator Julia Time Startup Project MB
Estimates Julia REPL TTFX time to first execution startup based on project size MB precompiled dependencies PackageCompiler.jl reduces time to first plot.
Calculator Julia Throughput RPS Routes
Estimates Julia web HTTP.jl Oxygen.jl Genie.jl throughput requests per second based on informed number of routes JIT compilation performance near C.
Calculator Julia Genie Throughput RPS
Estimates Julia Genie framework web full stack throughput requests per second based on informed number of routes MVC ORM templates SearchLight.jl Stipple reactive.
Calculator Julia DataFrames Throughput Rows Per Second
Estimates Julia DataFrames.jl data manipulation throughput rows per second based on informed complexity columnar paradigm concrete types performance superior to pandas.
Calculator Julia Plots Render Time ms
Estimates Julia Plots.jl Makie.jl PlotlyJS.jl rendering time based on informed number of points backends GR PyPlot Plotly approximate time milliseconds.
Calculator Reuma Adult AIR Quick Per Person
Estimates rapid diagnostic criteria for adult Rheumatoid Arthritis RA ACR EULAR 2010 score greater or equal 6 points based on informed joint event quantity early classification.
Calculator Reuma Adult AIR Chronic Per Person
Estimates established chronic Rheumatoid Arthritis RA criteria ACR 1987 still used DAS28 disease activity CDAI SDAI based on informed inflamed joints quantity.
Calculator Reuma Adult Methotrexate Dose Per Person
Estimates adult weekly methotrexate MTX DMARD first line dose adult RA PsA psoriasis JIA based on informed adult weight oral subcutaneous peak dose 25 mg/week supplemental folic acid.
Calculator Reuma Adult Leflunomide Dose Per Person
Estimates adult leflunomide Arava DMARD dose RA PsA MTX alternative based on adult patient loading maintenance dose hepatic monitoring long half-life cholestyramine washout.
Calculator Reuma Adult Hydroxychloroquine Dose Per Person
Estimates adult hydroxychloroquine HCQ Plaquenil DMARD dose RA SLE sjogren based on informed adult weight limit 5 mg/kg/day real weight prevent retinopathy annual ophthalmologic exam.
Calculator Reuma Adult Sulfasalazine Dose Per Person
Estimates adult sulfasalazine SSZ Azulfidine DMARD dose RA AS enthesitis MTX HCQ combination triple therapy based on adult escalated maintenance dose maximum 3 g/day.
Calculator Reuma Adult Tocilizumab Dose mg Per Person
Estimates adult tocilizumab Actemra anti-IL6 monoclonal antibody intravenous subcutaneous dose RA GCA giant cell arteritis based on informed weight IV 8 mg/kg/month SC 162 mg/week.
Calculator Reuma Adult Infliximab Dose mg Per Person Weight
Estimates adult infliximab Remicade anti-TNF monoclonal antibody intravenous dose RA AS Crohn based on informed weight induction maintenance dose 3 to 5 mg/kg weeks 0 2 6 then every 8 weeks.
Calculator Reuma Adult Rituximab Dose mg Per Person
Estimates adult rituximab Rituxan anti-CD20 monoclonal antibody intravenous dose RA SLE vasculitis based on adult patient standard dose 1000 mg two infusions 2 weeks recycling 6 months.
Calculator Reuma Adult Abatacept Dose mg Per Person
Estimates adult abatacept Orencia CTLA4 fusion protein costimulation intravenous subcutaneous dose RA PsA psoriasis based on informed weight IV weight based SC 125 mg/week fixed dose.
Calculator Reuma Adult Tofacitinib Dose mg Per Person Day
Estimates adult tofacitinib Xeljanz JAK1 JAK3 inhibitor oral dose RA PsA UC based on adult standard dose 5 mg 2x/day or 11 mg XR 1x/day caution thrombosis cardiovascular risk.
Calculator Bobotie South African Recipe Per Person
Estimates ingredient quantities for South African Bobotie recipe (spiced ground meat curry raisins almonds egg custard topping South African national dish) per informed number of people.
Calculator Bunny Chow South African Recipe Per Person
Estimates ingredient quantities for South African Bunny Chow recipe (hollowed white bread filled with lamb chicken or vegetarian curry Durban Indian South African street food) per informed number of people.
Calculator Biltong South African Recipe Per Person
Estimates ingredient quantities for South African Biltong recipe (dried cured meat vinegar coriander spices thin cuts traditional South African snack) per informed number of people.
Calculator Pap South African Recipe Per Person
Estimates ingredient quantities for South African Pap recipe (firm white maize meal porridge meat stew accompaniment daily staple South Africa) per informed number of people.
Calculator Chakalaka South African Recipe Per Person
Estimates ingredient quantities for South African Chakalaka recipe (spicy tomato carrot bean curry relish braai pap accompaniment South Africa) per informed number of people.
Calculator Malva Pudding South African Recipe Per Person
Estimates ingredient quantities for South African Malva Pudding recipe (warm spongy pudding apricot jam hot cream sauce Dutch Cape origin dessert) per informed number of people.
Calculator Koeksister South African Recipe Per Person
Estimates ingredient quantities for South African Koeksister recipe (twisted fried dough dipped in cold sweet syrup afrikaner cape malay) per informed number of people.
Calculator Melktert South African Recipe Per Person
Estimates ingredient quantities for South African Melktert recipe (creamy milk tart thin crust sprinkled cinnamon afrikaner Cape dessert) per informed number of people.
Calculator Vetkoek South African Recipe Per Person
Estimates ingredient quantities for South African Vetkoek recipe (fried dough stuffed with ground beef jam or cheese traditional South African snack) per informed number of people.
Calculator Snoek South African Recipe Per Person
Estimates ingredient quantities for South African Snoek recipe (smoked fish grilled with apricot ginger glaze Western Cape South African tradition) per informed number of people.
Calculator Potjiekos South African Recipe Per Person
Estimates ingredient quantities for South African Potjiekos recipe (three-legged iron pot stew slow cooked layered meat vegetables South African Afrikaans tradition) per informed number of people.
Calculator Rooibos South African Recipe Per Person
Estimates ingredient quantities for South African Rooibos recipe (red bush herbal tea Aspalathus linearis Cederberg caffeine free antioxidant South Africa) per informed number of people.
Calculator Amarula South African Recipe Per Person
Estimates ingredient quantities for South African Amarula recipe (marula cream liqueur African fruit creamy cocktail dessert South Africa) per informed number of people.
Calculator Racing Arcade Mario Kart Time to Complete Cup
Estimates total time to complete a Mario Kart cup Nintendo kart racing series 4 tracks grand prix 150cc 200cc split-screen multiplayer based on informed number of cups.
Calculator Racing Arcade Crash Team Racing Time
Estimates time to complete Crash Team Racing CTR Naughty Dog PS1 kart racing 16 tracks adventure mode boss challenges collectibles based on informed number of stages.
Calculator Racing Arcade Sonic Racing Time
Estimates time to complete Sonic All Stars Racing Transformed Sega kart racing 30 tracks land water air grand prix world tour multiplayer based on informed cups.
Calculator Racing Arcade Out Run Time to Complete Routes
Estimates time to complete Out Run Sega 1986 arcade Ferrari Testarossa convertible 5 branching routes 15 endings cross-country America Europe Yu Suzuki based on informed routes.
Calculator Racing Arcade Virtua Racing Time to Complete
Estimates time to complete Virtua Racing Sega 1992 arcade first 3D F1 polygonal Model 1 hardware 3 tracks Big Forest Bay Bridge Acropolis based on informed runs.
Calculator Racing Arcade Daytona Time to Complete
Estimates time to complete Daytona USA Sega Model 2 1994 arcade stock car racing 3 tracks Three-Seven Speedway Dinosaur Canyon Sea-Side Street Galaxy based on informed runs.
Calculator Racing Arcade Sega Rally Time to Complete
Estimates time to complete Sega Rally Championship Sega Model 2 1995 arcade rally racing 4 tracks Desert Forest Mountain Lakeside Toyota Celica Lancia based on informed runs.
Calculator Racing Arcade Cruisn USA Time to Complete
Estimates time to complete Cruisn USA Midway 1994 arcade racing 14 tracks coast to coast San Francisco Washington DC licensed cars Eugene Jarvis based on informed tracks.
Calculator Racing Arcade Burnout Paradise Time
Estimates time to complete Burnout Paradise Criterion Games EA 2008 racing open world Paradise City 75 cars junkyard burning routes based on informed events.
Calculator Racing Arcade Need for Speed Underground Time
Estimates time to complete Need for Speed Underground EA 2003 racing tuner street racing 111 career events drift drag based on informed events.
Calculator Racing Arcade Need for Speed Most Wanted Time
Estimates time to complete Need for Speed Most Wanted EA 2005 racing police chase blacklist 15 rivals Rockport career based on informed defeated rivals.
Calculator Racing Arcade Trackmania United Time
Estimates time to complete Trackmania United Forever Nadeo 2008 racing puzzle 7 environments platform stunt 420 solo campaign based on informed medals.
Calculator Racing Arcade Blur Time to Complete
Estimates time to complete Blur Bizarre Creations Activision 2010 racing arcade combat powerups 50 licensed cars worldwide tracks 20 player multiplayer based on informed events.
Calculator Elm Startup Time per App MB
Estimates Elm app startup time (purely functional language compiled to JavaScript The Elm Architecture TEA frontend) based on informed MB compiled bundle size.
Calculator Elm Throughput Renders per Second
Estimates Elm virtual DOM renders per second throughput (TEA architecture immutable reactive) based on informed view complexity in thousand nodes.
Calculator Elm Bundle Size MB per Deps
Estimates Elm application bundle size in MB based on informed number of elm/* packages (aggressive dead code elimination in Elm compiler).
Calculator Elm Architecture Messages Throughput
Estimates messages per second throughput in Elm TEA architecture (Model Update View) based on informed update function complexity.
Calculator PureScript Startup Time per App MB
Estimates PureScript app startup time (purely functional strongly typed Haskell-inspired language compiled to JavaScript) based on informed bundle MB size.
Calculator PureScript Throughput RPS per Routes
Estimates PureScript HTTPure or Node server requests per second throughput based on informed number of routes.
Calculator PureScript Bundle Size MB per Deps
Estimates PureScript bundle MB size based on informed number of Spago/Bower packages (Halogen Aff Argonaut Effect).
Calculator PureScript Pulp Build Time
Estimates PureScript Pulp or Spago build time based on informed number of .purs files (modules with type checking).
Calculator ReScript Startup Time per Project MB
Estimates ReScript app startup time (BuckleScript Reason ML successor compiled to readable JavaScript) based on informed bundle MB size.
Calculator ReScript Bundle Size MB per Deps
Estimates ReScript bundle MB size based on informed number of Belt ReScript React rescript-webapi deps (zero runtime, direct JS output).
Calculator F# Fable Bundle Size MB
Estimates F# Fable bundle MB size (F# to JavaScript compiler .NET Fable.Elmish React) based on informed number of modules.
Calculator F# Fable Throughput RPS
Estimates F# Fable RPS throughput (server side with Saturn Giraffe or compiled to JS) based on informed endpoint complexity.
Calculator Neonatal Advanced Mechanical Ventilator FiO2 per Person Weight
Estimates mechanical ventilation parameters and FiO2 for NICU neonate based on informed weight (PIP PEEP RR Ti FiO2 saturation targets 88-95 percent preemies).
Calculator Neonatal Advanced Jet Ventilation per Person Weight
Estimates high-frequency jet ventilation HFJV parameters for neonate based on informed weight (frequency 240-660 jets PIP PEEP Ti 0.02 s SIM).
Calculator Neonatal Advanced CPAP per Person Weight
Estimates n-CPAP parameters for newborn in delivery room and NICU based on informed weight (pressure 5-8 cmH2O flow 6-10 L/min FiO2 0.21-0.40).
Calculator Neonatal Advanced Surfactant per Person Weight Dose
Estimates exogenous surfactant dose (Beractant Survanta Poractant Curosurf) for premature RDS HMD based on informed weight 100-200 mg/kg intratracheal.
Calculator Neonatal Advanced BiPAP per Person Weight
Estimates nasal BiPAP NIV-NAVA SiPAP parameters for neonate based on informed weight (PEEP 5 PIP 8-10 RR 20-40 ipm FiO2 0.21-0.40 alternative to intubation).
Calculator Neonatal Advanced HFO per Person Weight
Estimates HFOV high-frequency oscillatory ventilation parameters for neonate based on informed weight (MAP frequency Hz amplitude DeltaP indicated severe RDS pulmonary hypertension).
Calculator Neonatal Advanced Extracorporeal ECMO per Person
Estimates neonatal ECMO criteria and parameters (extracorporeal membrane oxygenation ELSO indications cardiorespiratory failure RDS meconium diaphragmatic hernia) per patient.
Calculator Neonatal Advanced Parenteral Nutrition per Person Weight
Estimates total parenteral nutrition TPN volume and composition for neonate based on informed weight (glucose amino acids lipids electrolytes vitamins trace progression per DOL).
Calculator Neonatal Advanced Phototherapy per Person Bilirubin
Estimates neonatal phototherapy thresholds based on informed total bilirubin (mg/dL age in hours and risk factors Bhutani AAP 2022 curves hyperbilirubinemia).
Calculator Neonatal Advanced Therapeutic Hypothermia per Person
Estimates neonatal therapeutic hypothermia protocol for hypoxic-ischemic encephalopathy HIE per patient (target temperature 33.5 degrees C 72 h initiated within first 6 h).
Calculator Neonatal Advanced Patency Ductus Arteriosus
Estimates indomethacin ibuprofen or paracetamol dose for patent ductus arteriosus PDA closure in neonate based on informed weight and postnatal age.
Calculator Neonatal Advanced Time Hospital ICU per Person Weight
Estimates mean NICU hospitalization time based on informed birth weight (extremely low birth weight under 1000 g very low under 1500 g low under 2500 g).
Calculator Israeli Couscous Recipe Per Person
Estimates ingredient quantities for Israeli couscous ptitim (toasted pearl pasta with onion and broth modern Israeli cuisine) per informed number of people.
Calculator Jachnun Israeli Recipe Per Person
Estimates ingredient quantities for Jachnun (Yemeni-Jewish slow-baked overnight dough roll served with boiled egg and zhug Israeli cuisine of Yemeni origin) per informed person.
Calculator Malawah Israeli Recipe Per Person
Estimates ingredient quantities for Malawah (Yemeni-Israeli flaky pancake served with honey or grated tomato modern Israeli cuisine) per informed person.
Calculator Mufleta Israeli Recipe Per Person
Estimates ingredient quantities for Mufleta (Moroccan-Israeli thin pancake traditional of Mimouna served with honey and butter Israeli cuisine) per informed person.
Calculator Kubaneh Israeli Recipe Per Person
Estimates ingredient quantities for Kubaneh (Yemeni-Israeli butter-rich bread baked in round pan overnight Israeli cuisine of Yemeni origin) per informed person.
Calculator Kishke Israeli Recipe Per Person
Estimates ingredient quantities for Kishke (Ashkenazi vegetarian stuffing of matzo flour onion and fat Israeli cuisine of Ashkenazi origin) per informed person.
Calculator Kreplach Israeli Recipe Per Person
Estimates ingredient quantities for Kreplach (filled dough with ground meat typical in chicken soup shabat and holidays Israeli cuisine of Ashkenazi origin) per informed person.
Calculator Knaidlach Israeli Recipe Per Person
Estimates ingredient quantities for Knaidlach matzo balls (matzo meal balls for chicken soup typical Passover Israeli cuisine of Ashkenazi origin) per informed person.
Calculator Cholent Israeli Recipe Per Person
Estimates ingredient quantities for Cholent hamin (slow-cooked stew of meat beans barley and potato for shabat lunch Israeli cuisine of Ashkenazi origin) per informed person.
Calculator Rugelach Israeli Recipe Per Person Quantity
Estimates ingredient quantities for Rugelach (rolled cookie of cream cheese or flaky dough filled with chocolate cinnamon or jam Israeli cuisine of Ashkenazi origin) per informed person.
Calculator Halva Israeli Recipe Per Person
Estimates ingredient quantities for Halva (dense candy of tahini sesame and sugar with pistachio or cocoa modern Israeli and Middle Eastern cuisine) per informed person.
Calculator Tahini Israeli Recipe Per Person Quantity
Estimates ingredient quantities for tahini sauce (sesame paste with water lemon juice garlic and salt base of hummus shawarma and salads modern Israeli cuisine) per informed person.
Calculator Arak Israeli Drink Per Person
Estimates serving quantities for Arak (traditional anise-flavored distillate from the Middle East served with water and ice turning white ouzo effect Israeli cuisine) per informed person.
Calculator Stealth Metal Gear Solid Time to Complete
Estimates average time to complete Metal Gear Solid (1998 PS1 Shadow Moses classic stealth game directed by Hideo Kojima) per informed number of playthroughs.
Calculator Stealth MGS 2 Time to Complete
Estimates average time to complete Metal Gear Solid 2 Sons of Liberty (2001 PS2 Big Shell tanker prologue Raiden protagonist post-modern stealth game) per informed number of playthroughs.
Calculator Stealth MGS 3 Time to Complete
Estimates average time to complete Metal Gear Solid 3 Snake Eater (2004 PS2 Soviet jungle Naked Snake Big Boss origin survival stealth camouflage CQC) per informed number of playthroughs.
Calculator Stealth MGS 4 Time to Complete
Estimates average time to complete Metal Gear Solid 4 Guns of the Patriots (2008 PS3 Old Snake war economy Liquid Ocelot saga conclusion stealth game Octocamo) per informed number of playthroughs.
Calculator Stealth MGS 5 Time to Complete
Estimates average time to complete Metal Gear Solid V The Phantom Pain (2015 PS4 Afghanistan Africa Venom Snake Diamond Dogs open world FOX Engine tactical stealth open world) per informed number of playthroughs.
Calculator Stealth Splinter Cell Time to Complete
Estimates average time to complete Tom Clancy Splinter Cell original (2002 Sam Fisher Third Echelon NSA night vision tactical stealth game in shadows) per informed number of playthroughs.
Calculator Stealth Splinter Cell Blacklist Time
Estimates average time to complete Splinter Cell Blacklist (2013 Sam Fisher Fourth Echelon Paladin three styles ghost panther assault hybrid tactical stealth game) per informed number of playthroughs.
Calculator Stealth Hitman Time to Complete per Games
Estimates average time to complete games in the Hitman franchise (Agent 47 ICA contracts disguises silent elimination social stealth by IO Interactive) per informed number of games.
Calculator Stealth Thief Time to Complete per Games
Estimates average time to complete games in the Thief franchise (Garrett thief first-person stealth shadows light sound pioneering Looking Glass Studios) per informed number of games.
Calculator Stealth Dishonored Time to Complete per Games
Estimates average time to complete games in the Dishonored franchise (Corvo Emily Outsider powers blink possess high low chaos steampunk immersion Arkane Studios) per informed number of games.
Calculator Stealth Deus Ex Time to Complete per Games
Estimates average time to complete games in the Deus Ex franchise (JC Denton Adam Jensen augmentation cyberpunk immersive sim lethal choices Ion Storm Eidos Montreal) per informed number of games.
Calculator Stealth Styx Time to Complete per Games
Estimates average time to complete games in the Styx Master of Shadows Shards of Darkness franchise (goblin green thief pure third-person stealth Cyanide Studio) per informed number of games.
Calculator Stealth Mark of the Ninja Time to Complete
Estimates average time to complete Mark of the Ninja (2012 stealth 2D side-scrolling Klei Entertainment ninja-clear shadow sound visualized peak of the genre) per informed number of playthroughs.
Calculator R Package Load Time MS
Estimates R package load time via library require in milliseconds per informed number of packages (tidyverse data.table ggplot2 Bioconductor).
Calculator R Renv Restore Project Time
Estimates renv restore time to reproduce lockfile in R project per informed number of packages (download compile install CRAN GitHub Bioconductor dependencies).
Calculator R Targets Pipeline Time
Estimates R targets pipeline execution time _targets.R per informed number of targets (tar_make tar_visnetwork DAG cache hash invalidation).
Calculator MATLAB Startup Project Time
Estimates MATLAB initialization time with path addpath toolbox loading per informed project MB (Image Processing Statistics Signal Processing Toolbox).
Calculator MATLAB Throughput Vectorized Ops Per Second
Estimates MATLAB vectorized operations throughput in mega operations per second per informed entry (MKL BLAS vectorization JIT runtime LAPACK array).
Calculator MATLAB Simulink Simulation Time
Estimates MATLAB Simulink simulation execution time per informed simulated seconds (fixed step ode45 control models Stateflow signal blockset).
Calculator Octave Startup Project Time
Estimates GNU Octave initialization time with pkg load addpath per informed project MB (signal control image io statistics).
Calculator Octave Throughput Vectorized Ops Per Second
Estimates GNU Octave vectorized operations throughput in mega operations per second per informed entry (BLAS OpenBLAS lapack-reference ATLAS comparative MATLAB).
Calculator Stata Throughput Rows Per Second
Estimates throughput in million rows per second for Stata operations per informed entry (generate replace egen by sort merge dataset .dta).
Calculator SAS Throughput Rows Per Second
Estimates throughput in million rows per second for SAS operations per informed entry (DATA step PROC SQL PROC MEANS PROC SORT BY group merge).
Calculator SPSS Throughput Rows Per Second
Estimates throughput in million rows per second for SPSS operations per informed entry (COMPUTE RECODE AGGREGATE SORT MATCH FILES SAVE PROC).
Calculator Jamovi Throughput Rows Per Second
Estimates throughput in million rows per second for Jamovi operations per informed entry (descriptive analysis regression ANOVA chi-square based on R behind the scenes).
Calculator Endo Adrenal Cortisol Per Person Range
Estimates interpretation of morning 8 AM serum cortisol in mcg per dL per informed value (adrenal insufficiency Cushing syndrome dexamethasone suppression test).
Calculator Endo Adrenal Aldosterone Per Person Range
Estimates interpretation of plasma aldosterone in ng per dL per informed value (primary hyperaldosteronism screening aldo renin ratio ARR Conn).
Calculator Endo Adrenal ACTH Per Person Range
Estimates interpretation of plasma ACTH in pg per mL per informed value (differentiate ACTH-dependent or independent Cushing primary versus secondary Addison).
Calculator Endo Adrenal Renin Per Person Range
Estimates interpretation of plasma renin activity in ng per mL per h per informed value (primary hyperaldosteronism ARR ratio postural position).
Calculator Endo Adrenal Dose Hydrocortisone MG Per Person
Estimates hydrocortisone dose in mg for chronic adrenal insufficiency and adrenal crisis per informed weight (physiologic replacement stress dose IV emergency).
Calculator Endo Adrenal Dose Prednisone MG Per Person
Estimates prednisone dose in mg for chronic adrenal replacement and autoimmune diseases per informed weight (potency 4x hydrocortisone single morning dose).
Calculator Endo Adrenal Dose Fludrocortisone MCG Per Person
Estimates fludrocortisone dose in mcg for mineralocorticoid replacement in Addison congenital adrenal hyperplasia per informed weight (acetate 9-alpha-fluoro-cortisol).
Calculator Endo Adrenal Dose Dexamethasone MG Per Person
Estimates dexamethasone dose in mg for suppression tests and clinical indications per informed weight (Cushing screening antiemetic cerebral edema fetal lung).
Calculator Endo Adrenal Dose Metyrapone MG Per Person
Estimates metyrapone dose in mg for Cushing syndrome treatment and adrenal function test per informed weight (11-beta-hydroxylase inhibitor).
Calculator Endo Adrenal Dose Ketoconazole MG Per Person
Estimates ketoconazole dose in mg for Cushing syndrome treatment per informed weight (multiple steroidogenesis inhibitor antifungal off-label).
Calculator Endo Adrenal Dose Mitotane G Per Person Day
Estimates mitotane dose in g per day for adrenocortical carcinoma and severe Cushing treatment per informed weight (adrenolytic o,p-DDD serum level 14 to 20 mg/L).
Calculator Endo Adrenal Time Screening Pheochromocytoma Years
Estimates screening interval for pheochromocytoma in years per informed genetically associated syndrome (NEM2 VHL NF1 paraganglioma sporadic plasma metanephrines).
Calculator Recipe Jebena Buna Ethiopian Per Person
Estimates ingredient quantities and time for Jebena Buna (traditional Ethiopian coffee ceremony with jebena clay pot three rounds abol tona baraka green coffee roasted ground on the spot) per informed person.
Calculator Recipe Bunna Tetu Ethiopian Per Person
Estimates ingredient quantities for Bunna Tetu (Ethiopian coffee made by slowly chewing the green beans one by one rural traditional custom) per informed person.
Calculator Recipe Tella Ethiopian Drink Per Person
Estimates ingredient quantities for Tella (traditional Ethiopian fermented beer of barley gesho rhamnus prinoides corn or wheat festive drink) per informed person.
Calculator Recipe Tej Ethiopian Honey Per Person
Estimates ingredient quantities for Tej (Ethiopian honey mead fermented from honey water and gesho served in berele flask national alcoholic drink) per informed person.
Calculator Recipe Ambasha Ethiopian Per Person
Estimates ingredient quantities for Ambasha (round Ethiopian-Eritrean bread enriched with spices seeds festive Buhe day) per informed person.
Calculator Recipe Kitfo Leb Leb Per Person
Estimates ingredient quantities for Kitfo Leb Leb (Ethiopian raw minced beef marinated with niter kibbeh mitmita and ayib cheese Gurage style) per informed person.
Calculator Recipe Yebeg Wat Ethiopian Per Person
Estimates ingredient quantities for Yebeg Wat (Ethiopian lamb stew with berbere niter kibbeh and caramelized onion long cook) per informed person.
Calculator Recipe Doro Tibs Ethiopian Per Person
Estimates ingredient quantities for Doro Tibs (Ethiopian chicken sauteed quickly in niter kibbeh with onion garlic ginger fresh awaze) per informed person.
Calculator Recipe Shiro Kik Ethiopian Per Person
Estimates ingredient quantities for Shiro Kik (Ethiopian creamy puree of chickpea or yellow pea flour with berbere spices fasting dish) per informed person.
Calculator Recipe Yataklete Kilkil Ethiopian Per Person
Estimates ingredient quantities for Yataklete Kilkil (Ethiopian vegetable mix potato carrot green bean sauteed in niter kibbeh and spices fasting dish) per informed person.
Calculator Recipe Tahini Ethiopian Per Person
Estimates ingredient quantities for Ethiopian tahini (selat senafich sesame paste with mustard spices used in azift sauce served with fish) per informed person.
Calculator Recipe Genfo Ethiopian Porridge Per Person Quantity
Estimates ingredient quantities for Genfo (thick Ethiopian porridge of roasted barley or wheat served with butter and berbere for nursing mothers and breakfast) per informed person.
Calculator Recipe Katikala Ethiopian Per Person Drink
Estimates ingredient quantities for Katikala (areke Ethiopian homemade distillate high proof of barley corn gesho traditional rural drink) per informed person.
Calculator Survive Conan Exiles Time to Complete Journeys
Estimates average time to complete Conan Exiles (Funcom 2018 open-world survival in Hyboria with building thralls pets dungeons Journey progression system) per informed number of journeys.
Calculator Survive ARK Time to Complete Bosses
Estimates average time to defeat bosses in ARK Survival Evolved (Studio Wildcard 2017 dinosaur survival tame Broodmother Megapithecus Dragon Overseer Ragnarok Aberration Extinction Genesis) per informed number of bosses.
Calculator Survive Rust Time to Complete Season
Estimates average time to complete a Rust season wipe (Facepunch 2018 PvP survival raid base building monuments Cargo Heli oilrig forced monthly wipe) per informed number of seasons.
Calculator Survive DayZ Time to Complete Season
Estimates average time to survive and complete personal goals in DayZ (Bohemia Interactive 2018 standalone Chernarus Livonia hardcore zombie survival without checkpoint) per informed number of seasons.
Calculator Survive 7 Days to Die Time to Complete Seasons Extras
Estimates average time to complete 7 Days to Die (The Fun Pimps 2013 alpha 21 Navezgane Random Gen zombie survival horde blood moon every 7 days) per informed number of seasons.
Calculator Survive The Forest Time to Complete Game
Estimates average time to complete The Forest (Endnight Games 2018 forest survival cannibals son Timmy cave Cobalt shelter explore 3 endings) per informed number of playthroughs.
Calculator Survive Sons of the Forest Time to Complete
Estimates average time to complete Sons of the Forest (Endnight Games 2024 The Forest sequel island survival companion Kelvin Virginia 3 endings investigate Edward Puffton) per informed number of playthroughs.
Calculator Survive Green Hell Time to Complete
Estimates average time to complete Green Hell (Creepy Jar 2019 Amazonia survival Yabahuaca tribe Jake Higgins wife Mia sanity infection parasite) per informed number of playthroughs.
Calculator Survive The Long Dark Time to Complete
Estimates average time to complete The Long Dark (Hinterland Studio 2017 Canadian winter survival Wintermute story episodes Mackenzie Astrid Tales from the Far Territory DLC) per informed number of playthroughs.
Calculator Survive Frostpunk Time to Complete Extras
Estimates average time to complete Frostpunk (11 bit studios 2018 city-state survival steampunk steam generator Winter The Last Autumn The Rifts On the Edge DLCs) per informed number of playthroughs.
Calculator Survive Don t Starve Time to Complete
Estimates average time to complete Don t Starve and Don t Starve Together (Klei Entertainment 2013 gothic cartoon survival Wilson Maxwell sanity hunger Reign of Giants Shipwrecked Hamlet) per informed number of playthroughs.
Calculator Survive Icarus Time to Complete Missions
Estimates average time to complete missions in Icarus (Rocketwerkz 2021 Dean Hall exoplanet colony survival timed dropship missions Olympus Styx Prometheus) per informed number of missions.
Calculator Survive Grounded Time to Complete
Estimates average time to complete Grounded (Obsidian Entertainment 2022 backyard miniature scale survival Honey I Shrunk the Kids insect BURGL bosses Wasp Queen Mantis) per informed number of playthroughs.
Calculator Erlang OTP Restart Supervisor Time
Estimates average Erlang OTP supervisor process restart time in microseconds per informed number of processes (one_for_one rest_for_one one_for_all simple_one_for_one strategies).
Calculator Erlang OTP Broadcast Messages Time
Estimates average broadcast message time in Erlang OTP cluster using gen_server abcast gproc syn in microseconds per informed nodes or processes.
Calculator Elixir LiveView Messages Throughput Per Second
Estimates Phoenix LiveView messages per second throughput via WebSocket Channels per informed number of connections (broadcast events send_update assign_async stream).
Calculator Elixir LiveView Render Time MS
Estimates average Phoenix LiveView server-side render time in milliseconds per informed number of assigns/components (HEEx templates Phoenix.Component diff engine).
Calculator Elixir LiveView Connection Overhead Bytes
Estimates overhead in bytes per Phoenix LiveView WebSocket Channel connection per informed number of connections (transport_pid socket struct PubSub subscription presence).
Calculator Elixir LiveView Form Throughput
Estimates Phoenix LiveView form validation and submission throughput per second per informed number of connections (Ecto changeset to_form phx-change phx-submit).
Calculator Elixir LiveView PubSub Throughput
Estimates Phoenix.PubSub broadcast subscribe throughput per second per informed number of subscribers (PG2 Redis_pubsub adapters cluster distributed).
Calculator Elixir LiveView Streams Throughput
Estimates Phoenix LiveView stream operations throughput per second per informed number of items (stream/3 stream_insert stream_delete stream_configure lazy).
Calculator Elixir LiveView Async Time MS
Estimates Phoenix LiveView async operations average time in milliseconds per informed number of tasks (assign_async start_async Task.Supervisor async streaming).
Calculator Elixir LiveView Component Render Time
Estimates Phoenix.Component and Phoenix.LiveComponent render time in milliseconds per informed number of components (function vs stateful slots attrs HEEx).
Calculator Elixir LiveView Hook Throughput
Estimates Phoenix LiveView JavaScript hooks throughput per second per informed number of hooks (mounted updated destroyed pushEvent handleEvent js_command).
Calculator Elixir LiveView Portal Throughput
Estimates Phoenix LiveView portals and teleports throughput per second per informed number of portals (live_render nested live components mountable LiveView root layouts).
Calculator Nephro Ped Height Per Person Creatinine Clearance
Estimates pediatric creatinine clearance in mL min 1.73 m2 per informed height (bedside Schwartz formula simplified 2009 k 0.413 modified Pediatric Renal Working Group).
Calculator Nephro Ped Schwartz Formula Per Person
Estimates pediatric GFR via classic Schwartz formula (1976) and bedside 2009 in mL min 1.73 m2 per informed height and creatinine (k constants by age preterm infant child).
Calculator Nephro Ped Counahan Barratt Formula Per Person
Estimates pediatric GFR via Counahan-Barratt formula in mL min 1.73 m2 per informed height and creatinine (1976 British formula alternative to Schwartz especially <13 years).
Calculator Nephro Ped Dose Furosemide MG Per Person Weight
Estimates furosemide (Lasix) dose in mg for children with edema renal insufficiency hypertension per informed weight (1 to 2 mg kg dose IV or PO max 6 mg kg day).
Calculator Nephro Ped Dose Hydrochlorothiazide MG Per Person
Estimates hydrochlorothiazide dose in mg for children with hypertension edema per informed weight (1 to 2 mg kg day PO max 50 mg day adults 100 mg day rare).
Calculator Nephro Ped Dose Spironolactone MG Per Person Weight
Estimates spironolactone dose in mg for children with hyperaldosteronism nephrotic syndrome hypertension per informed weight (1 to 3 mg kg day PO max 100 mg day pediatric).
Calculator Nephro Ped Dose Enalapril MG Per Person Weight
Estimates enalapril dose in mg for children with hypertension proteinuria per informed weight (0.08 to 0.6 mg kg day PO max 40 mg day pediatric use HTN proteinuria).
Calculator Nephro Ped Dose Losartan MG Per Person Weight
Estimates losartan dose in mg for children with hypertension proteinuria per informed weight (0.7 to 1.4 mg kg day PO max 100 mg day pediatric use HTN).
Calculator Nephro Ped Dose Amlodipine MG Per Person Weight
Estimates amlodipine dose in mg for children with hypertension per informed weight (0.1 to 0.6 mg kg day PO max 10 mg day pediatric use 6 to 17 years).
Calculator Nephro Ped Pediatric Blood Pressure Per Person
Estimates pediatric blood pressure percentile by age height sex per AAP 2017 table (P90 P95 P99 normal normal-high HTN stage 1 HTN stage 2).
Calculator Nephro Ped Proteinuria Per Person Range
Estimates pediatric proteinuria interpretation in mg m2 h per informed value (normal range significant nephrotic proteinuria protein creatinine ratio spot urine).
Calculator Nephro Ped Hematuria Per Person Range
Estimates pediatric hematuria interpretation in red blood cells per field per informed value (microscopic macroscopic glomerular non-glomerular cause by age).
Calculator Recipe Algerian Couscous Per Person
Estimates ingredient quantities for Algerian couscous (fine semolina hand rolled three steam steamings lamb meat vegetables chickpeas pumpkin carrot turnip national Friday dish) per informed person.
Calculator Recipe Algerian Chorba Frik Per Person
Estimates ingredient quantities for Chorba Frik (traditional Algerian Ramadan soup with frik green roasted wheat lamb tomato mint cilantro consumed at iftar breaking fast) per informed person.
Calculator Recipe Algerian Mloukhia Per Person
Estimates ingredient quantities for Algerian Mloukhia (jute leaves dried into powder long cooked with beef lamb meat olive oil dark green sauce served with tabouna bread) per informed person.
Calculator Recipe Algerian Merguez Per Person Quantity
Estimates ingredient quantities for Algerian Merguez (spicy sausage lamb beef harissa cumin garlic thin lamb casing grilled over coals served with baguette bread) per informed person.
Calculator Recipe Algerian Bourek Per Person Quantity
Estimates ingredient quantities for Algerian Bourek (thin dioul leaf rolled stuffed ground meat cheese egg potato fried in olive oil served at Ramadan iftar paired with chorba) per informed person.
Calculator Recipe Algerian Mhajeb Per Person
Estimates ingredient quantities for Algerian Mhajeb (stuffed folded pancake with tomato onion pepper kefta fine semolina cooked on griddle stretched by hand popular street food) per informed person.
Calculator Recipe Algerian Makroud Per Person
Estimates ingredient quantities for Algerian Makroud (fine semolina sweet stuffed with dates cinnamon paste fried dipped in honey orange blossom water served at eid weddings) per informed person.
Calculator Recipe Algerian Mesfouf Per Person
Estimates ingredient quantities for Algerian Mesfouf (simple sweet steamed couscous served with milk raisins almonds honey cinnamon breakfast snack Ramadan suhur) per informed person.
Calculator Recipe Algerian Mhalbi Per Person
Estimates ingredient quantities for Algerian Mhalbi (delicate rice flour milk cream flavored orange blossom water cinnamon sugar served cold small bowls pistachio almonds Ramadan dessert) per informed person.
Calculator Recipe Moroccan Chicken Tagine Per Person
Estimates ingredient quantities for Moroccan chicken tagine (chicken preserved lemon green olives cilantro saffron ginger cooked clay tagine pot slow fire traditional dish) per informed person.
Calculator Recipe Moroccan Lamb Tagine Per Person
Estimates ingredient quantities for Moroccan lamb tagine (lamb black prune almonds honey cinnamon caramelized onion ras el hanout sweet savory festive dish) per informed person.
Calculator Recipe Moroccan Fish Tagine Per Person
Estimates ingredient quantities for Moroccan fish tagine (grouper sea bass fish chermoula tomato pepper olives preserved lemon cilantro tagine Atlantic coast) per informed person.
Calculator Recipe Moroccan Mint Tea Per Person
Estimates ingredient quantities for Moroccan mint tea (atay benana Chinese gunpowder green tea fresh mint sugar refreshing served silver teapot tall glasses high pour foam) per informed person.
Calculator Puzzle Visual Myst Completion Time
Estimates average time to complete Myst (Cyan 1993 first-person visual puzzle enigmatic island books ages Sirrus Achenar mechanical steampunk slideshow point and click).
Calculator Puzzle Visual Riven Completion Time
Estimates average time to complete Riven (Cyan 1997 direct Myst sequel five D ni culture islands Gehn Catherine deep narrative environmental mechanical puzzles integrated to the world).
Calculator Puzzle Visual Uru Completion Time
Estimates average time to complete Uru Ages Beyond Myst (Cyan 2003 real-time 3D setting D ni underground culture Yeesha Cleft DRC online life post-collapse DRC journey).
Calculator Puzzle Visual 7th Guest Completion Time
Estimates average time to complete The 7th Guest (Trilobyte 1993 puzzle horror FMV Stauf mansion first interactive movie CD-ROM full motion video live actor filmed scenes).
Calculator Puzzle Visual 11th Hour Completion Time
Estimates average time to complete The 11th Hour (Trilobyte 1995 direct 7th Guest sequel Stauf mansion returns FMV real actors puzzles videos atmospheric environment gothic horror).
Calculator Puzzle Visual Monkey Island Completion Time
Estimates average time to complete The Secret of Monkey Island (LucasArts 1990 Ron Gilbert point and click pirate adventure Guybrush Threepwood Caribbean Melee Monkey Island LeChuck SCUMM verb list).
Calculator Puzzle Visual Grim Fandango Completion Time
Estimates average time to complete Grim Fandango (LucasArts 1998 Tim Schafer Day of the Dead noir Mexican Manny Calavera 4-year journey Land of the Dead departed souls 3D environment).
Calculator Puzzle Visual Day Tentacle Completion Time
Estimates average time to complete Day of the Tentacle (LucasArts 1993 Tim Schafer Dave Grossman Maniac Mansion sequel Bernard Hoagie Laverne time travel Dr Fred cartoon animation).
Calculator Puzzle Visual Full Throttle Completion Time
Estimates average time to complete Full Throttle (LucasArts 1995 Tim Schafer Ben Throttle biker Polecats motorcycle club Corley Motors American desert cyberpunk post-apocalyptic noir adventure).
Calculator Puzzle Visual Broken Sword Completion Time
Estimates average time to complete Broken Sword Shadow of the Templars (Revolution Software 1996 Charles Cecil George Stobbart Nicole Collard Paris Templars Templar conspiracy Charlie Cecil).
Calculator Puzzle Visual Kings Quest Completion Time
Estimates average time to complete Kings Quest (Sierra On-Line Roberta Williams 1984 first graphic adventure game King Graham Daventry kingdom fairy tale puzzles parser text command parser).
Calculator Puzzle Visual Space Quest Completion Time
Estimates average time to complete Space Quest (Sierra On-Line Two Guys from Andromeda Mark Crowe Scott Murphy 1986 Roger Wilco janitor Xenon Sarien humorous space adventure parser).
Calculator Puzzle Visual Leisure Suit Larry Time
Estimates average time to complete Leisure Suit Larry (Sierra On-Line Al Lowe 1987 Larry Laffer 40-year-old virgin casino Las Vegas Lefty Bar flirting adult comedy mature humor text parser).
Calculator Solidity DeFi TVL Pool Per Person
Estimates DeFi pool TVL (Total Value Locked) per participant based on individual USD deposit and number of participants up to USD billion protocols Uniswap Aave Curve.
Calculator Solidity DeFi Fee Rate Per Person
Estimates DeFi fee rate (swap bps tax) per person in pool Uniswap V2 0.30% V3 tiers 0.05% 0.30% 1.00% USD return per informed monthly volume.
Calculator Solidity DeFi Impermanent Loss Formula
Estimates DeFi LP pool impermanent loss by classic formula IL = 2*sqrt(k)/(1+k) - 1 where k = final price / initial price 50/50 pool constant product Uniswap V2 SushiSwap.
Calculator Solidity ERC20 Deploy Gas ETH
Estimates standard ERC20 contract deploy cost in gas units (~1.2M gas) and in ETH valued by informed gwei gas price (calc multiplied 21k base 200 SSTORE 1M deployment).
Calculator Solidity ERC721 Deploy Gas ETH
Estimates standard ERC721 NFT contract deploy cost in gas units (~2.5M gas with metadata) and in ETH valued by informed gwei gas price deployment OpenZeppelin standard.
Calculator Solidity ERC1155 Deploy Gas ETH
Estimates standard ERC1155 multi-token contract deploy cost in gas units (~2.0M gas) and in ETH valued by informed gwei gas price fungible NFT mix tokens batch transfer.
Calculator Solidity NFT Mint Gas ETH Per Person
Estimates ERC721 or ERC721A NFT mint cost per person in ETH based on standard gas units (150k ERC721 50k ERC721A first 25k subsequent Azuki) and informed gwei gas price.
Calculator Solidity NFT Royalty Fee Formula
Estimates NFT royalty fee ERC2981 (EIP-2981) standard in bps (10000 = 100%) per informed sale price calculation creator royalty marketplace OpenSea Rarible support.
Calculator Solidity Uniswap V3 Tick Price Formula
Estimates price from Uniswap V3 tick by formula price = 1.0001^tick concentrated liquidity range tick spacing 60 200 NFT positions LP capital efficiency.
Calculator Solidity Aave Collateral Formula Per Person
Estimates Aave position Health Factor per person by formula HF = sum(collateral * LT) / sum(borrows) where LT is Liquidation Threshold below 1 liquidates ETH USDC WBTC.
Calculator Solidity Curve StableSwap Formula
Estimates Curve Finance StableSwap invariant formula A * n^n * S + D = A * D * n^n + D^(n+1) / (n^n * P) where A amplification 100 and n tokens count 2 3 4 pool 3pool.
Calculator Solidity Flash Loan Fee Formula
Estimates DeFi Flash Loan fee Aave V3 0.05% (5 bps) Uniswap V3 0.05-1.00% per requested value collateral-free loan atomic transaction repay same block arbitrage liquidation.
Calculator Hemato Iron Deficiency Anemia Ferritin Per Person
Estimates serum ferritin interpretation for iron deficiency anemia diagnosis per informed person (ferritin less 15 ng mL iron deficiency 15-30 borderline 30-300 normal cutoff predictive value).
Calculator Hemato Megaloblastic Anemia Vit B12 Per Person
Estimates serum vitamin B12 interpretation for megaloblastic anemia diagnosis per person (B12 less 200 deficiency 200-300 grey zone 300-900 normal etiology neuro psychiatric).
Calculator Hemato Sickle Anemia HbS Percentage
Estimates HbS percentage interpretation in sickle anemia phenotypes HbSS HbSC HbSbeta thalassemia AS trait by electrophoresis HPLC high resolution chromatography.
Calculator Hemato Thalassemia HbF Percentage
Estimates fetal hemoglobin HbF percentage interpretation in beta thalassemia major intermedia minor alpha thalassemia diagnosis by HPLC electrophoresis chromatography.
Calculator Hemato AML Per Person Blasts Percentage
Estimates blasts percentage interpretation in bone marrow for acute myeloid leukemia AML diagnosis per WHO 2022 ICC 2022 classification 20% blasts cutoff.
Calculator Hemato CLL Per Person Lymphocytes mm3
Estimates absolute lymphocyte count interpretation for chronic lymphocytic leukemia CLL diagnosis iwCLL 2018 cutoff greater 5000 clonal CD5 CD19 CD23 ZAP70 RAI Binet.
Calculator Hemato Hodgkin Lymphoma Per Person Staging
Estimates Hodgkin lymphoma classical CHL or nodular lymphocyte predominance NLPHL staging by Lugano 2014 classification modified Ann Arbor Cotswolds A B X PET CT staging.
Calculator Hemato Non-Hodgkin Lymphoma Per Person Staging
Estimates Non-Hodgkin lymphoma NHL aggressive indolent DLBCL FL MZL MCL staging by Lugano 2014 classification IPI R-IPI FLIPI MIPI prognostic scores treatment.
Calculator Hemato Multiple Myeloma Per Person Criteria
Estimates multiple myeloma IMWG 2014 SLiM CRAB diagnostic criteria clonal plasma cells bone marrow monoclonal protein serum urinary M peak FreeLite light chain ratio.
Calculator Hemato Polycythemia Vera Per Person Criteria
Estimates WHO 2016 polycythemia vera PV diagnostic criteria Ph negative myeloproliferative neoplasm JAK2 V617F exon 12 elevated hemoglobin hematocrit low erythropoietin biopsy.
Calculator Hemato Essential Thrombocythemia Per Person Criteria
Estimates WHO 2016 essential thrombocythemia ET diagnostic criteria Ph negative myeloproliferative neoplasm platelets greater 450 JAK2 CALR MPL bone marrow biopsy megakaryocyte hyperplasia.
Calculator Hemato Thrombocytopenia Per Person Criteria
Estimates platelet count interpretation for thrombocytopenia diagnosis ITP TTP HUS HIT pregnancy drug-induced septic splenomegaly heparin vancomycin linezolid.
Calculator Recipe Egyptian Mahshi Per Person Quantity
Estimates ingredient quantities for Egyptian Mahshi (stuffed vegetables rice ground meat tomato onion garlic mint dill spices wrapped grape cabbage leaves) per informed person.
Calculator Recipe Egyptian Ful Medames Per Person Quantity
Estimates ingredient quantities for Egyptian Ful Medames (slow cooked fava beans olive oil lemon garlic cumin traditional street family breakfast) per informed person.
Calculator Recipe Egyptian Koshari Per Person Quantity
Estimates ingredient quantities for Egyptian Koshari (rice lentil pasta chickpea fried onion tomato pepper vinegar sauce national street dish) per informed person.
Calculator Recipe Egyptian Molokhia Per Person Quantity
Estimates ingredient quantities for Egyptian Molokhia (chopped jute leaves chicken rabbit broth garlic coriander white rice pharaonic national dish) per informed person.
Calculator Recipe Egyptian Fattah Per Person Quantity
Estimates ingredient quantities for Egyptian Fattah (toasted bread rice meat lamb tomato vinegar garlic sauce Eid al Adha celebration dish) per informed person.
Calculator Recipe Egyptian Feteer Meshaltet Per Person
Estimates ingredient quantities for Egyptian Feteer Meshaltet (thousand layer flatbread flour ghee paper leaves sweet savory pharaonic) per informed person.
Calculator Recipe Egyptian Konafa Per Person Quantity
Estimates ingredient quantities for Egyptian Konafa (kataifi shreds dough ghee butter milk cream nuts pistachio orange blossom syrup Ramadan dessert) per informed person.
Calculator Recipe Egyptian Umali Per Person Quantity
Estimates ingredient quantities for Egyptian Umali (puff pastry palmier nuts almond pistachio raisin milk sugar cinnamon warm bread pudding dessert) per informed person.
Calculator Recipe Egyptian Basbousa Per Person Quantity
Estimates ingredient quantities for Egyptian Basbousa (semolina coconut yogurt ghee sugar lemon syrup almond moist sweet cake) per informed person.
Calculator Recipe Egyptian Shai bel Nana Per Person
Estimates ingredient quantities for Egyptian Shai bel Nana (black tea fresh mint sugar traditional hot drink ahwa baladi cafes) per informed person.
Calculator Recipe Egyptian Sahlab Drink Per Person
Estimates ingredient quantities for Egyptian Sahlab (orchid powder milk sugar cinnamon coconut nuts almond pistachio raisin hot winter drink) per informed person.
Calculator Recipe Egyptian Karkadeh Drink Per Person
Estimates ingredient quantities for Egyptian Karkadeh (dried hibiscus flower sugar water red hot cold Ramadan refreshing antihypertensive drink) per informed person.
Calculator Recipe Egyptian Kahwa Per Person
Estimates ingredient quantities for Egyptian Kahwa (Turkish coffee fine powder cardamom water sugar mazbut sweet level traditional ahwa baladi drink) per informed person.
Calculator Atari 2600 Pac-Man Completion Time
Estimates average time to complete Pac-Man on Atari 2600 (1982 Tod Frye flickering sprite arcade port Atari rare worst controversial) considering player skill.
Calculator Atari 2600 Asteroids Score
Estimates typical Asteroids score on Atari 2600 (1981 Brad Stewart arcade port Lyle Rains three asteroid sizes vector bitmap conversion) per hours played.
Calculator Atari 2600 Defender Score
Estimates typical Defender score on Atari 2600 (1982 Bob Polaro Williams arcade port horizontal scroll humanoids aliens difficult) per hours played.
Calculator Atari 2600 Yars Revenge Score
Estimates typical Yars Revenge score on Atari 2600 (1982 Howard Scott Warshaw exclusive original space bug Qotile Neutral Zone TIA art) per hours played.
Calculator Atari 2600 River Raid Score
Estimates typical River Raid score on Atari 2600 (1982 Carol Shaw Activision river fuel bridges ships helicopters jet fly downstream) per hours played.
Calculator Atari 7800 Asteroids Score
Estimates typical Asteroids score on Atari 7800 (1987 improved arcade port MARIA chip 256 colors smooth rotation) per hours played.
Calculator Atari 7800 Centipede Score
Estimates typical Centipede score on Atari 7800 (1986 arcade port mushroom field centipede spider flea scorpion trackball mouse) per hours played.
Calculator Atari 7800 Pole Position Lap Time
Estimates lap time in Pole Position on Atari 7800 (1987 Namco arcade port qualifying Fuji Speedway F1 banner curves) per hours played.
Calculator Atari 7800 Dig Dug Score
Estimates typical Dig Dug score on Atari 7800 (1987 Namco arcade port Pooka Fygar dug earth rock air bomb) per hours played.
Calculator Atari 7800 Galaga Score
Estimates typical Galaga score on Atari 7800 (1987 Namco arcade port space shooter beetles formation capture dual fighter) per hours played.
Calculator Atari 7800 Joust Score
Estimates typical Joust score on Atari 7800 (1987 Williams arcade port buzzard knight ostrich eggs platforms lava troll) per hours played.
Calculator Atari 7800 Ms Pacman Score
Estimates typical Ms Pac-Man score on Atari 7800 (1987 Atari arcade port four mazes moving fruit cinematic wedding interludes) per hours played.
Calculator Atari 7800 Robotron Score
Estimates typical Robotron 2084 score on Atari 7800 (1986 Williams Eugene Jarvis arcade port two joysticks humans save grunts hulks brains spheroids) per hours played.
Calculator Bun Startup Time Project MB
Estimates Bun runtime startup time (Zig JavaScriptCore Apple Safari) considering project size in MB and number of imported modules.
Calculator Bun Throughput RPS Routes
Estimates requests per second in native Bun HTTP server (Bun.serve uWebSockets like) considering number of routes and CPU cores available.
Calculator Bun Test Throughput Tests Per Second
Estimates tests per second of bun test (Bun built-in runner Jest API compatible) considering quantity of tests and snapshot serialization.
Calculator Bun Bundle Time Project MB
Estimates bundling time of JavaScript TypeScript project with bun build (Bun native Zig bundler zero config) considering size in MB.
Calculator Deno Startup Time Project MB
Estimates Deno runtime startup time (Ryan Dahl V8 Rust capability-based security explicit permissions) considering project size and modules.
Calculator Deno Throughput RPS Routes
Estimates requests per second in native Deno HTTP server (Deno.serve using hyper Rust HTTP) considering routes and CPU cores.
Calculator Deno Test Throughput Tests Per Second
Estimates tests per second of deno test (Deno built-in test runner Jest like) considering quantity of tests and --parallel flag.
Calculator Deno Fresh Throughput RPS
Estimates requests per second in Fresh framework server (Deno SSR islands architecture Preact zero runtime JS by default) considering routes.
Calculator Deno Deploy Edge Throughput RPS
Estimates requests per second in Deno Deploy edge runtime (cf workers V8 isolates 35 regions globally) considering accessed regions and payload.
Calculator Bun Elysia Throughput RPS
Estimates requests per second in Elysia framework (Bun TypeScript end to end type safe inspired by Hono Express) considering registered routes.
Calculator Deno Oak Throughput RPS
Estimates requests per second in Oak framework (Deno middleware framework inspired by Koa cascading async) considering routes and middlewares.
Calculator Bun Hono Throughput RPS
Estimates requests per second in Hono framework (multi-runtime Bun Deno Node Cloudflare Workers ultrafast TypeScript) considering registered routes.
Calculator Gyneco IVF Success Rate Per Age
Estimates IVF (in vitro fertilization) success rate by age (ovarian reserve follicle AMH FSH antral count SART CDC prediction).
Calculator Gyneco IVF Injection Count Per Person
Estimates total injection count during IVF ovarian stimulation (gonadotropins antagonist trigger luteal phase) per protocol day.
Calculator Gyneco IVF FSH IU Dose Per Person
Estimates daily FSH dose (follicle stimulating hormone recombinant gonadotropin Gonal F Puregon Bemfola) in IVF by age weight AMH.
Calculator Gyneco IVF LH IU Dose Per Person
Estimates LH dose (luteinizing hormone) in IVF (Menopur hMG Pergoveris hLH recombinant) by age and ovarian reserve antagonist agonist protocol.
Calculator Gyneco IVF Progesterone mg Dose Per Person
Estimates progesterone luteal support dose post transfer IVF (Crinone Endometrin Utrogestan IM oily vaginal suppository) per treatment day.
Calculator Gyneco IVF Estradiol mg Dose Per Person
Estimates estradiol oral patch transdermal vaginal dose in IVF endometrial preparation frozen transfer (Estrace Climara Vivelle Femiplant).
Calculator Gyneco IVF hCG IU Dose Per Person
Estimates hCG dose (chorionic gonadotropin human Ovidrel Pregnyl Choriomon) IVF trigger final follicular maturation pre puncture.
Calculator Gyneco IVF GnRH mcg Dose Per Person
Estimates GnRH analog dose (agonists Lupron Decapeptyl antagonists Cetrotide Orgalutran) in IVF suppression protocols.
Calculator Gyneco IVF Embryo Transfer Count Per Person
Estimates ideal IVF embryo transfer count by age embryo quality blastocyst stage multiple pregnancy risk ASRM SBRA.
Calculator Gyneco IVF Embryo Cryopreservation Per Person
Estimates IVF embryo cryopreservation vitrification count survival rate after thaw frozen transfer implantation rate eSET.
Calculator Gyneco IVF Transfer Day Per Person
Estimates ideal IVF embryo transfer day (D3 cleavage 8 cells D5 blastocyst D6 expanded blastocyst) by embryo quality and quantity.
Calculator Gyneco IVF Budget Clinic Per Person Treatment
Estimates total IVF treatment budget Brazilian private clinic 2024 (full cycle medication lab embryology transfer post beta consultation).
Calculator Ottoman Turkish Pilaf Recipe Per Person
Estimates ingredients for Ottoman Turkish pilaf (baldo rice orzo butter chicken stock onion pepper salt pine nuts) per person Ottoman Empire pirinc pilavi.
Calculator Ottoman Turkish Doner Kebab Recipe Per Person
Estimates ingredients for Ottoman doner kebab (lamb veal beef sliced vertical spit pita bread salad) per person traditional Turkey.
Calculator Ottoman Turkish Iskender Kebab Recipe Per Person
Estimates ingredients for Ottoman Iskender kebab (doner lamb pide bread tomato sauce clarified butter yogurt) per person Bursa Iskenderoglu 1867.
Calculator Ottoman Turkish Adana Kebab Recipe Per Person
Estimates ingredients for Ottoman Adana kebab (lamb mince tail fat red pepper onion paprika parsley) per person traditional Turkey sirin.
Calculator Ottoman Baklava Recipe Per Person
Estimates ingredients for Ottoman baklava (filo dough butter nuts pistachio honey syrup rose water) per person Ottoman Empire Topkapi Sarayi tradition.
Calculator Ottoman Turkish Delight Recipe Per Person
Estimates ingredients for Ottoman lokum Turkish delight (sugar cornstarch water rose water pistachio nuts) per person Ottoman Empire Sultan Abdulhamid 1777 Bekir Efendi.
Calculator Ottoman Kunefe Recipe Per Person
Estimates ingredients for Ottoman kunefe (angel hair kadayif dil peynir cheese butter syrup pistachio) per person Antakya Hatay Turkey tradition.
Calculator Ottoman Palace Helva Recipe Per Person
Estimates ingredients for Ottoman saray helvasi palace halva (semolina flour butter sugar pine nuts orange flower water) per person Topkapi Sarayi sultan court.
Calculator Ottoman Imam Bayildi Recipe Per Person
Estimates ingredients for Ottoman imam bayildi (eggplant onion tomato garlic olive oil parsley pepper) per person legend imam fainted from pleasure Ottoman Empire.
Calculator Ottoman Karniyarik Recipe Per Person
Estimates ingredients for Ottoman karniyarik (split belly eggplant minced meat onion tomato pine nuts parsley) per person Ottoman Empire Turkey tradition.
Calculator Ottoman Manti Recipe Per Person
Estimates ingredients for Ottoman manti (Turkish ravioli dough lamb meat onion yogurt garlic thyme) per person Kayseri Turkey Anatolia region.
Calculator Ottoman Pide Recipe Per Person
Estimates ingredients for Ottoman pide (boat shaped flatbread cheese minced meat onion egg parsley) per person Turkey traditional Anatolia Black Sea.
Calculator Ottoman Cay Tea Recipe Per Person
Estimates ingredients for Ottoman cay tea (Turkish black tea Rize Black Sea sugar tulip glass caydanlik double kettle) per person Ottoman Empire tradition.
Calculator Firewatch Walking Simulator Time to Complete
Estimates time to complete Firewatch (Campo Santo 2016 walking simulator first person mystery forest Wyoming national park ranger).
Calculator Gone Home Walking Simulator Time to Complete
Estimates time to complete Gone Home (Fullbright 2013 walking simulator first person exploration house Portland 1995 Sam diary Kaitlin).
Calculator Dear Esther Walking Simulator Time to Complete
Estimates time to complete Dear Esther (The Chinese Room 2012 walking simulator first person Hebrides Scottish isle fragmented narrative).
Calculator Stanley Parable Walking Simulator Time to Complete
Estimates time to complete The Stanley Parable (Davey Wreden Galactic Cafe 2013 walking simulator meta narrative narrator Kevan Brighting Stanley office).
Calculator Everybodys Gone to the Rapture Walking Simulator Time
Estimates time to complete Everybodys Gone to the Rapture (The Chinese Room 2015 walking simulator Yaughton Shropshire England 1984 apocalyptic event).
Calculator The Vanishing of Ethan Carter Walking Simulator Time
Estimates time to complete The Vanishing of Ethan Carter (The Astronauts 2014 walking simulator first person detective Paul Prospero Red Creek Valley investigative).
Calculator What Remains of Edith Finch Walking Simulator Time to Complete
Estimates time to complete What Remains of Edith Finch (Giant Sparrow 2017 walking simulator narrative Finch family curse member deaths peculiar).
Calculator Tacoma Walking Simulator Time to Complete
Estimates time to complete Tacoma (Fullbright 2017 walking simulator space station Tacoma 2088 AR ghost replay technology Amy Ferrier).
Calculator The Witness Time to Complete
Estimates time to complete The Witness (Jonathan Blow Thekla 2016 puzzle walking exploration island 525 panels lines maze).
Calculator Myha Walking Simulator Time to Complete
Estimates time to complete Myha The Other Side of Sky (Joonas Pajunen 2017 puzzle walking exploration mountain Finland Nordic landscape).
Calculator Quern Undying Thoughts Time to Complete
Estimates time to complete Quern Undying Thoughts (Zadbox Entertainment 2016 puzzle walking exploration Myst inspired island mystery ancient).
Calculator Among the Sleep Walking Simulator Time
Estimates time to complete Among the Sleep (Krillbite Studio 2014 walking simulator first person baby horror Teddy bear house parents).
Calculator SOMA Walking Simulator Time to Complete
Estimates time to complete SOMA (Frictional Games 2015 walking simulator psychological horror sci-fi Pathos II underwater base Atlantica consciousness AI).
Calculator WASM Rust Build Time Per Project MB
Estimates WASM Rust compilation time (cargo wasm-pack wasm-bindgen wasm-opt release dev linker wasm32 unknown unknown emscripten) per project MB.
Calculator WASM Rust Bundle Size MB
Estimates WASM Rust bundle size (wasm-opt -Oz -O3 wasm-strip wee_alloc panic abort no std features) MB typical release.
Calculator WASM Rust Startup Time ms
Estimates WASM Rust startup time in browser Node (instantiation streaming compile module memory pages alloc) ms cold start hot.
Calculator WASM AssemblyScript Build Time Per Project MB
Estimates WASM AssemblyScript compilation time (asc binaryen optimize debug runtime stub minimal incremental) per project MB typical.
Calculator WASM AssemblyScript Bundle Size MB
Estimates WASM AssemblyScript bundle size (asc -O3 -Oz runtime stub minimal incremental shrink-level converge) MB typical release.
Calculator WASM AssemblyScript Startup Time ms
Estimates WASM AssemblyScript startup time in browser Node (instantiation compile memory pages alloc minimal runtime) ms cold start hot.
Calculator WASM C Emscripten Build Time Per Project MB
Estimates WASM C compilation time with Emscripten (emcc -O3 -Oz LLVM clang wasm-ld --closure SDL Box2D libcxx libcxxabi) per project MB.
Calculator WASM C Emscripten Bundle Size MB
Estimates WASM C Emscripten bundle size (emcc -O3 -Oz strip wasm-opt --closure ASYNCIFY libcxx) MB typical release.
Calculator WASM Go TinyGo Build Time Per Project MB
Estimates WASM Go compilation time with TinyGo (tinygo build target wasm wasi LLVM minimum runtime gc conservative leaking) per project MB.
Calculator WASM Go TinyGo Bundle Size MB
Estimates WASM Go TinyGo bundle size (tinygo build -opt z -no-debug minimum runtime gc conservative leaking precise) MB typical release.
Calculator WASM dotnet Blazor Build Time Per Project MB
Estimates WASM dotnet Blazor compilation time (dotnet publish AOT ahead time linker IL trimming tree shaking BlazorOptimizeIl) per project MB.
Calculator WASM dotnet Blazor Bundle Size MB
Estimates WASM dotnet Blazor bundle size (dotnet publish AOT linker tree shaking BlazorOptimizeIl gzip Brotli runtime corelib mono) MB.
Calculator Bariatric Bypass Recovery Time Months
Estimates Roux en Y gastric bypass (RYGB) recovery time months typical person complications post-op diet bariatric surgery.
Calculator Bariatric Sleeve Recovery Time Months
Estimates vertical sleeve gastrectomy (VSG) recovery time months typical person complications post-op bariatric surgery.
Calculator Bariatric Lap-Band Recovery Time Months
Estimates adjustable gastric band (LAGB Lap-Band) recovery time months typical person adjustments post-op bariatric surgery.
Calculator Bariatric Duodenal Switch Recovery Time Months
Estimates duodenal switch BPD-DS recovery time months typical person complications bariatric surgery SADI-S.
Calculator Bariatric Weight Loss Quantity Per BMI Person
Estimates post-bariatric surgery weight loss quantity by initial BMI percentage EWL EBWL TWL.
Calculator Bariatric Weight Loss Range Per Surgery Type Person
Estimates weight loss range per bariatric surgery type (bypass sleeve banda BPD-DS) person post-op kg months time.
Calculator Bariatric Vitamin B12 Quantity Per Person Post
Estimates vitamin B12 (cobalamin) post-bariatric surgery person daily (oral sublingual IM injection supplementation surgery type).
Calculator Bariatric Vitamin D Quantity Per Person Post
Estimates vitamin D (cholecalciferol) post-bariatric surgery person daily (IU oral injection supplementation surgery type osteoporosis).
Calculator Bariatric Iron Quantity Per Person Post
Estimates iron supplementation post-bariatric surgery person daily (oral IM IV anemia iron deficiency surgery type female male).
Calculator Bariatric Zinc Quantity Per Person Post
Estimates zinc post-bariatric surgery person daily (oral gluconate sulfate citrate supplementation surgery type malabsorption).
Calculator Bariatric Calcium Quantity Per Person Post
Estimates calcium elemental post-bariatric surgery person daily (oral citrate carbonate supplementation surgery type osteoporosis DEXA).
Calculator Bariatric Protein Quantity Per Person Post
Estimates protein post-bariatric surgery person daily (whey casein albumin supplementation surgery type lean mass loss).
Calculator Shawarma Lebanese Per Person Quantity
Estimates Lebanese shawarma ingredients per person (lamb chicken pita tahini garlic yogurt salad cucumber tomato red onion).
Calculator Lebanese Kafta Per Person Quantity
Estimates Lebanese kafta ingredients per person (ground lamb beef onion parsley mint Syrian spice skewer grilled).
Calculator Lebanese Knafeh Per Person Quantity
Estimates Lebanese knafeh ingredients per person (kataifi pastry nabulsi akkawi cheese syrup orange blossom pistachio butter).
Calculator Lebanese Saj Per Person Quantity
Estimates Lebanese saj bread ingredients per person (wheat flour water salt yeast olive oil convex saj griddle traditional village).
Calculator Lebanese Manakeesh Zaatar Per Person
Estimates Lebanese manakeesh zaatar ingredients per person (pita dough zaatar thyme sumac sesame olive oil breakfast traditional Beirut).
Calculator Lebanese Manakeesh Cheese Per Person
Estimates Lebanese cheese manakeesh ingredients per person (akkawi mozzarella cheese pita dough breakfast Beirut Arab pizza).
Calculator Lebanese Fatayer Per Person Quantity
Estimates Lebanese fatayer ingredients per person (spinach lamb onion pine nut sumac dough triangle open sfiha).
Calculator Lebanese Laffa Per Person
Estimates Lebanese laffa bread ingredients per person (flour water salt yeast thin dough taboon clay oven giant pita).
Calculator Arab Kanafeh Per Person
Estimates Arab kanafeh ingredients per person (kataifi dough semolina cheese syrup orange blossom rose water pistachio Oriental ceremony).
Calculator Lebanese Baba Ghanoush Per Person Quantity
Estimates Lebanese baba ghanoush ingredients per person (eggplant tahini garlic lemon olive oil cumin salt smoky pepper char-grilled).
Calculator Lebanese Mujadara Per Person
Estimates Lebanese mujadara ingredients per person (lentil rice caramelized onion olive oil cumin salt pepper rustic monk dish).
Calculator Lebanese Kafta Potato Per Person
Estimates Lebanese kafta potato ingredients per person (ground lamb beef potato onion tomato sauce baked family).
Calculator Lebanese Zaatar Mix Per Person
Estimates Lebanese zaatar mix ingredients per person (thyme sumac toasted sesame salt traditional village proportion).
Calculator Switch Mario Odyssey Time Complete Moons
Estimates time to complete Super Mario Odyssey (Nintendo Switch 2017 999 Power Moons 14 kingdoms Bowser Peach Cap Cappy).
Calculator Switch Mario Wonder Time Complete 100pct
Estimates time to complete Super Mario Bros Wonder (Nintendo Switch 2023 Wonder Seeds Wonder Flowers Flower Kingdom Bowser Jr).
Calculator Switch Zelda TotK Time Complete Type
Estimates time to complete The Legend of Zelda Tears of the Kingdom (Nintendo Switch 2023 Hyrule Sky Islands Depths Link Zelda Ganondorf).
Calculator Switch Zelda BotW Time Complete Type
Estimates time to complete The Legend of Zelda Breath of the Wild (Nintendo Switch 2017 Hyrule Calamity Ganon Link Sheikah Slate paraglider).
Calculator Switch Splatoon 3 Time Complete Rank
Estimates time to reach rank in Splatoon 3 (Nintendo Switch 2022 Inkopolis Splatsville Salmon Run Turf War Anarchy Battle rank S X).
Calculator Switch Animal Crossing New Horizons Time
Estimates time for Animal Crossing New Horizons (Nintendo Switch 2020 deserted island Tom Nook Inc bells Bell Tree mileage).
Calculator Switch Pikmin 4 Time Complete 100pct
Estimates time to complete Pikmin 4 (Nintendo Switch 2023 Olimar Oatchi Pikmin colors).
Calculator Switch Luigis Mansion 3 Time Complete
Estimates time to complete Luigis Mansion 3 (Nintendo Switch 2019 Last Resort Hotel Gooigi King Boo Poltergust G-00 Hellen Gravely).
Calculator Switch ARMS Time Complete Grand Prix
Estimates time for ARMS Grand Prix (Nintendo Switch 2017 extending arms fighting Spring Man Ribbon Girl Min Min).
Calculator Switch 1-2-Switch Time Complete
Estimates time for 1-2-Switch (Nintendo Switch 2017 party game launch title Joy-Con motion HD rumble multiplayer face-to-face).
Calculator Switch Ring Fit Adventure Time Complete
Estimates time to complete Ring Fit Adventure (Nintendo Switch 2019 fitness RPG Ring Con leg strap Dragaux 23 worlds exercise cardio).
Calculator Switch Mario Tennis Aces Time Complete
Estimates time for Mario Tennis Aces (Nintendo Switch 2018 tennis Mario Luigi Peach Bowser Wario Yoshi Adventure Mode boss Lucien).
Calculator Switch Mario Strikers Time Complete
Estimates time for Mario Strikers Battle League (Nintendo Switch 2022 arcade soccer Mario Luigi Peach Yoshi Donkey Kong Strike).
Calculator Svelte Startup Time Project MB
Estimates Svelte startup time (compiler cold start dev server HMR Vite Rollup bundle size project MB).
Calculator Svelte Throughput RPS Routes
Estimates Svelte SPA throughput (requests per second static bundle CDN no SSR Vite preview NGINX).
Calculator Svelte Bundle Size MB Deps
Estimates Svelte bundle size (compiler output zero runtime tree shaking Rollup Vite production minified gzipped Brotli).
Calculator SvelteKit Throughput RPS Routes
Estimates SvelteKit SSR throughput (load functions server endpoints adapter-node Vercel Cloudflare requests per second).
Calculator SolidJS Startup Time Project MB
Estimates SolidJS startup time (fine-grained reactivity Vite dev server cold start signals memos resources createEffect Solid).
Calculator SolidJS Throughput RPS Routes
Estimates SolidJS SPA throughput (signals reactivity benchmarks SolidJS RealWorld js-framework-benchmark requests per second).
Calculator SolidJS Bundle Size MB Deps
Estimates SolidJS bundle size (Vite build production tree shaking minified gzipped Brotli reactive primitives JSX).
Calculator Solid Start Throughput RPS
Estimates SolidStart SSR throughput (Vinxi server functions actions Cloudflare Vercel Netlify Node SolidJS meta framework routes).
Calculator Qwik Startup Time Project MB
Estimates Qwik startup time (resumability lazy execution Vite cold start serializer state DOM SSG SSR builder.io).
Calculator Qwik Throughput RPS Routes
Estimates Qwik throughput (resumability HTML static CDN edge server lazy hydration builder.io requests per second).
Calculator QwikCity Resumable Throughput RPS
Estimates QwikCity throughput (resumable meta framework Qwik routing loaders actions Cloudflare Vercel routes RPS).
Calculator Marko Throughput RPS Routes
Estimates Marko throughput (Marko 5 eBay streaming SSR partial hydration tags compiler-based JSX HTML-first routes RPS).
Calculator Obstetrics Estimated Due Date Naegele Formula
Estimates Due Date (EDD) using Naegele Formula (LMP last day menstruation + 7 days - 3 months + 1 year) obstetrics 40 weeks gestation.
Calculator Obstetrics Trimester Per Person Weeks
Estimates trimester by weeks (1st 0-13 weeks 2nd 14-27 weeks 3rd 28-40 weeks obstetrics gestational age GA).
Calculator Obstetrics Folic Acid Dose mcg Per Person
Estimates folic acid (folate vit B9) supplementation dose pregnant woman per person mcg/day prevention neural tube defects spina bifida.
Calculator Obstetrics Iron Dose mg Per Person Trimester
Estimates iron supplementation dose pregnant person mg/day trimester prophylaxis iron-deficiency anemia Hb hemoglobin 11g/dl pregnancy.
Calculator Obstetrics Calcium Dose mg Per Person Trimester
Estimates calcium dose pregnant person mg/day trimester prevention preeclampsia fetal bone development RDA 1000mg.
Calculator Obstetrics Vitamin D Dose IU Per Person
Estimates vitamin D supplementation dose pregnant person IU/day cholecalciferol prevention deficiency fetal rickets preeclampsia.
Calculator Obstetrics Iodine Dose mcg Per Person
Estimates iodine dose pregnant person mcg/day fetal neurological cognitive development thyroid T3 T4 cretinism WHO.
Calculator Obstetrics Omega 3 Dose mg Per Person
Estimates omega 3 DHA EPA supplementation dose pregnant person mg/day fetal brain retina development.
Calculator Obstetrics Weight Gain Trimester Per Person BMI
Estimates recommended weight gain pregnant per trimester per initial BMI (IOM Institute of Medicine 2009 kg).
Calculator Obstetrics Prenatal Visits Years Per Person
Estimates prenatal visits per pregnant person (Brazil Ministry of Health WHO minimum 6 ideal 10 obstetrician schedule pregnancy).
Calculator Obstetrics Doppler Flow Artery Per Person
Estimates Doppler flow parameters umbilical uterine middle cerebral artery pregnant per person IP IR S/D CPR IUGR diagnosis.
Calculator Obstetrics Fetal Heart Rate Per Person Weeks
Estimates fetal heart rate FHR bpm per gestational weeks (CTG cardiotocography auscultation Doppler obstetrics fetal well-being).
Calculator Ital Stew Rastafari Recipe Per Person Quantity
Estimates ingredients for Rastafari Ital Stew per person (root vegetables yam cassava pumpkin coconut salt-free meat-free rasta diet processed-free).
Calculator Ackee Saltfish Jamaican Recipe Per Person Quantity
Estimates ingredients for Jamaican Ackee and Saltfish national dish per person (ackee saltfish onion tomato scotch bonnet thyme oil breakfast).
Calculator Bammy Jamaican Recipe Per Person Quantity
Estimates ingredients for Jamaican Bammy cassava flatbread per person (grated cassava salt coconut fried traditional Taino Arawak indigenous influence).
Calculator Festival Jamaican Recipe Per Person
Estimates ingredients for Jamaican Festival sweet fried dumpling per person (cornmeal flour sugar yeast milk oil side jerk chicken).
Calculator Fried Dumpling Jamaican Recipe Per Person
Estimates ingredients for Jamaican Fried Dumpling johnny dumpling savory per person (wheat flour salt baking powder water oil fry breakfast traditional).
Calculator Johnnycake Jamaican Recipe Per Person
Estimates ingredients for Jamaican Johnnycake fried sweet bread per person (wheat flour butter sugar milk baking powder johnny journey cake slavery colonial).
Calculator Curry Chicken Jamaican Recipe Per Person
Estimates ingredients for Jamaican Curry Chicken per person (chicken Jamaican yellow curry onion garlic ginger scotch bonnet potato coconut milk Indian Caribbean).
Calculator Oxtail Stew Jamaican Recipe Per Person
Estimates ingredients for Jamaican Oxtail Stew per person (oxtail butter beans carrot onion thyme scotch bonnet slow cooking).
Calculator Mannish Water Jamaican Recipe Per Person
Estimates ingredients for Jamaican Mannish Water goat soup per person (goat yam green banana dumpling pipe escovitch aphrodisiac virility traditional).
Calculator Rasta Pasta Jamaican Recipe Per Person
Estimates ingredients for Jamaican Rasta Pasta per person (penne green yellow red bell peppers Rastafarian colors coconut milk jerk chicken parmesan Caribbean Italian fusion).
Calculator Callaloo Soup Jamaican Recipe Per Person
Estimates ingredients for Jamaican Callaloo Soup per person (callaloo amaranth taro yam coconut coconut milk onion garlic thyme ital vegan Rastafarian).
Calculator Jerk Pork Jamaican Recipe Per Person
Estimates ingredients for Jamaican Jerk Pork per person (pork scotch bonnet allspice ginger garlic green onion thyme boucan smoking marinade).
Calculator Rum Punch Jamaican Drink Recipe Per Person
Estimates ingredients for Jamaican Rum Punch cocktail drink per person (white dark rum pineapple orange lime juice grenadine nutmeg Angostura Caribbean party).
Calculator Shmup R-Type Time to Complete
Estimates time to complete R-Type classic shoot-em-up (Irem 1987 Force Bydo Empire 8 stages hard arcade 1cc 1 credit clear).
Calculator Shmup Gradius Time to Complete
Estimates time to complete Gradius classic shoot-em-up Konami (1985 Vic Viper Bacterion 7 stages power-up bar Options arcade 1cc).
Calculator Shmup Thunder Force Time to Complete
Estimates time to complete Thunder Force shoot-em-up Technosoft (Mega Drive horizontal multi-directional stages weapons CRAW IV V VI classic 16-bit).
Calculator Shmup DoDonPachi Time to Complete
Estimates time to complete DoDonPachi shoot-em-up Cave (1997 bullet hell danmaku 5 stages chain combo TLB Hibachi true last boss arcade 1cc).
Calculator Shmup Ikaruga Time to Complete
Estimates time to complete Ikaruga shoot-em-up Treasure (2001 Dreamcast polarity black white chain 3+ 5 stages arcade Naomi 1cc tate yoko).
Calculator Shmup Radiant Silvergun Time to Complete
Estimates time to complete Radiant Silvergun shoot-em-up Treasure (1998 Saturn arcade 7 weapons combination sword chain mythos sci-fi 1cc hard Japan only).
Calculator Shmup Mushihimesama Time to Complete
Estimates time to complete Mushihimesama Cave shoot-em-up (2004 bullet hell insect princess Reco Kiniro novel maniac ultra 5 stages 1cc arcade PS3 Steam).
Calculator Shmup Deathsmiles Time to Complete
Estimates time to complete Deathsmiles Cave shoot-em-up (2007 gothic loli horizontal bullet hell 6 stages selectable boss Bloody Jitterbug Halloween arcade 360).
Calculator Shmup Touhou Time to Complete Stages
Estimates time to complete Touhou shoot-em-up ZUN doujin (Embodiment of Scarlet Devil Imperishable Night Mountain of Faith bullet hell danmaku 6 stages spell card 1cc).
Calculator Shmup Raiden Time to Complete
Estimates time to complete Raiden shoot-em-up Seibu Kaihatsu (1990 vertical military 8 stages vulcan laser nuke bomb arcade 1cc Raiden II III IV V).
Calculator Shmup Gradius V Time to Complete
Estimates time to complete Gradius V shoot-em-up Konami Treasure (2004 PS2 Vic Viper Bacterion last classic entry 8 stages 1cc extreme difficulty homage).
Calculator Shmup Darius Burst Time to Complete
Estimates time to complete Darius Burst shoot-em-up Taito (2009 PSP arcade Chronicle Saviours fish boss zone alpha beta gamma route 1cc multi-screen).
Calculator Shmup Jamestown Time to Complete
Estimates time to complete Jamestown shoot-em-up Final Form Games (2011 indie steampunk Mars British co-op 4 players 5 stages judgement difficulty PC arcade).
Calculator Sentry Throughput Events Per Second Project
Estimates error events/sec throughput Sentry per project (errors transactions DSN rate-limit free 5k team 50k business plan ingestion observability).
Calculator Sentry Quotas Project Per Person Month
Estimates Sentry quotas per project/person/month (errors transactions attachments replays performance team business plan prices USD on-demand spend).
Calculator Sentry Replays Storage Time Years
Estimates Sentry Session Replays storage time in years (retention 30/90 days Business Team plan storage GB on-demand costs session sampling rate).
Calculator Sentry Tracing Throughput Spans Per Second
Estimates spans/sec throughput Sentry distributed tracing (transactions traces dynamic sampling p50 p95 p99 latency performance APM SDK).
Calculator Sentry Profiling Throughput Samples Per Second
Estimates Sentry profiling samples/sec throughput (CPU profiles flame graph continuous profiling SDK Node Python Ruby PHP Go performance bottleneck).
Calculator Datadog Throughput Metrics Per Second Project
Estimates metrics/sec throughput Datadog per project (custom metrics tags cardinality dogstatsd hosts containers infrastructure APM logs USD pricing).
Calculator Datadog Traces Throughput Spans Per Second
Estimates Datadog APM traces spans/sec throughput (trace ingestion analyzed indexed retention head-based tail-based sampling distributed tracing).
Calculator Datadog Logs Throughput Events Per Second
Estimates Datadog Log Management events/sec throughput (ingest index retention 7/15/30 days Live Tail USD GB pricing structured JSON pipelines).
Calculator New Relic Throughput Traces Spans Per Second
Estimates New Relic One APM traces spans/sec throughput (distributed tracing data ingest GB free 100GB pro USD pricing observability full-stack).
Calculator Rollbar Throughput Events Per Second Project
Estimates Rollbar error events/sec throughput per project (errors occurrences items Free 5k Essential Advanced Enterprise USD pricing rate limit deploy tracking).
Calculator Bugsnag Throughput Events Per Second Project
Estimates Bugsnag SmartBear error events/sec throughput per project (errors session tracking stability score Lite Std Enterprise USD pricing release health).
Calculator Airbrake Throughput Events Per Second Project
Estimates Airbrake error events/sec throughput per project (errors deploys performance monitoring Developer Team Enterprise USD pricing notifications Ruby Rails origin).
Calculator Geriatrics Internal Medicine Falls Per Person Years Risk
Estimates falls risk in elderly geriatrics internal medicine by age (Morse Fall Scale STRATIFY Timed Up Go TUG previous history frailty prevention).
Calculator Geriatrics Internal Medicine Osteoporosis Per Person Density
Estimates osteoporosis diagnosis bone mineral density BMD T-score Z-score WHO criteria DEXA scan spine femur elderly internal medicine geriatrics.
Calculator Geriatrics Internal Medicine Sarcopenia Per Person Muscle Mass
Estimates sarcopenia diagnosis muscle mass strength performance EWGSOP2 SARC-F handgrip dynamometry gait speed elderly internal medicine geriatrics.
Calculator Geriatrics Internal Medicine Frailty Per Person Criteria
Estimates frailty diagnosis Fried phenotype CFS Clinical Frailty Scale FRAIL elderly internal medicine geriatrics comprehensive geriatric assessment CGA.
Calculator Geriatrics Internal Medicine Polypharmacy Per Person Medications
Estimates polypharmacy diagnosis 5+ medications elderly Beers Criteria STOPP START deprescribing inappropriate prescribing internal medicine geriatrics.
Calculator Geriatrics Internal Medicine Urinary Incontinence Per Person Type
Estimates urinary incontinence type elderly stress urge mixed functional overflow internal medicine geriatrics DIAPPERS reversible causes.
Calculator Geriatrics Internal Medicine Dementia Per Person Criteria
Estimates dementia diagnosis DSM-5 NIA-AA Alzheimer vascular Lewy frontotemporal MMSE MoCA internal medicine geriatrics cognitive assessment.
Calculator Geriatrics Internal Medicine Delirium Per Person Criteria
Estimates delirium diagnosis CAM Confusion Assessment Method elderly hospitalized ICU internal medicine geriatrics precipitating factors prevention treatment.
Calculator Geriatrics Internal Medicine Geriatric Depression Per Person Score
Estimates geriatric depression diagnosis GDS Geriatric Depression Scale 15 items Yesavage Sheikh elderly internal medicine PHQ-9 BDI treatment SSRI.
Calculator Geriatrics Internal Medicine CGA Comprehensive Per Person
Estimates comprehensive geriatric assessment CGA multidimensional cognitive functional social nutritional internal medicine geriatrics.
Calculator Geriatrics Internal Medicine Katz ADL Per Person Score
Estimates basic activities of daily living ADL Katz index elderly internal medicine geriatrics bathing dressing toileting transferring continence feeding.
Calculator Geriatrics Internal Medicine Lawton IADL Per Person Score
Estimates instrumental activities of daily living IADL Lawton Brody elderly internal medicine geriatrics telephone shopping cooking housekeeping laundry transport medications finances.
Calculator Griot Classic Haitian Recipe Per Person Quantity
Estimates ingredients for classic Haitian Griot per person (pork marinated with sour orange lime garlic thyme fried served with fried plantains pikliz).
Calculator Soup Joumou Classic Haitian Recipe Per Person Quantity
Estimates ingredients for classic Haitian Soup Joumou (pumpkin soup symbol of independence 1804 served Jan 1 with beef pasta vegetables).
Calculator Poulet Creole Classic Haitian Recipe Per Person Quantity
Estimates ingredients for Haitian Poulet Creole (Creole chicken marinated in epis tomato Creole sauce served rice and beans kole).
Calculator Pikliz Classic Haitian Recipe Per Person Quantity
Estimates ingredients for Haitian Pikliz (spicy pickled cabbage carrot scotch bonnet vinegar relish served with griot fritay).
Calculator Akra Classic Haitian Recipe Per Person Quantity
Estimates ingredients for Haitian Akra (fried malanga taro root fritter with epis spices served as appetizer with pikliz sauce).
Calculator Diri Djon Djon Classic Haitian Recipe Per Person
Estimates ingredients for Diri Djon Djon (Haitian black rice with endemic djon djon mushrooms from northern Haiti traditional festive dish).
Calculator Banane Pesee Haitian Recipe Per Person
Estimates ingredients for Haitian Banane Pesee (smashed fried plantains side dish for griot chicken conch tassot).
Calculator Marinad Haitian Recipe Per Person
Estimates ingredients for Haitian Marinad (simple fried fritter with parsley onion pepper street food snack appetizer).
Calculator Pen Patat Haitian Recipe Per Person
Estimates ingredients for Haitian Pen Patat (sweet potato pudding with coconut condensed milk cinnamon nutmeg Caribbean dessert).
Calculator Pen Mais Haitian Recipe Per Person
Estimates ingredients for Haitian Pen Mais (cornmeal cake with coconut milk cinnamon traditional Haitian dessert).
Calculator Pan Coupe Haitian Recipe Per Person Quantity
Estimates ingredients for Haitian Pan Coupe (traditional cut bread served at breakfast or snack with butter fish spread).
Calculator Douce Macaroni Haitian Recipe Per Person
Estimates ingredients for Haitian Douce Macaroni (sweet macaroni pudding with condensed milk cinnamon nutmeg creamy dessert).
Calculator Pepe Soup Haitian Recipe Per Person
Estimates ingredients for Haitian Pepe Soup (spicy fish or meat soup with roots Haitian Caribbean variant robust pepper broth).
Calculator Tactical XCOM 2 Time to Complete Game
Estimates time to complete XCOM 2 (Firaxis 2016 turn-based tactics resistance ADVENT Avenger Long War Of The Chosen WOTC difficulty).
Calculator Tactical XCOM Enemy Unknown Time to Complete Game
Estimates time to complete XCOM Enemy Unknown EU EW (Firaxis 2012 Enemy Within reboot 2K alien base modern turn-based tactics).
Calculator Tactical Fire Emblem Three Houses Time to Complete
Estimates time to complete Fire Emblem Three Houses (Intelligent Systems Switch 2019 Garreg Mach 4 routes Black Eagles Blue Lions Golden Deer Church).
Calculator Tactical Fire Emblem Engage Time to Complete
Estimates time to complete Fire Emblem Engage (Intelligent Systems Switch 2023 Emblem Rings 12 legendary heroes Alear Elyos four kingdoms).
Calculator Tactical Advance Wars Time to Complete Campaign
Estimates time Advance Wars 1+2 Re-Boot Camp or classic series GBA DS (Intelligent Systems COs ground air naval units campaign).
Calculator Tactical Into the Breach Time to Complete Runs Extras
Estimates time to complete Into the Breach (Subset Games 2018 Vek invasion mechs Advanced Edition 4 islands 8x8 grid turn-based puzzle).
Calculator Tactical Mario Rabbids Time to Complete
Estimates time to complete Mario Rabbids Kingdom Battle or Sparks of Hope (Ubisoft Milan Switch turn-based tactics Mario Luigi Peach Yoshi DLC).
Calculator Tactical Tactics Ogre Time to Complete
Estimates time Tactics Ogre Let Us Cling Together Reborn (Quest Square Enix PSP PS1 Yasumi Matsuno Final Fantasy Tactics designer Walistas).
Calculator Tactical Final Fantasy Tactics Time to Complete
Estimates time Final Fantasy Tactics War of Lions FFT (Square 1997 PSone PSP Yasumi Matsuno Ramza Delita Ovelia Ivalice classes ASM elements).
Calculator Tactical Jagged Alliance Time to Complete
Estimates time Jagged Alliance 2 or 3 (Sir-Tech Haemimont Games turn-based tactics mercenaries Arulco Grand Chien AIM MERC Bobby Ray store).
Calculator Tactical Wasteland 3 Time to Complete
Estimates time to complete Wasteland 3 (InXile 2020 turn-based tactics Colorado post-apocalyptic Patriarch Rangers moral choices multiple endings).
Calculator Tactical Shadowrun Time to Complete
Estimates time Shadowrun Returns Dragonfall Hong Kong (Harebrained Schemes cyberpunk magic turn-based tactics matrix samurai street decker mage).
Calculator Tactical Divinity Original Sin 2 Time
Estimates time Divinity Original Sin 2 (Larian Studios 2017 cRPG turn-based Rivellon Source Hunters Fane Lohse Sebille classes co-op up to 4 players).
Calculator Astro Startup Time Project MB
Estimates Astro dev server startup time per project MB (Vite-based island architecture SSG SSR partial hydration framework agnostic).
Calculator Astro Build Time Pages Type
Estimates Astro build time per page count and type (static SSG hybrid SSR adapter Netlify Vercel Node Deno Cloudflare).
Calculator Astro Throughput RPS SSR Routes
Estimates SSR route throughput RPS Astro per overhead (Node adapter Deno Bun Cloudflare Workers edge V8 isolates cold warm).
Calculator Astro Bundle Size MB Deps Project
Estimates Astro client bundle size per deps integrations (React Vue Svelte Solid Preact Lit Alpine MDX images Tailwind icons).
Calculator Eleventy Startup Time Project MB
Estimates Eleventy 11ty startup time per project MB (pure Node.js SSG nunjucks liquid handlebars markdown pug template engines).
Calculator Eleventy Build Time Pages Type
Estimates Eleventy 11ty build time per page count and type (pagination collections data file template engine markdown nunjucks liquid).
Calculator Eleventy Bundle Size MB Deps
Estimates Eleventy 11ty client bundle size (zero JS by default) per added deps Alpine HTMX Petite Vue plugin image MDX assets.
Calculator Eleventy Throughput RPS SSG Routes
Estimates Eleventy 11ty throughput RPS serving static pages (Nginx Caddy CDN edge cache pre-built HTML no SSR runtime).
Calculator Hugo Build Time Pages Type
Estimates Hugo build time per page count and type (Go native SSG very fast taxonomies sections content data shortcodes Hugo Modules).
Calculator Hugo Throughput RPS SSG Routes
Estimates Hugo throughput RPS serving static pages (Nginx Caddy Hugo dev server CDN edge cache pre-built HTML).
Calculator Jekyll Build Time Pages Type
Estimates Jekyll build time per page count and type (Ruby SSG GitHub Pages liquid templating posts collections plugins gems).
Calculator Jekyll Throughput RPS SSG Routes
Estimates Jekyll throughput RPS serving static pages (Nginx Caddy GitHub Pages CDN edge HTML pre-built no Ruby runtime).
Calculator Tropical Dermatology Tinea Corporis Treatment Time Months
Estimates tinea corporis treatment time body ringworm (dermatophytosis Trichophyton rubrum Microsporum canis adults children topical oral antifungal).
Calculator Tropical Dermatology Tinea Cruris Treatment Time Months
Estimates tinea cruris jock itch groin treatment time (Trichophyton rubrum Epidermophyton floccosum inguinal folds heat humidity obesity adult males).
Calculator Tropical Dermatology Tinea Pedis Treatment Time Months
Estimates tinea pedis athletes foot treatment time (Trichophyton rubrum mentagrophytes interdigital plantar vesiculobullous moccasin closed shoes).
Calculator Tropical Dermatology Pityriasis Versicolor Treatment Time
Estimates pityriasis versicolor treatment time (Malassezia furfur globosa hypopigmentation hyperpigmentation trunk oily skin heat humidity adolescents adults).
Calculator Tropical Dermatology Larva Migrans Treatment Time
Estimates cutaneous larva migrans creeping eruption treatment time (Ancylostoma braziliense caninum beach sand tourists feet plantar serpiginous trail).
Calculator Tropical Dermatology Cutaneous Leishmaniasis Treatment Time
Estimates cutaneous leishmaniasis treatment time American tegumentary (Leishmania braziliensis amazonensis sand fly phlebotomine ulcerated form).
Calculator Tropical Dermatology Paracoccidioidomycosis Treatment Time
Estimates paracoccidioidomycosis South American blastomycosis treatment time (Paracoccidioides brasiliensis lutzii rural workers mucocutaneous lesions lungs Brazil).
Calculator Tropical Dermatology Chromomycosis Treatment Time
Estimates chromoblastomycosis treatment time (Fonsecaea pedrosoi Cladophialophora carrionii verrucous lesions lower limbs muriform bodies farmers).
Calculator Tropical Dermatology Sporotrichosis Treatment Time
Estimates sporotrichosis treatment time (Sporothrix schenckii brasiliensis cats zoonosis Rio de Janeiro gardeners rose grower disease lymphocutaneous fixed).
Calculator Tropical Dermatology Mycetoma Treatment Time
Estimates mycetoma treatment time (eumycetoma actinomycetoma maduromycosis Madura foot Sudan Mexico colored grains sinuses chronic tumor).
Calculator Tropical Dermatology Piedra Treatment Time
Estimates piedra white black treatment time (Trichosporon Piedraia hortae nodules hair shaft beard moustache tropical regions Brazil hygiene).
Calculator Tropical Dermatology Tunga Penetrans Treatment Time
Estimates tungiasis jigger flea treatment time (Tunga penetrans female sand flea periungueal feet children slum rural sandy soil secondary infection).
Calculator Tostones Cuban Recipe Per Person Quantity
Estimates ingredients for Cuban tostones (chatinos) per person — green plantain twice-fried with garlic mojo.
Calculator Maduros Cuban Recipe Per Person Quantity
Estimates ingredients for Cuban platanos maduros per person — ripe sweet plantains caramelized in slices.
Calculator Frijoles Negros Cuban Recipe Per Person
Estimates ingredients for Cuban black beans per person — frijoles negros with sofrito of pepper garlic cumin oregano bay leaf.
Calculator Arroz Blanco Cuban Recipe Per Person
Estimates ingredients for Cuban white rice per person — long-grain rice with garlic olive oil and salt fluffy.
Calculator Yuca Frita Cuban Recipe Per Person
Estimates ingredients for Cuban yuca frita per person — boiled then fried golden cassava with garlic sour-orange mojo.
Calculator Platanos en Tentacion Cuban Recipe Per Person
Estimates ingredients for Cuban platanos en tentacion per person — ripe plantains baked with sugar cinnamon butter and wine.
Calculator Tamales Cuban Recipe Per Person Quantity
Estimates ingredients for Cuban tamales per person — fresh corn dough stuffed with pork wrapped in cornhusk.
Calculator Empanadas Cuban Recipe Per Person Quantity
Estimates ingredients for Cuban empanadas per person — fried turnover stuffed with picadillo ground beef sofrito olives raisins.
Calculator Mojo Criollo Cuban Recipe Per Person Seasoning
Estimates ingredients for Cuban mojo criollo per person — garlic olive oil and sour orange sauce base of Caribbean cuisine.
Calculator Cafecito Cuban Recipe Per Person Drink
Estimates ingredients for Cuban cafecito per person — sweet espresso with whipped sugar foam (azucarito).
Calculator Mojito Cuban Recipe Per Person Drink
Estimates ingredients for Cuban mojito per person — white rum mint lime sugar soda water and ice.
Calculator Daiquiri Cuban Recipe Per Person Drink
Estimates ingredients for Cuban daiquiri per person — Floridita classic white rum lime sugar shaken with ice.
Calculator Colada Cuban Drink Recipe Per Person
Estimates ingredients for Cuban colada per person — concentrated sweet espresso served to share in small cups.
Calculator RTS Warcraft 2 Time to Complete
Estimates time to complete Warcraft 2 Tides of Darkness and Beyond the Dark Portal — classic 1995 Blizzard RTS.
Calculator RTS Warcraft 3 Time to Complete
Estimates time to complete Warcraft 3 Reign of Chaos and Frozen Throne — 2002 Blizzard RTS with heroes and creeps.
Calculator RTS StarCraft Original Time to Complete
Estimates time to complete StarCraft original and Brood War — 1998 Blizzard RTS three races Terran Zerg Protoss.
Calculator RTS StarCraft 2 Time to Complete
Estimates time to complete StarCraft 2 Wings Heart Legacy — Blizzard RTS trilogy 2010-2015.
Calculator RTS Age of Empires 2 Time to Complete
Estimates time to complete Age of Empires 2 Age of Kings Conquerors and DLCs — 1999 Ensemble RTS.
Calculator RTS Age of Empires 3 Time to Complete
Estimates time to complete Age of Empires 3 Discovery Warchiefs Asian — 2005 Ensemble RTS Definitive 2020.
Calculator RTS Age of Empires 4 Time to Complete
Estimates time to complete Age of Empires 4 campaigns — 2021 Relic RTS Normans Mongols 100 Years Russians Sultans.
Calculator RTS Command Conquer Red Alert Time
Estimates time to complete Command Conquer Red Alert series — 1996 Westwood RTS Soviets Allies alternate WW2.
Calculator RTS Command Conquer Generals Time
Estimates time to complete Command Conquer Generals and Zero Hour — 2003 EA Pacific RTS USA China GLA modern conflict.
Calculator RTS Supreme Commander Time to Complete
Estimates time to complete Supreme Commander and Forged Alliance — 2007 Gas Powered RTS massive scale ACUs.
Calculator RTS Rise of Nations Time to Complete
Estimates time to complete Rise of Nations and Thrones Patriots — 2003 Big Huge RTS 8 ages 18 nations territories.
Calculator RTS Empire Earth Time to Complete
Estimates time to complete Empire Earth and expansions — 2001 Stainless Steel RTS 500K years prehistory to nano-era.
Calculator RTS Homeworld Time to Complete
Estimates time to complete Homeworld Cataclysm Homeworld 2 and Remastered — 1999 Relic 3D space RTS Kushan Taiidan.
Calculator Wails Startup Time Project MB
Estimates Wails (Go + WebView) app startup time in ms by project size in MB — Go native backend with HTML/JS frontend.
Calculator Wails Build Time Project MB
Estimates Wails build time by Go+frontend project size in MB — wails build cross-compile native binary.
Calculator Wails Bundle Size MB Deps
Estimates Wails app bundle size in MB by Go and frontend dependency count — native binary + OS WebView.
Calculator Wails Memory MB Type
Estimates Wails app RAM usage in MB by usage type — lightweight Go backend + OS-shared WebView.
Calculator Tauri Startup Time Project MB
Estimates Tauri (Rust + WebView) app startup time in ms by project size in MB — Rust backend + web frontend.
Calculator Tauri Build Time Project MB
Estimates Tauri build time by Rust+frontend project size in MB — tauri build with cargo + bundler.
Calculator Tauri Bundle Size MB Deps
Estimates Tauri bundle size in MB by Rust and frontend dependency count — optimized binary + OS WebView.
Calculator Tauri Memory MB Type
Estimates Tauri app RAM usage in MB by usage type — Rust native backend + OS-shared WebView.
Calculator Electron Startup Time Project MB
Estimates Electron (Chromium + Node) startup time in ms by project size in MB — full runtime bundled.
Calculator Electron Build Time Project MB
Estimates Electron build time by project size in MB — electron-builder or forge packing Chromium + Node.
Calculator Electron Bundle Size MB Deps
Estimates Electron bundle size in MB by node_modules dependency count — Chromium + Node + ASAR.
Calculator Electron Memory MB Type
Estimates Electron app RAM usage in MB by usage type — Chromium multi-process main + renderer + GPU.
Calculator Gynecology Birth Control Pill Effectiveness Per Person Type
Estimates oral combined and progestin-only minipill effectiveness per person — perfect vs typical use Pearl Index.
Calculator Gynecology Morning-After Pill Per Person
Estimates emergency contraception morning-after pill effectiveness per person — levonorgestrel or ulipristal acetate by time window.
Calculator Gynecology Monthly Injectable Per Person
Estimates monthly contraceptive injection effectiveness per person — estrogen + progestin Mesigyna Perlutan Cyclofemina.
Calculator Gynecology Quarterly Injectable Per Person
Estimates quarterly contraceptive injection effectiveness per person — Depo-Provera medroxyprogesterone 150mg every 90 days.
Calculator Gynecology Contraceptive Implant Effectiveness Per Person
Estimates subdermal contraceptive implant effectiveness per person — Implanon Nexplanon etonogestrel 68mg 3 years left arm.
Calculator Gynecology Copper IUD Effectiveness Per Person
Estimates copper IUD TCu380A effectiveness per person — non-hormonal intrauterine device 10 years free at SUS.
Calculator Gynecology Mirena Hormonal IUD Effectiveness Per Person
Estimates Mirena hormonal IUD effectiveness per person — levonorgestrel 52mg releasing 20mcg/day 8 years duration.
Calculator Gynecology Condom Effectiveness Per Person
Estimates male and female condom effectiveness per person — only barrier method also protecting against STIs.
Calculator Gynecology Vasectomy Per Person
Estimates vasectomy effectiveness per person — male sterilization vas deferens section outpatient Brazilian law 25 years.
Calculator Gynecology Tubal Ligation Per Person
Estimates tubal ligation effectiveness per person — female sterilization tubes section laparoscopic or postpartum Brazilian law 25 years.
Calculator Gynecology Calendar Rhythm Method Per Person
Estimates calendar rhythm method effectiveness per person — Ogino-Knaus abstinence during fertile window with regular cycle.
Calculator Gynecology Withdrawal Method Per Person
Estimates withdrawal coitus interruptus effectiveness per person — penis removal before ejaculation low historic effectiveness.
Calculator Mantitschi Anatolian Recipe Per Person Quantity
Estimates ingredients for Anatolian mantitschi per person — regional manti variant thin dough stuffed with lamb sumac yogurt and butter.
Calculator Kuru Fasulye Anatolian Recipe Per Person Quantity
Estimates Turkish kuru fasulye ingredients per person — national dish white beans tomato onion pepper paste served with pilav rice.
Calculator Pilaki Anatolian Recipe Per Person Quantity
Estimates Anatolian pilaki ingredients per person — Turkish meze white beans carrot potato olive oil lemon parsley served cold as appetizer.
Calculator Cig Kofte Anatolian Recipe Per Person Quantity
Estimates Anatolian cig kofte ingredients per person — vegetarian raw kibbe bulgur pepper paste tomato herbs served on lettuce Sanliurfa specialty.
Calculator Tantuni Anatolian Recipe Per Person Quantity
Estimates Anatolian tantuni ingredients per person — Mersin specialty thin-cut beef seared on hot griddle with tomato onion wrapped in lavash.
Calculator Cag Kebabi Anatolian Recipe Per Person Quantity
Estimates Anatolian cag kebabi ingredients per person — Erzurum specialty horizontal-spit lamb kebab marinated sliced served with lavash.
Calculator Perde Pilavi Anatolian Recipe Per Person Quantity
Estimates Anatolian perde pilavi ingredients per person — Siirt specialty rice with chicken almonds raisins wrapped in dough baked in mold.
Calculator Icli Kofte Anatolian Recipe Per Person
Estimates Anatolian icli kofte ingredients per person — fine bulgur ball stuffed with ground meat onion pine nuts spices fried or boiled Turkish kibbeh.
Calculator Yaprak Sarma Anatolian Recipe Per Person
Estimates Anatolian yaprak sarma ingredients per person — vine leaves stuffed with rice onion pine nuts raisins mint cinnamon served cold with lemon.
Calculator Zerde Anatolian Recipe Per Person Quantity
Estimates Anatolian zerde ingredients per person — Ottoman saffron rice pudding cooked in water and sugar topped with nuts pistachios and pomegranate.
Calculator Sutlac Anatolian Recipe Per Person
Estimates Anatolian sutlac ingredients per person — Turkish rice pudding broiled in clay bowls with cinnamon dessert common across Anatolia.
Calculator Asure Anatolian Recipe Per Person Quantity
Estimates Anatolian asure ingredients per person — traditional Turkish Noahs pudding with barley chickpea beans dried fruits nuts spices made during Muharram month.
Calculator Sahlep Anatolian Drink Recipe Per Person
Estimates Anatolian sahlep drink ingredients per person — milk thickened with orchid root flour topped with cinnamon traditional Turkish winter beverage.
Calculator Narrative The Walking Dead Telltale Time to Complete
Estimates time to complete The Walking Dead Telltale seasons 1-4 plus Michonne — narrative point-and-click adventure with branching choices Lee and Clementine.
Calculator Narrative The Wolf Among Us Time to Complete
Estimates time to complete The Wolf Among Us — narrative adventure based on Fables comic set in Fabletown with Bigby Wolf detective noir Snow White fairy tale characters.
Calculator Narrative Game of Thrones Telltale Time to Complete
Estimates time to complete Game of Thrones Telltale 6 episodes — interactive narrative House Forrester family set between HBO seasons 3 and 5.
Calculator Narrative Life is Strange Time to Complete
Estimates time to complete Life is Strange original 5 episodes — Max Caulfield photography student in Arcadia Bay discovers she can rewind time Dontnod Square Enix.
Calculator Narrative Life is Strange 2 Time to Complete
Estimates time to complete Life is Strange 2 — Sean and Daniel Diaz brothers road trip from Seattle to Mexico after home tragedy Daniel manifests telekinetic powers Dontnod.
Calculator Narrative Tales from the Borderlands Time to Complete
Estimates time to complete Tales from the Borderlands — Telltale spin-off of Borderlands universe with Rhys (Hyperion) and Fiona (Pandora con artist) chasing a Vault Key.
Calculator Narrative Batman Telltale Time to Complete
Estimates time to complete Batman Telltale 2 seasons — interactive narrative Bruce Wayne Batman set in Gotham with Joker Catwoman Penguin Telltale 2016-2018.
Calculator Narrative Detroit Become Human Time to Complete
Estimates time to complete Detroit Become Human — Quantic Dream interactive narrative with 3 androids Kara Connor Markus in Detroit 2038 sentient and revolution.
Calculator Narrative Heavy Rain Time to Complete
Estimates time to complete Heavy Rain — Quantic Dream noir thriller with 4 protagonists investigating the Origami Killer Ethan Mars fights to save his son.
Calculator Narrative Beyond Two Souls Time to Complete
Estimates time to complete Beyond Two Souls — Quantic Dream non-linear chronology narrative with Jodie Holmes and entity Aiden Ellen Page Willem Dafoe motion capture.
Calculator Narrative Until Dawn Time to Complete
Estimates time to complete Until Dawn — Supermassive Games narrative horror with 8 teens at Blackwood Pines cabin butterfly effect system permadeath.
Calculator Narrative The Quarry Time to Complete
Estimates time to complete The Quarry — Supermassive Games narrative horror at Hackett Quarry camp 9 counselors survive summer night Lance Henriksen David Arquette.
Calculator Narrative As Dusk Falls Time to Complete
Estimates time to complete As Dusk Falls — Interior Night narrative on 2 intertwined families in Arizona 1998-2012 illustrated art style Caroline Marchal.
Calculator Vercel Deploy Time Project MB
Estimates Vercel deploy time in seconds by project size in MB — Vercel Build Container installing dependencies compiling Next.js Vite Astro and shipping to edge.
Calculator Vercel Edge Functions Throughput RPS
Estimates Vercel Edge Functions throughput in requests per second — V8 isolates running in 70+ global regions Web Standards APIs no cold start.
Calculator Vercel Edge Config Throughput RPS
Estimates Vercel Edge Config throughput in requests per second — globally distributed config store ultra-fast sub-15ms reads feature flags AB tests.
Calculator Vercel Image Optimization Time MS
Estimates Vercel Image Optimization time in milliseconds per image — automatic WebP AVIF transformation resize CDN cache with next/image.
Calculator Netlify Deploy Time Project MB
Estimates Netlify deploy time in seconds by project size in MB — Netlify Build Container installing deps compiling Gatsby Next Hugo Eleventy and distributing via CDN.
Calculator Netlify Edge Functions Throughput RPS
Estimates Netlify Edge Functions throughput in requests per second — Deno runtime running on edge in ~70 global cities Web Standards APIs.
Calculator Netlify Image CDN Time MS
Estimates Netlify Image CDN time in milliseconds per image — automatic WebP AVIF resize transformation via query string global edge cache.
Calculator Fly.io Deploy Time Project MB
Estimates Fly.io deploy time in seconds by project size in MB — flyctl build Docker container push registry deploy multi-region Firecracker VMs.
Calculator Fly.io Machines Startup Time MS
Estimates Fly.io Machines startup time in milliseconds — Firecracker microVMs auto-start/stop suspend resume cold-start in milliseconds vs containers.
Calculator Railway Deploy Time Project MB
Estimates Railway deploy time in seconds by project size in MB — Nixpacks buildpacks auto-detect language build container deploy us-west.
Calculator Render Deploy Time Project MB
Estimates Render deploy time in seconds by project size in MB — Web Service buildpack or Docker auto-detect deploy Oregon Frankfurt Singapore.
Calculator Cloudflare Pages Deploy Time Project MB
Estimates Cloudflare Pages deploy time in seconds by project size in MB — build framework presets compile and distribute CDN Cloudflare 320+ POPs.
Calculator Pediatric Cardiology Heart Rate Per Person Age
Estimates pediatric normal heart rate by age — newborn 100-160 infant 80-140 preschool 80-120 schoolchild 70-110 teen 60-100 bpm.
Calculator Pediatric Cardiology Blood Pressure Per Person Age
Estimates pediatric normal blood pressure by age and percentile — simplified formula systolic = 90 + 2 x age(yrs) and diastolic = 50 + age(yrs) Pediatrics reference.
Calculator Pediatric Cardiology ASD Congenital Heart Defect Per Person
Estimates Atrial Septal Defect (ASD) congenital heart disease features — acyanotic left-to-right shunt ostium secundum most common 80%.
Calculator Pediatric Cardiology VSD Congenital Heart Defect Per Person
Estimates Ventricular Septal Defect (VSD) most common congenital heart disease features — left-to-right shunt perimembranous 80% muscular trabecular subaortic.
Calculator Pediatric Cardiology PDA Congenital Heart Defect Per Person
Estimates Patent Ductus Arteriosus (PDA) congenital heart disease features — aorta-pulmonary artery communication common in preemies Gibson continuous murmur.
Calculator Pediatric Cardiology Tetralogy of Fallot Per Person
Estimates Tetralogy of Fallot features — most common cyanotic congenital heart disease after age 1 — VSD pulmonary stenosis aorta overriding RV hypertrophy.
Calculator Pediatric Cardiology Transposition of Great Arteries Per Person
Estimates Transposition of the Great Arteries (TGA) — most common cyanotic congenital heart disease in newborn — aorta from RV pulmonary artery from LV.
Calculator Pediatric Cardiology Truncus Arteriosus Per Person
Estimates Truncus Arteriosus features — rare cyanotic congenital heart disease — single vessel arising from both ventricles with VSD truncal valve insufficiency.
Calculator Pediatric Cardiology Coarctation of Aorta Per Person
Estimates Aortic Coarctation features — acyanotic congenital heart disease aortic narrowing usually juxta-ductal upper limb hypertension lower limb hypotension diminished femoral pulses.
Calculator Pediatric Cardiology Aortic Stenosis Per Person
Estimates Congenital Aortic Stenosis features — bicuspid unicuspid or dysplastic tricuspid valve LV-aorta gradient syncope chest pain exertional dyspnea symptoms.
Calculator Pediatric Cardiology Pulmonary Stenosis Per Person
Estimates Congenital Pulmonary Stenosis features — pulmonary valve with commissural fusion or dysplasia RV-pulmonary gradient Williams Noonan syndromes associated.
Calculator Pediatric Cardiology Kawasaki Disease Criteria Per Person
Estimates Kawasaki Disease diagnostic criteria — medium-large vessel vasculitis primary cause of acquired pediatric heart disease fever 5 days + 4 of 5 criteria.
Calculator Dobrogean Saramura Recipe Per Person
Estimates ingredients for Dobrogean saramura (grilled carp pike mullet brine chili garlic thyme oil) per person Danube Delta Romania.
Calculator Dobrogean Storceag Recipe Per Person
Estimates ingredients for Dobrogean storceag (sturgeon caviar sour cream onion yolks thyme) fish soup Lipoveni Danube Delta.
Calculator Dobrogean Papara Recipe Per Person
Estimates ingredients for Dobrogean papara (rustic bread sheep cheese eggs butter milk onion bell pepper) shepherd dish Romania.
Calculator Dobrogean Plachie Recipe Per Person
Estimates ingredients for Dobrogean plachie (white beans olive oil tomato onion garlic bay paprika vinegar) Romanian Orthodox monastic vegan dish.
Calculator Dobrogean Burta cu Cas Recipe Per Person
Estimates ingredients for Dobrogean burta cu cas (lamb belly cheese telemea onion eggs bread spices) made at religious feasts.
Calculator Dobrogean Pirjoale Recipe Per Person
Estimates ingredients for Dobrogean pirjoale (ground pork beef onion garlic bread paprika egg dill fried).
Calculator Dobrogean Baclava Recipe Per Person
Estimates ingredients for Dobrogean baclava (filo dough walnuts cinnamon butter sugar honey lemon flower water) Turkish-Tatar heritage Babadag Mangalia.
Calculator Dobrogean Cataif Recipe Per Person
Estimates ingredients for Dobrogean cataif (angel hair pastry walnuts pistachio butter syrup orange flower water) Ottoman Romanian dessert.
Calculator Dobrogean Halva Recipe Per Person
Estimates ingredients for Dobrogean halva (tahini sesame paste sugar pistachio almonds vanilla) made by Tatar Turk helvaci masters.
Calculator Dobrogean Rosogol Recipe Per Person
Estimates ingredients for Dobrogean rosogol (sugar water citric acid rose dye anise) hard candy made by itinerant fair vendors.
Calculator Romanian Bragadiru Recipe Per Person
Estimates ingredients for Romanian Bragadiru (beer malt barley hops yeast honey cinnamon) traditional fermented drink Bucharest 19th century.
Calculator Romanian Vin Fiert Recipe Per Person
Estimates ingredients for Romanian vin fiert (red wine cinnamon clove orange sugar honey pepper) Christmas warm drink Romania Transylvania.
Calculator Romanian Palinca Recipe Per Person
Estimates ingredients for Romanian palinca (plum pear apple apricot double distilled 50% copper alembic) traditional spirit Transylvania Maramures.
Calculator Railroad Tycoon Time to Complete Game
Estimates time to complete Railroad Tycoon (1990) Sid Meier MicroProse steam diesel rail simulation 1830-1930.
Calculator Railroad Tycoon 2 Time to Complete
Estimates time to complete Railroad Tycoon 2 (1998) PopTop Software rail strategy classic Sid Meier successor.
Calculator Railroad Tycoon 3 Time to Complete
Estimates time to complete Railroad Tycoon 3 (2003) PopTop Take-Two 3D rail with dynamic commodity economy.
Calculator Transport Tycoon Time to Complete Game
Estimates time to complete Transport Tycoon (1994) Chris Sawyer Microprose trains trucks planes ships.
Calculator Mad TV Time to Complete Game
Estimates time to complete Mad TV (1991) Rainbow Arts manage German TV channel build audience defeat rival.
Calculator Detective Stories Time to Complete
Estimates time to complete Detective Stories Hong Kong (1988) Capstone investigator businessman private eye agency.
Calculator Shop Titans Time to Complete
Estimates time to complete Shop Titans (2019) Kabam mobile RPG craft sell forge merchant fantasy hero.
Calculator Airport Tycoon Time to Complete Game
Estimates time to complete Airport Tycoon (2000) Sunstorm manage international airport terminal runway airlines.
Calculator Software Inc Time to Complete Game
Estimates time to complete Software Inc (2015) Coredumping manage software company from 1980 to present.
Calculator Game Dev Tycoon Time to Complete
Estimates time to complete Game Dev Tycoon (2012) Greenheart Games manage games studio from 1980s garage.
Calculator Software Development Tycoon Time to Complete
Estimates time to complete Software Development Tycoon (2017) Kairosoft mobile manage software developers projects.
Calculator Fast Food Tycoon Time to Complete
Estimates time to complete Fast Food Tycoon (1999) Software 2000 manage fast food chain fictional city burger pizza.
Calculator Restaurant Empire Time to Complete
Estimates time to complete Restaurant Empire (2003) Enlight manage restaurant chain Paris Berlin Hong Kong gourmet.
Calculator Zig Comptime Project Build Time
Estimates Zig 0.13 build time with comptime for MB project toolchain Andrew Kelley compiletime metaprogramming.
Calculator Zig Async Await Overhead Nanoseconds
Estimates Zig async await stackless coroutines overhead in nanoseconds per I/O bound colorless function call.
Calculator Zig Error Set Throughput
Estimates Zig error sets union exhaustive matching throughput million ops per second without exception overhead.
Calculator Zig Vector SIMD Throughput
Estimates Vector(N,T) SIMD intrinsics Zig throughput gigaops per second AVX2 AVX512 NEON portable.
Calculator Carbon Lang Startup Project Time
Estimates Carbon Lang 0.x Google experimental C++ successor startup time bidirectional interop LLVM clang toolchain.
Calculator Carbon Lang Throughput RPS
Estimates Carbon Lang HTTP server requests per second experimental still under development.
Calculator Carbon Lang Project Build Time
Estimates Carbon Lang 0.x compiler build time clang LLVM frontend C++ headers interop.
Calculator Carbon Lang Bundle Size MB
Estimates Carbon Lang experimental binary bundle size in MB linker llvm lld stripped.
Calculator V Lang Project Startup Time MB
Estimates V Lang 0.4 project startup time MB Alexander Medvednikov Go-like syntax simplicity C performance.
Calculator V Lang Throughput RPS Routes
Estimates V Lang HTTP server requests per second net.http routes served.
Calculator V Lang Vweb Throughput RPS
Estimates vweb V Lang fullstack web framework throughput requests per second SQLite Postgres builtin ORM.
Calculator Mojo Lang Tensors Per Second Throughput
Estimates Mojo Lang Modular tensors operations per second ML AI Chris Lattner Python experimental successor.
Calculator Geriatric Internal Medicine Osteoporosis Density Per Person
Estimates elderly osteoporosis features bone mineral density T-score WHO DEXA femur lumbar fracture risk FRAX.
Calculator Geriatric Internal Medicine Sarcopenia Per Person Muscle
Estimates elderly sarcopenia features muscle mass loss grip strength gait speed EWGSOP2 SARC-F.
Calculator Geriatric Internal Medicine Frailty Per Person Fried Criteria
Estimates elderly frailty Fried phenotype criteria weight loss exhaustion weakness gait physical activity.
Calculator Geriatric Internal Medicine Comorbidity Per Person Charlson
Estimates Charlson Comorbidity Index elderly weighted disease scoring 1 and 10 year mortality prognosis.
Calculator Geriatric Internal Medicine Polypharmacy Per Person STOPP START
Estimates STOPP START polypharmacy criteria elderly inappropriate omitted medications v3 2023.
Calculator Geriatric Internal Medicine Incontinence Per Person Questionnaire
Estimates elderly urinary incontinence features DIAPPERS reversible types stress urge mixed functional questionnaire.
Calculator Geriatric Internal Medicine Falls Per Person STOP Criteria
Estimates elderly fall risk criteria Timed Up and Go TUG intrinsic extrinsic factors prevention.
Calculator Geriatric Internal Medicine Dementia Per Person MMSE
Estimates Mini Mental State Examination MMSE Folstein 30 points elderly cognition screening dementia.
Calculator Geriatric Internal Medicine Delirium Per Person CAM
Estimates Delirium diagnostic criteria Confusion Assessment Method CAM Inouye 1990 hospitalized elderly emergency.
Calculator Geriatric Internal Medicine Depression Per Person GDS 15
Estimates Geriatric Depression Scale GDS-15 Yesavage screening criteria elderly depression 15 Yes No questions.
Calculator Geriatric Internal Medicine Katz ADL Per Person Questionnaire
Estimates Katz ADL basic activities daily living scale 6 items bath dress toilet transfer continence feeding.
Calculator Geriatric Internal Medicine Lawton IADL Per Person Questionnaire
Estimates Lawton IADL instrumental activities daily living scale 8 items phone shop kitchen housekeeping laundry transport meds finance.
Calculator Hunter Bigos Polish per Person Recipe
Estimates ingredients for bigos mysliwsi Polish hunter stew (wild boar venison hare sauerkraut mushroom red wine) per person.
Calculator Zurek Staropolski Polish per Person Recipe
Estimates ingredients for zurek staropolski Polish sour rye soup (rye starter white sausage egg mushrooms cream) per person.
Calculator Zalewajka Polish per Person Recipe
Estimates ingredients for zalewajka Lodz Polish sour soup (rye starter potato mushroom bacon cream onion) per person.
Calculator Pierogi Ruskie Polish per Person Recipe
Estimates ingredients for pierogi ruskie Polish dumplings (flour water salt dough potato white cheese twarog onion filling) per person.
Calculator Pierogi z Jagodami Polish per Person Recipe
Estimates ingredients for pierogi z jagodami Polish blueberry dumplings (flour egg dough wild blueberry sugar cinnamon cream filling) per person.
Calculator Golabki Polish Traditional per Person Recipe
Estimates ingredients for golabki Polish cabbage rolls (cabbage leaf ground meat rice onion tomato sauce mushroom filling) per person.
Calculator Flaki Staropolski Polish per Person Recipe
Estimates ingredients for flaki staropolski Polish tripe soup (beef tripe carrot celery marjoram allspice beef broth) per person.
Calculator Mizeria Polish per Person Recipe
Estimates ingredients for mizeria Polish cucumber salad (sliced cucumber sour cream dill chives salt vinegar) per person.
Calculator Kapusta Zasmazana Polish per Person Recipe
Estimates ingredients for kapusta zasmazana Polish braised sauerkraut (sauerkraut bacon onion roux marjoram allspice) per person.
Calculator Pierogi Leniwe Polish per Person Recipe
Estimates ingredients for pierogi leniwe Polish lazy dumplings (white cheese twarog flour egg semolina butter dough) per person.
Calculator Piernik Polish per Person Recipe
Estimates ingredients for piernik Polish Torun gingerbread cake (rye flour honey spices ginger cinnamon clove plum jam) per person.
Calculator Sernik Polish per Person Recipe
Estimates ingredients for sernik Polish cheesecake (white cheese twarog egg sugar butter flour vanilla raisin lemon zest) per person.
Calculator Faworki Polish per Person Recipe
Estimates ingredients for faworki Polish angel wings (flour egg sour cream vodka vinegar fried dough powdered sugar) per person.
Calculator F1 2023 Game Season Completion Time
Estimates time to complete F1 2023 Codemasters EA season 23 GPs MyTeam Braking Point 3 multiplayer F1 World trophies.
Calculator EA Sports F1 24 Season Completion Time
Estimates time to complete EA Sports F1 24 season 24 GPs Driver Career MyTeam Career Champions Mode F1 World trophies.
Calculator F1 22 Game Season Completion Time
Estimates time to complete F1 22 Codemasters EA first post-EA season 22 GPs F1 Life supercars MyTeam Career multiplayer.
Calculator F1 2021 Game Season Completion Time
Estimates time to complete F1 2021 Codemasters EA first game after EA season 22 GPs Braking Point story career multiplayer.
Calculator F1 2020 Game Season Completion Time
Estimates time to complete F1 2020 Codemasters season 22 GPs MyTeam debut split screen multiplayer 70th anniversary Schumacher.
Calculator F1 2019 Game Season Completion Time
Estimates time to complete F1 2019 Codemasters season 21 GPs F2 included Driver Career Legends Edition Senna Prost classics.
Calculator Formula E Game Season Completion Time
Estimates time to complete Formula E games FE Champion Series Mobile season electric ePrix city circuits Attack Mode Fanboost.
Calculator IndyCar Game Season Completion Time
Estimates time to complete IndyCar games IndyCar Series 2003 2005 IndyCar 22 cancelled iRacing rFactor 2 Motorsport Games Indy 500 career.
Calculator NASCAR Heat Game Season Completion Time
Estimates time to complete NASCAR Heat 2 3 4 5 Monster Games 704Games Motorsport Cup Xfinity Truck 36 race season Daytona.
Calculator rFactor 1 Season Completion Time
Estimates time to complete rFactor 1 Image Space Incorporated 2005 sim racing mods F1 IndyCar GT3 Le Mans season multiplayer leagues.
Calculator Game Stock Car Season Completion Time
Estimates time to complete Game Stock Car Extreme Reiza Studios Brazilian Stock Car V8 Copa Petrobras Interlagos Curitiba Goiania season.
Calculator F1 Classic Cars Completion Time
Estimates time to complete F1 classic cars Senna McLaren MP4 4 Prost Lauda Schumacher Ferrari F2003 Williams FW14B Mansell game modes.
Calculator Grand Prix Legends Completion Time
Estimates time to complete Grand Prix Legends Papyrus Sierra 1998 F1 1967 Clark Hill Surtees Brabham Spa Monza Nurburgring sim racing.
Calculator Apollo Router Throughput RPS
Estimates Apollo Router Rust gateway federation v2 throughput requests per second supergraph subgraph latency P95 cold warm.
Calculator Apollo Supergraph Throughput RPS
Estimates Apollo Supergraph federation v2 composition subgraph schema throughput requests per second entity resolver _entities query plan.
Calculator Apollo Subgraph Throughput RPS
Estimates Apollo Subgraph Node TypeScript Java Kotlin Go GraphQL endpoint federation _service SDL @key entity resolver throughput.
Calculator Apollo Federation Overhead MS
Estimates Apollo Federation overhead milliseconds query planner _entities batch hop subgraph versus monolithic GraphQL latency.
Calculator Apollo Client Throughput Queries Per Second
Estimates Apollo Client React iOS Android Kotlin throughput queries per second InMemoryCache normalized typePolicy fetchPolicy network only.
Calculator Apollo Cache Overhead Bytes
Estimates Apollo InMemoryCache overhead bytes entities normalized key serialized JSON typePolicy browser app heap memory.
Calculator GraphQL Stitching Throughput RPS
Estimates GraphQL Schema Stitching graphql-tools introspection remoteSchemaExecutor merge schema throughput requests per second overhead vs federation.
Calculator GraphQL Mesh Throughput RPS
Estimates GraphQL Mesh The Guild handlers REST OpenAPI gRPC SOAP unified gateway transforms throughput requests per second serverless overhead.
Calculator Hasura GraphQL Engine Throughput RPS
Estimates Hasura GraphQL Engine Haskell PostgreSQL MS SQL CITUS Yugabyte auto-generated CRUD subscriptions WebSocket actions remote schemas throughput.
Calculator GraphQL Server Postgres Throughput RPS
Estimates GraphQL server backed PostgreSQL Node Prisma TypeORM Hasura PostGraphile throughput requests per second connection pool query overhead.
Calculator GraphQL Server MySQL Throughput RPS
Estimates GraphQL server backed MySQL Node Prisma Sequelize TypeORM Hasura throughput requests per second InnoDB query plan index.
Calculator GraphQL Server Redis Throughput RPS
Estimates GraphQL server backed Redis Node ioredis Apollo cache response query throughput requests per second cache-hit cache-miss latency.
Calculator Nuclear Medicine PET Scan Time Per Person
Estimates PET scan positron emission tomography time per person F-18 FDG glucose oncology tumor heart brain Alzheimer.
Calculator Nuclear Medicine SPECT Scan Time Per Person
Estimates SPECT scan single photon emission tomography time per person Tc-99m myocardial cerebral renal hepatic bone perfusion.
Calculator Nuclear Medicine Scintigraphy Time Per Person
Estimates scintigraphy planar gamma camera time per person Tc-99m radiopharmaceutical thyroid bone renal hepatobiliary pulmonary.
Calculator Nuclear Medicine Radiopharmaceutical Dose mCi Per Person
Estimates radiopharmaceutical dose millicurie mCi MBq per person Tc-99m F-18 I-131 Ga-68 by weight indication SNMMI protocol.
Calculator Nuclear Medicine Radioiodine Dose mCi Per Person
Estimates radioiodine I-131 dose millicurie mCi per person therapy hyperthyroidism Graves disease thyroid cancer ablation remnant metastases.
Calculator Nuclear Medicine Octreoscan Time Per Person
Estimates Octreoscan scintigraphy somatostatin receptor time per person In-111 pentetreotide NET neuroendocrine tumor carcinoid.
Calculator Nuclear Medicine Cardiac SPECT Time Per Person
Estimates cardiac SPECT myocardial perfusion scintigraphy time per person Tc-99m sestamibi tetrofosmin stress rest treadmill dipyridamole.
Calculator Nuclear Medicine Bone Scan Time Per Person
Estimates bone scan scintigraphy time per person Tc-99m MDP methylene diphosphonate whole body metastasis fracture osteomyelitis Paget.
Calculator Nuclear Medicine Renogram Time Per Person
Estimates renogram dynamic renal scintigraphy time per person Tc-99m DTPA MAG3 renal function obstruction hydronephrosis renovascular hypertension.
Calculator Nuclear Medicine Thyroid Scan Time Per Person
Estimates thyroid scan scintigraphy time per person Tc-99m pertechnetate I-123 I-131 uptake hot cold nodule Graves thyrotoxicosis.
Calculator Nuclear Medicine Parathyroid Scan Time Per Person
Estimates parathyroid scan scintigraphy time per person Tc-99m sestamibi MIBI dual phase SPECT CT hyperparathyroidism adenoma localization.
Calculator Nuclear Medicine MIBG Scan Time Per Person
Estimates MIBG meta-iodo benzylguanidine scan time per person I-123 I-131 pheochromocytoma neuroblastoma paraganglioma neuroendocrine tumor.
Calculator Cevapcici Balkan Recipe per Person
Estimates ingredients for Balkan cevapcici (grilled mini sausages beef lamb mince lepinje flatbread) per person.
Calculator Burek Balkan Recipe per Person
Estimates ingredients for Balkan burek (filo dough spiral pie meat cheese spinach traditional oven) per person.
Calculator Ajvar Balkan Recipe per Person
Estimates ingredients for Balkan ajvar (roasted red pepper paste eggplant garlic oil winter preserve) per person.
Calculator Pljeskavica Balkan Recipe per Person
Estimates ingredients for Balkan pljeskavica (large seasoned grilled patty beef pork lamb) per person.
Calculator Sarma Balkan Recipe per Person
Estimates ingredients for Balkan sarma (sour cabbage rolls meat rice filling slow oven) per person.
Calculator Moussaka Balkan Recipe per Person
Estimates ingredients for Balkan moussaka (layers potato eggplant ground meat bechamel baked) per person.
Calculator Tarator Balkan Recipe per Person
Estimates ingredients for Balkan tarator (cold cucumber yogurt garlic dill summer soup Bulgarian) per person.
Calculator Shopska Salad Balkan Recipe per Person
Estimates ingredients for Balkan shopska salad (tomato cucumber onion pepper sirene cheese Bulgarian) per person.
Calculator Kacamak Balkan Recipe per Person
Estimates ingredients for Balkan kacamak (corn flour polenta thick kajmak white cheese mountain) per person.
Calculator Zganci Balkan Recipe per Person
Estimates ingredients for Balkan zganci (buckwheat porridge Slovenian Croatian side dish) per person.
Calculator Tulumba Balkan Recipe per Person
Estimates ingredients for Balkan tulumba (fried choux dough sugar honey syrup Turkish Arab sweet) per person.
Calculator Rakija Balkan Beverage per Person
Estimates Balkan rakija fruit distillate sljivovica plum kruska pear kajsija apricot national Serbian toast quantities.
Calculator Greek Coffee Balkan Beverage per Person
Estimates Greek Balkan coffee ellinikos kafes briki copper pot fine grind hot sand coffee grounds reading quantities.
Calculator Co-op It Takes Two Completion Time
Estimates It Takes Two co-op Hazelight 2021 Cody May garden tower toy puzzles two player completion time.
Calculator Co-op A Way Out Completion Time
Estimates A Way Out co-op Hazelight 2018 Vincent Leo prison escape split screen narrative two player completion time.
Calculator Co-op Army Of Two Completion Time
Estimates Army of Two co-op EA Montreal 2008 Salem Rios PMC mercenaries tactical shooter modern war completion time.
Calculator Co-op Portal 2 Co-op Completion Time
Estimates Portal 2 co-op Valve 2011 Atlas P-body GLaDOS Aperture Science portal puzzles two player robots completion time.
Calculator Co-op Overcooked Completion Time
Estimates Overcooked co-op Ghost Town 2016 Team17 kitchen chaos cooperative 4 player chefs recipe time completion.
Calculator Co-op Overcooked 2 Completion Time
Estimates Overcooked 2 co-op Ghost Town 2018 Team17 expansions online multiplayer chefs kitchen cooperative completion time.
Calculator Co-op Moving Out Completion Time
Estimates Moving Out co-op SMG Studio DevM 2020 Team17 moving chaos furniture physics 4 player completion time.
Calculator Co-op Untitled Goose Game Completion Time
Estimates Untitled Goose Game co-op House House 2019 mischievous goose English village stealth puzzle two player time.
Calculator Co-op Dont Starve Together Completion Time
Estimates Dont Starve Together co-op Klei 2016 gothic Tim Burton survival wilderness hunger winter boss completion time.
Calculator Co-op Deep Rock Galactic 2 Completion Time
Estimates Deep Rock Galactic co-op Ghost Ship 2020 space dwarves miners procedural Hoxxes caves bug cooperative completion time.
Calculator Co-op Rocket Bridge Box By Box Completion Time
Estimates Pile Up Box By Box co-op Seed By Seed 2021 cardboard boxes platform puzzle 4 player cooperative completion time.
Calculator Co-op Keep Talking Nobody Explodes Completion Time
Estimates Keep Talking Nobody Explodes co-op Steel Crate 2015 bomb defusal manual verbal communication 2 player time.
Calculator Co-op Screencheat Completion Time
Estimates Screencheat co-op Samurai Punk 2014 FPS arena invisible players split screen look enemy screen completion time.
Calculator Hono Startup Time Project MB
Estimates cold start Hono framework project MB Node.js Bun Deno Cloudflare Workers Vercel Edge ultra fast TypeScript runtime time.
Calculator Hono Throughput RPS Routes
Estimates throughput RPS Hono framework routes Node Bun runtime benchmarks router performance max concurrent requests per second.
Calculator Hono Cloudflare Workers Throughput RPS
Estimates Hono Cloudflare Workers edge V8 isolate throughput global 250 cities CPU time 50ms ultra-low latency RPS.
Calculator Hono Deno Deploy Throughput RPS
Estimates Hono Deno Deploy edge serverless V8 isolate global 35 regions TypeScript native deno.json git deploy RPS.
Calculator Effect TS Throughput Tasks Per Second
Estimates Effect TS throughput tasks per second fiber runtime concurrent effect system functional TypeScript typed errors.
Calculator Effect TS Fiber Overhead MS
Estimates Effect TS fiber overhead milliseconds create yield interrupt switch fiber tree concurrency lightweight thread.
Calculator tRPC Throughput RPS Routes
Estimates tRPC throughput RPS procedures router Node Bun Edge end-to-end type safety zod validation client server fullstack RPS.
Calculator tRPC React Query Throughput RPS
Estimates tRPC TanStack React Query integration throughput RPS caching mutations queries optimistic SSR React Server Components.
Calculator tRPC React Router Throughput RPS
Estimates tRPC React Router 7 Remix loaders actions throughput RPS data type safe server client fullstack SSR streaming RPS.
Calculator Zod Validation Overhead NS
Estimates Zod schema validation overhead nanoseconds parse safeParse string number object array union TypeScript inference.
Calculator Valibot Validation Overhead NS
Estimates Valibot validation overhead nanoseconds modular tree-shakeable small bundle Zod alternative TypeScript inference.
Calculator ArkType Validation Overhead NS
Estimates ArkType validation overhead nanoseconds runtime types JIT compilation isomorphic TypeScript syntax embedded.
Calculator Interventional Cardio PTCA Procedure Time Per Person
Estimates percutaneous transluminal coronary angioplasty PTCA procedure time per person stent radial femoral catheterization hemodynamics.
Calculator Interventional Cardio PTCA Drug Eluting Stent Per Person
Estimates PTCA drug eluting stent DES per person polymer everolimus zotarolimus durability restenosis late thrombosis DAPT.
Calculator Interventional Cardio PTCA DES Drug Per Person
Estimates DES eluted drugs per person everolimus zotarolimus sirolimus biolimus paclitaxel mechanism action restenosis.
Calculator Interventional Cardio TAVI Procedure Time Per Person
Estimates transcatheter aortic valve implantation TAVI procedure time per person Edwards Sapien Medtronic CoreValve surgery risk.
Calculator Interventional Cardio MitraClip Procedure Time
Estimates MitraClip percutaneous mitral valve repair TEER edge to edge mitral regurgitation procedure surgery time.
Calculator Interventional Cardio Atrial Fibrillation Ablation Time
Estimates atrial fibrillation AF ablation time per person radiofrequency cryoablation electroanatomic mapping pulmonary vein isolation.
Calculator Interventional Cardio VT Tachycardia Ablation Time
Estimates ventricular tachycardia VT ablation time per person ischemic dilated scar endocardial epicardial substrate mapping.
Calculator Interventional Cardio Pacemaker Procedure Time
Estimates pacemaker implantation procedure time per person single dual chamber CRT resynchronization battery longevity generator.
Calculator Interventional Cardio ICD Procedure Time
Estimates ICD implantable cardioverter defibrillator procedure time per person primary secondary low EF shock pacing.
Calculator Interventional Cardio Rotational Atherectomy Radiofrequency Time
Estimates rotational atherectomy radiofrequency time per person rotablation cutting balloon calcification complex lesion PCI.
Calculator Interventional Cardio Cryoablation Procedure Time
Estimates cryoablation procedure time per person AF cryoballoon Arctic Front Medtronic pulmonary vein isolation PVI.
Calculator Interventional Cardio Laser Ablation Procedure Time
Estimates laser ablation procedure time per person excimer laser fiber coronary chronic CTO restenosis stent guide laser energy.
Calculator Berber Lamb Tagine Recipe per Person
Estimates ingredients for Berber lamb tagine (mutton spices ras el hanout preserved lemon olives onion almonds) per person.
Calculator Berber Chicken Tagine Recipe per Person
Estimates ingredients for Berber chicken tagine (chicken preserved lemon violet olives onion ginger saffron) per person.
Calculator Berber Vegetarian Tagine Recipe per Person
Estimates ingredients for Berber vegetarian tagine (root vegetables pumpkin carrot zucchini chickpeas spices) per person.
Calculator Berber Couscous Recipe per Person
Estimates ingredients for Berber couscous (semolina seven vegetables lamb chicken chickpeas caramelized onion) per person.
Calculator Berber Amlou Recipe per Person
Estimates ingredients for Berber amlou (almond argan oil honey paste traditional Moroccan breakfast spread) per person.
Calculator Berber Msemen Recipe per Person
Estimates ingredients for Berber msemen (square layered flatbread butter semolina traditional breakfast) per person.
Calculator Berber Baghrir Recipe per Person
Estimates ingredients for Berber baghrir (thousand holes pancake semolina yeast traditional breakfast honey butter) per person.
Calculator Berber Tafarnout Bread Recipe per Person
Estimates ingredients for Berber tafarnout (traditional clay oven wood fired bread olive whole wheat spices) per person.
Calculator Berber Tagra Recipe per Person
Estimates ingredients for Berber tagra (steamed lamb spices clay oven wood fired family feast traditional) per person.
Calculator Berber Pastilla Recipe per Person
Estimates ingredients for Berber pastilla (filo pie pigeon chicken almonds cinnamon powdered sugar festive) per person.
Calculator Berber Ouarka Dough per Person
Estimates ingredients for Berber ouarka (thin translucent filo dough handmade for pastilla briouates) per person.
Calculator Berber Mint Tea Recipe per Person
Estimates ingredients for Berber mint tea (gunpowder green tea fresh mint sugar silver teapot traditional) per person.
Calculator Berber Argan Oil Usage per Person
Estimates amount Berber argan oil traditional culinary cosmetic use Morocco women cooperatives Atlas Mountains per person.
Calculator Modern Shmup Enter the Gungeon Time
Estimates time to complete Enter the Gungeon (roguelike shmup Devolver Digital bullet hell rooms guns) game.
Calculator Modern Shmup Nuclear Throne Time
Estimates time to complete Nuclear Throne (roguelike top-down shmup Vlambeer mutations radiation post-apocalypse) game.
Calculator Modern Shmup Luftrausers Time
Estimates time to complete Luftrausers (arcade shmup Vlambeer plane flight submarine air base) game.
Calculator Modern Shmup Cuphead Time
Estimates time to complete Cuphead (run and gun shoot em up bosses 1930s cartoon Studio MDHR Delicious Last Course DLC) game.
Calculator Modern Shmup Jamestown Plus Time
Estimates time to complete Jamestown Plus (retro shmup co-op Final Form Games steampunk Mars colony) game.
Calculator Modern Shmup Resogun Time
Estimates time to complete Resogun (voxel shmup Housemarque PS4 launch Defender homage rescue citizens) game.
Calculator Modern Shmup Stardust Galaxy Warriors Time
Estimates time to complete Stardust Galaxy Warriors (co-op local shmup Dreamloop Games galaxy ships) game.
Calculator Modern Shmup Zenodyne Time
Estimates time to complete Zenodyne (retro pixel shmup Konami homage Bitwave Games arcade) game.
Calculator Modern Shmup Galaga Legions Time
Estimates time to complete Galaga Legions (modern Bandai Namco shmup Xbox 360 PSN classic homage) game.
Calculator Modern Shmup PixelJunk Shooter Time
Estimates time to complete PixelJunk Shooter (fluid shmup Q-Games PS3 exploring caves rescue scientists) game.
Calculator Modern Shmup Aero Fighters Time
Estimates time to complete Aero Fighters (Vietnam shmup Video System SNK arcade vertical scrolling planes) game.
Calculator Modern Shmup Ehrgeiz Time
Estimates time to complete Ehrgeiz (G-Mode arcade vertical scrolling shmup planes Japan classic modern) game.
Calculator Modern Shmup ZeroRanger Time
Estimates time to complete ZeroRanger (top down shmup System Erkki retro homage deep narrative) game.
Calculator Vite Startup Time Project MB
Estimates Vite dev server startup time project MB dependencies HMR esbuild pre-bundling native ES modules.
Calculator Vite Build Time Project MB
Estimates Vite production build time project MB Rollup tree shaking minify terser css optimization assets.
Calculator Vite HMR Time MS
Estimates Vite HMR hot module replacement time WebSocket native ES modules cache changes propagation.
Calculator Vite Bundle Size MB Deps
Estimates Vite production bundle size MB dependencies tree shaking chunks code splitting visualizer.
Calculator Webpack Build Time Project MB
Estimates Webpack production build time project MB loaders plugins minify css extraction optimization splitting.
Calculator Webpack Bundle Size MB Deps
Estimates Webpack production bundle size MB dependencies tree shaking chunks code splitting analyzer plugins.
Calculator Webpack HMR Time MS
Estimates Webpack dev server HMR hot module replacement time WebSocket changes propagation modules cache.
Calculator esbuild Build Time Project MB
Estimates esbuild bundle build time project MB Go native binary parallel 10x-100x faster than Webpack.
Calculator esbuild Bundle Size MB Deps
Estimates esbuild bundle size MB dependencies tree shaking minify ES modules splitting optional.
Calculator Rollup Build Time Project MB
Estimates Rollup production build time project MB tree shaking ES modules libraries plugins ecosystem.
Calculator Rollup Bundle Size MB Deps
Estimates Rollup bundle size MB dependencies tree shaking ES modules UMD ESM CJS formats libraries.
Calculator Turbopack Build Time Project MB
Estimates Turbopack build time project MB Vercel Rust native 10x faster Webpack Next.js future replacement.
Calculator Gyneco Menopause FSH Range per Person
Estimates FSH range menopause per person follicle stimulating hormone climacteric diagnostic indicator lab.
Calculator Gyneco Menopause LH Range per Person
Estimates LH range menopause per person luteinizing hormone climacteric diagnostic indicator lab reproduction.
Calculator Gyneco Menopause Estradiol Range per Person
Estimates estradiol range menopause per person primary female hormone low climacteric diagnostic lab.
Calculator Gyneco Menopause Progesterone Range per Person
Estimates progesterone range menopause per person low progestin climacteric diagnostic lab.
Calculator Gyneco Menopause AMH Range per Person
Estimates AMH range menopause per person anti-mullerian hormone ovarian reserve low climacteric prediction.
Calculator Gyneco Menopause Tibolone Dose MG per Day
Estimates tibolone dose MG per person day menopause therapy hormone vasomotor symptoms Tibolone Livial.
Calculator Gyneco Menopause Estradiol Dose MG per Day
Estimates estradiol dose MG per person day menopause therapy hormone MHT oral patch gel symptoms.
Calculator Gyneco Menopause Progesterone Dose MG per Day
Estimates progesterone dose MG per person day menopause therapy progestin cyclic continuous endometrial protection.
Calculator Gyneco Menopause Tibolone Monthly Dose per Person
Estimates tibolone monthly dose per person menopause therapy total month consumption Livial pharmacy follow up.
Calculator Gyneco Menopause MHT Dose MG per Month
Estimates MHT menopausal hormone therapy dose MG per person monthly estrogen progestin combination.
Calculator Gyneco Menopause MNS Target Score per Person
Estimates MNS menopausal nature score target per person quality life climacteric symptoms follow up.
Calculator Gyneco Menopause Bone Mineral Density per Person
Estimates bone mineral density per person menopause T-score Z-score DEXA osteoporosis fracture risk treatment.
Calculator Caribbean Venezuelan Tequenos Recipe per Person
Estimates ingredients for Caribbean Venezuelan tequenos (white cheese puff pastry fried party snack) per person.
Calculator Caribbean Venezuelan Cachapa Recipe per Person
Estimates ingredients for Caribbean Venezuelan cachapa (sweet corn pancake guayanes cheese butter) per person.
Calculator Caribbean Venezuelan Arepa Rellena Recipe per Person
Estimates ingredients for Caribbean Venezuelan arepa rellena (corn dough filled reina pepiada perico shredded beef) per person.
Calculator Caribbean Venezuelan Coconut Rice Recipe per Person
Estimates ingredients for Caribbean Venezuelan coconut rice (rice coconut milk raisins seafood side) per person.
Calculator Caribbean Venezuelan Asado Negro Recipe per Person
Estimates ingredients for Caribbean Venezuelan asado negro (eye round papelon red wine onion garlic) per person.
Calculator Caribbean Venezuelan Roast Pork Leg Recipe per Person
Estimates ingredients for Caribbean Venezuelan pernil asado (roast pork leg white wine garlic oregano Christmas) per person.
Calculator Caribbean Venezuelan Andean Empanada Recipe per Person
Estimates ingredients for Caribbean Venezuelan empanada andina (fried corn dough meat cheese chicken filling) per person.
Calculator Caribbean Venezuelan Pasticho Recipe per Person
Estimates ingredients for Caribbean Venezuelan pasticho (lasagna bolognese bechamel cheese baked) per person.
Calculator Caribbean Venezuelan Bollo Pelon Recipe per Person
Estimates ingredients for Caribbean Venezuelan bollo pelon (corn dumpling stuffed beef tomato sauce onion) per person.
Calculator Caribbean Venezuelan Hallaca Recipe per Person
Estimates ingredients for Caribbean Venezuelan hallaca (Christmas tamale corn dough pork chicken olives raisins banana leaf) per person.
Calculator Caribbean Venezuelan Pan de Jamon Recipe per Person
Estimates ingredients for Caribbean Venezuelan pan de jamon (Christmas bread ham olives raisins bacon) per person.
Calculator Caribbean Venezuelan Quesillo Recipe per Person
Estimates ingredients for Caribbean Venezuelan quesillo (caramel custard sweetened condensed milk eggs baked) per person.
Calculator Caribbean Venezuelan Andean Chicha Drink per Person
Estimates ingredients for Caribbean Venezuelan andean chicha (rice milk cinnamon clove traditional drink) per person.
Calculator FIFA 2025 Season Completion Time
Estimates time to complete FIFA 25 EA Sports career mode FUT pro clubs Ultimate Team season.
Calculator FIFA Mobile Season Completion Time
Estimates time to complete FIFA Mobile EA Sports season events VS attack manager mode packs.
Calculator FIFA Volta 2025 Completion Time
Estimates time to complete FIFA Volta street football mode avatar customization squad battles.
Calculator PES Mobile Season Completion Time
Estimates time to complete eFootball PES Mobile Konami events missions packs scout.
Calculator Football Manager Mobile Completion Time
Estimates time to complete Football Manager Mobile FM SI Games tactics transfers training season.
Calculator Soccer Club Empire Completion Time
Estimates time to complete Soccer Club Empire mobile club manager stadium building players.
Calculator Soccer Stars Season Completion Time
Estimates time to complete Soccer Stars Miniclip physics button game 1v1 multiplayer ranking tournaments.
Calculator Real Football Season Completion Time
Estimates time to complete Real Football Gameloft mobile career player team seasons.
Calculator Dream League Soccer Season Completion Time
Estimates time to complete Dream League Soccer First Touch Games mobile career divisions scout team.
Calculator Score Hero Season Completion Time
Estimates time to complete Score Hero First Touch Games mobile levels stars single player career.
Calculator Top Eleven Season Completion Time
Estimates time to complete Top Eleven Nordeus mobile manager coach club tournaments leagues association.
Calculator FIFA Companion App Completion Time
Estimates time to complete FIFA Companion App EA Sports FUT management packs objectives SBC.
Calculator PES myClub Mobile Completion Time
Estimates time to complete PES myClub mobile Konami coach team tournaments events packs scouts.
Calculator Nx Build Time Project MB
Estimates Nx Nrwl monorepo build time project MB workspace task pipeline cache distributed local.
Calculator Nx Affected Time Project Packages
Estimates Nx affected commands time monorepo projects packages dependency graph subset.
Calculator Nx Cache Overhead MB
Estimates Nx local distributed Nx Cloud cache overhead MB tasks output artifacts.
Calculator Turborepo Build Time Project MB
Estimates Turborepo Vercel monorepo build time project MB pipeline cache remote local Turbo.
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Estimates Turborepo filter affected packages time monorepo dependencies scope subset.
Calculator Turborepo Cache Overhead MB
Estimates Turborepo local remote Vercel cache overhead MB tasks output artifacts hash.
Calculator Bazel Build Time Project MB
Estimates Bazel Google monorepo build time project MB BUILD targets workspaces hermetic remote.
Calculator Bazel Incremental Build Time Project
Estimates Bazel incremental build time cache hits affected targets BUILD WORKSPACE changes.
Calculator Bazel Cache Overhead MB
Estimates Bazel disk repository remote BuildBuddy cache overhead MB actions outputs.
Calculator Rush Build Time Project MB
Estimates Rush Microsoft monorepo build time project MB rush.json pnpm phantom dependencies install.
Calculator pnpm Workspaces Install Time Project
Estimates pnpm workspaces install time monorepo project packages lockfile content addressable.
Calculator Lerna Publish Time Project Packages
Estimates Lerna Nx monorepo publish time project packages versioning independent fixed registry.
Calculator Hemato Coag PT Prothrombin Time per Person
Estimates prothrombin time PT per person extrinsic pathway factor VII tissue factor INR seconds.
Calculator Hemato Coag aPTT per Person Range
Estimates aPTT activated partial thromboplastin time per person intrinsic factors VIII IX XI XII heparin.
Calculator Hemato Coag INR Formula per Person
Estimates INR international normalized ratio per person ISI formula thromboplastin warfarin anticoagulation.
Calculator Hemato Coag TT Thrombin Time per Person
Estimates thrombin time TT per person fibrinogen fibrin conversion heparin contamination.
Calculator Hemato Coag Fibrinogen per Person Range
Estimates plasma fibrinogen per person Clauss factor I thrombin fibrin conversion DIC.
Calculator Hemato Coag D-Dimer per Person Range
Estimates plasma D-dimer per person fibrin degradation DVT PE DIC quantitative ELISA.
Calculator Hemato Coag Anti Xa Warfarin per Person
Estimates anti Xa per person warfarin anticoagulation INR monitoring dose adjustment.
Calculator Hemato Coag LMWH Anti Xa per Person
Estimates anti Xa per person LMWH low molecular weight heparin enoxaparin therapeutic prophylactic dose.
Calculator Hemato Coag Heparin Anti Xa per Person
Estimates anti Xa per person unfractionated heparin UFH aPTT pump infusion adjustment protocol.
Calculator Hemato Coag Factor VIII per Person Range
Estimates factor VIII activity per person hemophilia A replacement deficiency inhibitor titration.
Calculator Hemato Coag Factor IX per Person Range
Estimates factor IX activity per person hemophilia B Christmas disease replacement deficiency.
Calculator Hemato Coag Factor vW per Person Range
Estimates von Willebrand factor per person vWD types 1 2 3 antigen activity ristocetin.
Calculator Portuguese Bacalhau a Zezere Recipe per Person
Estimates ingredients for regional Portuguese bacalhau a Zezere (codfish breadcrumbs olive oil garlic) per person.
Calculator Portuguese Duck Rice Recipe per Person Quantity
Estimates ingredients for regional Portuguese duck rice (duck chorizo bacon rice broth) per person.
Calculator Portuguese Bairrada Suckling Pig Recipe per Person
Estimates ingredients for regional Portuguese Bairrada suckling pig (piglet garlic lard pepper salt) per person.
Calculator Portuguese Sarrabulho Papas Recipe per Person
Estimates ingredients for regional Portuguese Minho sarrabulho papas (pork blood cumin breadcrumbs) per person.
Calculator Portuguese Cabidela Recipe per Person Quantity
Estimates ingredients for regional Portuguese cabidela rice (chicken blood vinegar rice onion garlic) per person.
Calculator Portuguese Aveiro Stew Recipe per Person
Estimates ingredients for regional Portuguese Aveiro stew (pork meats sausages cabbage potato carrot) per person.
Calculator Portuguese Transmontana Bean Stew Recipe per Person
Estimates ingredients for regional Portuguese Transmontana bean stew (white beans chorizo pig parts) per person.
Calculator Portuguese Alentejana Bread Soup Recipe per Person
Estimates ingredients for regional Portuguese Alentejana bread soup (bread garlic coriander olive oil egg) per person.
Calculator Portuguese Migas Recipe per Person Quantity
Estimates ingredients for regional Portuguese Alentejo migas (bread olive oil garlic lard pork) per person.
Calculator Portuguese Iscas Recipe per Person
Estimates ingredients for regional Portuguese Lisbon iscas (beef liver red wine garlic bay potato) per person.
Calculator Portuguese Pasteis de Belem Recipe per Person Quantity
Estimates ingredients for regional Portuguese pasteis de Belem (puff pastry egg yolks sugar milk cinnamon) per person.
Calculator Portuguese Pao de Lo Recipe per Person Quantity
Estimates ingredients for regional Portuguese Ovar pao de lo (egg yolks whites sugar flour oven) per person.
Calculator Portuguese Aguardente Beverage per Person
Estimates regional Portuguese aguardente beverage quantity (grape pomace strawberry tree alcohol) per person.
Calculator Puzzle Platformer Braid Completion Time
Estimates completion time for Braid puzzle platformer (time manipulation worlds stars Jonathan Blow).
Calculator Puzzle Platformer Fez Completion Time
Estimates completion time for Fez puzzle platformer (2D 3D Gomez perspective cubes Polytron).
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Estimates completion time for Limbo puzzle platformer (silhouette child forest Playdead dark atmosphere).
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Estimates completion time for Inside puzzle platformer (Limbo successor Playdead mysterious corporation).
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Estimates completion time for Little Nightmares puzzle platformer (Six Maw horror Tarsier Studios).
Calculator Puzzle Platformer Little Nightmares 2 Time
Estimates completion time for Little Nightmares 2 puzzle platformer (Mono Six Thin Man Pale City horror).
Calculator Puzzle Platformer Trine Completion Time
Estimates completion time for Trine puzzle platformer (Pontius Amadeus Zoya wizard knight thief Frozenbyte).
Calculator Puzzle Platformer Trine 2 Completion Time
Estimates completion time for Trine 2 puzzle platformer (three heroes physics magic Frozenbyte sequel).
Calculator Puzzle Platformer Trine 3 Completion Time
Estimates completion time for Trine 3 puzzle platformer (Artifacts of Power 3D Frozenbyte adventure).
Calculator Puzzle Platformer Trine 4 Completion Time
Estimates completion time for Trine 4 puzzle platformer (Nightmare Prince 2.5D Frozenbyte return).
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Estimates completion time for The Witness 2 puzzle island mazes Jonathan Blow Thekla sequel.
Calculator Puzzle Platformer The Bridge Completion Time
Estimates completion time for The Bridge puzzle platformer (Escher gravity rotation Quantum Astrophysicists Guild).
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Estimates completion time for Poly Bridge puzzle bridge building physics Dry Cactus engineering.
Calculator Terraform Startup Time Project MB
Estimates Terraform startup time HCL project providers init plugin cache MB IaC HashiCorp.
Calculator Terraform Apply Time Resources
Estimates terraform apply time AWS Azure GCP resources create update destroy parallelism HashiCorp.
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Calculator Terraform State Size MB
Estimates terraform tfstate JSON resources remote backend S3 GCS Azurerm KMS encryption size MB.
Calculator Pulumi Startup Time Project MB
Estimates Pulumi startup time project stack Python TS Go .NET providers download cache MB.
Calculator Pulumi Up Time Resources
Estimates pulumi up time AWS Azure GCP resources create update concurrent Pulumi Cloud parallelism.
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Estimates Pulumi checkpoint state JSON gzip resources Pulumi Cloud backend self-hosted size MB.
Calculator AWS CDK CloudFormation Deploy Time Resources
Estimates AWS CDK synth CloudFormation stack deploy time CFN nested change set rollback resources.
Calculator CDKTF Deploy Time Resources
Estimates CDK for Terraform deploy time resources synth multi-cloud providers HashiCorp Terraform.
Calculator Ansible Playbook Time Tasks
Estimates Ansible playbook execution time tasks hosts forks SSH gather facts handlers RedHat.
Calculator Chef Runtime Time Recipes
Estimates Chef recipes execution time cookbook runlist convergence resources Progress Chef Infra.
Calculator Endo Pituitary TSH per Person Range v2
Estimates TSH thyroid stimulating hormone per person central hypothyroidism hypopituitarism HPT axis v2.
Calculator Endo Pituitary Prolactin per Person Range
Estimates prolactin per person hyperprolactinemia prolactinoma macroadenoma microadenoma cabergoline pituitary.
Calculator Endo Pituitary GH per Person Range
Estimates growth hormone GH per person acromegaly gigantism GHD deficiency adult child pituitary.
Calculator Endo Pituitary IGF-1 per Person Range
Estimates IGF-1 somatomedin C per person age acromegaly GHD diagnosis monitoring somatotropic axis.
Calculator Endo Pituitary ACTH per Person Range v2
Estimates ACTH adrenocorticotropic per person Cushing Addison central hypopituitarism differentiation v2.
Calculator Endo Pituitary Cortisol per Person Range v2
Estimates morning cortisol per person HPA axis adrenal insufficiency Cushing dexamethasone suppression v2.
Calculator Endo Pituitary FSH LH per Person Range
Estimates FSH LH gonadotropins per person central primary hypogonadism menopause puberty HPG axis.
Calculator Endo Pituitary Testosterone per Person Range
Estimates total free testosterone per person male hypogonadism replacement monitoring gel injectable.
Calculator Endo Pituitary Estradiol per Person Range
Estimates estradiol E2 per person menstrual cycle menopause replacement therapy female gonadal axis.
Calculator Endo Pituitary ACTH Stimulation per Person
Estimates ACTH cosyntropin stimulation test per person primary secondary adrenal insufficiency cortisol.
Calculator Endo Pituitary Insulin Tolerance per Person
Estimates insulin tolerance test ITT per person hypoglycemia cortisol GH pituitary reserve contraindications.
Calculator Endo Pituitary Water Deprivation per Person
Estimates water deprivation test per person diabetes insipidus central nephrogenic ADH osmolality desmopressin.
Calculator Recipe Iberian Lamb per Person Quantity
Estimates roasted Iberian lamb traditional people quantity ingredients garnish oven time fat.
Calculator Recipe Iberian Cochinillo per Person Quantity
Estimates Iberian suckling pig roasted people quantity ingredients crispy skin oven.
Calculator Recipe Iberian Fabada per Person Quantity
Estimates fabada asturiana white beans chorizo morcilla pancetta people quantity ingredients.
Calculator Recipe Iberian Callos per Person Quantity
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Estimates Valencian paella seafood mixed people quantity rice saffron ingredients pan.
Calculator Recipe Iberian Cured Jamon per Person Quantity
Estimates Iberian jamon bellota traditional cure people quantity slices grams board appetizer.
Calculator Recipe Iberian Chorizo per Person Quantity
Estimates Iberian chorizo spicy sweet people quantity slices grams garnish tapas barbecue.
Calculator Recipe Iberian Morcilla per Person Quantity
Estimates Iberian morcilla burgos rice people quantity slices grams grill garnish tapas.
Calculator Recipe Iberian Black Rice per Person Quantity
Estimates Iberian black rice squid ink people quantity ingredients pan paella variant.
Calculator Recipe Iberian Fideua per Person Quantity
Estimates Catalan fideua short pasta fish people quantity ingredients alioli paella variant.
Calculator Recipe Iberian Crema Catalana per Person Quantity
Estimates Crema Catalana dessert custard caramelized sugar people quantity ingredients.
Calculator Recipe Iberian Leche Frita per Person Quantity
Estimates Leche Frita traditional Iberian dessert people quantity ingredients cinnamon milk sugar.
Calculator Recipe Iberian Orujo Drink per Person
Estimates Iberian Galician orujo brandy people digestive doses ml alcoholic content.
Calculator Arcade Pacman Time to Complete
Estimates time to complete classic Pacman arcade levels stages score kill screen 256.
Calculator Arcade Galaga Time to Complete
Estimates time to complete classic Galaga arcade stages waves challenge dual ship bonus.
Calculator Arcade Donkey Kong Time to Complete
Estimates time to complete classic Donkey Kong arcade Mario Jumpman barrel ramp elevator.
Calculator Arcade Frogger Time to Complete
Estimates time to complete classic Frogger arcade road river logs turtles cross levels.
Calculator Arcade Defender Time to Complete
Estimates time to complete classic Defender arcade ship lander mutant baiter pod swarmer.
Calculator Arcade Centipede Time to Complete
Estimates time to complete classic Centipede arcade mushrooms spider scorpion trackball.
Calculator Arcade Missile Command Time to Complete
Estimates time to complete classic Missile Command arcade cities missiles defense trackball.
Calculator Arcade Asteroids Time to Complete
Estimates time to complete classic Asteroids arcade vector ship rocks UFO hyperspace.
Calculator Arcade Pole Position Time to Complete
Estimates time to complete classic Pole Position arcade race Fuji qualifying lap time.
Calculator Arcade Q-bert Time to Complete
Estimates time to complete classic Q-bert arcade pyramid cubes colors Coily Slick Sam Ugg.
Calculator Arcade BurgerTime Time to Complete
Estimates time to complete classic BurgerTime arcade burger chef Peter Pepper enemies.
Calculator Arcade Dig Dug Time to Complete
Estimates time to complete classic Dig Dug arcade dig pump Pooka Fygar rocks tunnels.
Calculator Arcade Mario Bros Time to Complete
Estimates time to complete classic Mario Bros arcade stages POW crab turtle fly.
Calculator Cypress Project Startup Time
Estimates Cypress E2E startup time project plugins config workers spec files opening.
Calculator Cypress Tests per Second Throughput
Estimates Cypress tests per second throughput parallelism workers retry custom commands session.
Calculator Cypress Spec Time Overhead
Estimates Cypress per spec overhead startup browser preload config hooks before each spec.
Calculator Playwright Project Startup Time
Estimates Playwright E2E startup time project fixtures workers config browsers chromium webkit.
Calculator Playwright Tests per Second Throughput
Estimates Playwright tests per second throughput parallelism workers shards retries trace video.
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Estimates Playwright per spec overhead browser context fixtures setup teardown hooks before.
Calculator Selenium Project Startup Time
Estimates Selenium WebDriver startup time project grid hub node drivers chrome firefox edge.
Calculator Selenium Tests per Second Throughput
Estimates Selenium tests per second throughput grid parallelism nodes hub session capabilities.
Calculator Puppeteer Project Startup Time
Estimates Puppeteer startup time project headless chromium browser launch context page.
Calculator Puppeteer Tests per Second Throughput
Estimates Puppeteer tests per second throughput cluster workers reuse browser page navigation.
Calculator WebdriverIO Tests per Second Throughput
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Calculator TestCafe Tests per Second Throughput
Estimates TestCafe tests per second throughput concurrency browsers parallelism selectors smart waiting.
Calculator General Surgery Appendectomy Recovery Time per Person
Estimates appendectomy laparoscopic open recovery time per person return activities pain dressing.
Calculator General Surgery Cholecystectomy Recovery Time per Person
Estimates cholecystectomy laparoscopic gallbladder recovery time per person diet return work.
Calculator General Surgery Inguinal Hernia Recovery Time per Person
Estimates inguinal hernioplasty mesh Lichtenstein recovery time per person effort rest.
Calculator General Surgery Umbilical Hernia Recovery Time per Person
Estimates umbilical hernia repair mesh recovery time per person effort dressing return.
Calculator General Surgery Incisional Hernia Recovery Time per Person
Estimates incisional ventral hernia repair mesh recovery time per person effort rest.
Calculator General Surgery Thyroidectomy Recovery Time per Person
Estimates total partial thyroidectomy recovery time per person voice drain levothyroxine replacement.
Calculator General Surgery Parathyroidectomy Recovery Time per Person
Estimates parathyroidectomy hyperparathyroidism recovery time per person calcium PTH replacement.
Calculator General Surgery Adrenalectomy Recovery Time per Person
Estimates laparoscopic adrenalectomy recovery time per person cortisol replacement followup.
Calculator General Surgery Pancreatectomy Recovery Time per Person
Estimates partial total pancreatectomy recovery time per person diet enzymes insulin drain.
Calculator General Surgery Splenectomy Recovery Time per Person
Estimates laparoscopic open splenectomy recovery time per person vaccination prophylaxis return.
Calculator General Surgery Colectomy Recovery Time per Person
Estimates partial total laparoscopic colectomy recovery time per person diet ostomy return.
Calculator General Surgery Gastrectomy Recovery Time per Person
Estimates partial total bariatric gastrectomy recovery time per person diet liquid soft return.
Calculator French Bouillabaisse Marseille Recipe per Person
Estimates Marseille bouillabaisse rouille croutons rock fish saffron per person French Provence.
Calculator French Cassoulet Toulouse Recipe per Person
Estimates Toulouse cassoulet confit white beans sausage per person French Occitanie cuisine.
Calculator French Choucroute Alsace Recipe per Person
Estimates Alsace choucroute fermented cabbage sausages potatoes per person French cuisine.
Calculator French Aligot Occitanie Recipe per Person
Estimates Occitanie aligot potato fresh tomme garlic per person French cuisine.
Calculator Confit de Canard Perigord Recipe per Person
Estimates Perigord confit duck leg fat coarse salt per person French Sud-Ouest cuisine.
Calculator French Tarte Tatin Lyon Recipe per Person
Estimates Lyon tarte Tatin apples caramel butter pastry per person French cuisine.
Calculator French Quenelles Lyon Recipe per Person
Estimates Lyon quenelles pike panada butter Nantua sauce per person French cuisine.
Calculator Foie Gras Perigord Recipe per Person
Estimates Perigord foie gras terrine toast figs per person French Sud-Ouest cuisine.
Calculator Coq au Vin Bourgogne Recipe per Person
Estimates Bourgogne coq au vin rooster red wine bacon mushrooms per person French cuisine.
Calculator Clafoutis Limousin Recipe per Person
Estimates Limousin clafoutis black cherry creamy batter sugar per person French cuisine.
Calculator Galette Bretonne Recipe per Person
Estimates Bretagne galette buckwheat ham egg cheese cider per person French cuisine.
Calculator Pissaladiere Cote dAzur Recipe per Person
Estimates Cote dAzur pissaladiere caramelized onion anchovy olive per person French cuisine.
Calculator Pastis Marseille Drink Recipe
Estimates Marseille pastis anise liqueur water ice cube per person French Provence drink.
Calculator Modern Metroidvania Hollow Knight Time
Estimates time to complete Hollow Knight modern metroidvania map percent charms bosses.
Calculator Modern Metroidvania Bloodstained Time
Estimates time to complete Bloodstained Ritual Night map shards bosses platinum.
Calculator Modern Metroidvania Axiom Verge 2 Time
Estimates time to complete Axiom Verge 2 metroidvania map abilities hacks bosses.
Calculator Modern Metroidvania Ori Blind Forest Time
Estimates time to complete Ori Blind Forest map abilities life fragments shards.
Calculator Modern Metroidvania Ori Will of the Wisps Time
Estimates time to complete Ori Will of the Wisps map abilities shards bosses.
Calculator Modern Metroidvania Blasphemous Time Complete Extras
Estimates time to complete Blasphemous map relics bosses brotherhood DLC extras.
Calculator Modern Metroidvania Grime Time Complete
Estimates time to complete Grime metroidvania map abilities parry bosses platinum.
Calculator Modern Metroidvania Prince of Persia Lost Crown Time
Estimates time to complete Prince of Persia Lost Crown map abilities amulets bosses.
Calculator Modern Metroidvania Record of Lodoss Deedlit Time
Estimates time to complete Record of Lodoss Deedlit map abilities accessories bosses.
Calculator Modern Metroidvania Lost Ruins Time
Estimates time to complete Lost Ruins map abilities spells bosses platinum.
Calculator Modern Metroidvania Elderand Time
Estimates time to complete Elderand metroidvania map abilities potions bosses platinum.
Calculator Modern Metroidvania Yoku Island Express Time
Estimates time to complete Yoku Island Express pinball map collectibles bosses.
Calculator Modern Metroidvania Foretales Time
Estimates time to complete Foretales card adventure map cards decisions endings.
Calculator Vitest Throughput Tests per Second
Estimates Vitest tests per second throughput parallelism threads workers cache watch mode.
Calculator Vitest Overhead Time per Spec
Estimates Vitest overhead per spec setup teardown mocks imports ESM SWC.
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Estimates Vitest coverage overhead time instrumentation v8 istanbul reporters lcov.
Calculator Jest Throughput Tests per Second
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Calculator Jest Overhead Time per Spec
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Calculator Jest Coverage Overhead Time
Estimates Jest coverage overhead time istanbul reporters lcov clover ignored files.
Calculator Mocha Throughput Tests per Second
Estimates Mocha tests per second throughput reporters parallel timeout retries hooks.
Calculator Mocha Overhead Time per Spec
Estimates Mocha overhead per spec hooks beforeEach afterEach requires imports.
Calculator AVA Throughput Tests per Second
Estimates AVA tests per second throughput parallelism isolated workers concurrent serial.
Calculator node-tap Throughput Tests per Second
Estimates node-tap tests per second TAP14 parallelism coverage timeouts plan.
Calculator Bun Test Throughput Tests per Second 2
Estimates bun test tests per second native runner snapshots mocks performance.
Calculator Deno Test Throughput Tests per Second 2
Estimates deno test tests per second native runner permissions imports ESM.
Calculator Neuro Movement Parkinson Patient Staging
Estimates Parkinson patient staging Hoehn Yahr MDS-UPDRS rigidity bradykinesia tremor.
Calculator Neuro Parkinson Levodopa Dose mg per Patient
Estimates levodopa mg dose per patient Parkinson carbidopa equivalent daily titration.
Calculator Neuro Parkinson Pramipexole Dose mg per Patient
Estimates pramipexole mg dose per patient Parkinson dopamine agonist titration renal.
Calculator Neuro Parkinson Rotigotine Dose mg per Patient
Estimates rotigotine mg dose per patient Parkinson transdermal patch 24h titration.
Calculator Neuro Dystonia Patient Type
Estimates dystonia patient classification type focal segmental generalized age onset.
Calculator Neuro Dystonia Botulinum Toxin Dose per Patient
Estimates botulinum toxin dose per patient dystonia cervical blepharospasm units muscles.
Calculator Neuro Tremor Patient Essential Type
Estimates tremor patient type essential rest postural intention frequency.
Calculator Neuro Tremor Propranolol Dose mg per Patient
Estimates propranolol mg dose per patient essential tremor titration beta blocker.
Calculator Neuro Chorea Patient Type
Estimates chorea patient classification type Huntington Sydenham hereditary UHDRS scale.
Calculator Neuro Myoclonus Patient Type
Estimates myoclonus patient classification type cortical subcortical spinal peripheral origin.
Calculator Neuro Tourette Syndrome Patient Criteria
Estimates Tourette diagnosis criteria patient motor vocal tics duration YGTSS scale.
Calculator Neuro Tics Patient Criteria
Estimates tics diagnostic criteria patient motor vocal transient chronic scale.
Calculator German Sauerbraten Recipe per Person Quantity
Estimates German sauerbraten marinated beef vinegar wine cloves bay leaf per person portion.
Calculator German Bratwurst Recipe per Person Quantity
Estimates German bratwurst grilled sausage sauerkraut mustard bun per person portion.
Calculator German Currywurst Recipe per Person Quantity
Estimates German currywurst Berlin sausage curry ketchup sauce fries per person portion.
Calculator German Spaetzle Recipe per Person Quantity
Estimates German spaetzle homemade egg noodles flour butter cheese per person portion.
Calculator German Knodel Recipe per Person Quantity
Estimates German knodel potato bread dumpling parsley butter per person portion Bavaria.
Calculator German Eintopf Recipe per Person Quantity
Estimates German eintopf stew soup vegetables potato sausage beans per person portion.
Calculator German Rouladen Recipe per Person
Estimates German rouladen beef roll bacon pickle onion mustard per person portion.
Calculator German Schnitzel Recipe per Person Quantity
Estimates German schnitzel veal pork breaded lemon potatoes salad per person portion.
Calculator German Leberkase Recipe per Person Quantity
Estimates German leberkase Bavarian meat loaf mustard bun per person portion.
Calculator German Streusel Recipe per Person Quantity
Estimates German streusel crumb topping butter sugar cinnamon cake fruit per person portion.
Calculator German Stollen Recipe per Person Quantity
Estimates German Stollen Dresden Christmas bread fruit marzipan powdered sugar per person.
Calculator German Gluhwein Drink Recipe per Person
Estimates German Gluhwein mulled wine spices cinnamon cloves orange per person drink.
Calculator German Jagermeister Drink Recipe per Person
Estimates German Jagermeister herbal liqueur shot drinks per person party drink.
Calculator Hardcore Celeste Time to Complete C-Side
Estimates total time to complete all Celeste C-Sides hardcore platformer deaths percentage.
Calculator Hardcore Cuphead Time to Complete 100 Percent
Estimates total time to complete Cuphead 100 percent bosses run gun hardcore.
Calculator Hardcore Super Meat Boy Time to Complete
Estimates time to complete Super Meat Boy all levels dark world bandage girl hardcore.
Calculator Hardcore I Wanna Be The Guy Time
Estimates time to complete I Wanna Be The Guy troll game hard hardcore platformer indie.
Calculator Hardcore Getting Over It Time to Complete
Estimates total time to complete Getting Over It Bennett Foddy hammer mountain hardcore.
Calculator Hardcore Jump King Time to Complete
Estimates total time to complete Jump King foddian platformer precise jump fall hardcore.
Calculator Hardcore Only Up Time to Complete
Estimates total time to complete Only Up vertical parkour Jenny meme foddian hardcore.
Calculator Hardcore Pogostuck Time to Complete
Estimates total time to complete Pogostuck rage with your friends foddian pogo hardcore.
Calculator Hardcore Foddian Tower of Babel Time
Estimates time to complete Tower of Babel foddian genre precise climbing hardcore platformer.
Calculator Hardcore Cat Mario Time to Complete
Estimates time to complete Cat Mario syobon action troll game surprise levels hardcore.
Calculator Hardcore Cuphead DLC Time to Complete
Estimates time to complete Cuphead DLC Delicious Last Course bosses Ms Chalice hardcore.
Calculator Hardcore Furi Time to Complete
Estimates time to complete Furi all bosses jailers furier mode hardcore action.
Calculator Hardcore Anomaly Agent Time to Complete
Estimates time to complete Anomaly Agent platformer hardcore pixel art indie bosses.
Calculator Bazel Actions Build Time Project
Estimates Bazel actions build time targets project Java Go Python remote execution.
Calculator Bazel Cache Hit Rate Project Type
Estimates Bazel cache hit rate project type remote local action disk percentage efficiency.
Calculator Bazel Remote Cache Overhead MB
Estimates Bazel remote cache overhead MB transfer network latency upload download artifacts.
Calculator Buck2 Build Time Project MB
Estimates Buck2 build time project MB rust meta starlark targets actions parallelism.
Calculator Buck2 Cache Overhead MB
Estimates Buck2 cache overhead MB local remote dep files action cache transfer.
Calculator Buck2 Incremental Time Project
Estimates Buck2 incremental build time project change dep graph rebuild affected targets.
Calculator Pants Build Time Project MB
Estimates Pants build time project MB monorepo python scala BUILD targets pantsd.
Calculator Pants Cache Overhead MB
Estimates Pants cache overhead MB local remote process executor lmdb transfer pantsd.
Calculator Pants Incremental Time Project
Estimates Pants incremental build time project change file watcher rebuild affected targets pantsd.
Calculator Meson Build Time Project MB
Estimates Meson build time project MB ninja backend python configure compile linker.
Calculator CMake Build Time Project MB
Estimates CMake build time project MB make ninja msvc configure generate compile linker.
Calculator Ninja Build Time Project MB
Estimates Ninja build time project MB build.ninja graph parallel jobs compile linker.
Calculator Cardio Heart Transplant Recovery Time Months
Estimates heart transplant recovery time months patient rejection rehabilitation immunosuppression.
Calculator Cardio Heart Lung Transplant Recovery Time
Estimates heart lung block transplant recovery time patient rejection immunosuppression.
Calculator Cardio Heart Transplant Immunosuppressant per Patient
Estimates heart transplant immunosuppressant regimen patient induction maintenance calcineurin mtor.
Calculator Cardio Heart Transplant Tacrolimus Dose mg per Patient
Estimates tacrolimus mg dose patient heart transplant trough level C0 maintenance calcineurin.
Calculator Cardio Heart Transplant Cyclosporine Dose mg per Patient
Estimates cyclosporine mg dose patient heart transplant trough C0 C2 maintenance calcineurin.
Calculator Cardio Heart Transplant MMF Dose mg per Patient
Estimates mycophenolate mofetil MMF mg dose patient heart transplant maintenance antiproliferative.
Calculator Cardio Heart Transplant Everolimus Dose mg per Patient
Estimates everolimus mg dose patient heart transplant mtor inhibitor maintenance CAV prevention.
Calculator Cardio Heart Transplant Rejection Banff per Patient
Estimates cardiac rejection Banff ISHLT grade patient endomyocardial biopsy cellular humoral.
Calculator Cardio Heart Transplant Annual Monitor Time per Patient
Estimates annual monitoring frequency heart transplant patient echo lab catheterization.
Calculator Cardio Heart Transplant Biopsy Schedule per Patient
Estimates endomyocardial biopsy schedule patient heart transplant first year surveillance rejection.
Calculator Cardio VAD Transplant Bridge Package Time per Patient
Estimates ventricular assist device VAD bridge package time patient battery controller exchange.
Calculator Cardio VAD Transplant Immunosuppressant per Patient
Estimates post transplant immunosuppressant regimen after VAD bridge patient HLA sensitization risk.
Calculator Milanese Osso Buco Recipe per Person Quantity
Estimates Milanese osso buco veal shank saffron gremolata risotto per person portion.
Calculator Milanese Risotto Recipe per Person Quantity
Estimates Milanese risotto carnaroli rice saffron broth butter parmesan per person portion.
Calculator Milanese Cotoletta Recipe per Person Quantity
Estimates Milanese cotoletta breaded veal butter breadcrumbs lemon per person portion.
Calculator Bolognese Tortellini Recipe per Person Quantity
Estimates Bolognese tortellini stuffed pasta meat capon broth per person portion.
Calculator Bolognese Mortadella Recipe per Person Quantity
Estimates Bolognese mortadella pork sausage pistachio cube appetizer per person portion.
Calculator Romagnola Piadina Recipe per Person Quantity
Estimates Romagnola piadina flatbread flour lard salt cheese filling per person portion.
Calculator Bolognese Tagliatelle Recipe per Person
Estimates Bolognese tagliatelle pasta meat ragu tomato wine parmesan per person portion.
Calculator Roman Saltimbocca Recipe per Person
Estimates Roman saltimbocca veal prosciutto sage white wine butter per person portion.
Calculator Roman Suppli Recipe per Person Quantity
Estimates Roman suppli rice croquette mozzarella tomato sauce fried per person portion.
Calculator Sicilian Arancini Recipe per Person Quantity
Estimates Sicilian arancini saffron rice ball meat cheese filling fried per person portion.
Calculator Sicilian Pasta alla Norma Recipe per Person
Estimates Sicilian pasta alla norma noodles eggplant tomato salted ricotta per person portion.
Calculator Genovese Pizza Recipe per Person Quantity
Estimates Genovese focaccia bread olive oil coarse salt rosemary per person portion.
Calculator Genovese Pesto Recipe per Person Quantity
Estimates Genovese pesto basil garlic pine nuts parmesan pecorino olive oil per person portion.
Calculator Space No Mans Sky Time to Complete Galaxy
Estimates No Mans Sky time to complete galaxy exploration planets missions base ship per player.
Calculator Space Elite Dangerous Time to Complete
Estimates Elite Dangerous time to complete career combat trade exploration mining per player.
Calculator Space Star Citizen Time to Complete 100pct
Estimates Star Citizen time to complete 100pct content missions ships careers planets per player.
Calculator Space EVE Online Time to Complete Corporation
Estimates EVE Online time to complete corporation career alliance pvp trade industry per player.
Calculator Space X Universe Time to Complete Game
Estimates X Universe time to complete game trade combat factories ships per player.
Calculator Space Kerbal Space Program Time
Estimates Kerbal Space Program time to complete career rocket mission planet moon orbit per player.
Calculator Space Empyrion Galactic Survival Time
Estimates Empyrion Galactic Survival time to complete campaign base ship planet survival per player.
Calculator Space X Rebirth Time to Complete
Estimates X Rebirth time to complete campaign trade station ship universe per player.
Calculator Space X4 Foundations Time to Complete
Estimates X4 Foundations time to complete campaign empire fleet station economy per player.
Calculator Space Stellaris Time to Complete Extra
Estimates Stellaris time to complete grand strategy empire crisis dlc extra match per player.
Calculator Space Stationeers Time to Complete
Estimates Stationeers time to complete space station atmosphere power automation per player.
Calculator Space Space Engineers Time to Complete
Estimates Space Engineers time to complete campaign ship station mining construction per player.
Calculator Space Osiris New Dawn Time to Complete
Estimates Osiris New Dawn time to complete campaign planet colony survival per player.
Calculator Kafka Partitions Throughput per Second Type
Estimates Kafka topic partitions throughput messages per second load type production consumption.
Calculator Kafka Retention ms Storage Overhead
Estimates Kafka retention ms storage overhead MB topic replication retention time log.
Calculator Kafka Replication Factor Cluster Throughput
Estimates Kafka replication factor cluster throughput overhead broker ISR replica sync.
Calculator Pulsar Throughput Messages per Second Tenant
Estimates Apache Pulsar throughput messages per second tenant namespace topic bookkeeper.
Calculator Pulsar Topic Partitions Throughput
Estimates Apache Pulsar topic partitions throughput messages load production consumption broker.
Calculator Pulsar Tiered Storage Overhead MB
Estimates Apache Pulsar tiered storage overhead MB S3 GCS Azure offload retention.
Calculator RabbitMQ Cluster Quorum Throughput
Estimates RabbitMQ cluster quorum queue throughput messages per second HA raft replica.
Calculator RabbitMQ Streams vs Classic Throughput
Estimates RabbitMQ streams vs classic queue throughput comparison messages per second load.
Calculator NATS Throughput Messages per Second
Estimates NATS throughput messages per second subject pub sub leaf cluster gateway.
Calculator NATS JetStream Throughput Messages per Second
Estimates NATS JetStream throughput messages per second stream consumer persistence retention.
Calculator Redis Streams Throughput Messages per Second
Estimates Redis Streams throughput messages per second XADD XREAD consumer group partition.
Calculator Google PubSub Throughput Messages per Second
Estimates Google Cloud Pub Sub throughput messages per second topic subscription push pull.
Calculator Neurosurgery Craniotomy Recovery Time per Patient
Estimates craniotomy recovery time per patient post op ICU ward physical cognitive therapy.
Calculator Neurosurgery Spine Discectomy Recovery Time per Patient
Estimates spine discectomy recovery time per patient lumbar cervical herniated disc physical therapy.
Calculator Neurosurgery Spine Laminectomy Recovery Time per Patient
Estimates spine laminectomy recovery time per patient spinal canal decompression stenosis.
Calculator Neurosurgery Spinal Fusion Recovery Time per Patient
Estimates spinal fusion recovery time per patient arthrodesis pedicle screw bone consolidation.
Calculator Neurosurgery Brain Tumor Recovery Time per Patient
Estimates brain tumor resection recovery time per patient craniotomy radiation chemo.
Calculator Neurosurgery Aneurysm Recovery Time per Patient
Estimates cerebral aneurysm recovery time per patient clipping endovascular coil embolization.
Calculator Neurosurgery AVM Recovery Time per Patient
Estimates arteriovenous malformation AVM recovery time per patient surgery radiosurgery embolization.
Calculator Neurosurgery Hydrocephalus Recovery Time per Patient
Estimates hydrocephalus recovery time per patient ventriculoperitoneal shunt VPS valve.
Calculator Neurosurgery Epilepsy Surgery Recovery Time per Patient
Estimates epilepsy surgery recovery time per patient temporal lobectomy hemispherotomy callosotomy.
Calculator Neurosurgery Spinal Cord Tumor Recovery Time per Patient
Estimates spinal cord tumor resection recovery time per patient laminectomy microsurgery rehabilitation.
Calculator Neurosurgery Brain Implant Recovery Time per Patient
Estimates brain implant recovery time per patient DBS electrode stereotaxy Parkinson dystonia.
Calculator Neurosurgery Neuromodulation Recovery Time per Patient
Estimates neuromodulation surgery recovery time per patient spinal cord stimulator intrathecal pump chronic pain.
Calculator Cochinita Pibil Yucatan Recipe per Person
Calculates Yucatecan cochinita pibil ingredients per person pork achiote orange red onion habanero.
Calculator Pozole Jalisco Recipe per Person Quantity
Calculates Jalisco style pozole ingredients per person cacahuazintle corn pork broth oregano tostadas.
Calculator Pozole Guerrero Recipe per Person Quantity
Calculates Guerrero green pozole ingredients per person pork hominy tomatillo pepita cilantro oregano.
Calculator Pozole Rojo Mexican Recipe per Person
Calculates Mexican red pozole ingredients per person hominy pork chile guajillo ancho onion garlic.
Calculator Tlayudas Oaxaca Mexican Recipe per Person
Calculates Oaxacan tlayudas ingredients per person large tortilla black beans asiento chorizo tasajo.
Calculator Mole Poblano Puebla Recipe per Person
Calculates Puebla mole poblano ingredients per person chiles ancho mulato pasilla chocolate almond bread.
Calculator Mole Negro Oaxaca Recipe per Person
Calculates Oaxacan mole negro ingredients per person chilhuacle mulato chocolate burnt bread spices.
Calculator Mole Verde Oaxaca Recipe per Person
Calculates Oaxacan mole verde ingredients per person tomatillo jalapeno hoja santa epazote pepita.
Calculator Mole Amarillo Oaxaca Recipe per Person
Calculates Oaxacan mole amarillo ingredients per person chile amarillo chilcostle tomato hoja aguacate masa.
Calculator Mole Coloradito Oaxaca Recipe per Person
Calculates Oaxacan mole coloradito ingredients per person chile ancho guajillo tomato cinnamon clove chocolate.
Calculator Machaca Northern Mexican Recipe per Person
Calculates northern Mexican machaca ingredients per person dried beef onion bell pepper tomato egg tortilla.
Calculator Discada Northern Mexican Recipe per Person Quantity
Calculates northern Mexican discada ingredients per person bacon chorizo sausage pork chicken pepper onion.
Calculator Tepache Mexican Drink per Person
Calculates Mexican tepache fermented drink ingredients per person pineapple piloncillo cinnamon clove water.
Calculator VR Mod Bonelab Completion Time
Estimates Bonelab VR physics sandbox arena game completion time by skill level.
Calculator VR Mod Population One Completion Time
Estimates Population One VR battle royale completion time by match count.
Calculator VR Mod Half Life Alyx Completion Time With Extras
Estimates Half Life Alyx VR completion time with mods workshop extra content.
Calculator VR Mod Pavlov VR Completion Time
Estimates Pavlov VR multiplayer FPS completion time by competitive rounds.
Calculator VR Mod VRChat Completion Time Worlds
Estimates VRChat exploration time with custom avatars worlds mods count.
Calculator VR Mod Skyrim VR Completion Time With Extras
Estimates Skyrim VR completion time with extra mods dungeons quests content.
Calculator VR Mod Fallout 4 VR Completion Time
Estimates Fallout 4 VR completion time with workshop mods post apocalyptic open world.
Calculator VR Mod Vader Immortal Completion Time
Estimates Vader Immortal Star Wars VR trilogy episodes completion time.
Calculator VR Mod Asgard Wrath 2 Completion Time
Estimates Asgard Wrath 2 Meta Quest VR RPG Norse mythology completion time.
Calculator VR Mod Resident Evil Village VR Completion Time
Estimates Resident Evil Village PSVR2 VR completion time with extra modes.
Calculator VR Mod Walking Dead Saints and Sinners Completion Time
Estimates The Walking Dead Saints and Sinners VR zombie survival completion time.
Calculator VR Mod Onward VR Completion Time
Estimates Onward VR tactical military FPS multiplayer rounds completion time.
Calculator VR Mod Walkabout Mini Golf Completion Time
Estimates Walkabout Mini Golf VR cross platform courses completion time.
Calculator Vault Secrets Throughput per Second
Estimates HashiCorp Vault secrets throughput per second by cluster size and replication.
Calculator Vault Token Throughput per Second
Estimates Vault tokens issued per second by cluster and auth method.
Calculator Vault Policy Throughput Overhead in Milliseconds
Estimates HCL policy evaluation overhead in milliseconds per request.
Calculator Vault Dynamic Secrets Throughput
Estimates Vault dynamic secrets engines throughput database aws cloud per second.
Calculator Consul Services Throughput per Second
Estimates HashiCorp Consul services registered per second in the cluster.
Calculator Consul Health Check Overhead in Milliseconds
Estimates Consul HTTP TCP TTL script health checks overhead in milliseconds per check.
Calculator Consul Service Discovery Throughput
Estimates Consul DNS HTTP catalog service discovery queries per second.
Calculator Consul Template Rendering Time in Milliseconds
Estimates consul template rendering time in milliseconds for nginx haproxy fluent.
Calculator AWS Secrets Manager Throughput in RPS
Estimates AWS Secrets Manager throughput requests per second per region with cache.
Calculator Azure Key Vault Throughput in RPS
Estimates Azure Key Vault throughput requests per second per region and operation type.
Calculator GCP Secret Manager Throughput in RPS
Estimates GCP Secret Manager throughput requests per second per project and region.
Calculator HashiCorp Boundary Throughput per Second
Estimates HashiCorp Boundary sessions throughput per second with workers and controllers.
Calculator Sports Orthopedics Recovery Time LDB per Person
Estimates deltoid ligament LDB ankle injury recovery time per person physical therapy.
Calculator Sports Orthopedics Recovery Time LCM per Person
Estimates medial collateral ligament LCM knee injury recovery time per person therapy.
Calculator Sports Orthopedics Recovery Time LCL per Person
Estimates lateral collateral ligament LCL knee injury recovery time per person therapy.
Calculator Sports Orthopedics Recovery Time LCL FL per Person
Estimates LCL posterolateral corner FL reconstruction knee recovery time per person.
Calculator Sports Orthopedics Recovery Time Meniscal RL per Person
Estimates meniscal repair RL knee injury recovery time per person physical therapy.
Calculator Sports Orthopedics Recovery Time Supraspinatus per Person
Estimates supraspinatus rotator cuff shoulder tendinopathy recovery time per person therapy.
Calculator Sports Orthopedics Recovery Time Infraspinatus per Person
Estimates infraspinatus rotator cuff shoulder tendinopathy recovery time per person therapy.
Calculator Sports Orthopedics Recovery Time Subscapularis per Person
Estimates subscapularis rotator cuff shoulder tendinopathy recovery time per person therapy.
Calculator Sports Orthopedics Recovery Time Teres Minor per Person
Estimates teres minor rotator cuff shoulder tendinopathy recovery time per person therapy.
Calculator Sports Orthopedics Recovery Time Achilles Bursitis per Person
Estimates retrocalcaneal Achilles bursitis tendon recovery time per person physical therapy.
Calculator Sports Orthopedics Recovery Time Trochanteric Bursitis per Person
Estimates trochanteric hip bursitis recovery time per person physical therapy.
Calculator Sports Orthopedics Recovery Time Olecranon Bursitis per Person
Estimates olecranon elbow bursitis recovery time per person physical therapy.
Calculator Pampean Argentine Asado Recipe per Person
Calculates pampean Argentine asado ingredients per person ribs vacio chorizo sweetbread blood sausage provolone salt.
Calculator Cuyan Argentine Locro Recipe per Person
Calculates Cuyan Argentine locro ingredients per person white corn white beans pumpkin pancetta tripe red chorizo.
Calculator Mendoza Argentine Empanada Recipe per Person
Calculates Mendoza Argentine empanada ingredients per person ground beef onion pepper paprika raisins olives.
Calculator Salta Argentine Empanada Recipe per Person
Calculates Salta Argentine empanada ingredients per person diced beef onion potato pepper paprika cumin egg.
Calculator Tucuman Argentine Empanada Recipe per Person
Calculates Tucuman Argentine empanada ingredients per person matambre diced onion cumin paprika egg olives.
Calculator Cuyan Argentine Humita Recipe per Person
Calculates Cuyan Argentine humita ingredients per person fresh corn onion tomato cheese butter cornhusks.
Calculator Tucuman Argentine Casserole Recipe per Person
Calculates Tucuman Argentine casserole ingredients per person free range chicken pumpkin potato corn fresh herbs.
Calculator Uruguayan Argentine Chivito Recipe per Person
Calculates Uruguayan Argentine chivito ingredients per person bun loin steak ham cheese egg bacon pancetta.
Calculator Portena Argentine Bondiola Recipe per Person
Calculates Portena Argentine bondiola ingredients per person pork shoulder onion salt pepper lemon white wine.
Calculator Argentine Napolitana Milanesa Recipe per Person
Calculates Argentine Napolitana milanesa ingredients per person breaded steak tomato sauce ham cheese oregano.
Calculator Criollo Argentine Chorizo Recipe per Person
Calculates Criollo Argentine chorizo ingredients per person pork meat fat paprika garlic pepper salt casing.
Calculator Portena Argentine Fugazza Recipe per Person
Calculates Portena Argentine fugazza ingredients per person pizza dough caramelized onion oregano mozzarella cheese.
Calculator Argentine Fernet with Cola Drink Recipe per Person
Calculates Argentine Fernet with Cola ingredients per person Fernet Branca cola ice lemon.
Calculator Asymmetric Dead by Daylight Time to Complete Season
Estimates total time to complete one season of Dead by Daylight including rituals and challenges.
Calculator Asymmetric Friday 13th Time to Complete
Estimates total time to complete Friday 13th the Game all characters weapons modes.
Calculator Asymmetric Evolve Time to Complete Season
Estimates total time to complete one Evolve season with Hunters and Monsters all stages.
Calculator Asymmetric Resident Evil Resistance Time
Estimates total time to complete Resident Evil Resistance all Masterminds and Survivors.
Calculator Asymmetric VHS Time to Complete Season
Estimates total time to complete VHS asymmetric game with Teens vs Monster.
Calculator Asymmetric Deceit Time to Complete Season
Estimates total time to complete Deceit social asymmetric game with Infected and Innocents.
Calculator Asymmetric Among Us Time to Complete Season
Estimates total time to complete Among Us season with cosmetics hats maps extras.
Calculator Asymmetric Secret Neighbor Time to Complete
Estimates total time to complete Secret Neighbor all characters kids neighbor extras.
Calculator Asymmetric Project Winter Time to Complete
Estimates total time to complete Project Winter traitor survivor modes survival environment.
Calculator Asymmetric Witch It Time to Complete Season
Estimates total time to complete Witch It asymmetric game Hunters vs Witches.
Calculator Asymmetric Skin Deep Time to Complete
Estimates total time to complete Skin Deep asymmetric stealth game with space pirates.
Calculator Asymmetric Last Year Time to Complete Season
Estimates total time to complete Last Year asymmetric game Survivors vs Fiends.
Calculator Asymmetric Monstrum Time to Complete
Estimates total time to complete Monstrum asymmetric survival game on open ship.
Calculator Istio Throughput RPS Small Mesh
Estimates requests per second throughput of a small Istio Service Mesh per nodes and proxies.
Calculator Istio Overhead Latency Sidecar ms
Estimates latency overhead in milliseconds of Istio Envoy sidecar with mTLS configurations.
Calculator Istio Control Plane CPU Memory by Type
Estimates CPU and memory required for Istio control plane (istiod) by cluster type.
Calculator Istio Data Plane CPU Memory by Type
Estimates Istio data plane (Envoy sidecars) CPU and memory by load type and pods.
Calculator Linkerd Throughput RPS Small Mesh
Estimates requests per second throughput of a small Linkerd Service Mesh per nodes.
Calculator Linkerd Overhead Latency Sidecar ms
Estimates latency overhead in milliseconds of linkerd2-proxy sidecar per hops with mTLS.
Calculator Linkerd Control Plane CPU Memory by Type
Estimates CPU and memory required for Linkerd control plane by cluster type and services.
Calculator Linkerd Data Plane CPU Memory by Type
Estimates Linkerd data plane (linkerd2-proxy) CPU and memory by load type and pods.
Calculator Consul Connect Service Mesh Throughput
Estimates Consul Connect service mesh throughput in requests per second per nodes.
Calculator Cilium Service Mesh Throughput
Estimates Cilium service mesh throughput based on eBPF in requests per second per nodes.
Calculator Traefik Mesh Throughput RPS
Estimates Traefik Mesh throughput in requests per second per cluster nodes.
Calculator Kuma Service Mesh Throughput RPS
Estimates Kuma service mesh throughput in requests per second per nodes.
Calculator Obstetrics Preeclampsia per Person Pressure
Assesses gestational preeclampsia risk based on systolic blood pressure and proteinuria.
Calculator Obstetrics Eclampsia per Person Criteria
Assesses eclampsia criteria in pregnant patient based on seizures hypertension proteinuria.
Calculator Obstetrics Gestational Diabetes per Person Glucose
Assesses gestational diabetes based on fasting glucose and OGTT 75g in pregnant patient.
Calculator Obstetrics Placenta Previa per Person Type
Classifies placenta previa based on placental edge distance from cervical os.
Calculator Obstetrics Placental Abruption per Person
Assesses placental abruption severity based on Sher classification and percentage.
Calculator Obstetrics Uterine Rupture per Person
Assesses uterine rupture risk in pregnant patient with previous uterine scar by number of cesareans.
Calculator Obstetrics Postpartum Hemorrhage per Person
Assesses postpartum hemorrhage based on blood volume lost and delivery route.
Calculator Obstetrics Preterm per Person Weeks
Classifies neonatal prematurity by gestational weeks at birth extreme early late.
Calculator Obstetrics Post Term per Person Weeks
Assesses post term pregnancy based on gestational weeks greater than 42 weeks fetal risks.
Calculator Obstetrics Intrauterine Growth per Person
Assesses fetal intrauterine growth by percentile based on SGA LGA AGA weeks.
Calculator Obstetrics Macrosomia per Person Weight
Assesses fetal macrosomia at birth based on birth weight in grams.
Calculator Obstetrics IUGR per Person
Assesses intrauterine growth restriction (IUGR) early late based on gestational weeks.
Calculator Baiao de Dois Northeast Brazil Recipe per Person Quantity
Calculates Brazilian Northeast Baiao de Dois ingredients per person rice green beans queijo coalho dried beef onion.
Calculator Cuscuz Northeast Brazil Recipe per Person Quantity
Calculates Brazilian Northeast cuscuz ingredients per person corn flour flocao water salt milk butter.
Calculator Tapioca Northeast Brazil Recipe per Person Quantity
Calculates Brazilian Northeast tapioca ingredients per person tapioca starch grated coconut cheese butter salt.
Calculator Buchada de Bode Northeast Brazil Recipe per Person
Calculates Brazilian Northeast goat buchada ingredients per person goat tripe stomach blood bacon spices cilantro.
Calculator Vatapa North Brazil Recipe per Person Quantity
Calculates North Brazil vatapa ingredients per person fish shrimp bread coconut milk peanut cashew dende oil.
Calculator Caruru North Brazil Recipe per Person Quantity
Calculates North Brazil caruru ingredients per person okra dried shrimp cashew peanut dende oil onion.
Calculator Tucupi North Brazil Recipe per Person Quantity 2
Calculates North Brazil tucupi preparation quantities per person wild cassava chicory basil salt jambu.
Calculator Duck in Tucupi North Brazil Recipe per Person
Calculates duck in tucupi ingredients per person duck tucupi jambu garlic onion aromatic pepper chicory.
Calculator Tacaca North Brazil Recipe per Person Quantity 2
Calculates Para Brazil tacaca ingredients per person tucupi cassava gum dried shrimp jambu pepper salt.
Calculator Acaraje Bahia Recipe per Person Quantity 2
Calculates Bahia acaraje ingredients per person black eyed peas onion salt dende oil vatapa shrimp.
Calculator Abara Bahia Recipe per Person Quantity
Calculates Bahia abara ingredients per person black eyed peas onion banana leaves dried shrimp oil.
Calculator Mocoto Minas Gerais Recipe per Person Quantity
Calculates Minas Gerais mocoto ingredients per person bovine mocoto white beans bacon kale herbs.
Calculator Pao de Queijo Minas Gerais Recipe per Person Quantity 2
Calculates Minas Gerais pao de queijo ingredients per person sour and sweet tapioca starch cheese milk egg oil.
Calculator MOBA Mobile Mobile Legends Season Time
Estimates total time to complete one Mobile Legends Bang Bang season with heroes ranked extras.
Calculator MOBA Mobile Honor of Kings Season Time
Estimates total time to complete one Honor of Kings season with heroes skins legends events.
Calculator MOBA Mobile Arena of Valor Season Time
Estimates total time to complete one Arena of Valor season with heroes ranked rewards.
Calculator MOBA Mobile Vainglory Time to Complete
Estimates total time to complete Vainglory mobile MOBA 3v3 5v5 with heroes skins ranked.
Calculator MOBA Mobile Wild Rift Time to Complete Ranked
Estimates time to complete Wild Rift mobile ranked with champions mastery emotes summoner.
Calculator MOBA Mobile Onmyoji Arena Time to Complete
Estimates time to complete Onmyoji Arena shikigami abilities skins events ranked.
Calculator MOBA Mobile Marvel Super War Time
Estimates time to complete Marvel Super War with Marvel heroes skins ranked rewards.
Calculator MOBA Mobile Pokemon Unite Time to Complete Ranked
Estimates time to complete Pokemon Unite ranked with pokemons holowear unite licenses.
Calculator MOBA Mobile Paladins Strike Time to Complete
Estimates time to complete Paladins Strike mobile MOBA 5v5 with champions skins events.
Calculator MOBA Mobile Summoners Greed Time to Complete
Estimates time to complete Summoners Greed mobile tower defense MOBA with monsters heroes.
Calculator MOBA Mobile Magic Rampage Time to Complete
Estimates time to complete Magic Rampage mobile action MOBA with characters magic bosses.
Calculator MOBA Mobile Soulgrinder Time to Complete
Estimates time to complete Soulgrinder mobile MOBA dark fantasy with classes abilities.
Calculator MOBA Mobile Mythical Magic Time to Complete
Estimates time to complete Mythical Magic mobile MOBA with characters legends magic items.
Calculator Spark Structured Streaming Messages per Second Throughput
Estimates Apache Spark Structured Streaming throughput in messages per second per cluster nodes.
Calculator Spark Streaming Discretized Time Overhead
Estimates time overhead in milliseconds for Spark Streaming DStreams discretized per batch.
Calculator Spark MLlib Model Training Seconds
Estimates Apache Spark MLlib model training time in seconds per nodes datasets.
Calculator Spark GraphX Edges per Second Throughput
Estimates Spark GraphX throughput in edges processed per second per cluster nodes.
Calculator Flink Events per Second Throughput Cluster
Estimates Apache Flink throughput in events per second per cluster nodes and parallelism.
Calculator Flink Stateful CPU Overhead
Estimates CPU overhead for Flink stateful processing with RocksDB state backend per load.
Calculator Flink Checkpoint MB Overhead
Estimates Apache Flink checkpoint MB overhead for state backend per interval.
Calculator Flink Window Processing Time ms
Estimates Flink window processing time in milliseconds per tumbling sliding session type.
Calculator Apache Beam Events per Second Throughput
Estimates Apache Beam throughput in events per second per Dataflow Spark Flink runners.
Calculator Storm Tuples per Second Throughput
Estimates Apache Storm throughput in tuples per second per workers executors tasks topology.
Calculator Samza Messages per Second Throughput
Estimates Apache Samza throughput in messages per second per containers tasks YARN Kafka.
Calculator Pulsar Functions Events per Second Throughput
Estimates Apache Pulsar Functions throughput in events per second per instances type parallelism.
Calculator Dermato Onco Melanoma per Person ABCD Criteria
Assesses cutaneous melanoma suspicion by ABCD criteria asymmetry border color diameter evolution.
Calculator Dermato Onco Melanoma per Person TNM
Assesses cutaneous melanoma staging by TNM classification Breslow thickness ulceration mitosis.
Calculator Dermato Onco Basal Cell Carcinoma per Person Criteria
Assesses basal cell carcinoma (BCC) criteria by nodular superficial morpheaform type location.
Calculator Dermato Onco Squamous Cell Carcinoma per Person Criteria
Assesses cutaneous squamous cell carcinoma (SCC) criteria by differentiation thickness invasion.
Calculator Dermato Onco Merkel Cell Carcinoma per Person Criteria
Assesses Merkel cell carcinoma criteria by TNM size lymph nodes metastasis.
Calculator Dermato Onco Kaposi Sarcoma per Person Criteria
Assesses Kaposi sarcoma by classical endemic iatrogenic AIDS associated subtype stage.
Calculator Dermato Onco Dermatofibrosarcoma Protuberans per Person
Assesses dermatofibrosarcoma protuberans (DFSP) by size depth invasion surgical margin.
Calculator Dermato Onco Cutaneous Lymphoma per Person Criteria
Assesses cutaneous T B cell lymphoma by TNMB stage mycosis fungoides Sezary.
Calculator Dermato Onco Paget Disease per Person Criteria
Assesses extramammary and mammary Paget disease by location histology underlying invasion.
Calculator Dermato Onco Bowen Disease per Person Criteria
Assesses Bowen disease squamous cell carcinoma in situ by location size lesion.
Calculator Dermato Onco Adjuvant Melanoma Treatment per Person Dose
Estimates adjuvant doses for stage III IV melanoma anti PD1 BRAF MEK inhibitors per weight.
Calculator Dermato Onco BCC Surgical Margin per Person
Estimates recommended surgical margin for basal cell carcinoma (BCC) by size location histological type.
Calculator Poltava Borshch Ukrainian Recipe per Person
Estimates Ukrainian Poltava borshch recipe (variation with wheat flour galushky dumplings cooked in beet soup) from number of people (reference 1 plate 400 ml per person with 6 dumplings).
Calculator Galushky Ukrainian Recipe per Person
Estimates Ukrainian galushky recipe (flour or potato dumplings boiled in broth or salted water served with sour cream and fried onion) from number of people (reference 8 dumplings per portion).
Calculator Zelena Borshch Ukrainian Recipe per Person
Estimates Ukrainian green borshch recipe (spring sorrel green borshch with chopped boiled egg potato and sour cream) from number of people (reference 400 ml per portion).
Calculator Horilka Vodka Ukrainian Beverage per Person
Estimates Ukrainian horilka recipe (traditional vodka distilled from rye or wheat flavored with pepper honey or herbal) from number of people (reference 50 ml shot served cold).
Calculator Zharkoe Ukrainian Recipe per Person
Estimates Ukrainian zharkoe recipe (hearty pork stew with potato carrot onion bay leaf pepper cooked in clay pot) from number of people (reference 350 g per portion).
Calculator Deruny Roztertyi Ukrainian Recipe per Person
Estimates Ukrainian deruny roztertyi recipe (fine grated potato pancake browned in skillet served with sour cream and fried onion) from number of people (reference 4 pancakes per person).
Calculator Cossack Galushky Ukrainian Recipe per Person
Estimates Ukrainian Cossack Zaporizhia galushky recipe (large wheat dough dumplings stuffed with white cheese boiled in pork broth) from number of people (reference 6 units per portion).
Calculator Marennyky Ukrainian Recipe per Person
Estimates Ukrainian marennyky recipe (thin wheat flour pancakes stuffed with ricotta honey or fruit folded and fried in butter) from number of people (reference 3 units per person).
Calculator Zazharka Ukrainian Recipe per Person
Estimates Ukrainian zazharka recipe (base saute of onion carrot and tomato in oil or lard used as sofrito in Ukrainian soups and stews) from number of people (reference 50 g per portion).
Calculator Knish Ukrainian Recipe per Person Quantity
Estimates Ukrainian knish recipe (baked pastries of puff dough stuffed with potato fried onion cheese or kasha) from number of people (reference 2 units per person of 80 g each).
Calculator Mlyntsi Ukrainian Recipe per Person Quantity
Estimates Ukrainian mlyntsi recipe (thin crepe-like pancakes of wheat flour milk and eggs served with honey butter or red caviar) from number of people (reference 4 units per person).
Calculator Bublyky Ukrainian Recipe per Person Quantity
Estimates Ukrainian bublyky recipe (ring bread with sesame or poppy seed first boiled in water then baked precursor of bagel) from number of people (reference 2 units per person of 70 g).
Calculator Pampushky Ukrainian Recipe per Person Quantity
Estimates Ukrainian pampushky recipe (soft baked rolls with garlic oil and dill served as classic accompaniment to borshch) from number of people (reference 2 units per person of 50 g).
Calculator Sims 5 Project Rene 2025 Time to Complete Pack
Estimates average time to complete content pack in The Sims 5 Project Rene (hours for stories relationships careers with new multiplayer mechanics in single game).
Calculator Sims 3 Time to Complete Expansion Pack
Estimates average time to complete Sims 3 expansion pack (hours to explore worlds professions careers like Ambitions Late Night Generations Pets per average player).
Calculator Sims 3 Time to Complete Stuff Pack
Estimates average time to use all items in a Sims 3 stuff pack (hours to build and decorate homes with new furniture clothes and cosmetic objects like Town Life Master Suite).
Calculator Sims 4 Time to Complete Expansion Pack
Estimates average time to complete Sims 4 expansion pack (hours to explore worlds like Get to Work Cats and Dogs City Living Seasons Eco Lifestyle per average player).
Calculator Sims 4 Time to Complete Game Pack
Estimates average time to complete Sims 4 game pack (hours for focused themed packs like Outdoor Retreat Vampires Parenthood Jungle Adventure Realm of Magic Dine Out).
Calculator Sims 4 Time to Complete Stuff Pack
Estimates average time to use all items in Sims 4 stuff pack (hours to build decorate with clothes furniture objects like Laundry Day Tiny Living Paranormal Country Kitchen).
Calculator Sims Mobile Time to Complete Season
Estimates average time to complete a season in The Sims Mobile (weekly hours over 6 weeks to level up hero careers hobbies missions and relationships in EA mobile game).
Calculator Sims FreePlay Time to Complete Season
Estimates average time to complete a season of events in The Sims FreePlay (hours over 4-6 weeks to complete hobby career building quests in casual free game).
Calculator Sims Medieval Time to Complete Season
Estimates average time to complete The Sims Medieval (hours to finish all 10 kingdom ambitions with heroes nobles bards knights including Pirates and Nobles expansion).
Calculator Sims Castaway Time to Complete
Estimates average time to complete Sims 2 Castaway Stories and Castaway console (hours to survive desert island build shelter fire find tribe and escape with secret ending).
Calculator Sims Pet Stories Time to Complete
Estimates average time to complete Sims 2 Pet Stories (hours to finish two parallel stories about lost dog and adopted cats with free play extra mode).
Calculator Sims Life Stories Time to Complete
Estimates average time to complete Sims 2 Life Stories (hours to finish stories of Riley Harlow and Vince Moore with love career friends choices and branching ending).
Calculator Sims 1 Livin Large Time to Complete
Estimates average time to complete Sims 1 Livin Large expansion (hours to use new careers like criminal politician astronaut and magical objects like genie and clone box).
Calculator Express Throughput RPS Routes Variation 2
Estimates requests per second throughput of Express server by number of routes and middlewares (variation 2 considering node 20 with cluster mode and routing cache).
Calculator Express Middleware Overhead in MS
Estimates overhead in milliseconds per middleware in Express pipeline (cost of helmet cors compression body-parser morgan express-rate-limit per typical request).
Calculator Koa Throughput RPS Routes
Estimates requests per second throughput of Koa server by number of routes and async middlewares (reference node 20 with koa-router koa-bodyparser koa-helmet).
Calculator Koa Middleware Overhead in MS
Estimates overhead in milliseconds per Koa middleware (cost of cascading async model of koa-helmet koa-bodyparser koa-compress koa-logger koa-jwt per request).
Calculator Fastify Throughput RPS Routes Variation 2
Estimates requests per second throughput of Fastify server by number of routes (variation 2 reference node 20 with compiled JSON schemas via ajv and pino logger).
Calculator Fastify Plugin Overhead in MS
Estimates overhead in milliseconds per Fastify plugin (cost of fastify-helmet fastify-cors fastify-compress fastify-jwt fastify-rate-limit fastify-swagger per request).
Calculator Restify Throughput RPS
Estimates requests per second throughput of Restify server (Node framework focused on REST APIs with native tracing audit and header versioning).
Calculator Hapi Throughput RPS Routes
Estimates requests per second throughput of Hapi server by number of routes (declarative framework with joi for validation bell for auth catbox for cache).
Calculator NestJS Throughput RPS Routes
Estimates requests per second throughput of NestJS server by number of routes (opinionated TypeScript framework with Express or Fastify adapter decorators and DI).
Calculator LoopBack Throughput RPS Routes
Estimates requests per second throughput of LoopBack 4 server by number of routes (IBM framework with native OpenAPI TypeScript decorators and juggler ORM for multiple datasources).
Calculator FeathersJS Throughput RPS Routes
Estimates requests per second throughput of FeathersJS server by number of routes (realtime framework for service-oriented apps with hooks REST and socket.io or primus).
Calculator SailsJS Throughput RPS Routes
Estimates requests per second throughput of SailsJS server by number of routes (MVC framework inspired by Rails with waterline ORM blueprints policies and realtime support via sockets).
Calculator Cardio Heart Failure Person Ejection Fraction
Assesses heart failure by left ventricular ejection fraction (LVEF) classifying as HFrEF below 40 percent HFmrEF between 41 and 49 HFpEF above 50.
Calculator Cardio Heart Failure Person BNP Range
Assesses heart failure by B-type natriuretic peptide (BNP) dosage with exclusion ranges below 35 pg ml ambulatory and above 100 pg ml requiring investigation.
Calculator Cardio Heart Failure Person NT-proBNP Range
Assesses heart failure by NT-proBNP N-terminal pro-BNP fragment with age-adjusted cutoffs exclusion below 125 pg ml and higher cutoffs in elderly and renal patients.
Calculator Cardio Heart Failure Furosemide Dose Mg Person Day
Estimates furosemide dose in milligrams per day for congestion in heart failure loop diuretic via oral or IV adjusted by renal function and severity.
Calculator Cardio Heart Failure Spironolactone Dose Mg Person Day
Estimates spironolactone dose in milligrams per day aldosterone antagonist in heart failure with reduced ejection fraction monitoring potassium and creatinine.
Calculator Cardio Heart Failure Eplerenone Dose Mg Person Day
Estimates eplerenone dose in milligrams per day selective aldosterone antagonist with less antiandrogenic effect than spironolactone indicated post-MI and HFrEF.
Calculator Cardio Heart Failure Beta-blocker Dose Mg Person
Estimates target beta-blocker dose for heart failure (carvedilol bisoprolol metoprolol succinate) gradually titrated in stable patients without acute congestion.
Calculator Cardio Heart Failure Enalapril Dose Mg Person Day
Estimates enalapril dose in milligrams per day classic ACE inhibitor in heart failure with reduced ejection fraction monitoring pressure creatinine and potassium.
Calculator Cardio Heart Failure Losartan Dose Mg Person Day
Estimates losartan dose in milligrams per day angiotensin receptor blocker (ARB) in heart failure patients intolerant to ACEi due to persistent cough or angioedema.
Calculator Cardio Heart Failure Sacubitril Valsartan Dose Mg Person
Estimates sacubitril valsartan dose ARNI neprilysin inhibitor and AT1 blocker in heart failure with reduced ejection fraction replacing ACEi with 36-hour washout.
Calculator Cardio Heart Failure Empagliflozin Dose Mg Person
Estimates empagliflozin dose in milligrams SGLT2 inhibitor with proven cardiovascular benefit in heart failure with reduced and preserved ejection fraction regardless of diabetes.
Calculator Cardio Heart Failure Dapagliflozin Dose Mg Person
Estimates dapagliflozin dose in milligrams SGLT2 inhibitor with cardiovascular benefit in heart failure with reduced and preserved ejection fraction once daily regardless of glycemic state.
Calculator Portuguese Fado Almonds Recipe per Person
Calculates ingredients for Portuguese fado-style roasted almonds per person: raw almonds coarse salt olive oil rosemary fleur de sel honey.
Calculator Portuguese Fado Codfish Cakes Recipe per Person
Calculates ingredients for Portuguese fado-style codfish cakes per person: codfish potato onion parsley egg flour olive oil.
Calculator Portuguese Fado Caldo Verde Recipe per Person
Calculates ingredients for Portuguese fado-style caldo verde per person: potato Galician kale onion garlic chorizo olive oil salt.
Calculator Portuguese Fado Shrimp Acorda Recipe per Person
Calculates ingredients for Portuguese fado-style shrimp acorda per person: Alentejo bread shrimp garlic cilantro olive oil egg.
Calculator Portuguese Fado Pumpkin Papas Recipe per Person
Calculates ingredients for Portuguese fado-style pumpkin papas per person: butternut pumpkin corn flour olive oil cinnamon sugar.
Calculator Portuguese Fado Cabbage Recipe per Person
Calculates ingredients for Portuguese fado-style cabbage per person: Portuguese cabbage garlic olive oil vinegar salt pepper cumin.
Calculator Fado Codfish with Potato Recipe per Person
Calculates ingredients for fado-style codfish with potato per person: codfish potato onion bell pepper olive oil garlic bay leaf wine.
Calculator Fado Cabidela Rice Recipe per Person
Calculates ingredients for fado-style cabidela rice per person: free-range chicken blood rice onion garlic wine vinegar bay leaf.
Calculator Fado Seafood Rice Recipe per Person
Calculates ingredients for fado-style seafood rice per person: rice shrimp mussels clams crayfish onion tomato garlic cilantro.
Calculator Fado Monkfish Rice Recipe per Person
Calculates ingredients for fado-style monkfish rice per person: monkfish rice shrimp onion garlic tomato white wine cilantro.
Calculator Fado Chicken Canja Recipe per Person
Calculates ingredients for fado-style chicken canja per person: free-range chicken rice carrot onion garlic mint lemon egg yolk.
Calculator Fado Portuguese Custard Recipe per Person
Calculates ingredients for fado-style Portuguese custard per person: milk yolk sugar starch lemon peel cinnamon stick vanilla.
Calculator Fado Aletria Recipe per Person
Calculates ingredients for fado-style aletria per person: aletria milk sugar yolk lemon peel cinnamon stick butter.
Calculator Pixel Adventure Shovel Knight Time
Estimates average time to complete Shovel Knight pixel adventure considering main route exploration bosses and optional secrets.
Calculator Pixel Adventure Stardew Valley Time
Estimates average time to complete Stardew Valley pixel adventure by seasons farm marriage community center.
Calculator Pixel Adventure Undertale Time
Estimates average time to complete Undertale pixel adventure neutral pacifist true pacifist and genocide route.
Calculator Pixel Adventure Deltarune Time
Estimates average time to complete Deltarune pixel adventure chapters 1 and 2 released pacifist route and weird route.
Calculator Pixel Adventure Celeste Time
Estimates average time to complete Celeste pixel adventure main story chapters B-side C-side and strawberries.
Calculator Pixel Adventure Axiom Verge Time
Estimates average time to complete Axiom Verge pixel adventure metroidvania exploration secret items bosses.
Calculator Pixel Adventure Momodora Time
Estimates average time to complete Momodora Reverie Under the Moonlight pixel adventure difficulties challenge mode.
Calculator Pixel Adventure Iconoclasts Time
Estimates average time to complete Iconoclasts pixel adventure metroidvania puzzles bosses collectibles upgrades.
Calculator Pixel Adventure Cthulhu Saves the World Time
Estimates average time to complete Cthulhu Saves the World pixel adventure retro RPG humor classes spells.
Calculator Pixel Adventure Rusty Lake Time
Estimates average time to complete Rusty Lake Cube Escape series pixel adventure point and click puzzles narrative.
Calculator Pixel Adventure Katana Zero Time
Estimates average time to complete Katana Zero pixel adventure action platform rhythmic combat neon-noir narrative.
Calculator Pixel Adventure Mark of the Ninja Time
Estimates average time to complete Mark of the Ninja pixel adventure side-scrolling 2D stealth scrolls secret objectives.
Calculator Pixel Adventure Hyper Light Drifter Time
Estimates average time to complete Hyper Light Drifter pixel adventure action-RPG exploration bosses outfits.
Calculator Rust Actix Web Throughput RPS Routes
Estimates requests per second RPS Rust Actix Web server by number of routes considering middleware extractors async handlers.
Calculator Rust Axum Web Throughput RPS Routes
Estimates requests per second RPS Rust Axum server by number of routes tower middleware extractors tokio runtime.
Calculator Rust Rocket Throughput RPS Routes
Estimates requests per second RPS Rust Rocket server by number of routes type-safe guards fairings macros sync and async.
Calculator Rust Warp Throughput RPS Routes
Estimates requests per second RPS Rust Warp server by number of routes composable filters tokio hyper websocket support.
Calculator Rust Tide Throughput RPS Routes
Estimates requests per second RPS Rust Tide server by number of routes async-std runtime modular middleware endpoints.
Calculator Rust Poem Throughput RPS Routes
Estimates requests per second RPS Rust Poem server by number of routes integrated OpenAPI declarative endpoints.
Calculator Rust Salvo Throughput RPS Routes
Estimates requests per second RPS Rust Salvo server by number of routes handler-based middleware injection HTTP3 and QUIC.
Calculator Rust Pavex Throughput RPS Routes
Estimates requests per second RPS Rust Pavex server by number of routes compile-time DI code generation type safety.
Calculator Rust Loco Throughput RPS Routes
Estimates requests per second RPS Rust Loco server by number of routes full-stack Rails-style ORM background jobs mailer.
Calculator Rust Leptos Throughput RPS Routes
Estimates requests per second RPS Rust Leptos SSR server by number of routes reactivity signals islands hydration WASM.
Calculator Rust Dioxus Throughput RPS Routes
Estimates requests per second RPS Rust Dioxus server by number of routes SSR fullstack cross-platform desktop web mobile.
Calculator Rust Yew Throughput RPS Routes
Estimates requests per second RPS Rust Yew SSR server by number of routes component-based React-like virtual DOM hooks WASM.
Calculator Forensic Time of Death Person Body Temperature
Estimates time of death (PMI postmortem interval) based on body temperature ambient Henssge formula factors body mass clothing.
Calculator Forensic Rigor Mortis Person Time Phases
Estimates rigor mortis phase based on time since death (onset full resolution) and ambient temperature musculature.
Calculator Forensic Livor Mortis Person Distribution
Estimates livor mortis distribution (postmortem lividity) based on body position time since death fixation patches.
Calculator Forensic Algor Mortis Person Temperature
Estimates postmortem body cooling (algor mortis) based on ambient temperature body mass clothing.
Calculator Forensic Putrefaction Person Phases Time
Estimates putrefaction phases (autolysis green abdominal gas emphysematous colliquative skeletonization) by time temperature.
Calculator Forensic Saponification Person Phases
Estimates saponification phases (adipocere) based on humid cold anaerobic environment body mass fatty tissues.
Calculator Forensic Mummification Person Phases
Estimates mummification phases based on dry ventilated hot environment skin tissue preservation body desiccation.
Calculator Forensic DNA Person Collection Time
Estimates forensic DNA collection viability based on time since death source (blood saliva bone tooth hair) preservation conditions.
Calculator Forensic Toxicology Person Collection Time
Estimates postmortem toxicology collection window based on biological material drug type substance preservation.
Calculator Forensic Ballistics Person Type
Classifies ballistic analysis by firearm type short long rifled smoothbore calibers brands shooter gunpowder residues.
Calculator Forensic Fingerprint Person Collection
Estimates forensic fingerprint collection types latent visible molded post powder post chemistry reactives ninhydrin cyanoacrylate.
Calculator Forensic Entomology Person Time
Estimates postmortem interval entomological based on cadaveric insects succession blowfly beetles development cycle.
Calculator Mille Feuille Patisserie Recipe per Person Quantity
Calculates ingredients for classic French mille-feuille per person: puff pastry creme patissiere sugar vanilla glaze fondant.
Calculator Saint Honore Patisserie Recipe per Person Quantity
Calculates ingredients for traditional French Saint-Honore per person: puff pastry choux pastry chiboust cream caramel.
Calculator Paris Brest Patisserie Recipe per Person Quantity
Calculates ingredients for classic French Paris-Brest per person: choux pastry praline cream hazelnut sliced almond confectioners sugar.
Calculator Fraisier Patisserie Recipe per Person Quantity
Calculates ingredients for French fraisier per person: sponge cake strawberries mousseline cream kirsch marzipan sugar gelatin.
Calculator Religieuse Patisserie Recipe per Person Quantity
Calculates ingredients for French religieuse per person: choux pastry pastry cream chocolate coffee glaze fondant butter.
Calculator Baba au Rhum Patisserie Recipe per Person Quantity
Calculates ingredients for French baba au rhum per person: brioche fermented dough rum sugar syrup vanilla chantilly cream.
Calculator Canele Patisserie Recipe per Person Quantity
Calculates ingredients for French Bordeaux caneles per person: milk butter flour sugar egg yolks vanilla rum.
Calculator Financier Patisserie Recipe per Person Quantity
Calculates ingredients for French financiers per person: almond flour brown butter noisette egg whites confectioners sugar.
Calculator Madeleine Patisserie Recipe per Person Quantity
Calculates ingredients for French madeleines per person: flour eggs sugar butter honey baking powder lemon vanilla.
Calculator Palmier Patisserie Recipe per Person Quantity
Calculates ingredients for French palmiers per person: puff pastry crystal sugar cinnamon vanilla butter.
Calculator Tropezienne Patisserie Recipe per Person
Calculates ingredients for French tarte tropezienne per person: brioche diplomat cream chantilly orange blossom pearl sugar.
Calculator Pithiviers Patisserie Recipe per Person Quantity
Calculates ingredients for French pithiviers per person: puff pastry frangipane cream almond rum sugar egg yolks.
Calculator Galette des Rois Patisserie Recipe per Person
Calculates ingredients for French galette des rois per person: puff pastry frangipane cream almond rum feve crown.
Calculator Fighting Mod Street Fighter 6 Completion Time
Estimates time to complete Street Fighter 6 by mode World Tour Arcade Versus Battle Hub combos ranked predicted hours.
Calculator Fighting Mod Tekken 8 Completion Time
Estimates time to complete Tekken 8 by mode Story Arcade Versus Tekken Ball Ghost Battle Online ranked predicted hours.
Calculator Fighting Mod Mortal Kombat 1 Completion Time
Estimates time to complete Mortal Kombat 1 by mode Story Invasion Towers Versus Kameo Krypt Online ranked predicted hours.
Calculator Fighting Mod Injustice 2 Completion Time
Estimates time to complete Injustice 2 by mode Story Multiverse Versus AI Battle Simulator Online ranked predicted hours.
Calculator Fighting Mod Dragon Ball FighterZ Completion Time
Estimates time to complete Dragon Ball FighterZ by mode Story Arcade Versus Practice Ranked Lobby predicted hours.
Calculator Fighting Mod Skullgirls Completion Time 2
Estimates time to complete Skullgirls 2nd Encore by mode Story Arcade Versus Training Online ranked predicted hours.
Calculator Fighting Mod Soulcalibur VI Completion Time
Estimates time to complete Soulcalibur VI by mode Libra Soul Chronicle Soul Arcade Versus Online ranked predicted hours.
Calculator Fighting Mod BlazBlue Cross Tag Battle Time
Estimates time to complete BlazBlue Cross Tag Battle by mode Episode Survival Versus Tutorial Online ranked predicted hours.
Calculator Fighting Mod Virtua Fighter 5 Completion Time
Estimates time to complete Virtua Fighter 5 Ultimate Showdown by mode Arcade Versus Quest Online ranked predicted hours.
Calculator Fighting Mod Guilty Gear Strive Completion Time
Estimates time to complete Guilty Gear Strive by mode Story Arcade Mission Survival Versus Online ranked predicted hours.
Calculator Fighting Mod Marvel vs Capcom Completion Time
Estimates time to complete Marvel vs Capcom Infinite by mode Story Arcade Versus Mission Online ranked predicted hours.
Calculator Fighting Mod King of Fighters XV Completion Time
Estimates time to complete The King of Fighters XV by mode Story Mission Versus Team Online ranked predicted hours.
Calculator Fighting Mod Omen of Sorrow Completion Time
Estimates time to complete Omen of Sorrow by mode Story Arcade Versus Survival Online ranked predicted hours.
Calculator Rust Tokio vs Async Std Throughput
Compares throughput between Tokio and async-std runtimes in Rust by workload type IO bound CPU bound tasks per second benchmark.
Calculator Rust Tokio vs Smol Throughput
Compares throughput between Tokio and smol runtimes in Rust by workload type IO bound CPU bound tasks per second benchmark.
Calculator Rust Tokio Channels Overhead ns
Estimates nanosecond overhead of Tokio channels mpsc oneshot broadcast watch send recv per message.
Calculator Rust Tokio Mutex Overhead ns
Estimates nanosecond overhead of Tokio Mutex contention low medium high lock unlock async lock.
Calculator Rust Tokio Semaphore Overhead ns
Estimates nanosecond overhead of Tokio Semaphore acquire release permits contention acquire async permits available.
Calculator Rust Tokio Task Spawn Overhead ns
Estimates nanosecond overhead for spawn of Tokio tasks multi thread current thread allocation task scheduler.
Calculator Rust Tokio Runtime Threads Pool
Estimates ideal Tokio multi thread pool size based on cores workload type IO bound CPU bound blocking ops.
Calculator Rust Tokio Spawn Blocking Overhead
Estimates spawn_blocking overhead in Tokio dedicated thread pool blocking tasks blocking IO synchronous operations.
Calculator Rust Tokio Yield Overhead ns
Estimates nanosecond overhead of tokio yield_now cooperative scheduling task yield context switch.
Calculator Rust Tokio Timer Overhead ns
Estimates nanosecond overhead of Tokio Timer sleep interval deadline driver overhead timer wheel.
Calculator Rust Tokio IO Throughput in Seconds
Estimates Tokio IO throughput AsyncRead AsyncWrite files sockets MB per second overhead async epoll.
Calculator Rust Tokio Net Throughput in Seconds
Estimates Tokio network throughput TCP UDP simultaneous connections MB per second overhead async stack net.
Calculator Obstetrics Fertility Person Age Fertility
Estimates female fertility by age ovarian reserve oocyte quality spontaneous pregnancy rates per cycle.
Calculator Obstetrics Fertility FSH Person Pre IVF
Estimates ovarian reserve via basal FSH pre in vitro fertilization reserve diminished normal elevated interpretation mIU mL.
Calculator Obstetrics Fertility AMH Person Pre IVF
Estimates ovarian reserve via AMH anti mullerian hormone pre IVF reserve diminished normal elevated ng mL.
Calculator Obstetrics Fertility Spermogram Person
Evaluates spermogram WHO concentration motility morphology volume vitality leukocytes normality criteria.
Calculator Obstetrics Fertility Laparoscopy Person
Estimates utility of diagnostic laparoscopy in infertility endometriosis adhesions tubal evaluation surgical time.
Calculator Obstetrics Fertility Hysterosalpingography Person
Evaluates hysterosalpingography HSG tubal patency uterine cavity contrast Cotte test hydrosalpinx.
Calculator Obstetrics Fertility Follicular Person Age
Estimates antral follicle count AFC by age ovarian reserve transvaginal ultrasound bilateral antral follicles.
Calculator Obstetrics Fertility IUI Time Person
Estimates time and number of cycles for intrauterine insemination IUI success by age indication contraindications.
Calculator Obstetrics Fertility IVF ICSI Person
Estimates IVF ICSI success by age ovarian reserve embryonic quality estimates implantation pregnancy per cycle.
Calculator Obstetrics Fertility ICSI Person Time
Estimates time cycles ICSI intracytoplasmic sperm injection indications male factor oligo astheno spermia.
Calculator Obstetrics Fertility PGT A Person
Estimates utility of PGT A preimplantation aneuploidy testing indications age previous failures recurrent miscarriage.
Calculator Obstetrics Fertility PGT M Person
Estimates utility of PGT M preimplantation monogenic diseases testing couples carriers autosomal recessive diseases.
Calculator Magret de Canard Recipe Nouvelle Cuisine per Person
Calculates magret de canard nouvelle cuisine ingredients per person: duck breast orange honey port wine reduction.
Calculator Tournedos Rossini Recipe Nouvelle Cuisine per Person
Calculates tournedos Rossini ingredients per person: filet mignon foie gras black truffle crouton madeira.
Calculator Poulet en Cocotte Recipe Nouvelle Cuisine per Person
Calculates poulet en cocotte nouvelle cuisine ingredients per person: chicken vegetables butter wine herbs.
Calculator Supreme de Poulet Recipe Nouvelle Cuisine per Person
Calculates supreme de poulet nouvelle cuisine ingredients per person: chicken supreme cream mushrooms butter.
Calculator Loup de Mer Recipe Nouvelle Cuisine per Person
Calculates loup de mer nouvelle cuisine ingredients per person: sea bass lemon fennel olive oil herbs.
Calculator Saint Jacques Recipe Nouvelle Cuisine per Person
Calculates Saint Jacques nouvelle cuisine ingredients per person: scallops butter noisette vanilla olive oil.
Calculator Foie Gras Recipe Nouvelle Cuisine per Person
Calculates foie gras nouvelle cuisine ingredients per person: foie gras cognac port figs toasted brioche.
Calculator Truffe Noire Recipe Nouvelle Cuisine per Person
Calculates truffe noire nouvelle cuisine quantity per person: shaved truffle olive oil butter applications.
Calculator Veloute Recipe Nouvelle Cuisine per Person
Calculates veloute nouvelle cuisine ingredients per person: butter flour light stock cream mother sauce.
Calculator Soubise Sauce Recipe Nouvelle Cuisine per Person
Calculates soubise sauce nouvelle cuisine ingredients per person: onions butter bechamel rice cream.
Calculator Beurre Blanc Recipe Nouvelle Cuisine per Person
Calculates beurre blanc nouvelle cuisine ingredients per person: butter vinegar white wine shallot reduction.
Calculator Sabayon Recipe Nouvelle Cuisine per Person
Calculates sabayon nouvelle cuisine ingredients per person: egg yolks sugar white wine Marsala double boiler.
Calculator Souffle Recipe Nouvelle Cuisine Quantity per Person
Calculates souffle nouvelle cuisine ingredients per person: egg whites yolks flour milk butter Gruyere cheese.
Calculator Racing Sim iRacing Time Season Category
Estimates time to complete iRacing season per category Rookie D C B A Pro cars tracks SOF hours.
Calculator Racing Sim rFactor 2 Time to Complete Season
Estimates time to complete rFactor 2 season GT3 LMP F1 stock car endurance hours expected.
Calculator Racing Sim Assetto Corsa Time Season
Estimates time to complete Assetto Corsa season GT3 Hypercar F1 Trofeo cars tracks hours expected.
Calculator Racing Sim Automobilista 2 Time to Complete
Estimates time to complete Automobilista 2 career championships Stock Car kart formula classic expected.
Calculator Racing Sim Richard Burns Rally Time to Complete
Estimates time to complete Richard Burns Rally championships specials classic WRC realistic simulation hours.
Calculator Racing Sim DiRT Rally 2 Time to Complete
Estimates time to complete DiRT Rally 2.0 career rally historic cross daily weekly monthly hours expected.
Calculator Racing Sim EA Sports WRC Time to Complete
Estimates time to complete EA Sports WRC builder career championship moments rallies current season hours.
Calculator Racing Sim Le Mans Ultimate Time to Complete
Estimates time to complete Le Mans Ultimate season FIA WEC Hypercar LMP2 LMGT3 hours expected endurance.
Calculator Racing Sim ACC Time to Complete Season
Estimates time to complete Assetto Corsa Competizione season GT3 GT4 Cup Challenge GTWC SRO Intercontinental hours.
Calculator Racing Sim Assetto Corsa Evo Time to Complete Season
Estimates time to complete Assetto Corsa Evo season career open world circuits hours expected.
Calculator Racing Sim GRID Legends Time to Complete
Estimates time to complete GRID Legends story driven Showdown multiplayer career season hours expected.
Calculator Racing Sim Project Cars 3 Time to Complete
Estimates time to complete Project Cars 3 career Rookie Pro Elite GT Hypercar classes event hours expected.
Calculator Racing Sim Shift 2 Unleashed Time to Complete
Estimates time to complete Need for Speed Shift 2 Unleashed career FIA GT1 GT3 modified invitational hours.
Calculator Three.js Render Time Meshes FPS
Estimates Three.js render time by number of meshes draw calls geometries textures target FPS desktop mobile.
Calculator Three.js Bundle Size in MB Dependencies
Estimates Three.js bundle size in MB including loaders shaders postprocessing OrbitControls optional modules.
Calculator Three.js Startup Time of App
Estimates Three.js app startup time renderer init scene loaders textures models ms for first paint.
Calculator Babylon.js Render Time Meshes FPS
Estimates Babylon.js render time by meshes draw calls instances thinInstances target FPS desktop mobile.
Calculator Babylon.js Bundle Size in MB Dependencies
Estimates Babylon.js bundle size in MB core loaders GUI materials postprocess inspector optional modules.
Calculator Babylon.js Startup Time of App
Estimates Babylon.js app startup time engine scene glTF loaders textures models ms until first paint.
Calculator WebGPU Render Time Meshes FPS
Estimates WebGPU render time by meshes draw calls compute shaders bind groups target FPS browser.
Calculator WebGL Render Time Meshes FPS
Estimates raw WebGL render time by meshes draw calls uniforms texture binds target FPS browser compatibility.
Calculator PixiJS Throughput Sprites per Second
Estimates PixiJS sprites throughput batched per draw call atlas textures FPS 2D graphics canvas WebGL renderer.
Calculator Phaser Throughput Sprites per Second
Estimates Phaser 3 sprites throughput per second physics arcade matter renderer WebGL canvas 2D games.
Calculator A-Frame Render Time Scenes FPS
Estimates A-Frame VR/AR render time entities components meshes target FPS desktop mobile Quest.
Calculator React Three Fiber Render Time FPS
Estimates React Three Fiber render time meshes reconciliation virtual DOM fibers hooks performance overhead React.
Calculator Asthma Person PEF Peak Expiratory Flow Range
Estimates PEF peak expiratory flow range by age height sex green yellow red zones L/min.
Calculator Asthma Person FEV1 Forced Expiratory Volume
Calculator Asthma Person FEV1 forced expiratory volume in 1 second by age height sex predicted liters reference value.
Calculator Asthma Person FEV1 FVC Ratio Tiffeneau
Calculates FEV1/FVC ratio Tiffeneau index asthma COPD obstructive restrictive pattern spirometry diagnosis.
Calculator Asthma Budesonide Dose Person mcg per Day
Calculates inhaled budesonide dose asthma adult child low medium high range GINA mcg day ICS.
Calculator Asthma Fluticasone Dose Person mcg per Day
Calculates inhaled fluticasone dose asthma adult child propionate furoate low medium high range GINA mcg day.
Calculator Asthma Beclomethasone Dose Person mcg per Day
Calculates inhaled beclomethasone dose asthma adult child CFC HFA low medium high GINA range mcg day.
Calculator Asthma Formoterol Dose Person mcg per Day
Calculates formoterol LABA dose asthma adult child SMART MART maintenance reliever ICS combination mcg day GINA.
Calculator Asthma Salmeterol Dose Person mcg per Day
Calculates salmeterol LABA dose asthma adult child always with ICS fluticasone fixed combination Seretide mcg day.
Calculator Asthma Montelukast Dose mg Person per Day
Calculates montelukast antileukotriene dose asthma rhinitis age range adult child infant 4 5 10 mg day.
Calculator Asthma Omalizumab Dose mg Person
Calculates omalizumab anti IgE dose severe allergic asthma body weight serum IgE mg every 2 or 4 weeks.
Calculator Asthma Mepolizumab Dose mg Person
Calculates mepolizumab anti IL5 dose severe eosinophilic asthma adult adolescent 100 mg SC every 4 weeks eosinophils.
Calculator Asthma Benralizumab Dose mg Person
Calculates benralizumab anti IL5R dose severe eosinophilic asthma 30 mg SC induction and maintenance adult adolescent.
Calculator Tacos al Pastor Street Recipe per Person
Calculates tacos al pastor street food quantity pork trompo pineapple onion cilantro corn tortilla per person.
Calculator Tacos Carnitas Street Recipe per Person
Calculates tacos carnitas Michoacan street food pork confit lard corn tortilla onion cilantro lime per person.
Calculator Tacos Barbacoa Street Recipe per Person
Calculates tacos barbacoa lamb pit cooked maguey consomme corn tortilla onion cilantro per person.
Calculator Tacos Asada Street Recipe per Person
Calculates tacos carne asada grilled beef corn tortilla guacamole onion cilantro lime northern street food per person.
Calculator Tacos Suadero Street Recipe per Person
Calculates tacos suadero beef brisket lard cooked corn tortilla onion cilantro lime CDMX street food per person.
Calculator Tlacoyos Street Recipe per Person Quantity
Calculates tlacoyos blue corn masa beans cheese nopal salsa CDMX prehispanic street food quantity per person.
Calculator Quesadillas Street Recipe per Person Quantity
Calculates quesadillas corn masa Oaxaca cheese mushrooms squash flower huitlacoche CDMX street food per person.
Calculator Mexican Tortas Street Recipe per Person Quantity
Calculates Mexican tortas sandwich telera bolillo beans avocado jalapeno carnitas milanesa street food per person.
Calculator Elotes Mexican Street Recipe per Person Quantity
Calculates elotes corn on the cob skewer mayonnaise cotija cheese chile lime Mexican street food per person.
Calculator Esquites Mexican Street Recipe per Person Quantity
Calculates esquites corn kernels cup mayonnaise epazote cotija chile lime CDMX street food per person quantity.
Calculator Aguas Frescas Mexican Street Drink per Person
Calculates aguas frescas jamaica horchata tamarindo limon melon fruit water sugar Mexican street drink per person.
Calculator Mexican Paletas Popsicle Street Recipe per Person
Calculates Mexican paletas popsicles natural fruit water mango strawberry lime tamarind street food per person.
Calculator Churros Rellenos Filled Street Recipe per Person
Calculates churros rellenos filled dulce de leche cajeta chocolate nutella sugar cinnamon Mexican street food per person.
Calculator Beat-em-up Double Dragon Time to Complete
Estimates time to complete Double Dragon arcade NES port based on players stages deaths and difficulty.
Calculator Beat-em-up Streets of Rage Time to Complete
Estimates time to complete Streets of Rage Bare Knuckle Mega Drive based on players stages deaths difficulty.
Calculator Beat-em-up Streets of Rage 2 Time
Estimates Streets of Rage 2 Mega Drive time based on players stages deaths difficulty Mania Hardest Easy.
Calculator Beat-em-up Streets of Rage 3 Time
Estimates Streets of Rage 3 Bare Knuckle 3 Mega Drive multiple endings based on players stages deaths.
Calculator Beat-em-up Streets of Rage 4 Time
Estimates Streets of Rage 4 Dotemu 2020 time based on players stages deaths difficulty Mr X Nightmare DLC.
Calculator Beat-em-up Final Fight Time to Complete
Estimates Final Fight Capcom CPS1 arcade time based on players stages deaths difficulty Haggar Cody Guy.
Calculator Beat-em-up Final Fight 2 Time
Estimates Final Fight 2 SNES Capcom time based on players stages deaths difficulty Haggar Maki Carlos.
Calculator Beat-em-up Cadillacs and Dinosaurs Time
Estimates Cadillacs and Dinosaurs Capcom CPS1 1993 arcade time based on players stages deaths difficulty.
Calculator Beat-em-up Knights of the Round Time
Estimates Knights of the Round Capcom CPS1 1991 arcade Arthur Lancelot Perceval time based on deaths difficulty.
Calculator Beat-em-up TMNT Arcade Time
Estimates Teenage Mutant Ninja Turtles Konami 1989 arcade 4 players time based on stages deaths difficulty.
Calculator Beat-em-up X-Men Arcade Time
Estimates X-Men Arcade Konami 1992 6 players time based on stages deaths difficulty Wolverine Cyclops Storm.
Calculator Beat-em-up The King of Dragons Time
Estimates The King of Dragons Capcom CPS1 1991 medieval fantasy time based on stages deaths difficulty.
Calculator Beat-em-up Warriors of Fate Time
Estimates Warriors of Fate Tenchi wo Kurau 2 Capcom CPS1 1992 Three Kingdoms time based on stages deaths.
Calculator WebRTC Throughput Connections per Second
Estimates WebRTC PeerConnection connections per second SDP exchange ICE candidates STUN TURN signaling.
Calculator WebRTC STUN Overhead ms
Estimates STUN protocol overhead milliseconds NAT traversal binding request response server reflexive candidate.
Calculator WebRTC TURN Overhead ms
Estimates TURN protocol overhead milliseconds relay server allocate permission channel bind symmetric NAT.
Calculator WebRTC SDP Overhead bytes
Estimates SDP Session Description Protocol size bytes WebRTC offer answer codec ICE candidates m-lines.
Calculator WebRTC Data Channel Throughput seconds
Estimates WebRTC RTCDataChannel SCTP message ordered reliable file transfer throughput bytes per second.
Calculator WebRTC Audio Codec Overhead kbps
Estimates WebRTC audio codec overhead Opus G711 G722 iLBC PCMU PCMA kbps bitrate call quality.
Calculator WebRTC Video Codec Overhead kbps
Estimates WebRTC video codec overhead VP8 VP9 H264 AV1 kbps bitrate quality resolution 720p 1080p.
Calculator WebRTC VP9 vs H264 Bitrate
Compares VP9 versus H.264 bitrate same quality WebRTC encoding compression efficiency 30 percent reduction.
Calculator WebRTC AV1 vs VP9 Bitrate
Compares AV1 versus VP9 bitrate same quality WebRTC encoding compression reduction savings 30 percent.
Calculator Mediasoup Throughput RPS
Estimates mediasoup SFU Selective Forwarding Unit Node.js worker C++ requests per second rooms peers producers.
Calculator Jitsi Meet Throughput Connections
Estimates Jitsi Meet videobridge SFU simultaneous connections conferences participants Octo cascading bridge.
Calculator LiveKit Throughput Connections seconds
Estimates LiveKit SFU Go rooms participants tracks publishers subscribers simulcast SVC AV1 connections.
Calculator Hepatology Person ALT Range
Evaluates ALT alanine aminotransferase SGPT U/L sex age reference normal elevated hepatocellular injury range.
Calculator Hepatology Person AST Range
Evaluates AST aspartate aminotransferase SGOT U/L sex age reference normal elevated AST/ALT ratio alcoholic.
Calculator Hepatology Person GGT Range
Evaluates GGT gamma glutamyl transferase U/L sex reference normal elevated cholestasis alcohol drugs induction.
Calculator Hepatology Person Direct Indirect Bilirubin
Calculates total direct conjugated indirect unconjugated bilirubin fractions mg/dL hepatic hemolytic jaundice.
Calculator Hepatology Person Alkaline Phosphatase Range
Evaluates FA alkaline phosphatase U/L reference normal elevated cholestasis biliary obstruction bone childhood.
Calculator Hepatology Person Albumin Range
Evaluates serum albumin g/dL range reference normal low hypoalbuminemia liver synthetic function chronic cirrhosis.
Calculator Hepatology Person INR Hepatic
Evaluates INR international normalized ratio prothrombin liver synthetic function K dependent factors cirrhosis.
Calculator Hepatology Person FIB-4 Fibrosis Score
Calculates FIB-4 noninvasive liver fibrosis score age AST ALT platelets stratification NAFLD viral cirrhosis.
Calculator Hepatology Person APRI
Calculates APRI AST to Platelet Ratio Index noninvasive liver fibrosis cirrhosis hepatitis C WHO stratification.
Calculator Hepatology Person MELD Score
Calculates MELD Model for End-Stage Liver Disease creatinine bilirubin INR sodium liver transplant prognosis.
Calculator Hepatology Person Child-Pugh Score
Calculates Child-Pugh A B C cirrhosis score bilirubin albumin INR ascites encephalopathy prognosis.
Calculator Hepatology Person Elastography kPa
Evaluates transient liver elastography kPa FibroScan stiffness fibrosis F0 F4 stages noninvasive cirrhosis.
Calculator Cuy Northern Peruvian Regional Recipe per Person
Calculates Northern Peruvian regional cuy guinea pig fried garlic cumin salt potato corn cancha per person.
Calculator Juane Peruvian Amazon Recipe per Person
Calculates Peruvian Amazon juane rice chicken olive egg bijao leaf spices Saint John festival per person.
Calculator Tacacho Peruvian Amazon Recipe per Person
Calculates Peruvian Amazon tacacho fried mashed green banana lard cecina chorizo green onion per person.
Calculator Pachamanca Andean Peruvian Recipe per Person
Calculates Andean Peruvian pachamanca lamb pork chicken potato fava corn herbs hot stones per person.
Calculator Rocoto Relleno Arequipa Recipe per Person
Calculates Arequipa rocoto relleno stuffed red chile ground beef onion raisins peanut cheese per person.
Calculator Chairo Peruvian Highlands Recipe per Person
Calculates Puno highland chairo soup lamb chuno fava wheat potato onion garlic oregano regional per person.
Calculator Papa Rellena Northern Peruvian Recipe per Person
Calculates Northern Peruvian papa rellena stuffed potato ground beef onion raisins olive egg fried per person.
Calculator Arroz Verde Northern Peruvian Recipe per Person
Calculates Northern Peruvian arroz verde cilantro spinach chicken aji amarillo dark beer bell pepper per person.
Calculator Seco Cordero Northern Peruvian Recipe per Person
Calculates Northern Peruvian seco de cordero lamb cilantro dark beer onion garlic aji panca rice beans per person.
Calculator Frejoles Northern Peruvian Recipe per Person
Calculates Northern Peruvian frejoles canario beans butter loche squash onion garlic aji panca regional per person.
Calculator Arroz Zambito Northern Peruvian Recipe per Person
Calculates Northern Peruvian arroz zambito dessert rice milk chancaca clove cinnamon raisin coconut regional per person.
Calculator Mazamorra Northern Peruvian Recipe per Person
Calculates Northern Peruvian mazamorra morada purple corn pineapple peach apple camu camu sweet potato sugar per person.
Calculator Chicha Morada Peruvian Drink Recipe per Person
Calculates Peruvian chicha morada purple corn drink pineapple apple cinnamon clove lime sugar regional per person.
Calculator Classic Puzzle Tetris Original Time
Estimates Tetris original Game Boy NES Alexei Pajitnov lines level speed until game over per player.
Calculator Classic Puzzle Dr Mario Original Time
Estimates Dr Mario NES Game Boy 1990 viruses bottle level speed Low Med Hi per session per player.
Calculator Classic Puzzle Puyo Puyo Original Time
Estimates Puyo Puyo Compile MSX 1991 chains colors blobs versus Tokoton mode per session per player.
Calculator Classic Puzzle Meanie Original Time
Estimates Meanie classic 16 bit puzzle blocks colors chain arcade competitive mode per player.
Calculator Classic Puzzle Columns Original Time
Estimates Columns Sega Mega Drive Game Gear 1990 gems 3 colors trio match column per session per player.
Calculator Classic Puzzle Bust a Move Original Time
Estimates Bust-a-Move Taito 1994 Puzzle Bobble bubbles aim pop dragons Bub Bob per session per player.
Calculator Classic Puzzle Magical Drop Original Time
Estimates Magical Drop Data East Neo Geo 1995 balls tarot characters chain pull push per session per player.
Calculator Classic Puzzle Tetris Attack Time
Estimates Tetris Attack Panel de Pon SNES 1995 blocks swap chain combo Yoshi per session per player.
Calculator Classic Puzzle Puzzle Bobble Original Time
Estimates Puzzle Bobble Taito 1994 32 stages bubbles aim dragons Bub Bob arcade per session per player.
Calculator Classic Puzzle Blocked Time
Estimates Blocked classic puzzle falling blocks match colors line clear simple mechanic per session.
Calculator Classic Puzzle 2048 Original Time
Estimates 2048 Gabriele Cirulli 2014 grid 4x4 swipe merge numbers power 2 reach 2048 per session.
Calculator Classic Puzzle Threes Time
Estimates Threes Sirvo 2014 grid 4x4 swipe merge multiples 3 face cards blue red per session per player.
Calculator Classic Puzzle 1010 Time
Estimates 1010 Gram Games 2014 grid 10x10 Tetris pieces line column clear without rotation per session per player.
Calculator Express Middleware CORS Overhead ms
Estimates Express CORS middleware overhead per request headers preflight OPTIONS allowed origin.
Calculator Express Middleware Helmet Overhead ms
Estimates Express Helmet middleware overhead per request security headers CSP HSTS X-Frame-Options.
Calculator Express Middleware Rate Limit Overhead ms
Estimates express-rate-limit overhead per request window IP store memory Redis counter RateLimit headers.
Calculator Express Middleware CSRF Overhead ms
Estimates csurf csrf-csrf overhead per request session cookie token POST PUT DELETE validation.
Calculator Express Middleware Body Parser Overhead ms
Estimates body-parser express.json express.urlencoded overhead per request payload bytes parsing.
Calculator Express Middleware Multer Overhead ms
Estimates multer multipart/form-data upload overhead per file MB disk memory buffer fields validation.
Calculator Express Middleware Compression Overhead ms
Estimates compression gzip brotli overhead per response size KB level 1-9 threshold filter accept-encoding.
Calculator Express Middleware Morgan Overhead ms
Estimates morgan HTTP logger overhead per request format combined common short tiny stream file write.
Calculator Express Middleware Passport Overhead ms
Estimates passport authenticate session deserialize strategies local jwt oauth2 facebook google github overhead.
Calculator Express Middleware JWT Overhead ms
Estimates express-jwt jsonwebtoken verify HS256 RS256 ES256 algorithm header bearer token blacklist overhead.
Calculator Express Middleware Validation Overhead ms
Estimates express-validator joi zod yup ajv schema body query params validation rules type error overhead.
Calculator Express Middleware Csurf Overhead ms
Estimates csurf legacy deprecated 2022 token cookie session SameSite HMAC validation POST sensitive overhead.
Calculator Cardiology Electrophysiology Person Heart Rate
Calculates heart rate FC bpm ECG ranges normal tachycardia bradycardia adult resting 60-100 reference.
Calculator Cardiology Electrophysiology Person PR Interval
Calculates PR interval ECG ms P wave onset QRS complex AV node conduction block normal 120-200 ms.
Calculator Cardiology Electrophysiology Person QRS Interval
Calculates QRS complex duration ECG ms ventricular activation right left bundle branch block normal up to 120 ms.
Calculator Cardiology Electrophysiology Person QT Interval
Calculates QT interval ECG ms QRS onset T wave end ventricular depolarization repolarization normal 350-450.
Calculator Cardiology Electrophysiology Person QT Corrected
Calculates QT corrected QTc Bazett Fridericia Framingham ECG ms FC bpm normalized male female reference.
Calculator Cardiology Electrophysiology Person ST Segment
Calculates ST segment ECG mm millivolts elevation depression ischemia infarction STEMI NSTEMI repolarization.
Calculator Cardiology Electrophysiology Person Tachycardia Criteria
Calculates tachycardia criteria FC ECG sinus supraventricular ventricular QRS narrow wide regular irregular.
Calculator Cardiology Electrophysiology Person Bradycardia Criteria
Calculates bradycardia criteria FC ECG sinus AV nodal junctional ventricular escape rhythm symptom.
Calculator Cardiology Electrophysiology Person Atrial Fibrillation Criteria
Calculates atrial fibrillation AF criteria ECG irregular RR absence P waves f waves CHA2DS2-VASc anticoagulation.
Calculator Cardiology Electrophysiology Person Atrial Flutter Criteria
Calculates atrial flutter criteria ECG F waves sawtooth 250-350 bpm conduction 2:1 3:1 4:1 isthmus ablation.
Calculator Cardiology Electrophysiology Person AV Block 1 2 3 degree
Calculates AV block degrees 1 2 Mobitz I Wenckebach II Mobitz II 3 BAVT dissociation PR ECG pacemaker.
Calculator Cardiology Electrophysiology Person Wolff Parkinson White Syndrome
Calculates WPW Wolff Parkinson White criteria ECG accessory pathway delta wave short PR wide QRS orthodromic tachycardia.
Calculator Sicilian Arancini Recipe per Person Quantity
Calculates Sicilian arancini rice balls saffron ragu mozzarella peas breaded fried per person quantity.
Calculator Sicilian Pasta alla Trapanese Recipe per Person
Calculates Sicilian pasta alla trapanese tomato almond garlic basil pesto busiate Trapani regional per person.
Calculator Sicilian Pasta con Sarde Recipe per Person
Calculates Sicilian pasta con le sarde sardines wild fennel raisins pine nuts saffron bucatini Palermo per person.
Calculator Sicilian Pasta alla Norma Classic Recipe per Person
Calculates pasta alla Norma Catania fried eggplant tomato ricotta salata basil pasta Bellini per person.
Calculator Sicilian Cucina Fave Recipe per Person
Calculates Sicilian cucina fava beans fresh dry macco di fave soup puree herbs oregano olive oil regional per person.
Calculator Sicilian Cucina Pomodori Recipe per Person
Calculates Sicilian cucina pomodori tomato ciliegino datterino San Marzano sauce preserve passata regional per person.
Calculator Sicilian Cannoli Recipe per Person Quantity
Calculates Sicilian cannoli fried shell ricotta sugar chocolate candied fruit pistachio marsala Palermo per person quantity.
Calculator Sicilian Cassata Recipe per Person Quantity
Calculates Sicilian cassata sponge cake ricotta sugar marzipan candied fruit chocolate decorated Easter per person quantity.
Calculator Sicilian Cuccia Recipe per Person
Calculates Sicilian cuccia cooked wheat ricotta chocolate candied fruit Saint Lucy December 13 traditional per person.
Calculator Sicilian Pistachio Gelato Recipe per Person
Calculates Sicilian pistachio gelato Bronte DOP pistachio milk sugar cream artisanal dense regional per person.
Calculator Sicilian Granita Recipe per Person
Calculates Sicilian granita shaved ice lemon almond coffee strawberry pistachio brioche breakfast per person.
Calculator Arancini Rice Balls Recipe per Person
Calculates arancini rice balls saffron filling meat cheese butter fried breaded Sicily per person.
Calculator Sicilian Marsala Drink Recipe per Person
Calculates Sicilian Marsala fortified wine DOC dry sweet aged aperitif digestif culinary per person.
Calculator Classic Shmup R-Type Time to Complete
Estimates R-Type Irem 1987 arcade ships Bydo Force pod 8 stages difficulty classic shoot em up per player.
Calculator Classic Shmup Gradius Time to Complete
Estimates Gradius Konami 1985 arcade Vic Viper Bacterion power ups options laser shield NES MSX per player.
Calculator Classic Shmup Galaxian Time to Complete
Estimates Galaxian Namco 1979 arcade aliens formation kamikaze colored enemies per session per player.
Calculator Classic Shmup Xevious Time to Complete
Estimates Xevious Namco 1982 arcade Solvalou aerial bombs ground Andor Genesis areas Nazca per player.
Calculator Classic Shmup 1942 Time to Complete
Estimates 1942 Capcom 1984 arcade P-38 Pacific World War II zeros power ups loops per player.
Calculator Classic Shmup 1943 Time to Complete
Estimates 1943 The Battle of Midway Capcom 1987 arcade P-38 Yamato boss Pacific 16 stages per player.
Calculator Classic Shmup Zaxxon Time to Complete
Estimates Zaxxon Sega 1982 arcade isometric ships space fortress altitude radar fuel per player.
Calculator Classic Shmup Tempest Time to Complete
Estimates Tempest Atari 1981 arcade vector colors geometric tube Dave Theurer trackball waves per player.
Calculator Classic Shmup Robotron Time to Complete
Estimates Robotron 2084 Williams 1982 arcade twin stick Eugene Jarvis humans robots waves per player.
Calculator Classic Shmup Vanguard Time to Complete
Estimates Vanguard SNK 1981 arcade multidirectional shooter 4 directions fuel Gond final per player.
Calculator Classic Shmup Time Pilot Time to Complete
Estimates Time Pilot Konami 1982 arcade time travel 1910 2001 planes helicopters UFOs eras per player.
Calculator Classic Shmup Juno First Time to Complete
Estimates Juno First Konami 1983 arcade behind perspective Vipers humanoids Beemoids stages waves per player.
Calculator Classic Shmup Strikers 1945 Time to Complete
Estimates Strikers 1945 Psikyo 1995 arcade bullet hell planes World War II transforming bosses per player.
Calculator GitLab CI Pipeline Time Jobs
Estimates total pipeline time GitLab CI parallel sequential jobs stages dependencies shared specific runners.
Calculator GitLab CI Runners Throughput Jobs per Second
Estimates jobs per second throughput GitLab CI runners concurrent shared specific docker kubernetes shell.
Calculator GitLab CI Cache Overhead MB
Estimates cache MB overhead GitLab CI dependencies node modules vendor pip key policy upload download.
Calculator GitLab CI Artifacts Overhead MB
Estimates artifacts MB overhead GitLab CI paths exclude expire reports junit coverage SAST DAST.
Calculator Jenkins Pipeline Time Jobs
Estimates total Jenkins pipeline time jobs stages parallel sequential Declarative Scripted Groovy agents.
Calculator Jenkins Plugins Overhead ms
Estimates Jenkins plugins overhead ms Git Pipeline Docker Kubernetes Blue Ocean LDAP Matrix per build.
Calculator Jenkins Master CPU Memory Type
Estimates Jenkins master CPU memory JVM heap PermGen concurrent jobs agents load executors resources.
Calculator Jenkins Agent CPU Memory Type
Estimates Jenkins agent CPU memory JVM executor type permanent cloud Docker Kubernetes SSH JNLP.
Calculator GitHub Actions Pipeline Time Jobs
Estimates total GitHub Actions workflow time parallel matrix sequential jobs needs runners Ubuntu macOS Windows.
Calculator GitHub Actions Runners Throughput
Estimates GitHub Actions hosted runners self hosted concurrency limits plan free pro team enterprise throughput.
Calculator CircleCI Pipeline Time Jobs
Estimates total CircleCI pipeline time jobs workflows orbs executors docker machine macOS resource class.
Calculator Bitbucket Pipelines Time Jobs
Estimates total Bitbucket Pipelines steps parallel caches services Docker self hosted runners build minutes.
Calculator Infectology HIV Person CD4 Range
Calculates CD4 lymphocytes HIV cells per mm3 CDC stage ge500 200-499 lt200 immunosuppression opportunistic.
Calculator Infectology HIV Person Viral Load
Calculates HIV viral load copies per mL log10 undetectable lt50 suppression 200 virological failure ART monitoring.
Calculator Infectology HIV Tenofovir mg per Person
Calculates tenofovir TDF TAF mg adult HIV ART 300 mg day 25 mg day renal function GFR dose adjustment.
Calculator Infectology HIV Lamivudine mg per Person
Calculates lamivudine 3TC mg adult HIV ART 300 mg day 150 mg 12h renal function dose clearance adjustment.
Calculator Infectology HIV Emtricitabine mg per Person
Calculates emtricitabine FTC mg adult HIV ART 200 mg day renal function GFR adjustment combination Truvada.
Calculator Infectology HIV Dolutegravir mg per Person
Calculates dolutegravir DTG mg adult HIV ART 50 mg day INSTI integrase BIC TAF combination Tivicay.
Calculator Infectology HIV Raltegravir mg per Person
Calculates raltegravir RAL mg adult HIV ART 400 mg 12h 1200 mg day INSTI integrase Isentress.
Calculator Infectology HIV Efavirenz mg per Person
Calculates efavirenz EFV mg adult HIV ART 600 mg day 400 mg NNRTI Sustiva night CNS effect dose.
Calculator Infectology HIV Rilpivirine mg per Person
Calculates rilpivirine RPV mg adult HIV ART 25 mg day NNRTI Edurant with food viral load lt100000.
Calculator Infectology HIV Darunavir mg per Person
Calculates darunavir DRV mg adult HIV ART 800 mg day 600 mg 12h booster ritonavir cobicistat PI protease.
Calculator Infectology HIV PrEP Tenofovir mg per Person
Calculates PrEP pre exposure prophylaxis tenofovir emtricitabine TDF FTC 300 200 mg day HIV negative risk.
Calculator Infectology HIV PEP Tenofovir mg per Person
Calculates PEP post exposure prophylaxis tenofovir emtricitabine dolutegravir 28 days exposure HIV accident.
Calculator Greek Salad Mediterranean Recipe per Person
Calculates Greek Mediterranean salad tomato cucumber red onion kalamata olives feta cheese oregano olive oil per person.
Calculator Spanakopita Mediterranean Recipe per Person
Calculates Greek spanakopita Mediterranean pie spinach feta onion dill phyllo dough butter baked per person.
Calculator Moussaka Mediterranean Recipe per Person
Calculates Greek moussaka Mediterranean eggplant ground meat tomato bechamel cheese baked traditional layers per person.
Calculator Paella Mediterranean Recipe per Person
Calculates Valencian Mediterranean paella bomba rice saffron chicken rabbit seafood snails Valencia traditional per person.
Calculator Gazpacho Mediterranean Recipe per Person
Calculates Andalusian gazpacho Mediterranean cold tomato cucumber bell pepper bread olive oil vinegar Spanish summer per person.
Calculator Bouillabaisse Mediterranean Recipe per Person
Calculates Marseille bouillabaisse Mediterranean fish seafood saffron fennel rouille croutons Provence traditional per person.
Calculator Tapas Mediterranean Recipe per Person
Calculates Spanish tapas Mediterranean variety small portions jamon cheese olives tortilla croquettes bar per person.
Calculator Bruschetta Mediterranean Recipe per Person
Calculates Italian bruschetta Mediterranean toasted bread tomato basil garlic olive oil mozzarella appetizer Italy per person.
Calculator Pizza Mediterranean Recipe per Person
Calculates Mediterranean pizza thin dough tomato sauce mozzarella basil olive oil wood oven Neapolitan traditional per person.
Calculator Pasta Mediterranean Recipe per Person
Calculates Italian pasta Mediterranean spaghetti penne tomato sauce olive oil garlic basil parmesan traditional per person.
Calculator Tzatziki Mediterranean Recipe per Person Quantity 2
Calculates Greek tzatziki Mediterranean Greek yogurt cucumber garlic dill olive oil lemon sauce side dish per person quantity.
Calculator Baklava Mediterranean Recipe per Person Quantity 2
Calculates Mediterranean baklava phyllo dough walnuts pistachios syrup honey cinnamon butter dessert Turkey Greece per person quantity.
Calculator Ouzo Mediterranean Drink Recipe per Person
Calculates Greek ouzo Mediterranean anise distilled aperitif ice water mezedes traditional Greece bar drink per person.
Calculator Sport Sim NBA 2K Time to Complete Season
Estimates NBA 2K simulation 82 game season MyCareer MyTeam playoffs draft sim basketball USA per player.
Calculator Sport Sim FIFA Time to Complete Season 2
Estimates FIFA simulation soccer season career mode games league cup Champions Ultimate Team EA Sports per player.
Calculator Sport Sim Madden Time to Complete Season
Estimates Madden NFL simulation American football season 17 games Franchise Mode playoffs Super Bowl EA per player.
Calculator Sport Sim NHL Time to Complete Season
Estimates NHL simulation hockey season 82 games Be a Pro Franchise Mode Stanley Cup playoffs EA per player.
Calculator Sport Sim MLB The Show Time to Complete
Estimates MLB The Show simulation baseball 162 games Road to the Show Franchise World Series Sony exclusive per player.
Calculator Sport Sim PGA 2K Time to Complete Season
Estimates PGA Tour 2K simulation golf MyCareer tournaments Majors Masters US Open The Open Championship per player.
Calculator Sport Sim Tennis Time to Complete Season
Estimates Tennis simulation season ATP WTA Grand Slams Roland Garros Wimbledon US Open Australian Open per player.
Calculator Sport Sim Cricket Time to Complete Season
Estimates Cricket simulation season IPL Test ODI T20 Ashes Big Bash League BBL ICC World Cup per player.
Calculator Sport Sim Rugby Time to Complete Season
Estimates Rugby simulation season Six Nations Rugby Championship Super Rugby World Cup Premiership Top 14 per player.
Calculator Sport Sim Handball Time to Complete Season
Estimates Handball simulation season EHF Champions League Bundesliga Liga Asobal Olympics World IHF per player.
Calculator Sport Sim Volleyball Time to Complete Season
Estimates Volleyball simulation season FIVB Superliga Volleyball Champions League Olympics World Cup per player.
Calculator Sport Sim Baseball Time to Complete Season
Estimates Baseball simulation season MLB NPB KBO 162 games All Star World Series Postseason Bullpen Manager per player.
Calculator Sport Sim Bowling Time to Complete
Estimates Bowling simulation PBA Tour tournaments strikes spares frames solo doubles team online match per player.
Calculator AWS Lambda Cold Start Time Type
Estimates AWS Lambda cold start time runtime Node Python Java Go init duration VPC ENI provisioned concurrency.
Calculator AWS Lambda Warm Start Time Type
Estimates AWS Lambda warm start time hot execution reused container runtime Node Python Java Go memory.
Calculator AWS Lambda Memory MB Pricing
Calculates AWS Lambda pricing memory MB GB seconds requests 128 to 10240 MB free tier 1M requests pricing tier.
Calculator AWS Lambda Throughput RPS Concurrency
Estimates AWS Lambda throughput requests per second concurrent executions reserved concurrency burst limit account.
Calculator AWS Step Functions Throughput RPS
Estimates AWS Step Functions throughput executions per second state machine express standard workflows transitions.
Calculator AWS Step Functions Average Execution Time
Estimates AWS Step Functions average execution time state machine standard express workflow states transitions parallel.
Calculator AWS Step Functions State Overhead Bytes
Estimates AWS Step Functions state input output bytes overhead payload limit 256 KB intermediate loads S3 ARN.
Calculator AWS SQS Throughput Messages per Second
Estimates AWS SQS Standard FIFO throughput messages per second limit 300 or high throughput batch in flight.
Calculator AWS SNS Throughput Messages per Second
Estimates AWS SNS topics Standard FIFO throughput messages per second publishes subscriptions filter delivery.
Calculator AWS EventBridge Throughput Events per Second
Estimates AWS EventBridge events per second throughput bus rules filters archive replay schema registry SaaS.
Calculator AWS Kinesis Throughput Shards per Second
Estimates AWS Kinesis Data Streams shards records per second write read provisioned on demand limits.
Calculator AWS MSK Kafka Throughput RPS
Estimates AWS MSK Kafka cluster brokers records per second produce consume topics partitions replicas throughput.
Calculator Advanced Geriatrics Multimorbidity Person Criteria
Evaluates multimorbidity elderly criteria number chronic conditions more than 2 diseases polypharmacy functionality quality of life.
Calculator Advanced Geriatrics Tardive Dyskinesia Person Criteria
Evaluates tardive dyskinesia elderly criteria involuntary movements antipsychotic exposure time AIMS scale diagnosis.
Calculator Advanced Geriatrics Dysautonomia Person Criteria
Evaluates dysautonomia elderly criteria orthostatic hypotension syncope heart rate variability sweating diagnosis.
Calculator Advanced Geriatrics Dysphagia Person Criteria
Evaluates dysphagia elderly criteria EAT-10 scale water swallow test aspiration pneumonia broncoaspiration speech therapy.
Calculator Advanced Geriatrics Cognitive Dysfunction Person MMSE
Evaluates cognitive dysfunction elderly MMSE Mini Mental State Examination 30 points cutoff schooling dementia mild moderate severe.
Calculator Advanced Geriatrics Mini Cog Person Criteria
Evaluates Mini Cog elderly criteria 3 words clock drawing rapid screening dementia 3 minute cognition test.
Calculator Advanced Geriatrics Clock Drawing Person Criteria
Evaluates clock drawing test elderly criteria 10 points circle numbers hands specific time executive visuoconstructive function.
Calculator Advanced Geriatrics Falls Screening Person Criteria
Evaluates falls screening elderly criteria previous history TUG Timed Up Go gait balance Berg POMA risk factors.
Calculator Advanced Geriatrics Incontinence Screening Person
Evaluates urinary incontinence screening elderly criteria urgency stress mixed functional nocturia frequency voiding diary.
Calculator Advanced Geriatrics Frailty Screening Person Fried
Evaluates frailty screening elderly criteria Fried weight loss fatigue grip strength gait speed physical activity.
Calculator Advanced Geriatrics Vit D Deficiency Screening Person
Evaluates vitamin D deficiency screening elderly criteria 25 OH D ng mL sufficient insufficient deficient replacement cholecalciferol.
Calculator Advanced Geriatrics Vit B12 Deficiency Screening Person
Evaluates vitamin B12 deficiency screening elderly criteria cyanocobalamin pg mL deficient methylmalonic homocysteine IM oral replacement.
Calculator Jollof Rice West African Recipe Person Quantity
Calculates West African jollof rice long grain rice tomato sauce pepper onion scotch bonnet broth curry thyme per person.
Calculator Egusi Soup West African Recipe Person Quantity
Calculates West African egusi soup ground melon seeds palm oil meat smoked fish bitter leaves per person.
Calculator Fufu West African Recipe Person Quantity
Calculates West African fufu cassava yam plantain cooked pounded elastic dough served with soups per person.
Calculator Pounded Yam West African Recipe Person Quantity
Calculates West African pounded yam white yam boiled pounded mortar smooth consistency served with egusi per person.
Calculator Suya West African Recipe Person Quantity
Calculates West African suya beef skewers yaji spice peanut ginger pepper grilled over coals per person.
Calculator Puff Puff West African Recipe Person Quantity
Calculates West African puff puff fried dough balls flour sugar yeast deep fried in oil per person.
Calculator Chin Chin West African Recipe Person Quantity
Calculates West African chin chin crunchy snack flour sugar butter nutmeg cut into cubes deep fried per person.
Calculator Akara West African Recipe Person Quantity
Calculates West African akara black eyed pea fritters onion pepper deep fried crispy outside soft inside per person.
Calculator Banga Soup West African Recipe per Person
Calculates West African banga soup palm fruit pulp dende oil smoked fish prawns beletientien leaves spices per person.
Calculator Pepper Soup West African Recipe per Person
Calculates West African pepper soup spicy broth meat fish ginger calabar peppers traditional aromatic per person.
Calculator Ogi West African Recipe Person Quantity
Calculates West African ogi porridge corn sorghum fermented sour traditional breakfast per person quantity.
Calculator Zobo West African Drink per Person
Calculates West African zobo drink hibiscus boiled ginger clove pineapple sugar ice refreshing per person.
Calculator Palm Wine West African Drink per Person
Calculates West African palm wine palm tree sap fermented traditional served fresh per person quantity.
Calculator Auto Chess Mod TFT Set Time
Estimates time to complete Teamfight Tactics set auto chess Riot Games matches ranked LP points.
Calculator Auto Chess Mod Underlords Set Time
Estimates time to complete Dota Underlords set Valve auto chess heroes alliances ranked matches.
Calculator Auto Chess Mod Dota Auto Time
Estimates time to complete Dota Auto Chess original Drodo Studio mod Dota 2 heroes synergies.
Calculator Auto Chess Mod Mobile Legends Magic Chess Time
Estimates time to complete Magic Chess Mobile Legends Bang Bang Moonton auto chess synergies heroes.
Calculator Auto Chess Mod Hearthstone Mercenaries Time
Estimates time to complete Hearthstone Mercenaries Blizzard auto chess mercenaries task farming treasures.
Calculator Auto Chess Mod Magic Arena Brawl Time
Estimates time to complete Magic Arena Brawl Wizards auto chess monarchs command zone matches.
Calculator Auto Chess Mod Runeterra Time
Estimates time to complete Legends of Runeterra Path of Champions auto chess Riot Games matches.
Calculator Auto Chess Mod Godfall Auto Time
Estimates time to complete Godfall auto battler Counterplay Games matches valor plates magic.
Calculator Auto Chess Mod Pokemon TFT Time
Estimates time to complete Pokemon Auto Chess fan made mod inspired TFT pokemons types synergies.
Calculator Auto Chess Mod Might Magic Chess Time
Estimates time to complete Might and Magic Chess Royale Ubisoft auto chess campaign PvP ranked.
Calculator Auto Chess Mod PCCA Time
Estimates time to complete PC Auto Chess matches multiplayer pieces heroes alliance points ranked.
Calculator Auto Chess Mod Bandle City Time
Estimates time to complete Bandle City auto chess mod inspired League of Legends Yordles region.
Calculator Auto Chess Mod Team Fight Time
Estimates time to complete Team Fight auto chess matches team comps synergies heroes ranked points.
Calculator GCP Cloud Run Cold Start Time Type
Estimates cold start time GCP Cloud Run per type container image runtime size dependencies region.
Calculator GCP Cloud Run Warm Start Time Type
Estimates warm start time GCP Cloud Run per type reused instance pre warmed container min instances.
Calculator GCP Cloud Run Memory MB Pricing
Estimates Cloud Run cost by memory MB CPU vCPU time requests pricing tier Google Cloud.
Calculator GCP Cloud Run Throughput RPS Concurrency
Estimates RPS throughput GCP Cloud Run based on max concurrency per instance container limit.
Calculator GCP Cloud Functions Throughput RPS
Estimates RPS throughput GCP Cloud Functions concurrency instances execution time pricing tier.
Calculator GCP Cloud Functions Average Execution Time
Estimates average execution time GCP Cloud Functions per runtime Node Python Go code size memory.
Calculator GCP PubSub Throughput Messages Second
Estimates messages per second throughput Google Cloud PubSub topic subscription publishers subscribers.
Calculator GCP Dataflow Throughput Events Second
Estimates events per second throughput GCP Dataflow Apache Beam streaming pipeline workers parallelism.
Calculator GCP BigQuery Throughput Queries Second
Estimates queries per second throughput GCP BigQuery slots reservation on demand costs bytes processed.
Calculator GCP Firestore Throughput Reads Second
Estimates reads per second throughput GCP Firestore database documents collections indexes operations cost.
Calculator GCP Spanner Throughput TPS Second
Estimates TPS throughput Cloud Spanner GCP nodes processing units regional multi regional distributed SQL.
Calculator GCP App Engine Throughput RPS
Estimates RPS throughput GCP App Engine Standard Flexible instance classes auto scaling target CPU.
Calculator ENT Person Audiometry Range
Evaluates audiometry tonal threshold frequencies 250 8000 Hz dB ear normal mild moderate severe profound.
Calculator ENT Person Hearing Loss Grade
Evaluates hearing loss grade sensorineural conductive mixed unilateral bilateral WHO classification.
Calculator ENT Person Tinnitus Criteria
Evaluates tinnitus criteria THI handicap inventory type unilateral bilateral pulsatile constant intermittent.
Calculator ENT Person Dizziness Vertigo
Evaluates dizziness vertigo type peripheral central BPPV Meniere vestibular neuritis nystagmus Dix Hallpike maneuvers.
Calculator ENT Person Sinusitis Criteria
Evaluates sinusitis EPOS criteria acute chronic nasal obstruction discharge facial pain hyposmia CT scan.
Calculator ENT Person Allergic Rhinitis Score
Evaluates allergic rhinitis ARIA score mild moderate severe intermittent persistent symptoms obstruction sneezing pruritus.
Calculator ENT Person Tonsillitis Criteria
Evaluates tonsillitis Centor McIsaac criteria fever exudate cervical nodes absence cough GABHS strep.
Calculator ENT Person Otitis Media Criteria
Evaluates acute chronic otitis media AAP criteria otalgia tympanic bulging hypoacusis fever antibiotic therapy.
Calculator ENT Person Otitis Externa Criteria
Evaluates otitis externa criteria otalgia tragus pruritus discharge Pseudomonas Aspergillus malignant diabetic.
Calculator ENT Person Laryngitis Criteria
Evaluates acute chronic laryngitis criteria hoarseness dysphonia dry cough laryngoscopy vocal rest.
Calculator ENT Person Pharyngitis Criteria
Evaluates acute chronic pharyngitis criteria odynophagia hyperemia exudate viral bacterial strep test.
Calculator ENT Person Dysphonia Criteria
Evaluates dysphonia GRBAS criteria hoarseness breathiness roughness strain instability speech therapy laryngoscopy.
Calculator Matapa Mozambican Recipe Person Quantity
Calculates Mozambican matapa cassava leaves peanut coconut crab shrimp garlic per person.
Calculator Cabidela Mozambican Recipe Person
Calculates Mozambican cabidela chicken blood rice vinegar onion garlic per person.
Calculator Curry Mozambican Recipe Person Quantity
Calculates Mozambican curry crab shrimp chicken curry coconut peanut per person.
Calculator Mahi Mahi Bread Mozambican Recipe Person
Calculates Mozambican mahi mahi bread corn flour fish oil salt per person.
Calculator Fufu Mozambican Recipe Person Quantity
Calculates Mozambican fufu cassava corn water salt side per person.
Calculator Zambezian Chicken Mozambican Recipe Person
Calculates Mozambican Zambezian chicken coconut piri piri lemon garlic per person.
Calculator Muamba Angolan Recipe Person
Calculates Angolan chicken muamba palm oil okra gimboa per person.
Calculator Calulu Angolan Recipe Person Quantity
Calculates Angolan calulu dried fish peanut okra gimboa funje per person.
Calculator Feijoada Angolan Recipe Person Quantity
Calculates Angolan feijoada beans palm oil pork sausage funje per person.
Calculator Quibe Angolan Recipe Person
Calculates Angolan quibe cassava flour ground beef onion cumin per person.
Calculator Mufete Angolan Recipe Person
Calculates Angolan mufete grilled fish beans palm oil sweet potato cassava per person.
Calculator Cocada Angolan Recipe Person Quantity
Calculates Angolan cocada grated coconut sugar condensed milk per person.
Calculator Kissangua Angolan Drink Recipe Person
Calculates Angolan kissangua fermented corn drink sugar water spices per person.
Calculator Skate 3 Sim Completion Time
Calculates estimated time to complete Skate 3 main extras completionist mode.
Calculator Skater XL Sim Completion Time
Calculates estimated time to complete Skater XL main extras completionist mode.
Calculator Session Skate Sim Time
Calculates estimated time for Session Skate Sim main extras completionist mode.
Calculator Tony Hawk Pro Skater Sim Time
Calculates estimated time for Tony Hawk Pro Skater main extras completionist mode.
Calculator Snowboarding Sim Time
Calculates estimated time for Snowboarding Sim main extras completionist mode.
Calculator Amped Snowboarding Sim Time
Calculates estimated time for Amped Snowboarding main extras completionist mode.
Calculator Shaun White Snowboarding Sim Time
Calculates estimated time for Shaun White Snowboarding main extras completionist mode.
Calculator Tony Hawk 2 Sim Completion Time
Calculates estimated time to complete Tony Hawk 2 main extras completionist mode.
Calculator Tony Hawk 3 Sim Completion Time
Calculates estimated time to complete Tony Hawk 3 main extras completionist mode.
Calculator BMX XXX Sim Completion Time
Calculates estimated time to complete BMX XXX main extras completionist mode.
Calculator Mat Hoffman Pro BMX Sim Time
Calculates estimated time for Mat Hoffman Pro BMX main extras completionist mode.
Calculator RideOp BMX Sim Time
Calculates estimated time for RideOp BMX main extras completionist mode.
Calculator SRS Stunt Racing Sim Time
Calculates estimated time for SRS Stunt Racing main extras completionist mode.
Calculator Azure Functions Cold Start Time Type
Calculates Azure Functions cold start time by runtime type.
Calculator Azure Functions Warm Start Time Type
Calculates Azure Functions warm start time by runtime type.
Calculator Azure Functions Memory MB Pricing
Calculates Azure Functions memory cost GB-s consumption plan.
Calculator Azure Functions Throughput RPS Concurrency
Calculates Azure Functions throughput rps by concurrency and latency.
Calculator Azure Logic Apps Throughput RPS
Calculates Azure Logic Apps throughput rps by actions and latency.
Calculator Azure Logic Apps Mean Execution Time
Calculates Azure Logic Apps mean execution time by actions and latency.
Calculator Azure Event Grid Throughput Events Second
Calculates Azure Event Grid throughput events/s by tier.
Calculator Azure Service Bus Throughput Messages Second
Calculates Azure Service Bus throughput messages/s by tier.
Calculator Azure Event Hub Throughput Events Second
Calculates Azure Event Hub throughput events/s by tier.
Calculator Azure Cosmos DB Throughput TPS Second
Calculates Cosmos DB throughput tps by configured RUs.
Calculator Azure SQL Database Throughput TPS Second
Calculates Azure SQL Database throughput tps by DTUs.
Calculator Azure Data Factory Throughput Seconds
Calculates Azure Data Factory total seconds throughput pipelines/day duration.
Calculator General Derma Acne Person Grade
Evaluates acne vulgaris grade mild moderate severe by inflammatory lesions count.
Calculator General Derma Rosacea Person Grade
Evaluates rosacea grade by erythema telangiectasias papules and pustules.
Calculator General Derma Eczema Person Grade
Evaluates eczema grade mild moderate severe by extent and intensity.
Calculator General Derma Psoriasis Person PASI
Calculates PASI psoriasis by erythema infiltration desquamation and affected area.
Calculator General Derma Atopic Dermatitis Person SCORAD
Calculates atopic dermatitis SCORAD by area intensity and subjective symptoms.
Calculator General Derma Vitiligo Person Area
Evaluates vitiligo classification localized generalized universal by depigmented area.
Calculator General Derma Melasma Person Area
Calculates approximate melasma MASI by area and pigmentation intensity.
Calculator General Derma Hidradenitis Person Hurley
Evaluates hidradenitis suppurativa Hurley stage by lesions fistulas scars.
Calculator General Derma Alopecia Areata Person Area
Evaluates alopecia areata SALT by affected scalp area.
Calculator General Derma Androgenetic Alopecia Person
Evaluates androgenetic alopecia Hamilton-Norwood Ludwig scale by sex and grade.
Calculator General Derma Onychomycosis Person Area 2
Evaluates onychomycosis OSI by affected nail area mild moderate severe.
Calculator General Derma Pruritus Person Criteria
Evaluates pruritus criteria intensity frequency mild moderate severe.
Calculator Recipe Meat Pie Australia Street Person
Calculates Australian street food meat pie ingredients per number of people.
Calculator Recipe Sausage Roll Australia Street Person
Calculates Australian street food sausage roll ingredients per number of people.
Calculator Recipe Cracker Pie Australia Person
Calculates Australian cracker pie ingredients per number of people.
Calculator Recipe Chiko Roll Australia Person
Calculates Australian chiko roll ingredients per number of people.
Calculator Recipe Pavlova Cube Person
Calculates Australian pavlova cube ingredients per number of people.
Calculator Recipe Lamington Person Quantity 2
Calculates Australian lamington ingredients per people and quantity.
Calculator Recipe BBQ Australia Person Quantity
Calculates Australian BBQ ingredients per person and quantity.
Calculator Recipe Fish Chip Australia Person Quantity
Calculates Australian fish and chips ingredients per person and quantity.
Calculator Recipe ANZAC Biscuit Person Quantity 2
Calculates Australian ANZAC biscuit ingredients per person and quantity.
Calculator Recipe Fairy Bread Person Quantity 2
Calculates Australian fairy bread ingredients per person and quantity.
Calculator Recipe Flat White Coffee Person Drink
Calculates Australian flat white coffee ingredients per person drink.
Calculator Recipe Tim Tam Australia Person Quantity
Calculates Australian Tim Tam ingredients per person and quantity.
Calculator Recipe Vegemite Person Quantity
Calculates Australian vegemite toast ingredients per person and quantity.
Calculator Escape Cube Escape Time Complete
Calculates average time to complete Cube Escape Rusty Lake by puzzles.
Calculator Escape The Room Time Complete
Calculates average time to complete The Room game by puzzles.
Calculator Escape Rusty Lake Paradise Time
Calculates average time to complete Rusty Lake Paradise game.
Calculator Escape Rusty Lake Hotel Time
Calculates average time to complete Rusty Lake Hotel game.
Calculator Escape Bermuda Triangle Time
Calculates average time to complete Bermuda Triangle escape game.
Calculator Escape Machinarium Time Complete
Calculates average time to complete Machinarium game by puzzles.
Calculator Escape Samorost Time Complete
Calculates average time to complete Samorost game by puzzles.
Calculator Escape Botanicula Time Complete
Calculates average time to complete Botanicula game by puzzles.
Calculator Escape Creaks Time Complete
Calculates average time to complete Creaks game by puzzles.
Calculator Escape Fran Bow Time Complete
Calculates average time to complete Fran Bow game by puzzles and chapters.
Calculator Escape Little Misfortune Time Complete
Calculates average time to complete Little Misfortune game by puzzles.
Calculator Escape Night Cry Time Complete
Calculates average time to complete Night Cry game by puzzles.
Calculator Escape Stories Untold Time Complete
Calculates average time to complete Stories Untold game by chapters.
Calculator Apollo Federation Gateway Throughput RPS
Calculates Apollo Federation Gateway rps throughput by subgraphs and latency.
Calculator Apollo Federation Supergraph Overhead
Calculates ms overhead Apollo Federation supergraph by subgraphs.
Calculator Apollo Federation Subgraph Throughput
Calculates rps throughput Apollo Federation subgraph by CPU and memory.
Calculator Apollo Federation Router Overhead MS
Calculates ms overhead Apollo Federation Router by parallel fetches.
Calculator Hasura GraphQL Throughput RPS
Calculates Hasura GraphQL rps throughput by connections and latency.
Calculator Hasura Postgres Throughput RPS
Calculates Hasura over Postgres rps throughput by connection pool.
Calculator Hasura Actions Throughput RPS
Calculates Hasura Actions REST handlers rps throughput by latency.
Calculator Hasura Events Throughput Events Second
Calculates Hasura event triggers events/s throughput by webhooks.
Calculator PostGraphile Throughput RPS
Calculates PostGraphile rps throughput by Postgres pool and plugins.
Calculator Graphile Throughput RPS
Calculates Graphile Worker rps throughput by workers and jobs.
Calculator StepZen Throughput RPS
Calculates StepZen GraphQL rps throughput by federated backends.
Calculator WunderGraph Throughput RPS
Calculates WunderGraph API rps throughput by operations and cache.
Calculator Ophthalmo Retina Person Visual Acuity
Evaluates Snellen LogMAR visual acuity by lines read.
Calculator Ophthalmo Retina Person Criteria DMRL
Evaluates DMRL age-related macular degeneration AREDS criteria.
Calculator Ophthalmo Retina Person Criteria Diabetic Retinopathy
Evaluates diabetic retinopathy non-proliferative proliferative by ETDRS.
Calculator Ophthalmo Retina Person Criteria Macular Degeneration
Evaluates dry wet macular degeneration criteria by drusen and neovascularization.
Calculator Ophthalmo Retina Person Criteria Macular Hole
Evaluates Gass macular hole stages 1 to 4 by OCT.
Calculator Ophthalmo Retina Person Criteria MER Epiretinal Membrane
Evaluates epiretinal membrane MER by OCT macular thickness.
Calculator Ophthalmo Retina Person Criteria Macular Edema
Evaluates cystoid macular edema by OCT central thickness.
Calculator Ophthalmo Retina Person Criteria RDP
Evaluates proliferative diabetic retinopathy RDP high-risk criteria.
Calculator Ophthalmo Retina Person Criteria Proliferative RD
Evaluates proliferative diabetic retinopathy by retina disc new vessels.
Calculator Ophthalmo Retina Person Criteria Retinitis Pigmentosa
Evaluates retinitis pigmentosa by visual field and electroretinogram.
Calculator Ophthalmo Retina Person Criteria Choroideremia
Evaluates choroideremia chorioretinal degeneration by atrophy extent.
Calculator Ophthalmo Retina Person Criteria Retinal Dystrophy
Evaluates hereditary retinal dystrophy by ERG and genetic mutations.
Calculator Recipe Dal Bhat Nepalese Person Quantity
Calculates Nepalese dal bhat lentils and rice ingredients per person.
Calculator Recipe Momo Nepalese Person Quantity
Calculates Nepalese momo steamed dumpling ingredients per person.
Calculator Recipe Thukpa Nepalese Person Quantity
Calculates Nepalese thukpa noodle soup ingredients per person.
Calculator Recipe Sel Roti Nepalese Person Quantity
Calculates Nepalese sel roti rice doughnut ingredients per person.
Calculator Recipe Chatamari Nepalese Person Quantity
Calculates Nepalese chatamari Newari rice pizza ingredients per person.
Calculator Recipe Yomari Nepalese Person Quantity
Calculates Nepalese yomari Newari sweet dumpling ingredients per person.
Calculator Recipe Juju Dhau Nepalese Person Quantity
Calculates Nepalese juju dhau Bhaktapur yogurt ingredients per person.
Calculator Recipe Tongba Nepalese Drink Person
Calculates Nepalese tongba fermented millet drink ingredients per person.
Calculator Recipe Aloo Tama Nepalese Person
Calculates Nepalese aloo tama potato bamboo shoot ingredients per person.
Calculator Recipe Kachila Nepalese Person
Calculates Nepalese kachila Newari raw spiced meat ingredients per person.
Calculator Recipe Bara Nepalese Person
Calculates Nepalese bara black lentil pancake ingredients per person.
Calculator Recipe Choila Nepalese Person
Calculates Nepalese choila grilled spiced meat ingredients per person.
Calculator Recipe Sukuti Nepalese Person
Calculates Nepalese sukuti dried smoked meat ingredients per person.
Calculator Gacha Mobile Genshin Impact Completion Time
Estimates pulls and dailies farm time in Genshin Impact mobile.
Calculator Gacha Mobile Honkai Star Rail Completion Time
Estimates warps and energy farm time in Honkai Star Rail.
Calculator Gacha Mobile Fate Grand Order Time
Estimates summons and quartz farm time in Fate Grand Order.
Calculator Gacha Mobile Azur Lane Time
Estimates constructions and cubes farm time in Azur Lane.
Calculator Gacha Mobile Arknights Completion Time
Estimates headhunting and orundum farm time in Arknights.
Calculator Gacha Mobile Blue Archive Completion Time
Estimates recruitment and pyroxene farm time in Blue Archive.
Calculator Gacha Mobile Nikke Completion Time
Estimates recruit and coin farm time in Nikke Goddess of Victory.
Calculator Gacha Mobile Bleach Completion Time
Estimates pulls and orbs farm time in Bleach Brave Souls mobile.
Calculator Gacha Mobile Dokkan Battle Completion Time
Estimates summon and dragon stones farm time in Dokkan Battle.
Calculator Gacha Mobile Uma Musume Time
Estimates gacha and jewels farm time in Uma Musume Pretty Derby.
Calculator Gacha Mobile Dragon Quest Walk Time
Estimates gacha and jewels farm time in Dragon Quest Walk.
Calculator Gacha Mobile Final Fantasy BDay Time
Estimates gacha and gems farm time in Final Fantasy Brave Exvius.
Calculator Gacha Mobile Monster Strike Time
Estimates gacha and orbs farm time in Monster Strike mobile.
Calculator K8s Operator Deploy Project Time
Estimates Kubernetes Operator project deploy time.
Calculator K8s Operator CR Reconcile MS Time
Estimates average reconcile latency of a Custom Resource in the Operator.
Calculator K8s Operator CPU Memory Type
Estimates Operator monthly CPU and memory cost by type.
Calculator K8s Operator Throughput Events Second
Estimates events per second processed by Operator.
Calculator K8s Operator Leader Election Time
Estimates multi-replica Operator leader election time.
Calculator K8s Helm Install Project MB Time
Estimates helm install time considering chart size.
Calculator K8s Helm Throughput RPS
Estimates helm tiller calls per second throughput rps.
Calculator K8s Kustomize Build Project Time
Estimates kustomize build time for a K8s project.
Calculator K8s ArgoCD Throughput Sync Second
Estimates ArgoCD application syncs per second throughput.
Calculator K8s FluxCD Throughput Sync Second
Estimates FluxCD sources syncs per second throughput.
Calculator K8s Crossplane Deploy Resources Time
Estimates cloud resources provisioning time via Crossplane.
Calculator K8s Cluster API Provision Cluster Time
Estimates cluster provisioning time via Cluster API CAPI.
Calculator Plastic Rec Recovery Rhinoplasty Person Time
Estimates reconstructive rhinoplasty recovery time per person.
Calculator Plastic Rec Recovery Mammoplasty Person Time
Estimates reconstructive mammoplasty recovery time per person.
Calculator Plastic Rec Recovery Cleft Lip Person Time
Estimates cleft lip repair recovery time per person.
Calculator Plastic Rec Recovery Cleft Palate Person Time
Estimates cleft palate repair recovery time per person.
Calculator Plastic Rec Recovery Head Neck Reconstruction Person Time
Estimates head and neck reconstruction recovery time per person.
Calculator Plastic Rec Recovery Microvascular Person Time
Estimates microvascular surgery recovery time per person.
Calculator Plastic Rec Recovery Free Flap Person Time
Estimates free flap microvascular recovery time per person.
Calculator Plastic Rec Recovery Pedicled Flap Person Time
Estimates pedicled flap recovery time per person.
Calculator Plastic Rec Recovery Soft Tissue Defect Person Time
Estimates soft tissue defect recovery time per person.
Calculator Plastic Rec Recovery Bone Defect Person Time
Estimates bone defect recovery time per person.
Calculator Plastic Rec Recovery Hand Trauma Person Time
Estimates hand trauma recovery time per person.
Calculator Plastic Rec Recovery Craniofacial Person Time
Estimates craniofacial surgery recovery time per person.
Calculator Recipe Momo Tibetan Person Quantity
Calculates Tibetan momo stuffed dumpling ingredients per person.
Calculator Recipe Thukpa Tibetan Person Quantity
Calculates Tibetan thukpa noodle soup ingredients per person.
Calculator Recipe Tsampa Tibetan Person Quantity
Calculates Tibetan tsampa roasted barley flour per person.
Calculator Recipe Shabhalay Tibetan Person Quantity
Calculates Tibetan shabhalay meat stuffed pancake ingredients per person.
Calculator Recipe Sha Balep Tibetan Person
Calculates Tibetan sha balep stuffed bread ingredients per person.
Calculator Recipe Laping Tibetan Person
Calculates Tibetan laping cold noodles with chili per person.
Calculator Recipe Shapaley Tibetan Person
Calculates Tibetan shapaley fried meat patty ingredients per person.
Calculator Recipe Banh Bao Tibetan Person
Calculates Tibetan banh bao steamed bun ingredients per person.
Calculator Recipe Droma Deysil Tibetan Person
Calculates Tibetan droma deysil sweet rice with tubers per person.
Calculator Recipe Amdo Balep Tibetan Person
Calculates Tibetan amdo balep Amdo region bread per person.
Calculator Recipe Tsamthuk Tibetan Person
Calculates Tibetan tsamthuk tsampa porridge ingredients per person.
Calculator Recipe Butter Tea Tibetan Drink Person
Calculates Tibetan butter tea po cha ingredients per person.
Calculator Recipe Chang Tibetan Drink Person
Calculates Tibetan chang fermented barley beer per person.
Calculator Metaverse Decentraland Time Complete Event
Estimates time to complete a Decentraland event.
Calculator Metaverse Sandbox Time Complete Game
Estimates time to complete a Sandbox game.
Calculator Metaverse Axie Infinity Time Complete Season
Estimates time to complete an Axie Infinity season.
Calculator Metaverse Illuvium Time Complete Battle
Estimates time to complete an Illuvium battle.
Calculator Metaverse Roblox Time Complete Experience
Estimates time to complete a Roblox metaverse experience.
Calculator Metaverse Rec Room Time Complete
Estimates time to complete a Rec Room activity.
Calculator Metaverse Horizon Worlds Time Complete
Estimates time to complete a Horizon Worlds session.
Calculator Metaverse Spatial io Time Complete
Estimates time to complete a Spatial io session.
Calculator Metaverse AltspaceVR Time Complete
Estimates time to complete an AltspaceVR event.
Calculator Metaverse EngageVR Time Complete
Estimates time to complete an EngageVR session.
Calculator Metaverse Mozilla Hubs Time Complete
Estimates time to complete a Mozilla Hubs room session.
Calculator Metaverse Bigscreen Time Complete
Estimates time to complete a Bigscreen session.
Calculator Metaverse Meta Quest Home Time Complete
Estimates time to complete a Meta Quest Home experience.
Calculator Couchbase Throughput RPS Cluster
Estimates Couchbase cluster operations throughput in rps.
Calculator Couchbase Replication Overhead Bytes
Estimates Couchbase XDCR replication overhead bytes.
Calculator Couchbase FTS Throughput Search Second
Estimates Couchbase FTS searches per second.
Calculator CouchDB Throughput RPS Cluster
Estimates CouchDB cluster operations throughput in rps.
Calculator CouchDB Replication Overhead Bytes
Estimates CouchDB multi master replication overhead bytes.
Calculator RethinkDB Throughput RPS Cluster
Estimates RethinkDB cluster operations throughput in rps.
Calculator RethinkDB Changefeeds Throughput Second
Estimates RethinkDB changefeeds events per second.
Calculator ArangoDB Throughput RPS Cluster
Estimates ArangoDB multi model cluster throughput in rps.
Calculator OrientDB Throughput RPS Cluster
Estimates OrientDB multi model cluster throughput in rps.
Calculator MongoDB Throughput RPS Cluster Replicaset
Estimates MongoDB replicaset cluster throughput in rps.
Calculator Cassandra Throughput RPS Cluster Multi DC
Estimates Cassandra multi datacenter cluster throughput in rps.
Calculator ScyllaDB Throughput RPS Cluster
Estimates ScyllaDB cluster operations throughput in rps.
Calculator Pulmo COPD Person FEV1 Percent
Calculates FEV1 percent of predicted and GOLD class in COPD.
Calculator Pulmo COPD Person FEV1 FVC Ratio
Calculates FEV1 FVC ratio and detects obstruction in COPD.
Calculator Pulmo COPD Person CAT Score
Calculates COPD Assessment Test CAT score 0 to 40.
Calculator Pulmo COPD Person mMRC Score
Calculates mMRC dyspnea scale 0 to 4 in COPD.
Calculator Pulmo COPD Person BODE Index
Calculates BODE index BMI obstruction dyspnea exercise in COPD.
Calculator Pulmo COPD Dose Tiotropium mcg Person
Calculates tiotropium dose 18 mcg per day in COPD maintenance.
Calculator Pulmo COPD Dose Formoterol mcg Person
Calculates formoterol 12 mcg twice daily in COPD maintenance.
Calculator Pulmo COPD Dose Salmeterol mcg Person
Calculates salmeterol 50 mcg twice daily in COPD maintenance.
Calculator Pulmo COPD Dose Budesonide mcg Person
Calculates inhaled budesonide daily dose in COPD with exacerbations.
Calculator Pulmo COPD Dose Fluticasone mcg Person
Calculates inhaled fluticasone daily dose in COPD with exacerbations.
Calculator Pulmo COPD Dose Roflumilast mg Person
Calculates roflumilast 500 mcg daily in severe COPD.
Calculator Pulmo COPD Time Pulmonary Rehabilitation Months
Estimates pulmonary rehabilitation months by COPD severity.
Calculator Recipe Ema Datshi Bhutanese Person Quantity
Calculates Bhutanese ema datshi chili cheese stew ingredients per person.
Calculator Recipe Jasha Maru Bhutanese Person Quantity
Calculates Bhutanese jasha maru spicy chicken ingredients per person.
Calculator Recipe Momos Bhutanese Person Quantity
Calculates Bhutanese momo dumpling ingredients per person.
Calculator Recipe Puta Bhutanese Person Quantity
Calculates Bhutanese puta buckwheat noodle ingredients per person.
Calculator Recipe Sikam Paa Bhutanese Person Quantity
Calculates Bhutanese sikam paa dried pork ingredients per person.
Calculator Recipe Phaksha Paa Bhutanese Person
Calculates Bhutanese phaksha paa pork with radish ingredients per person.
Calculator Recipe Khur Le Bhutanese Person
Calculates Bhutanese khur le buckwheat pancake ingredients per person.
Calculator Recipe Zaow Bhutanese Person Quantity
Calculates Bhutanese zaow toasted rice snack ingredients per person.
Calculator Recipe Tomato Datshi Bhutanese Person
Calculates Bhutanese tomato datshi tomato cheese ingredients per person.
Calculator Recipe Shamu Datshi Bhutanese Person
Calculates Bhutanese shamu datshi mushroom cheese ingredients per person.
Calculator Recipe Juma Bhutanese Person Quantity
Calculates Bhutanese juma seasoned pork sausage ingredients per person.
Calculator Recipe Suja Bhutanese Drink Person
Calculates Bhutanese suja butter tea drink ingredients per person.
Calculator Recipe Ara Bhutanese Drink Person
Calculates Bhutanese ara fermented rice drink ingredients per person.
Calculator Rhythm Dance Just Dance Time Complete
Estimates time to complete songs in Just Dance.
Calculator Rhythm Dance Dance Central Time
Estimates time to complete songs in Dance Central.
Calculator Rhythm Dance Pump It Up Prime Time
Estimates time per song in Pump It Up Prime.
Calculator Rhythm Dance DDR Extreme Time
Estimates time to complete stages in DDR Extreme.
Calculator Rhythm Dance DDR Supernova Time
Estimates time to complete stages in DDR Supernova.
Calculator Rhythm Dance DDR 2nd Mix Time
Estimates time to complete stages in DDR 2nd Mix.
Calculator Rhythm Dance Stepmania Time
Estimates time per song in Stepmania.
Calculator Rhythm Dance Osu Mania Time
Estimates time per map in osu mania.
Calculator Rhythm Dance Osu Taiko Time
Estimates time per map in osu taiko.
Calculator Rhythm Dance Taiko no Tatsujin Time
Estimates time per song in Taiko no Tatsujin.
Calculator Rhythm Dance Elite Beat Agents Time
Estimates time per song in Elite Beat Agents.
Calculator Rhythm Dance Rhythm Heaven Time
Estimates time per minigame in Rhythm Heaven.
Calculator Rhythm Dance Friday Night Funkin Time
Estimates time per week in Friday Night Funkin.
Calculator Snowflake Throughput Queries Per Second
Calculates Snowflake queries per second throughput.
Calculator Snowflake Storage Overhead GB Type
Calculates Snowflake storage overhead in GB by type.
Calculator Snowflake Warehouse Credits Seconds
Calculates Snowflake warehouse credit consumption per seconds.
Calculator BigQuery Throughput Queries Per Second 2
Calculates BigQuery queries per second throughput.
Calculator BigQuery Storage Overhead GB Type
Calculates BigQuery storage overhead in GB by type.
Calculator BigQuery Slot Throughput Seconds
Calculates BigQuery slot throughput per seconds.
Calculator Redshift Throughput Queries Per Second
Calculates Redshift queries per second throughput.
Calculator Redshift Storage Overhead GB Type
Calculates Redshift storage overhead in GB by type.
Calculator Redshift Cluster Seconds
Calculates Redshift cluster compute per seconds.
Calculator Databricks Throughput Queries Per Second
Calculates Databricks queries per second throughput.
Calculator ClickHouse Throughput RPS Cluster
Calculates ClickHouse cluster RPS throughput.
Calculator DuckDB Throughput RPS Cluster
Calculates DuckDB cluster RPS throughput.
Calculator Hemato Transplant Person HLA Compatibility
Calculates HLA donor-recipient compatibility per person.
Calculator Hemato Transplant Person CMV Status
Evaluates CMV status of donor and recipient in transplant.
Calculator Hemato Transplant Person Compatible Donor
Evaluates donor compatibility for transplant per person.
Calculator Hemato Transplant Person Conditioning MAC
Evaluates myeloablative MAC conditioning regimen per person.
Calculator Hemato Transplant Person Conditioning RIC
Evaluates reduced intensity RIC conditioning per person.
Calculator Hemato Transplant Person Conditioning NMA
Evaluates non-myeloablative NMA conditioning per person.
Calculator Hemato Transplant Person aGVHD Score
Calculates acute graft-versus-host disease score.
Calculator Hemato Transplant Person cGVHD Criteria
Evaluates chronic GVHD criteria per NIH 2014.
Calculator Hemato Transplant Person Mucositis Grade
Classifies post-transplant oral mucositis WHO grade.
Calculator Hemato Transplant Person Engraftment Days
Estimates days to neutrophil engraftment per person.
Calculator Hemato Transplant Person Relapse Criteria
Evaluates post-transplant relapse criteria per person.
Calculator Hemato Transplant Person Immunosuppression Person
Calculates post-transplant immunosuppression dose per person.
Calculator Recipe Hunkar Begendi Ottoman Person Quantity
Calculates Ottoman hunkar begendi eggplant lamb stew ingredients per person.
Calculator Recipe Vezir Parmagi Ottoman Person Quantity
Calculates Ottoman vizier finger croquette ingredients per person.
Calculator Recipe Saraylik Pilav Ottoman Person
Calculates Ottoman palace pilaf ingredients per person.
Calculator Recipe Zerde Saray Ottoman Person
Calculates Ottoman zerde saffron rice dessert ingredients per person.
Calculator Recipe Asure Ottoman Person Quantity
Calculates Ottoman ashure Noah pudding ingredients per person.
Calculator Recipe Tulumba Saray Ottoman Person
Calculates Ottoman tulumba fried dough syrup ingredients per person.
Calculator Recipe Kabak Tatlisi Ottoman Person
Calculates Ottoman candied pumpkin dessert ingredients per person.
Calculator Recipe Cevizli Baklava Saray Person
Calculates Ottoman walnut baklava palace ingredients per person.
Calculator Recipe Helva Saray Ottoman Person
Calculates Ottoman halva saray semolina butter ingredients per person.
Calculator Recipe Keskek Ottoman Person Quantity
Calculates Ottoman keskek wheat lamb traditional ingredients per person.
Calculator Recipe Pidesi Saray Ottoman Person
Calculates Ottoman saray pide flatbread filling ingredients per person.
Calculator Recipe Corba Saray Ottoman Person
Calculates Ottoman saray corba palace soup ingredients per person.
Calculator Recipe Sherbet Saray Ottoman Drink Person
Calculates Ottoman saray sherbet fruit spice drink ingredients per person.
Calculator Pixel Metroid Classic Completion Time
Estimates Metroid classic NES completion time by rooms.
Calculator Pixel Super Metroid Completion Time
Estimates Super Metroid completion time by rooms.
Calculator Pixel Castlevania Symphony Night Time
Estimates Castlevania Symphony of the Night completion time by rooms.
Calculator Pixel Castlevania Aria Sorrow Time
Estimates Castlevania Aria of Sorrow completion time by rooms.
Calculator Pixel Castlevania Dawn Sorrow Time
Estimates Castlevania Dawn of Sorrow completion time by rooms.
Calculator Pixel Castlevania Portrait Ruin Time
Estimates Castlevania Portrait of Ruin completion time by rooms.
Calculator Pixel Castlevania Order Ecclesia Time
Estimates Castlevania Order of Ecclesia completion time by rooms.
Calculator Pixel Castlevania Judgment Time
Estimates Castlevania Judgment completion time by fights.
Calculator Pixel Cave Story Completion Time
Estimates Cave Story completion time by rooms.
Calculator Pixel Aqua Mare Completion Time
Estimates Aqua Mare metroidvania completion time by rooms.
Calculator Pixel Island Person Time
Estimates Island metroidvania completion time by rooms per person.
Calculator Pixel Environmental Station Alpha Time
Estimates Environmental Station Alpha completion time by rooms.
Calculator Pixel Shadow Complex Completion Time
Estimates Shadow Complex metroidvania completion time by rooms.
Calculator Apache Beam Throughput Events Second 2
Calculates events per second throughput in Apache Beam.
Calculator Apache Flink Throughput Events Second 2
Calculates events per second throughput in Apache Flink.
Calculator Apache Storm Throughput Tuples Second 2
Calculates tuples per second throughput in Apache Storm.
Calculator Apache Samza Throughput Messages Second 2
Calculates messages per second throughput in Apache Samza.
Calculator Apache Pulsar Functions Throughput Second 2
Calculates throughput per second in Apache Pulsar Functions.
Calculator Apache Spark Streaming Throughput Second 2
Calculates throughput per second in Apache Spark Streaming.
Calculator Apache Druid Throughput Queries Second
Calculates queries per second throughput in Apache Druid.
Calculator Apache Pinot Throughput Queries Second
Calculates queries per second throughput in Apache Pinot.
Calculator Apache Druid Storage Overhead Bytes
Calculates storage overhead bytes in Apache Druid.
Calculator Apache Pinot Storage Overhead Bytes
Calculates storage overhead bytes in Apache Pinot.
Calculator Presto Throughput Queries Second
Calculates queries per second throughput in Presto.
Calculator Trino Throughput Queries Second
Calculates queries per second throughput in Trino.
Calculator Pedi Person Height Table Percentile
Estimates pediatric height-for-age percentile.
Calculator Pedi Person Weight Table Percentile
Estimates pediatric weight-for-age percentile.
Calculator Pedi Person BMI Table Percentile
Estimates pediatric BMI-for-age percentile.
Calculator Pedi Person Head Circumference Percentile
Estimates pediatric head circumference percentile.
Calculator Pedi Person Heart Rate Range
Shows normal heart rate range by pediatric age.
Calculator Pedi Person Respiratory Rate Range
Shows normal respiratory rate range by pediatric age.
Calculator Pedi Person Blood Pressure Range
Shows normal blood pressure range by pediatric age.
Calculator Pedi Person Axillary Temperature Range
Classifies pediatric axillary temperature in ranges.
Calculator Pedi Person SpO2 Saturation Range
Classifies pediatric SpO2 saturation in ranges.
Calculator Pedi Person Pain FLACC Score
Calculates FLACC score for pediatric pain assessment.
Calculator Pedi Person Pain Faces Score
Calculates Wong-Baker Faces score for pediatric pain.
Calculator Pedi Person Pain Numeric Score
Classifies numeric pediatric pain scale 0 to 10.
Calculator Recipe Poi Hawaiian Person Quantity
Calculates Hawaiian poi fermented taro ingredients per person.
Calculator Recipe Poke Hawaiian Person Quantity
Calculates Hawaiian poke raw tuna shoyu ingredients per person.
Calculator Recipe Laulau Hawaiian Person Quantity
Calculates Hawaiian laulau pork fish taro leaves ingredients per person.
Calculator Recipe Kalua Pork Hawaiian Person
Calculates Hawaiian kalua pork imu roasted ingredients per person.
Calculator Recipe Haupia Hawaiian Person Quantity
Calculates Hawaiian haupia coconut dessert ingredients per person.
Calculator Recipe Spam Musubi Hawaiian Person
Calculates Hawaiian spam musubi rice spam nori ingredients per person.
Calculator Recipe Loco Moco Hawaiian Person Quantity
Calculates Hawaiian loco moco rice burger egg gravy ingredients per person.
Calculator Recipe Shave Ice Hawaiian Person
Calculates Hawaiian shave ice syrups ingredients per person.
Calculator Recipe Manapua Hawaiian Person Quantity
Calculates Hawaiian manapua filled bun char siu pork ingredients per person.
Calculator Recipe Malasadas Hawaiian Person Quantity
Calculates Hawaiian malasadas Portuguese donut ingredients per person.
Calculator Recipe Chicken Long Rice Hawaiian Person
Calculates Hawaiian chicken long rice glass noodle ingredients per person.
Calculator Recipe Saimin Hawaiian Person Quantity
Calculates Hawaiian saimin noodle soup dashi broth ingredients per person.
Calculator Recipe Mai Tai Hawaiian Drink Person
Calculates Hawaiian mai tai rum fruit cocktail ingredients per person.
Calculator Narrative Mod Life Strange Double Exposure Time
Estimates time to complete Life is Strange Double Exposure by chapters.
Calculator Narrative Mod The Quarry Mode Complete
Estimates time to complete The Quarry by mode.
Calculator Narrative Mod As Dusk Falls Complete Time 2
Estimates time to complete As Dusk Falls by chapters.
Calculator Narrative Mod Twelve Minutes Time
Estimates time to complete Twelve Minutes by loop cycles.
Calculator Narrative Mod The Occupation Time
Estimates time to complete The Occupation by in-game hours.
Calculator Narrative Mod Tell Me Why Time
Estimates time to complete Tell Me Why by chapters.
Calculator Narrative Mod Late Shift Complete Time
Estimates time to complete Late Shift interactive film by choices.
Calculator Narrative Mod The Walking Dead Tales Time
Estimates time to complete The Walking Dead Tales by episodes.
Calculator Narrative Mod The Dark Pictures Anthology Time
Estimates time to complete The Dark Pictures Anthology per game.
Calculator Narrative Mod Supermassive Games Anthology Time
Estimates time to complete Supermassive Games anthology per game.
Calculator Narrative Mod Detroit Become Human Time 2
Estimates time to complete Detroit Become Human variant by chapters.
Calculator Narrative Mod Heavy Rain Detroit 2 Time
Estimates time to complete Heavy Rain and Detroit combined by chapters.
Calculator Narrative Mod Erica Complete Time
Estimates time to complete Erica interactive film by choices.
Calculator Caddy Throughput RPS Routes
Estimates requests per second on Caddy by number of routes.
Calculator Caddy Overhead TLS ms
Estimates TLS handshake overhead in ms on Caddy.
Calculator Traefik Throughput RPS Routes
Estimates requests per second on Traefik by number of routes.
Calculator Traefik Overhead TLS ms
Estimates TLS handshake overhead in ms on Traefik.
Calculator HAProxy Throughput RPS Backends
Estimates requests per second on HAProxy by configured backends.
Calculator HAProxy Overhead TLS ms
Estimates TLS handshake overhead in ms on HAProxy.
Calculator Nginx Throughput RPS Workers
Estimates requests per second on Nginx by configured workers.
Calculator Nginx Overhead TLS ms
Estimates TLS handshake overhead in ms on Nginx.
Calculator Envoy Throughput RPS Routes
Estimates requests per second on Envoy by number of routes.
Calculator Envoy Overhead TLS ms
Estimates TLS handshake overhead in ms on Envoy.
Calculator Apache Throughput RPS Workers
Estimates requests per second on Apache HTTPD by workers.
Calculator Lighttpd Throughput RPS Routes
Estimates requests per second on Lighttpd by number of routes.
Calculator Orto Trauma Person Femur Fracture Treatment
Suggests management for femur fracture by classification.
Calculator Orto Trauma Person Tibia Fracture Treatment
Suggests management for tibia fracture by classification.
Calculator Orto Trauma Person Fibula Fracture Treatment
Suggests management for fibula fracture by classification.
Calculator Orto Trauma Person Humerus Fracture Treatment
Suggests management for humerus fracture by classification.
Calculator Orto Trauma Person Distal Radius Fracture Treatment
Suggests management for distal radius fracture by classification.
Calculator Orto Trauma Person Ulna Fracture Treatment
Suggests management for ulna fracture by classification.
Calculator Orto Trauma Person Clavicle Fracture Treatment
Suggests management for clavicle fracture by classification.
Calculator Orto Trauma Person Scapula Fracture Treatment
Suggests management for scapula fracture by classification.
Calculator Orto Trauma Person Vertebral Fracture Treatment
Suggests management for vertebral fracture by classification.
Calculator Orto Trauma Person Pelvis Fracture Treatment
Suggests management for pelvis fracture by classification.
Calculator Orto Trauma Person Dislocation Type Treatment
Suggests management for joint dislocation by type.
Calculator Orto Trauma Person Sprain Grade Treatment
Suggests management for sprain by injury grade.
Calculator Recipe Palusami Samoan Person Quantity
Calculates Samoan palusami taro coconut milk ingredients per person.
Calculator Recipe Luau Samoan Person Quantity
Calculates Samoan luau taro leaves coconut milk ingredients per person.
Calculator Recipe Koko Samoa Drink Person
Calculates Koko Samoa cocoa traditional drink ingredients per person.
Calculator Recipe Oka Samoan Person Quantity
Calculates Samoan oka raw fish coconut lime ingredients per person.
Calculator Recipe Suafai Samoan Person Quantity
Calculates Samoan suafai banana coconut milk ingredients per person.
Calculator Recipe Fausi Samoan Person Quantity
Calculates Samoan fausi yam coconut caramel dessert ingredients per person.
Calculator Recipe Pai Fala Samoan Person
Calculates Samoan pai fala papaya pie ingredients per person.
Calculator Recipe Povi Masima Samoan Person
Calculates Samoan povi masima salted beef ingredients per person.
Calculator Recipe Pisua Samoan Person
Calculates Samoan pisua banana sprout coconut ingredients per person.
Calculator Recipe Faiai Pilikaki Samoan Person
Calculates Samoan faiai pilikaki mackerel coconut milk ingredients per person.
Calculator Recipe Talo Tausala Samoan Person
Calculates Samoan talo tausala taro coconut sauce ingredients per person.
Calculator Recipe Ia Vasa Samoan Person
Calculates Samoan ia vasa grilled sea fish ingredients per person.
Calculator Recipe Kava Samoan Drink Person
Calculates Samoan kava ceremonial drink ingredients per person.
Calculator Tactical RPG Mod Tactics Ogre Reborn Time
Estimates time to complete Tactics Ogre Reborn by chapters.
Calculator Tactical RPG Mod Fire Emblem Engage Time 2
Estimates time to complete Fire Emblem Engage by chapters.
Calculator Tactical RPG Mod Triangle Strategy Time
Estimates time to complete Triangle Strategy by chapters.
Calculator Tactical RPG Mod Unicorn Overlord Time
Estimates time to complete Unicorn Overlord by missions.
Calculator Tactical RPG Mod The Hot Springs Time
Estimates time to complete The Hot Springs by episodes.
Calculator Tactical RPG Mod Symphony Of War Time
Estimates time to complete Symphony of War by chapters.
Calculator Tactical RPG Mod Banner Saga Time
Estimates time to complete Banner Saga by chapters.
Calculator Tactical RPG Mod Wargroove Time
Estimates time to complete Wargroove by missions.
Calculator Tactical RPG Mod Wartales Time
Estimates time to complete Wartales by regions.
Calculator Tactical RPG Mod Disgaea 6 Time
Estimates time to complete Disgaea 6 by chapters.
Calculator Tactical RPG Mod Utawarerumono Time
Estimates time to complete Utawarerumono by chapters.
Calculator Tactical RPG Mod King Arthur Knights Fable Time
Estimates time to complete King Arthur Knights Fable by chapters.
Calculator Tactical RPG Mod Rise Of Eros Time
Estimates time to complete Rise of Eros by chapters.
Calculator Airflow Throughput Tasks Second
Estimates Apache Airflow tasks throughput per second by workers.
Calculator Airflow Overhead Task Time MS
Estimates Apache Airflow scheduling overhead per task in ms.
Calculator Airflow Storage History MB
Estimates Apache Airflow run history storage in MB.
Calculator Prefect Throughput Flows Second
Estimates Prefect flows throughput per second by workers.
Calculator Prefect Overhead Task Time MS
Estimates Prefect overhead per task in milliseconds.
Calculator Dagster Throughput Runs Second
Estimates Dagster runs throughput per second by workers.
Calculator Dagster Overhead Op Time MS
Estimates Dagster overhead per op in milliseconds.
Calculator Temporal Throughput Workflows Second
Estimates Temporal workflows throughput per second by workers.
Calculator Temporal Overhead Activity MS
Estimates Temporal overhead per activity in milliseconds.
Calculator Luigi Throughput Tasks Second
Estimates Luigi tasks throughput per second by workers.
Calculator Celery Throughput Tasks Second
Estimates Celery tasks throughput per second by workers.
Calculator BullMQ Throughput Jobs Second
Estimates BullMQ jobs throughput per second by workers.
Calculator Vasc Surgery Person Revascularization Recovery Time
Estimates revascularization recovery time by approach type.
Calculator Vasc Surgery Person Stent Recovery Time
Estimates vascular stent placement recovery time.
Calculator Vasc Surgery Person Femoropopliteal Bypass Recovery Time
Estimates femoropopliteal bypass recovery time by graft type.
Calculator Vasc Surgery Person Femorofemoral Bypass Recovery Time
Estimates femorofemoral bypass recovery time by graft type.
Calculator Vasc Surgery Person Aortic Aneurysm Recovery Time
Estimates aortic aneurysm repair recovery time.
Calculator Vasc Surgery Person EVAR Recovery Time
Estimates EVAR endovascular abdominal aortic repair recovery time.
Calculator Vasc Surgery Person TEVAR Recovery Time
Estimates TEVAR endovascular thoracic aortic repair recovery time.
Calculator Vasc Surgery Person Thrombectomy Recovery Time
Estimates thrombectomy recovery time by territory type.
Calculator Vasc Surgery Person Thrombolysis Recovery Time
Estimates thrombolysis recovery time by territory.
Calculator Vasc Surgery Person AV Fistula Recovery Time
Estimates AV fistula creation recovery time.
Calculator Vasc Surgery Person Carotid Endarterectomy Recovery Time
Estimates carotid endarterectomy recovery time.
Calculator Vasc Surgery Person Carotid Stent Recovery Time
Estimates carotid stent placement recovery time.
Calculator Recipe Gudeg Javanese Person Quantity
Calculates Javanese gudeg young jackfruit coconut milk ingredients per person.
Calculator Recipe Soto Ayam Javanese Person Quantity
Calculates Javanese soto ayam chicken turmeric soup ingredients per person.
Calculator Recipe Rawon Javanese Person Quantity
Calculates Javanese rawon dark beef kluwek soup ingredients per person.
Calculator Recipe Nasi Uduk Javanese Person
Calculates Javanese nasi uduk coconut milk rice ingredients per person.
Calculator Recipe Pecel Javanese Person Quantity
Calculates Javanese pecel salad peanut sauce ingredients per person.
Calculator Recipe Sambal Tempe Javanese Person
Calculates Javanese sambal tempe chili paste ingredients per person.
Calculator Recipe Mie Jawa Javanese Person Quantity
Calculates Javanese mie jawa fried noodles ingredients per person.
Calculator Recipe Bakso Malang Javanese Person
Calculates Javanese bakso malang meatballs broth ingredients per person.
Calculator Recipe Tahu Tek Javanese Person
Calculates Javanese tahu tek tofu peanut sauce ingredients per person.
Calculator Recipe Empek Empek Javanese Person
Calculates empek empek fish cakes cuko sauce ingredients per person.
Calculator Recipe Onde Onde Javanese Person
Calculates Javanese onde onde sesame ball ingredients per person.
Calculator Recipe Klepon Javanese Person Quantity
Calculates Javanese klepon green palm sugar balls ingredients per person.
Calculator Recipe Wedang Jahe Javanese Drink Person
Calculates Javanese wedang jahe ginger drink ingredients per person.
Calculator PC Adv Deponia Completion Time
Estimates total completion time for Deponia trilogy per chapter.
Calculator PC Adv Machinarium Completion Time
Estimates total completion time for Machinarium by area.
Calculator PC Adv Broken Age Completion Time
Estimates total completion time for Broken Age by act.
Calculator PC Adv Thimbleweed Park Time
Estimates total completion time for Thimbleweed Park by character.
Calculator PC Adv Myst Original Time
Estimates total completion time for original Myst by age.
Calculator PC Adv Grim Fandango Remastered Time
Estimates total completion time for Grim Fandango Remastered by year.
Calculator PC Adv Monkey Island Curse Time
Estimates total completion time for The Curse of Monkey Island by chapter.
Calculator PC Adv Monkey Island Escape Time
Estimates total completion time for Escape from Monkey Island by part.
Calculator PC Adv Monkey Island Tales Time
Estimates total completion time for Tales of Monkey Island by episode.
Calculator PC Adv Monkey Island Return Time
Estimates total completion time for Return to Monkey Island by chapter.
Calculator PC Adv Syberia 1 Time
Estimates total completion time for Syberia 1 by chapter.
Calculator PC Adv Syberia 2 Time
Estimates total completion time for Syberia 2 by chapter.
Calculator PC Adv Syberia World Before Time
Estimates total completion time for Syberia The World Before by chapter.
Calculator AWS RDS Throughput TPS Second
Estimates AWS RDS throughput in transactions per second from instances and TPS per instance.
Calculator AWS RDS IOPS Throughput
Estimates AWS RDS total IOPS from volumes and IOPS per volume.
Calculator AWS RDS Storage Overhead GB
Estimates AWS RDS storage overhead in GB for snapshots and logs.
Calculator AWS RDS Multi AZ Overhead MS
Estimates AWS RDS Multi AZ synchronous replication overhead in ms.
Calculator AWS DynamoDB Throughput TPS Second
Estimates DynamoDB throughput in TPS from WCU/RCU.
Calculator AWS DynamoDB Storage Overhead Bytes
Estimates DynamoDB storage overhead in bytes per item.
Calculator AWS DynamoDB Streams Throughput
Estimates DynamoDB Streams throughput from shards and events per shard.
Calculator AWS Aurora Throughput TPS Second
Estimates Aurora throughput in TPS from replicas and TPS per replica.
Calculator AWS Aurora Storage Overhead GB
Estimates Aurora storage overhead in GB.
Calculator AWS Aurora Serverless Throughput TPS
Estimates Aurora Serverless throughput in TPS per ACU.
Calculator AWS DocumentDB Throughput TPS
Estimates DocumentDB throughput in TPS per instance.
Calculator AWS Neptune Throughput TPS
Estimates Neptune throughput in TPS per instance.
Calculator Pneumo Bron Person Pediatric Criteria
Evaluates pediatric bronchitis diagnostic criteria.
Calculator Pneumo Bron Person Adult Criteria
Evaluates adult bronchitis diagnostic criteria.
Calculator Pneumo Bron Person Bronchodilator Dose
Suggests inhaled bronchodilator dose by weight for bronchitis.
Calculator Pneumo Bron Person Corticoid Dose
Suggests oral corticoid dose by weight for bronchitis exacerbation.
Calculator Pneumo Bron Person Antibiotic Dose
Suggests oral antibiotic dose by weight for bacterial bronchitis.
Calculator Pneumo Bron Person Admission Criteria
Evaluates bronchitis hospital admission criteria.
Calculator Pneumo Bron Person Oxygen Therapy Criteria
Evaluates oxygen therapy criteria in bronchitis.
Calculator Pneumo Bron Person ICU Criteria
Evaluates ICU admission criteria for severe bronchitis.
Calculator Pneumo Bron Person NIV Criteria
Evaluates non invasive ventilation criteria in bronchitis.
Calculator Pneumo Bron Person Invasive Ventilation Criteria
Evaluates invasive mechanical ventilation criteria in severe bronchitis.
Calculator Pneumo Bron Person Recovery Time Months
Estimates bronchitis recovery time in months by severity.
Calculator Pneumo Bron Person Pulmonary Rehab
Evaluates pulmonary rehabilitation indication after bronchitis.
Calculator Recipe Bebek Betutu Balinese Person Quantity
Calculates Balinese bebek betutu spiced duck ingredients per person.
Calculator Recipe Babi Guling Balinese Person Quantity
Calculates Balinese babi guling roast pork ingredients per person.
Calculator Recipe Ayam Betutu Balinese Person Quantity
Calculates Balinese ayam betutu spiced chicken ingredients per person.
Calculator Recipe Sate Lilit Balinese Person Quantity
Calculates Balinese sate lilit fish or chicken skewers per person.
Calculator Recipe Lawar Balinese Person Quantity
Calculates Balinese lawar coconut meat salad ingredients per person.
Calculator Recipe Tum Ayam Balinese Person
Calculates Balinese tum ayam chicken in banana leaf ingredients per person.
Calculator Recipe Jaja Bali Balinese Person
Calculates Balinese jaja bali traditional sweet ingredients per person.
Calculator Recipe Kolak Balinese Person Quantity
Calculates Balinese kolak banana coconut milk dessert per person.
Calculator Recipe Bubuh Injin Balinese Person
Calculates Balinese bubuh injin black rice pudding per person.
Calculator Recipe Pisang Rai Balinese Person
Calculates Balinese pisang rai banana coconut ingredients per person.
Calculator Recipe Rujak Bali Balinese Person
Calculates Balinese rujak bali spicy fruit salad ingredients per person.
Calculator Recipe Arak Bali Balinese Drink Person
Calculates Balinese arak bali distilled drink ingredients per person.
Calculator Recipe Brem Bali Balinese Drink Person
Calculates Balinese brem bali fermented rice wine ingredients per person.
Calculator Puzzle Phil The Witness Completion Time
Estimates total completion time for The Witness by puzzle area.
Calculator Puzzle Phil Talos Principle Time
Estimates total completion time for The Talos Principle by world.
Calculator Puzzle Phil The Stanley Parable Time
Estimates total completion time for The Stanley Parable by ending.
Calculator Puzzle Phil Puzzle Agent Time
Estimates total completion time for Puzzle Agent by case.
Calculator Puzzle Phil The House Abandoned Time
Estimates total completion time for The House Abandoned by room.
Calculator Puzzle Phil Superliminal Time
Estimates total completion time for Superliminal by chapter.
Calculator Puzzle Phil Hellblade Completion Time
Estimates total completion time for Hellblade Senuas Sacrifice by chapter.
Calculator Puzzle Phil SOMA Completion Time
Estimates total completion time for SOMA by chapter.
Calculator Puzzle Phil Dear Esther Remastered Time
Estimates total completion time for Dear Esther Remastered by section.
Calculator Puzzle Phil Everybody Gone Rapture Time
Estimates total completion time for Everybody Gone to the Rapture by area.
Calculator Puzzle Phil Firewatch Completion Time
Estimates total completion time for Firewatch by day.
Calculator Puzzle Phil Gone Home Time
Estimates total completion time for Gone Home by room.
Calculator Puzzle Phil Tacoma Completion Time
Estimates total completion time for Tacoma by station.
Calculator GCP Pub Sub Throughput Messages Second
Estimates Pub Sub throughput in messages per second from subscribers and msg per subscriber.
Calculator GCP Pub Sub Replication Overhead
Estimates ms overhead for multi region replication in Pub Sub.
Calculator GCP Pub Sub Topic Storage Overhead
Estimates Pub Sub topic storage overhead in MB.
Calculator GCP Dataflow Throughput Events Second
Estimates Dataflow throughput in events per second from workers and events per worker.
Calculator GCP Dataflow Templates Overhead MB
Estimates MB overhead for Dataflow templates per job.
Calculator GCP Dataproc Throughput Jobs Second
Estimates Dataproc throughput in jobs per second from clusters and jobs per cluster.
Calculator GCP Cloud Tasks Throughput Second
Estimates Cloud Tasks throughput in tasks per second from queues and rate.
Calculator GCP Cloud Scheduler Throughput Second
Estimates Cloud Scheduler throughput in jobs per second from jobs and rate.
Calculator GCP Workflows Throughput Second
Estimates Workflows throughput in executions per second from workflows and rate.
Calculator GCP Eventarc Throughput Events Second
Estimates Eventarc throughput in events per second from triggers and events per trigger.
Calculator GCP Vertex AI Training Throughput
Estimates Vertex AI training throughput in samples per second.
Calculator GCP Vertex AI Inference Throughput
Estimates Vertex AI inference throughput in requests per second.
Calculator Pediatric Dermatology Acne Criteria
Evaluates pediatric acne diagnostic and management criteria.
Calculator Pediatric Dermatology Atopic Dermatitis Criteria
Evaluates pediatric atopic dermatitis diagnostic criteria.
Calculator Pediatric Dermatology Eczema Criteria
Evaluates pediatric eczema diagnostic and classification criteria.
Calculator Pediatric Dermatology Impetigo Criteria
Evaluates pediatric impetigo diagnostic criteria.
Calculator Pediatric Dermatology Tinea Corporis Criteria
Evaluates pediatric tinea corporis diagnostic criteria.
Calculator Pediatric Dermatology Tinea Capitis Criteria
Evaluates pediatric tinea capitis diagnostic criteria.
Calculator Pediatric Dermatology Pityriasis Rosea Criteria
Evaluates pediatric pityriasis rosea diagnostic criteria.
Calculator Pediatric Dermatology Erythema Infectiosum Criteria
Evaluates pediatric erythema infectiosum parvovirus criteria.
Calculator Pediatric Dermatology Hand Foot Mouth Criteria
Evaluates pediatric hand foot mouth disease criteria.
Calculator Pediatric Dermatology Roseola Infantum Criteria
Evaluates pediatric roseola infantum criteria.
Calculator Pediatric Dermatology Measles Criteria
Evaluates pediatric measles diagnostic criteria.
Calculator Pediatric Dermatology Chickenpox Criteria
Evaluates pediatric chickenpox diagnostic criteria.
Calculator Recipe Fattah Coptic Person Quantity
Calculates Coptic Egyptian fattah festive dish ingredients per person.
Calculator Recipe Bessara Coptic Person Quantity
Calculates Coptic Egyptian bessara fava bean soup ingredients per person.
Calculator Recipe Tagen Coptic Person Quantity
Calculates Coptic Egyptian tagen stew ingredients per person.
Calculator Recipe Koshary Coptic Person Quantity
Calculates Coptic Egyptian koshary national dish ingredients per person.
Calculator Recipe Mahshi Coptic Person
Calculates Coptic Egyptian mahshi stuffed vegetables ingredients per person.
Calculator Recipe Ful Mudammas Coptic Person
Calculates Coptic Egyptian ful mudammas slow cooked fava beans per person.
Calculator Recipe Fteer Meshaltet Coptic Person
Calculates Coptic Egyptian fteer meshaltet flaky layered pancake ingredients per person.
Calculator Recipe Shourabit Eldai Coptic Person
Calculates Coptic Egyptian shourabit eldai chicken soup ingredients per person.
Calculator Recipe Umm Ali Coptic Person
Calculates Coptic Egyptian umm ali bread pudding dessert ingredients per person.
Calculator Recipe Meshabek Coptic Person
Calculates Coptic Egyptian meshabek fried syrup pastry ingredients per person.
Calculator Recipe Mahalabia Coptic Person
Calculates Coptic Egyptian mahalabia milk pudding ingredients per person.
Calculator Recipe Kahwa Coptic Drink Person
Calculates Coptic Egyptian kahwa coffee ingredients per person.
Calculator Recipe Sahlab Coptic Drink Person
Calculates Coptic Egyptian sahlab warm milk drink ingredients per person.
Calculator Metroidvania Indie Axiom Verge 1 Time
Estimates average completion time for Axiom Verge metroidvania indie in hours.
Calculator Metroidvania Indie Cave Story Completion Time 2
Estimates Cave Story metroidvania classic indie completion time.
Calculator Metroidvania Indie Environmental Station Alpha Time 2
Estimates Environmental Station Alpha metroidvania indie completion time.
Calculator Metroidvania Indie Shadow Complex Time 2
Estimates Shadow Complex metroidvania indie completion time.
Calculator Metroidvania Indie Yoku Island Time 2
Estimates Yoku Island Express metroidvania pinball completion time.
Calculator Metroidvania Indie Blasphemous 1 Completion Time
Estimates Blasphemous metroidvania soulslike indie completion time.
Calculator Metroidvania Indie Grime Completion Time 2
Estimates Grime metroidvania soulslike indie completion time.
Calculator Metroidvania Indie Prince Persia Lost Crown Time 2
Estimates Prince of Persia Lost Crown metroidvania completion time.
Calculator Metroidvania Indie Record Lodoss Deedlit Time 2
Estimates Record of Lodoss Deedlit metroidvania indie completion time.
Calculator Metroidvania Indie Lost Ruins Time 2
Estimates Lost Ruins metroidvania indie completion time.
Calculator Metroidvania Indie Elderand Time 2
Estimates Elderand metroidvania indie completion time.
Calculator Metroidvania Indie Foretales Time 2
Estimates Foretales metroidvania indie completion time.
Calculator Metroidvania Indie Momodora Time 2
Estimates Momodora metroidvania indie completion time.
Calculator Azure Cosmos Throughput RPS Second 2
Calculates Azure Cosmos DB requests per second throughput.
Calculator Azure Cosmos Replication Overhead Bytes
Calculates Azure Cosmos DB replication overhead in bytes.
Calculator Azure Cosmos Storage Overhead GB
Calculates Azure Cosmos DB storage overhead in GB.
Calculator Azure Cosmos Changefeed Throughput Second
Calculates Azure Cosmos DB change feed throughput per second.
Calculator Azure SQL DB Throughput TPS Second 2
Calculates Azure SQL Database transactions per second throughput.
Calculator Azure SQL DB Storage Overhead GB 2
Calculates Azure SQL Database storage overhead in GB.
Calculator Azure SQL Managed Instance Throughput TPS
Calculates Azure SQL Managed Instance transactions per second.
Calculator Azure Synapse Throughput Queries Second
Calculates Azure Synapse Analytics queries per second throughput.
Calculator Azure Data Lake Throughput Second
Calculates Azure Data Lake Storage throughput in MB per second.
Calculator Azure Blob Storage Throughput Second
Calculates Azure Blob Storage throughput in MB per second.
Calculator Azure Table Storage Throughput Second
Calculates Azure Table Storage operations per second throughput.
Calculator Azure Queue Storage Throughput Second
Calculates Azure Queue Storage messages per second throughput.
Calculator Adult Advanced Cardiology STEMI MI Criteria
Evaluates STEMI myocardial infarction diagnostic criteria.
Calculator Adult Advanced Cardiology NSTEMI MI Criteria
Evaluates NSTEMI myocardial infarction diagnostic criteria.
Calculator Adult Advanced Cardiology Dilated Cardiomyopathy Criteria
Evaluates dilated cardiomyopathy diagnostic criteria in adults.
Calculator Adult Advanced Cardiology Hypertrophic Cardiomyopathy Criteria
Evaluates hypertrophic cardiomyopathy diagnostic criteria in adults.
Calculator Adult Advanced Cardiology Restrictive Cardiomyopathy Criteria
Evaluates restrictive cardiomyopathy diagnostic criteria in adults.
Calculator Adult Advanced Cardiology Myocarditis Criteria
Evaluates myocarditis diagnostic criteria in adults.
Calculator Adult Advanced Cardiology Pericarditis Criteria
Evaluates pericarditis diagnostic criteria in adults.
Calculator Adult Advanced Cardiology Tamponade Criteria
Evaluates cardiac tamponade diagnostic criteria in adults.
Calculator Adult Advanced Cardiology Aortic Dissection Criteria
Evaluates acute aortic dissection diagnostic criteria in adults.
Calculator Adult Advanced Cardiology Aortic Aneurysm Criteria
Evaluates aortic aneurysm diagnostic criteria in adults.
Calculator Adult Advanced Cardiology Aortic Coarctation Adult
Evaluates aortic coarctation diagnostic criteria in adults.
Calculator Adult Advanced Cardiology Bicuspid Aortic Valve Adult
Evaluates bicuspid aortic valve diagnostic criteria in adults.
Calculator Recipe Thieboudienne Senegalese Person Quantity
Calculates Senegalese thieboudienne national dish ingredients per person.
Calculator Recipe Yassa Senegalese Person Quantity
Calculates Senegalese yassa traditional dish ingredients per person.
Calculator Recipe Mafe Senegalese Person Quantity
Calculates Senegalese mafe peanut stew ingredients per person.
Calculator Recipe Poulet Yassa Senegalese Person
Calculates Senegalese poulet yassa lemon chicken ingredients per person.
Calculator Recipe Poisson Yassa Senegalese Person
Calculates Senegalese poisson yassa lemon fish ingredients per person.
Calculator Recipe Domoda Senegalese Person Quantity
Calculates Senegalese domoda peanut stew ingredients per person.
Calculator Recipe Bissap Senegalese Drink Person
Calculates Senegalese bissap hibiscus drink ingredients per person.
Calculator Recipe Bouye Senegalese Drink Person
Calculates Senegalese bouye baobab drink ingredients per person.
Calculator Recipe Ngalakh Senegalese Person Quantity
Calculates Senegalese ngalakh millet dessert ingredients per person.
Calculator Recipe Thiakry Senegalese Person Quantity
Calculates Senegalese thiakry semolina yogurt ingredients per person.
Calculator Recipe Pastel Senegalese Person Quantity
Calculates Senegalese pastel fried snack ingredients per person.
Calculator Recipe Fataya Senegalese Person Quantity
Calculates Senegalese fataya pastry ingredients per person.
Calculator Recipe Coco Puriche Senegalese Person
Calculates Senegalese coco puriche coconut sweet ingredients per person.
Calculator Physics Puzzle Portal Remastered Time Complete
Estimates average time to complete Portal physics puzzle remaster.
Calculator Physics Puzzle Portal 2 Remastered Time Complete
Estimates average time to complete Portal 2 physics puzzle remaster.
Calculator Physics Puzzle The Witness Remastered Time
Estimates average time to complete The Witness puzzle remaster.
Calculator Physics Puzzle Talos Principle Remastered Time
Estimates average time to complete Talos Principle remaster.
Calculator Physics Puzzle The Talos Principle 2 Time
Estimates average time to complete The Talos Principle 2 puzzle.
Calculator Physics Puzzle Bridge Constructor Time
Estimates average time to complete Bridge Constructor physics puzzle.
Calculator Physics Puzzle Bridge Constructor Portal Time
Estimates average time to complete Bridge Constructor Portal puzzle.
Calculator Physics Puzzle Poly Bridge 2 Time
Estimates average time to complete Poly Bridge 2 physics puzzle.
Calculator Physics Puzzle World of Goo Time
Estimates average time to complete World of Goo physics puzzle.
Calculator Physics Puzzle Cut the Rope Remastered Time
Estimates average time to complete Cut the Rope remaster.
Calculator Physics Puzzle Angry Birds Remastered Time
Estimates average time to complete Angry Birds physics puzzle remaster.
Calculator Physics Puzzle Papa Pear Saga Time
Estimates average time to complete Papa Pear Saga physics puzzle.
Calculator Physics Puzzle The Incredible Machine Remastered Time
Estimates average time to complete The Incredible Machine remaster.
Calculator Slack Webhook Throughput Second
Calculates Slack incoming webhook messages per second throughput.
Calculator Slack Webhook Overhead Bytes
Calculates JSON envelope overhead in bytes for Slack webhook.
Calculator Slack Bot Throughput Messages Second
Calculates Slack bot messages per second throughput via API.
Calculator Teams Webhook Throughput Second
Calculates Microsoft Teams webhook messages per second throughput.
Calculator Teams Webhook Overhead Bytes
Calculates Adaptive Card envelope overhead in bytes for Teams webhook.
Calculator Teams Bot Throughput Messages Second
Calculates Microsoft Teams bot messages per second throughput.
Calculator Discord Webhook Throughput Second 2
Calculates Discord webhook messages per second advanced throughput.
Calculator Discord Webhook Overhead Bytes
Calculates embed envelope overhead in bytes for Discord webhook.
Calculator Mattermost Webhook Throughput Second
Calculates Mattermost incoming webhook messages per second throughput.
Calculator Rocket Chat Webhook Throughput Second
Calculates Rocket Chat webhook messages per second throughput.
Calculator Signal Bot Throughput Messages Second
Calculates Signal bot messages per second throughput via signal-cli.
Calculator WhatsApp Bot Throughput Messages Second
Calculates WhatsApp bot messages per second throughput via Business API.
Calculator Obesity Person BMI Classification
Calculates BMI and classifies obesity grade per WHO criteria.
Calculator Obesity Person Waist Circumference Criteria
Evaluates metabolic risk by waist circumference in obesity.
Calculator Obesity Person Bioimpedance Criteria
Evaluates body composition and fat by bioimpedance in obesity.
Calculator Obesity Person BMR Formula
Calculates basal metabolic rate generic formula for obese patient.
Calculator Obesity Person BMR Mifflin St Jeor
Calculates basal metabolic rate using Mifflin St Jeor formula.
Calculator Obesity Person BMR Harris Benedict
Calculates basal metabolic rate using revised Harris Benedict formula.
Calculator Obesity Person Diet Score
Scores diet adherence in obesity patient.
Calculator Obesity Person Weight Loss Budget Months
Estimates weight loss budget in months by caloric goal.
Calculator Obesity Person Exercise Belt Score
Scores cardio and strength exercise plan in obesity.
Calculator Obesity Person Bariatric Surgery Criteria
Evaluates bariatric surgery indication criteria for obesity.
Calculator Obesity Person Anti Obesity Medication Criteria
Evaluates anti obesity medication use criteria.
Calculator Obesity Person Intragastric Balloon Criteria
Evaluates intragastric balloon indication criteria in obesity.
Calculator Recipe Griot Traditional Haitian Person Quantity 2
Calculates Haitian fried pork griot ingredients per person variant 2
Calculator Recipe Soup Joumou Traditional Haitian Person 2
Calculates Haitian soup joumou ingredients per person variant 2
Calculator Recipe Poulet Creole Traditional Haitian Person 2
Calculates Haitian creole chicken ingredients per person variant 2
Calculator Recipe Tassot Haitian Person Quantity 2
Calculates Haitian tassot dried meat ingredients per person variant 2
Calculator Recipe Legume Haitian Person Quantity 2
Calculates Haitian legume stew ingredients per person variant 2
Calculator Recipe Banane Pesee Haitian Person Quantity 2
Calculates Haitian banane pesee plantain ingredients per person variant 2
Calculator Recipe Marinad Haitian Person Quantity 2
Calculates Haitian marinad fritter ingredients per person variant 2
Calculator Recipe Akra Haitian Person Quantity 3
Calculates Haitian akra fritter ingredients per person variant 3
Calculator Recipe Pen Haitian Person Quantity 2
Calculates Haitian pen bread ingredients per person variant 2
Calculator Recipe Douce Haitian Person Quantity 2
Calculates Haitian douce sweet ingredients per person variant 2
Calculator Recipe Bouillon Haitian Person Quantity 2
Calculates Haitian bouillon broth ingredients per person variant 2
Calculator Recipe Pepe Soup Haitian Person Quantity 2
Calculates Haitian pepe soup ingredients per person variant 2
Calculator Recipe Aleve Haitian Beverage Person
Calculates Haitian aleve beverage ingredients per person
Calculator Strategy Turn Civilization 6 Time Civ 2
Estimates average time to complete Civilization 6 per civilization variant 2
Calculator Strategy Turn Old World Time Complete
Estimates average time to complete Old World typical match
Calculator Strategy Turn Humankind Time Complete
Estimates average time to complete Humankind typical match
Calculator Strategy Turn Millennia Time Complete
Estimates average time to complete Millennia typical match
Calculator Strategy Turn Amplitude Endless Legend Time
Estimates average time to complete Endless Legend typical match
Calculator Strategy Turn Amplitude Endless Space 2 Time
Estimates average time to complete Endless Space 2 typical match
Calculator Strategy Turn Endless Dungeon Time
Estimates average time to complete Endless Dungeon typical match
Calculator Strategy Turn Stellaris Time Complete Civ 2
Estimates average time to complete Stellaris per civilization variant 2
Calculator Strategy Turn Jagged Alliance 3 Time
Estimates average time to complete Jagged Alliance 3 typical match
Calculator Strategy Turn Vasco Da Gama Time
Estimates average time to complete Vasco Da Gama typical match
Calculator Strategy Turn Old World 2 Time
Estimates average time to complete Old World 2 typical match
Calculator Strategy Turn Blackguards Time
Estimates average time to complete Blackguards typical match
Calculator Strategy Turn Blackguards 2 Time
Estimates average time to complete Blackguards 2 typical match
Calculator Helm Throughput RPS Charts Second
Calculates Helm chart rendering throughput per second
Calculator Helm Overhead Templates MB
Calculates memory overhead of Helm templates in MB
Calculator Kustomize Throughput RPS Overlays Second
Calculates Kustomize overlay rendering throughput per second
Calculator Kustomize Overhead Patches MB
Calculates memory overhead of Kustomize patches in MB
Calculator ArgoCD Throughput Applications Second
Calculates ArgoCD Applications sync throughput per second
Calculator ArgoCD Overhead Sync Second
Calculates ArgoCD sync overhead in seconds
Calculator ArgoCD Rollback Time Second
Calculates ArgoCD rollback time in seconds
Calculator FluxCD Throughput Applications Second
Calculates FluxCD reconciliation throughput per second
Calculator FluxCD Overhead Sync Second
Calculates FluxCD sync overhead in seconds
Calculator FluxCD Rollback Time Second
Calculates FluxCD rollback time in seconds
Calculator Jsonnet Render Time Templates
Calculates average rendering time of Jsonnet templates
Calculator Cuelang Render Time Templates
Calculates average rendering time of Cuelang templates
Calculator Gynecology Oncology Breast Cancer Person TNM
Evaluates breast cancer TNM staging in woman
Calculator Gynecology Oncology Ovarian Cancer Person TNM
Evaluates ovarian cancer TNM staging in woman
Calculator Gynecology Oncology Cervical Cancer Person TNM
Evaluates cervical cancer TNM staging in woman
Calculator Gynecology Oncology Endometrial Cancer Person TNM
Evaluates endometrial cancer TNM staging in woman
Calculator Gynecology Oncology Fallopian Tube Cancer Person TNM
Evaluates fallopian tube cancer TNM staging in woman
Calculator Gynecology Oncology Vaginal Cancer Person TNM
Evaluates vaginal cancer TNM staging in woman
Calculator Gynecology Oncology Vulvar Cancer Person TNM
Evaluates vulvar cancer TNM staging in woman
Calculator Gynecology Oncology Choriocarcinoma Person FIGO
Evaluates choriocarcinoma FIGO staging in woman
Calculator Gynecology Oncology Hydatidiform Mole Person FIGO
Evaluates hydatidiform mole FIGO staging in woman
Calculator Gynecology Oncology Uterine Sarcoma Person
Evaluates uterine sarcoma staging in woman
Calculator Gynecology Oncology Pseudomyxoma Peritonei Person
Evaluates pseudomyxoma peritonei staging in woman
Calculator Gynecology Oncology Breast Screening Person Years
Calculates breast screening periodicity in years
Calculator Recipe Amala Yoruba Person Quantity
Calculates ingredientes do amala yoruba pasta de inhame per person
Calculator Recipe Ewedu Yoruba Person Quantity
Calculates ingredientes do ewedu sopa de juta yoruba per person
Calculator Recipe Gbegiri Yoruba Person Quantity
Calculates ingredientes do gbegiri sopa de feijao yoruba per person
Calculator Recipe Egusi Yoruba Person Quantity
Calculates ingredientes do egusi sopa de melao yoruba per person
Calculator Recipe Eba Yoruba Person Quantity
Calculates ingredientes do eba pasta de mandioca yoruba per person
Calculator Recipe Iyan Yoruba Person Quantity
Calculates ingredientes do iyan pounded yam yoruba per person
Calculator Recipe Akara Yoruba Person Quantity
Calculates ingredientes do akara bolinho de feijao yoruba per person
Calculator Recipe Moin Moin Yoruba Person Quantity
Calculates ingredientes do moin moin pudim de feijao yoruba per person
Calculator Recipe Asaro Yoruba Person Quantity
Calculates ingredientes do asaro pottage de inhame yoruba per person
Calculator Recipe Pepper Soup Yoruba Person Quantity
Calculates ingredientes do pepper soup sopa apimentada yoruba per person
Calculator Recipe Jollof Yoruba Person Quantity 2
Calculates ingredientes do jollof rice yoruba variante 2 per person
Calculator Recipe Puff Puff Yoruba Person Quantity 2
Calculates ingredientes do puff puff bolinho doce yoruba variante 2 per person
Calculator Recipe Zobo Yoruba Drink Person
Calculates ingredientes da bebida zobo de hibisco yoruba per person
Calculator Platformer Retro Mario 1985 NES Time
Estimates tempo para zerar Super Mario Bros 1985 no NES
Calculator Platformer Retro Mario 3 NES Time
Estimates tempo para zerar Super Mario Bros 3 no NES
Calculator Platformer Retro Mario World SNES Time
Estimates tempo para zerar Super Mario World no SNES
Calculator Platformer Retro Sonic 1991 Genesis Time
Estimates tempo para zerar Sonic the Hedgehog 1991 no Genesis
Calculator Platformer Retro Sonic 2 Genesis Time
Estimates tempo para zerar Sonic 2 no Genesis
Calculator Platformer Retro Sonic 3K Genesis Time
Estimates tempo para zerar Sonic 3 e Knuckles no Genesis
Calculator Platformer Retro Rayman Classic Time
Estimates tempo para zerar Rayman classico 1995
Calculator Platformer Retro Crash Classic Time
Estimates tempo para zerar Crash Bandicoot classico 1996
Calculator Platformer Retro Spyro Classic Time
Estimates tempo para zerar Spyro the Dragon classico 1998
Calculator Platformer Retro Megaman 2 NES Time
Estimates tempo para zerar Megaman 2 no NES
Calculator Platformer Retro Megaman X SNES Time
Estimates tempo para zerar Megaman X no SNES
Calculator Platformer Retro Castlevania 1 NES Time
Estimates tempo para zerar Castlevania 1986 no NES
Calculator Platformer Retro Castlevania 3 NES Time
Estimates tempo para zerar Castlevania 3 Dracula Curse no NES
Calculator Datadog Throughput Metrics Second 2
Calculates throughput de metricas no Datadog por segundo variante 2
Calculator Datadog Traces Throughput Spans Second 2
Calculates throughput de spans no Datadog APM variante 2
Calculator Datadog Logs Throughput Events Second 2
Calculates throughput de logs no Datadog variante 2
Calculator New Relic Throughput Metrics Second
Calculates throughput de metricas no New Relic per second
Calculator New Relic Traces Throughput Spans Second 2
Calculates throughput de spans no New Relic APM variante 2
Calculator New Relic Logs Throughput Events Second
Calculates throughput de logs no New Relic per second
Calculator Grafana Throughput Queries Second
Calculates throughput de queries no Grafana per second
Calculator Grafana Cloud Traces Throughput Second
Calculates throughput de traces no Grafana Cloud per second
Calculator Grafana Cloud Logs Throughput Second
Calculates throughput de logs no Grafana Cloud per second
Calculator Prometheus Throughput Samples Second
Calculates throughput de samples ingeridos no Prometheus
Calculator Loki Throughput Logs Second
Calculates throughput de log lines ingeridas no Loki
Calculator Time Traces Throughput Second
Calculates throughput de traces no Grafana Tempo per second
Calculator Cardiovascular Surgery Person Time Recovery CABG
Estimates tempo de recuperacao apos cirurgia de revascularizacao miocardica CABG
Calculator Cardiovascular Surgery Person Time Recovery Valvular Mitral
Estimates tempo de recuperacao apos cirurgia valvular mitral
Calculator Cardiovascular Surgery Person Time Recovery Valvular Aortica
Estimates tempo de recuperacao apos cirurgia valvular aortica
Calculator Cardiovascular Surgery Person Time Recovery Repair CIA
Estimates tempo de recuperacao apos correcao de comunicacao interatrial CIA
Calculator Cardiovascular Surgery Person Time Recovery Repair CIV
Estimates tempo de recuperacao apos correcao de comunicacao interventricular CIV
Calculator Cardiovascular Surgery Person Time Recovery Fontan
Estimates tempo de recuperacao apos cirurgia de Fontan paliacao univentricular
Calculator Cardiovascular Surgery Person Time Recovery Glenn
Estimates tempo de recuperacao apos cirurgia bidirecional de Glenn
Calculator Cardiovascular Surgery Person Time Recovery Norwood
Estimates tempo de recuperacao apos cirurgia de Norwood SHL hipoplasia
Calculator Cardiovascular Surgery Person Time Recovery Ross
Estimates tempo de recuperacao apos cirurgia de Ross autoenxerto pulmonar
Calculator Cardiovascular Surgery Person Time Recovery Arnoff
Estimates tempo de recuperacao apos cirurgia de Arnoff aneurisma de Aorta torax
Calculator Cardiovascular Surgery Person Time Recovery Davies
Estimates tempo de recuperacao apos cirurgia de David valve-sparing aortica
Calculator Cardiovascular Surgery Person Time Recovery Arterial Switch
Estimates tempo de recuperacao apos cirurgia arterial switch Jatene TGA
Calculator Recipe Ugali Kenyan Person Quantity
Calculates ingredientes do ugali queniano fuba de milho per person
Calculator Recipe Nyama Choma Kenyan Person Quantity
Calculates ingredientes do nyama choma carne grelhada queniana per person
Calculator Recipe Sukuma Wiki Kenyan Person Quantity
Calculates ingredientes do sukuma wiki couve refogada queniana per person
Calculator Recipe Pilau Kenyan Person Quantity
Calculates ingredientes do pilau queniano arroz especiado per person
Calculator Recipe Mukimo Kenyan Person Quantity
Calculates ingredientes do mukimo kikuyu queniano per person
Calculator Recipe Githeri Kenyan Person Quantity
Calculates ingredientes do githeri feijao com milho queniano per person
Calculator Recipe Mandazi Kenyan Person Quantity
Calculates ingredientes do mandazi pao frito queniano per person
Calculator Recipe Mahamri Kenyan Person Quantity
Calculates ingredientes do mahamri pao swahili queniano per person
Calculator Recipe Chapati Kenyan Person Quantity
Calculates ingredientes do chapati queniano pao chato per person
Calculator Recipe Chai Kenyan Drink Person
Calculates ingredientes do chai queniano cha com leite per person
Calculator Recipe Uji Kenyan Person Quantity
Calculates ingredientes do uji mingau queniano de milheto per person
Calculator Recipe Pojo Kenyan Person Quantity
Calculates ingredientes do pojo feijao mungo queniano per person
Calculator Recipe Mukimo Mixed Kenyan Person
Calculates ingredientes do mukimo mixed queniano com folhas per person
Calculator Shooter Coop Left 4 Dead Time
Estimates total time to finish Left 4 Dead in coop
Calculator Shooter Coop Left 4 Dead 2 Time
Estimates total time to finish Left 4 Dead 2 in coop
Calculator Shooter Coop Back 4 Blood Time
Estimates total time to finish Back 4 Blood in coop
Calculator Shooter Coop Vermintide 2 Time
Estimates total time to finish Vermintide 2 in coop
Calculator Shooter Coop Darktide Time
Estimates total time to finish Warhammer 40K Darktide in coop
Calculator Shooter Coop Deep Rock Galactic 3 Time
Estimates total time to finish Deep Rock Galactic in coop year 3
Calculator Shooter Coop Payday 2 Time
Estimates total time to finish Payday 2 in coop
Calculator Shooter Coop Payday 3 Time
Estimates total time to finish Payday 3 in coop
Calculator Shooter Coop Borderlands 3 Time
Estimates total time to finish Borderlands 3 in coop
Calculator Shooter Coop Borderlands Pre Sequel Time
Estimates total time to finish Borderlands Pre Sequel in coop
Calculator Shooter Coop Tiny Tina Wonderlands Time
Estimates total time to finish Tiny Tina Wonderlands in coop
Calculator Shooter Coop Aliens Fireteam Elite Time
Estimates total time to finish Aliens Fireteam Elite in coop
Calculator Shooter Coop Evolve Time
Estimates total time to finish Evolve Stage 2 in coop
Calculator Kafka Streams Throughput Events Second
Estimates Kafka Streams throughput in events per second
Calculator Kafka Streams State Store Overhead MB
Estimates Kafka Streams state store overhead in MB RocksDB
Calculator Kafka Streams Windowing Time MS
Estimates Kafka Streams windowing time in milliseconds
Calculator Kafka Streams Joins Throughput Second
Estimates Kafka Streams joins throughput per second
Calculator Akka Streams Throughput Events Second
Estimates Akka Streams throughput in events per second
Calculator Akka Streams Backpressure Overhead MS
Estimates Akka Streams backpressure overhead in ms
Calculator Akka Streams Grouping Throughput Second
Estimates Akka Streams groupBy throughput per second
Calculator Akka Streams Merging Throughput Second
Estimates Akka Streams merge throughput per second
Calculator Apache Camel Routes Throughput Second
Estimates Apache Camel routes throughput per second
Calculator Apache NiFi Throughput Events Second
Estimates Apache NiFi throughput in events per second
Calculator Mulesoft Routes Throughput Second
Estimates Mulesoft routes throughput per second
Calculator Spring Integration Throughput RPS
Estimates Spring Integration throughput in RPS per channel
Calculator Abdominal Surgery Person Time Recovery Laparotomy
Estimates recovery time after exploratory abdominal laparotomy
Calculator Abdominal Surgery Person Time Recovery Laparoscopy
Estimates recovery time after abdominal laparoscopic surgery
Calculator Abdominal Surgery Person Time Recovery Robotic
Estimates recovery time after robotic abdominal surgery
Calculator Abdominal Surgery Person Time Recovery Cholecystectomy 2
Estimates recovery time after abdominal cholecystectomy
Calculator Abdominal Surgery Person Time Recovery Appendectomy 2
Estimates recovery time after abdominal appendectomy
Calculator Abdominal Surgery Person Time Recovery Inguinal Hernia 2
Estimates recovery time after abdominal inguinal hernia repair
Calculator Abdominal Surgery Person Time Recovery Umbilical Hernia 2
Estimates recovery time after abdominal umbilical hernia repair
Calculator Abdominal Surgery Person Time Recovery Incisional 2
Estimates recovery time after abdominal incisional hernia repair
Calculator Abdominal Surgery Person Time Recovery Bariatric 2
Estimates recovery time after abdominal bariatric surgery
Calculator Abdominal Surgery Person Time Recovery Pancreatic 2
Estimates recovery time after abdominal pancreatic surgery
Calculator Abdominal Surgery Person Time Recovery Hepatic 2
Estimates recovery time after abdominal hepatic surgery
Calculator Abdominal Surgery Person Time Recovery Splenic 2
Estimates recovery time after abdominal splenectomy
Calculator Recipe Jollof Ghanaian Person Quantity
Calculates jollof ghanaian rice tomato per person.
Calculator Recipe Banku Ghanaian Person Quantity
Calculates banku fermented corn dough per person.
Calculator Recipe Fufu Ghanaian Person Quantity
Calculates fufu ghanaian yam cassava per person.
Calculator Recipe Kelewele Ghanaian Person Quantity
Calculates kelewele fried spiced plantain per person.
Calculator Recipe Waakye Ghanaian Person Quantity
Calculates waakye rice and beans per person.
Calculator Recipe Red Red Ghanaian Person Quantity
Calculates red red black eyed peas palm oil per person.
Calculator Recipe Grilled Tilapia Ghanaian Person
Calculates ghanaian grilled tilapia per person.
Calculator Recipe Shito Ghanaian Person Quantity
Calculates shito dried pepper sauce per person.
Calculator Recipe Koko Ghanaian Person Quantity
Calculates koko fermented corn porridge per person.
Calculator Recipe Bofrot Ghanaian Person Quantity
Calculates bofrot sweet fried dough balls per person.
Calculator Recipe Chinchinga Ghanaian Person
Calculates chinchinga ghanaian skewer per person.
Calculator Recipe Sobolo Ghanaian Drink Person
Calculates sobolo hibiscus drink per person.
Calculator Recipe Asana Ghanaian Drink Person
Calculates asana fermented corn drink per person.
Calculator Stealth Indie Mark Of The Ninja Time Complete 2
Estimates hours to complete Mark of the Ninja second run.
Calculator Stealth Indie Volume Time Complete
Estimates hours to complete stealth Volume.
Calculator Stealth Indie Gunpoint Time Complete
Estimates hours to complete Gunpoint puzzle stealth.
Calculator Stealth Indie Floor Roof Time Complete
Estimates hours to complete Floor Roof indie stealth.
Calculator Stealth Indie Tron Revival Time
Estimates hours to complete Tron Revival stealth.
Calculator Stealth Indie Pawnbarian Time Complete
Estimates hours to complete Pawnbarian tactical deck stealth.
Calculator Stealth Indie Monaco Time Complete
Estimates hours to complete Monaco indie stealth co-op.
Calculator Stealth Indie Aragami Time Complete
Estimates hours to complete Aragami shadow ninja stealth.
Calculator Stealth Indie Styx Shards Time Complete
Estimates hours to complete Styx Shards stealth.
Calculator Stealth Indie Empire Of Sin Time
Estimates hours to complete Empire of Sin tactical stealth.
Calculator Stealth Indie Shadow Warrior 3 Time
Estimates hours to complete Shadow Warrior 3 stealth segments.
Calculator Stealth Indie Pathologic 2 Time
Estimates hours to complete Pathologic 2 stealth survival.
Calculator Stealth Indie Not Tonight Time
Estimates hours to complete Not Tonight narrative stealth.
Calculator Apache Camel Throughput Routes Second 2
Estimates Apache Camel routes throughput per second new model.
Calculator Apache Camel Overhead Headers Bytes
Calculates Apache Camel headers overhead bytes per message.
Calculator Apache NiFi Throughput Events Second 2
Estimates Apache NiFi events throughput per second.
Calculator Apache NiFi Overhead FlowFile Bytes
Calculates Apache NiFi FlowFile overhead bytes per event.
Calculator MuleSoft Throughput Routes Second 2
Estimates MuleSoft Anypoint routes throughput per second.
Calculator Spring Integration Throughput RPS 2
Estimates Spring Integration RPS refined scenario.
Calculator Spring Cloud Stream Throughput Second
Estimates Spring Cloud Stream events throughput per second.
Calculator Spring Batch Throughput Records Second
Estimates Spring Batch records throughput per second per step.
Calculator Talend Throughput Routes Second
Estimates Talend ESB routes throughput per second.
Calculator Pentaho Throughput Jobs Second
Estimates Pentaho jobs and transformations throughput per second.
Calculator Microsoft BizTalk Throughput Routes
Estimates Microsoft BizTalk routes throughput per second.
Calculator IBM App Connect Throughput Routes
Estimates IBM App Connect routes throughput per second.
Calculator Infecto Bacterial Person Pneumococcal Pneumonia Criteria
Evaluates pneumococcal pneumonia criteria in person.
Calculator Infecto Bacterial Person Meningococcal Meningitis Criteria
Evaluates meningococcal meningitis criteria.
Calculator Infecto Bacterial Person Streptococcal Otitis Media Criteria
Evaluates streptococcal otitis media criteria.
Calculator Infecto Bacterial Person Haemophilus Sinusitis Criteria
Evaluates Haemophilus sinusitis criteria.
Calculator Infecto Bacterial Person Escherichia UTI Criteria
Evaluates Escherichia coli urinary infection criteria.
Calculator Infecto Bacterial Person Pyelonephritis Criteria
Evaluates acute bacterial pyelonephritis criteria.
Calculator Infecto Bacterial Person Streptococcal Cellulitis Criteria
Evaluates streptococcal cellulitis criteria.
Calculator Infecto Bacterial Person Streptococcal Erysipelas Criteria
Evaluates streptococcal erysipelas criteria.
Calculator Infecto Bacterial Person Staphylococcal Impetigo Criteria
Evaluates staphylococcal impetigo criteria.
Calculator Infecto Bacterial Person Cesarean Staphylococcal Criteria
Evaluates post cesarean staphylococcal infection criteria.
Calculator Infecto Bacterial Person Endocarditis Criteria
Evaluates modified Duke endocarditis criteria.
Calculator Infecto Bacterial Person Osteomyelitis Criteria
Evaluates bacterial osteomyelitis criteria.
Calculator Recipe Injera Eritrean Person Quantity
Calculates eritrean injera teff pancake ingredients per person.
Calculator Recipe Zigni Eritrean Person Quantity
Calculates eritrean zigni spicy beef stew ingredients per person.
Calculator Recipe Tsebhi Eritrean Person Quantity
Calculates eritrean tsebhi meat sauce ingredients per person.
Calculator Recipe Hilbet Eritrean Person
Calculates eritrean hilbet bean paste ingredients per person.
Calculator Recipe Shiro Eritrean Person Quantity 2
Calculates eritrean shiro chickpea sauce ingredients per person.
Calculator Recipe Fata Eritrean Person Quantity
Calculates eritrean fata injera breakfast ingredients per person.
Calculator Recipe Genfo Eritrean Person Quantity 2
Calculates eritrean genfo barley porridge ingredients per person.
Calculator Recipe Kichil Eritrean Person Quantity
Calculates eritrean kichil rye bread ingredients per person.
Calculator Recipe Fool Eritrean Person Quantity
Calculates eritrean fool fava bean stew ingredients per person.
Calculator Recipe Kifto Eritrean Person Quantity
Calculates eritrean kifto seasoned raw beef ingredients per person.
Calculator Recipe Sega Wat Eritrean Person
Calculates eritrean sega wat red beef stew ingredients per person.
Calculator Recipe Buna Eritrean Drink Person
Calculates eritrean buna traditional coffee ingredients per person.
Calculator Recipe Tej Eritrean Drink Person
Calculates eritrean tej fermented honey wine ingredients per person.
Calculator FPS Multiplayer Counter Strike 2 Season Time
Estimates Counter Strike 2 hours per season.
Calculator FPS Multiplayer Valorant Season 3 Time
Estimates Valorant hours per competitive act.
Calculator FPS Multiplayer Overwatch 2 Season Time
Estimates Overwatch 2 hours per season.
Calculator FPS Multiplayer Call of Duty Warzone Season Time
Estimates Warzone hours per season.
Calculator FPS Multiplayer Call of Duty Modern Warfare 3 Time
Estimates Modern Warfare 3 multiplayer hours per season.
Calculator FPS Multiplayer Battlefield 2042 Season Time
Estimates Battlefield 2042 hours per season.
Calculator FPS Multiplayer Rainbow Six Siege Season Time
Estimates Rainbow Six Siege hours per season.
Calculator FPS Multiplayer Titanfall 2 Season Time
Estimates Titanfall 2 multiplayer hours per season.
Calculator FPS Multiplayer Paladins 2 Season Time
Estimates Paladins hours per season.
Calculator FPS Multiplayer Marathon Season Time
Estimates Marathon hours per season.
Calculator FPS Multiplayer The Finals Season Time
Estimates The Finals hours per season.
Calculator FPS Multiplayer XDefiant Season Time
Estimates XDefiant hours per season.
Calculator FPS Multiplayer Arc Raiders Season Time
Estimates Arc Raiders hours per season.
Calculator Spring Boot Reactive Throughput RPS
Estimates Spring Boot reactive application throughput in RPS.
Calculator Spring WebFlux Throughput RPS Routes 2
Estimates Spring WebFlux per route reactive throughput RPS.
Calculator Spring R2DBC Throughput RPS
Estimates Spring R2DBC reactive database access throughput RPS.
Calculator Spring Reactor Flux Overhead ms
Estimates Reactor Flux operator overhead in ms.
Calculator Spring Reactor Mono Overhead ms
Estimates Reactor Mono chain overhead in ms.
Calculator Spring Cloud Gateway Throughput RPS
Estimates Spring Cloud Gateway reactive throughput RPS.
Calculator Spring Data Redis Throughput RPS
Estimates Spring Data Redis reactive throughput RPS.
Calculator Spring Data Mongo Throughput RPS
Estimates Spring Data MongoDB reactive throughput RPS.
Calculator Spring Data Cassandra Throughput RPS
Estimates Spring Data Cassandra reactive throughput RPS.
Calculator Spring Data Elasticsearch Throughput RPS
Estimates Spring Data Elasticsearch reactive throughput RPS.
Calculator Spring Data Neo4j Throughput RPS
Estimates Spring Data Neo4j reactive throughput RPS.
Calculator Spring Data Couchbase Throughput RPS
Estimates Spring Data Couchbase reactive throughput RPS.
Calculator Nephrology Dialysis HD Person Weekly Sessions
Calculates weekly hemodialysis sessions per patient.
Calculator Nephrology Dialysis HD Person Kt V
Calculates hemodialysis Kt V adequacy index.
Calculator Nephrology Dialysis HD Person URR Percentage
Calculates hemodialysis URR urea reduction percentage.
Calculator Nephrology Dialysis HD Person Session Time Hours
Calculates hemodialysis session time in hours.
Calculator Nephrology Dialysis Person Dialyzer Type
Evaluates dialyzer choice by surface and flux.
Calculator Nephrology Dialysis Person Blood Flow mL min
Calculates ideal blood flow in mL min for hemodialysis.
Calculator Nephrology Dialysis Person Dialysate Flow mL min
Calculates ideal dialysate flow in mL min.
Calculator Nephrology Dialysis Person Anticoagulation Criteria
Evaluates heparin anticoagulation criteria in dialysis.
Calculator Nephrology Peritoneal Dialysis Person Volumes
Calculates bag volumes in peritoneal dialysis.
Calculator Nephrology Peritoneal Dialysis Person Daily Exchanges
Calculates daily exchange count in peritoneal dialysis.
Calculator Nephrology Peritoneal Dialysis Person Icodextrin
Evaluates icodextrin use in long dwell peritoneal dialysis.
Calculator Nephrology Peritoneal Dialysis Person Amino Acids
Evaluates amino acid solution use in peritoneal dialysis nutrition.
Calculator Recipe Buuz Mongolian Person Quantity
Calculates mongolian buuz steamed dumpling ingredients per person.
Calculator Recipe Khuushuur Mongolian Person Quantity
Calculates mongolian khuushuur fried meat pie ingredients per person.
Calculator Recipe Bantan Mongolian Person Quantity
Calculates mongolian bantan flour soup ingredients per person.
Calculator Recipe Tsuivan Mongolian Person Quantity
Calculates mongolian tsuivan stir fried noodles ingredients per person.
Calculator Recipe Aaruul Mongolian Person Quantity
Calculates mongolian aaruul dried curd cheese ingredients per person.
Calculator Recipe Boortsog Mongolian Person Quantity
Calculates mongolian boortsog fried biscuit ingredients per person.
Calculator Recipe Suutei Tsai Mongolian Drink Person
Calculates mongolian suutei tsai milk salt tea ingredients per person.
Calculator Recipe Airag Mongolian Drink Person
Calculates mongolian airag fermented mares milk ingredients per person.
Calculator Recipe Khorkhog Mongolian Person Quantity
Calculates mongolian khorkhog hot stone cooked mutton ingredients per person.
Calculator Recipe Boodog Mongolian Person Quantity
Calculates mongolian boodog internally stone cooked goat ingredients per person.
Calculator Recipe Tsuni Shol Mongolian Person
Calculates mongolian tsuni shol creamy soup ingredients per person.
Calculator Recipe Bantan Shol Mongolian Person
Calculates mongolian bantan shol crushed dough soup ingredients per person.
Calculator Recipe Aarts Mongolian Person Quantity
Calculates mongolian aarts creamy curd ingredients per person.
Calculator Extraction Escape from Tarkov Time to Complete
Estimates hours to complete an Escape from Tarkov raid run.
Calculator Extraction Hunt Showdown Season Time
Estimates Hunt Showdown gameplay hours per season.
Calculator Extraction Marauders Season Time
Estimates Marauders gameplay hours per season.
Calculator Extraction The Cycle Frontier Time
Estimates hours to complete The Cycle Frontier progression.
Calculator Extraction Incursion Red River Time
Estimates hours to complete Incursion Red River.
Calculator Extraction Dark and Darker Time
Estimates Dark and Darker gameplay hours per season.
Calculator Extraction Vigor Time to Complete
Estimates hours to complete Vigor.
Calculator Extraction Zero Sievert Time to Complete
Estimates hours to complete Zero Sievert.
Calculator Extraction Arena Breakout Season Time
Estimates Arena Breakout gameplay hours per season.
Calculator Extraction Marathon Season Time 2
Estimates Marathon extraction gameplay hours per season.
Calculator Extraction Arc Raiders Season Time 2
Estimates Arc Raiders extraction gameplay hours per season.
Calculator Extraction Blue Protocol Time
Estimates Blue Protocol gameplay hours per season.
Calculator Extraction Hawked Season Time
Estimates Hawked gameplay hours per season.
Calculator MQTT Messages per Second Throughput
Estimates MQTT throughput in messages per second.
Calculator MQTT Overhead Bytes per Packet
Estimates overhead bytes per MQTT publish packet.
Calculator MQTT Broker TPS per Second
Estimates MQTT broker transactions per second.
Calculator MQTT TLS Handshake Overhead ms
Estimates MQTT TLS handshake overhead in ms.
Calculator AMQP RabbitMQ Messages per Second Throughput 2
Estimates AMQP RabbitMQ messages per second throughput.
Calculator AMQP RabbitMQ Overhead Bytes per Packet
Estimates AMQP RabbitMQ overhead bytes per packet.
Calculator AMQP RabbitMQ Broker TPS per Second
Estimates RabbitMQ broker transactions per second.
Calculator AMQP RabbitMQ TLS Handshake Overhead ms
Estimates RabbitMQ TLS handshake overhead in ms.
Calculator CoAP Messages per Second Throughput
Estimates CoAP throughput in messages per second.
Calculator MQTT SN Messages per Second Throughput
Estimates MQTT SN throughput in messages per second.
Calculator STOMP Messages per Second Throughput
Estimates STOMP throughput in messages per second.
Calculator ZMTP ZeroMQ Messages per Second Throughput
Estimates ZMTP ZeroMQ throughput in messages per second.
Calculator Hepatobiliary Surgery Person Recovery Time Hepatectomy
Estimates recovery time after hepatectomy.
Calculator Hepatobiliary Surgery Person Recovery Time Liver Transplant
Estimates recovery time after liver transplant.
Calculator Hepatobiliary Surgery Person Recovery Time Bile Duct
Estimates recovery time after bile duct surgery.
Calculator Hepatobiliary Surgery Person Recovery Time Pancreatectomy 2
Estimates recovery time after distal pancreatectomy.
Calculator Hepatobiliary Surgery Person Recovery Time Whipple
Estimates recovery time after Whipple procedure.
Calculator Hepatobiliary Surgery Person Recovery Time Splenectomy 2
Estimates recovery time after splenectomy.
Calculator Hepatobiliary Surgery Person Recovery Time Pancreas Tx
Estimates recovery time after pancreas transplant.
Calculator Hepatobiliary Surgery Person Recovery Time Cholangitis
Estimates recovery time after drainage in acute cholangitis.
Calculator Hepatobiliary Surgery Person Recovery Time Choledoch
Estimates recovery time after common bile duct exploration.
Calculator Hepatobiliary Surgery Person Recovery Time Cholangiocarcinoma
Estimates recovery time after cholangiocarcinoma resection.
Calculator Hepatobiliary Surgery Person Recovery Time HCC
Estimates recovery time after hepatocellular carcinoma HCC resection.
Calculator Hepatobiliary Surgery Person Recovery Time Liver Metastasis
Estimates recovery time after liver metastasis resection.
Calculator Recipe Plov Turkmen Person Quantity
Calculates Turkmen plov rice with lamb ingredients per person.
Calculator Recipe Manty Turkmen Person Quantity
Calculates Turkmen manty steamed dumpling ingredients per person.
Calculator Recipe Shashlik Turkmen Person Quantity
Calculates Turkmen shashlik lamb skewer ingredients per person.
Calculator Recipe Chorba Turkmen Person Quantity
Calculates Turkmen chorba lamb soup ingredients per person.
Calculator Recipe Chebureki Turkmen Person Quantity
Calculates Turkmen chebureki fried turnover ingredients per person.
Calculator Recipe Borek Turkmen Person Quantity
Calculates Turkmen borek layered pie ingredients per person.
Calculator Recipe Fatir Turkmen Person Quantity
Calculates Turkmen fatir flatbread ingredients per person.
Calculator Recipe Chal Turkmen Drink Person
Calculates Turkmen chal fermented camel milk drink portions per person.
Calculator Recipe Gok Tea Turkmen Drink Person
Calculates Turkmen gok green tea portions per person.
Calculator Recipe Gainac Turkmen Person
Calculates Turkmen gainac cream ingredients per person.
Calculator Recipe Suzma Turkmen Person Quantity
Calculates Turkmen suzma strained yogurt ingredients per person.
Calculator Recipe Yashlama Turkmen Person Quantity
Calculates Turkmen yashlama noodles with sauce ingredients per person.
Calculator Recipe Doganik Turkmen Person Quantity
Calculates Turkmen doganik fluffy biscuit ingredients per person.
Calculator BR Mobile PUBG Mobile Season Time
Estimates PUBG Mobile gameplay hours per season.
Calculator BR Mobile Fortnite Mobile Time
Estimates Fortnite Mobile gameplay hours per season.
Calculator BR Mobile Free Fire Season Time
Estimates Free Fire gameplay hours per season.
Calculator BR Mobile Call of Duty Mobile Season Time
Estimates Call of Duty Mobile gameplay hours per season.
Calculator BR Mobile Apex Legends Mobile Time
Estimates Apex Legends Mobile gameplay hours per season.
Calculator BR Mobile Warzone Mobile Time
Estimates Warzone Mobile gameplay hours per season.
Calculator BR Mobile Knives Out Season Time
Estimates Knives Out gameplay hours per season.
Calculator BR Mobile Rules of Survival Time
Estimates Rules of Survival gameplay hours per season.
Calculator BR Mobile Survivor Royale Time
Estimates Survivor Royale gameplay hours per season.
Calculator BR Mobile Creative Destruction Time
Estimates Creative Destruction gameplay hours per season.
Calculator BR Mobile Cyber Hunter Time
Estimates Cyber Hunter gameplay hours per season.
Calculator BR Mobile Bullet Strike Time
Estimates Bullet Strike gameplay hours per season.
Calculator BR Mobile BBZ Season Time
Estimates BBZ gameplay hours per season.
Calculator Vault Throughput Secrets per Second 2
Estimates Vault throughput in secrets per second.
Calculator Vault Token Throughput per Second 2
Estimates Vault token creation throughput per second.
Calculator Vault Policy Throughput Overhead ms 2
Estimates Vault policy evaluation overhead in ms.
Calculator Vault Dynamic Secrets Throughput 2
Estimates Vault dynamic secrets throughput.
Calculator Boundary Throughput per Second 2
Estimates HashiCorp Boundary sessions per second throughput.
Calculator Consul Connect Mesh Throughput 2
Estimates Consul Connect service mesh throughput.
Calculator Consul Template Render Time ms
Estimates Consul Template render time in ms.
Calculator AWS Secrets Manager Throughput RPS 2
Estimates AWS Secrets Manager throughput in RPS.
Calculator Azure Key Vault Throughput RPS 2
Estimates Azure Key Vault throughput in RPS.
Calculator GCP Secret Manager Throughput RPS 2
Estimates GCP Secret Manager throughput in RPS.
Calculator 1Password Secrets Throughput RPS
Estimates 1Password Secrets Automation throughput in RPS.
Calculator Doppler Secrets Throughput RPS
Estimates Doppler throughput in RPS.
Calculator Endocrine Obesity Person Bariatric Surgery Criteria
Evaluates criteria for bariatric surgery based on BMI and comorbidities.
Calculator Endocrine Obesity Person Gastric Balloon Criteria 2
Evaluates criteria for intragastric balloon use.
Calculator Endocrine Obesity Person Orlistat Dose
Calculates daily orlistat dose for obesity treatment.
Calculator Endocrine Obesity Person Sibutramine Dose
Calculates daily sibutramine dose for obesity treatment.
Calculator Endocrine Obesity Person Liraglutide Dose
Calculates daily liraglutide 3 mg dose for obesity.
Calculator Endocrine Obesity Person Semaglutide Dose
Calculates weekly semaglutide 2.4 mg dose for obesity.
Calculator Endocrine Obesity Person Tirzepatide Dose
Calculates weekly tirzepatide dose for obesity.
Calculator Endocrine Obesity Person Naltrexone Bupropion Dose
Calculates daily naltrexone/bupropion dose for obesity.
Calculator Endocrine Obesity Person Phentermine Dose
Calculates daily phentermine dose for obesity.
Calculator Endocrine Obesity Person Topiramate Phentermine Dose
Calculates daily topiramate/phentermine dose for obesity.
Calculator Endocrine Obesity Person Setmelanotide Dose
Calculates daily setmelanotide dose for rare genetic obesity.
Calculator Endocrine Obesity Person Annual Monitoring Criteria
Evaluates annual obesity monitoring criteria.
Calculator Argentine BBQ Tira de Asado Person Quantity
Calculates grams of Argentine tira de asado per person.
Calculator Argentine BBQ Vacio Person Quantity
Calculates grams of Argentine vacio per person.
Calculator Argentine BBQ Asado de Tira Person Quantity
Calculates grams of asado de tira per person.
Calculator Argentine BBQ Bife de Chorizo Person
Calculates grams of bife de chorizo per person.
Calculator Argentine BBQ Ojo de Bife Person Quantity
Calculates grams of ojo de bife per person.
Calculator Argentine BBQ Asado Banderita Person
Calculates grams of asado banderita per person.
Calculator Argentine BBQ Asado Banderita 2 Person
Calculates grams of asado banderita cut 2 per person.
Calculator Argentine BBQ Chorizo Criollo Person Quantity 2
Calculates chorizo criollo units per person.
Calculator Argentine BBQ Morcilla Person Quantity
Calculates morcilla units per person.
Calculator Argentine BBQ Mollejas Person Quantity
Calculates grams of mollejas per person.
Calculator Argentine BBQ Chinchulines Person Quantity
Calculates grams of chinchulines per person.
Calculator Argentine BBQ Kidneys Person Quantity
Calculates grams of grilled kidneys per person.
Calculator Argentine BBQ Tortilla Criolla Person
Calculates tortilla criolla portions per person.
Calculator Adventure 3D Uncharted 1 Time Complete
Estimates hours to beat Uncharted Drakes Fortune.
Calculator Adventure 3D Uncharted 2 Time Complete
Estimates hours to beat Uncharted 2 Among Thieves.
Calculator Adventure 3D Uncharted 3 Time Complete
Estimates hours to beat Uncharted 3 Drakes Deception.
Calculator Adventure 3D Uncharted 4 Time Complete
Estimates hours to beat Uncharted 4 A Thiefs End.
Calculator Adventure 3D Uncharted Lost Legacy Time
Estimates hours to beat Uncharted Lost Legacy.
Calculator Adventure 3D Tomb Raider 2013 Time
Estimates hours to beat Tomb Raider reboot 2013.
Calculator Adventure 3D Rise Tomb Raider Time
Estimates hours to beat Rise of the Tomb Raider.
Calculator Adventure 3D Shadow Tomb Raider Time
Estimates hours to beat Shadow of the Tomb Raider.
Calculator Adventure 3D Assassins Creed Origins Time
Estimates hours to beat AC Origins.
Calculator Adventure 3D AC Odyssey Time
Estimates hours to beat Assassins Creed Odyssey.
Calculator Adventure 3D AC Valhalla Time
Estimates hours to beat Assassins Creed Valhalla.
Calculator Adventure 3D AC Mirage Time
Estimates hours to beat Assassins Creed Mirage.
Calculator Adventure 3D AC Shadows Time
Estimates hours to beat Assassins Creed Shadows.
Calculator Iceberg Throughput Queries per Second
Estimates Apache Iceberg query throughput per second.
Calculator Iceberg Storage Overhead GB
Estimates Iceberg storage overhead in GB.
Calculator Iceberg Time Travel Overhead ms
Estimates Iceberg time travel additional latency.
Calculator Iceberg Partitioning Throughput
Estimates Iceberg partitioned query throughput.
Calculator Delta Lake Throughput Queries per Second
Estimates Delta Lake query throughput per second.
Calculator Delta Lake Storage Overhead GB
Estimates Delta Lake storage overhead in GB.
Calculator Delta Lake Vacuum Time Seconds
Estimates Delta Lake VACUUM operation time.
Calculator Hudi Throughput Queries per Second
Estimates Apache Hudi query throughput per second.
Calculator Hudi Storage Overhead GB
Estimates Apache Hudi storage overhead in GB.
Calculator Paimon Throughput Queries per Second
Estimates Apache Paimon query throughput per second.
Calculator Trino Iceberg Throughput RPS
Estimates Trino on Iceberg throughput in RPS.
Calculator Presto Delta Throughput RPS
Estimates Presto on Delta throughput in RPS.
Calculator Urologic Oncology Prostate Cancer Person TNM
Evaluates TNM staging for prostate cancer.
Calculator Urologic Oncology Bladder Cancer Person TNM
Evaluates TNM staging for bladder cancer.
Calculator Urologic Oncology Kidney Cancer Person TNM
Evaluates TNM staging for kidney cancer.
Calculator Urologic Oncology Urethra Cancer Person TNM
Evaluates TNM staging for urethra cancer.
Calculator Urologic Oncology Penile Cancer Person TNM
Evaluates TNM staging for penile cancer.
Calculator Urologic Oncology Testicular Cancer Person TNM
Evaluates TNM staging for testicular cancer.
Calculator Urologic Oncology Kidney RCC Person
Evaluates clear cell renal carcinoma criteria.
Calculator Urologic Oncology Chromophobe Kidney Cancer Person
Evaluates chromophobe renal carcinoma criteria.
Calculator Urologic Oncology Papillary Kidney Cancer Person
Evaluates papillary renal carcinoma criteria.
Calculator Urologic Oncology Kidney Cancer Person Fuhrman
Evaluates Fuhrman grade in kidney cancer.
Calculator Urologic Oncology Prostate Cancer Person ISUP
Evaluates ISUP Gleason group in prostate cancer.
Calculator Urologic Oncology Prostate Cancer Person PSA Range
Evaluates PSA risk range in prostate cancer.
Calculator Pakistani Biryani Recipe Person Quantity
Calculates Pakistani biryani portions per person.
Calculator Pakistani Nihari Recipe Person Quantity
Calculates Pakistani nihari portions per person.
Calculator Pakistani Haleem Recipe Person Quantity
Calculates Pakistani haleem portions per person.
Calculator Pakistani Paya Recipe Person Quantity
Calculates Pakistani paya portions per person.
Calculator Pakistani Karahi Recipe Person Quantity
Calculates Pakistani karahi portions per person.
Calculator Pakistani Pulao Recipe Person Quantity
Calculates Pakistani pulao portions per person.
Calculator Pakistani Kebab Recipe Person Quantity
Calculates Pakistani seekh kebab portions per person.
Calculator Pakistani Roti Recipe Person Quantity
Calculates Pakistani roti portions per person.
Calculator Pakistani Paratha Recipe Person Quantity
Calculates Pakistani paratha portions per person.
Calculator Pakistani Chai Drink Person
Calculates Pakistani milk tea portions per person.
Calculator Pakistani Rooh Afza Drink Person
Calculates Pakistani Rooh Afza portions per person.
Calculator Pakistani Falooda Recipe Person
Calculates Pakistani falooda portions per person.
Calculator Pakistani Kheer Recipe Person Quantity
Calculates Pakistani rice pudding portions per person.
Calculator Racing Arcade Need for Speed Unbound Time
Estimates hours to complete Need for Speed Unbound.
Calculator Racing Arcade Forza Horizon 5 Time 2
Estimates hours to complete Forza Horizon 5.
Calculator Racing Arcade Forza Motorsport 2023 Time
Estimates hours to complete Forza Motorsport 2023.
Calculator Racing Arcade Gran Turismo 7 Time
Estimates hours to complete Gran Turismo 7.
Calculator Racing Arcade Trackmania Time 2
Estimates hours to complete Trackmania campaigns.
Calculator Racing Arcade Test Drive Unlimited 3 Time
Estimates hours to complete Test Drive Unlimited Solar Crown.
Calculator Racing Arcade The Crew Motorfest Time
Estimates hours to complete The Crew Motorfest.
Calculator Racing Arcade Burnout Time 2
Estimates hours to complete Burnout Paradise Remastered.
Calculator Racing Arcade Ridge Racer Time 2
Estimates hours to complete Ridge Racer Unbounded.
Calculator Racing Arcade Asphalt 9 Mobile Time
Estimates hours to complete Asphalt 9 mobile.
Calculator Racing Arcade Real Racing 3 Mobile Time
Estimates hours to complete Real Racing 3 mobile.
Calculator Racing Arcade Drift 21 Time
Estimates hours to complete Drift21.
Calculator Racing Arcade Wreckfest Time
Estimates hours to complete Wreckfest.
Calculator Ansible Throughput Tasks per Second
Estimates Ansible tasks per second.
Calculator Ansible Roles Overhead MB
Estimates Ansible roles memory overhead in MB.
Calculator Ansible Playbook Time Seconds
Estimates total Ansible playbook time in seconds.
Calculator Chef Throughput Runtime Receipts 2
Estimates Chef recipes per second.
Calculator Chef Cookbook Overhead MB
Estimates Chef cookbook overhead in MB.
Calculator Puppet Throughput Resources per Second
Estimates Puppet resources per second.
Calculator Puppet Modules Overhead MB
Estimates Puppet modules overhead in MB.
Calculator SaltStack Throughput per Second
Estimates SaltStack throughput per second.
Calculator SaltStack Formulas Overhead MB
Estimates SaltStack formulas overhead in MB.
Calculator CFEngine Throughput Seconds
Estimates CFEngine promises per second.
Calculator CFEngine Policies Overhead MB
Estimates CFEngine policies overhead in MB.
Calculator Bolt Throughput Tasks per Second
Estimates Puppet Bolt tasks per second.
Calculator Hematology Anemia Person Criteria Microcytic Hypochromic
Evaluates lab criteria for microcytic hypochromic anemia.
Calculator Hematology Anemia Person Criteria Normocytic Normochromic
Evaluates lab criteria for normocytic normochromic anemia.
Calculator Hematology Anemia Person Criteria Macrocytic
Evaluates lab criteria for macrocytic anemia.
Calculator Hematology Anemia Person Criteria Hemolytic
Evaluates lab criteria for hemolytic anemia.
Calculator Hematology Anemia Person Criteria Aplastic
Evaluates lab criteria for aplastic anemia.
Calculator Hematology Anemia Person Criteria Megaloblastic 2
Evaluates lab criteria for megaloblastic anemia.
Calculator Hematology Anemia Person Criteria Sickle Cell 2
Evaluates lab criteria for sickle cell anemia.
Calculator Hematology Anemia Person Criteria Thalassemia 2
Evaluates lab criteria for thalassemia.
Calculator Hematology Anemia Person Criteria Chronic Disease
Evaluates lab criteria for anemia of chronic disease.
Calculator Hematology Anemia Person Criteria Renal
Evaluates lab criteria for anemia of chronic kidney disease.
Calculator Hematology Anemia Person Criteria Sideroblastic
Evaluates lab criteria for sideroblastic anemia.
Calculator Hematology Anemia Person Criteria Fanconi
Evaluates lab criteria for Fanconi anemia.
Calculator Bangladeshi Biriyani Recipe Person Quantity
Calculates Bangladeshi biriyani portions per person.
Calculator Bangladeshi Bhuna Khichuri Recipe Person Quantity
Calculates Bangladeshi bhuna khichuri portions per person.
Calculator Bangladeshi Bhuna Mangsho Recipe Person Quantity
Calculates Bangladeshi bhuna mangsho portions per person.
Calculator Bangladeshi Ilish Bhaja Recipe Person Quantity
Calculates Bangladeshi ilish bhaja portions per person.
Calculator Bangladeshi Rui Bhaja Recipe Person Quantity
Calculates Bangladeshi rui bhaja portions per person.
Calculator Bangladeshi Katla Bhaja Recipe Person Quantity
Calculates Bangladeshi katla bhaja portions per person.
Calculator Bangladeshi Chingri Malai Curry Recipe Person Quantity
Calculates Bangladeshi chingri malai curry portions per person.
Calculator Bangladeshi Bhuna Kichuri Recipe Person
Calculates Bangladeshi bhuna kichuri portions per person.
Calculator Bangladeshi Haleem Recipe Person Quantity
Calculates Bangladeshi haleem portions per person.
Calculator Bangladeshi Pitha Recipe Person Quantity
Calculates Bangladeshi pitha portions per person.
Calculator Bangladeshi Mishti Doi Recipe Person Quantity
Calculates Bangladeshi mishti doi portions per person.
Calculator Bangladeshi Rosogolla Recipe Person Quantity
Calculates Bangladeshi rosogolla portions per person.
Calculator Bangladeshi Chai Drink Recipe Person
Calculates Bangladeshi chai drink portions per person.
Calculator Retro NES Super Mario Bros 1985 Time Complete
Estimates hours to beat Super Mario Bros 1985 on NES.
Calculator Retro NES Legend of Zelda Time Complete
Estimates hours to beat Legend of Zelda on NES.
Calculator Retro NES Mega Man 3 Time Complete
Estimates hours to beat Mega Man 3 on NES.
Calculator Retro NES Mike Tyson Punch Out Time Complete
Estimates hours to beat Mike Tyson Punch-Out on NES.
Calculator Retro NES Final Fantasy 1 Time Complete
Estimates hours to beat Final Fantasy 1 on NES.
Calculator Retro NES Double Dragon Time Complete
Estimates hours to beat Double Dragon on NES.
Calculator Retro NES Castlevania 2 Simons Quest Time
Estimates hours to beat Castlevania 2 Simons Quest on NES.
Calculator Retro NES Final Fantasy 2 Time Complete
Estimates hours to beat Final Fantasy 2 on NES.
Calculator Retro SNES Super Mario World Time Complete
Estimates hours to beat Super Mario World on SNES.
Calculator Retro SNES Super Mario 3 All Stars Time
Estimates hours to beat Super Mario Bros 3 All Stars on SNES.
Calculator Retro SNES Zelda A Link to the Past Time
Estimates hours to beat Zelda A Link to the Past on SNES.
Calculator Retro SNES Final Fantasy 3 VI Time Complete
Estimates hours to beat Final Fantasy 3 VI on SNES.
Calculator Retro SNES Chrono Trigger Time Complete
Estimates hours to beat Chrono Trigger on SNES.
Calculator Prometheus Throughput Samples per Second
Estimates Prometheus throughput samples per second.
Calculator Prometheus Storage Overhead MB
Estimates Prometheus storage overhead in MB.
Calculator Prometheus Retention Overhead Years
Estimates Prometheus yearly retention overhead.
Calculator Loki Throughput Logs per Second
Estimates Loki log lines per second.
Calculator Loki Storage Overhead MB
Estimates Loki storage overhead in MB.
Calculator Tempo Traces Throughput per Second
Estimates Tempo traces throughput per second.
Calculator Tempo Storage Overhead MB
Estimates Tempo trace storage overhead in MB.
Calculator Mimir Throughput Samples per Second
Estimates Grafana Mimir samples per second.
Calculator Pyroscope Throughput Samples per Second
Estimates Pyroscope profile samples per second.
Calculator VictoriaMetrics Throughput Samples per Second
Estimates VictoriaMetrics samples per second.
Calculator InfluxDB Throughput Points per Second
Estimates InfluxDB points per second.
Calculator TimescaleDB Throughput Points per Second
Estimates TimescaleDB points per second.
Calculator Oncology Colorectal Person TNM Classification
Evaluates TNM staging in colorectal cancer.
Calculator Oncology Colorectal Person MSI Classification
Evaluates MSI status in colorectal cancer.
Calculator Oncology Colorectal Person KRAS Mutation
Evaluates KRAS mutation in colorectal cancer.
Calculator Oncology Colorectal Person NRAS Mutation
Evaluates NRAS mutation in colorectal cancer.
Calculator Oncology Colorectal Person BRAF V600E Mutation
Evaluates BRAF V600E mutation in colorectal cancer.
Calculator Oncology Colorectal Person HER2 Status
Evaluates HER2 status in colorectal cancer.
Calculator Oncology Colorectal Person Mismatch Repair
Evaluates mismatch repair status in colorectal cancer.
Calculator Oncology Colorectal Person FOLFOX Chemotherapy
Evaluates FOLFOX chemotherapy in colorectal cancer.
Calculator Oncology Colorectal Person FOLFIRI Chemotherapy
Evaluates FOLFIRI chemotherapy in colorectal cancer.
Calculator Oncology Colorectal Person FOLFOXIRI Chemotherapy
Evaluates FOLFOXIRI chemotherapy in colorectal cancer.
Calculator Oncology Colorectal Person Pembrolizumab Immunotherapy
Evaluates pembrolizumab in MSI-high colorectal cancer.
Calculator Oncology Colorectal Person Nivolumab Immunotherapy
Evaluates nivolumab in MSI-high colorectal cancer.
Calculator Sri Lankan Rice and Curry Recipe Person Quantity
Calculates Sri Lankan rice and curry portions per person.
Calculator Sri Lankan String Hoppers Recipe Person Quantity
Calculates string hoppers idiyappam portions per person.
Calculator Sri Lankan Egg Hoppers Recipe Person Quantity
Calculates Sri Lankan egg hoppers appa portions per person.
Calculator Sri Lankan Pittu Recipe Person Quantity
Calculates Sri Lankan steamed pittu portions per person.
Calculator Sri Lankan Kottu Recipe Person Quantity
Calculates Sri Lankan kottu roti portions per person.
Calculator Sri Lankan Lamprais Recipe Person Quantity
Calculates Sri Lankan Burgher lamprais portions per person.
Calculator Sri Lankan Watalappan Recipe Person Quantity
Calculates Sri Lankan watalappan pudding portions per person.
Calculator Sri Lankan Kiribath Recipe Person Quantity
Calculates Sri Lankan kiribath milk rice portions per person.
Calculator Sri Lankan Coconut Sambol Recipe Person Quantity
Calculates Sri Lankan pol sambol portions per person.
Calculator Sri Lankan Fish Cutlet Recipe Person Quantity
Calculates Sri Lankan fish cutlet portions per person.
Calculator Sri Lankan Pol Rotti Recipe Person Quantity
Calculates Sri Lankan pol rotti portions per person.
Calculator Ceylon Tea Sri Lanka Drink Person
Calculates Ceylon tea servings per person.
Calculator Sri Lankan Arrack Drink Person
Calculates Sri Lankan arrack servings per person.
Calculator Retro Genesis Sonic 1 Time to Complete
Estimates time to beat Sonic the Hedgehog 1 on Mega Drive.
Calculator Retro Genesis Sonic 2 Time to Complete
Estimates time to beat Sonic the Hedgehog 2 on Mega Drive.
Calculator Retro Genesis Sonic 3 Time to Complete
Estimates time to beat Sonic the Hedgehog 3 and Knuckles.
Calculator Retro Genesis Shinobi 3 Time
Estimates time to beat Shinobi 3 Return of the Ninja Master.
Calculator Retro Genesis Streets of Rage Time
Estimates time to beat Streets of Rage 1 on Mega Drive.
Calculator Retro Genesis Streets of Rage 2 Time
Estimates time to beat Streets of Rage 2 on Mega Drive.
Calculator Retro Genesis Altered Beast Time
Estimates time to beat Altered Beast on Mega Drive.
Calculator Retro Genesis Golden Axe Time
Estimates time to beat Golden Axe on Mega Drive.
Calculator Retro Genesis Phantasy Star 2 Time
Estimates time to beat Phantasy Star 2 on Mega Drive.
Calculator Retro Master System Alex Kidd Time
Estimates time to beat Alex Kidd in Miracle World.
Calculator Retro Master System Wonder Boy Time
Estimates time to beat Wonder Boy on Master System.
Calculator Retro Master System Sonic Time
Estimates time to beat Sonic on Master System 1991 edition.
Calculator Retro Master System Shinobi Time
Estimates time to beat Shinobi on Master System.
Calculator Sentry Events Throughput per Second
Estimates Sentry events throughput per second.
Calculator Sentry Project Person Month Quotas
Estimates Sentry quota consumption per project and person.
Calculator Sentry Replays Storage Years Retention
Estimates session replay storage on Sentry over years.
Calculator Sentry Tracing Spans Throughput per Second
Estimates Sentry tracing spans throughput per second.
Calculator Sentry Profiling Samples Throughput per Second
Estimates Sentry profiling samples throughput per second.
Calculator Bugsnag Events Throughput per Second
Estimates Bugsnag events throughput per second.
Calculator Rollbar Events Throughput per Second
Estimates Rollbar events throughput per second.
Calculator Airbrake Events Throughput per Second
Estimates Airbrake events throughput per second.
Calculator Honeybadger Events Throughput per Second
Estimates Honeybadger events throughput per second.
Calculator Raygun Events Throughput per Second
Estimates Raygun events throughput per second.
Calculator TrackJS Events Throughput per Second
Estimates TrackJS events throughput per second.
Calculator AppSignal Events Throughput per Second
Estimates AppSignal events throughput per second.
Calculator Endocrine Parathyroid Person PTH Range
Evaluates parathyroid hormone range in parathyroid disease.
Calculator Endocrine Parathyroid Person Total Calcium Range
Evaluates serum total calcium range in parathyroid disease.
Calculator Endocrine Parathyroid Person Ionized Calcium Range
Evaluates serum ionized calcium range in parathyroid disease.
Calculator Endocrine Parathyroid Person Phosphorus Range
Evaluates serum phosphorus range in parathyroid disease.
Calculator Endocrine Parathyroid Person 25OH Vitamin D Range
Evaluates 25OH vitamin D range in parathyroid disease.
Calculator Endocrine Parathyroid Person Magnesium Range
Evaluates serum magnesium range in parathyroid disease.
Calculator Endocrine Parathyroid Person Alkaline Phosphatase
Evaluates alkaline phosphatase in parathyroid disease.
Calculator Endocrine Person Primary Hyperparathyroidism Criteria
Evaluates primary hyperparathyroidism criteria.
Calculator Endocrine Person Secondary Hyperparathyroidism Criteria
Evaluates secondary hyperparathyroidism criteria in CKD.
Calculator Endocrine Person Hypoparathyroidism Criteria
Evaluates hypoparathyroidism criteria.
Calculator Endocrine Parathyroid Person Calcitriol Dose
Calculates calcitriol dose in parathyroid disease.
Calculator Endocrine Parathyroid Person Cinacalcet Dose
Calculates cinacalcet dose in hyperparathyroidism.
Calculator Egyptian Belkebda Potato Recipe Person
Calculates Egyptian belkebda potato portions per person.
Calculator Egyptian Shakshouka Recipe Person
Calculates Egyptian shakshouka portions per person.
Calculator Egyptian Mahalabia Recipe Person
Calculates Egyptian mahalabia pudding portions per person.
Calculator Egyptian Ful and Tameya Recipe Person
Calculates Egyptian ful and tameya portions per person.
Calculator Egyptian Bessara Recipe Person
Calculates Egyptian bessara fava puree portions per person.
Calculator Egyptian Mahshi Cabbage Recipe Person
Calculates Egyptian stuffed cabbage portions per person.
Calculator Egyptian Mahshi Zucchini Recipe Person
Calculates Egyptian stuffed zucchini portions per person.
Calculator Egyptian Mahshi Vine Leaves Recipe Person
Calculates Egyptian stuffed vine leaves portions per person.
Calculator Egyptian Feteer Recipe Person
Calculates Egyptian feteer meshaltet portions per person.
Calculator Egyptian Rocheta Arugula Recipe Person
Calculates Egyptian arugula salad portions per person.
Calculator Egyptian Mehshi Recipe Person
Calculates Egyptian mehshi stuffed vegetables per person.
Calculator Egyptian Tamarhindi Drink Recipe
Calculates Egyptian tamarhindi drink portions per person.
Calculator Egyptian Sobia Drink Recipe
Calculates Egyptian sobia coconut drink portions per person.
Calculator Retro N64 Super Mario 64 Time
Estimates playtime for Super Mario 64.
Calculator Retro N64 Zelda Ocarina of Time Playtime
Estimates playtime for Ocarina of Time.
Calculator Retro N64 Zelda Majoras Mask Playtime
Estimates playtime for Majoras Mask.
Calculator Retro N64 Banjo Kazooie Playtime
Estimates playtime for Banjo-Kazooie.
Calculator Retro N64 Banjo Tooie Playtime
Estimates playtime for Banjo-Tooie.
Calculator Retro N64 Mario Kart 64 Playtime
Estimates playtime for Mario Kart 64.
Calculator Retro PS1 Final Fantasy 7 Playtime
Estimates playtime for Final Fantasy VII.
Calculator Retro PS1 Final Fantasy 8 Playtime
Estimates playtime for Final Fantasy VIII.
Calculator Retro PS1 Final Fantasy 9 Playtime
Estimates playtime for Final Fantasy IX.
Calculator Retro PS1 Metal Gear Solid Playtime
Estimates playtime for Metal Gear Solid.
Calculator Retro PS1 Resident Evil Playtime
Estimates playtime for Resident Evil.
Calculator Retro PS1 Silent Hill Playtime
Estimates playtime for Silent Hill.
Calculator Retro PS1 Castlevania Symphony of the Night Playtime
Estimates playtime for Castlevania SOTN.
Calculator Helm Charts Throughput RPS per Second
Estimates Helm charts rendering throughput per second.
Calculator Helm Templates Overhead MB
Estimates Helm templates overhead in MB.
Calculator Helm History Overhead Seconds
Estimates Helm releases history overhead in seconds.
Calculator Kustomize Overlays Throughput RPS per Second
Estimates Kustomize overlays rendering throughput per second.
Calculator Kustomize Patches Overhead MB
Estimates Kustomize patches overhead in MB.
Calculator Kustomize Base Overhead MB
Estimates Kustomize base overhead in MB.
Calculator Jsonnet Render Time Templates
Estimates Jsonnet templates rendering time.
Calculator CUE lang Render Time Templates
Estimates CUE templates rendering time.
Calculator Tanka Render Time Templates
Estimates Tanka templates rendering time.
Calculator yq Templates Throughput per Second
Estimates yq YAML processing throughput per second.
Calculator jq Templates Throughput per Second
Estimates jq JSON processing throughput per second.
Calculator Grafana Jsonnet Render Time
Estimates Grafonnet dashboards rendering time.
Calculator Aesthetic Plastic Surgery Person Rhinoplasty Recovery Time
Estimates aesthetic rhinoplasty recovery time.
Calculator Aesthetic Plastic Surgery Person Mammaplasty Recovery Time
Estimates aesthetic mammaplasty recovery time.
Calculator Aesthetic Plastic Surgery Person Liposuction Recovery Time
Estimates aesthetic liposuction recovery time.
Calculator Aesthetic Plastic Surgery Person Abdominoplasty Recovery Time
Estimates aesthetic abdominoplasty recovery time.
Calculator Aesthetic Plastic Surgery Person Blepharoplasty Recovery Time
Estimates aesthetic blepharoplasty recovery time.
Calculator Aesthetic Plastic Surgery Person Facelift Recovery Time
Estimates aesthetic facelift recovery time.
Calculator Aesthetic Plastic Surgery Person Otoplasty Recovery Time
Estimates aesthetic otoplasty recovery time.
Calculator Aesthetic Plastic Surgery Person Mentoplasty Recovery Time
Estimates aesthetic mentoplasty recovery time.
Calculator Aesthetic Plastic Surgery Person Breast Implant CC Quantity
Estimates breast implant volume in CC.
Calculator Aesthetic Plastic Surgery Person Botox Units Quantity
Estimates botox units per facial region.
Calculator Aesthetic Plastic Surgery Person Hyaluronic Acid ML Quantity
Estimates hyaluronic acid volume in ML per region.
Calculator Aesthetic Plastic Surgery Person PDO Threads Quantity
Estimates PDO thread count for facial lifting.
Calculator Recipe Doro Wat Orthodox Person Quantity
Calculates Ethiopian Orthodox doro wat portions per person.
Calculator Recipe Misir Wat Orthodox Person
Calculates Ethiopian Orthodox misir wat portions per person.
Calculator Recipe Shiro Orthodox Person Quantity
Calculates Ethiopian Orthodox shiro portions per person.
Calculator Recipe Tibs Orthodox Person Quantity
Calculates Ethiopian Orthodox tibs portions per person.
Calculator Recipe Gomen Orthodox Person Quantity
Calculates Ethiopian Orthodox gomen portions per person.
Calculator Recipe Injera Orthodox Person Quantity
Calculates Ethiopian Orthodox injera portions per person.
Calculator Recipe Yataklete Kilkil Orthodox Person Quantity
Calculates Ethiopian Orthodox yataklete kilkil portions per person.
Calculator Recipe Genfo Orthodox Person Quantity
Calculates Ethiopian Orthodox genfo portions per person.
Calculator Recipe Fitfit Orthodox Person Quantity
Calculates Ethiopian Orthodox fitfit portions per person.
Calculator Recipe Tahini Orthodox Person Quantity
Calculates Ethiopian Orthodox tahini portions per person.
Calculator Recipe Jebena Buna Orthodox Person Quantity
Calculates Ethiopian Orthodox jebena buna coffee portions per person.
Calculator Recipe Tella Orthodox Beverage Person
Calculates Ethiopian Orthodox tella beverage portions per person.
Calculator Recipe Mead Orthodox Beverage Person
Calculates Ethiopian Orthodox tej mead beverage portions per person.
Calculator Retro Dreamcast Sonic Adventure Time
Estimates Sonic Adventure playtime on Dreamcast.
Calculator Retro Dreamcast Shenmue Time
Estimates Shenmue playtime on Dreamcast.
Calculator Retro Dreamcast Shenmue 2 Time
Estimates Shenmue 2 playtime on Dreamcast.
Calculator Retro Dreamcast Soul Calibur Time
Estimates Soul Calibur playtime on Dreamcast.
Calculator Retro Dreamcast Jet Set Radio Time
Estimates Jet Set Radio playtime on Dreamcast.
Calculator Retro Dreamcast Power Stone Time
Estimates Power Stone playtime on Dreamcast.
Calculator Retro PSP God of War Chains Time
Estimates God of War Chains of Olympus playtime on PSP.
Calculator Retro PSP Monster Hunter Freedom Unite Time
Estimates Monster Hunter Freedom Unite playtime on PSP.
Calculator Retro PSP Final Fantasy 7 Crisis Time
Estimates Final Fantasy 7 Crisis Core playtime on PSP.
Calculator Retro PSP Persona 3 Portable Time
Estimates Persona 3 Portable playtime on PSP.
Calculator Retro PSP Tactics Ogre Time
Estimates Tactics Ogre Let Us Cling Together playtime on PSP.
Calculator Retro PSP Patapon Time
Estimates Patapon playtime on PSP.
Calculator Retro PSP Loco Roco Time
Estimates Loco Roco playtime on PSP.
Calculator Redis Cluster Throughput TPS
Estimates Redis Cluster throughput in TPS.
Calculator Redis Cluster Replication Overhead Per Second
Estimates Redis Cluster replication overhead per second.
Calculator Redis Cluster Failover Time MS
Estimates Redis Cluster failover time in ms.
Calculator Hazelcast Throughput TPS
Estimates Hazelcast cluster throughput in TPS.
Calculator Hazelcast Near Cache Overhead MB
Estimates Hazelcast near cache overhead in MB.
Calculator Hazelcast Replication Overhead Per Second
Estimates Hazelcast replication overhead per second.
Calculator Aerospike Throughput TPS
Estimates Aerospike cluster throughput in TPS.
Calculator Aerospike Replication Overhead Per Second
Estimates Aerospike replication overhead per second.
Calculator Apache Ignite Throughput TPS
Estimates Apache Ignite cluster throughput in TPS.
Calculator Apache Ignite Replication Overhead Per Second
Estimates Apache Ignite replication overhead per second.
Calculator Tarantool Throughput TPS
Estimates Tarantool cluster throughput in TPS.
Calculator KeyDB Throughput TPS
Estimates KeyDB cluster throughput in TPS.
Calculator Gynecologic Oncology II Breast Cancer HER2 Positive Criteria
Evaluates HER2 positive criteria in breast cancer.
Calculator Gynecologic Oncology II Breast Cancer Triple Negative Criteria
Evaluates triple negative criteria in breast cancer.
Calculator Gynecologic Oncology II Breast Cancer Luminal A Criteria
Evaluates luminal A criteria in breast cancer.
Calculator Gynecologic Oncology II Breast Cancer Luminal B Criteria
Evaluates luminal B criteria in breast cancer.
Calculator Gynecologic Oncology II Breast Cancer Person Tamoxifen Dose
Estimates tamoxifen dose in breast cancer.
Calculator Gynecologic Oncology II Breast Cancer Person Letrozole Dose
Estimates letrozole dose in breast cancer.
Calculator Gynecologic Oncology II Breast Cancer Person Anastrozole Dose
Estimates anastrozole dose in breast cancer.
Calculator Gynecologic Oncology II Breast Cancer Person Exemestane Dose
Estimates exemestane dose in breast cancer.
Calculator Gynecologic Oncology II Breast Cancer Person Trastuzumab Dose
Estimates trastuzumab dose in HER2 positive breast cancer.
Calculator Gynecologic Oncology II Breast Cancer Person Pertuzumab Dose
Estimates pertuzumab dose in HER2 positive breast cancer.
Calculator Gynecologic Oncology II Breast Cancer Person CDK4/6 Dose
Estimates CDK4/6 inhibitor dose in advanced luminal breast cancer.
Calculator Gynecologic Oncology II Breast Cancer Person PARP Dose
Estimates PARP inhibitor dose in BRCA-mutated breast cancer.
Calculator Recipe Bandera Tricolor Colombian Caribbean Person
Calculates colombian caribbean bandera tricolor portions per person.
Calculator Recipe Coconut Rice Colombian Caribbean Person
Calculates colombian caribbean coconut rice portions per person.
Calculator Recipe Vallenato Empanada Colombian Person
Calculates colombian vallenato empanada portions per person.
Calculator Recipe Bogota Empanada Colombian Person
Calculates colombian bogota empanada portions per person.
Calculator Recipe Triphasic Sancocho Colombian Person
Calculates colombian triphasic sancocho portions per person.
Calculator Recipe Bogota Ajiaco Colombian Person
Calculates colombian bogota ajiaco portions per person.
Calculator Recipe Tolima Lechona Colombian Person
Calculates colombian tolima lechona portions per person.
Calculator Recipe Tolima Tamale Colombian Person
Calculates colombian tolima tamale portions per person.
Calculator Recipe Cundiboyacense Cocido Colombian Person
Calculates colombian cundiboyacense cocido portions per person.
Calculator Recipe Santander Mute Colombian Person
Calculates colombian santander mute portions per person.
Calculator Recipe Valluno Bunuelos Colombian Person
Calculates colombian valluno bunuelos portions per person.
Calculator Recipe Pueblo Chicha Colombian Drink Person
Calculates colombian pueblo chicha drink portions per person.
Calculator Recipe Antioquia Aguardiente Colombian Drink Person
Calculates colombian antioquia aguardiente drink portions per person.
Calculator Puzzle RPG Puzzle Quest Completion Time
Estimates time to complete Puzzle Quest.
Calculator Puzzle RPG Puzzle Quest 2 Completion Time
Estimates time to complete Puzzle Quest 2.
Calculator Puzzle RPG Puzzle Quest 3 Completion Time
Estimates time to complete Puzzle Quest 3.
Calculator Puzzle RPG Puzzle Craft Time
Estimates Puzzle Craft playtime.
Calculator Puzzle RPG Dungeon Raid Time
Estimates Dungeon Raid playtime.
Calculator Puzzle RPG 10000000 Completion Time
Estimates time to complete 10000000.
Calculator Puzzle RPG You Must Build a Boat Time
Estimates You Must Build a Boat playtime.
Calculator Puzzle RPG Marvel Puzzle Quest Time
Estimates Marvel Puzzle Quest playtime.
Calculator Puzzle RPG Magic Puzzle Quest Time
Estimates Magic Puzzle Quest playtime.
Calculator Puzzle RPG Grimcorpse Time
Estimates Grimcorpse playtime.
Calculator Puzzle RPG Empires Puzzles Time
Estimates Empires Puzzles playtime.
Calculator Puzzle RPG Best Fiends Time
Estimates Best Fiends playtime.
Calculator Puzzle RPG Toon Blast Time
Estimates Toon Blast playtime.
Calculator AWS S3 Throughput RPS Bucket
Estimates S3 bucket throughput in RPS.
Calculator AWS S3 Multipart Overhead Bytes
Estimates S3 multipart upload overhead in bytes.
Calculator AWS S3 Lifecycle Overhead Time
Estimates S3 lifecycle rules time overhead.
Calculator AWS S3 Replication Overhead Seconds
Estimates S3 replication overhead in seconds.
Calculator AWS CloudFront Throughput RPS Distribution
Estimates CloudFront distribution throughput in RPS.
Calculator AWS CloudFront Cache Hit Rate Percent
Estimates CloudFront cache hit rate in percent.
Calculator AWS CloudFront Origin Shield Overhead MS
Estimates CloudFront Origin Shield overhead in ms.
Calculator AWS CloudFront Functions Throughput
Estimates CloudFront Functions throughput.
Calculator AWS Lambda Edge Throughput RPS
Estimates Lambda Edge throughput in RPS.
Calculator AWS Global Accelerator Throughput RPS
Estimates AWS Global Accelerator throughput in RPS.
Calculator AWS Route 53 Throughput Queries Per Second
Estimates AWS Route 53 throughput in queries per second.
Calculator AWS Cognito Throughput RPS Tier
Estimates AWS Cognito throughput in RPS per tier.
Calculator Thoracic Surgery Person Recovery Time Pneumonectomy
Estimates recovery time after pneumonectomy.
Calculator Thoracic Surgery Person Recovery Time Lobectomy
Estimates recovery time after lobectomy.
Calculator Thoracic Surgery Person Recovery Time Segmentectomy
Estimates recovery time after pulmonary segmentectomy.
Calculator Thoracic Surgery Person Recovery Time Wedge Resection
Estimates recovery time after pulmonary wedge resection.
Calculator Thoracic Surgery Person Recovery Time Thoracotomy
Estimates recovery time after thoracotomy.
Calculator Thoracic Surgery Person Recovery Time VATS
Estimates recovery time after VATS.
Calculator Thoracic Surgery Person Recovery Time RATS
Estimates recovery time after RATS.
Calculator Thoracic Surgery Person Recovery Time Pleurodesis
Estimates recovery time after pleurodesis.
Calculator Thoracic Surgery Person Recovery Time Thoracic Pleura
Estimates recovery time after thoracic pleural procedure.
Calculator Thoracic Surgery Person Recovery Time Mediastinoscopy
Estimates recovery time after mediastinoscopy.
Calculator Thoracic Surgery Person Recovery Time Mediastinotomy
Estimates recovery time after mediastinotomy.
Calculator Thoracic Surgery Person Recovery Time Tracheoplasty
Estimates recovery time after tracheoplasty.
Calculator Recipe Tequenos Caribbean 2 Person
Calculates caribbean tequenos portions per person.
Calculator Recipe Cachapa Caribbean 2 Person
Calculates caribbean cachapa portions per person.
Calculator Recipe Empanada Caribbean VZ 2 Person
Calculates venezuelan caribbean empanada portions per person.
Calculator Recipe Pabellon Criollo Caribbean VZ 2 Person
Calculates venezuelan caribbean pabellon criollo portions per person.
Calculator Recipe Coconut Rice Caribbean VZ 2 Person
Calculates venezuelan caribbean coconut rice portions per person.
Calculator Recipe Asado Negro Caribbean VZ 2 Person
Calculates venezuelan caribbean asado negro portions per person.
Calculator Recipe Pernil Caribbean VZ 2 Person
Calculates venezuelan caribbean pernil portions per person.
Calculator Recipe Hallacas Caribbean VZ 2 Person
Calculates venezuelan caribbean hallacas portions per person.
Calculator Recipe Pasticho Caribbean VZ 2 Person
Calculates venezuelan caribbean pasticho portions per person.
Calculator Recipe Bollo Pelon Caribbean VZ 2 Person
Calculates venezuelan caribbean bollo pelon portions per person.
Calculator Recipe Pan de Jamon Caribbean VZ 2 Person
Calculates venezuelan caribbean pan de jamon portions per person.
Calculator Recipe Quesillo Caribbean VZ 2 Person
Calculates venezuelan caribbean quesillo portions per person.
Calculator Recipe Chicha Andina Caribbean VZ 2 Drink Person
Calculates venezuelan caribbean chicha andina per person.
Calculator Stealth Indie 2 Shadow Tactics Time
Estimates time to complete Shadow Tactics in stealth mode.
Calculator Stealth Indie 2 Desperados 3 Time
Estimates time to complete Desperados 3 in stealth mode.
Calculator Stealth Indie 2 Mark Ninja Remastered Time
Estimates time to complete Mark of the Ninja Remastered.
Calculator Stealth Indie 2 Styx Mit of Shadows Time
Estimates time to complete Styx Master of Shadows.
Calculator Stealth Indie 2 Aragami 2 Time
Estimates time to complete Aragami 2 in stealth mode.
Calculator Stealth Indie 2 Thief Simulator Time
Estimates time to complete Thief Simulator in stealth mode.
Calculator Stealth Indie 2 Republique Time
Estimates time to complete Republique in stealth mode.
Calculator Stealth Indie 2 Volume Time 2
Estimates time to complete Volume.
Calculator Stealth Indie 2 Gunpoint Time 2
Estimates time to complete Gunpoint.
Calculator Stealth Indie 2 Monaco Time 2
Estimates time to complete Monaco What is Yours is Mine.
Calculator Stealth Indie 2 The Floor Is Time
Estimates time to complete The Floor Is Jelly.
Calculator Stealth Indie 2 Empire of Sin Time 2
Estimates time to complete Empire of Sin.
Calculator Stealth Indie 2 Shadow Warrior 2 Time
Estimates time to complete Shadow Warrior 2.
Calculator Azure Blob Storage Throughput Second 2
Estimates Azure Blob Storage throughput per second.
Calculator Azure File Storage Throughput Second
Estimates Azure File Storage throughput per second.
Calculator Azure Queue Storage Throughput Second 2
Estimates Azure Queue Storage throughput per second.
Calculator Azure Table Storage Throughput Second 2
Estimates Azure Table Storage throughput per second.
Calculator Azure Cosmos Throughput RPS Second 3
Estimates Azure Cosmos DB throughput in RPS per second.
Calculator Azure Cosmos Storage Overhead GB 2
Estimates Azure Cosmos storage overhead in GB.
Calculator Azure Cosmos Changefeed Throughput Second 2
Estimates Azure Cosmos change feed throughput per second.
Calculator Azure Cosmos Multi Region Overhead MS
Estimates Azure Cosmos multi-region latency overhead in ms.
Calculator Azure Cosmos Graph Throughput Second
Estimates Azure Cosmos Gremlin API throughput per second.
Calculator Azure Cosmos Table API Throughput Second
Estimates Azure Cosmos Table API throughput per second.
Calculator Azure Cosmos Mongo API Throughput Second
Estimates Azure Cosmos MongoDB API throughput per second.
Calculator Azure Cosmos Cassandra API Throughput Second
Estimates Azure Cosmos Cassandra API throughput per second.
Calculator Advanced Geriatrics II Frailty CGA Criteria
Assesses frailty using CGA (Comprehensive Geriatric Assessment).
Calculator Advanced Geriatrics II Frailty Fried Criteria
Assesses frailty using Fried criteria.
Calculator Advanced Geriatrics II Frailty Rockwood Criteria
Assesses frailty using Rockwood Clinical Frailty Scale.
Calculator Advanced Geriatrics II Sarcopenia EWGSOP Criteria
Assesses sarcopenia using EWGSOP2 criteria.
Calculator Advanced Geriatrics II Sarcopenia AWGS Criteria
Assesses sarcopenia using Asian AWGS criteria.
Calculator Advanced Geriatrics II Sarcopenia FNIH Criteria
Assesses sarcopenia using FNIH (Foundation NIH) criteria.
Calculator Advanced Geriatrics II Vitamin D Deficiency Criteria
Assesses vitamin D deficiency by lab criteria.
Calculator Advanced Geriatrics II Vitamin B12 Deficiency Criteria
Assesses vitamin B12 deficiency by lab criteria.
Calculator Advanced Geriatrics II Folate Deficiency Criteria
Assesses folate deficiency by lab criteria.
Calculator Advanced Geriatrics II Iron Deficiency Criteria
Assesses iron deficiency by lab criteria.
Calculator Advanced Geriatrics II Zinc Deficiency Criteria
Assesses zinc deficiency by lab criteria.
Calculator Advanced Geriatrics II Calcium Deficiency Criteria
Assesses calcium deficiency by lab criteria.
Calculator Recipe Saltena Altiplano Bolivian Person
Calculates altiplano bolivian saltena portions per person.
Calculator Recipe Anticucho Altiplano Bolivian Person
Calculates altiplano bolivian anticucho portions per person.
Calculator Recipe Silpancho Altiplano Bolivian Person
Calculates altiplano bolivian silpancho portions per person.
Calculator Recipe Peanut Soup Altiplano Bolivian Person
Calculates altiplano bolivian peanut soup portions per person.
Calculator Recipe Pique Macho Altiplano Bolivian Person
Calculates altiplano bolivian pique macho portions per person.
Calculator Recipe Saice Altiplano Bolivian Person
Calculates altiplano bolivian saice portions per person.
Calculator Recipe Majadito Altiplano Bolivian Person
Calculates altiplano bolivian majadito portions per person.
Calculator Recipe Empanada Altiplano Bolivian Person
Calculates altiplano bolivian empanada portions per person.
Calculator Recipe Api Altiplano Bolivian Person
Calculates altiplano bolivian api portions per person.
Calculator Recipe Chuno Altiplano Bolivian Person
Calculates altiplano bolivian chuno portions per person.
Calculator Recipe Tamal Altiplano Bolivian Person
Calculates altiplano bolivian tamal portions per person.
Calculator Recipe Chairo Altiplano Bolivian Person 2
Calculates altiplano bolivian chairo portions per person.
Calculator Recipe Fricase Altiplano Bolivian Person
Calculates altiplano bolivian fricase portions per person.
Calculator TB Survival Darkest Dungeon Time Complete 2
Estimates time to complete Darkest Dungeon in survival mode.
Calculator TB Survival This War of Mine Time
Estimates time to complete This War of Mine.
Calculator TB Survival Fragged Empire Time
Estimates time to complete Fragged Empire.
Calculator TB Survival Banished Time Complete 2
Estimates time to complete Banished in survival mode.
Calculator TB Survival Frostpunk Time Complete 2
Estimates time to complete Frostpunk in survival mode.
Calculator TB Survival State of Decay Time
Estimates time to complete State of Decay.
Calculator TB Survival State of Decay 2 Time
Estimates time to complete State of Decay 2.
Calculator TB Survival Overcooked 2 Time 2
Estimates time to complete Overcooked 2.
Calculator TB Survival Stoneshard Time
Estimates time to complete Stoneshard.
Calculator TB Survival No Rest for the Wicked Time
Estimates time to complete No Rest for the Wicked.
Calculator TB Survival Pinball FX Time
Estimates time to complete Pinball FX in survival mode.
Calculator TB Survival Shadowhand Time
Estimates time to complete Shadowhand.
Calculator TB Survival Monster Train Time
Estimates time to complete Monster Train.
Calculator GCP Firestore Throughput RPS Per Second
Estimates GCP Firestore throughput in RPS per second.
Calculator GCP Firestore Storage Overhead GB
Estimates Firestore storage overhead in GB.
Calculator GCP Firestore Listener Overhead MS
Estimates Firestore realtime listener overhead in ms.
Calculator GCP Spanner Throughput RPS Per Second
Estimates GCP Spanner throughput in RPS per second.
Calculator GCP Spanner Storage Overhead GB
Estimates Spanner storage overhead in GB.
Calculator GCP Spanner Multi Region Overhead MS
Estimates Spanner multi-region latency overhead in ms.
Calculator GCP Bigtable Throughput RPS Per Second
Estimates GCP Bigtable throughput in RPS per second.
Calculator GCP Memorystore Throughput RPS Per Second
Estimates GCP Memorystore throughput in RPS per second.
Calculator GCP Cloud SQL Throughput RPS Per Second
Estimates GCP Cloud SQL throughput in RPS per second.
Calculator GCP AlloyDB Throughput RPS Per Second
Estimates GCP AlloyDB throughput in RPS per second.
Calculator GCP Firebase Realtime Throughput RPS
Estimates Firebase Realtime Database throughput in RPS.
Calculator GCP Firebase Auth Throughput RPS
Estimates Firebase Authentication throughput in RPS.
Calculator Orthopedics Spine Person Recovery Time Discectomy 2
Estimates recovery time after spinal discectomy.
Calculator Orthopedics Spine Person Recovery Time Laminectomy 2
Estimates recovery time after laminectomy.
Calculator Orthopedics Spine Person Recovery Time Fusion 2
Estimates recovery time after spinal fusion.
Calculator Orthopedics Spine Person Recovery Time Cervical 2
Estimates recovery time after cervical spine surgery.
Calculator Orthopedics Spine Person Recovery Time Thoracic 2
Estimates recovery time after thoracic spine surgery.
Calculator Orthopedics Spine Person Recovery Time Lumbar 2
Estimates recovery time after lumbar spine surgery.
Calculator Orthopedics Spine Person Recovery Time Discarthrosis
Estimates recovery time after discarthrosis treatment.
Calculator Orthopedics Spine Person Recovery Time Spondylolisthesis
Estimates recovery time after spondylolisthesis surgery.
Calculator Orthopedics Spine Person Recovery Time Scoliosis
Estimates recovery time after scoliosis correction.
Calculator Orthopedics Spine Person Recovery Time Kyphosis
Estimates recovery time after kyphosis correction.
Calculator Orthopedics Spine Person Recovery Time Spinal Cord Tumor 2
Estimates recovery time after spinal cord tumor surgery.
Calculator Orthopedics Spine Person Recovery Time Vertebral Tumor
Estimates recovery time after vertebral tumor surgery.
Calculator Recipe Ceviche Ecuadorian Coast Person
Calculates Ecuadorian coastal ceviche portions per person.
Calculator Recipe Encebollado Ecuadorian Coast Person
Calculates encebollado portions per person.
Calculator Recipe Bolon Verde Ecuadorian Coast Person
Calculates bolon verde portions per person.
Calculator Recipe Arroz Marinero Ecuadorian Coast Person
Calculates seafood rice portions per person.
Calculator Recipe Corviche Ecuadorian Coast Person
Calculates corviche portions per person.
Calculator Recipe Cazuela Marinera Ecuadorian Coast Person
Calculates cazuela marinera portions per person.
Calculator Recipe Encocado Ecuadorian Coast Person
Calculates encocado portions per person.
Calculator Recipe Pescado Frito Ecuadorian Coast Person
Calculates fried fish portions per person.
Calculator Recipe Bolon Mixto Ecuadorian Coast Person
Calculates mixed bolon portions per person.
Calculator Recipe Pan De Yuca Ecuadorian Coast Person
Calculates pan de yuca portions per person.
Calculator Recipe Mariscos Mixtos Ecuadorian Coast Person
Calculates mixed seafood portions per person.
Calculator Recipe Canelazo Ecuadorian Coast Beverage
Calculates canelazo beverage portions per person.
Calculator Recipe Rompope Ecuadorian Coast Beverage
Calculates rompope beverage portions per person.
Calculator Escape VR I Expect You To Die Time
Estimates average completion time for I Expect You To Die in VR.
Calculator Escape VR I Expect You To Die 2 Time
Estimates average completion time for I Expect You To Die 2 in VR.
Calculator Escape VR Cosmonious High Time
Estimates average completion time for Cosmonious High in VR.
Calculator Escape VR Myst VR Time
Estimates average completion time for Myst VR.
Calculator Escape VR The Room VR Time
Estimates average completion time for The Room VR.
Calculator Escape VR Rusty Lake VR Time
Estimates average completion time for Rusty Lake VR.
Calculator Escape VR Eleven Table Tennis VR Time
Estimates average session time in Eleven Table Tennis VR.
Calculator Escape VR Pistol Whip VR Time
Estimates average session time in Pistol Whip VR.
Calculator Escape VR Mossy Fortune VR Time
Estimates average completion time for Mossy Fortune VR.
Calculator Escape VR Deisim Time
Estimates average session time in Deisim VR.
Calculator Escape VR Creed Rise To Glory Time
Estimates average completion time for Creed Rise To Glory VR.
Calculator Escape VR Asgards Wrath 2 Time 2
Estimates average completion time for Asgards Wrath 2 in VR.
Calculator Escape VR Resident Evil Village VR Time 2
Estimates average completion time for Resident Evil Village in VR.
Calculator Snowflake Throughput Queries Second 2
Calculates query throughput per second in Snowflake.
Calculator Snowflake Storage Overhead GB Type 2
Estimates storage overhead in Snowflake by table type.
Calculator Snowflake Warehouse Credits Seconds 2
Estimates credit consumption by warehouse in Snowflake.
Calculator Firebolt Throughput Queries Second
Calculates query throughput per second in Firebolt.
Calculator Firebolt Storage Overhead GB
Estimates storage overhead in Firebolt.
Calculator Databricks Throughput Queries Second 2
Calculates query throughput per second in Databricks.
Calculator Databricks Storage Overhead GB
Estimates storage overhead in Databricks (Delta).
Calculator BigQuery Omni Throughput RPS
Calculates query throughput in BigQuery Omni.
Calculator Redshift Spectrum Throughput RPS
Calculates query throughput in Redshift Spectrum.
Calculator Azure Synapse Serverless Throughput RPS
Calculates query throughput in Azure Synapse Serverless.
Calculator ClickHouse Cloud Throughput RPS
Calculates query throughput in ClickHouse Cloud.
Calculator MotherDuck Throughput RPS
Calculates query throughput in MotherDuck.
Calculator Gynecology Maternity Person Criteria Low Risk Prenatal
Assesses low risk prenatal criteria in pregnant patients.
Calculator Gynecology Maternity Person Criteria High Risk Prenatal
Assesses high risk prenatal criteria in pregnant patients.
Calculator Gynecology Maternity Person Prenatal Visits
Estimates recommended number of prenatal visits.
Calculator Gynecology Maternity Person Ultrasound Prenatal 12w
Calculates parameters for the 12 week prenatal ultrasound.
Calculator Gynecology Maternity Person Ultrasound Prenatal 20w
Calculates parameters for the 20 week morphological ultrasound.
Calculator Gynecology Maternity Person Ultrasound Prenatal 32w
Calculates parameters for the 32 week prenatal ultrasound.
Calculator Gynecology Maternity Person dT dTpa Prenatal
Calculates dT and dTpa vaccine doses during prenatal care.
Calculator Gynecology Maternity Person Folic Acid mg Day
Calculates daily folic acid dose during prenatal care.
Calculator Gynecology Maternity Person Iron mg Day
Calculates daily iron dose during prenatal care.
Calculator Gynecology Maternity Person Calcium mg Day
Calculates daily calcium dose during prenatal care.
Calculator Gynecology Maternity Person Vitamin D IU Day
Calculates daily vitamin D dose during prenatal care.
Calculator Gynecology Maternity Person Omega 3 mg Day
Calculates daily omega 3 dose during prenatal care.
Calculator Recipe Cochinita Pibil Yucatecan Person
Calculates Yucatecan cochinita pibil portions per person.
Calculator Recipe Papadzules Yucatecan Person
Calculates Yucatecan papadzules portions per person.
Calculator Recipe Pollo Pibil Yucatecan Person
Calculates Yucatecan pollo pibil portions per person.
Calculator Recipe Relleno Negro Yucatecan Person
Calculates Yucatecan relleno negro portions per person.
Calculator Recipe Poc Chuc Yucatecan Person
Calculates Yucatecan poc chuc portions per person.
Calculator Recipe Tacos Cochinita Yucatecan Person
Calculates Yucatecan cochinita tacos portions per person.
Calculator Recipe Puchero Yucatecan Person
Calculates Yucatecan puchero portions per person.
Calculator Recipe Frijol con Puerco Yucatecan Person
Calculates Yucatecan frijol con puerco portions per person.
Calculator Recipe Queso Relleno Yucatecan Person
Calculates Yucatecan queso relleno portions per person.
Calculator Recipe Marquesitas Yucatecan Person
Calculates Yucatecan marquesitas portions per person.
Calculator Recipe Sopa Lima Yucatecan Person
Calculates Yucatecan sopa de lima portions per person.
Calculator Recipe Xtabentun Yucatecan Drink Person
Calculates Yucatecan xtabentun drink portions per person.
Calculator Recipe Horchata Yucatecan Drink Person
Calculates Yucatecan horchata drink portions per person.
Calculator Strategy 4X Civilization 7 Time to Complete
Estimates time to complete a Civilization 7 playthrough.
Calculator Strategy 4X Humankind 2 Time
Estimates time to complete Humankind 2.
Calculator Strategy 4X Millennia 2 Time
Estimates time to complete Millennia 2.
Calculator Strategy 4X Stellaris Galactica Time
Estimates time for a Stellaris Galactica run.
Calculator Strategy 4X Endless Space 3 Time
Estimates time for an Endless Space 3 run.
Calculator Strategy 4X Galactic Civilizations IV Time
Estimates time for a Galactic Civilizations IV run.
Calculator Strategy 4X Distant Worlds 2 Time
Estimates time for a Distant Worlds 2 run.
Calculator Strategy 4X Master of Magic 2 Time
Estimates time for a Master of Magic 2 run.
Calculator Strategy 4X Age of Wonders 4 Time
Estimates time for an Age of Wonders 4 run.
Calculator Strategy 4X Amplitude Endless Legend 2 Time
Estimates time for an Endless Legend 2 run.
Calculator Strategy 4X Amplitude Endless Space 2 Time 2
Estimates time for an Endless Space 2 run.
Calculator Strategy 4X Shadow Empire Time
Estimates time for a Shadow Empire run.
Calculator Strategy 4X Falling Frontier Time
Estimates time for a Falling Frontier run.
Calculator Elasticsearch Throughput Queries per Second 2
Estimates Elasticsearch queries per second throughput.
Calculator Elasticsearch Storage Overhead Shards
Estimates Elasticsearch storage overhead from shards.
Calculator Elasticsearch Cluster Overhead MB
Estimates Elasticsearch cluster overhead in MB.
Calculator Logstash Throughput Events per Second
Estimates Logstash events per second throughput.
Calculator Logstash Filters Overhead ms
Estimates Logstash filters overhead in ms.
Calculator Kibana Throughput Queries per Second
Estimates Kibana queries per second throughput.
Calculator Beats Filebeat Throughput per Second
Estimates Filebeat throughput per second.
Calculator Beats Metricbeat Throughput per Second
Estimates Metricbeat throughput per second.
Calculator Fluentd Throughput Events per Second
Estimates Fluentd events per second throughput.
Calculator Fluent Bit Throughput Events per Second
Estimates Fluent Bit events per second throughput.
Calculator OpenSearch Throughput Queries per Second
Estimates OpenSearch queries per second throughput.
Calculator OpenSearch Cluster Overhead MB
Estimates OpenSearch cluster overhead in MB.
Calculator General Thoracic Surgery Person Recovery Time Thoracotomy
Estimates recovery time after thoracotomy.
Calculator General Thoracic Surgery Person Recovery Time VATS 2
Estimates recovery time after VATS.
Calculator General Thoracic Surgery Person Recovery Time RATS 2
Estimates recovery time after RATS.
Calculator General Thoracic Surgery Person Recovery Time Pneumonectomy
Estimates recovery time after pneumonectomy.
Calculator General Thoracic Surgery Person Recovery Time Lobectomy
Estimates recovery time after lobectomy.
Calculator General Thoracic Surgery Person Recovery Time Segmentectomy
Estimates recovery time after segmentectomy.
Calculator General Thoracic Surgery Person Recovery Time Wedge
Estimates recovery time after wedge resection.
Calculator General Thoracic Surgery Person Recovery Time Pleurodesis
Estimates recovery time after pleurodesis.
Calculator General Thoracic Surgery Person Recovery Time Mediastinotomy
Estimates recovery time after mediastinotomy.
Calculator General Thoracic Surgery Person Recovery Time Mediastinoscopy
Estimates recovery time after mediastinoscopy.
Calculator General Thoracic Surgery Person Recovery Time Tracheoplasty
Estimates recovery time after tracheoplasty.
Calculator General Thoracic Surgery Person Recovery Time Esophagectomy
Estimates recovery time after esophagectomy.
Calculator Recipe Creole Ceviche Peruvian Coast Person
Calculates Peruvian coast creole ceviche portions per person.
Calculator Recipe Tiradito Peruvian Coast Person
Calculates Peruvian coast tiradito portions per person.
Calculator Recipe Causa Limena Peruvian Coast Person
Calculates Peruvian coast causa limena portions per person.
Calculator Recipe Stuffed Potato Peruvian Coast Person
Calculates Peruvian coast stuffed potato portions per person.
Calculator Recipe Aji de Gallina Peruvian Coast Person
Calculates Peruvian coast aji de gallina portions per person.
Calculator Recipe Lomo Saltado Peruvian Coast Person
Calculates Peruvian coast lomo saltado portions per person.
Calculator Recipe Rice with Chicken Peruvian Coast Person
Calculates Peruvian coast arroz con pollo portions per person.
Calculator Recipe Pejerrey Fish Peruvian Coast Person
Calculates Peruvian coast pejerrey fish portions per person.
Calculator Recipe Seafood Rice Peruvian Coast Person
Calculates Peruvian coast arroz marinero portions per person.
Calculator Recipe Arroz Zambito Peruvian Coast Person
Calculates Peruvian coast arroz zambito portions per person.
Calculator Recipe Suspiro Limeno Peruvian Coast
Calculates Peruvian coast suspiro limeno portions per person.
Calculator Recipe Pisco Sour Peruvian Coast
Calculates Peruvian coast pisco sour portions per person.
Calculator Recipe Chicha Morada Peruvian Coast
Calculates Peruvian coast chicha morada portions per person.
Calculator Isometric RPG Baldurs Gate 1 Time
Estimates time to complete Baldurs Gate 1.
Calculator Isometric RPG Baldurs Gate 2 Time
Estimates time to complete Baldurs Gate 2.
Calculator Isometric RPG Icewind Dale Time
Estimates time to complete Icewind Dale.
Calculator Isometric RPG Planescape Torment Time
Estimates time to complete Planescape Torment.
Calculator Isometric RPG Fallout 1 Time
Estimates time to complete Fallout 1.
Calculator Isometric RPG Fallout 2 Time
Estimates time to complete Fallout 2.
Calculator Isometric RPG Arcanum Time
Estimates time to complete Arcanum.
Calculator Isometric RPG Divinity Original Sin Time
Estimates time to complete Divinity Original Sin.
Calculator Isometric RPG Divinity Original Sin 2 Time
Estimates time to complete Divinity Original Sin 2.
Calculator Isometric RPG Pillars of Eternity 1 Time
Estimates time to complete Pillars of Eternity 1.
Calculator Isometric RPG Pillars of Eternity 2 Time
Estimates time to complete Pillars of Eternity 2.
Calculator Isometric RPG Wasteland 2 Time
Estimates time to complete Wasteland 2.
Calculator Isometric RPG Wasteland 3 Time 2
Estimates time to complete Wasteland 3.
Calculator Nomad Jobs Throughput per Second
Estimates Nomad job throughput per second.
Calculator Nomad Allocations Overhead MB
Estimates Nomad allocations overhead in MB.
Calculator Nomad Batch Throughput per Second
Estimates Nomad batch job throughput per second.
Calculator Nomad System Overhead per Second
Estimates Nomad system overhead per second.
Calculator Consul Services Throughput per Second
Estimates Consul services throughput per second.
Calculator Consul Key Value Throughput per Second
Estimates Consul KV throughput per second.
Calculator Consul Watches Throughput per Second
Estimates Consul watches throughput per second.
Calculator Consul ACL Overhead ms
Estimates Consul ACL overhead in ms.
Calculator Vault Secrets Throughput per Second
Estimates Vault secrets throughput per second.
Calculator Vault Policies Overhead per Second
Estimates Vault policies overhead per second.
Calculator Packer Build Time Seconds
Estimates Packer build time in seconds.
Calculator Vagrant Provisioning Throughput Seconds
Estimates Vagrant provisioning throughput in seconds.
Calculator Dermatology Nails Person Onychomycosis Criteria
Evaluates onychomycosis criteria.
Calculator Dermatology Nails Person Onychomycosis ONSI 2
Calculates ONSI index for onychomycosis.
Calculator Dermatology Nails Person Paronychia Criteria
Evaluates paronychia criteria.
Calculator Dermatology Nails Person Onycholysis Criteria
Evaluates onycholysis criteria.
Calculator Dermatology Nails Person Psoriatic Onychopathy Criteria
Evaluates psoriatic onychopathy criteria.
Calculator Dermatology Nails Person Melanonychia Criteria
Evaluates melanonychia criteria.
Calculator Dermatology Nails Person Median Dystrophy Criteria
Evaluates median nail dystrophy criteria.
Calculator Dermatology Nails Person Yellow Nail Syndrome
Evaluates Yellow Nail Syndrome criteria.
Calculator Dermatology Nails Person Clubbing Criteria
Evaluates digital clubbing criteria.
Calculator Dermatology Nails Person Koilonychia Criteria
Evaluates koilonychia criteria.
Calculator Dermatology Nails Person Leukonychia Criteria
Evaluates leukonychia criteria.
Calculator Dermatology Nails Person Mees Lines Criteria
Evaluates Mees lines criteria.
Calculator Recipe Pachamanca Andean Sierra per Person
Calculates portions for Andean pachamanca per person.
Calculator Recipe Cuy Chactado Andean Sierra per Person
Calculates portions for Andean cuy chactado per person.
Calculator Recipe Rocoto Relleno Andean Sierra per Person
Calculates portions for Andean rocoto relleno per person.
Calculator Recipe Anticucho Corazon Andean Sierra per Person
Calculates portions for Andean anticucho de corazon per person.
Calculator Recipe Chicharron Andean Sierra per Person
Calculates portions for Andean chicharron per person.
Calculator Recipe Fried Trout Andean Sierra per Person
Calculates portions for Andean fried trout per person.
Calculator Recipe Granular Quinoa Andean Sierra per Person
Calculates portions for Andean granular quinoa per person.
Calculator Recipe Kapchi Habas Andean Sierra per Person
Calculates portions for Andean kapchi de habas per person.
Calculator Recipe Olluquito Charqui Andean Sierra per Person
Calculates portions for Andean olluquito con charqui per person.
Calculator Recipe Puca Picante Andean Sierra per Person
Calculates portions for Andean puca picante per person.
Calculator Recipe Mazamorra Morada Andean Sierra per Person
Calculates portions for Andean mazamorra morada per person.
Calculator Recipe Api Morado Andean Sierra per Person
Calculates portions for Andean api morado per person.
Calculator Recipe Chicha de Jora Andean Sierra per Person
Calculates portions for Andean chicha de jora per person.
Calculator Facial Plastic Surgery Person Rhinoplasty Criteria
Evaluates rhinoplasty criteria.
Calculator Facial Plastic Surgery Person Upper Blepharoplasty
Evaluates upper blepharoplasty criteria.
Calculator Facial Plastic Surgery Person Lower Blepharoplasty
Evaluates lower blepharoplasty criteria.
Calculator Facial Plastic Surgery Person Rhytidoplasty Criteria
Evaluates rhytidoplasty criteria.
Calculator Facial Plastic Surgery Person Otoplasty Criteria
Evaluates otoplasty criteria.
Calculator Facial Plastic Surgery Person Mentoplasty Criteria
Evaluates mentoplasty criteria.
Calculator Facial Plastic Surgery Person Buccal Fat Removal Criteria
Evaluates buccal fat removal criteria.
Calculator Facial Plastic Surgery Person Cervical Lifting Criteria
Evaluates cervical lifting criteria.
Calculator Facial Plastic Surgery Person Temporal Lifting Criteria
Evaluates temporal lifting criteria.
Calculator Facial Plastic Surgery Person Frontoplasty Criteria
Evaluates frontoplasty criteria.
Calculator Facial Plastic Surgery Person Genioplasty Criteria
Evaluates genioplasty criteria.
Calculator Facial Plastic Surgery Person Malarplasty Criteria
Evaluates malarplasty criteria.
Calculator Juane Amazonian Jungle Recipe per Person
Estimates juane portions per person.
Calculator Tacacho with Cecina Recipe per Person
Estimates tacacho with cecina portions per person.
Calculator Patarashca Amazonian Recipe per Person
Estimates patarashca portions per person.
Calculator Inchicapi Amazonian Recipe per Person
Estimates inchicapi portions per person.
Calculator Paiche Amazonian Recipe per Person
Estimates paiche portions per person.
Calculator Fried Doncella Amazonian Recipe per Person
Estimates fried doncella portions per person.
Calculator Fried Suri Amazonian Recipe per Person
Estimates fried suri portions per person.
Calculator Cazuela de Monte Amazonian Recipe per Person
Estimates cazuela de monte portions per person.
Calculator Timbuche Amazonian Recipe per Person
Estimates timbuche portions per person.
Calculator Amazonian Chaufa Rice Recipe
Estimates Amazonian chaufa rice portions per person.
Calculator Aguajina Amazonian Drink Recipe
Estimates aguajina drink portions.
Calculator Masato Amazonian Recipe
Estimates masato portions.
Calculator Camu Camu Drink Recipe
Estimates camu camu refresco portions.
Calculator Orthopedics Knee Person ACL Criteria
Evaluates ACL injury criteria.
Calculator Orthopedics Knee Person PCL Criteria
Evaluates PCL injury criteria.
Calculator Orthopedics Knee Person MCL Criteria
Evaluates MCL injury criteria.
Calculator Orthopedics Knee Person LCL Criteria
Evaluates LCL injury criteria.
Calculator Orthopedics Knee Person Medial Meniscus Criteria
Evaluates medial meniscus injury criteria.
Calculator Orthopedics Knee Person Lateral Meniscus Criteria
Evaluates lateral meniscus injury criteria.
Calculator Orthopedics Knee Person Patellar Chondromalacia Criteria
Evaluates patellar chondromalacia criteria.
Calculator Orthopedics Knee Person Osteoarthritis Criteria
Evaluates knee osteoarthritis criteria.
Calculator Orthopedics Knee Person Prepatellar Bursitis Criteria
Evaluates prepatellar bursitis criteria.
Calculator Orthopedics Knee Person Quadriceps Tendinopathy Criteria
Evaluates quadriceps tendinopathy criteria.
Calculator Orthopedics Knee Person Osgood Schlatter Criteria
Evaluates Osgood Schlatter criteria.
Calculator Orthopedics Knee Person Sinding Larsen Johansson Criteria
Evaluates Sinding Larsen Johansson criteria.
Saltena Bolivian Altiplano Recipe Calculator Per Person
Calculates saltena ingredients per person.
Silpancho Bolivian Altiplano Recipe Calculator Per Person
Calculates silpancho ingredients per person.
Pique Macho Bolivian Altiplano Recipe Calculator Per Person
Calculates pique macho ingredients per person.
Anticucho Corazon Bolivian Altiplano Recipe Calculator Per Person
Calculates heart anticucho ingredients per person.
Fricase Paceno Bolivian Altiplano Recipe Calculator Per Person
Calculates paceno fricase ingredients per person.
Thimpu Llama Bolivian Altiplano Recipe Calculator Per Person
Calculates llama thimpu ingredients per person.
Charque Llama Bolivian Altiplano Recipe Calculator Per Person
Calculates llama charque ingredients per person.
Chairo Bolivian Altiplano Recipe Calculator Per Person
Calculates chairo ingredients per person.
Mani Soup Bolivian Altiplano Recipe Calculator Per Person
Calculates peanut soup ingredients per person.
Mondongo Bolivian Altiplano Recipe Calculator Per Person
Calculates mondongo ingredients per person.
Saice Tarijeno Bolivian Altiplano Recipe Calculator Per Person
Calculates saice tarijeno ingredients per person.
Api Pasankalla Bolivian Altiplano Recipe Calculator
Calculates api with pasankalla ingredients per serving.
Singani Bolivian Altiplano Recipe Calculator
Calculates singani cocktail servings.
Orthopedics Hip Person Osteoarthritis Criteria Calculator
Evaluates hip osteoarthritis criteria.
Orthopedics Hip Person Dysplasia Criteria Calculator
Evaluates hip dysplasia criteria.
Orthopedics Hip Person Femoroacetabular Impingement Criteria Calculator
Evaluates femoroacetabular impingement criteria.
Orthopedics Hip Person Gluteus Medius Tendinopathy Criteria Calculator
Evaluates gluteus medius tendinopathy criteria.
Orthopedics Hip Person Trochanteric Bursitis Criteria Calculator
Evaluates trochanteric bursitis criteria.
Orthopedics Hip Person Femoral Neck Fracture Criteria Calculator
Evaluates femoral neck fracture criteria.
Orthopedics Hip Person Pertrochanteric Fracture Criteria Calculator
Evaluates pertrochanteric fracture criteria.
Orthopedics Hip Person Subtrochanteric Fracture Criteria Calculator
Evaluates subtrochanteric fracture criteria.
Orthopedics Hip Person Dislocation Criteria Calculator
Evaluates hip dislocation criteria.
Orthopedics Hip Person Perthes Criteria Calculator
Evaluates Legg Calve Perthes criteria.
Orthopedics Hip Person Slipped Capital Epiphysis Criteria Calculator
Evaluates slipped capital femoral epiphysis criteria.
Orthopedics Hip Person Total Hip Arthroplasty Criteria Calculator
Evaluates total hip arthroplasty criteria.
Bolivian Valle Trancapecho Recipe Per Person Calculator
Calculates ingredients for Cochabamba trancapecho sandwich with steak rice and egg per person.
Bolivian Valle Cochabamba Chicharron Recipe Per Person Calculator
Calculates ingredients for Cochabamba pork chicharron with mote per person.
Bolivian Valle Laping Recipe Per Person Calculator
Calculates ingredients for laping chopped beef with potato and egg per person.
Bolivian Valle Falso Conejo Recipe Per Person Calculator
Calculates ingredients for falso conejo breaded steak in sauce with potato and rice per person.
Bolivian Valle Pampaku Recipe Per Person Calculator
Calculates ingredients for pampaku lamb roasted in earth oven per person.
Bolivian Valle Cochabamba Puchero Recipe Per Person Calculator
Calculates ingredients for Cochabamba puchero meat and vegetable stew per person.
Bolivian Valle Quilltinchu Recipe Per Person Calculator
Calculates ingredients for quilltinchu quinoa soup with meat per person.
Bolivian Valle Sauteed Partridge Recipe Per Person Calculator
Calculates ingredients for sauteed partridge with potatoes and onion per person.
Bolivian Valle Ranga Ranga Recipe Per Person Calculator
Calculates ingredients for ranga ranga cooked tripe with potato and onion per person.
Bolivian Valle Jakhonta Recipe Per Person Calculator
Calculates ingredients for jakhonta meat stew with herbs and potato per person.
Bolivian Valle Uchu Jaku Recipe Per Person Calculator
Calculates ingredients for uchu jaku Quechua spicy soup with locoto per person.
Bolivian Valle Mocochinche Recipe Calculator
Calculates ingredients for mocochinche dried peach drink with cinnamon per serving.
Bolivian Valle Tutuma Drink Recipe Calculator
Calculates ingredients for tutuma Andean chicha served in gourd per serving.
Orthopedics Shoulder Person Rotator Cuff Criteria Calculator
Evaluates rotator cuff tear clinical criteria of shoulder per person.
Orthopedics Shoulder Person Supraspinatus Criteria Calculator
Evaluates supraspinatus tendon tear clinical criteria per person.
Orthopedics Shoulder Person Infraspinatus Criteria Calculator
Evaluates infraspinatus tendon tear clinical criteria per person.
Orthopedics Shoulder Person Subscapularis Criteria Calculator
Evaluates subscapularis tendon tear clinical criteria per person.
Orthopedics Shoulder Person Teres Minor Criteria Calculator
Evaluates teres minor tendon tear clinical criteria per person.
Orthopedics Shoulder Person Biceps Tendinopathy Criteria Calculator
Evaluates biceps long head tendinopathy clinical criteria per person.
Orthopedics Shoulder Person Adhesive Capsulitis Criteria Calculator
Evaluates adhesive capsulitis frozen shoulder clinical criteria per person.
Orthopedics Shoulder Person Anterior Dislocation Criteria Calculator
Evaluates anterior shoulder dislocation clinical criteria per person.
Orthopedics Shoulder Person Posterior Dislocation Criteria Calculator
Evaluates posterior shoulder dislocation clinical criteria per person.
Orthopedics Shoulder Person SLAP Tear Criteria Calculator
Evaluates SLAP superior labral tear clinical criteria per person.
Orthopedics Shoulder Person Bankart Lesion Criteria Calculator
Evaluates Bankart anteroinferior labrum lesion clinical criteria per person.
Orthopedics Shoulder Person Hill Sachs Lesion Criteria Calculator
Evaluates Hill Sachs posterior humerus lesion clinical criteria per person.
Eastern Bolivian Majadito Recipe Per Person Calculator
Calculates majadito charque rice eastern Bolivian ingredients per person.
Eastern Bolivian Locro Camba Recipe Per Person Calculator
Calculates locro camba eastern Bolivian soup ingredients per person.
Eastern Bolivian Keperi Recipe Per Person Calculator
Calculates keperi smoked beef camba ingredients per person.
Eastern Bolivian Pacumutu Recipe Per Person Calculator
Calculates pacumutu camba skewer eastern Bolivian ingredients per person.
Eastern Bolivian Cunape Recipe Per Person Calculator
Calculates cunape cheese bread camba ingredients per person.
Eastern Bolivian Zonzo Recipe Per Person Calculator
Calculates zonzo cassava cheese camba ingredients per person.
Eastern Bolivian Yuca Frita Camba Recipe Per Person Calculator
Calculates fried cassava camba eastern Bolivian ingredients per person.
Eastern Bolivian Tipakas Recipe Per Person Calculator
Calculates tipakas camba toasted ingredients per person.
Eastern Bolivian Rice with Plantain Recipe Per Person Calculator
Calculates rice with plantain camba eastern Bolivian ingredients per person.
Eastern Bolivian Peanut Soup Recipe Per Person Calculator
Calculates peanut soup camba eastern Bolivian ingredients per person.
Eastern Bolivian Mocochinche Recipe Per Person Calculator
Calculates mocochinche dried peach drink camba ingredients per person.
Eastern Bolivian Mate Cocido Recipe Per Person Calculator
Calculates mate cocido camba eastern Bolivian ingredients per person.
Eastern Bolivian Chicha Camba Recipe Per Person Calculator
Calculates chicha camba eastern Bolivian beverage ingredients per person.
Orthopedics Spine Person Cervical Disc Herniation Criteria Calculator
Evaluates cervical disc herniation clinical criteria per person.
Orthopedics Spine Person Lumbar Disc Herniation Criteria Calculator
Evaluates lumbar disc herniation clinical criteria per person.
Orthopedics Spine Person Cervicalgia Criteria Calculator
Evaluates cervicalgia neck pain clinical criteria per person.
Orthopedics Spine Person Low Back Pain Criteria Calculator
Evaluates low back pain lombalgia clinical criteria per person.
Orthopedics Spine Person Sciatica Criteria Calculator
Evaluates sciatica ciatalgia clinical criteria per person.
Orthopedics Spine Person Spondylolisthesis Criteria Calculator
Evaluates spondylolisthesis clinical criteria per person.
Orthopedics Spine Person Spondylosis Criteria Calculator
Evaluates spondylosis clinical criteria per person.
Orthopedics Spine Person Spinal Stenosis Criteria Calculator
Evaluates lumbar spinal stenosis clinical criteria per person.
Orthopedics Spine Person Scoliosis Criteria Calculator
Evaluates scoliosis clinical criteria per person.
Orthopedics Spine Person Kyphosis Criteria Calculator
Evaluates kyphosis clinical criteria per person.
Orthopedics Spine Person Hyperlordosis Criteria Calculator
Evaluates hyperlordosis clinical criteria per person.
Orthopedics Spine Person Piriformis Syndrome Criteria Calculator
Evaluates piriformis syndrome clinical criteria per person.
Sopa Paraguaya Paraguayan Recipe Per Person Calculator
Calculates sopa paraguaya cornbread Paraguayan recipe ingredients per person.
Chipa Almidon Paraguayan Recipe Per Person Calculator
Calculates chipa almidon Paraguayan cassava starch bread per person.
Chipa Guazu Paraguayan Recipe Per Person Calculator
Calculates chipa guazu Paraguayan corn pie per person.
Mbeju Paraguayan Recipe Per Person Calculator
Calculates mbeju Paraguayan cassava cheese flatbread per person.
Pajagua Mascada Paraguayan Recipe Per Person Calculator
Calculates pajagua mascada Paraguayan cassava patty per person.
Vori Vori Paraguayan Recipe Per Person Calculator
Calculates vori vori Paraguayan corn dumpling soup per person.
Bori Bori Paraguayan Recipe Per Person Calculator
Calculates bori bori Paraguayan chicken corn dumpling soup per person.
Pira Caldo Paraguayan Recipe Per Person Calculator
Calculates pira caldo Paraguayan fish soup per person.
Soyo Paraguayan Recipe Per Person Calculator
Calculates soyo Paraguayan ground beef soup per person.
Puchero Paraguayo Paraguayan Recipe Per Person Calculator
Calculates puchero paraguayo Paraguayan beef stew per person.
Mandioca Frita Paraguayan Recipe Per Person Calculator
Calculates Paraguayan style fried cassava per person.
Terere Paraguayan Recipe Calculator
Calculates terere Paraguayan cold yerba mate beverage per person.
Cocido Paraguayo Paraguayan Recipe Calculator
Calculates cocido paraguayo Paraguayan burnt yerba mate tea per person.
Orthopedics Ankle Person Sprain Criteria Calculator
Evaluates ankle sprain clinical criteria per person.
Orthopedics Foot Person Plantar Fasciitis Criteria Calculator
Evaluates plantar fasciitis clinical criteria per person.
Orthopedics Foot Person Heel Spur Criteria Calculator
Evaluates heel calcaneal spur clinical criteria per person.
Orthopedics Ankle Person Achilles Tendinopathy Criteria Calculator
Evaluates Achilles tendinopathy clinical criteria per person.
Orthopedics Ankle Person Haglund Deformity Criteria Calculator
Evaluates Haglund deformity clinical criteria per person.
Orthopedics Ankle Person Ankle Fracture Criteria Calculator
Evaluates ankle fracture clinical criteria per person.
Orthopedics Foot Person Hallux Valgus Criteria Calculator
Evaluates hallux valgus bunion clinical criteria per person.
Orthopedics Foot Person Metatarsalgia Criteria Calculator
Evaluates metatarsalgia clinical criteria per person.
Orthopedics Foot Person Morton Neuroma Criteria Calculator
Evaluates Morton neuroma clinical criteria per person.
Orthopedics Foot Person Flat Foot Criteria Calculator
Evaluates flat foot clinical criteria per person.
Orthopedics Foot Person Cavus Foot Criteria Calculator
Evaluates cavus foot clinical criteria per person.
Orthopedics Foot Person Tibialis Posterior Tendinopathy Criteria Calculator
Evaluates tibialis posterior tendinopathy clinical criteria per person.
Calculator Recipe Chivito Uruguayan Person
Calculates uruguayan chivito sandwich ingredients per person.
Calculator Recipe Asado Uruguayan Person
Calculates uruguayan asado barbecue ingredients per person.
Calculator Recipe Puchero Uruguayan Person
Calculates uruguayan puchero stew ingredients per person.
Calculator Recipe Milanesa Napolitana Uruguayan Person
Calculates uruguayan milanesa napolitana ingredients per person.
Calculator Recipe Pamplona Uruguayan Person
Calculates uruguayan pamplona stuffed poultry ingredients per person.
Calculator Recipe Buseca Uruguayan Person
Calculates uruguayan buseca tripe soup ingredients per person.
Calculator Recipe Mondongo Uruguayan Person
Calculates uruguayan mondongo tripe stew ingredients per person.
Calculator Recipe Empanada Uruguayan Person
Calculates uruguayan empanada ingredients per person.
Calculator Recipe Chaja Uruguayan Dessert
Calculates uruguayan chaja dessert ingredients per person.
Calculator Recipe Martin Fierro Uruguayan
Calculates uruguayan martin fierro cheese and quince ingredients per person.
Calculator Recipe Medio Medio Uruguayan
Calculates uruguayan medio medio drink ingredients per person.
Calculator Recipe Clerico Uruguayan
Calculates uruguayan clerico sangria ingredients per person.
Calculator Recipe Mate Uruguayan
Calculates uruguayan mate drink ingredients per person.
Calculator Onco GI Esophageal Cancer Criteria
Evaluates esophageal cancer clinical criteria per person.
Calculator Onco GI Gastric Cancer Criteria
Evaluates gastric cancer clinical criteria per person.
Calculator Onco GI Duodenal Cancer Criteria
Evaluates duodenal cancer clinical criteria per person.
Calculator Onco GI Jejunal Cancer Criteria
Evaluates jejunal cancer clinical criteria per person.
Calculator Onco GI Ileal Cancer Criteria
Evaluates ileal cancer clinical criteria per person.
Calculator Onco GI Cecal Cancer Criteria
Evaluates cecal cancer clinical criteria per person.
Calculator Onco GI Ascending Colon Cancer Criteria
Evaluates ascending colon cancer clinical criteria per person.
Calculator Onco GI Transverse Colon Cancer Criteria
Evaluates transverse colon cancer clinical criteria per person.
Calculator Onco GI Descending Colon Cancer Criteria
Evaluates descending colon cancer clinical criteria per person.
Calculator Onco GI Sigmoid Cancer Criteria
Evaluates sigmoid colon cancer clinical criteria per person.
Calculator Onco GI Rectal Cancer Criteria
Evaluates rectal cancer clinical criteria per person.
Calculator Onco GI Anal Cancer Criteria
Evaluates anal cancer clinical criteria per person.
Calculator Recipe Pastel Choclo Central Chile Person
Calculates central chilean pastel de choclo ingredients per person.
Calculator Recipe Empanadas Pino Central Chile Person
Calculates central chilean empanadas de pino ingredients per person.
Calculator Recipe Cazuela Beef Central Chile Person
Calculates central chilean beef cazuela ingredients per person.
Calculator Recipe Cazuela Chicken Central Chile Person
Calculates central chilean chicken cazuela ingredients per person.
Calculator Recipe Porotos Granados Central Chile Person
Calculates central chilean porotos granados ingredients per person.
Calculator Recipe Charquican Central Chile Person
Calculates central chilean charquican ingredients per person.
Calculator Recipe Humita Central Chile Person
Calculates central chilean humita ingredients per person.
Calculator Recipe Ensalada Chilena Central Chile Person
Calculates central chilean salad ingredients per person.
Calculator Recipe Completo Italiano Central Chile Person
Calculates central chilean completo italiano hot dog ingredients per person.
Calculator Recipe Curanto Olla Central Chile Person
Calculates central chilean curanto en olla ingredients per person.
Calculator Recipe Mote Huesillo Central Chile
Calculates central chilean mote con huesillo ingredients per serving.
Calculator Recipe Chicha Central Chile
Calculates central chilean chicha ingredients per serving.
Calculator Recipe Pisco Chileno Central Chile
Calculates central chilean pisco sour ingredients per serving.
Calculator Onco Thorax Small Cell Lung Cancer Criteria
Evaluates small cell lung cancer clinical criteria per person.
Calculator Onco Thorax Non Small Cell Lung Cancer Criteria
Evaluates non small cell lung cancer clinical criteria per person.
Calculator Onco Thorax Mesothelioma Criteria
Evaluates mesothelioma clinical criteria per person.
Calculator Onco Thorax Thymoma Criteria
Evaluates thymoma clinical criteria per person.
Calculator Onco Thorax Bronchopulmonary Carcinoid Criteria
Evaluates bronchopulmonary carcinoid clinical criteria per person.
Calculator Onco Thorax Anterior Mediastinal Tumor Criteria
Evaluates anterior mediastinal tumor clinical criteria per person.
Calculator Onco Thorax Middle Mediastinal Tumor Criteria
Evaluates middle mediastinal tumor clinical criteria per person.
Calculator Onco Thorax Posterior Mediastinal Tumor Criteria
Evaluates posterior mediastinal tumor clinical criteria per person.
Calculator Onco Thorax Malignant Pleural Effusion Criteria
Evaluates malignant pleural effusion clinical criteria per person.
Calculator Onco Thorax Pancoast Tumor Criteria
Evaluates Pancoast tumor clinical criteria per person.
Calculator Onco Thorax Pulmonary Metastasis Criteria
Evaluates pulmonary metastasis clinical criteria per person.
Calculator Onco Thorax Tracheal Cancer Criteria
Evaluates tracheal cancer clinical criteria per person.
Calculator Pulmay Recipe Northern Chilean Per Person
Calculates pulmay recipe portions per person.
Calculator Shrimp Empanada Recipe Northern Chilean Per Person
Calculates shrimp empanada portions per person.
Calculator Tomatican Recipe Northern Chilean Per Person
Calculates tomatican portions per person.
Calculator Calapurca Recipe Northern Chilean Per Person
Calculates calapurca portions per person.
Calculator Pichanga Recipe Northern Chilean Per Person
Calculates pichanga portions per person.
Calculator Pebre Recipe Northern Chilean Per Person
Calculates pebre portions per person.
Calculator Mariscal Recipe Northern Chilean Per Person
Calculates mariscal portions per person.
Calculator Paila Marina Recipe Northern Chilean Per Person
Calculates paila marina portions per person.
Calculator Machas Parmesana Recipe Northern Chilean Per Person
Calculates machas parmesana portions per person.
Calculator Fried Conger Recipe Northern Chilean Per Person
Calculates fried conger portions per person.
Calculator Leche Coco Recipe Northern Chilean
Calculates leche coco portions per person.
Calculator Pisco Altiplano Recipe Northern Chilean
Calculates pisco altiplano portions per person.
Calculator Mango Sour Recipe Northern Chilean
Calculates mango sour portions per person.
Calculator Onco Uro Prostate Cancer Criteria
Evaluates prostate cancer clinical criteria per person.
Calculator Onco Uro Bladder Cancer Criteria
Evaluates bladder cancer clinical criteria per person.
Calculator Onco Uro Kidney Cancer Criteria
Evaluates kidney cancer clinical criteria per person.
Calculator Onco Uro Renal Pelvis Cancer Criteria
Evaluates renal pelvis cancer clinical criteria per person.
Calculator Onco Uro Ureter Cancer Criteria
Evaluates ureter cancer clinical criteria per person.
Calculator Onco Uro Testicular Cancer Criteria
Evaluates testicular cancer clinical criteria per person.
Calculator Onco Uro Penile Cancer Criteria
Evaluates penile cancer clinical criteria per person.
Calculator Onco Uro Urethral Cancer Criteria
Evaluates urethral cancer clinical criteria per person.
Calculator Onco Uro Wilms Tumor Criteria
Evaluates Wilms tumor clinical criteria per person.
Calculator Onco Uro Pheochromocytoma Criteria
Evaluates pheochromocytoma clinical criteria per person.
Calculator Onco Uro Adrenocortical Tumor Criteria
Evaluates adrenocortical tumor clinical criteria per person.
Calculator Onco Uro Paraganglioma Criteria
Evaluates paraganglioma clinical criteria per person.
Calculator Curanto en Hoyo Chilean South Recipe Per Person
Calculates curanto en hoyo (Chilote pit cooking) Chilean south recipe portions per person.
Calculator Cancato Chilean South Recipe Per Person
Calculates cancato (salmon with cheese) Chilean south recipe portions per person.
Calculator Milcao Chilean South Recipe Per Person
Calculates milcao (Chilote potato cake) Chilean south recipe portions per person.
Calculator Chapaleles Chilean South Recipe Per Person
Calculates chapaleles (Chilote potato dumplings) Chilean south recipe portions per person.
Calculator Calbuco Mussels Chilean South Recipe Per Person
Calculates Calbuco mussels Chilean south recipe portions per person.
Calculator Curanto Seafood Chilean South Recipe Per Person
Calculates curanto a la olla with seafood Chilean south recipe portions per person.
Calculator Castro Lamb Chilean South Recipe Per Person
Calculates Castro lamb on spit Chilean south recipe portions per person.
Calculator Chilote Roscas Chilean South Recipe Per Person
Calculates Chilote roscas (braided bread) Chilean south recipe portions per person.
Calculator Loco con Mayo Chilean South Recipe Per Person
Calculates loco (abalone) with mayonnaise Chilean south recipe portions per person.
Calculator Piure and Sea Urchin Chilean South Recipe Per Person
Calculates piure and sea urchin Chilean south recipe portions per person.
Calculator Licor de Oro Chilean South Recipe
Calculates licor de oro (Chilote liqueur) Chilean south recipe portions per person.
Calculator Licor de Cedron Chilean South Recipe
Calculates licor de cedron (lemon verbena) Chilean south recipe portions per person.
Calculator Chicha de Manzana Chilean South Recipe
Calculates chicha de manzana (apple cider) Chilean south recipe portions per person.
Calculator Onco Gyneco Breast Cancer Criteria
Evaluates breast cancer clinical criteria per person.
Calculator Onco Gyneco Breast Cancer Luminal A Criteria
Evaluates breast cancer luminal A clinical criteria per person.
Calculator Onco Gyneco Breast Cancer Luminal B Criteria
Evaluates breast cancer luminal B clinical criteria per person.
Calculator Onco Gyneco Breast Cancer HER2 Positive Criteria
Evaluates breast cancer HER2 positive clinical criteria per person.
Calculator Onco Gyneco Breast Cancer Triple Negative Criteria
Evaluates breast cancer triple negative clinical criteria per person.
Calculator Onco Gyneco Cervical Cancer Criteria
Evaluates cervical cancer clinical criteria per person.
Calculator Onco Gyneco Endometrial Cancer Criteria
Evaluates endometrial cancer clinical criteria per person.
Calculator Onco Gyneco Ovarian Cancer Criteria
Evaluates ovarian cancer clinical criteria per person.
Calculator Onco Gyneco Fallopian Tube Cancer Criteria
Evaluates fallopian tube cancer clinical criteria per person.
Calculator Onco Gyneco Vaginal Cancer Criteria
Evaluates vaginal cancer clinical criteria per person.
Calculator Onco Gyneco Vulvar Cancer Criteria
Evaluates vulvar cancer clinical criteria per person.
Calculator Onco Gyneco Gestational Trophoblastic Disease Criteria
Evaluates gestational trophoblastic disease clinical criteria per person.
Calculator Recipe Bandeja Paisa Colombian Caribbean Per Person
Computes Colombian Caribbean bandeja paisa portions per person.
Calculator Recipe Three Meats Sancocho Colombian Caribbean Per Person
Computes Caribbean three-meats sancocho portions per person.
Calculator Recipe Seafood Stew Colombian Caribbean Per Person
Computes Caribbean seafood stew portions per person.
Calculator Recipe Coconut Rice Colombian Caribbean Per Person
Computes Caribbean coconut rice portions per person.
Calculator Recipe Mote de Queso Colombian Caribbean Per Person
Computes Caribbean mote de queso portions per person.
Calculator Recipe Arepa de Huevo Colombian Caribbean Per Person
Computes Caribbean arepa de huevo portions per person.
Calculator Recipe Arepa de Queso Colombian Caribbean Per Person
Computes Caribbean arepa de queso portions per person.
Calculator Recipe Suero Costeno Colombian Caribbean Per Person
Computes suero costeno (sour cream) portions per person.
Calculator Recipe Fried Bocachico Colombian Caribbean Per Person
Computes Caribbean fried bocachico portions per person.
Calculator Recipe Fried Mojarra Colombian Caribbean Per Person
Computes Caribbean fried mojarra portions per person.
Calculator Recipe White Cocada Colombian Caribbean
Computes Caribbean white cocada batch proportions.
Calculator Recipe Aguardiente Colombian Caribbean
Computes Colombian Caribbean aguardiente batch proportions.
Calculator Recipe Ron Colombian Caribbean
Computes Colombian Caribbean ron batch proportions.
Calculator Onco Head and Neck Larynx Cancer Criteria
Evaluates larynx cancer clinical criteria per person.
Calculator Onco Head and Neck Pharynx Cancer Criteria
Evaluates pharynx cancer clinical criteria per person.
Calculator Onco Head and Neck Oropharynx Cancer Criteria
Evaluates oropharynx cancer clinical criteria per person.
Calculator Onco Head and Neck Hypopharynx Cancer Criteria
Evaluates hypopharynx cancer clinical criteria per person.
Calculator Onco Head and Neck Nasopharynx Cancer Criteria
Evaluates nasopharynx cancer clinical criteria per person.
Calculator Onco Head and Neck Oral Cavity Cancer Criteria
Evaluates oral cavity cancer clinical criteria per person.
Calculator Onco Head and Neck Tongue Cancer Criteria
Evaluates tongue cancer clinical criteria per person.
Calculator Onco Head and Neck Lip Cancer Criteria
Evaluates lip cancer clinical criteria per person.
Calculator Onco Head and Neck Salivary Gland Cancer Criteria
Evaluates salivary gland cancer clinical criteria per person.
Calculator Onco Head and Neck Thyroid Cancer Criteria
Evaluates thyroid cancer clinical criteria per person.
Calculator Onco Head and Neck Parathyroid Cancer Criteria
Evaluates parathyroid cancer clinical criteria per person.
Calculator Onco Head and Neck Paranasal Sinus Cancer Criteria
Evaluates paranasal sinus cancer clinical criteria per person.
Calculator Recipe Bogota Ajiaco Andean Colombian per Person
Calculates ingredients for Bogota ajiaco per person.
Calculator Recipe Tolimense Tamales Andean Colombian per Person
Calculates ingredients for Tolima tamales per person.
Calculator Recipe Cundiboyacense Tamales Andean Colombian per Person
Calculates ingredients for Cundiboyaca tamales per person.
Calculator Recipe Changua Andean Colombian per Person
Calculates Colombian changua ingredients per person.
Calculator Recipe Paisa Arepa Andean Colombian per Person
Calculates Paisa arepa ingredients per person.
Calculator Recipe Santander Mute Andean Colombian per Person
Calculates Santander mute ingredients per person.
Calculator Recipe Wheat Cuchuco Andean Colombian per Person
Calculates wheat cuchuco ingredients per person.
Calculator Recipe Paisa Mazamorra Andean Colombian per Person
Calculates Paisa mazamorra ingredients per person.
Calculator Recipe Mondongo Soup Andean Colombian per Person
Calculates mondongo soup ingredients per person.
Calculator Recipe Santander Kid Goat Andean Colombian per Person
Calculates Santander kid goat ingredients per person.
Calculator Recipe Natas Dessert Andean Colombian
Calculates natas dessert ingredients.
Calculator Recipe Santafereno Chocolate Andean Colombian
Calculates Santafereno chocolate ingredients.
Calculator Recipe Canelazo Andean Colombian
Calculates Colombian canelazo ingredients.
Calculator Onco Pediatrics Acute Lymphoblastic Leukemia Criteria
Evaluates pediatric ALL clinical criteria per person.
Calculator Onco Pediatrics Acute Myeloid Leukemia Criteria
Evaluates pediatric AML clinical criteria per person.
Calculator Onco Pediatrics Neuroblastoma Criteria
Evaluates neuroblastoma clinical criteria per person.
Calculator Onco Pediatrics Wilms Tumor Pediatrics Criteria
Evaluates pediatric Wilms tumor criteria per person.
Calculator Onco Pediatrics Retinoblastoma Criteria
Evaluates retinoblastoma clinical criteria per person.
Calculator Onco Pediatrics Medulloblastoma Criteria
Evaluates medulloblastoma clinical criteria per person.
Calculator Onco Pediatrics Ependymoma Criteria
Evaluates pediatric ependymoma clinical criteria per person.
Calculator Onco Pediatrics Osteosarcoma Criteria
Evaluates pediatric osteosarcoma clinical criteria per person.
Calculator Onco Pediatrics Ewing Sarcoma Criteria
Evaluates pediatric Ewing sarcoma clinical criteria per person.
Calculator Onco Pediatrics Rhabdomyosarcoma Criteria
Evaluates pediatric rhabdomyosarcoma clinical criteria per person.
Calculator Onco Pediatrics Hodgkin Lymphoma Criteria
Evaluates pediatric Hodgkin lymphoma clinical criteria per person.
Calculator Onco Pediatrics Non Hodgkin Lymphoma Criteria
Evaluates pediatric NHL clinical criteria per person.
Calculator Recipe Fish Encocado Pacific Colombian per Person
Calculates ingredients for Pacific fish encocado per person.
Calculator Recipe Shrimp Encocado Pacific Colombian per Person
Calculates ingredients for Pacific shrimp encocado per person.
Calculator Recipe Tapao Pacific Colombian per Person
Calculates ingredients for Pacific tapao per person.
Calculator Recipe Arroz Clavado Pacific Colombian per Person
Calculates ingredients for Pacific arroz clavado per person.
Calculator Recipe Arroz Atollado Pacific Colombian per Person
Calculates ingredients for Pacific arroz atollado per person.
Calculator Recipe Piangua Tapao Pacific Colombian per Person
Calculates ingredients for Pacific piangua tapao per person.
Calculator Recipe Crab Cazuela Pacific Colombian per Person
Calculates ingredients for Pacific crab cazuela per person.
Calculator Recipe Fish Sudado Pacific Colombian per Person
Calculates ingredients for Pacific fish sudado per person.
Calculator Recipe Pusandao Pacific Colombian per Person
Calculates ingredients for Pacific pusandao per person.
Calculator Recipe Fish Sudado with Piangua Pacific Colombian per Person
Calculates ingredients for fish sudado with piangua per person.
Calculator Recipe Chontaduro Pacific Colombian
Calculates Pacific chontaduro servings.
Calculator Recipe Viche Pacific Colombian
Calculates Pacific viche servings.
Calculator Recipe Borojo Juice Pacific Colombian
Calculates Pacific borojo juice servings.
Calculator AWS EC2 Monthly Cost per Person
Estimates monthly AWS EC2 cost per person.
Calculator AWS S3 Monthly Cost per Person
Estimates monthly AWS S3 cost per person.
Calculator AWS RDS Monthly Cost per Person
Estimates monthly AWS RDS cost per person.
Calculator Azure VM Monthly Cost per Person
Estimates monthly Azure VM cost per person.
Calculator Azure Blob Storage Monthly Cost per Person
Estimates monthly Azure Blob Storage cost per person.
Calculator Azure SQL Monthly Cost per Person
Estimates monthly Azure SQL cost per person.
Calculator GCP Compute Engine Monthly Cost per Person
Estimates monthly GCP Compute Engine cost per person.
Calculator GCP Cloud Storage Monthly Cost per Person
Estimates monthly GCP Cloud Storage cost per person.
Calculator GCP Cloud SQL Monthly Cost per Person
Estimates monthly GCP Cloud SQL cost per person.
Calculator DigitalOcean Droplet Monthly Cost per Person
Estimates monthly DigitalOcean Droplet cost per person.
Calculator Hetzner Cloud Monthly Cost per Person
Estimates monthly Hetzner Cloud cost per person.
Calculator Linode Akamai Monthly Cost per Person
Estimates monthly Linode Akamai cost per person.
Calculator Onco Hematology Chronic Myeloid Leukemia Criteria
Evaluates CML clinical criteria per person.
Calculator Onco Hematology Chronic Lymphocytic Leukemia Criteria
Evaluates CLL clinical criteria per person.
Calculator Onco Hematology Multiple Myeloma Criteria
Evaluates multiple myeloma clinical criteria per person.
Calculator Onco Hematology Adult Hodgkin Lymphoma Criteria
Evaluates adult Hodgkin lymphoma clinical criteria per person.
Calculator Onco Hematology Adult Non Hodgkin Lymphoma Criteria
Evaluates adult NHL clinical criteria per person.
Calculator Onco Hematology Follicular Lymphoma Criteria
Evaluates follicular lymphoma clinical criteria per person.
Calculator Onco Hematology Diffuse Large B Cell Lymphoma Criteria
Evaluates DLBCL clinical criteria per person.
Calculator Onco Hematology Marginal Zone Lymphoma Criteria
Evaluates marginal zone lymphoma clinical criteria per person.
Calculator Onco Hematology Burkitt Lymphoma Criteria
Evaluates Burkitt lymphoma clinical criteria per person.
Calculator Onco Hematology Myelofibrosis Criteria
Evaluates myelofibrosis clinical criteria per person.
Calculator Onco Hematology Polycythemia Vera Criteria
Evaluates polycythemia vera clinical criteria per person.
Calculator Onco Hematology Essential Thrombocythemia Criteria
Evaluates essential thrombocythemia clinical criteria per person.
Recipe Calculator Pabellon Criollo Llanera Venezuelan per Person
Calculates pabellon criollo portions per person.
Recipe Calculator Asado Negro Llanera Venezuelan per Person
Calculates asado negro portions per person.
Recipe Calculator Mondongo Llanero Llanera Venezuelan per Person
Calculates mondongo llanero portions per person.
Recipe Calculator Pisillo de Chiguire Llanera Venezuelan per Person
Calculates pisillo de chiguire (capybara) portions per person.
Recipe Calculator Pisillo de Venado Llanera Venezuelan per Person
Calculates pisillo de venado (venison) portions per person.
Recipe Calculator Cachapa with Queso de Mano Llanera Venezuelan per Person
Calculates cachapa with queso de mano portions per person.
Recipe Calculator Hallaca Llanera Venezuelan per Person
Calculates hallaca llanera portions per person.
Recipe Calculator Pernil Horneado Llanera Venezuelan per Person
Calculates pernil horneado portions per person.
Recipe Calculator Arepa de Maiz Llanera Venezuelan per Person
Calculates arepa de maiz portions per person.
Recipe Calculator Bollo Pelon Llanera Venezuelan per Person
Calculates bollo pelon portions per person.
Recipe Calculator Quesillo Llanera Venezuelan
Calculates quesillo dessert portions.
Recipe Calculator Chicha Llanera Venezuelan
Calculates chicha llanera beverage portions.
Recipe Calculator Cocada Llanera Venezuelan
Calculates cocada portions per recipe.
Game Calculator Coop It Takes Two Time
Estimates It Takes Two coop completion time.
Game Calculator Coop Split Fiction Time
Estimates Split Fiction coop completion time.
Game Calculator Coop Helldivers 2 Time
Estimates Helldivers 2 coop time.
Game Calculator Coop Deep Rock Galactic Time
Estimates Deep Rock Galactic coop time.
Game Calculator Coop Grounded Time
Estimates Grounded coop time.
Game Calculator Coop Overcooked All You Can Eat Time
Estimates Overcooked All You Can Eat coop time.
Game Calculator Coop Moving Out 2 Time
Estimates Moving Out 2 coop time.
Game Calculator Coop Paw Patrol Time
Estimates Paw Patrol coop time.
Game Calculator Coop Deep Rock Survivor Time
Estimates Deep Rock Survivor coop time.
Game Calculator Coop Arc Raiders Time
Estimates Arc Raiders coop time.
Game Calculator Coop Warhammer Vermintide 2 Time
Estimates Vermintide 2 coop time.
Game Calculator Coop Darktide Time
Estimates Darktide coop time.
Game Calculator Coop Back 4 Blood Time
Estimates Back 4 Blood coop time.
Calculator Elasticsearch Query Throughput per Second
Estimates Elasticsearch query throughput per second.
Calculator Elasticsearch Indexing Throughput per Second
Estimates Elasticsearch indexing throughput per second.
Calculator Elasticsearch Shards Overhead MB
Estimates Elasticsearch shards overhead MB.
Calculator OpenSearch Search Throughput per Second
Estimates OpenSearch search throughput per second.
Calculator OpenSearch Indexing Throughput per Second
Estimates OpenSearch indexing throughput per second.
Calculator Apache Solr Query Throughput per Second
Estimates Solr query throughput per second.
Calculator Apache Solr Indexing Throughput per Second
Estimates Solr indexing throughput per second.
Calculator Algolia Query Throughput per Second
Estimates Algolia query throughput per second.
Calculator Algolia Indexing Throughput per Second
Estimates Algolia indexing throughput per second.
Calculator ZincSearch Query Throughput per Second
Estimates ZincSearch query throughput per second.
Calculator Quickwit Query Throughput per Second
Estimates Quickwit query throughput per second.
Calculator Tantivy Query Throughput per Second
Estimates Tantivy query throughput per second.
Calculator Onco Neuro Glioblastoma Multiforme Criteria
Evaluates GBM clinical criteria per person.
Calculator Onco Neuro Grade 1 Astrocytoma Criteria
Evaluates grade 1 astrocytoma criteria per person.
Calculator Onco Neuro Grade 2 Astrocytoma Criteria
Evaluates grade 2 astrocytoma criteria per person.
Calculator Onco Neuro Grade 3 Astrocytoma Criteria
Evaluates grade 3 astrocytoma criteria per person.
Calculator Onco Neuro Oligodendroglioma Criteria
Evaluates oligodendroglioma criteria per person.
Calculator Onco Neuro Meningioma Criteria
Evaluates meningioma criteria per person.
Calculator Onco Neuro Acoustic Schwannoma Criteria
Evaluates acoustic schwannoma criteria per person.
Calculator Onco Neuro Craniopharyngioma Criteria
Evaluates craniopharyngioma criteria per person.
Calculator Onco Neuro Pituitary Adenoma Criteria
Evaluates pituitary adenoma criteria per person.
Calculator Onco Neuro Adult Medulloblastoma Criteria
Evaluates adult medulloblastoma criteria per person.
Calculator Onco Neuro Primary CNS Lymphoma Criteria
Evaluates primary CNS lymphoma criteria per person.
Calculator Onco Neuro Brain Metastasis Criteria
Evaluates brain metastasis criteria per person.
Calculator Recipe Zulia Pan de Jamon Venezuelan Zulia Person
Estimates Zulia pan de jamon recipe per person.
Calculator Recipe Zulia Tequenos Venezuelan Zulia Person
Estimates Zulia tequenos recipe per person.
Calculator Recipe Zulia Pasticho Venezuelan Zulia Person
Estimates Zulia pasticho recipe per person.
Calculator Recipe Zulia Mandoca Venezuelan Zulia Person
Estimates Zulia mandoca recipe per person.
Calculator Recipe Zulia Tumbarrancho Venezuelan Zulia Person
Estimates Zulia tumbarrancho recipe per person.
Calculator Recipe Zulia Patacones Venezuelan Zulia Person
Estimates Zulia patacones recipe per person.
Calculator Recipe Zulia Fried Cazon Venezuelan Zulia Person
Estimates Zulia fried cazon recipe per person.
Calculator Recipe Zulia Plantain Balls Venezuelan Zulia Person
Estimates Zulia plantain balls recipe per person.
Calculator Recipe Zulia Bollito Pelon Venezuelan Zulia Person
Estimates Zulia bollito pelon recipe per person.
Calculator Recipe Zulia Coconut Goat Venezuelan Zulia Person
Estimates Zulia coconut goat recipe per person.
Calculator Recipe Zulia Dulce de Leche Venezuelan
Estimates Zulia dulce de leche recipe.
Calculator Recipe Zulia Papelon with Lemon Venezuelan
Estimates Zulia papelon with lemon recipe.
Calculator Recipe Zulia Chicha Venezuelan
Estimates Zulia chicha recipe.
Calculator PVP Shooter Valorant Game Time
Estimates average match time in Valorant.
Calculator PVP Shooter Counter Strike 2 Game Time
Estimates average match time in Counter Strike 2.
Calculator PVP Shooter Overwatch 2 Game Time
Estimates average match time in Overwatch 2.
Calculator PVP Shooter Rainbow Six Siege X Game Time
Estimates average match time in Rainbow Six Siege X.
Calculator PVP Shooter Call of Duty BO6 Game Time
Estimates average match time in Call of Duty Black Ops 6.
Calculator PVP Shooter Arena Breakout Game Time
Estimates average raid time in Arena Breakout.
Calculator PVP Shooter Paladins Game Time
Estimates average match time in Paladins.
Calculator PVP Shooter Splitgate 2 Game Time
Estimates average match time in Splitgate 2.
Calculator PVP Shooter Quake Champions Game Time
Estimates average match time in Quake Champions.
Calculator PVP Shooter Diabotical Rogue Game Time
Estimates average match time in Diabotical Rogue.
Calculator PVP Shooter Deadlock Game Time
Estimates average match time in Deadlock.
Calculator PVP Shooter Concord Game Time
Estimates average match time in Concord.
Calculator PVP Shooter Revolution FPS Game Time
Estimates average match time in Revolution FPS.
Calculator Wasmtime Throughput RPS per Pod
Estimates Wasmtime throughput RPS per pod.
Calculator Wasmtime Cold Start ms
Estimates Wasmtime cold start time in ms.
Calculator Wasmer Throughput RPS per Pod
Estimates Wasmer throughput RPS per pod.
Calculator Wasmer Cold Start ms
Estimates Wasmer cold start time in ms.
Calculator WasmEdge Throughput RPS per Pod
Estimates WasmEdge throughput RPS per pod.
Calculator wasmCloud Throughput RPS per Pod
Estimates wasmCloud throughput RPS per pod.
Calculator Spin Throughput RPS per Pod
Estimates Fermyon Spin throughput RPS per pod.
Calculator Fermyon Cloud Throughput RPS
Estimates Fermyon Cloud throughput RPS.
Calculator wazero Throughput RPS per Pod
Estimates wazero throughput RPS per pod.
Calculator WAMR Throughput RPS per Pod
Estimates WAMR throughput RPS per pod.
Calculator Stitch Throughput RPS per Pod
Estimates Stitch throughput RPS per pod.
Calculator Extism Throughput RPS per Pod
Estimates Extism throughput RPS per pod.
Calculator Onco Endocrine Papillary Thyroid Cancer Criteria
Evaluates papillary thyroid cancer criteria per person.
Calculator Onco Endocrine Follicular Thyroid Cancer Criteria
Evaluates follicular thyroid cancer criteria per person.
Calculator Onco Endocrine Medullary Thyroid Cancer Criteria
Evaluates medullary thyroid cancer criteria per person.
Calculator Onco Endocrine Anaplastic Thyroid Cancer Criteria
Evaluates anaplastic thyroid cancer criteria per person.
Calculator Onco Endocrine Pheochromocytoma Criteria
Evaluates pheochromocytoma criteria per person.
Calculator Onco Endocrine Adrenal Cancer Criteria
Evaluates adrenal cancer criteria per person.
Calculator Onco Endocrine Paraganglioma Criteria
Evaluates paraganglioma criteria per person.
Calculator Onco Endocrine Pituitary Adenoma Criteria
Evaluates endocrine pituitary adenoma criteria per person.
Calculator Onco Endocrine Prolactinoma Criteria
Evaluates prolactinoma criteria per person.
Calculator Onco Endocrine Cushing Syndrome Criteria
Evaluates Cushing syndrome criteria per person.
Calculator Onco Endocrine Acromegaly Criteria
Evaluates acromegaly criteria per person.
Calculator Onco Endocrine MEN Multiple Endocrine Neoplasia Criteria
Evaluates multiple endocrine neoplasia criteria per person.
Calculator Recipe Andean Pizca Venezuelan Andean Person
Estimates Andean pizca recipe per person.
Calculator Recipe Andean Chicken Pisca Venezuelan Andean Person
Estimates Andean chicken pisca recipe per person.
Calculator Recipe Andean Mute Venezuelan Andean Person
Estimates Andean mute recipe per person.
Calculator Recipe Andean Trout Venezuelan Andean Person
Estimates Andean trout recipe per person.
Calculator Recipe Merida Pernil Venezuelan Andean Person
Estimates Merida pernil recipe per person.
Calculator Recipe Merida Sausages Venezuelan Andean Person
Estimates Merida sausages recipe per person.
Calculator Recipe Andean Wheat Arepa Venezuelan Andean Person
Estimates Andean wheat arepa recipe per person.
Calculator Recipe Andean Empanada Venezuelan Andean Person
Estimates Andean empanada recipe per person.
Calculator Recipe Andean Pasteles Venezuelan Andean Person
Estimates Andean pasteles recipe per person.
Calculator Recipe Cuajada Soup Venezuelan Andean Person
Estimates cuajada soup recipe per person.
Calculator Recipe Andean Fruit Preserves Venezuelan
Estimates Andean fruit preserves recipe.
Calculator Recipe Andean Blackberry Wine Venezuelan
Estimates Andean blackberry wine recipe.
Calculator Recipe Andean Calentado Venezuelan
Estimates Andean calentado recipe.
Calculator Sandbox Game Minecraft 1.21 Time
Estimates gameplay time in Minecraft 1.21.
Calculator Sandbox Game Vintage Story Time
Estimates gameplay time in Vintage Story.
Calculator Sandbox Game Terraria 1.4.5 Time
Estimates gameplay time in Terraria 1.4.5.
Calculator Sandbox Game Core Keeper Time
Estimates gameplay time in Core Keeper.
Calculator Sandbox Game Craftopia Time
Estimates gameplay time in Craftopia.
Calculator Sandbox Game Roblox Studio Time
Estimates development time in Roblox Studio.
Calculator Sandbox Game No Mans Sky Worlds Time
Estimates exploration time in No Mans Sky Worlds.
Calculator Sandbox Game Astroneer Time
Estimates gameplay time in Astroneer.
Calculator Sandbox Game Grounded Sandbox Time
Estimates sandbox gameplay time in Grounded.
Calculator Sandbox Game Eco Time
Estimates gameplay time in Eco.
Calculator Voxel Game Teardown Time
Estimates gameplay time in Teardown.
Calculator Voxel Game Luanti Time
Estimates gameplay time in Luanti (Minetest).
Calculator Voxel Game Veloren Time
Estimates gameplay time in Veloren.
Calculator Next.js Build Time in Seconds
Estimates Next.js build time in seconds.
Calculator Next.js Cold Start ms per Person
Estimates Next.js cold start in ms per person.
Calculator Remix Build Time in Seconds
Estimates Remix build time in seconds.
Calculator Remix Cold Start ms per Person
Estimates Remix cold start in ms per person.
Calculator SvelteKit Build Time in Seconds
Estimates SvelteKit build time in seconds.
Calculator SvelteKit Cold Start ms per Person
Estimates SvelteKit cold start in ms per person.
Calculator Astro Build Time in Seconds
Estimates Astro build time in seconds.
Calculator Astro Cold Start ms per Person
Estimates Astro cold start in ms per person.
Calculator Nuxt Build Time in Seconds
Estimates Nuxt build time in seconds.
Calculator Nuxt Cold Start ms per Person
Estimates Nuxt cold start in ms per person.
Calculator Qwik Build Time in Seconds
Estimates Qwik build time in seconds.
Calculator SolidStart Build Time in Seconds
Estimates SolidStart build time in seconds.
Calculator Onco Musculoskeletal Adult Osteosarcoma Criteria
Evaluates adult osteosarcoma criteria per person.
Calculator Onco Musculoskeletal Chondrosarcoma Criteria
Evaluates chondrosarcoma criteria per person.
Calculator Onco Musculoskeletal Adult Ewing Sarcoma Criteria
Evaluates adult Ewing sarcoma criteria per person.
Calculator Onco Musculoskeletal Leiomyosarcoma Criteria
Evaluates leiomyosarcoma criteria per person.
Calculator Onco Musculoskeletal Liposarcoma Criteria
Evaluates liposarcoma criteria per person.
Calculator Onco Musculoskeletal Adult Rhabdomyosarcoma Criteria
Evaluates adult rhabdomyosarcoma criteria per person.
Calculator Onco Musculoskeletal Fibrosarcoma Criteria
Evaluates fibrosarcoma criteria per person.
Calculator Onco Musculoskeletal Synovial Sarcoma Criteria
Evaluates synovial sarcoma criteria per person.
Calculator Onco Musculoskeletal Angiosarcoma Criteria
Evaluates angiosarcoma criteria per person.
Calculator Onco Musculoskeletal Giant Cell Tumor Criteria
Evaluates giant cell tumor of bone criteria per person.
Calculator Onco Musculoskeletal Chordoma Criteria
Evaluates chordoma criteria per person.
Calculator Onco Musculoskeletal Brown Tumor Criteria
Evaluates brown tumor of hyperparathyroidism criteria per person.
Calculator Recipe Margarita Fried Fish Venezuelan Eastern per Person
Estimates Margarita fried fish recipe per person.
Calculator Recipe Eastern Seafood Cazuela Venezuelan per Person
Estimates eastern seafood cazuela recipe per person.
Calculator Recipe Cazon Empanada Venezuelan Eastern per Person
Estimates cazon empanada recipe per person.
Calculator Recipe Fish Empanada Venezuelan Eastern per Person
Estimates fish empanada recipe per person.
Calculator Recipe Fish Sancocho Venezuelan Eastern per Person
Estimates fish sancocho recipe per person.
Calculator Recipe Seafood Tarkari Venezuelan Eastern per Person
Estimates seafood tarkari recipe per person.
Calculator Recipe Eastern Pasticho Venezuelan per Person
Estimates eastern pasticho recipe per person.
Calculator Recipe Cumana Asopao Venezuelan Eastern per Person
Estimates Cumana asopao recipe per person.
Calculator Recipe Fried Grouper Venezuelan Eastern per Person
Estimates fried grouper recipe per person.
Calculator Recipe Fried Snapper Venezuelan Eastern per Person
Estimates fried snapper recipe per person.
Calculator Recipe Coco Loco Venezuelan Eastern
Estimates coco loco recipe.
Calculator Recipe Canelita Venezuelan Eastern
Estimates canelita recipe.
Calculator Recipe Papayita Venezuelan Eastern
Estimates papayita recipe.
Calculator MMO Game Final Fantasy 14 Dawntrail Time
Estimates gameplay time in Final Fantasy 14 Dawntrail.
Calculator MMO Game World of Warcraft The War Within Time
Estimates gameplay time in WoW: The War Within.
Calculator MMO Game Throne and Liberty Time
Estimates gameplay time in Throne and Liberty.
Calculator MMO Game Blue Protocol Time
Estimates gameplay time in Blue Protocol.
Calculator MMO Game Tarisland Time
Estimates gameplay time in Tarisland.
Calculator MMO Game Pax Dei Time
Estimates gameplay time in Pax Dei.
Calculator MMO Game Ashes of Creation Time
Estimates gameplay time in Ashes of Creation.
Calculator MMO Game Monsters and Memories Time
Estimates gameplay time in Monsters and Memories.
Calculator MMO Game Elder Scrolls Online Gold Road Time
Estimates gameplay time in ESO Gold Road.
Calculator MMO Game Guild Wars 2 Janthir Wilds Time
Estimates gameplay time in Guild Wars 2 Janthir Wilds.
Calculator MMO Game Lost Ark Time
Estimates gameplay time in Lost Ark.
Calculator MMO Game Black Desert Time
Estimates gameplay time in Black Desert Online.
Calculator MMO Game New World Aeternum Time
Estimates gameplay time in New World Aeternum.
Calculator Vite Build Time in Seconds
Estimates Vite build time in seconds.
Calculator Vite HMR Time in ms per Person
Estimates Vite HMR time in ms per person.
Calculator Turbopack Build Time in Seconds
Estimates Turbopack build time in seconds.
Calculator Turbopack HMR Time in ms
Estimates Turbopack HMR time in ms.
Calculator Esbuild Build Time in Seconds
Estimates Esbuild build time in seconds.
Calculator Rspack Build Time in Seconds
Estimates Rspack build time in seconds.
Calculator Rolldown Build Time in Seconds
Estimates Rolldown build time in seconds.
Calculator Webpack Build Time in Seconds
Estimates Webpack build time in seconds.
Calculator Parcel Build Time in Seconds
Estimates Parcel build time in seconds.
Calculator Bun Build Time in Seconds
Estimates Bun build time in seconds.
Calculator Rsbuild Build Time in Seconds
Estimates Rsbuild build time in seconds.
Calculator Farm Build Time in Seconds
Estimates Farm build time in seconds.
Calculator Onco Peritoneum Carcinomatosis Criteria
Evaluates peritoneal carcinomatosis criteria per person.
Calculator Onco Peritoneum Pseudomyxoma Peritonei Criteria
Evaluates pseudomyxoma peritonei criteria per person.
Calculator Onco Peritoneum Peritoneal Mesothelioma Criteria
Evaluates peritoneal mesothelioma criteria per person.
Calculator Onco Peritoneum Desmoplastic Tumor Criteria
Evaluates desmoplastic small round cell tumor criteria per person.
Calculator Onco Peritoneum Cytoreduction Criteria
Evaluates cytoreductive surgery criteria per person.
Calculator Onco Peritoneum HIPEC Criteria
Evaluates HIPEC indication criteria per person.
Calculator Onco Peritoneum PIPAC Criteria
Evaluates PIPAC indication criteria per person.
Calculator Onco Peritoneum PCI Score Criteria
Calculates Peritoneal Cancer Index PCI score per person.
Calculator Onco Peritoneum CC Score Criteria
Calculates Completeness of Cytoreduction CC score per person.
Calculator Onco Peritoneum Prognostic Score Criteria
Evaluates peritoneal prognostic score per person.
Calculator Onco Peritoneum Malignant Ascites Criteria
Evaluates malignant ascites criteria per person.
Calculator Onco Peritoneum Omentectomy Criteria
Evaluates omentectomy criteria per person.
Calculator Recipe Hornado Ecuadorian Sierra per Person
Calculates ingredients for Ecuadorian sierra hornado per person.
Calculator Recipe Fritada Ecuadorian Sierra per Person
Calculates ingredients for Ecuadorian sierra fritada per person.
Calculator Recipe Llapingachos Ecuadorian Sierra per Person
Calculates ingredients for Ecuadorian sierra llapingachos per person.
Calculator Recipe Locro de Papa Ecuadorian Sierra per Person
Calculates ingredients for Ecuadorian sierra locro de papa per person.
Calculator Recipe Yaguarlocro Ecuadorian Sierra per Person
Calculates ingredients for Ecuadorian sierra yaguarlocro per person.
Calculator Recipe Cuy Asado Ecuadorian Sierra per Person
Calculates ingredients for Ecuadorian sierra cuy asado per person.
Calculator Recipe Mote Pillo Ecuadorian Sierra per Person
Calculates ingredients for Ecuadorian sierra mote pillo per person.
Calculator Recipe Mote Sucio Ecuadorian Sierra per Person
Calculates ingredients for Ecuadorian sierra mote sucio per person.
Calculator Recipe Tamal Cuencano Ecuadorian Sierra per Person
Calculates ingredients for Ecuadorian sierra tamal cuencano per person.
Calculator Recipe Humita Ecuadorian Sierra per Person
Calculates ingredients for Ecuadorian sierra humita per person.
Calculator Recipe Canelazo Andean Ecuadorian Sierra
Calculates ingredients for Andean Ecuadorian sierra canelazo.
Calculator Recipe Colada Morada Ecuadorian Sierra
Calculates ingredients for Ecuadorian sierra colada morada.
Calculator Recipe Rosero Quitenho Ecuadorian Sierra
Calculates ingredients for Ecuadorian sierra rosero quitenho.
Calculator Space Game Elite Dangerous Time 2
Estimates playtime in Elite Dangerous (current scenarios).
Calculator Space Game Star Citizen 4 Time
Estimates playtime in Star Citizen patch 4.x.
Calculator Space Game X4 Foundations Time
Estimates playtime in X4 Foundations.
Calculator Space Game Everspace 2 Time
Estimates playtime in Everspace 2.
Calculator Space Game Starfield Time 2
Estimates playtime in Starfield (DLCs and expansions).
Calculator Space Game No Mans Sky 2024 Time
Estimates playtime in No Mans Sky 2024+ updates.
Calculator Space Game Flotilla 2 Time
Estimates playtime in Flotilla 2.
Calculator Space Game KSP 2 Time
Estimates playtime in Kerbal Space Program 2.
Calculator Space Game Helldivers Space Time
Estimates playtime in Helldivers space missions.
Calculator Space Game Rebel Galaxy Outlaw Time
Estimates playtime in Rebel Galaxy Outlaw.
Calculator Space Game Chorus Time
Estimates playtime in Chorus.
Calculator Space Game Rebirth Time
Estimates playtime in X Rebirth.
Calculator Space Game Jumplight Time
Estimates playtime in Jumplight Odyssey.
Calculator React Native Build Time in Seconds
Estimates React Native build time in seconds.
Calculator React Native Bundle in MB
Estimates React Native bundle size in MB.
Calculator Flutter Build Time in Seconds
Estimates Flutter build time in seconds.
Calculator Flutter Bundle in MB
Estimates Flutter bundle size in MB.
Calculator Expo Build Time in Seconds
Estimates Expo build time in seconds.
Calculator Expo Bundle in MB
Estimates Expo bundle size in MB.
Calculator Capacitor Build Time in Seconds
Estimates Capacitor build time in seconds.
Calculator Capacitor Bundle in MB
Estimates Capacitor bundle size in MB.
Calculator Ionic Build Time in Seconds
Estimates Ionic build time in seconds.
Calculator Kotlin Multiplatform Build Time in Seconds
Estimates Kotlin Multiplatform build time in seconds.
Calculator Tauri Mobile Build Time in Seconds
Estimates Tauri Mobile build time in seconds.
Calculator Quasar Build Time in Seconds
Estimates Quasar build time in seconds.
Calculator Onco Esophagogastric Person Cardia Cancer Criteria
Evaluates clinical criteria for cardia cancer per person.
Calculator Onco Esophagogastric Person Siewert 1 Criteria
Evaluates criteria for Siewert type 1 junction tumor.
Calculator Onco Esophagogastric Person Siewert 2 Criteria
Evaluates criteria for Siewert type 2 junction tumor.
Calculator Onco Esophagogastric Person Siewert 3 Criteria
Evaluates criteria for Siewert type 3 junction tumor.
Calculator Onco Esophagogastric Person McKeown Esophagectomy Criteria
Evaluates criteria for three-field McKeown esophagectomy.
Calculator Onco Esophagogastric Person Ivor Lewis Esophagectomy Criteria
Evaluates criteria for Ivor Lewis esophagectomy.
Calculator Onco Esophagogastric Person Total Gastrectomy Criteria
Evaluates criteria for total gastrectomy.
Calculator Onco Esophagogastric Person Subtotal Gastrectomy Criteria
Evaluates criteria for subtotal gastrectomy.
Calculator Onco Esophagogastric Person D2 Lymphadenectomy Criteria
Evaluates criteria for D2 lymphadenectomy.
Calculator Onco Esophagogastric Person HER2 Gastric Cancer Criteria
Evaluates HER2 criteria in gastric cancer.
Calculator Onco Esophagogastric Person Diffuse Gastric Cancer Criteria
Evaluates criteria for diffuse-type gastric cancer.
Calculator Onco Esophagogastric Person Intestinal Gastric Cancer Criteria
Evaluates criteria for intestinal-type gastric cancer.
Calculator Recipe Maito de Pescado Ecuadorian Amazon per Person
Calculates ingredients for Amazonian fish maito per person.
Calculator Recipe Maito de Pollo Ecuadorian Amazon per Person
Calculates ingredients for Amazonian chicken maito per person.
Calculator Recipe Chontacuro Ecuadorian Amazon per Person
Calculates ingredients for Amazonian chontacuro per person.
Calculator Recipe Yuca Asada Ecuadorian Amazon per Person
Calculates ingredients for Amazonian roasted yuca per person.
Calculator Recipe Yuca Frita Ecuadorian Amazon per Person
Calculates ingredients for Amazonian fried yuca per person.
Calculator Recipe Chicha de Yuca Ecuadorian Amazon
Calculates ingredients for Amazonian yuca chicha.
Calculator Recipe Chicha de Chonta Ecuadorian Amazon
Calculates ingredients for Amazonian chonta chicha.
Calculator Recipe Guayusa Ecuadorian Amazon
Calculates ingredients for Amazonian guayusa infusion.
Calculator Recipe Locro Quinua Ecuadorian Amazon
Calculates ingredients for Amazonian quinoa locro.
Calculator Recipe Paco Frito Ecuadorian Amazon per Person
Calculates ingredients for Amazonian fried paco per person.
Calculator Recipe Pirarucu Frito Ecuadorian Amazon per Person
Calculates ingredients for Amazonian fried pirarucu per person.
Calculator Recipe Platanito Verde Ecuadorian Amazon per Person
Calculates ingredients for Amazonian green plantain per person.
Calculator Recipe Cacao Fresco Ecuadorian Amazon
Calculates ingredients for Amazonian fresh cacao.
Calculator Game Extraction Escape Tarkov Time
Estimates raid time for Escape from Tarkov extraction shooter.
Calculator Game Extraction Marauders Time
Estimates raid time for Marauders extraction shooter.
Calculator Game Extraction Dark and Darker Time
Estimates raid time for Dark and Darker extraction.
Calculator Game Extraction Arena Breakout Infinite Time
Estimates raid time for Arena Breakout Infinite extraction.
Calculator Game Extraction Incursion Red River Time
Estimates raid time for Incursion Red River extraction.
Calculator Game Extraction Cycle Frontier Time
Estimates raid time for The Cycle Frontier extraction.
Calculator Game Extraction Grey Zone Warfare Time
Estimates raid time for Grey Zone Warfare extraction.
Calculator Game Extraction Marathon Bungie Time
Estimates raid time for Bungie Marathon extraction.
Calculator Game Extraction Exfil Time
Estimates exfiltration time in extraction shooter.
Calculator Game Looter Warframe 1999 Time
Estimates farming time in Warframe 1999 looter shooter.
Calculator Game Looter Destiny 2 Final Shape Time
Estimates farming time in Destiny 2 The Final Shape.
Calculator Game Looter Borderlands 4 Time
Estimates farming time in Borderlands 4 looter shooter.
Calculator Game Looter Outriders Worldslayer Time
Estimates farming time in Outriders Worldslayer.
Calculator Hugo Build Time in Seconds
Estimates Hugo SSG build time in seconds.
Calculator Hugo Pages Throughput per Second
Estimates pages per second generated by Hugo.
Calculator Jekyll Build Time in Seconds
Estimates Jekyll SSG build time in seconds.
Calculator Jekyll Pages Throughput per Second
Estimates pages per second generated by Jekyll.
Calculator Gatsby Build Time in Seconds
Estimates Gatsby SSG build time in seconds.
Calculator Gatsby Pages Throughput per Second
Estimates pages per second generated by Gatsby.
Calculator Eleventy Build Time in Seconds
Estimates Eleventy 11ty build time in seconds.
Calculator Eleventy Pages Throughput per Second
Estimates pages per second generated by Eleventy.
Calculator Zola Build Time in Seconds
Estimates Zola SSG Rust build time in seconds.
Calculator MkDocs Build Time in Seconds
Estimates MkDocs build time in seconds.
Calculator Docusaurus Build Time in Seconds
Estimates Docusaurus build time in seconds.
Calculator VitePress Build Time in Seconds
Estimates VitePress build time in seconds.
Calculator Onco Hepato Person HCC Criteria
Evaluates criteria for hepatocellular carcinoma HCC.
Calculator Onco Hepato Person Intrahepatic Cholangiocarcinoma Criteria
Evaluates criteria for intrahepatic cholangiocarcinoma.
Calculator Onco Hepato Person Perihilar Cholangiocarcinoma Criteria
Evaluates criteria for perihilar Klatskin cholangiocarcinoma.
Calculator Onco Hepato Person Distal Cholangiocarcinoma Criteria
Evaluates criteria for distal cholangiocarcinoma.
Calculator Onco Hepato Person Gallbladder Cancer Criteria
Evaluates criteria for gallbladder cancer.
Calculator Onco Hepato Person Right Hepatectomy Criteria
Evaluates criteria for right hepatectomy.
Calculator Onco Hepato Person Left Hepatectomy Criteria
Evaluates criteria for left hepatectomy.
Calculator Onco Hepato Person Liver Segmentectomy Criteria
Evaluates criteria for liver segmentectomy.
Calculator Onco Hepato Person Liver Transplant Criteria
Evaluates criteria for oncologic liver transplant.
Calculator Onco Hepato Person BCLC Classification Criteria
Evaluates BCLC classification criteria for HCC.
Calculator Onco Hepato Person Child Pugh Criteria Onco
Evaluates Child Pugh criteria for hepatic reserve in oncology.
Calculator Onco Hepato Person MELD Criteria
Evaluates MELD criteria for oncologic liver disease.
Calculator Recipe Encebollado Coastal Ecuador per Person
Computes ingredients for coastal encebollado per person.
Calculator Recipe Ceviche Camaron Coastal Ecuador per Person
Computes ingredients for shrimp ceviche per person.
Calculator Recipe Ceviche Pulpo Coastal Ecuador per Person
Computes ingredients for octopus ceviche per person.
Calculator Recipe Cazuela Pescado Coastal Ecuador per Person
Computes ingredients for coastal fish cazuela per person.
Calculator Recipe Sango Pescado Coastal Ecuador per Person
Computes ingredients for sango pescado per person.
Calculator Recipe Arroz Marisco Coastal Ecuador per Person
Computes ingredients for seafood rice per person.
Calculator Recipe Bolon Verde Coastal Ecuador per Person
Computes ingredients for green plantain bolon per person.
Calculator Recipe Corviche Coastal Ecuador per Person
Computes ingredients for coastal corviche per person.
Calculator Recipe Empanada Verde Coastal Ecuador per Person
Computes ingredients for green plantain empanada per person.
Calculator Recipe Tigrillo Coastal Ecuador per Person
Computes ingredients for tigrillo per person.
Calculator Recipe Tortilla de Yuca Coastal Ecuador
Computes ingredients for yuca tortilla.
Calculator Recipe Jugo de Naranjilla Coastal Ecuador
Computes ingredients for naranjilla juice.
Calculator Recipe Horchata Lojana Coastal Ecuador
Computes ingredients for horchata lojana.
Calculator Pancreatic Person Whipple Criteria
Evaluates criteria for Whipple pancreaticoduodenectomy.
Calculator Pancreatic Person Modified Whipple Criteria
Evaluates criteria for pylorus-preserving modified Whipple.
Calculator Pancreatic Person Distal Pancreatectomy Criteria
Evaluates criteria for distal pancreatectomy.
Calculator Pancreatic Person Body Pancreatectomy Criteria
Evaluates criteria for body pancreatectomy.
Calculator Pancreatic Person Total Pancreatectomy Criteria
Evaluates criteria for total pancreatectomy.
Calculator Pancreatic Person Central Pancreatectomy Criteria
Evaluates criteria for central pancreatectomy.
Calculator Pancreatic Person Mucinous Papillary Tumor Criteria
Evaluates criteria for mucinous papillary pancreatic tumor.
Calculator Pancreatic Person IPMN Criteria
Evaluates criteria for IPMN intraductal papillary mucinous neoplasm.
Calculator Pancreatic Person Acute Pancreatitis Ranson Criteria
Evaluates Ranson criteria for acute pancreatitis.
Calculator Pancreatic Person Acute Pancreatitis APACHE Criteria
Evaluates APACHE II criteria for acute pancreatitis.
Calculator Pancreatic Person Pancreatic Fistula ISGPF Criteria
Evaluates ISGPF criteria for postoperative pancreatic fistula.
Calculator Pancreatic Person Pancreatic Pseudocyst Criteria
Evaluates criteria for pancreatic pseudocyst.
Calculator Recipe Chapaco Kid Goat Bolivian Chaqueña Person
Calculates Chapaco kid goat ingredients per person.
Calculator Recipe Chaqueño Arroz con Leche Bolivian Chaqueña Person
Calculates Chaqueño arroz con leche portions per person.
Calculator Recipe Chaqueño Puchero Bolivian Chaqueña Person
Calculates Chaqueño puchero ingredients per person.
Calculator Recipe Chaqueño Charqui Locro Bolivian Chaqueña Person
Calculates Chaqueño charqui locro ingredients per person.
Calculator Recipe Tarijeña Empanada Bolivian Chaqueña Person
Calculates Tarijeña empanada units per person.
Calculator Recipe Chaqueña Quesadilla Bolivian Chaqueña Person
Calculates Chaqueña quesadilla units per person.
Calculator Recipe Tarijeña Salteña Bolivian Chaqueña Person
Calculates Tarijeña salteña units per person.
Calculator Recipe Chaqueña Battered Yuca Bolivian Chaqueña Person
Calculates Chaqueña yuca rebozada portions per person.
Calculator Recipe Chaqueña Sopaipilla Bolivian Chaqueña Person
Calculates Chaqueña sopaipilla units per person.
Calculator Recipe Chaqueño Rosquetes Bolivian Chaqueña Person
Calculates Chaqueño rosquetes units per person.
Calculator Recipe Tarijeña Cocada Bolivian Chaqueña
Calculates Tarijeña cocada ingredients.
Calculator Recipe Tarija Wine Bolivian Chaqueña
Calculates Tarija high-altitude wine portions.
Calculator Recipe Singani Chuflay Bolivian Chaqueña
Calculates singani chuflay cocktail portions.
Calculator Bariatric Person Sleeve Gastrectomy Criteria
Evaluates eligibility criteria for sleeve gastrectomy bariatric.
Calculator Bariatric Person Roux-en-Y Bypass Criteria
Evaluates criteria for Roux-en-Y gastric bypass.
Calculator Bariatric Person Mini Bypass Criteria
Evaluates criteria for mini gastric bypass bariatric.
Calculator Bariatric Person Adjustable Gastric Band Criteria
Evaluates criteria for adjustable gastric band bariatric.
Calculator Bariatric Person Duodenal Switch Criteria
Evaluates criteria for duodenal switch bariatric.
Calculator Bariatric Person SADI-S Criteria
Evaluates criteria for SADI-S metabolic bariatric surgery.
Calculator Bariatric Person Vertical Banded Gastroplasty Criteria
Evaluates criteria for vertical banded gastroplasty bariatric.
Calculator Bariatric Person Intragastric Balloon Criteria
Evaluates criteria for endoscopic intragastric balloon bariatric.
Calculator Bariatric Person ASGB Criteria
Evaluates criteria for ASGB adjustable silicone gastric band bariatric.
Calculator Bariatric Person Revisional Bariatric Criteria
Evaluates criteria for revisional bariatric surgery.
Calculator Bariatric Person Excess Weight Loss Criteria
Evaluates excess weight loss criteria after bariatric surgery.
Calculator Bariatric Person Post-Op Treatment Criteria
Evaluates post-op treatment and follow-up criteria for bariatric.
Calculator Recipe Rapanui Curanto Person Chilean Rapanui
Calculates Rapanui curanto portions per person.
Calculator Recipe Umu Pae Person Chilean Rapanui
Calculates Rapanui umu pae portions per person.
Calculator Recipe Tunu Ahi Person Chilean Rapanui
Calculates Rapanui tunu ahi stone-grilled portions per person.
Calculator Recipe Poe Person Chilean Rapanui
Calculates Rapanui poe pudding portions per person.
Calculator Recipe Rapanui Poke Person Chilean Rapanui
Calculates Rapanui poke bowl portions per person.
Calculator Recipe Kana Kana Person Chilean Rapanui
Calculates Rapanui kana kana fish portions per person.
Calculator Recipe Rapanui Camote Person Chilean Rapanui
Calculates Rapanui roasted camote portions per person.
Calculator Recipe Rapanui Roasted Plantain Person Chilean Rapanui
Calculates Rapanui roasted plantain portions per person.
Calculator Recipe Rapanui Roasted Pineapple Person Chilean Rapanui
Calculates Rapanui roasted pineapple portions per person.
Calculator Recipe Rapanui Tipanie Person Chilean Rapanui
Calculates Rapanui tipanie portions per person.
Calculator Recipe Pascuense Coffee Chilean Rapanui
Calculates Rapanui pascuense coffee portions.
Calculator Recipe Haka Pei Drink Chilean Rapanui
Calculates Rapanui Haka Pei drink portions.
Calculator Recipe Rapanui Aguamiel Chilean Rapanui
Calculates Rapanui aguamiel portions.
Calculator Upper Digestive Surgery Person Nissen Fundoplication Criteria
Evaluates criteria for Nissen fundoplication in upper digestive surgery.
Calculator Upper Digestive Surgery Person Toupet Fundoplication Criteria
Evaluates criteria for Toupet fundoplication in upper digestive surgery.
Calculator Upper Digestive Surgery Person Dor Fundoplication Criteria
Evaluates criteria for Dor fundoplication in upper digestive surgery.
Calculator Upper Digestive Surgery Person Heller Cardiomyotomy Criteria
Evaluates criteria for Heller cardiomyotomy in upper digestive surgery.
Calculator Upper Digestive Surgery Person Hiatal Hernia Criteria
Evaluates criteria for hiatal hernia surgery in upper digestive surgery.
Calculator Upper Digestive Surgery Person Gastrostomy Criteria
Evaluates criteria for gastrostomy in upper digestive surgery.
Calculator Upper Digestive Surgery Person Jejunostomy Criteria
Evaluates criteria for jejunostomy in upper digestive surgery.
Calculator Upper Digestive Surgery Person Vagotomy Criteria
Evaluates criteria for vagotomy in upper digestive surgery.
Calculator Upper Digestive Surgery Person Pyloroplasty Criteria
Evaluates criteria for pyloroplasty in upper digestive surgery.
Calculator Upper Digestive Surgery Person Gastroduodenostomy Criteria
Evaluates criteria for gastroduodenostomy in upper digestive surgery.
Calculator Upper Digestive Surgery Person Roux-en-Y Criteria
Evaluates criteria for Roux-en-Y reconstruction in upper digestive surgery.
Calculator Upper Digestive Surgery Person Billroth 1 2 Criteria
Evaluates criteria for Billroth I and II in upper digestive surgery.
Calculator Recipe Locro Criollo Pampean Argentine per Person
Calculates Pampean Argentine creole locro ingredients per person.
Calculator Recipe Empanada Mendocina Pampean Argentine per Person
Calculates Argentine Mendoza empanada ingredients per person.
Calculator Recipe Bondiola Asada Pampean Argentine per Person
Calculates Pampean Argentine roasted bondiola ingredients per person.
Calculator Recipe Matambre Arrollado Pampean Argentine per Person
Calculates Pampean Argentine matambre arrollado ingredients per person.
Calculator Recipe Vacio Asado Pampean Argentine per Person
Calculates Pampean Argentine roasted vacio ingredients per person.
Calculator Recipe Entrana Asada Pampean Argentine per Person
Calculates Pampean Argentine roasted entrana ingredients per person.
Calculator Recipe Mollejas Pampean Argentine per Person
Calculates Pampean Argentine mollejas ingredients per person.
Calculator Recipe Chinchulines Pampean Argentine per Person
Calculates Pampean Argentine chinchulines ingredients per person.
Calculator Recipe Morcillas Pampean Argentine per Person
Calculates Pampean Argentine morcillas ingredients per person.
Calculator Recipe Chorizo Criollo Pampean Argentine per Person
Calculates Pampean Argentine creole chorizo ingredients per person.
Calculator Recipe Tarta Pascualina Pampean Argentine
Calculates Argentine tarta pascualina ingredients per serving.
Calculator Recipe Vino Malbec Mendocino Argentine Pampean
Calculates Argentine Mendoza Malbec wine servings per guest.
Calculator Recipe Fernet Coca Argentine Pampean
Calculates Argentine fernet con coca drink servings per guest.
Calculator Colorectal Surgery Person Right Colectomy Criteria
Evaluates criteria for right colectomy in colorectal surgery.
Calculator Colorectal Surgery Person Left Colectomy Criteria
Evaluates criteria for left colectomy in colorectal surgery.
Calculator Colorectal Surgery Person Transverse Colectomy Criteria
Evaluates criteria for transverse colectomy in colorectal surgery.
Calculator Colorectal Surgery Person Total Colectomy Criteria
Evaluates criteria for total colectomy in colorectal surgery.
Calculator Colorectal Surgery Person Sigmoidectomy Criteria
Evaluates criteria for sigmoidectomy in colorectal surgery.
Calculator Colorectal Surgery Person Rectosigmoidectomy Criteria
Evaluates criteria for rectosigmoidectomy in colorectal surgery.
Calculator Colorectal Surgery Person Rectosigmoidectomy Height Criteria
Evaluates tumor height criteria for rectosigmoidectomy in colorectal surgery.
Calculator Colorectal Surgery Person Abdominoperineal Resection Criteria
Evaluates criteria for Miles abdominoperineal resection in colorectal surgery.
Calculator Colorectal Surgery Person TME Anterior Resection Criteria
Evaluates criteria for anterior resection with total mesorectal excision in colorectal surgery.
Calculator Colorectal Surgery Person Hartmann Criteria
Evaluates criteria for Hartmann procedure in colorectal surgery.
Calculator Colorectal Surgery Person Ileostomy Criteria
Evaluates criteria for ileostomy in colorectal surgery.
Calculator Colorectal Surgery Person Colostomy Criteria
Evaluates criteria for colostomy in colorectal surgery.
Calculator Recipe Mangu Dominican per Person
Calculates Dominican mangu ingredients per person.
Calculator Recipe Bandera Dominicana per Person
Calculates Dominican bandera dish rice beans meat ingredients per person.
Calculator Recipe Sancocho Prieto Dominican per Person
Calculates Dominican sancocho prieto seven-meat stew ingredients per person.
Calculator Recipe Asopao de Pollo Dominican per Person
Calculates Dominican asopao de pollo chicken rice stew ingredients per person.
Calculator Recipe Locrio de Pollo Dominican per Person
Calculates Dominican locrio de pollo chicken rice ingredients per person.
Calculator Recipe Locrio de Arenque Dominican per Person
Calculates Dominican locrio de arenque herring rice ingredients per person.
Calculator Recipe Chicharron de Pollo Dominican per Person
Calculates Dominican chicharron de pollo fried chicken ingredients per person.
Calculator Recipe Chivo Liniero Dominican per Person
Calculates Dominican chivo liniero goat stew ingredients per person.
Calculator Recipe Pescado con Coco Dominican per Person
Calculates Dominican pescado con coco fish coconut ingredients per person.
Calculator Recipe Yaniqueque Dominican per Person
Calculates Dominican yaniqueque fried dough ingredients per person.
Calculator Recipe Habichuelas con Dulce Dominican
Calculates Dominican habichuelas con dulce sweet beans ingredients per serving.
Calculator Recipe Morir Sonando Dominican
Calculates Dominican morir sonando milk juice drink servings per guest.
Calculator Recipe Mama Juana Dominican
Calculates Dominican mama juana herbal rum drink servings per guest.
Calculator Hernia Person Direct Inguinal Criteria
Evaluates criteria for direct inguinal hernia in abdominal wall surgery.
Calculator Hernia Person Indirect Inguinal Criteria
Evaluates criteria for indirect inguinal hernia in abdominal wall surgery.
Calculator Hernia Person Femoral Criteria
Evaluates criteria for femoral hernia in abdominal wall surgery.
Calculator Hernia Person Umbilical Criteria
Evaluates criteria for umbilical hernia in abdominal wall surgery.
Calculator Hernia Person Epigastric Criteria
Evaluates criteria for epigastric hernia in abdominal wall surgery.
Calculator Hernia Person Incisional Criteria
Evaluates criteria for incisional hernia in abdominal wall surgery.
Calculator Hernia Person Parastomal Criteria
Evaluates criteria for parastomal hernia in abdominal wall surgery.
Calculator Hernia Person Spigelian Criteria
Evaluates criteria for Spigelian hernia in abdominal wall surgery.
Calculator Hernia Person Littre Criteria
Evaluates criteria for Littre hernia in abdominal wall surgery.
Calculator Hernia Person Richter Criteria
Evaluates criteria for Richter hernia in abdominal wall surgery.
Calculator Hernia Person Petit Criteria
Evaluates criteria for Petit lower lumbar hernia in abdominal wall surgery.
Calculator Hernia Person Grynfeltt Criteria
Evaluates criteria for Grynfeltt upper lumbar hernia in abdominal wall surgery.
Calculator Puerto Rican Mofongo Recipe per Person
Estimates Puerto Rican mofongo ingredients per person.
Calculator Puerto Rican Arroz con Gandules Recipe per Person
Estimates Puerto Rican rice with pigeon peas ingredients per person.
Calculator Puerto Rican Pernil Asado Recipe per Person
Estimates Puerto Rican roast pork shoulder ingredients per person.
Calculator Puerto Rican Lechon Asado Recipe per Person
Estimates Puerto Rican whole roast pork ingredients per person.
Calculator Puerto Rican Arroz con Pollo Recipe per Person
Estimates Puerto Rican rice with chicken ingredients per person.
Calculator Puerto Rican Alcapurria Recipe per Person
Estimates Puerto Rican alcapurria fritters ingredients per person.
Calculator Puerto Rican Pasteles Recipe per Person
Estimates Puerto Rican pasteles ingredients per person.
Calculator Puerto Rican Tostones Recipe per Person
Estimates Puerto Rican fried plantain tostones ingredients per person.
Calculator Puerto Rican Asopao Recipe per Person
Estimates Puerto Rican asopao soupy rice ingredients per person.
Calculator Puerto Rican Bacalaitos Recipe per Person
Estimates Puerto Rican codfish fritters ingredients per person.
Calculator Puerto Rican Tembleque Recipe
Estimates Puerto Rican tembleque coconut pudding ingredients.
Calculator Puerto Rican Coquito Recipe
Estimates Puerto Rican coquito coconut eggnog ingredients.
Calculator Puerto Rican Piragua Recipe
Estimates Puerto Rican piragua shaved ice ingredients.
Calculator Anorectal Person Hemorrhoidectomy Criteria
Evaluates criteria for hemorrhoidectomy in anorectal surgery.
Calculator Anorectal Person Fissurectomy Criteria
Evaluates criteria for fissurectomy in anorectal surgery.
Calculator Anorectal Person Fistulotomy Criteria
Evaluates criteria for fistulotomy in anorectal surgery.
Calculator Anorectal Person Fistulectomy Criteria
Evaluates criteria for fistulectomy in anorectal surgery.
Calculator Anorectal Person Rubber Band Ligation Criteria
Evaluates criteria for rubber band ligation in anorectal surgery.
Calculator Anorectal Person THD Criteria
Evaluates criteria for THD transanal hemorrhoidal dearterialization in anorectal surgery.
Calculator Anorectal Person Stapler PPH Criteria
Evaluates criteria for stapled hemorrhoidopexy PPH in anorectal surgery.
Calculator Anorectal Person Perianal Abscess Criteria
Evaluates criteria for perianal abscess drainage in anorectal surgery.
Calculator Anorectal Person Condyloma Acuminata Criteria
Evaluates criteria for condyloma acuminata excision in anorectal surgery.
Calculator Anorectal Person Rectal Prolapse Criteria
Evaluates criteria for rectal prolapse repair in anorectal surgery.
Calculator Anorectal Person Pilonidal Sinus Criteria
Evaluates criteria for pilonidal sinus excision in anorectal surgery.
Calculator Anorectal Person Rectovaginal Fistula Criteria
Evaluates criteria for rectovaginal fistula repair in anorectal surgery.
Calculator Recipe Ropa Vieja Cuban Classic2 per Person
Estimates ropa vieja classic Cuban ingredients per person.
Calculator Recipe Arroz Congri Cuban Classic2 per Person
Estimates arroz congri classic Cuban ingredients per person.
Calculator Recipe Vaca Frita Cuban Classic2 per Person
Estimates vaca frita classic Cuban ingredients per person.
Calculator Recipe Lechon Asado Cuban Classic2 per Person
Estimates lechon asado classic Cuban ingredients per person.
Calculator Recipe Tasajo Criollo Cuban Classic2 per Person
Estimates tasajo criollo classic Cuban ingredients per person.
Calculator Recipe Fricase Pollo Cuban Classic2 per Person
Estimates fricase pollo classic Cuban ingredients per person.
Calculator Recipe Aporreado Cuban Classic2 per Person
Estimates aporreado classic Cuban ingredients per person.
Calculator Recipe Bistec Palomilla Cuban Classic2 per Person
Estimates bistec palomilla classic Cuban ingredients per person.
Calculator Recipe Camarones Enchilados Cuban Classic2 per Person
Estimates camarones enchilados classic Cuban ingredients per person.
Calculator Recipe Malanga Fritter Cuban Classic2 per Person
Estimates malanga fritter classic Cuban ingredients per person.
Calculator Recipe Flan Cuban Classic2
Estimates Cuban classic flan ingredients.
Calculator Recipe Mojito Classic Cuban Classic2
Estimates classic mojito Cuban ingredients.
Calculator Recipe Mojito Fresa Cuban Classic2
Estimates strawberry mojito Cuban ingredients.
Calculator Uro Person Radical Prostatectomy Criteria
Evaluates criteria for radical prostatectomy in urological surgery.
Calculator Uro Person Open Prostatectomy Criteria
Evaluates criteria for open prostatectomy in urological surgery.
Calculator Uro Person TURP Prostate Criteria
Evaluates criteria for transurethral resection of the prostate.
Calculator Uro Person TURBT Bladder Criteria
Evaluates criteria for transurethral resection of bladder tumor.
Calculator Uro Person Radical Cystectomy Criteria
Evaluates criteria for radical cystectomy in urological surgery.
Calculator Uro Person Radical Nephrectomy Criteria
Evaluates criteria for radical nephrectomy in urological surgery.
Calculator Uro Person Partial Nephrectomy Criteria
Evaluates criteria for partial nephrectomy in urological surgery.
Calculator Uro Person Pyeloplasty Criteria
Evaluates criteria for pyeloplasty in urological surgery.
Calculator Uro Person Radical Orchiectomy Criteria
Evaluates criteria for radical orchiectomy in urological surgery.
Calculator Uro Person Vasectomy Criteria
Evaluates criteria for vasectomy in urological surgery.
Calculator Uro Person Vasovasostomy Criteria
Evaluates criteria for vasovasostomy in urological surgery.
Calculator Uro Person Ureteroscopy Criteria
Evaluates criteria for ureteroscopy in urological surgery.
Calculator Recipe Griot Haitian 2 per Person
Estimates ingredients for Haitian griot per person.
Calculator Recipe Tassot Haitian 2 per Person
Estimates ingredients for Haitian tassot per person.
Calculator Recipe Soup Joumou Haitian 2 per Person
Estimates ingredients for Haitian soup joumou per person.
Calculator Recipe Poul Nan Sos Haitian 2 per Person
Estimates ingredients for Haitian poul nan sos per person.
Calculator Recipe Lambi Creole Haitian 2 per Person
Estimates ingredients for Haitian lambi creole per person.
Calculator Recipe Diri Djon Djon Haitian 2 per Person
Estimates ingredients for Haitian diri djon djon per person.
Calculator Recipe Bouyon Haitian 2 per Person
Estimates ingredients for Haitian bouyon per person.
Calculator Recipe Poisson Gros Sel Haitian 2 per Person
Estimates ingredients for Haitian poisson gros sel per person.
Calculator Recipe Akra Malanga Haitian 2 per Person
Estimates ingredients for Haitian akra de malanga per person.
Calculator Recipe Banann Peze Haitian 2 per Person
Estimates ingredients for Haitian banann peze per person.
Calculator Recipe Pen Patat Haitian 2
Estimates ingredients for Haitian pen patat.
Calculator Recipe Prestige Beer Haitian 2
Estimates ingredients for Haitian Prestige beer.
Calculator Recipe Clairin Haitian 2
Estimates ingredients for Haitian clairin.
Calculator Body Plastic Person Liposuction Criteria
Evaluates criteria for liposuction in body plastic surgery.
Calculator Body Plastic Person Abdominoplasty Criteria
Evaluates criteria for abdominoplasty in body plastic surgery.
Calculator Body Plastic Person Mini Abdominoplasty Criteria
Evaluates criteria for mini abdominoplasty in body plastic surgery.
Calculator Body Plastic Person Mastopexy Criteria
Evaluates criteria for mastopexy in body plastic surgery.
Calculator Body Plastic Person Breast Augmentation Criteria
Evaluates criteria for breast augmentation in body plastic surgery.
Calculator Body Plastic Person Breast Reduction Criteria
Evaluates criteria for breast reduction in body plastic surgery.
Calculator Body Plastic Person Gynecomastia Criteria
Evaluates criteria for gynecomastia correction in body plastic surgery.
Calculator Body Plastic Person Brachioplasty Criteria
Evaluates criteria for brachioplasty in body plastic surgery.
Calculator Body Plastic Person Cruroplasty Criteria
Evaluates criteria for cruroplasty in body plastic surgery.
Calculator Body Plastic Person Gluteoplasty Criteria
Evaluates criteria for gluteoplasty in body plastic surgery.
Calculator Body Plastic Person Gluteal Implant Criteria
Evaluates criteria for gluteal implant in body plastic surgery.
Calculator Body Plastic Person Body Bichectomy Criteria
Evaluates criteria for body bichectomy in body plastic surgery.
Recipe Calculator Jerk Chicken Jamaican 2 People
Adjusts ingredients of Jamaican Jerk Chicken recipe for 2 people.
Recipe Calculator Jerk Pork Jamaican 2 People
Adjusts ingredients of Jamaican Jerk Pork recipe for 2 people.
Recipe Calculator Curry Goat Jamaican 2 People
Adjusts ingredients of Jamaican Curry Goat recipe for 2 people.
Recipe Calculator Oxtail Jamaican 2 People
Adjusts ingredients of Jamaican Oxtail recipe for 2 people.
Recipe Calculator Rice and Peas Jamaican 2 People
Adjusts ingredients of Jamaican Rice and Peas recipe for 2 people.
Recipe Calculator Akee Saltfish Jamaican 2 People
Adjusts ingredients of Jamaican Akee Saltfish recipe for 2 people.
Recipe Calculator Bammy Jamaican 2 People
Adjusts ingredients of Jamaican Bammy recipe for 2 people.
Recipe Calculator Festival Jamaican 2 People
Adjusts ingredients of Jamaican Festival recipe for 2 people.
Recipe Calculator Callaloo Jamaican 2 People
Adjusts ingredients of Jamaican Callaloo recipe for 2 people.
Recipe Calculator Escovitch Fish Jamaican 2 People
Adjusts ingredients of Jamaican Escovitch Fish recipe for 2 people.
Recipe Calculator Toto Cake Jamaican 2
Adjusts ingredients of Jamaican Toto Cake recipe for 2 people.
Recipe Calculator Sorrel Jamaican 2
Adjusts ingredients of Jamaican Sorrel drink recipe for 2 people.
Recipe Calculator Rum Punch Jamaican 2
Adjusts ingredients of Jamaican Rum Punch cocktail for 2 people.
Calculator General Abdominal Surgery Person Appendectomy Criteria
Evaluates criteria for appendectomy in general abdominal surgery.
Calculator General Abdominal Surgery Person Cholecystectomy Criteria
Evaluates criteria for cholecystectomy in general abdominal surgery.
Calculator General Abdominal Surgery Person Open Cholecystectomy Criteria
Evaluates criteria for open cholecystectomy in general abdominal surgery.
Calculator General Abdominal Surgery Person Choledocholithotomy Criteria
Evaluates criteria for choledocholithotomy in general abdominal surgery.
Calculator General Abdominal Surgery Person Choledochojejunostomy Criteria
Evaluates criteria for choledochojejunostomy in general abdominal surgery.
Calculator General Abdominal Surgery Person Splenectomy Criteria
Evaluates criteria for splenectomy in general abdominal surgery.
Calculator General Abdominal Surgery Person Distal Pancreatectomy Criteria
Evaluates criteria for distal pancreatectomy in general abdominal surgery.
Calculator General Abdominal Surgery Person Omentectomy Criteria
Evaluates criteria for omentectomy in general abdominal surgery.
Calculator General Abdominal Surgery Person Adhesiolysis Criteria
Evaluates criteria for adhesiolysis in general abdominal surgery.
Calculator General Abdominal Surgery Person Exploratory Laparotomy Criteria
Evaluates criteria for exploratory laparotomy in general abdominal surgery.
Calculator General Abdominal Surgery Person Evisceration Criteria
Evaluates criteria for evisceration management in general abdominal surgery.
Calculator General Abdominal Surgery Person Contained Evisceration Criteria
Evaluates criteria for contained evisceration in general abdominal surgery.
Calculator Doubles Trinidadian Recipe per Person
Adjusts ingredients of the Trinidadian Doubles recipe per person.
Calculator Bake and Shark Trinidadian Recipe per Person
Adjusts ingredients of the Trinidadian Bake and Shark recipe per person.
Calculator Roti Curry Trinidadian Recipe per Person
Adjusts ingredients of the Trinidadian Roti Curry recipe per person.
Calculator Pelau Trinidadian Recipe per Person
Adjusts ingredients of the Trinidadian Pelau recipe per person.
Calculator Callaloo Trinidadian Recipe per Person
Adjusts ingredients of the Trinidadian Callaloo recipe per person.
Calculator Macaroni Pie Trinidadian Recipe per Person
Adjusts ingredients of the Trinidadian Macaroni Pie recipe per person.
Calculator Buljol Trinidadian Recipe per Person
Adjusts ingredients of the Trinidadian Buljol recipe per person.
Calculator Pholourie Trinidadian Recipe per Person
Adjusts ingredients of the Trinidadian Pholourie recipe per person.
Calculator Aloo Pie Trinidadian Recipe per Person
Adjusts ingredients of the Trinidadian Aloo Pie recipe per person.
Calculator Corn Soup Trinidadian Recipe per Person
Adjusts ingredients of the Trinidadian Corn Soup recipe per person.
Calculator Curry Duck Trinidadian Recipe
Adjusts ingredients of the Trinidadian Curry Duck recipe.
Calculator Sorrel Drink Trinidadian Recipe
Adjusts ingredients of the Trinidadian Sorrel Drink recipe.
Calculator Mauby Trinidadian Recipe
Adjusts ingredients of the Trinidadian Mauby drink recipe.
Calculator General Neurosurgery Person Supratentorial Craniotomy Criteria
Evaluates criteria for supratentorial craniotomy in general neurosurgery.
Calculator General Neurosurgery Person Infratentorial Craniotomy Criteria
Evaluates criteria for infratentorial craniotomy in general neurosurgery.
Calculator General Neurosurgery Person Decompressive Craniectomy Criteria
Evaluates criteria for decompressive craniectomy in general neurosurgery.
Calculator General Neurosurgery Person Ventriculoperitoneal Shunt Criteria
Evaluates criteria for ventriculoperitoneal shunt in general neurosurgery.
Calculator General Neurosurgery Person Ventriculoatrial Shunt Criteria
Evaluates criteria for ventriculoatrial shunt in general neurosurgery.
Calculator General Neurosurgery Person External Ventricular Drain Criteria
Evaluates criteria for external ventricular drain in general neurosurgery.
Calculator General Neurosurgery Person Aneurysm Clipping Criteria
Evaluates criteria for aneurysm clipping in general neurosurgery.
Calculator General Neurosurgery Person Aneurysm Embolization Criteria
Evaluates criteria for aneurysm embolization in general neurosurgery.
Calculator General Neurosurgery Person AVM Resection Criteria
Evaluates criteria for AVM resection in general neurosurgery.
Calculator General Neurosurgery Person Mechanical Thrombectomy Criteria
Evaluates criteria for mechanical thrombectomy in general neurosurgery.
Calculator General Neurosurgery Person Laminectomy Criteria
Evaluates criteria for laminectomy in general neurosurgery.
Calculator General Neurosurgery Person Cervical Discectomy Criteria
Evaluates criteria for cervical discectomy in general neurosurgery.
Calculator Bajan Cou Cou and Flying Fish Recipe per Person
Calculates ingredients for Cou Cou with Flying Fish (national dish of Barbados) per number of people.
Calculator Bajan Macaroni Pie Recipe per Person
Calculates ingredients for Bajan Macaroni Pie (baked cheese pasta) per number of people.
Calculator Bajan Pudding and Souse Recipe per Person
Calculates ingredients for Pudding and Souse (cured pork with sweet potato pudding) per number of people.
Calculator Bajan Fishcakes Recipe per Person
Calculates ingredients for Bajan Fishcakes (fried saltfish fritters) per number of people.
Calculator Bajan Fried Chicken Recipe per Person
Calculates ingredients for Bajan Fried Chicken (fried chicken with bajan seasoning) per number of people.
Calculator Bajan Conkies Recipe per Person
Calculates ingredients for Bajan Conkies (cornmeal pudding steamed in banana leaves) per number of people.
Calculator Bajan Pepper Pot Recipe per Person
Calculates ingredients for Bajan Pepper Pot (meat stew with cassareep) per number of people.
Calculator Bajan Jug Jug Recipe per Person
Calculates ingredients for Bajan Jug Jug (green pigeon peas with meat and herbs) per number of people.
Calculator Bajan Cassava Pone Recipe per Person
Calculates ingredients for Cassava Pone (cassava cake with coconut and spices) per number of people.
Calculator Bajan Coucou Recipe per Person
Calculates ingredients for Coucou (cornmeal and okra polenta) per number of people.
Calculator Bajan Rum Cake Recipe
Calculates ingredients for Bajan Rum Cake (rum-soaked cake) per serving.
Calculator Bajan Mauby Recipe
Calculates ingredients for Bajan Mauby (fermented mauby bark drink) per serving.
Calculator Bajan Falernum Recipe
Calculates ingredients for Falernum (alcoholic ginger, lime and almond syrup) per serving.
Calculator Peripheral Vascular Person Aortobifemoral Bypass Criteria
Evaluates criteria for aortobifemoral bypass in peripheral vascular surgery.
Calculator Peripheral Vascular Person Femoral to Above-Knee Popliteal Bypass Criteria
Evaluates criteria for above-knee femoropopliteal bypass in peripheral vascular surgery.
Calculator Peripheral Vascular Person Femoral to Below-Knee Popliteal Bypass Criteria
Evaluates criteria for below-knee femoropopliteal bypass in peripheral vascular surgery.
Calculator Peripheral Vascular Person Femorotibial Bypass Criteria
Evaluates criteria for femorotibial bypass in peripheral vascular surgery.
Calculator Peripheral Vascular Person Carotid Endarterectomy Criteria
Evaluates criteria for carotid endarterectomy in peripheral vascular surgery.
Calculator Peripheral Vascular Person Iliac Angioplasty Criteria
Evaluates criteria for iliac angioplasty in peripheral vascular surgery.
Calculator Peripheral Vascular Person Femoral Angioplasty Criteria
Evaluates criteria for femoral angioplasty in peripheral vascular surgery.
Calculator Peripheral Vascular Person Popliteal Angioplasty Criteria
Evaluates criteria for popliteal angioplasty in peripheral vascular surgery.
Calculator Peripheral Vascular Person Above-Knee Amputation Criteria
Evaluates criteria for above-knee amputation in peripheral vascular surgery.
Calculator Peripheral Vascular Person Below-Knee Amputation Criteria
Evaluates criteria for below-knee amputation in peripheral vascular surgery.
Calculator Peripheral Vascular Person Foot Amputation Criteria
Evaluates criteria for foot amputation in peripheral vascular surgery.
Calculator Peripheral Vascular Person Arterial Thrombectomy Criteria
Evaluates criteria for arterial thrombectomy in peripheral vascular surgery.
Calculator Panamanian Sancocho Recipe Per Person
Calculates ingredients of Panamanian sancocho per serving.
Calculator Panamanian Ropa Vieja Recipe Per Person
Calculates ingredients of Panamanian ropa vieja per serving.
Calculator Panamanian Arroz con Pollo Recipe Per Person
Calculates ingredients of Panamanian arroz con pollo per serving.
Calculator Panamanian Tasajo Recipe Per Person
Calculates ingredients of Panamanian tasajo per serving.
Calculator Panamanian Tamal Recipe Per Person
Calculates ingredients of Panamanian tamal per serving.
Calculator Panamanian Carimanola Recipe Per Person
Calculates ingredients of Panamanian carimanola per serving.
Calculator Panamanian Hojaldra Recipe Per Person
Calculates ingredients of Panamanian hojaldra per serving.
Calculator Panamanian Empanada Recipe Per Person
Calculates ingredients of Panamanian empanada per serving.
Calculator Panamanian Pesada de Frijoles Recipe Per Person
Calculates ingredients of Panamanian pesada de frijoles per serving.
Calculator Panamanian Arroz con Guandu Recipe Per Person
Calculates ingredients of Panamanian arroz con guandu per serving.
Calculator Panamanian Bollo Recipe
Calculates ingredients of Panamanian bollo per serving.
Calculator Panamanian Chicheme Recipe
Calculates ingredients of Panamanian chicheme per serving.
Calculator Panamanian Seco Herrerano Recipe
Calculates servings of Panamanian seco herrerano per event.
Calculator Cardio Person CABG Criteria
Evaluates criteria for coronary artery bypass grafting CABG.
Calculator Cardio Person CABG Uniarterial Criteria
Evaluates criteria for single-vessel CABG in cardiac surgery.
Calculator Cardio Person CABG Multi-arterial Criteria
Evaluates criteria for multi-arterial CABG in cardiac surgery.
Calculator Cardio Person Aortic Valve Replacement Criteria
Evaluates criteria for surgical aortic valve replacement.
Calculator Cardio Person Mitral Valve Replacement Criteria
Evaluates criteria for surgical mitral valve replacement.
Calculator Cardio Person Tricuspid Valve Replacement Criteria
Evaluates criteria for surgical tricuspid valve replacement.
Calculator Cardio Person TAVI Criteria
Evaluates criteria for transcatheter aortic valve implantation TAVI.
Calculator Cardio Person MitraClip Criteria
Evaluates criteria for transcatheter MitraClip in mitral regurgitation.
Calculator Cardio Person ASD Closure Criteria
Evaluates criteria for atrial septal defect ASD closure.
Calculator Cardio Person VSD Closure Criteria
Evaluates criteria for ventricular septal defect VSD closure.
Calculator Cardio Person Cardiotomy Criteria
Evaluates criteria for cardiotomy in open cardiac surgery.
Calculator Cardio Person Heart Transplant Criteria
Evaluates criteria for heart transplantation in end-stage failure.
Calculator Costa Rican Gallo Pinto Recipe Per Person
Calculates ingredients of Costa Rican gallo pinto per serving.
Calculator Costa Rican Casado Recipe Per Person
Calculates ingredients of Costa Rican casado per serving.
Calculator Costa Rican Olla de Carne Recipe Per Person
Calculates ingredients of Costa Rican olla de carne per serving.
Calculator Costa Rican Tamales Recipe Per Person
Calculates ingredients of Costa Rican tamales per serving.
Calculator Costa Rican Arroz con Leche Recipe Per Person
Calculates ingredients of Costa Rican arroz con leche per serving.
Calculator Costa Rican Arroz con Frijoles Recipe Per Person
Calculates ingredients of Costa Rican rice and beans per serving.
Calculator Costa Rican Arreglados Recipe Per Person
Calculates ingredients of Costa Rican arreglados sandwiches per serving.
Calculator Costa Rican Chorreadas Recipe Per Person
Calculates ingredients of Costa Rican corn pancakes per serving.
Calculator Costa Rican Ceviche Recipe Per Person
Calculates ingredients of Costa Rican ceviche per serving.
Calculator Costa Rican Empanadas Recipe Per Person
Calculates ingredients of Costa Rican empanadas per serving.
Calculator Costa Rican Dulce de Chiverre Recipe
Calculates ingredients of Costa Rican dulce de chiverre per serving.
Calculator Costa Rican Cafe Chorreado Recipe
Calculates proportion of Costa Rican cafe chorreado per serving.
Calculator Costa Rican Cacique Guaro Recipe
Calculates servings of Costa Rican Cacique guaro per event.
Calculator Lower GI Surgery Person Ileocolectomy Criteria
Evaluates criteria for ileocolectomy in lower GI surgery.
Calculator Lower GI Surgery Person Ileostomy Criteria
Evaluates criteria for ileostomy in lower GI surgery.
Calculator Lower GI Surgery Person Protective Colostomy Criteria
Evaluates criteria for protective colostomy in lower GI surgery.
Calculator Lower GI Surgery Person Ileocolic Anastomosis Criteria
Evaluates criteria for ileocolic anastomosis in lower GI surgery.
Calculator Lower GI Surgery Person Colorectal Anastomosis Criteria
Evaluates criteria for colorectal anastomosis in lower GI surgery.
Calculator Lower GI Surgery Person Coloanal Anastomosis Criteria
Evaluates criteria for coloanal anastomosis in lower GI surgery.
Calculator Lower GI Surgery Person Jejunoileal Anastomosis Criteria
Evaluates criteria for jejunoileal anastomosis in lower GI surgery.
Calculator Lower GI Surgery Person Jejunoileal Bypass Criteria
Evaluates criteria for jejunoileal bypass in lower GI surgery.
Calculator Lower GI Surgery Person Diverticular Resection Criteria
Evaluates criteria for diverticular resection in lower GI surgery.
Calculator Lower GI Surgery Person Ischemic Resection Criteria
Evaluates criteria for ischemic resection in lower GI surgery.
Calculator Lower GI Surgery Person Obstruction Resection Criteria
Evaluates criteria for obstructive resection in lower GI surgery.
Calculator Lower GI Surgery Person Perforation Resection Criteria
Evaluates criteria for perforation resection in lower GI surgery.
Calculator Guatemalan Pepian Recipe Per Person
Scales Guatemalan pepian ingredients per number of people.
Calculator Guatemalan Jocon Recipe Per Person
Scales Guatemalan jocon ingredients per number of people.
Calculator Guatemalan Kakik Recipe Per Person
Scales Guatemalan kakik ingredients per number of people.
Calculator Guatemalan Red Tamales Recipe Per Person
Scales Guatemalan red tamales ingredients per person.
Calculator Guatemalan Chuchitos Recipe Per Person
Scales Guatemalan chuchitos ingredients per person.
Calculator Guatemalan Paches Recipe Per Person
Scales Guatemalan paches ingredients per person.
Calculator Guatemalan Fiambre Recipe Per Person
Scales Guatemalan fiambre ingredients per person.
Calculator Guatemalan Rellenitos Recipe Per Person
Scales Guatemalan rellenitos ingredients per person.
Calculator Guatemalan Revolcado Recipe Per Person
Scales Guatemalan revolcado ingredients per person.
Calculator Guatemalan Mosh Recipe Per Person
Scales Guatemalan mosh ingredients per person.
Calculator Guatemalan Atol Elote Recipe
Scales Guatemalan atol de elote ingredients.
Calculator Guatemalan Rompopo Recipe
Scales Guatemalan rompopo ingredients.
Calculator Guatemalan Highland Coffee Recipe
Scales Guatemalan highland coffee ingredients.
Calculator Oncologic Colorectal Person Cecum Cancer Criteria v2
Evaluates cecum cancer criteria in colorectal oncology.
Calculator Oncologic Colorectal Person Ascending Colon Cancer Criteria v2
Evaluates ascending colon cancer criteria.
Calculator Oncologic Colorectal Person Transverse Colon Cancer Criteria v2
Evaluates transverse colon cancer criteria.
Calculator Oncologic Colorectal Person Descending Colon Cancer Criteria v2
Evaluates descending colon cancer criteria.
Calculator Oncologic Colorectal Person Sigmoid Cancer Criteria v2
Evaluates sigmoid cancer criteria.
Calculator Oncologic Colorectal Person Rectal Cancer Criteria v2
Evaluates rectal cancer criteria.
Calculator Oncologic Colorectal Person Upper Rectum Cancer Criteria
Evaluates upper rectum cancer criteria.
Calculator Oncologic Colorectal Person Mid Rectum Cancer Criteria
Evaluates mid rectum cancer criteria.
Calculator Oncologic Colorectal Person Lower Rectum Cancer Criteria
Evaluates lower rectum cancer criteria.
Calculator Oncologic Colorectal Person Anal Cancer Criteria v2
Evaluates anal cancer criteria.
Calculator Oncologic Colorectal Person Mucosal Cancer Criteria
Evaluates mucosal cancer criteria in colorectal oncology.
Calculator Oncologic Colorectal Person Submucosal Cancer Criteria
Evaluates submucosal cancer criteria.
Honduran Baleadas Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Baleadas recipe per person.
Honduran Sopa de Frijoles Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Sopa de Frijoles recipe per person.
Honduran Sopa de Caracol Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Sopa de Caracol recipe per person.
Honduran Sopa de Mondongo Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Sopa de Mondongo recipe per person.
Honduran Plato Tipico Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Plato Tipico recipe per person.
Honduran Tamales Hondurenos Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Tamales Hondurenos recipe per person.
Honduran Nacatamal Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Nacatamal recipe per person.
Honduran Yuca Frita Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Yuca Frita recipe per person.
Honduran Pastelitos Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Pastelitos recipe per person.
Honduran Arroz con Camarones Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Arroz con Camarones recipe per person.
Honduran Rosquillas Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Rosquillas recipe per person.
Honduran Horchata de Arroz Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Horchata de Arroz recipe per person.
Honduran Yojoa BBQ Recipe Calculator Per Person
Calculates ingredient quantities for Honduran Yojoa BBQ recipe per person.
Obstetric Person Cesarea Criteria Calculator
Evaluates criteria for Cesarea in obstetrics/obstetric surgery.
Obstetric Person Cesarea Iterativa Criteria Calculator
Evaluates criteria for Cesarea Iterativa in obstetrics/obstetric surgery.
Obstetric Person Parto Vaginal Criteria Calculator
Evaluates criteria for Parto Vaginal in obstetrics/obstetric surgery.
Obstetric Person Vacuoextracao Criteria Calculator
Evaluates criteria for Vacuoextracao in obstetrics/obstetric surgery.
Obstetric Person Forceps Criteria Calculator
Evaluates criteria for Forceps in obstetrics/obstetric surgery.
Obstetric Person Curetagem Puerperal Criteria Calculator
Evaluates criteria for Curetagem Puerperal in obstetrics/obstetric surgery.
Obstetric Person Laparotomia Cesarea Criteria Calculator
Evaluates criteria for Laparotomia Cesarea in obstetrics/obstetric surgery.
Obstetric Person Histerorrafia Criteria Calculator
Evaluates criteria for Histerorrafia in obstetrics/obstetric surgery.
Obstetric Person Laqueadura Criteria Calculator
Evaluates criteria for Laqueadura in obstetrics/obstetric surgery.
Obstetric Person Mioectomia Puerperal Criteria Calculator
Evaluates criteria for Mioectomia Puerperal in obstetrics/obstetric surgery.
Obstetric Person Tomadura Criteria Calculator
Evaluates criteria for Tomadura in obstetrics/obstetric surgery.
Obstetric Person Rotura Uterina Criteria Calculator
Evaluates criteria for Rotura Uterina in obstetrics/obstetric surgery.
Nicaraguan Gallo Pinto Nicaraguense Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan gallo pinto recipe per person.
Nicaraguan Vigoron Nicaraguense Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan vigoron recipe per person.
Nicaraguan Nacatamal Nicaraguense Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan nacatamal nicaraguense recipe per person.
Nicaraguan Indio Viejo Nicaraguense Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan indio viejo recipe per person.
Nicaraguan Quesillo Nica Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan quesillo nica recipe per person.
Nicaraguan Baho Nicaraguense Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan baho recipe per person.
Nicaraguan Mondongo Nicaraguense Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan mondongo nicaraguense recipe per person.
Nicaraguan Rondon Caribe Nica Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan rondon caribe nicaraguense recipe per person.
Nicaraguan Arroz com Coco Nica Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan arroz com coco nicaraguense recipe per person.
Nicaraguan Tres Leches Nica Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan tres leches nicaraguense recipe per person.
Nicaraguan Rosquillas Soumeneras Nica Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan rosquillas soumeneras recipe per person.
Nicaraguan Tiste Nicaraguense Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan tiste nicaraguense recipe per person.
Nicaraguan Pinolillo Nicaraguense Recipe Per Person Calculator
Calculates ingredient amounts of Nicaraguan pinolillo nicaraguense recipe per person.
Reconstructive Plastic Surgery TRAM flap Criteria Calculator
Evaluates criteria for TRAM flap in reconstructive plastic surgery.
Reconstructive Plastic Surgery DIEP flap Criteria Calculator
Evaluates criteria for DIEP flap in reconstructive plastic surgery.
Reconstructive Plastic Surgery MSAP flap Criteria Calculator
Evaluates criteria for MSAP flap in reconstructive plastic surgery.
Reconstructive Plastic Surgery Gluteal flap Criteria Calculator
Evaluates criteria for Gluteal flap in reconstructive plastic surgery.
Reconstructive Plastic Surgery Anterolateral thigh flap Criteria Calculator
Evaluates criteria for Anterolateral thigh flap in reconstructive plastic surgery.
Reconstructive Plastic Surgery Fibula free flap Criteria Calculator
Evaluates criteria for Fibula free flap in reconstructive plastic surgery.
Reconstructive Plastic Surgery Radial forearm flap Criteria Calculator
Evaluates criteria for Radial forearm flap in reconstructive plastic surgery.
Reconstructive Plastic Surgery Latissimus dorsi flap Criteria Calculator
Evaluates criteria for Latissimus dorsi flap in reconstructive plastic surgery.
Reconstructive Plastic Surgery Breast implant Criteria Calculator
Evaluates criteria for Breast implant in reconstructive plastic surgery.
Reconstructive Plastic Surgery Tissue expansion Criteria Calculator
Evaluates criteria for Tissue expansion in reconstructive plastic surgery.
Reconstructive Plastic Surgery Skin graft Criteria Calculator
Evaluates criteria for Skin graft in reconstructive plastic surgery.
Reconstructive Plastic Surgery Skin substitute Criteria Calculator
Evaluates criteria for Skin substitute in reconstructive plastic surgery.
Salvadoran Pupusas Revueltas per Person Recipe Calculator
Calculates ingredients for Salvadoran pupusas revueltas per number of people.
Salvadoran Cheese Pupusas per Person Recipe Calculator
Calculates ingredients for Salvadoran cheese pupusas per number of people.
Salvadoran Chicharron Pupusas per Person Recipe Calculator
Calculates ingredients for Salvadoran chicharron pupusas per number of people.
Salvadoran Sopa de Pata per Person Recipe Calculator
Calculates ingredients for Salvadoran sopa de pata per number of people.
Salvadoran Sopa de Res per Person Recipe Calculator
Calculates ingredients for Salvadoran sopa de res per number of people.
Salvadoran Yuca Frita per Person Recipe Calculator
Calculates ingredients for Salvadoran yuca frita per number of people.
Salvadoran Tamales Pisques per Person Recipe Calculator
Calculates ingredients for Salvadoran tamales pisques per number of people.
Salvadoran Tamales de Elote per Person Recipe Calculator
Calculates ingredients for Salvadoran tamales de elote per number of people.
Salvadoran Milk Empanadas per Person Recipe Calculator
Calculates ingredients for Salvadoran milk empanadas per number of people.
Salvadoran Quesadilla per Person Recipe Calculator
Calculates ingredients for Salvadoran quesadilla per number of people.
Salvadoran Atol de Pinol Recipe Calculator
Calculates ingredients for Salvadoran atol de pinol per serving.
Salvadoran Horchata de Morro Recipe Calculator
Calculates ingredients for Salvadoran horchata de morro per serving.
Salvadoran Suero Recipe Calculator
Calculates ingredients for Salvadoran suero per serving.
Hand Orthopedics Carpal Tunnel Criteria Calculator
Evaluates criteria for Carpal Tunnel Syndrome in hand and wrist orthopedics.
Hand Orthopedics Guyon Tunnel Criteria Calculator
Evaluates criteria for Guyon Tunnel Syndrome in hand and wrist orthopedics.
Hand Orthopedics Trigger Finger Criteria Calculator
Evaluates criteria for Trigger Finger in hand and wrist orthopedics.
Hand Orthopedics Dupuytren Contracture Criteria Calculator
Evaluates criteria for Dupuytren Contracture in hand and wrist orthopedics.
Hand Orthopedics De Quervain Tenosynovitis Criteria Calculator
Evaluates criteria for De Quervain Tenosynovitis in hand and wrist orthopedics.
Hand Orthopedics Wrist Ganglion Criteria Calculator
Evaluates criteria for Wrist Ganglion in hand and wrist orthopedics.
Hand Orthopedics Scaphoid Fracture Criteria Calculator
Evaluates criteria for Scaphoid Fracture in hand and wrist orthopedics.
Hand Orthopedics Colles Fracture Criteria Calculator
Evaluates criteria for Colles Fracture in hand and wrist orthopedics.
Hand Orthopedics Smith Fracture Criteria Calculator
Evaluates criteria for Smith Fracture in hand and wrist orthopedics.
Hand Orthopedics Barton Fracture Criteria Calculator
Evaluates criteria for Barton Fracture in hand and wrist orthopedics.
Hand Orthopedics Rhizarthrosis Criteria Calculator
Evaluates criteria for Rhizarthrosis in hand and wrist orthopedics.
Hand Orthopedics Ulnar Instability Criteria Calculator
Evaluates criteria for Ulnar Instability in hand and wrist orthopedics.
Coast FIRE Calculator (Financial Independence)
Computes Coast FIRE: minimum net worth so that compound returns alone reach your FIRE number by retirement. Compares Lean/Regular/Fat FIRE.
Inverse Rule of 72 (yield to double in N periods)
Given N periods to double your capital, compute the required yield using Rule of 72/70/69.3 and compare to the exact discrete rate.
Carb/Insulin Ratio (ICR) and Insulin Sensitivity Factor (ISF)
Computes ICR (rule of 500/450) and ISF (rule of 1800/1500) from your Total Daily Dose (TDD). Estimates meal bolus and correction from carbs, current BG and target.
Elo Rating Match Update
Compute updated Elo ratings for two players from a 1v1 result (1, 0.5 or 0), showing each side's expected score, delta and chosen K-factor.
Narcissistic / Armstrong Numbers Checker
Check whether a number is narcissistic/Armstrong (153 = 1³+5³+3³). Show the digit-power decomposition and list all narcissistic numbers in a range. Displays all 36 known base-10 narcissistic numbers from 0 to 4,679,307,774.
Clock Angle Calculator
Compute the exact angle between the hour and minute hands for a given time (e.g. 3:15), showing the smaller angle in degrees. A classic programming-interview and logic puzzle.
Collatz Sequence Generator
Generate the Collatz sequence (3n+1 conjecture) from a positive integer: if even, halve it; if odd, triple and add one, until reaching 1. Shows every step and the stopping time.
Lucas Numbers Generator
Generate the Lucas number sequence (2, 1, 3, 4, 7, 11, 18, …), Fibonacci's cousin, with the recurrence L(n)=L(n−1)+L(n−2) starting at 2 and 1. Appears in number theory and the golden ratio.
Pascal's Triangle Generator
Generate the first N rows of Pascal's triangle, where each number is the sum of the two above. The rows are the binomial coefficients, used in combinatorics, probability and the binomial theorem.
Perfect Numbers Generator
List the perfect numbers up to a limit — integers equal to the sum of their proper divisors (6 = 1+2+3, 28 = 1+2+4+7+14). They are extremely rare: 6, 28, 496, 8128… Shows each one's decomposition.
Bell Numbers Generator
Generate the Bell numbers B(0), B(1), … — the number of ways to partition a set of n elements (1, 1, 2, 5, 15, 52, 203…). They appear in combinatorics and set theory, computed via the Bell triangle.
Tribonacci Sequence Generator
Generate the Tribonacci sequence, where each term is the sum of the previous three (0, 0, 1, 1, 2, 4, 7, 13, 24, 44…). It is a generalization of the Fibonacci sequence, tied to the Tribonacci constant.
Catalan Numbers Generator
Generate the Catalan numbers C(0), C(1), … (1, 1, 2, 5, 14, 42, 132…), which count balanced parentheses, polygon triangulations and binary trees. Formula: C(n) = (2n)! / ((n+1)! · n!).
Padovan Sequence Generator
Generate the Padovan sequence (1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12…), where each term is the sum of the ones two and three places back: P(n) = P(n−2) + P(n−3). Tied to the plastic number and the Padovan spiral.
Perrin Sequence Generator
Generate the Perrin sequence (3, 0, 2, 3, 2, 5, 5, 7, 10, 12…), with recurrence P(n) = P(n−2) + P(n−3) and seeds 3, 0, 2. It has the curious property that n divides P(n) when n is prime.
Pell Numbers Generator
Generate the Pell numbers (0, 1, 2, 5, 12, 29, 70, 169…), defined by P(n) = 2·P(n−1) + P(n−2). The ratio of consecutive terms tends to the silver ratio, and they approximate the square root of 2.
Jacobsthal Numbers Generator
Generate the Jacobsthal numbers (0, 1, 1, 3, 5, 11, 21, 43, 85…), defined by J(n) = J(n−1) + 2·J(n−2). They appear in combinatorics, coding theory and tilings.
Figurate Numbers Generator
Generate figurate numbers — triangular, square, pentagonal and hexagonal — which count dots arranged in geometric shapes. For example, the triangular numbers are 1, 3, 6, 10, 15… Pick the type and count.
PPI (Screen Density) Calculator
Compute a screen's pixel density (PPI/DPI) from its pixel resolution and diagonal size in inches, and also show the dot pitch in millimeters. Useful to compare monitors, laptops and phones.
Megapixels ↔ Resolution Converter
Compute the megapixels of a resolution (width × height) and, given a megapixel count and an aspect ratio, estimate the matching resolution. Useful for cameras, sensors and printing.
Pixels Per Degree (PPD) Calculator
Compute the angular pixel density (PPD) of a screen or VR headset from the per-axis resolution and the field of view (FOV) in degrees. The higher the PPD, the sharper and more screen-door-free the image.
Print Size Calculator
Compute the physical size of a printed photo (in cm and inches) from the pixel resolution and the target DPI, and how many pixels are needed to print a given size with quality. Default DPI 300.
Möbius Function μ(n)
Compute the Möbius function μ(n): it returns 0 when n is divisible by a perfect square, +1 when n has an even number of distinct prime factors and −1 when it has an odd number. Fundamental in number theory and Möbius inversion.
Divisor Sum & Count (σ and d)
List all divisors of an integer and compute the sum of divisors σ(n), the number of divisors d(n) and the sum of proper divisors. Also shows whether the number is perfect, abundant or deficient. Useful in number theory.
Happy Number Checker
Check whether a number is happy: by repeatedly summing the squares of its digits, a happy number reaches 1, while a sad number falls into the cycle that passes through 4. Shows the full sequence to the conclusion.
Kaprekar's Constant (6174)
Apply Kaprekar's routine to a four-digit number: sort the digits in descending and ascending order, subtract, and repeat. Any number whose digits are not all equal reaches the constant 6174 in at most seven steps. Shows every iteration.
Chinese Remainder Theorem Solver
Solve a system of congruences x ≡ a (mod m) with the Chinese Remainder Theorem. Enter the remainder and modulus pairs and get the smallest non-negative solution and the combined modulus. Works with coprime moduli and detects inconsistent systems.
Subfactorial (Derangements) !n
Compute the subfactorial !n, the number of derangements of n elements — permutations in which no element stays in its original position. It is the basis of the hat-check problem. The ratio n!/!n approaches e (2.718…). For example, !4 = 9 and !5 = 44.
Double Factorial n!!
Compute the double factorial n!!, the product of all integers of the same parity as n down to 1 or 2. For odd n, 7!! = 7·5·3·1 = 105; for even n, 6!! = 6·4·2 = 48. It appears in integrals, the gamma function and combinatorics, and should not be confused with (n!)!.
Primorial n#
Compute the primorial n#, the product of all prime numbers less than or equal to n. For example, 10# = 2·3·5·7 = 210. It is the prime analogue of the factorial and appears in the search for large primes and number theory (primorial primes p# ± 1).
Hyperfactorial H(n)
Compute the hyperfactorial H(n) = 1¹·2²·3³·…·nⁿ, the product of each integer raised to itself. It grows far faster than the factorial: H(4) = 27648 and H(5) = 86400000. It appears in Kinkelin's K-function and in determinants of special matrices.
Superfactorial sf(n)
Compute the superfactorial sf(n) = 1!·2!·3!·…·n!, the product of the first n factorials. For example, sf(4) = 1·2·6·24 = 288 and sf(5) = 34560. It appears in the Vandermonde determinant with integer nodes and in the Barnes G-function.
Keith Number Checker
Check whether a number is a Keith number: starting from its digits and repeatedly summing the last terms (like Fibonacci), the number itself eventually appears in the sequence. For example, 14 generates 1, 4, 5, 9, 14. They are rare and hard to find.
Harshad / Niven Number Checker
Check whether a number is a Harshad (or Niven) number: one that is divisible by the sum of its own digits. For example, 18 is Harshad because 1 + 8 = 9 and 18 ÷ 9 = 2. Shows the digit sum and the quotient. The name comes from Sanskrit for 'giving joy'.
Automorphic Number Checker
Check whether a number is automorphic: one whose square ends in the same digits as the number itself. For example, 5² = 25, 6² = 36, 25² = 625 and 76² = 5776. Shows the square and highlights the ending. They are rare and connected to 5-adic numbers.
Lychrel Number / 196 Algorithm
Apply the reverse-and-add algorithm: repeatedly add the number to its reverse until a palindrome appears. Shows each step and how many iterations it took. Numbers that seem to never form a palindrome, like the famous 196, are called Lychrel candidates.
Weird Number Checker
Check whether a number is weird: abundant — the sum of its proper divisors exceeds the number — but not semiperfect, meaning no subset of those divisors adds up exactly to the number. The smallest is 70. They are rare and curiously all known ones are even.
Practical Number Checker
Check whether a number is practical: one where every integer smaller than it can be written as a sum of distinct proper divisors of it. For example, 12 is practical. They relate to Egyptian fractions and to representing quantities, as in ancient measurement systems.
Smith Number Checker
Check whether a composite number is a Smith number: the sum of its digits equals the sum of the digits of all its prime factors (with repetition). For example, 4937775 and the small 22 (2+2 = 4 = 2 + (1+1) of factors 2 and 11). Shows the factorization and both sums.
Powerful Number Checker
Check whether a number is powerful: one where, for every prime p that divides it, p² also divides it. Equivalently, it can be written as a²·b³. For example, 8, 9, 16, 72 and 200 are powerful. Shows the factorization and exponents. Connected to the Erdős conjecture.
Platonic Solids Properties
Show the combinatorial properties of the five Platonic solids — tetrahedron, cube, octahedron, dodecahedron and icosahedron: number of faces, vertices and edges, face type, dihedral angle and the check of Euler's formula V − E + F = 2. Pick the solid.
Triangle Classifier
Classify a triangle from the lengths of its three sides: by sides (equilateral, isosceles or scalene) and by angles (acute, right or obtuse), using the converse of the Pythagorean theorem. Also checks whether the sides form a valid triangle.
Intersection of Two Lines
Find the intersection point of two lines in the plane, given in the general form a·x + b·y = c. Solves the linear system and reports the meeting coordinates, or warns if the lines are parallel (no solution) or coincident (infinitely many).
Circle Through Three Points
Determine the circle passing through three given points, computing the center (circumcenter) and the radius. It is the basis of the circle circumscribed about a triangle. Warns when the three points are collinear and define no circle.
Law of Cosines
Compute the third side of a triangle from two sides and the angle between them, using the law of cosines c² = a² + b² − 2ab·cos(C). It generalizes the Pythagorean theorem to any triangle and also gives the remaining angles.
Law of Sines
Solve a triangle with the law of sines a/sin(A) = b/sin(B) = c/sin(C): given one side and two angles, find the other sides and the remaining angle. Useful in triangulation, surveying and navigation.
Conic Section Classifier
Classify a conic given by the general equation A·x² + B·xy + C·y² + … using the discriminant B² − 4AC: negative means ellipse (or circle), zero means parabola and positive means hyperbola. Shows the discriminant and the curve type.
Angle Between Vectors
Compute the angle between two vectors in space (2D or 3D) from the dot product and the norms: cos(θ) = (u·v)/(|u||v|). Returns the angle in degrees and radians, useful in physics, computer graphics and geometry.
Parabola: Focus, Vertex and Directrix
From the coefficients of a parabola y = a·x² + b·x + c, compute the vertex, the focus, the directrix equation and the axis of symmetry. Essential in the study of conics, optics (parabolic mirrors) and antennas.
Point-to-Plane Distance (3D)
Compute the distance from a point to a plane in space, given the plane in the form a·x + b·y + c·z = d and the point's coordinates. Uses the formula |a·x₀ + b·y₀ + c·z₀ − d| / √(a² + b² + c²). Useful in spatial geometry and 3D computer graphics.
Line Equation Through Two Points
Determine the equation of the line through two points: the slope-intercept form y = m·x + b (with slope m and intercept b), the general form and the slope. Also handles the vertical-line case. A staple of analytic geometry.
Graph Degree Sequence
From a graph's edge list, compute the degree of each vertex (how many edges touch it) and the sorted degree sequence. Verifies the handshake lemma: the sum of degrees is always twice the number of edges.
Eulerian Graph (Path and Circuit)
Determine whether a connected graph has an Eulerian circuit (traverses each edge once returning to the start) or an Eulerian path, by counting odd-degree vertices: zero odd means a circuit, exactly two means a path. The basis of the Königsberg bridges problem.
Graph Connected Components
Count the connected components of an undirected graph from the number of vertices and the edge list, using union-find. Isolated vertices count as their own components. Fundamental for analyzing network connectivity.
Bipartite Graph Checker
Check whether a graph is bipartite — whether its vertices can be split into two sets with no internal edges — by trying to 2-color it with breadth-first search. Shows the two sets or the odd cycle that blocks bipartition. Useful in matching and scheduling.
Geometric Distribution
Compute the geometric distribution: the probability that the first success occurs on the k-th trial, P(X=k) = (1−p)^(k−1)·p, plus the mean 1/p and variance. Models the number of trials until the first success in Bernoulli experiments.
Exponential Distribution
Compute the density f(x) = λe^(−λx), the cumulative probability P(X≤x) = 1−e^(−λx), the mean 1/λ and standard deviation of the exponential distribution. Models the time between events of a Poisson process, like equipment failures and queue arrivals.
Uniform Distribution (Continuous)
Compute the density, cumulative probability, mean and variance of the continuous uniform distribution on the interval [a, b], where all values are equally likely. The density is 1/(b−a) inside the interval and zero outside it.
Triangular Distribution
Compute density, cumulative probability and mean of the triangular distribution, defined by a minimum a, a maximum b and a mode c. Widely used in simulation and risk analysis (as in the PERT method) when only the minimum, maximum and most likely values are known.
Shortest Path (Dijkstra)
Compute the shortest path from a source vertex to all others in a weighted graph with non-negative weights, using Dijkstra's algorithm. Enter weighted edges (e.g. 1-2:4) and the source, and see the minimum distance to each vertex. The basis of routing in networks and maps.
Minimum Spanning Tree (Kruskal)
Find the minimum spanning tree of a weighted connected graph with Kruskal's algorithm: the subset of edges connecting all vertices with the lowest possible total weight and no cycles. Shows the chosen edges and the total cost. Used in network design.
Graph Coloring (Greedy)
Color a graph's vertices so neighboring vertices get different colors, using the greedy by-vertex-order algorithm. Reports the number of colors used (an upper bound on the chromatic number) and the color assigned to each vertex. Applied in scheduling and register allocation.
Weibull Distribution
Compute the density f(x), the cumulative probability P(X≤x) = 1 − e^(−(x/λ)^k) and the mean λ·Γ(1+1/k) of the Weibull distribution, with shape k and scale λ. It is the central distribution of reliability analysis and component lifetime.
Pareto Distribution
Compute the density, the cumulative probability P(X≤x) = 1 − (xₘ/x)^α and the mean α·xₘ/(α−1) of the Pareto distribution, with minimum scale xₘ and index α. Models the 80/20 principle and long-tail phenomena like income, city sizes and file sizes.
Rayleigh Distribution
Compute the density f(x) = (x/σ²)·e^(−x²/2σ²), the cumulative probability and the mean σ·√(π/2) of the Rayleigh distribution, with scale parameter σ. It arises in the magnitude of 2D vectors with Gaussian components — in signals, winds and waves.
Negative Binomial Distribution
Compute the probability P(X=k) of observing k failures before reaching r successes, in Bernoulli trials with probability p, plus the mean r·(1−p)/p. It generalizes the geometric distribution (r = 1) and models overdispersed counts.
Log-Normal Distribution
Compute the density, the cumulative probability and the mean e^(μ+σ²/2) of the log-normal distribution, where the logarithm of the variable follows a normal distribution with parameters μ and σ. Models strictly positive, skewed quantities like incomes, prices and particle sizes.
Floyd-Warshall (All-Pairs Shortest Paths)
Compute the shortest-path distance between every pair of vertices in a weighted graph, using the Floyd-Warshall algorithm. Enter the number of vertices and the weighted edges, and see the full matrix of minimum distances. Also detects unreachable pairs.
Topological Sort (DAG)
Produce a topological ordering of a directed acyclic graph (DAG) using Kahn's algorithm: a sequence of the vertices in which every edge points forward. Detects cycles (which prevent ordering). Used in task scheduling and dependency resolution.
Hamiltonian Path and Cycle
Check whether a graph admits a Hamiltonian path (visiting each vertex exactly once) or a Hamiltonian cycle (also returning to the start), by backtracking search. Unlike the Eulerian case, this is an NP-complete problem — feasible only for small graphs.
Bridges and Articulation Points
Find the bridges (edges whose removal disconnects the graph) and articulation points (vertices whose removal disconnects it), using Tarjan's depth-first-search algorithm. They are a network's critical points of vulnerability.
Cauchy Distribution
Compute the density f(x) = 1/(πγ[1+((x−x₀)/γ)²]) and the cumulative probability of the Cauchy (Lorentzian) distribution, with location x₀ and scale γ. It is famous for having no defined mean or variance — its tails are too heavy. Appears in resonance physics and spectroscopy.
Logistic Distribution
Compute the density, the cumulative probability (the sigmoid function) and the variance of the logistic distribution, with location μ and scale s. Similar to the normal but with heavier tails, it is the basis of logistic regression and of growth and choice models (Elo, IRT).
Gumbel Distribution
Compute the density, the cumulative probability P(X≤x) = e^(−e^(−(x−μ)/β)) and the mean μ + βγ of the Gumbel distribution (extreme value type I), with location μ and scale β. Models maxima — river floods, extreme winds, records — in extreme value theory.
Ackermann Function
Compute the Ackermann function A(m, n), the classic example of a computable function that is not primitive recursive: it grows so fast that A(4, 2) already has thousands of digits. Demonstrates deep recursion and the limits of computation. Limited to small values of m.
Balanced Brackets Checker
Check whether a text's parentheses (), brackets [] and braces {} are correctly balanced and nested, using a stack. Points out the position of the first error. The basis of syntax validators, code editors and expression parsers.
Postfix (RPN) Expression Evaluator
Evaluate an expression in reverse Polish (postfix) notation, where operators come after operands and there are no parentheses. Supports + − × ÷ and power, processing tokens with a stack. For example, '5 1 2 + 4 × +' equals 14.
Longest Common Subsequence (LCS)
Find the longest common subsequence (LCS) between two strings: the longest sequence of characters appearing in both in the same order, not necessarily contiguous. Uses dynamic programming and underlies file diff and DNA alignment.
0/1 Knapsack Problem
Solve the 0/1 knapsack problem: given a capacity and items with weight and value, find the highest-value subset that fits, by dynamic programming. Each item is taken whole or left out. A classic of combinatorial optimization.
Roman Numeral Calculator
Perform arithmetic (+, −, ×, ÷) directly between Roman numerals, converting to decimal, computing and returning the result as a Roman numeral. For example, X + V = XV. Also shows the decimal value of each step.
Disjoint Sets (Union-Find)
Apply union operations over a collection of elements and show the final partition into disjoint sets, using the union-find (DSU) structure with path compression. The basis of cycle detection, the minimum spanning tree and connectivity analysis.
Chemical Equation Balancer
Balance a chemical equation by finding the smallest integer coefficients that equalize the atom count of each element on both sides. Solves the linear system of mass conservation. For example, H2 + O2 → H2O becomes 2 H2 + O2 → 2 H2O.
Electron Configuration
Generate an atom's electron configuration from its atomic number, filling the sublevels in the order of the Aufbau (Madelung) diagram. For example, sodium (Z = 11) is 1s² 2s² 2p⁶ 3s¹. Also shows the distribution by shells (K, L, M…).
Atomic Structure (Protons, Neutrons, Electrons)
Compute the number of protons, neutrons and electrons of an atom or ion from the atomic number (Z), the mass number (A) and the charge. Protons = Z, neutrons = A − Z and electrons = Z − charge. Fundamental to studying the structure of matter.
Empirical Formula (from %)
Determine the empirical formula of a compound from the mass percentage composition of its elements, dividing by atomic masses and reducing to the smallest whole-number ratio. For example, 40% C, 6.7% H and 53.3% O give CH₂O.
pH of a Mixture (Strong Acid + Strong Base)
Compute the resulting pH when mixing volumes of a strong acid and a strong base, accounting for neutralization and the excess of H⁺ or OH⁻. Enter concentrations and volumes and get the final pH and pOH. Useful in titration and lab work.
Hess's Law (Sum of Enthalpies)
Compute a reaction's total enthalpy change by summing the enthalpies of intermediate steps multiplied by their coefficients, following Hess's Law — that ΔH depends only on the initial and final states, not the path. Enter the coefficient × ΔH pairs.
Degree of Ionization (α)
Compute the degree of ionization (or dissociation) α of an electrolyte as the ratio of the ionized amount to the initial amount, as a percentage. It indicates an acid or base strength: the larger α, the stronger. For example, 2 mol ionized of 50 give α = 4%.
Equilibrium Constant (Kc)
Compute a reaction's equilibrium constant Kc from the molar concentrations at equilibrium and the stoichiometric coefficients: Kc = [products]^coef ÷ [reactants]^coef. It shows which way the reaction tends. The basis of equilibrium chemistry.
Molecular Geometry (VSEPR)
Determine molecular geometry by VSEPR theory from the number of bonding electron pairs and lone pairs on the central atom. For example, 4 bonds and 0 lone pairs give tetrahedral geometry; 3 bonds and 1 lone pair give pyramidal. Also reports the approximate bond angle.
Oxidation Number
Compute the oxidation number of an element in a chemical formula, applying the standard rules (oxygen −2, hydrogen +1, alkali metals +1, etc.) and solving for the target element so the sum equals the charge. For example, sulfur in H₂SO₄ has oxidation number +6.
Graham's Law (Gas Effusion)
Compute the ratio of effusion (or diffusion) rates of two gases by Graham's Law: the rate is inversely proportional to the square root of the molar mass. For example, hydrogen (M=2) effuses 4 times faster than oxygen (M=32). Enter the two molar masses.
Rate Law (Chemical Kinetics)
Compute a reaction's rate from the rate constant k and the reactant concentrations raised to their reaction orders: v = k·[A]^m·[B]^n. Enter k and the concentration-order pairs. Fundamental in chemical kinetics.
Dalton's Law (Partial Pressures)
Compute each gas's partial pressure in a mixture from the total pressure and the amount (in moles) of each component, by Dalton's Law: partial pressure is proportional to mole fraction. The partial pressures sum to the total. Enter the total pressure and the moles.
Raoult's Law (Vapor Pressure)
Compute the vapor pressure of a solution with a non-volatile solute by Raoult's Law: the pressure is the pure solvent's multiplied by its mole fraction. The more solute, the lower the vapor pressure. Enter the pure-solvent pressure and the moles of solvent and solute.
Weak Acid pH (from Ka)
Compute the pH of a weak acid solution from the ionization constant Ka and the initial concentration, solving the dissociation equilibrium. Shows the H⁺ concentration, the pH and the degree of ionization. For example, 0.1 mol/L acetic acid (Ka = 1.8×10⁻⁵) has pH ≈ 2.87.
Ideal Gas Volume (PV = nRT)
Compute the volume occupied by an ideal gas from the amount (moles), temperature (in kelvin) and pressure (in atm), using the Clapeyron equation PV = nRT. At STP (0 °C, 1 atm), 1 mole occupies about 22.4 liters. Enter n, T and P.
Solubility Product (Ksp)
Compute the molar solubility of a sparingly soluble salt from its solubility product Ksp and the dissociation stoichiometry. For example, for an AB salt (Ksp = 10⁻¹⁰), the solubility is 10⁻⁵ mol/L. Enter the Ksp and the cation and anion coefficients.
Faraday's Law (Electrolysis)
Compute the mass of substance deposited or released in electrolysis by Faraday's 1st Law: m = (Q·M)/(n·F), where Q = current × time, M is the molar mass, n the number of electrons and F the Faraday constant (96485 C/mol). Enter current, time, molar mass and electrons.
Lens Equation (Gauss)
Compute the position of the image formed by a thin lens from the focal length and the object distance, by the Gauss equation 1/f = 1/p + 1/p′. Also indicates whether the image is real or virtual. Use positive focal length for converging lenses and negative for diverging.
Spherical Mirror (Equation)
Compute the image position in a spherical mirror (concave or convex) from the focal length and object distance, by the conjugate-points equation 1/f = 1/p + 1/p′. The focal length is half the radius of curvature. Indicates if the image is real or virtual.
Diopter (Lens Power)
Convert a lens's focal length (in centimeters) into its power in diopters (D = 1/f, with f in meters), the number on an eyeglass prescription. Converging lenses have positive power; diverging, negative. For example, a 50 cm focal lens is +2.0 diopters.
Linear Image Magnification
Compute the transverse linear magnification of an optical image from the object and image distances (A = −p′/p) or the heights. The sign indicates orientation: negative for inverted, positive for upright; the magnitude, whether the image is larger or smaller than the object.
Critical Angle (Total Internal Reflection)
Compute the critical angle for total internal reflection between two media, θc = arcsin(n₂/n₁), valid when light goes from a more refractive to a less refractive medium (n₁ > n₂). Above this angle, all light is reflected — the principle of optical fibers.
Electric Power
Compute electric power from voltage and current (P = V·I), also showing resistance (R = V/I) and energy consumed. Essential for sizing circuits, power supplies and the electricity bill. Enter the voltage (V) and the current (A).
Reactance (Capacitive and Inductive)
Compute the reactance of a capacitor (Xc = 1/(2πfC)) or an inductor (Xl = 2πfL) as a function of frequency. Reactance is the opposition these components offer to alternating current, measured in ohms. Choose the type, the frequency and the component value.
Real Gas (Van der Waals Equation)
Compute the pressure of a real gas by the Van der Waals equation, (P + a·n²/V²)(V − n·b) = nRT, which corrects the ideal gas law for the molecules' volume (b) and the attractive forces between them (a). More accurate at high pressures and low temperatures.
Cell Potential (Electrochemistry)
Compute a cell's electromotive force (emf) from the standard reduction potentials of the cathode and anode: E°cell = E°cathode − E°anode. A positive value indicates a spontaneous reaction. For example, the Daniell cell (Cu/Zn) generates 1.10 V.
Torricelli's Equation
Compute the final velocity of uniformly accelerated motion without needing the time, by Torricelli's equation v² = v₀² + 2·a·Δs. Useful in free fall, braking and launches. Enter the initial velocity, the acceleration and the displacement.
Linear Thermal Expansion
Compute the change in a body's length when its temperature changes, by linear expansion ΔL = L₀·α·ΔT, where α is the material's expansion coefficient. Enter the initial length, the coefficient and the temperature change to get the expansion and final length.
Volumetric Thermal Expansion
Compute the change in a body's volume when heated or cooled, by volumetric expansion ΔV = V₀·γ·ΔT, where γ is the volumetric expansion coefficient (equal to 3α). Enter the initial volume, the coefficient and the temperature change.
First Law of Thermodynamics
Compute the change in a gas's internal energy by the first law of thermodynamics, ΔU = Q − W, where Q is the heat exchanged and W the work done by the gas. Enter two values to find the third. The basis of energy conservation in thermal systems.
Simple Pendulum Period
Compute a simple pendulum's oscillation period by T = 2π·√(L/g), valid for small amplitudes. The period depends only on the string length and gravity, not on the mass or amplitude. Enter the length and the local gravity.
Mass-Spring System Period
Compute a mass-spring system's oscillation period by T = 2π·√(m/k), where m is the mass and k the spring constant. It is simple harmonic motion whose period grows with mass and shrinks with spring stiffness. Enter the mass and the constant.
Photoelectric Effect
Compute the maximum kinetic energy of electrons emitted in the photoelectric effect, E = h·f − Φ, where h·f is the photon energy and Φ the metal's work function. If the photon energy is below Φ, no emission occurs. Enter the light frequency and the work function (in eV).
Wave Beat Frequency
Compute the beat frequency produced by the superposition of two waves of nearby frequencies: f_beat = |f₁ − f₂|. The beat is the periodic intensity variation you hear, used to tune musical instruments. Enter the two frequencies.
Latent Heat (Phase Change)
Compute the heat needed for a phase change (melting, vaporization) by Q = m·L, where L is the substance's latent heat. During the phase change, the temperature stays constant. Enter the mass and the latent heat.
Thermal Equilibrium (Calorimetry)
Compute the final equilibrium temperature when mixing two bodies of different temperatures, by calorimetry's energy conservation: the heat released by one equals the heat absorbed by the other. Enter the mass, specific heat and temperature of each body.
Heat Capacity
Compute a body's heat capacity (C = m·c, mass × specific heat), which tells how much heat it needs to change by 1 °C, and the total heat Q = C·ΔT for a given temperature change. Enter the mass, the specific heat and, optionally, the temperature change.
1D Elastic Collision
Compute the final velocities of two bodies after a head-on (1D) elastic collision, where both linear momentum and kinetic energy are conserved: v₁' = ((m₁−m₂)v₁ + 2m₂v₂)/(m₁+m₂) and v₂' = ((m₂−m₁)v₂ + 2m₁v₁)/(m₁+m₂). Enter the masses and initial velocities.
Centripetal Force
Compute the centripetal force that keeps a body in circular motion, Fc = m·v²/r, always directed toward the center of the path. It is the net force that bends the motion — tire friction, string tension, planetary gravity. Enter the mass, the speed and the radius.
Centripetal Acceleration
Compute the centripetal acceleration of a body in uniform circular motion, a = v²/r, always pointing toward the center of the curve. Even at constant speed there is acceleration, because the direction of motion changes continuously. Enter the speed and the radius.
Hooke's Law (Spring Force)
Compute a spring's elastic force by Hooke's Law, F = k·x, where k is the spring constant and x the deformation (stretch or compression). The force is restoring — always opposing the deformation. It is the basis of force gauges, suspensions and harmonic motion. Enter the spring constant and the deformation.
Elastic Potential Energy
Compute the elastic potential energy stored in a deformed spring, U = ½·k·x², where k is the spring constant and x the deformation. It is the energy a compressed or stretched spring can return, converting into kinetic energy. Enter the spring constant and the deformation.
Newton's Second Law (F = m·a)
Compute the net force, the mass or the acceleration by Newton's Second Law, F = m·a — the fundamental principle of dynamics relating the force applied to a body and the acceleration it gains. Enter two of the three values to find the third.
Gravitational Force (Universal Gravitation)
Compute the gravitational attraction between two bodies by Newton's Law of Universal Gravitation, F = G·m₁·m₂/r², where G = 6.674×10⁻¹¹ N·m²/kg². It is the force that keeps planets in orbit and holds us to Earth. Enter the two masses and the distance between their centers.
Inclined Plane (frictionless)
Compute the forces acting on a body on a frictionless inclined plane: the weight component along the ramp (F∥ = m·g·sin θ), the normal force (N = m·g·cos θ) and the sliding acceleration (a = g·sin θ). Enter the mass, the incline angle and gravity.
Friction Force
Compute the friction force between two surfaces by F_fric = μ·N, where μ is the friction coefficient (static or kinetic) and N the normal force. It is the force that opposes motion and lets us walk, brake and grip objects. Enter the friction coefficient and the normal force.
Bohr Energy Levels (Hydrogen)
Compute the energy of an electron level in the hydrogen atom by the Bohr model, Eₙ = −13.6/n² eV, where n is the principal quantum number. The energy is negative (bound electron) and grows toward zero (ionization) as n increases. Enter the quantum number n to get the level's energy.
Rotational Kinetic Energy
Compute the rotational kinetic energy of a rigid body by E = ½·I·ω², where I is the moment of inertia and ω the angular velocity. It is the energy of spinning — analogous to translational ½·m·v², with rotational inertia in place of mass. Enter the moment of inertia and the angular velocity.
Impulse (J = F·Δt)
Compute the impulse of a force by J = F·Δt, equal to the change in momentum (J = Δp) by the impulse-momentum theorem. It is what changes a body's momentum: a force applied over a time interval. It explains why airbags and bent knees soften an impact (more time, less force). Enter the force and the time interval.
Law of the Lever
Compute the force or arm needed to balance a lever by the moment-equilibrium condition F₁·d₁ = F₂·d₂. It is Archimedes' principle — a small force on a long arm balances a large force on a short arm. Enter the force and arm on one side and the arm on the other to get the balancing force.
Refrigeration COP
Compute the coefficient of performance (COP) of a refrigerator or air conditioner by COP = Qc/W, the ratio of heat removed from the cold reservoir (Qc) to the work consumed (W). The higher the COP, the more efficient — a good air conditioner has a COP of 3 to 5, moving several times more heat than the electricity it uses. Enter the heat removed and the work.
Nuclear Binding Energy
Compute a nucleus's binding energy from the mass defect by Einstein's relation E = Δm·c², using 1 u = 931.5 MeV. It is the energy holding protons and neutrons together — the same released in fission and fusion. Enter the mass defect (in u) and, optionally, the nucleon number to get the energy per nucleon.
Current Divider
Compute how an electric current splits between two parallel resistors by the current-divider rule: I₁ = I·R₂/(R₁+R₂). Current prefers the path of least resistance, so the smaller resistor takes the larger share. Enter the total current and the two resistors to get the current in each branch.
Wheatstone Bridge
Compute the unknown resistance in a balanced Wheatstone bridge, when no current flows through the galvanometer: Rx = R₂·R₃/R₁. It is the classic circuit for measuring resistance with high precision, the basis of strain gauges and electronic scales. Enter the three known resistances to get the fourth.
Heat Engine Efficiency
Compute the efficiency of a heat engine as the ratio of useful work to heat absorbed from the hot reservoir: η = 1 − Qc/Qh, where Qh is the heat absorbed and Qc the heat rejected to the cold reservoir. No real engine reaches 100% (2nd law of thermodynamics). Enter the hot and cold heats to get the efficiency and the work.
RMS Speed of a Gas
Compute the root-mean-square (RMS) speed of ideal-gas molecules from kinetic theory, v_rms = √(3RT/M), where R = 8.314 J/(mol·K), T is the absolute temperature and M the molar mass (kg/mol). The lighter the molecule and the hotter the gas, the faster it moves. Enter the temperature and the molar mass.
Parallel-Plate Capacitor
Compute the capacitance of a parallel-plate capacitor from its geometry: C = ε₀·εr·A/d, where ε₀ = 8.854×10⁻¹² F/m, εr is the dielectric's relative permittivity, A the plate area and d their separation. Larger area and smaller gap increase capacitance. Enter the area, the gap and the relative permittivity.
Continuity Equation
Compute a fluid's speed as a pipe's cross-section changes, by the continuity equation A₁·v₁ = A₂·v₂, which expresses conservation of flow rate in incompressible flow. Where the pipe narrows the fluid speeds up; where it widens it slows down. Enter the area and speed at the first section and the area at the second to get the resulting speed.
Bernoulli's Equation
Compute a fluid's pressure at a point in a flow by Bernoulli's equation, P + ½·ρ·v² + ρ·g·h = constant, relating pressure, speed and height along a streamline. It explains wing lift and the Venturi effect. Enter the pressure, speed and height at one point, the density, and the speed and height at the other point.
Poiseuille's Law (Flow Rate)
Compute the flow rate of a viscous fluid in a cylindrical tube by Poiseuille's Law, Q = π·r⁴·ΔP/(8·η·L), where r is the radius, ΔP the pressure difference, η the viscosity and L the length. Flow depends on the fourth power of the radius — doubling it multiplies flow by 16. Key in hemodynamics and piping. Enter the radius, pressure difference, viscosity and length.
Hydraulic Press
Compute the force multiplied by a hydraulic press via Pascal's Principle: F₂ = F₁·A₂/A₁. Since pressure transmits equally through the fluid, a larger-area piston produces a proportionally larger force — like a hydraulic lever that lifts cars with little effort. Enter the force and area of the smaller piston and the area of the larger piston.
Efflux Velocity (Torricelli)
Compute the speed at which a liquid jets from an orifice at the base of a container by Torricelli's theorem, v = √(2·g·h), where h is the height of the liquid column above the hole. The speed equals that of free fall from height h — the fuller the reservoir, the faster the jet. Enter the column height and gravity.
Gauge and Absolute Pressure
Compute the gauge pressure (P = ρ·g·h) exerted by a liquid column and the absolute pressure (P_abs = P_atm + ρ·g·h) by adding atmospheric pressure. Gauge pressure is the reading above atmospheric that manometers show; absolute is the true total pressure. Enter the liquid density, the depth and the atmospheric pressure.
Magnetic Force on a Conductor
Compute the magnetic force on a current-carrying wire in a magnetic field, F = B·I·L·sin θ, where B is the field, I the current, L the length and θ the angle between wire and field. It is the force that turns electric motors. Enter the magnetic field, the current, the length and the angle.
Magnetic Field of a Solenoid
Compute the magnetic field inside a solenoid (long coil) by B = μ₀·n·I, where μ₀ = 4π×10⁻⁷ T·m/A, n = N/L is the turns per meter and I the current. The field is nearly uniform inside the coil and proportional to the turn density. Enter the number of turns, the length and the current.
Magnetic Field of a Straight Wire
Compute the magnetic field produced by a long straight current-carrying wire, B = μ₀·I/(2π·r), where μ₀ = 4π×10⁻⁷ T·m/A, I is the current and r the distance from the wire. The field forms concentric circles around the wire and falls off with distance. Enter the current and the distance.
Force Between Parallel Wires
Compute the force per unit length between two parallel current-carrying wires, F/L = μ₀·I₁·I₂/(2π·d), where μ₀ = 4π×10⁻⁷ T·m/A and d is their separation. Currents in the same direction attract; opposite directions repel. It was the basis of the old definition of the ampere. Enter the two currents and the distance.
Double-Slit Interference (Young)
Compute the fringe spacing in Young's double-slit experiment, Δy = λ·L/d, where λ is the light's wavelength, L the distance to the screen and d the slit separation. It was the classic proof of light's wave nature. Enter the wavelength, the distance to the screen and the slit separation.
Diffraction Grating
Compute the diffraction angle of a maximum in a grating by d·sin θ = m·λ, where d is the groove spacing, λ the wavelength, m the order and θ the angle. Diffraction gratings split light into its component colors and are the heart of spectrometers. Enter the grating spacing, the wavelength and the order.
Single-Slit Diffraction
Compute the angle of the diffraction minima from a single slit, by a·sin θ = m·λ, where a is the slit width, λ the wavelength and m the order of the minimum. The narrower the slit, the more the light spreads — the pattern has a wide central maximum between dark fringes. Enter the slit width, the wavelength and the order.
Malus's Law (Polarization)
Compute the light intensity transmitted by a polarizer using Malus's Law, I = I₀·cos²θ, where I₀ is the incident (already polarized) intensity and θ the angle between the polarizer axis and the light's polarization. At 90° light is fully blocked; at 0° it passes entirely. It is the principle of polarized sunglasses and LCDs. Enter the initial intensity and the angle.
Rayleigh Criterion (Resolution)
Compute the angular resolution limit of an optical instrument by the Rayleigh Criterion, θ = 1.22·λ/D, where λ is the wavelength and D the aperture diameter (lens, pupil or mirror). It is the smallest angle between two points that can still be told apart — the larger the aperture, the better the resolution. It sets the power of telescopes and microscopes. Enter the wavelength and the aperture diameter.
Motional EMF in a Conducting Bar
Compute the electromotive force (EMF) induced in a conducting bar moving through a magnetic field, ε = B·L·v, where B is the field, L the bar length and v its speed. It is motional EMF — the basis of electric generators, which turn mechanical energy into electrical. Enter the magnetic field, the length and the speed.
EMF from Flux Change (Faraday)
Compute the average EMF induced in a coil by Faraday's Law, ε = N·ΔΦ/Δt, where N is the number of turns, ΔΦ the change in magnetic flux and Δt the time interval. Lenz's Law gives the direction (opposing the change). It is the principle of transformers and electric guitars. Enter the number of turns, the flux change and the time interval.
Inductance of a Solenoid
Compute the inductance of a solenoid by L = μ₀·N²·A/l, where μ₀ = 4π×10⁻⁷ T·m/A, N is the number of turns, A the cross-sectional area and l the length. Inductance grows with the square of the number of turns and measures the coil's opposition to changes in current. Enter the number of turns, the area and the length.
Cyclotron Frequency
Compute the cyclotron frequency of a charged particle in a magnetic field, f = q·B/(2π·m), where q is the charge, B the field and m the mass. It is the frequency at which the particle orbits in its circular path — remarkably independent of speed and radius. It is the basis of cyclotron accelerators and cyclotron resonance. Enter the charge, the magnetic field and the mass.
Relativistic Momentum
Compute the relativistic momentum of a particle, p = γ·m·v, where γ = 1/√(1−v²/c²) is the Lorentz factor and c = 3×10⁸ m/s the speed of light. Near light speed the momentum grows far beyond the classical m·v, tending to infinity as v → c. Enter the rest mass and the speed.
Normal Stress (σ = F/A)
Compute the normal stress in a bar under axial force, σ = F/A, where F is the force and A the cross-sectional area. It is the fundamental quantity of strength of materials — how hard the material is being worked internally, in pascals (Pa). Tension if the force pulls, compression if it pushes. Enter the force and the cross-sectional area.
Strain (ε = ΔL/L₀)
Compute the strain (specific deformation) of a material, ε = ΔL/L₀, the ratio of length change to original length. It is dimensionless (m/m) and often expressed as a percentage. It measures how much the material stretched or shortened relative to its size. Enter the length change and the original length.
Young's Modulus (Elasticity)
Compute a material's Young's modulus (modulus of elasticity) by Hooke's Law, E = σ/ε, the ratio of stress to strain in the elastic region. It measures stiffness — the higher E, the less it deforms under the same stress (steel is ~200 GPa). Enter the stress and the strain.
Shear Modulus (G)
Compute the shear modulus (modulus of rigidity) of an isotropic material by G = E/(2·(1+ν)), where E is Young's modulus and ν Poisson's ratio. It measures the material's resistance to shear (torsion) deformation. Enter Young's modulus and Poisson's ratio.
Torsion Stress in a Circular Shaft
Compute the maximum shear stress at the surface of a solid circular shaft under torsion, τ_max = 16·T/(π·d³), where T is the torque and d the diameter. It is essential in designing drive shafts, propellers and bolts. The larger the diameter, the much smaller the stress (it scales with d³). Enter the torque and the shaft diameter.
Section Modulus
Compute the section modulus (W = b·h²/6) of a rectangular section, used to size beams in bending. It relates the bending moment to the maximum stress (σ = M/W) — the larger W, the more the beam resists bending without failing. The height is squared, so tall beams are far stronger. Enter the base and the height of the section.
Axial Elongation (δ = PL/AE)
Compute the elongation of a bar under axial load, δ = P·L/(A·E), where P is the force, L the length, A the cross-section area and E the modulus of elasticity. It combines Hooke's Law with geometry — long, thin bars of flexible material stretch more. Enter the load, the length, the cross-section area and the modulus of elasticity.
Thermal Stress
Compute the thermal stress that arises in a bar prevented from expanding when its temperature changes, σ = E·α·ΔT, where E is the modulus of elasticity, α the expansion coefficient and ΔT the temperature change. This is why bridges and rails have expansion joints — without them, huge stresses would build up. Enter the modulus, the expansion coefficient and the temperature change.
Cylindrical Pressure Vessel Stress
Compute the stresses in a thin-walled cylindrical pressure vessel: the hoop (circumferential) stress σ_c = p·r/t and the longitudinal σ_l = p·r/(2·t), where p is internal pressure, r the radius and t the wall thickness. The hoop stress is twice the longitudinal — which is why pipes and boilers split along a straight line. Enter the pressure, the radius and the thickness.
Spherical Pressure Vessel Stress
Compute the stress in a thin-walled spherical pressure vessel, σ = p·r/(2·t), where p is internal pressure, r the radius and t the thickness. The sphere spreads stress equally in all directions, the most efficient shape for containing pressure — half the stress of a cylinder of the same radius. That is why high-pressure gas tanks are spherical. Enter the pressure, the radius and the thickness.
Otto Cycle Efficiency
Compute the ideal thermal efficiency of the Otto cycle (gasoline engines), η = 1 − 1/r^(γ−1), where r is the compression ratio and γ the specific-heat ratio (≈1.4 for air). Higher compression improves efficiency — which is why modern engines use high ratios, limited by fuel knock. Enter the compression ratio and γ.
Diesel Cycle Efficiency
Compute the ideal thermal efficiency of the Diesel cycle, η = 1 − (1/r^(γ−1))·((rc^γ − 1)/(γ·(rc − 1))), where r is the compression ratio, rc the cutoff ratio and γ the specific-heat ratio. Diesel engines run at high compression ratios, reaching efficiencies above the Otto cycle. Enter the compression ratio, the cutoff ratio and γ.
Brayton Cycle Efficiency
Compute the ideal thermal efficiency of the Brayton cycle (gas turbines and jet engines), η = 1 − 1/rp^((γ−1)/γ), where rp is the compressor pressure ratio and γ the specific-heat ratio. The higher the pressure ratio, the higher the efficiency — the principle of aircraft turbines and gas-fired power plants. Enter the pressure ratio and γ.
Heat Conduction (Fourier's Law)
Compute the heat transfer rate by conduction through a flat wall by Fourier's Law, Q = k·A·ΔT/L, where k is the material's thermal conductivity, A the area, ΔT the temperature difference and L the thickness. It is the basis for sizing thermal insulation. Enter the conductivity, the area, the temperature difference and the thickness.
Convection (Newton's Law of Cooling)
Compute the heat transfer rate by convection via Newton's Law of Cooling, Q = h·A·ΔT, where h is the convection coefficient, A the exchange area and ΔT the temperature difference between surface and fluid. It describes the cooling of heat sinks, radiators and the body in wind. Enter the convection coefficient, the area and the temperature difference.
Nusselt Number
Compute the Nusselt number, Nu = h·L/k, the ratio of convective to conductive heat transfer in a fluid, where h is the convection coefficient, L the characteristic length and k the fluid conductivity. Nu = 1 means pure conduction; larger values mean convection dominates. Enter the convection coefficient, the characteristic length and the fluid conductivity.
Prandtl Number
Compute the Prandtl number, Pr = μ·cp/k, the ratio of momentum diffusivity (viscosity) to thermal diffusivity of a fluid, where μ is the dynamic viscosity, cp the specific heat and k the thermal conductivity. It characterizes fluids: air ≈ 0.7, water ≈ 7, oils hundreds. Enter the dynamic viscosity, the specific heat and the thermal conductivity.
Biot Number
Compute the Biot number, Bi = h·Lc/k, the ratio of internal conduction resistance to surface convection resistance of a solid, where h is the convection coefficient, Lc the characteristic length and k the solid's conductivity. Bi < 0.1 means the body can be treated as having uniform temperature (lumped capacitance). Enter the convection coefficient, the characteristic length and the solid's conductivity.
Log Mean Temperature Difference (LMTD)
Compute the log mean temperature difference (LMTD) used to size heat exchangers, ΔT_lm = (ΔT₁ − ΔT₂)/ln(ΔT₁/ΔT₂), where ΔT₁ and ΔT₂ are the temperature differences at the two ends. It is the correct mean (not the arithmetic) for the gradient that varies along the exchanger. Enter the two temperature differences.
Fourier Number
Compute the Fourier number, Fo = α·t/Lc², a dimensionless time governing transient heat conduction, where α is the thermal diffusivity, t the time and Lc the characteristic length. Larger values mean heat has penetrated deeper; Fo > 0.2 allows one-term simplified solutions. Enter the thermal diffusivity, the time and the characteristic length.
Manning Velocity (Open Channel)
Compute the flow velocity in an open channel by the Manning formula, V = (1/n)·R^(2/3)·S^(1/2), where n is the Manning roughness coefficient, R the hydraulic radius and S the channel slope. It is the classic equation for sizing channels, ditches and storm drains. Enter the Manning coefficient, the hydraulic radius and the slope.
Hydraulic Radius
Compute the hydraulic radius of a flow section, R = A/P, the ratio of wetted area to wetted perimeter. It is a fundamental geometric parameter of channel and conduit hydraulics, used in the Manning and head-loss formulas. The larger the hydraulic radius, the more efficient the flow. Enter the wetted area and the wetted perimeter.
Water Hammer (Joukowsky)
Compute the overpressure from water hammer (hydraulic transient) when flow is stopped abruptly, by the Joukowsky equation Δp = ρ·a·Δv, where ρ is the fluid density, a the pressure-wave speed and Δv the change in flow velocity. Closing a valve too fast can burst pipes. Enter the density, the wave celerity and the velocity change.
Rectangular Weir Flow
Compute the flow over a thin-plate rectangular weir, Q = (2/3)·Cd·√(2g)·L·H^(3/2), where Cd is the discharge coefficient, L the crest width and H the head of water. Weirs are used to measure flow in channels and control reservoir levels. Enter the width, the head and the discharge coefficient.
Critical Channel Velocity
Compute the critical flow velocity in a rectangular channel, Vc = √(g·y), where g is gravity and y the depth. It is the velocity at which the Froude number equals 1, separating subcritical (slow, fluvial) from supercritical (fast, torrential) flow. It underpins the design of flumes and hydraulic jumps. Enter the depth and gravity.
Hydraulic Power
Compute the available or generated hydraulic power, P = ρ·g·Q·H·η, where ρ is water density, g gravity, Q the flow rate, H the head (drop or lift) and η the efficiency. It is the central formula for hydroelectric plants and pump sizing. Enter the flow rate, the head and the efficiency.
Sound Level Addition (dB)
Add two sound levels in decibels by the logarithmic combination of intensities, L = 10·log₁₀(10^(L₁/10) + 10^(L₂/10)). Decibels do not add arithmetically: two equal sources raise the level by only 3 dB, not double it. It is essential in noise control and environmental acoustics. Enter the two sound levels.
Sound Intensity Level
Compute the sound intensity level in decibels, SIL = 10·log₁₀(I/I₀), where I is the sound intensity and I₀ = 10⁻¹² W/m² the hearing threshold. The logarithmic scale compresses the vast range of human hearing: each 10 dB is 10× more intensity. Enter the sound intensity.
Sound Attenuation with Distance
Compute how a point source's sound level drops with distance, L₂ = L₁ − 20·log₁₀(d₂/d₁), by the inverse-square law. Each time the distance doubles, the level falls 6 dB. It is the basis of environmental and event noise planning. Enter the level at the reference distance, the reference distance and the new distance.
Helmholtz Resonator
Compute the resonant frequency of a Helmholtz resonator (a cavity with a neck, like a bottle), f = (c/2π)·√(A/(V·L)), where c is the speed of sound, A the neck area, V the cavity volume and L the neck length. It is the principle of ported (bass-reflex) loudspeakers and acoustic absorbers. Enter the neck area, the cavity volume and the neck length.
Three-Phase Power
Compute the active power of a balanced three-phase system, P = √3·V·I·cos φ, where V is the line voltage, I the line current and cos φ the power factor. It is the central formula for sizing industrial installations and three-phase motors. Enter the line voltage, the current and the power factor.
Apparent Power (Power Triangle)
Compute the apparent power S = √(P² + Q²) from active power P (W) and reactive power Q (VAr), plus the power factor cos φ = P/S. Apparent power (in VA) sizes transformers and cables, since it includes the reactive part that does no work. Enter the active and reactive power.
Power Factor Correction
Compute the reactive power of the capacitor bank needed to correct an installation's power factor, Qc = P·(tan φ₁ − tan φ₂), where P is the active power, φ₁ the current angle and φ₂ the target. Correcting PF avoids utility penalties and reduces losses. Enter the active power, the current power factor and the target.
Motor Synchronous Speed
Compute the synchronous speed of an induction motor, ns = 120·f/p, where f is the line frequency (Hz) and p the number of poles. It is the speed of the rotating magnetic field; the rotor turns slightly below it (slip). It sets the base speed of three-phase motors: 2 poles at 60 Hz = 3600 rpm. Enter the frequency and the number of poles.
Motor Slip
Compute the slip of an induction motor, s = (ns − n)/ns × 100%, the percentage difference between synchronous speed ns and the actual rotor speed n. Slip is what induces rotor current and generates torque — typical motors run at 2% to 6%. Enter the synchronous speed and the rotor speed.
Motor Torque
Compute the torque of an electric motor, T = 9550·P/n, where P is the power in kW, n the speed in rpm and T the torque in N·m. The constant 9550 converts the units. It is essential to check whether the motor overcomes the mechanical load at start and in steady state. Enter the power in kW and the speed in rpm.
Electric Motor Efficiency
Compute an electric motor's efficiency, η = (P_out/P_in) × 100%, the ratio of mechanical shaft power delivered to electrical power consumed. The difference becomes heat (copper, iron and mechanical losses). High-efficiency (IE3) motors save energy. Enter the output power and the input power.
Three-Phase Motor Rated Current
Compute the rated current of a three-phase motor, I = P/(√3·V·cos φ·η), where P is the mechanical output power, V the line voltage, cos φ the power factor and η the efficiency. It is the basis for sizing breakers, contactors and motor cables. Enter the output power, the voltage, the power factor and the efficiency.
Joule Heating Loss
Compute the power dissipated by Joule heating in a conductor or resistance, P = R·I², where R is the resistance and I the current. It is the energy lost as heat in cables, motors and transformers — it grows with the square of the current, which is why power transmission uses high voltage (and low current). Enter the resistance and the current.
Voltage Regulation
Compute the voltage regulation of a transformer or line, Reg = (V_noload − V_load)/V_load × 100%, the percentage change in output voltage between no-load and full-load operation. The lower the regulation, the more stable the supplied voltage. Enter the no-load voltage and the full-load voltage.
Rankine Earth Pressure (Coefficients)
Compute Rankine's earth-pressure coefficients: active Ka = tan²(45° − φ/2) and passive Kp = tan²(45° + φ/2), where φ is the soil's internal friction angle. Active pressure is what the soil exerts on a retaining wall; passive is the resistance it offers. They are the basis for designing retaining walls. Enter the soil's internal friction angle.
At-Rest Earth Pressure (K₀)
Compute the at-rest earth-pressure coefficient by Jaky's formula, K₀ = 1 − sin φ, where φ is the soil's internal friction angle. It represents the horizontal stress when the soil undergoes no lateral deformation (at-rest condition), between the active and passive states. Enter the internal friction angle.
Effective Stress (Terzaghi)
Compute the soil's vertical effective stress by Terzaghi's principle, σ' = σ − u, where σ is the total stress and u the pore pressure (water pressure in the voids). Effective stress is the part carried by grain-to-grain contact — it governs the soil's strength and settlement. Enter the total stress and the pore pressure.
Soil Porosity
Compute a soil's porosity from the void ratio, n = e/(1 + e) × 100%, where e is the void ratio (ratio of void volume to solids volume). Porosity is the fraction of total volume occupied by voids (water + air). Enter the void ratio.
Soil Degree of Saturation
Compute a soil's degree of saturation from the phase relation, S = (Gs·w/e) × 100%, where Gs is the specific gravity of grains, w the water content (decimal) and e the void ratio. S = 100% means saturated soil (voids full of water); S = 0%, dry soil. Enter the specific gravity, the water content and the void ratio.
Soil Unit Weight (Bulk)
Compute a soil's natural (bulk) unit weight from the phase relation, γ = Gs·(1 + w)/(1 + e)·γw, where Gs is the specific gravity of grains, w the water content (decimal), e the void ratio and γw = 9.81 kN/m³ the unit weight of water. It is the basis for computing geostatic stresses. Enter the specific gravity, the water content and the void ratio.
Soil Void Ratio
Compute a soil's void ratio from the dry unit weight, e = (Gs·γw/γd) − 1, where Gs is the specific gravity of grains, γw = 9.81 kN/m³ the unit weight of water and γd the soil's dry unit weight. The void ratio measures the ratio of void volume to solids volume. Enter the specific gravity and the dry unit weight.
Relative Density (Compactness)
Compute the relative density (relative compactness) of a granular soil, Dr = (e_max − e)/(e_max − e_min) × 100%, where e is the current void ratio and e_max, e_min the loosest and densest void ratios. Dr classifies sands: < 35% loose, > 65% dense. Enter the maximum, current and minimum void ratios.
Consolidation Settlement
Compute the primary consolidation settlement of a clay layer, ΔH = Cc·H/(1 + e₀)·log₁₀(σ'f/σ'₀), where Cc is the compression index, H the layer thickness, e₀ the initial void ratio, σ'₀ the initial effective stress and σ'f the final. It predicts how much a foundation will settle over time. Enter the compression index, the thickness, the initial void ratio and the initial and final stresses.
Darcy Flow (Seepage)
Compute the flow rate of water seeping through soil by Darcy's Law, Q = k·i·A, where k is the permeability coefficient, i the hydraulic gradient and A the cross-sectional area. It is the basis for studying water flow in dams, drains and water tables. Enter the permeability, the hydraulic gradient and the area.
Plasticity Index (Atterberg)
Compute a soil's plasticity index from the Atterberg limits, PI = LL − PL, where LL is the liquid limit and PL the plastic limit. PI measures the moisture range over which the soil stays plastic (moldable) — clayey soils have a high PI, sandy ones low. It is the basis for classifying and understanding clay behavior. Enter the liquid limit and the plastic limit.
Consistency Index
Compute the consistency index of a clayey soil, CI = (LL − w)/PI, where LL is the liquid limit, w the natural water content and PI the plasticity index. It indicates the consistency state: CI > 1 (stiff/hard), near 0 (soft/fluid). It is essential in assessing the bearing capacity of clays. Enter the liquid limit, the water content and the plasticity index.
Liquidity Index
Compute a soil's liquidity index, LI = (w − PL)/PI, where w is the natural water content, PL the plastic limit and PI the plasticity index. Complementary to the consistency index (CI + LI = 1), it indicates how close the soil is to the liquid state: LI near 1 signals soft, sensitive clay. Enter the water content, the plastic limit and the plasticity index.
Critical Hydraulic Gradient
Compute a soil's critical hydraulic gradient, ic = (Gs − 1)/(1 + e), where Gs is the specific gravity of grains and e the void ratio. It is the gradient at which effective stress vanishes and liquefaction (quicksand) or piping occurs under upward flow. Compared to the actual gradient, it gives the safety factor against internal erosion. Enter the specific gravity and the void ratio.
Infinite Slope Safety Factor
Compute the safety factor of an infinite slope in granular (cohesionless) soil, FS = tan φ/tan β, where φ is the internal friction angle and β the slope inclination. FS > 1 means stability. It shows why dry sands cannot form slopes steeper than their angle of repose (φ). Enter the friction angle and the slope angle.
Geostatic Vertical Stress
Compute the total geostatic vertical stress at a soil depth, σ = γ·z, where γ is the soil unit weight and z the depth. It is the stress due to the self-weight of the overlying layers — the starting point for any stress analysis in foundations and retaining structures. Enter the unit weight and the depth.
Consolidation Time
Compute the consolidation time of a soil layer, t = Tv·Hd²/Cv, where Tv is the time factor (dimensionless, a function of the degree of consolidation), Hd the longest drainage path and Cv the coefficient of consolidation. It predicts how long a clayey soil takes to settle a given percentage. Enter the time factor, the drainage height and the coefficient of consolidation.
Soil Water Content
Compute a soil's gravimetric water content, w = (Mw/Ms) × 100%, the ratio of water mass to dry-solids mass, determined in an oven. It is the most basic and most measured parameter in geotechnics, present in nearly every soil phase relation. Enter the water mass and the dry-solids mass.
Degree of Compaction
Compute the degree of compaction of a fill, DC = (γd/γd,max) × 100%, the ratio of the field dry unit weight to the maximum from the Proctor test. Standards require DC ≥ 95% (or 100%) to ensure the stability of fills and pavements. Enter the field dry unit weight and the maximum dry unit weight.
Seepage Velocity
Compute the real seepage velocity of water through soil voids, vs = (k·i)/n, where k is the permeability, i the hydraulic gradient and n the porosity. It is greater than the Darcy velocity (which assumes the full section), since water flows only through the voids. It matters in contaminant transport. Enter the permeability, the hydraulic gradient and the porosity.
Rational Method (Design Flow)
Compute the peak flow of a small drainage basin by the Rational Method, Q = C·i·A/360, where C is the runoff coefficient, i the rainfall intensity (mm/h), A the basin area (hectares) and Q the flow (m³/s). It is the most-used method for sizing culverts, gutters and urban storm drains. Enter the runoff coefficient, the rainfall intensity and the area.
Time of Concentration (Kirpich)
Compute a watershed's time of concentration by the Kirpich formula, tc = 0.0195·L^0.77·S^(−0.385), where L is the main channel length (m), S the average slope (m/m) and tc the time (min). It is the time water takes from the farthest point to the outlet — it sets the critical rainfall duration in the Rational Method. Enter the channel length and the slope.
Surface Runoff (SCS-CN)
Compute the surface runoff depth by the SCS Curve Number method, Q = (P − 0.2S)²/(P + 0.8S), with S = 25400/CN − 254, where P is rainfall (mm), CN the curve number (0–100, a function of soil and land use) and Q the runoff (mm). It is the standard method for estimating runoff in rural and urban basins. Enter the curve number CN and the rainfall.
Minimum Horizontal Curve Radius
Compute the minimum radius of a highway horizontal curve, Rmin = V²/(127·(e + f)), where V is the design speed (km/h), e the maximum superelevation and f the side friction factor. Below this radius the vehicle skids outward at the design speed. It is a central parameter of highway geometric design. Enter the speed, the superelevation and the friction factor.
Theoretical Superelevation
Compute the theoretical superelevation (cross slope) needed on a horizontal curve, e = V²/(127·R) − f, where V is the speed (km/h), R the curve radius (m) and f the side friction factor. Superelevation tilts the road toward the curve center, helping the centripetal force keep the vehicle on track. Enter the speed, the radius and the friction factor.
Stopping Sight Distance
Compute the stopping sight distance (SSD) on highways, SSD = 0.278·V·tr + V²/(254·f), adding the distance traveled during the reaction time (tr) to the braking distance, where V is the speed (km/h) and f the longitudinal friction factor. It ensures the driver sees an obstacle in time to stop. Enter the speed, the reaction time and the friction factor.
Degree of Horizontal Curve
Compute the degree of curve of a highway or railway horizontal curve, G = 1145.92/R, the central angle subtended by a 20-meter arc, where R is the radius (m). The smaller the radius, the larger the degree of curve (sharper curve). It is a traditional way of expressing curvature in geometric design. Enter the curve radius.
Vertical Curve Length
Compute the length of a vertical curve (grade transition) by L = K·|A|, where K is the curvature parameter (length per unit of grade change) and A the algebraic difference of grades (%). Vertical curves smooth the transition between stretches of different slopes, ensuring comfort and visibility. Enter the K parameter and the grade difference.
Transition (Spiral) Length
Compute the length of the transition curve (spiral / clothoid) between the tangent and the circular curve, by the empirical formula Ls = 0.036·V³/R, where V is the speed (km/h) and R the circular curve radius (m). The transition introduces superelevation and curvature gradually, avoiding lateral jerk. Enter the speed and the radius.
Traffic Flow
Compute the traffic flow (volume) by the fundamental equation q = k·v, where k is the density (vehicles/km), v the average speed (km/h) and q the flow (vehicles/h). It is the basic relation of traffic engineering, linking volume, density and speed on a road. Enter the density and the average speed.
Gear Module
Compute a gear's module, m = d/z, the ratio of pitch diameter (d) to number of teeth (z). The module (in mm) standardizes the tooth size — gears only mesh if they share the same module. It is the starting point of any gear design. Enter the pitch diameter and the number of teeth.
Peripheral Velocity
Compute the peripheral (tangential) velocity of a pulley or gear, v = π·d·n/60, where d is the diameter (m), n the speed (rpm) and v the velocity (m/s). It is the linear speed of a point on the rim — used to check operating limits of belts, grinding wheels and gears. Enter the diameter and the speed.
Center Distance (Gears)
Compute the center distance between two shafts with meshed external gears, C = m·(z₁ + z₂)/2, where m is the module and z₁, z₂ the tooth counts. It sets the reducer geometry and the mounting center distance. Enter the module and the tooth counts of the two gears.
Belt Drive (Pulleys)
Compute the driven pulley speed and the drive ratio in a belt-and-pulley system, n₂ = n₁·D₁/D₂ and i = D₂/D₁, where D₁, D₂ are the diameters and n₁, n₂ the speeds. The smaller pulley spins faster. It is the basis of V-belt and flat-belt drive design. Enter the driving pulley speed and diameter and the driven pulley diameter.
Belt Length
Compute the length of an open belt between two pulleys, L = 2C + π·(D₁ + D₂)/2 + (D₂ − D₁)²/(4C), where C is the center distance and D₁, D₂ the pulley diameters. It is the formula for selecting the correct commercial belt. Enter the center distance and the smaller and larger pulley diameters.
Tangential Force (Power)
Compute the tangential force transmitted by a gear or pulley from the power, Ft = P/v, where P is the power (W) and v the peripheral velocity (m/s). It is the load that sizes gear teeth and belt tension. Enter the transmitted power and the peripheral velocity.
Bolt Tightening Torque
Compute the tightening torque needed to produce a preload force in a bolt, T = K·F·d, where K is the torque factor (≈0.2 for dry threads), F the clamping (preload) force and d the nominal diameter. It is the basis of controlled tightening of bolted joints. Enter the torque factor, the clamping force and the diameter.
Key Shear Stress
Compute the shear stress in a parallel key transmitting torque between shaft and hub, τ = 2·T/(d·b·L), where T is the torque, d the shaft diameter, b the width and L the key length. It is compared to the material's allowable stress to check the key. Enter the torque, the shaft diameter, the key width and the key length.
Belt Tension Ratio (Capstan)
Compute the ratio between the tensions in the two sides of a belt or rope wrapped around a drum, by the Euler-Eytelwein (capstan) equation, T₁/T₂ = e^(μ·θ), where μ is the friction coefficient and θ the wrap angle (in radians). It explains why a few rope turns around a post hold enormous loads. Enter the friction coefficient and the wrap angle (in degrees).
Flywheel Energy Fluctuation
Compute the energy fluctuation a flywheel absorbs, ΔE = Cs·I·ω², where Cs is the coefficient of speed fluctuation, I the moment of inertia and ω the mean angular velocity. The flywheel stores and returns energy to smooth torque variations in engines and presses. Enter the fluctuation coefficient, the moment of inertia and the angular velocity.
Damped Natural Frequency
Compute the damped natural frequency of a second-order system, ωd = ωn·√(1 − ζ²), where ωn is the undamped natural frequency and ζ the damping ratio. It is the actual oscillation frequency of the transient response (always lower than ωn). Enter the natural frequency and the damping ratio.
Maximum Overshoot
Compute the maximum overshoot of a second-order system's step response, Mp = e^(−ζ·π/√(1−ζ²)) × 100%, a function only of the damping ratio ζ. It shows how much the output exceeds the final value — the lower ζ, the larger the overshoot. It is a crucial design criterion in control. Enter the damping ratio.
Settling Time
Compute the settling time of a second-order system, ts ≈ 4/(ζ·ωn) for the 2% criterion, where ζ is the damping ratio and ωn the natural frequency. It is the time the response takes to enter and stay within a band around the final value. Enter the damping ratio and the natural frequency.
Peak Time
Compute the peak time of an underdamped second-order system, tp = π/(ωn·√(1−ζ²)), the instant the step response reaches the maximum overshoot. It depends on the natural frequency ωn and the damping ζ. Enter the natural frequency and the damping ratio.
Rise Time
Compute the rise time of an underdamped second-order system, tr = (π − arccos ζ)/(ωn·√(1−ζ²)), the time the response takes to go from 0 to 100% of the final value the first time. The higher ωn, the faster the response. Enter the natural frequency and the damping ratio.
Logarithmic Decrement
Compute the logarithmic decrement of an oscillatory system, δ = 2π·ζ/√(1−ζ²), the natural log of the ratio between two successive peaks of the free response. It is used experimentally to measure the damping of a structure or vibrating system. Enter the damping ratio.
Damping Ratio (from Overshoot)
Compute the damping ratio ζ from the measured maximum overshoot, ζ = −ln(Mp)/√(π² + ln²(Mp)), where Mp is the overshoot as a fraction (0–1). It is the inverse path: from a measured response, identify the system's damping. Enter the overshoot as a percentage.
Steady-State Error to a Step
Compute the steady-state error of a feedback control system to a step input, ess = 1/(1 + Kp), where Kp is the position error constant (the open-loop gain at low frequency). The higher the gain, the smaller the error. Enter the position error constant Kp.
Critical Damping Coefficient
Compute the critical damping coefficient of a mass-spring system, cc = 2·√(k·m), where k is the stiffness and m the mass. It is the damping value that brings the system to rest in the shortest time without oscillating — the boundary between underdamped and overdamped. Enter the stiffness and the mass.
Damping Ratio
Compute the damping ratio of a mass-spring-damper system, ζ = c/(2·√(k·m)), where c is the viscous damping coefficient, k the stiffness and m the mass. ζ < 1 is underdamped (oscillates), ζ = 1 critical, ζ > 1 overdamped. Enter the viscous damping, the stiffness and the mass.
Lift Force
Compute a wing's lift force, L = ½·ρ·v²·S·CL, where ρ is the air density, v the speed, S the wing area and CL the lift coefficient. It is the force that keeps the aircraft aloft, perpendicular to the flow. It grows with the square of speed. Enter the air density, the speed, the wing area and the lift coefficient.
Dynamic Pressure
Compute the dynamic pressure of a flow, q = ½·ρ·v², where ρ is the fluid density and v the speed. It is the pressure component associated with motion (kinetic energy per unit volume), appearing in Bernoulli's equation and nondimensionalizing aerodynamic forces. Enter the density and the speed.
Wing Loading
Compute an aircraft's wing loading, W/S, the ratio of weight (or mass) to wing area. It is a fundamental design parameter: low wing loading gives slow, maneuverable flight (gliders), high gives fast flight (fighters and jets). It influences stall speed and gust response. Enter the weight and the wing area.
Aerodynamic Efficiency (L/D)
Compute an aircraft's aerodynamic efficiency (glide ratio), L/D, the ratio of lift to drag. It measures how efficiently the wing generates lift with little drag — a glider exceeds 40, an airliner about 17. It is also the horizontal distance glided per unit of height lost. Enter the lift and the drag.
Friction Factor (Laminar Flow)
Compute the Darcy friction factor for laminar pipe flow, f = 64/Re, where Re is the Reynolds number (valid for Re < 2300). It is used in the Darcy-Weisbach equation to compute head loss in pipes. Enter the Reynolds number.
Mass Flow Rate
Compute a fluid's mass flow rate, ṁ = ρ·A·v, where ρ is the density, A the cross-section area and v the mean velocity. It is the mass crossing a section per unit time (kg/s), conserved along a flow (continuity equation). Enter the density, the cross-section area and the velocity.
Minor Head Loss
Compute the minor (local) head loss caused by fittings such as bends, valves and reducers, hL = K·v²/(2g), where K is the fitting's loss coefficient, v the velocity and g gravity. It adds to the major (distributed) loss in pipe sizing. Enter the loss coefficient K and the velocity.
Pitot Tube Velocity
Compute a flow velocity measured by a Pitot tube, v = √(2·Δp/ρ), where Δp is the dynamic pressure (difference between stagnation and static pressure) and ρ the fluid density. It is the principle of aircraft airspeed indicators and air flow meters. Enter the dynamic pressure and the density.
Rocket Thrust
Compute a rocket's thrust, F = ṁ·ve, where ṁ is the mass flow rate of ejected propellant and ve the exhaust velocity of the gases. It is a direct application of Newton's third law: the rocket is pushed forward by expelling mass backward. Enter the mass flow rate and the exhaust velocity.
Cavitation Number
Compute a flow's cavitation number, σ = (p − pv)/(½·ρ·v²), where p is the local pressure, pv the liquid's vapor pressure, ρ the density and v the velocity. When σ drops below a critical value, vapor bubbles form (cavitation) that damage pumps and propellers. Enter the pressure, the vapor pressure, the density and the velocity.
Reactor Space-Time (τ = V/Q)
Compute the space-time (ideal residence time) of a continuous chemical reactor, τ = V/Q, where V is the reactor volume and Q the volumetric feed rate. It is the mean time the fluid stays in the reactor and the central parameter for sizing CSTR and PFR reactors. Enter the reactor volume and the flow rate.
Space Velocity (SV = Q/V)
Compute a reactor's space velocity, SV = Q/V, the inverse of space-time — how many reactor volumes of feed are processed per unit time. It is common in catalytic reactors (GHSV, LHSV) to compare productivity. Enter the flow rate and the reactor volume.
CSTR Conversion (1st order)
Compute the conversion of a perfectly-mixed reactor (CSTR) for a first-order reaction, X = k·τ/(1 + k·τ), where k is the rate constant and τ the space-time. The CSTR operates at the (low) outlet concentration, requiring more volume than a PFR for the same conversion. Enter the rate constant and the space-time.
PFR Conversion (1st order)
Compute the conversion of a plug-flow reactor (PFR) for a first-order reaction, X = 1 − e^(−k·τ), where k is the rate constant and τ the space-time. The PFR is more efficient than the CSTR (higher conversion for the same volume), since concentration decays along the tube. Enter the rate constant and the space-time.
Reaction Half-Life (1st order)
Compute the half-life of a first-order reaction, t½ = ln(2)/k, where k is the rate constant. It is the time for the reactant concentration to fall by half — and, for first order, independent of the initial concentration. It applies to radioactive decay, drugs and many reactions. Enter the rate constant.
Batch Reactor Time (1st order)
Compute the time needed in a batch reactor to reach a given conversion for a first-order reaction, t = −ln(1 − X)/k, where X is the desired conversion and k the rate constant. It is the reaction time in a batch reactor (a tank that loads, reacts and discharges). Enter the desired conversion and the rate constant.
Vapor Pressure (Antoine Equation)
Compute a liquid's vapor pressure by the Antoine equation, log₁₀(P) = A − B/(C + T), where A, B, C are substance-specific constants and T the temperature. It is the standard empirical relation to estimate vapor pressure (and boiling point) of solvents and in distillation. Enter the A, B, C constants and the temperature.
Henry's Law (Gas Solubility)
Compute the concentration of a gas dissolved in a liquid by Henry's Law, C = kH·P, where kH is Henry's constant and P the gas partial pressure. It explains why soda loses gas when opened (pressure drop) and divers' decompression. Enter Henry's constant and the partial pressure.
Mixing Mass Balance
Compute the resulting concentration when two streams mix, C = (C₁·Q₁ + C₂·Q₂)/(Q₁ + Q₂), by mass balance, where C₁, C₂ are the concentrations and Q₁, Q₂ the flow rates of the streams. It is the basic blending and dilution operation in processes. Enter the concentrations and flow rates of the two streams.
Partition Coefficient (log P)
Compute the partition coefficient between two immiscible phases (typically octanol and water), P = C_org/C_aq, and its logarithm (log P), where C_org and C_aq are the solute's equilibrium concentrations in each phase. It measures a molecule's lipophilicity — fundamental in pharmacology and environmental studies. Enter the concentrations in the organic and aqueous phases.
Damköhler Number
Compute a reactor's Damköhler number, Da = k·τ, where k is the (first-order) rate constant and τ the space-time. It is the ratio of reaction rate to transport (flow) rate — Da ≫ 1 means transport-limited (high conversion), Da ≪ 1 means slow reaction. Enter the rate constant and the space-time.
Sherwood Number
Compute the Sherwood number, Sh = kc·L/D, the ratio of convective to diffusive mass transfer, where kc is the mass transfer coefficient, L the characteristic length and D the diffusivity. It is the mass-transfer analog of the Nusselt number. Enter the mass transfer coefficient, the characteristic length and the diffusivity.
Schmidt Number
Compute the Schmidt number, Sc = μ/(ρ·D), the ratio of momentum diffusivity (kinematic viscosity) to mass diffusivity of a fluid, where μ is the dynamic viscosity, ρ the density and D the mass diffusivity. It is the mass-transfer analog of the Prandtl number. Enter the viscosity, the density and the diffusivity.
Mass Péclet Number
Compute the mass-transfer Péclet number, Pe = v·L/D, the ratio of advective transport (flow) to diffusive, where v is the velocity, L the characteristic length and D the diffusivity. High Pe means flow-dominated transport; low Pe, diffusion-dominated. Enter the velocity, the characteristic length and the diffusivity.
Fick Diffusion (Flux)
Compute the steady-state diffusive flux by Fick's first law, J = D·(C₁ − C₂)/L, where D is the diffusivity, C₁ and C₂ the concentrations on the two faces and L the thickness. Mass diffuses from high to low concentration, proportional to the gradient. It is the basis of diffusion in membranes and materials. Enter the diffusivity, the concentrations and the thickness.
Relative Volatility
Compute the relative volatility between two components in distillation, α = K₁/K₂, where K₁ and K₂ are the equilibrium ratios (K-values) of the light and heavy components. It measures how easy the mixture is to separate by distillation: α near 1 means hard separation (many plates); large α, easy. Enter the K-values of the two components.
Minimum Number of Plates (Fenske)
Compute the minimum number of theoretical plates of a distillation column (at total reflux) by the Fenske equation, Nmin = ln[(xD/(1−xD))·((1−xW)/xW)]/ln(α), where xD is the light fraction in the distillate, xW in the bottoms and α the relative volatility. It is the lower bound on the number of stages. Enter the distillate purity, the bottoms purity and the relative volatility.
Vaporized Fraction (Flash Distillation)
Compute the vaporized fraction in a flash distillation by the lever rule, f = (zF − x)/(y − x), where zF is the feed composition, x the liquid and y the vapor in equilibrium. f is the ratio of vapor produced to feed. It is the instantaneous-vaporization operation (expansion valve). Enter the feed, liquid and vapor compositions.
Equilibrium Ratio (K-value)
Compute the equilibrium ratio (K-value) of a component in vapor-liquid equilibrium, K = y/x, where y is the vapor mole fraction and x the liquid mole fraction. K > 1 means the component tends to the vapor (light); K < 1, to the liquid (heavy). It is the basis of equilibrium calculations in distillation. Enter the vapor and liquid mole fractions.
Air Absolute Humidity
Compute the absolute humidity (humidity ratio) of moist air, W = 0.622·pv/(P − pv), where pv is the water vapor partial pressure and P the total pressure. It is the mass of vapor per mass of dry air (kg/kg), a central quantity of psychrometry and of sizing HVAC and drying systems. Enter the vapor partial pressure and the total pressure.
Cardiac Output
Compute cardiac output, CO = HR × SV, the volume of blood the heart pumps per minute, where HR is the heart rate (bpm) and SV the stroke volume (mL per beat). It is the central quantity of hemodynamics — a resting adult pumps about 5 L/min. Enter the heart rate and the stroke volume.
Mean Arterial Pressure (MAP)
Compute mean arterial pressure, MAP = DBP + (SBP − DBP)/3, where SBP is the systolic and DBP the diastolic pressure. Since the heart spends more time in diastole, the mean is weighted toward the diastolic. It is the organ perfusion pressure — values below 60 mmHg impair blood supply. Enter the systolic and diastolic pressures.
Pulse Pressure
Compute pulse pressure, PP = SBP − DBP, the difference between systolic and diastolic pressures. It reflects arterial stiffness and stroke volume — a widened pulse pressure (> 60 mmHg) suggests arterial stiffening; a narrowed one, low output. It is a simple, valuable cardiovascular indicator. Enter the systolic and diastolic pressures.
Systemic Vascular Resistance
Compute systemic vascular resistance, SVR = 80·(MAP − CVP)/CO, where MAP is mean arterial pressure, CVP central venous pressure and CO cardiac output; the factor 80 converts to dyn·s·cm⁻⁵. It is the resistance the heart overcomes to circulate blood — high in hypertension, low in sepsis. Enter the MAP, the CVP and the cardiac output.
Cardiac Index
Compute the cardiac index, CI = CO/BSA, the cardiac output normalized by body surface area (BSA), allowing comparison across people of different sizes. The normal value is 2.5 to 4 L/min/m²; below 2.2 indicates low output (cardiogenic shock). Enter the cardiac output and the body surface area.
Vascular Compliance
Compute vascular (or pulmonary) compliance, C = ΔV/ΔP, the change in volume per unit change in pressure. It measures the elasticity of vessels, the heart or the lungs — low compliance means stiffening (hardened arteries, fibrotic lung). Enter the volume change and the pressure change.
Wall Tension (Law of Laplace)
Compute the wall tension of a vessel or chamber by the Law of Laplace, T = P·r/(2·h), where P is the internal pressure, r the radius and h the wall thickness. It explains why aneurysms (larger radius) tend to rupture and why the ventricle hypertrophies (increases h) to reduce tension. Enter the pressure, the radius and the wall thickness.
Minute Ventilation
Compute minute ventilation, VE = TV × RR, the volume of air moving in and out of the lungs per minute, where TV is the tidal volume (mL per breath) and RR the respiratory rate (breaths/min). It is essential in mechanical ventilation and respiratory physiology — rest ~6 L/min. Enter the tidal volume and the respiratory rate.
Womersley Number
Compute the Womersley number, α = r·√(ω·ρ/μ), which characterizes pulsatile blood flow, where r is the vessel radius, ω the pulse angular frequency, ρ the density and μ the blood viscosity. Low α means a parabolic velocity profile (Poiseuille); high α, the flattened profile typical of large arteries. Enter the radius, the angular frequency, the density and the viscosity.
Vessel Wall Shear Stress
Compute the wall shear stress in a vessel for laminar (Poiseuille) flow, τ = 4·μ·Q/(π·r³), where μ is the blood viscosity, Q the flow rate and r the radius. It is the friction force of blood on the endothelium — key in vascular regulation and atherosclerosis formation in low-shear regions. Enter the viscosity, the flow rate and the radius.
PaO₂/FiO₂ Ratio (Oxygenation Index)
Compute the PaO₂/FiO₂ ratio, dividing the arterial oxygen partial pressure (PaO₂, mmHg) by the inspired oxygen fraction (FiO₂, decimal). It is the index that grades the severity of Acute Respiratory Distress Syndrome (ARDS): ≤ 300 mild, ≤ 200 moderate, ≤ 100 severe. Enter the PaO₂ and the FiO₂.
Alveolar-Arterial O₂ Gradient
Compute the alveolar-arterial oxygen gradient, A−a = [FiO₂·(Patm − PH₂O) − PaCO₂/R] − PaO₂, the difference between alveolar and arterial blood O₂ pressures. An increased gradient indicates a gas-exchange problem (shunt, V/Q mismatch). It uses Patm = 760, PH₂O = 47 mmHg and R = 0.8. Enter the FiO₂, the PaCO₂ and the PaO₂.
Arterial Oxygen Content (CaO₂)
Compute the arterial oxygen content, CaO₂ = 1.34·Hb·SaO₂ + 0.003·PaO₂, summing the O₂ bound to hemoglobin (the dominant part) and dissolved in plasma, where Hb is hemoglobin (g/dL), SaO₂ the saturation (decimal) and PaO₂ the partial pressure (mmHg). It is the basis of computing oxygen delivery to tissues. Enter the hemoglobin, the saturation and the PaO₂.
Dead Space (Bohr Equation)
Compute the dead-space fraction of ventilation by the Bohr equation, Vd/Vt = (PaCO₂ − PECO₂)/PaCO₂, where PaCO₂ is the arterial CO₂ pressure and PECO₂ the mixed expired air. Dead space is the inspired air that does not take part in gas exchange — it rises in pulmonary embolism and emphysema. Enter the PaCO₂ and the PECO₂.
Cerebral Perfusion Pressure (CPP)
Compute the cerebral perfusion pressure, CPP = MAP − ICP, the difference between mean arterial pressure and intracranial pressure. It is the effective pressure perfusing the brain — keeping CPP between 60 and 70 mmHg is a goal in traumatic brain injury, since low values cause ischemia. Enter the mean arterial pressure and the intracranial pressure.
Volume of Distribution (Pharmacokinetics)
Compute a drug's volume of distribution, Vd = Dose/C₀, the theoretical volume in which the dose would have to dilute to reach the observed plasma concentration (C₀). High Vd means the drug distributes widely into tissues; low, that it stays in plasma. It is a central pharmacokinetic parameter. Enter the dose and the initial plasma concentration.
Drug Clearance
Compute a drug's clearance, Cl = k·Vd, where k is the elimination rate constant and Vd the volume of distribution. It is the volume of plasma fully cleared of the drug per unit time — it sets the maintenance dose to hold the target concentration. Enter the elimination rate constant and the volume of distribution.
Loading Dose
Compute a drug's loading dose, LD = (Vd·Cp)/F, where Vd is the volume of distribution, Cp the target plasma concentration and F the bioavailability. The loading dose rapidly reaches the therapeutic concentration, without waiting for the gradual accumulation from maintenance doses. Enter the volume of distribution, the target concentration and the bioavailability.
Fractional Excretion of Sodium (FENa)
Compute the fractional excretion of sodium, FENa = (UNa·PCr)/(PNa·UCr) × 100%, using urine (UNa, UCr) and plasma (PNa, PCr) sodium and creatinine. It is the test that distinguishes prerenal acute kidney injury (FENa < 1%) from acute tubular necrosis (FENa > 2%). Enter the urine and plasma sodium and creatinine.
Renal Filtration Fraction
Compute the renal filtration fraction, FF = GFR/RPF × 100%, the ratio of glomerular filtration rate (GFR) to renal plasma flow (RPF). It indicates the percentage of plasma reaching the kidney that is filtered at the glomeruli (normal ~20%). Changes reflect the tone of the renal arterioles. Enter the GFR and the renal plasma flow.
BOD Exerted (Biochemical Oxygen Demand)
Compute the BOD exerted over time by first-order kinetics, BODt = BODL·(1 − e^(−k·t)), where BODL is the ultimate (total carbonaceous) BOD, k the deoxygenation constant and t the time (days). It measures the oxygen microorganisms consume degrading organic matter — the main indicator of sewage pollution. Enter the ultimate BOD, the constant k and the time.
Removal Efficiency
Compute the removal efficiency of a pollutant in a treatment plant, E = (C₀ − Cf)/C₀ × 100%, where C₀ is the inlet (influent) concentration and Cf the outlet (effluent). It is the performance indicator of any water or sewage treatment process. Enter the inlet and outlet concentrations.
Pollutant Load
Compute the daily pollutant load discharged by an effluent, L = Q·C/1000, where Q is the flow rate (m³/day), C the concentration (mg/L) and L the load (kg/day). Unlike concentration, load measures the total amount of pollutant — what truly matters for the impact on the receiving body. Enter the flow rate and the concentration.
Food/Microorganism Ratio (F/M)
Compute the food-to-microorganism ratio (F/M) of an activated-sludge system, F/M = Q·S₀/(V·X), where Q is the flow, S₀ the influent BOD, V the reactor volume and X the solids concentration (biomass). It controls the process: high F/M overloads the microorganisms; low leads to endogenous respiration. Enter the flow, the influent BOD, the volume and the solids.
Sludge Age
Compute the sludge age (solids retention time), θc = V·X/(Qw·Xw), of an activated-sludge system, where V·X are the solids in the reactor and Qw·Xw the solids wasted per day. It is the mean time biomass stays in the system — a central parameter that defines the treatment type (from a few days to weeks). Enter the volume, the reactor solids, the waste flow and the waste concentration.
Surface Loading Rate
Compute the surface loading rate (overflow rate) of a clarifier or filter, SLR = Q/A, where Q is the flow and A the surface area. It represents the upward velocity of the liquid and sets the sizing of treatment units — particles settling slower than the SLR are carried over. Enter the flow and the surface area.
Oxygen Deficit (Streeter-Phelps)
Compute the dissolved-oxygen deficit in a river downstream of a discharge by the Streeter-Phelps equation, D = (kd·L₀/(kr − kd))·(e^(−kd·t) − e^(−kr·t)) + D₀·e^(−kr·t), where kd is deoxygenation, kr reaeration, L₀ the initial BOD and D₀ the initial deficit. It describes the oxygen sag curve (self-purification zone). Enter kd, kr, the initial BOD, the initial deficit and the time.
Per Capita Sewage Flow
Compute the sewage flow generated by a population, Q = Pop·q·R/86400, where Pop is the population, q the per-capita water use (L/person·day), R the return coefficient (fraction of water becoming sewage, ~0.8) and Q the flow (L/s). It is the basis for sizing collector networks and treatment plants. Enter the population, the per-capita use and the return coefficient.
BOD/COD Ratio (Biodegradability)
Compute the BOD/COD ratio of an effluent, the biodegradability index, by dividing the biochemical oxygen demand by the chemical demand. Values > 0.5 indicate an easily biodegradable effluent (biological treatment viable); < 0.3 indicate a recalcitrant effluent (industrial, needs physical-chemical treatment). Enter the BOD and the COD.
Population Equivalent
Compute the population equivalent of an organic load, PE = load/60, dividing the BOD load (g/day) by the standard per-capita contribution of 60 g BOD/person·day. It converts the pollution of an industry or effluent into the equivalent number of people, allowing comparison and treatment sizing. Enter the organic load in g BOD/day.
Photovoltaic Panel Energy Output
Estimate the daily energy generated by a solar PV system, E = Pp·PSH·PR, where Pp is the installed peak power (kWp), PSH the peak sun hours (h/day) and PR the performance ratio (overall system yield, ~0.75–0.85, discounting temperature, wiring and inverter losses). It is the basis for sizing and for estimating a solar plant's monthly output. Enter the peak power, the peak sun hours and the performance ratio.
Number of Solar Panels
Compute how many solar panels are needed to reach a system's target peak power, N = ⌈P_system/P_panel⌉, dividing the total power (Wp) by each module's power (Wp) and rounding up. This is the step that turns the design into the physical count of panels to buy and install. Enter the system power and each panel's power.
Solar Battery Bank Sizing
Size the battery bank of an off-grid solar system, C = (E·days)/(V·DoD), from the daily consumption (Wh), the desired days of autonomy, the system voltage (V) and the batteries' maximum depth of discharge (DoD). It guarantees energy during sunless periods without discharging beyond the limit that shortens battery life. Enter the daily energy, the days of autonomy, the voltage and the DoD.
Power Plant Capacity Factor
Compute the capacity factor of a power plant, CF = E/(P·h)·100%, the ratio of energy actually generated to what it would produce running at rated power the whole time. It measures the real use of the source: solar plants run at 15–25%, wind 25–45%, hydro and thermal much higher. Enter the energy generated, the installed power and the hours in the period.
Photovoltaic Performance Ratio
Compute the performance ratio (PR) of a solar PV system, PR = E/(Pp·H)·100%, comparing the energy actually generated with the energy theoretically expected from the peak power (kWp) and the in-plane irradiation (kWh/m²). It is the master indicator of installation quality: high PR (>80%) means low losses; low PR points to shading, soiling, faults or overheating. Enter the energy generated, the peak power and the irradiation.
Solar Panel Temperature Derating
Compute the real power of a solar panel corrected for temperature, P = Pp·(1 + (γ/100)·(Tcell − 25)), where Pp is the rated power (measured at 25 °C), γ the temperature coefficient (%/°C, typically −0.3 to −0.4) and Tcell the cell temperature. Panels lose power as they heat up — which is why real output drops on the hottest days. Enter the peak power, the temperature coefficient and the cell temperature.
Optimal Solar Panel Angle
Estimate the optimal tilt of fixed solar panels from the site latitude. As a rule of thumb, the ideal annual tilt ≈ |latitude|; to maximize winter add ~15°, and for summer subtract ~15°. Tilting and orienting the modules correctly increases irradiation capture across the year. Enter the site latitude (in degrees).
Peak Sun Hours (PSH)
Convert daily solar irradiation (Wh/m²·day) into peak sun hours (PSH) by dividing by 1000 W/m². PSH represents how many hours of sun at 1000 W/m² (the standard irradiance) would equal the total energy received in the day — the parameter multiplied by the peak power to estimate generation. It varies with region and season (in Brazil, ~4 to 6 h/day). Enter the daily irradiation in Wh/m²·day.
Solar Inverter Sizing (DC/AC Ratio)
Compute the DC/AC ratio (inverter sizing factor) of a PV system by dividing the module power (kWp) by the inverter's rated power (kW). A slight module oversizing (ratio ~1.1–1.3) is common and cost-effective, since panels rarely reach peak power; very high ratios cause clipping. Enter the module power and the inverter power.
Wind Turbine Power
Compute the power extracted by a wind turbine, P = ½·ρ·A·v³·Cp, where ρ is the air density (~1.225 kg/m³), A the area swept by the blades (m²), v the wind speed (m/s) and Cp the power coefficient (theoretical maximum of 0.593 — the Betz limit). The cube dependence on speed explains why strong wind is worth so much. Enter the air density, the swept area, the wind speed and the Cp.
Conduction Heat Load (U·A·ΔT)
Compute the heat load crossing a building element by transmission, Q = U·A·ΔT, where U is the overall heat transfer coefficient (W/m²·K, already bundling wall, glass or roof convection and conduction), A the area and ΔT the indoor-outdoor temperature difference. It is the heat gain (or loss) through the envelope — the basis for a room's cooling/heating load in HVAC design. Enter the U-value, the area and the ΔT.
Air Conditioner EER
Compute the EER (Energy Efficiency Ratio) of an air conditioner, EER = cooling capacity (BTU/h) ÷ electrical power drawn (W). The higher the EER, the more cooling delivered per watt spent — the index that separates efficient units from wasteful ones and underlies energy labels. It differs from the COP (dimensionless) by using BTU/h in the numerator. Enter the cooling capacity and the power drawn.
Duct Air Flow
Compute the air flow through a duct, Q = v·A, multiplying the flow velocity (m/s) by the cross-sectional area (m²). It is the fundamental relation of HVAC and ventilation duct sizing: it sets how much air is supplied or exhausted and, combined with the recommended velocity, determines the duct size. Enter the air velocity and the section area.
Tons of Refrigeration (TR)
Convert a cooling capacity into tons of refrigeration (TR) by dividing the load in BTU/h by 12,000. One TR equals the heat needed to melt a short ton of ice in 24 h (≈3.517 kW) — the traditional unit for chillers and central chilled-water plants. It lets you size and compare large equipment. Enter the capacity in BTU/h.
Refrigerating Effect
Compute the specific refrigerating effect of a refrigeration cycle, RE = h₁ − h₄, the enthalpy difference between the refrigerant leaving the evaporator (vapor) and entering it (after expansion). It represents the heat each kilogram of refrigerant absorbs from the space — the higher it is, the less fluid circulates for the same capacity. It is the heart of the evaporator balance. Enter the evaporator outlet and inlet enthalpies.
Sensible Heat Factor (SHF)
Compute the sensible heat factor (SHF), SHF = Qs/(Qs + Ql), the ratio of the sensible load (which changes temperature) to the total cooling load (sensible + latent, the latter tied to humidity). It defines the process line on the psychrometric chart and guides equipment selection: spaces with many people or infiltration have a lower SHF (more latent load to remove). Enter the sensible heat and the latent heat.
Air Sensible Heat
Compute the sensible cooling/heating load of an air stream, Qs = 1.23·Q·ΔT, where Q is the air flow (L/s), ΔT the temperature difference (°C) and 1.23 the constant bundling the air density and specific heat at standard conditions. It is the portion of heat that changes the air temperature — used to size a space's heating or cooling. Enter the air flow and the ΔT.
Air Latent Heat
Compute the latent cooling load of an air stream, Ql = 3010·Q·Δw, where Q is the air flow (L/s), Δw the humidity-ratio difference (kg water/kg air) and 3010 the constant tied to the latent heat of vaporization. It is the portion of heat linked to humidity — the effort to dehumidify (or humidify) the air, independent of temperature. Enter the air flow and the humidity-ratio change.
Air Changes per Hour (ACH)
Compute the air changes per hour (ACH) by dividing the ventilation air flow (m³/h) by the room volume (m³). It indicates how many times per hour all the room's air is replaced — a central indoor-air-quality parameter: standards require minimums (from ~0.5 ACH in homes to several in hospitals and kitchens). Enter the air flow and the room volume.
Condenser Heat Rejection
Compute the heat rejected at the condenser of a refrigeration system, Qcond = Qevap + Wcomp, adding the refrigerating capacity (heat removed at the evaporator) to the compressor power input. By the energy balance, everything entering the cycle must leave through the condenser — so it is always larger than the cooling capacity, and this value sizes the cooling tower or air-cooled condenser. Enter the refrigerating capacity and the compressor power.
Reference Evapotranspiration (Hargreaves)
Estimate the reference evapotranspiration ETo by the Hargreaves-Samani method, ETo = 0.0023·(Tmean + 17.8)·√(Tmax − Tmin)·Ra, using only temperatures and extraterrestrial radiation (Ra). It is the practical alternative to Penman-Monteith when wind and humidity data are missing — ideal for irrigation in regions without a full weather station. ETo indicates the atmospheric water demand. Enter the maximum, minimum and mean temperatures and the extraterrestrial radiation.
Soil Available Water
Compute the available water depth stored in the soil, AW = (FC − PWP)·BD·z/10, from the field capacity (FC, %), the permanent wilting point (PWP, %), the bulk density (BD, g/cm³) and the effective root depth (z, cm). It is the water the plant can actually extract — between saturated soil (FC) and the point where the plant wilts (PWP). The basis of irrigation management and the irrigation interval. Enter FC, PWP, bulk density and depth.
Feed Conversion Ratio
Compute the feed conversion ratio (FCR) by dividing the feed consumed by the weight gained. It is the key index of animal-production efficiency: the lower it is, the more meat (or milk, eggs) the animal produces per kilo of feed. A modern broiler converts ~1.6; a feedlot steer ~6–8. It directly sets the cost of production. Enter the feed consumed and the weight gained.
Average Daily Gain (ADG)
Compute an animal's average daily gain (ADG), ADG = (final weight − initial weight) / days, the rate at which it gains weight over a period. It is the fundamental performance measure in beef and pig production: it sets when the animal reaches slaughter weight and lets you compare diets, genetics and management. Enter the initial weight, the final weight and the number of days.
Leaf Area Index (LAI)
Compute the leaf area index (LAI), the ratio of total leaf area to the ground area it covers. It measures how much the crop intercepts light for photosynthesis: a low LAI wastes radiation; too high causes shading and disease. Each crop has an optimal LAI (usually 3–6). It is a central parameter of plant productivity and agricultural remote sensing. Enter the leaf area and the ground area.
Growing Degree Days (GDD)
Compute the growing degree days (GDD), GDD = (Tmax + Tmin)/2 − Tbase, the daily thermal accumulation above the base temperature below which the plant does not grow. Since crop development is driven by temperature, summing degree days predicts phenological stages — flowering, maturity, harvest — more accurately than the calendar. Also used for pests and insects. Enter the day's maximum and minimum temperatures and the crop base temperature.
Soil Bulk Density
Compute the soil bulk density, BD = dry soil mass / total volume (pores included). Unlike particle density, it reveals the degree of compaction: high values (>1.6 g/cm³ in sandy, >1.4 in clayey soils) indicate dense soil that hinders roots and water infiltration. It is an essential soil-physics measure and feeds the available-water and porosity calculations. Enter the dry soil mass and the total volume.
Carbon/Nitrogen Ratio (C/N)
Compute the C/N ratio of an organic material by dividing the carbon content by the nitrogen content. It governs composting and decomposition: the ideal range to compost is ~25–30/1. A high ratio (straw, sawdust) breaks down slowly and immobilizes nitrogen; a low one (manure, legumes) breaks down fast and releases ammonia. Balancing 'brown' and 'green' materials starts here. Enter the carbon and nitrogen contents.
Seeding Rate
Compute the seeding rate (kg/ha), Rate = (target density · TKW) / (germination · 10⁶), from the desired seed population per hectare, the thousand-kernel weight (TKW, g) and the germination percentage. It corrects the seed amount for real viability, ensuring the planned plant population even when some seeds fail. Enter the seed density, the thousand-kernel weight and the germination.
Soil Infiltration Rate
Compute the water infiltration rate into soil by dividing the infiltrated depth (mm) by the time (h), giving mm/h. It measures how fast rain or irrigation water penetrates the surface — high in sandy soils, low in clayey and compacted ones. When rainfall intensity exceeds the infiltration rate, runoff and erosion occur. It sets the maximum application rate for irrigation. Enter the infiltrated depth and the time.
Azimuth from Coordinates
Compute the azimuth (bearing from 0 to 360°, measured from North clockwise) of a survey line from the plane coordinate differences, Az = atan2(ΔE, ΔN). Unlike the geographic azimuth computed from latitude/longitude, this works in the local survey plane (E and N coordinates in meters, UTM or arbitrary). It is the basis of traverse computation and coordinate transport. Enter the Easting (ΔE) and Northing (ΔN) coordinate differences.
Plane Coordinate Distance
Compute the horizontal distance between two points in the survey plane, d = √(ΔE² + ΔN²), by the Pythagorean theorem applied to the Easting and Northing differences (in meters). Unlike the geodesic distance (Haversine, over the Earth's sphere), this holds for local plane or UTM coordinates, as in a topographic survey. It is the elementary step of traverse and area computation. Enter the Easting (ΔE) and Northing (ΔN) differences.
Slope Percentage
Compute the slope (grade) of terrain or a ramp as a percentage, i = (Δh/d)·100, dividing the vertical rise by the horizontal distance. A 100% slope corresponds to 45°. It is an essential measure in surveying, roads, drainage and accessibility — it sets the climbing effort, erosion risk and compliance with ramp standards. Enter the vertical rise and the horizontal distance.
Stadia (Tacheometric) Distance
Compute the horizontal distance by tacheometry (stadia) with a horizontal sight, D = 100·(US − LS), where US and LS are the upper and lower stadia hair readings on the rod, and 100 is the stadia constant of the instrument. It is the classic method of measuring distances indirectly with a telescope and graduated rod, before electronic distance meters. Enter the upper and lower hair readings.
Coordinates by Radiation
Compute the plane coordinates (E, N) of a point by the topographic radiation method, E = E₀ + d·sin(Az) and N = N₀ + d·cos(Az), from a known station's coordinates (E₀, N₀), the azimuth (Az) and the distance (d) to the point. It is the fundamental operation of traverse surveying and field coordinate transport. Enter the station coordinates, the azimuth and the distance.
Elevation by Geometric Leveling
Compute a point's elevation by geometric leveling, Elev_fore = Elev_back + Back_reading − Fore_reading. The level sights a rod on the known-elevation point (backsight) and another on the point to be determined (foresight); the reading difference gives the height difference. It is the most precise method of transferring elevations in surveying, used in earthworks, drainage and grade staking. Enter the known elevation and the back and fore readings.
Linear Closure Error
Compute the linear closure error of a traverse, e = √(eE² + eN²), combining the closure errors in the Easting and Northing coordinates. In a closed traverse, the sum of projections should be zero; the residual is this error, which measures the survey quality before adjustment. Compared to the perimeter, it defines the relative precision. Enter the Easting (eE) and Northing (eN) closure errors.
Traverse Closure Precision
Compute the relative precision of a traverse closure, expressed as 1/N = error/perimeter, by dividing the total perimeter by the linear closure error. It is the criterion that decides whether a survey is acceptable: precisions of 1/3000 or better are typically required in urban surveying, while rough work tolerates 1/1000. The larger the denominator N, the better. Enter the traverse perimeter and the closure error.
Earthwork Volume (Prismoidal)
Compute the volume of earth between two cross-sections by the prismoidal formula, V = (L/6)·(A1 + 4·Am + A2), where A1 and A2 are the end-section areas, Am the middle-section area and L the distance between them. More accurate than the average-of-areas method, it is the standard formula for cut-and-fill volumes in roads and earthworks. Enter the end-section areas, the middle area and the length.
Azimuth to Bearing Conversion
Convert an azimuth (0 to 360°, measured from North clockwise) into the corresponding bearing — the 0 to 90° angle relative to North or South, with the quadrant indication (NE, SE, SW, NW). The bearing is the traditional way of expressing directions in surveying and boundary descriptions. Each quadrant uses a rule: in the 1st quadrant the bearing equals the azimuth; in the others, subtract from 180, 180 or 360. Enter the azimuth.
Hull Speed
Compute the hull speed of a displacement vessel, V ≈ 2.43·√(LWL), in knots, from the waterline length (LWL, in meters). It is the theoretical limit of a hull's economical speed: as the boat approaches it, it gets trapped in its own bow wave and the required power soars. That is why sailboats and displacement craft rarely exceed it. Enter the waterline length.
Block Coefficient (Cb)
Compute a ship's block coefficient (Cb), Cb = ∇/(L·B·T), the ratio of the displaced (carene) volume to the enclosing box (length × beam × draft). It measures how 'full' the hull is: slow cargo ships have a high Cb (~0.8); fast, fine vessels a low Cb (~0.5). It is one of the central parameters of naval architecture. Enter the displaced volume, the length, the beam and the draft.
Prismatic Coefficient (Cp)
Compute a hull's prismatic coefficient (Cp), Cp = ∇/(Am·L), the ratio of the displaced volume to that of a prism with the midship section area (Am) along the whole length. It indicates how volume is distributed lengthwise: a low Cp concentrates volume amidships (good for low speeds), a high Cp pushes it to the ends (better at high speeds). It is decisive in resistance design. Enter the displaced volume, the midship section area and the length.
Tons per Centimeter Immersion (TPC)
Compute the tons per centimeter of immersion (TPC), TPC = Awp·ρ/100, from the waterplane area (Awp, in m²) and the water density (ρ ≈ 1.025 t/m³ at sea). It indicates how many tons of cargo must be loaded (or removed) for the ship to sink (or rise) by 1 cm. It is essential in the loading plan and draft control. Enter the waterplane area and the water density.
Power by Admiralty Coefficient
Estimate a ship's propulsive power by the Admiralty formula, P = (∆^(2/3)·V³)/C, from the displacement (∆, t), the speed (V, knots) and the Admiralty coefficient (C), characteristic of similar hulls. It is a classic, fast method to predict the required power in the preliminary design stage, based on similarity with existing ships. The V³ dependence shows the high cost of speed. Enter the displacement, the speed and the coefficient C.
Hull Wetted Surface
Estimate the hull's wetted surface area by Denny's formula, S = 1.7·L·T + ∇/T, from the length (L), the draft (T) and the displaced volume (∇). The wetted surface drives frictional resistance — the largest share of drag at low speeds — and underlies power calculation and the area to be coated with antifouling paint. Enter the length, the draft and the displaced volume.
Anchor Rode Length (Scope)
Compute the length of anchor rode (chain or line) to pay out, L = scope·(depth + bow roller height), from the scope ratio (typically 5:1 to 7:1), the water depth and the height of the attachment point above the water. A proper ratio makes the rode pull the anchor horizontally, ensuring it sets and the anchored boat stays safe. Enter the depth, the bow roller height and the scope ratio.
True Heading from Magnetic
Convert a magnetic heading (read off the compass) into a true heading, TH = (MH + variation) mod 360°, by adding the local magnetic variation (positive East, negative West). The compass points to magnetic north, which differs from true north depending on your position on Earth — correcting this difference is essential for navigating on the nautical chart. Enter the magnetic heading and the magnetic variation.
Nautical Travel Time (ETA)
Compute a vessel's travel time (and estimated time of arrival, ETA), t = distance/speed, by dividing the route distance (in nautical miles) by the speed (in knots). Since 1 knot is exactly 1 nautical mile per hour, the result comes directly in hours. It is the basic calculation of passage planning and fuel estimation. Enter the distance in nautical miles and the speed in knots.
Reserve Buoyancy
Compute a vessel's reserve buoyancy, R = (total_volume − submerged_volume)/submerged_volume·100%, the percentage of watertight volume above the waterline relative to the submerged volume. It is the safety margin against sinking: the larger it is, the more cargo or flooding the hull tolerates before submerging. It defines the freeboard and the damage survivability. Enter the total watertight volume and the submerged volume.
Stripping Ratio (SR)
Compute the stripping ratio (SR) of an open-pit mine by dividing the amount of waste (worthless rock that must be removed) by the ore extracted. It is the central economic indicator of open-pit mining: the higher the SR, the more useless material is moved per tonne of ore, and the higher the cost. It defines the pit limit and the viability of the operation. Enter the waste and ore quantities.
Metallurgical Recovery
Compute the metallurgical recovery of a processing plant, R = (metal in concentrate / metal in feed)·100%, the fraction of the metal contained in the ore that is actually recovered into the concentrate. It is the key measure of plant efficiency: the unrecovered metal is lost in the tailings. Small recovery gains represent large value in large-scale operations. Enter the mass of metal in the concentrate and in the feed.
Ore Dilution
Compute ore dilution in mining, D = waste/(ore + waste)·100%, the proportion of waste that ends up mixed with the ore during extraction, lowering the grade reaching the plant. Every operation has some dilution (irregular contacts, imprecise blasting); controlling it is essential, since diluted ore consumes energy and reagents to process worthless material. Enter the masses of diluting waste and ore.
Mineral Reserve Tonnage
Compute a mineral reserve's tonnage, T = Volume · Density, multiplying the ore body volume (m³) by the rock bulk density (t/m³). It is the step that turns the estimated geometry of a deposit (from drilling and modeling) into ore mass — the basis of any economic evaluation of a deposit. Enter the volume and the ore density.
Soil Swell Factor
Compute the swell factor, E = (loose_volume/in-situ_volume − 1)·100%, the volume increase soil or rock undergoes when excavated and loosened, relative to the original compact (bank) volume. It is essential in sizing haulage and spoil: 1 m³ of rock in the bank can become 1.5 m³ loose in the truck. Each material has its factor (sand ~10–15%, rock ~50–60%). Enter the loose volume and the in-situ (bank) volume.
Powder Factor
Compute the powder factor of a rock blast by dividing the explosive mass (kg) by the volume of rock broken (m³), in kg/m³. It is the central parameter of the blast design: too low produces boulders and poor fragmentation; too high wastes explosive and increases vibration and flyrock. Optimizing it reduces downstream crushing costs. Enter the explosive mass and the rock volume.
RQD (Rock Quality Designation)
Compute the RQD (Rock Quality Designation), R = (sum of core pieces ≥ 10 cm / total drilled length)·100%, an index of rock-mass quality obtained from drill-core logging. It measures the degree of fracturing: an RQD above 90% indicates excellent, intact rock; below 25%, heavily fractured, poor-quality rock. It underlies geomechanical classification (RMR, Q) in tunnels and slopes. Enter the sum of pieces ≥ 10 cm and the total length.
Metal Equivalent Grade
Compute the metal equivalent grade of a polymetallic ore by adding to the main metal's grade the contribution of secondary metals weighted by the price ratio: Eq = main_grade + secondary_grade · (price_sec/price_main). It converts a deposit with several metals (e.g. copper with gold and silver) into a single comparable grade, used to set the cutoff grade and evaluate the deposit. Enter the main grade, the secondary grade and the price factor (price_sec/price_main).
Mining Recovery
Compute the mining recovery, R = (mined ore / in-situ ore)·100%, the fraction of the ore originally present in the deposit that is actually extracted. Not all ore is recoverable: support pillars, blasting losses and contacts leave part behind. Together with dilution, it defines the extraction efficiency and the mineable reserves. Enter the mined ore and the in-situ ore.
Concentration Ratio
Compute the concentration ratio of a processing operation, CR = feed mass / concentrate mass, how many tonnes of raw ore are needed to produce one tonne of concentrate. It measures the degree of upgrade: high ratios indicate lean ores that require heavy processing. It is useful in the mass balance and plant sizing. Enter the feed mass and the concentrate mass.
Wing Aspect Ratio
Compute a wing's aspect ratio, AR = b²/S, where b is the wingspan and S the wing area. Long, thin wings (high aspect ratio, as in gliders) generate less induced drag and are more efficient in cruise; short, wide wings (low AR, as in fighters) are more maneuverable and structurally lighter. It is one of the parameters that most influence aerodynamic performance. Enter the wingspan and the wing area.
Thrust-to-Weight Ratio (T/W)
Compute an aircraft's thrust-to-weight ratio, T/W = thrust/weight, a dimensionless number indicating acceleration and climb capability. Values below 1 are typical of airliners (they climb at a gentle gradient); above 1, the aircraft can accelerate vertically — modern fighters exceed 1.0. It is decisive in takeoff and maneuverability. Enter the thrust and the weight.
Crosswind Component
Compute the crosswind component on the runway, Xw = V·sin(θ), from the wind speed and the angle between the wind and the runway axis. It is a critical landing and takeoff calculation: each aircraft has a maximum demonstrated crosswind, and exceeding it makes directional control dangerous. The headwind component is V·cos(θ). Enter the wind speed and the angle to the runway.
Propeller (Propulsive) Efficiency
Compute a propeller's propulsive efficiency, η = (T·V/P)·100%, the ratio of useful propulsion power (thrust × speed) to the power delivered to the shaft. It measures how much of the engine power the propeller converts into forward thrust — well-designed propellers reach 80–88% in cruise. It drops sharply at low speed (takeoff) and near the speed of sound at the blade tips. Enter the thrust, the speed and the shaft power.
Level Turn Radius
Compute the radius of an aircraft's coordinated level turn, r = v²/(g·tan φ), where v is the speed, g gravity and φ the bank angle. The steeper the bank, the smaller (tighter) the turn; the faster the speed, the larger the radius. It defines the space needed to maneuver and the load factor sustained. Enter the speed and the bank angle.
Aircraft Center of Gravity
Compute the center-of-gravity (CG) position of an aircraft with two weight stations, CG = (W₁·a₁ + W₂·a₂)/(W₁ + W₂), the total moment divided by the total weight, measured from a reference datum. The CG must stay within a safe envelope: too far forward the aircraft is nose-heavy and hard to rotate; too far aft, unstable. It is an essential part of the weight-and-balance check before each flight. Enter the weights and arms of the two stations.
Aircraft Climb Time
Compute an aircraft's climb time, t = Δaltitude/rate of climb (ROC), dividing the altitude gain by the rate of climb (in ft/min or m/min). It estimates how long the aircraft takes to reach cruise altitude — used in flight planning, climb fuel burn and traffic separation. The rate of climb decreases with altitude, so the result is an average estimate. Enter the altitude gain and the rate of climb.
Mean Aerodynamic Chord (MAC)
Compute the mean aerodynamic chord (MAC) of a tapered wing, MAC = (2/3)·(Cr + Ct − Cr·Ct/(Cr + Ct)), from the root chord (Cr) and tip chord (Ct). The MAC is the reference chord used to define the center of gravity and aerodynamic center positions as a percentage — the basis of all longitudinal stability analysis. Enter the root chord and the tip chord.
Glide Distance
Compute the horizontal distance an aircraft (or glider) travels in an unpowered glide, d = altitude · glide ratio, multiplying the available height by the glide ratio (how many meters it advances per meter descended, equal to L/D). A glider with a 40:1 ratio at 1000 m reaches 40 km. It is the engine-out range and landing-circuit calculation. Enter the altitude and the glide ratio.
Rotation Speed (Takeoff)
Estimate the rotation speed (Vr) at takeoff, Vr = factor · Vstall, multiplying the stall speed by the safety margin (typically ~1.1). Vr is the speed at which the pilot pulls back to raise the nose and start the takeoff; it ensures enough margin above the stall at the critical moment. Enter the stall speed and the safety factor.
Expanded Uncertainty
Compute the expanded uncertainty of a measurement, U = k · uc, multiplying the combined uncertainty (uc) by the coverage factor k. While the combined uncertainty corresponds to ~68% confidence (1σ), the expanded one defines a higher-confidence interval — with k = 2, about 95%, the standard in most calibration certificates. It is the final value reported as '± U' in the result. Enter the coverage factor k and the combined uncertainty.
ADC Resolution
Compute the resolution of an analog-to-digital converter (ADC), R = FSR/2ⁿ, dividing the full-scale range (FSR, in volts) by the number of levels (2 to the power of the number of bits). It is the smallest voltage step the converter distinguishes — the more bits, the finer the resolution: a 12-bit ADC divides the range into 4096 levels. Fundamental in data-acquisition and digital-instrumentation design. Enter the full-scale range and the number of bits.
Sensor Sensitivity
Compute a sensor's sensitivity, S = Δoutput/Δinput, the ratio of the output-signal change to the measured-quantity change that caused it. It is the slope of the calibration curve: a more sensitive sensor produces a larger signal change for the same input change, making reading easier. Expressed, for example, in mV/°C or mA/bar. Enter the output change and the input change.
Instrument Span
Compute the span (measuring range) of an instrument, Span = URV − LRV, the difference between the upper (URV) and lower (LRV) range values of the calibrated range. The span defines the amplitude the instrument covers — different from the range, which gives the limits. For example, a transmitter from 20 to 100 °C has an 80 °C span. It is the basis of zero and span adjustment in calibration. Enter the upper and lower range values.
4-20 mA Current Scaling
Convert a 4-to-20 mA current signal into the corresponding process variable, PV = LRV + (I − 4)/16 · (URV − LRV), the universal standard of industrial instrumentation. The 4 mA represents 0% of the range and 20 mA, 100%; the 'live zero' at 4 mA distinguishes a null reading from a broken cable (0 mA). Enter the measured current and the lower and upper range values.
Valve Rangeability
Compute the rangeability (turndown) of a control valve, R = Qmax/Qmin, the ratio of the largest to the smallest flow it controls accurately. A high rangeability (e.g. 50:1) means the valve works well at both high and low flows, offering fine control over a wide range. It is a key criterion in valve selection. Enter the maximum and minimum controllable flows.
Linearity Error
Compute the linearity error (non-linearity) of an instrument, LE = (maximum deviation/span)·100%, the largest departure of the actual curve from the ideal straight line, expressed as a percentage of span. It measures how much the instrument's response deviates from a straight line — the smaller, the more 'linear' and predictable the reading. It is one of the components of specified accuracy. Enter the maximum deviation and the instrument span.
Encoder Resolution
Compute the angular resolution of an incremental rotary encoder, R = 360°/PPR, dividing 360° by the pulses per revolution (PPR). It is the smallest angle increment the encoder can distinguish — the more pulses per turn, the finer the position measurement. A 3600-PPR encoder resolves 0.1° per pulse. The basis of position control in servomechanisms and CNC. Enter the pulses per revolution.
Instrument Hysteresis
Compute an instrument's hysteresis, H = (maximum up-down difference/span)·100%, the largest difference between the readings obtained for the same input value when it is reached increasingly and then decreasingly. It reveals 'memory' or mechanical slack in the sensor: ideally zero, but present in springs, gears and magnetic materials. Expressed as a percentage of span. Enter the hysteresis difference and the span.
Accuracy as % of Full Scale
Convert an accuracy specification given as a percentage of full scale (% FS) into the absolute error in engineering units, Error = (accuracy% · span)/100. Since the %FS error is constant across the range, it represents a larger relative error at low readings — so it is important to translate it into real units. Enter the accuracy percentage and the instrument span.
Stepper Motor Resolution
Compute the angular resolution of a stepper motor, R = 360°/(steps per revolution · microsteps), the smallest angle the shaft can position. A common 200-step motor (1.8°/step) with 16 microstepping reaches 0.1125° per microstep — 3200 positions per revolution. Microstepping smooths motion and raises resolution, though it lowers the holding torque per microstep. Enter the steps per revolution and the microstepping factor.
Forward Kinematics (2 DOF)
Compute the (x, y) position of the end of a planar 2-degree-of-freedom robotic arm from the joint angles: x = L1·cos(θ1) + L2·cos(θ1+θ2) and y = L1·sin(θ1) + L2·sin(θ1+θ2). This is forward kinematics — given the joint angles, find where the tool is. Fundamental in manipulator control and robot simulation. Enter the link lengths (L1, L2) and the joint angles (θ1, θ2) in degrees.
Degrees of Freedom (Grübler)
Compute the degrees of freedom (mobility) of a planar mechanism by the Grübler-Kutzbach equation, DOF = 3·(n − 1) − 2·j1 − j2, where n is the number of links (including the fixed one), j1 the 1-DOF joints (pin, slider) and j2 the 2-DOF joints. A four-bar linkage (n=4, j1=4) has DOF=1: a single input motion controls the whole mechanism. The basis of mechanism and robot synthesis. Enter the number of links, 1-DOF joints and 2-DOF joints.
Lead Screw Lead
Compute the lead of a ball screw or power screw, Lead = pitch · number of starts, the linear distance the nut travels per full turn of the screw. On a single-start screw the lead equals the pitch; with multiple starts the lead increases proportionally, allowing more linear speed at the same rotation. The basis of rotation-to-displacement conversion in CNC and linear actuators. Enter the pitch and the number of starts.
Trapezoidal Profile Time
Compute the total time of a motion with a trapezoidal velocity profile, t = d/Vmax + Vmax/a, adding the cruise-velocity time to the acceleration and deceleration phases. It is the most common motion profile in motors and robots: accelerate to maximum speed, hold constant and decelerate. Enter the distance, the maximum velocity and the acceleration (assuming equal acceleration and deceleration).
Harmonic Drive Reduction
Compute the reduction ratio of a harmonic drive (strain wave gear), R = Nf/(Nc − Nf), where Nf is the flexspline tooth count and Nc the circular spline's (usually Nc = Nf + 2). This ingenious mechanism reaches huge reductions (50:1 to 300:1) in a single compact stage with zero backlash — which is why it is the heart of industrial and collaborative robot joints. Enter the flexspline and circular spline tooth counts.
Steps per Millimeter (3D Printer)
Compute the steps per millimeter (steps/mm) of a 3D-printer or CNC axis, steps/mm = (steps per revolution · microsteps)/travel per revolution, the calibration value entered in the firmware. For a GT2-belt axis (40 mm/rev travel), a 200-step motor and 16 microsteps, it gives 80 steps/mm. Correct calibration ensures accurate part dimensions. Enter the steps per revolution, the microsteps and the travel per revolution.
Jerk (Rate of Acceleration Change)
Compute the jerk, J = Δacceleration/Δtime, the rate of change of acceleration over time — the third derivative of position. High jerk causes jolts, vibration and wear; controlling it (jerk-limited or S-curve profiles) makes motion smooth, protecting mechanisms and improving the finish on CNC machines and elevators. Enter the acceleration change and the time interval.
Motor Power (Torque × RPM)
Compute a motor's mechanical power from torque and rotation, P = τ·ω = τ·2π·n/60, where τ is the torque (N·m), n the rotation (rpm) and P the power (W). It is the fundamental relation linking the three quantities of a rotating motor: the same motor delivers high torque at low speed or high speed at low torque, but the power is the product of the two. The basis of drive sizing. Enter the torque and the rotation.
Servo Angle from PWM
Convert a servo motor's PWM pulse width into the corresponding angle, angle = (pulse − 1000)/1000 · 180°, in the hobby standard where 1000 µs ≈ 0°, 1500 µs ≈ 90° (center) and 2000 µs ≈ 180°. Hobby and robotics servos are commanded by this pulse width, typically at 50 Hz. Knowing the relation helps to calibrate and program movements. Enter the pulse width in microseconds.
Yarn Count (Tex)
Compute a yarn's count in the Tex system, Tex = (mass in grams / length in meters) · 1000, i.e. the mass in grams of 1000 meters of the yarn. It is a 'direct' system (the higher the number, the thicker the yarn), standardized internationally. Tex links mass to length — the fundamental quantity defining yarn fineness and influencing strength, hand and fabric weight. Enter the mass and length of the yarn sample.
Yarn Count (Denier)
Compute a yarn's count in the Denier system, Den = (mass in grams / length in meters) · 9000, the mass in grams of 9000 meters of the yarn. It is a direct system widely used for synthetic filaments and hosiery (the famous '15 denier'). It equals 9× the Tex. The higher the denier, the thicker the filament. Enter the mass and length of the yarn sample.
Tex ↔ Ne Conversion
Convert a yarn count from the Tex (direct) system to Ne (English count, indirect), Ne = 590.5/Tex. In the Ne system, unlike Tex, the higher the number the <em>finer</em> the yarn — so they are inversely proportional. Ne is traditional in cotton spinning. The conversion is essential to compare yarns specified in different systems. Enter the count in Tex.
Fabric Weight (GSM)
Compute a fabric's weight in grams per square meter (GSM) by dividing a sample's mass by its area. It is the main measure of fabric 'weight': light T-shirt knits are 140–180 g/m², sweatshirts 280–340, canvas and denim much more. GSM defines hand, drape, durability and price, and is specified in almost every textile spec sheet. Enter the sample's mass and area.
Marker Efficiency (Cutting)
Compute the efficiency of a pattern marker in cutting, E = (pieces area / marker area) · 100%, the fraction of the lay actually used by the patterns. The rest is the 'waste' between pieces, an unrecoverable fabric loss — the largest variable cost in garment making. Each percentage point of utilization saves a lot of fabric in scale production. Enter the pieces area and the total marker area.
Yarn Twist (TPM)
Compute a yarn's twist in turns per meter (TPM) by dividing the number of turns by the length. Twist is what holds the fibers together and gives the yarn strength: too little produces a weak, fuzzy yarn; too much, a hard yarn prone to kinking. The direction (S or Z) and twist level define the yarn's character — knitting yarns are low-twist, crepe yarns high. Enter the number of turns and the length.
Fabric Thread Count
Compute a woven fabric's thread density by adding the warp threads (lengthwise) and weft threads (widthwise) per centimeter. It is an indicator of construction and quality: higher density usually means a firmer, more durable and fuller fabric. It appears on spec sheets as 'threads/cm' or 'thread count'. Enter the warp and weft threads per cm.
Fabric Shrinkage
Compute a fabric's shrinkage after washing, S = (initial measure − final measure)/initial measure · 100%, the percentage reduction in length or width. Almost every fabric shrinks in the first wash (cotton can exceed 5%), so the pattern must compensate for that percentage and the fabric is usually pre-shrunk (sanforized). Ignoring it makes the garment come out smaller than the nominal size. Enter the measures before and after washing.
Fabric Cover Factor
Compute a fabric's cover factor, CF = thread density (threads/cm) · √(Tex), an index of how 'closed' the weave is — how much the threads cover the area, leaving more or fewer open spaces. High factors indicate dense, opaque fabrics (canvas, twill); low ones, sheer, breathable fabrics (voile, mesh). It influences air permeability, opacity and strength. Enter the thread density and the count in Tex.
Sewing Thread Consumption
Estimate the thread consumption of a seam by multiplying the seam length by the stitch consumption factor (the ratio of thread used to seam length — ~2.5 for lockstitch, more for overlock and coverstitch). Knowing the thread consumption per piece is essential to budget, buy cones and avoid stopping production for lack of thread. Enter the seam length and the consumption factor.
Welding Heat Input
Compute the heat input of a weld, H = (V·I·60)/(v·1000), in kJ/mm, from the arc voltage (V), the current (I) and the travel speed (v, in mm/min). It is one of the most important welding parameters: it controls the cooling rate, the microstructure, the heat-affected-zone hardness and the cracking risk. High input softens and distorts; low input hardens and embrittles. Enter the voltage, the current and the travel speed.
Carbon Equivalent (CEq)
Compute a steel's carbon equivalent by the (simplified) IIW formula, CEq = C + Mn/6 + Cr/5 + Ni/15, weighting the alloying elements' effect relative to carbon on the hardening and cracking tendency. It is the key weldability index: a CEq below 0.40 indicates easily weldable steel; above 0.45–0.50 it requires preheating and care to avoid cold cracking. Enter the carbon, manganese, chromium and nickel contents (%).
Weld Deposition Rate
Compute a weld's deposition rate by dividing the mass of deposited metal by the arc-on time, giving kg/h. It is a central indicator of process productivity: processes like submerged arc and MIG/MAG have far higher rates than stick electrode. Combined with the operating factor (actual arc time), it estimates a joint's output. Enter the deposited mass and the arc time.
Weld Dilution
Compute a weld's dilution, D = (melted base-metal area / total bead area)·100%, the proportion of the bead that came from the base metal rather than the filler. It is crucial in cladding and dissimilar-metal joints: high dilution mixes in more base metal, altering the bead's composition and properties (anti-corrosion cladding aims for low dilution). Enter the melted base-metal area and the total bead area.
Electrode Consumption
Estimate the number of electrodes needed for a weld by dividing the total mass of metal to deposit by the mass deposited per electrode (rounding up). It is a practical planning and budgeting calculation in stick-electrode welding, avoiding over-buying or stopping the job for lack of consumables. Enter the total weld mass and the mass deposited per electrode.
Welding Preheat Temperature
Estimate the preheat temperature for welding, Tp = 350·√(CE − 0.25), as a function of the steel's carbon equivalent (CE). Preheating reduces the cooling rate, giving hydrogen time to escape and preventing the formation of brittle martensite and cold cracks in the heat-affected zone. Steels with a high CE require more preheating. Enter the steel's carbon equivalent.
ASTM Grain Size
Compute the number of grains per square inch at 100× magnification from the ASTM grain-size number, N = 2^(G−1). The higher the G number, the smaller and more numerous the grains. Grain size is decisive in metal properties: fine grains (high G) increase strength and toughness (Hall-Petch relation), while coarse grains reduce them. It is measured by metallography. Enter the ASTM grain-size number (G).
Welding Travel Speed
Compute the welding travel speed (arc advance) by dividing the bead length by the time taken, in mm/min. It is a fundamental parameter that, together with voltage and current, defines the heat input: welding too fast produces narrow beads with little penetration; too slow overheats and deposits excess material. Enter the bead length and the welding time.
Shielding Gas Consumption
Compute the shielding gas consumption of a MIG/MAG or TIG weld by multiplying the flow rate (L/min) by the welding time (min), in liters. The gas (argon, CO₂, mixtures) protects the molten pool from atmospheric contamination. Knowing the consumption lets you size cylinders and budget — and adjust the flow, since excess wastes gas and can cause turbulence and porosity. Enter the gas flow rate and the welding time.
Tensile Strength from Brinell Hardness
Estimate a carbon steel's tensile strength (Rm) from the Brinell hardness, Rm ≈ 3.45·HB, in MPa. There is a remarkably robust empirical correlation between hardness and strength in steels, which lets you estimate strength from a hardness test — fast, cheap and almost non-destructive — instead of a tensile test. Useful in inspection and quality control. Enter the Brinell hardness (HB).
Mold Clamping Force
Compute the clamping force needed on a plastic injection machine, F = projected area · cavity pressure, to keep the mold closed against the molten plastic pressure. If the force is insufficient, the mold opens during injection and plastic leaks out at the parting lines (flash). It is the parameter that defines the machine tonnage required for a part. Enter the part's projected area (mm²) and the cavity pressure (MPa).
Plastic Mold Shrinkage
Compute the final dimension of a plastic part after molding shrinkage, part_dim = mold_dim · (1 − shrinkage%/100). Every thermoplastic shrinks as it cools and solidifies in the mold — from ~0.5% (amorphous like ABS) to 2–3% (semicrystalline like PP and PA). That is why the mold cavity is machined larger than the final part, compensating exactly for this shrinkage. Getting it wrong ruins an expensive mold. Enter the mold dimension and the material's shrinkage rate.
Injection Shot Volume
Compute the shot volume of a plastic part by dividing the injected mass by the molten material density. The shot is the total volume of plastic injected per cycle (parts + runners), a parameter that must fit the injection barrel capacity. Together with the machine capacity, it defines how many cavities can be filled per cycle. Enter the injected mass (g) and the material density (g/cm³).
Screw L/D Ratio (Injection)
Compute the L/D (length/diameter) ratio of an injection or extrusion screw by dividing the effective length by the diameter. It is a central parameter of the plasticizing design: long screws (L/D 20–24) give better melt mixing and homogenization; short ones (L/D < 18) plasticize less but are more robust. It defines melt quality and the ability to process different materials. Enter the screw length and diameter.
Mold Cavity Count
Compute the maximum number of mold cavities the machine can fill per cycle by dividing the machine's injection capacity by each part's mass (rounding down). More cavities increase productivity but require a larger machine and a more expensive, complex mold. It is a key calculation in production planning and mold selection. Enter the machine injection capacity and each part's mass.
Injection Cycle Time
Compute the total cycle time of a plastic injection by adding the injection time (fill + pack), the cooling time and the mold open/eject time. Cooling is usually the largest share (50–80% of the cycle). The cycle time directly determines productivity: parts/hour = 3600/cycle × cavities. Reducing it is the constant focus of optimization. Enter the injection, cooling and opening times.
Mold Cavity Pressure
Estimate the pressure that actually reaches the mold cavity by multiplying the injection pressure (at the screw tip) by the pressure transmission factor, which accounts for pressure losses along the runners, nozzle and gates to the cavity. Typically only 40–60% of the machine pressure reaches the part. It is the cavity pressure that defines the clamping force and fill quality. Enter the injection pressure and the transmission factor.
Shear Rate (Injection)
Compute the shear rate of the molten plastic in a rectangular channel, γ = 6Q/(W·H²), from the flow rate (Q), the channel width (W) and height (H). It is a critical parameter of polymer processing: thermoplastic viscosity drops with shear rate (pseudoplastic behavior), and excessive rates degrade the material. It guides the design of runners and gates. Enter the flow rate, the width and the height of the channel.
Injection Capacity (PS Equivalent)
Convert a machine's nominal injection capacity (always specified in polystyrene, PS, density ~1.05) to the equivalent capacity in another material by multiplying by the density ratio. Since the barrel has a fixed volume, the mass it injects changes with the plastic's density — denser materials yield more grams per shot. Essential to size the machine for the real material. Enter the nominal PS capacity and the material density.
Plastic Injection Flow Rate
Compute the injection flow rate by dividing the injected volume by the fill time, in cm³/s. It is the speed at which the molten plastic enters the mold — a parameter that controls the shear rate, molecular orientation, surface finish and defects such as jetting or flow marks. High flow fills fast but may degrade; low flow may solidify before filling. Enter the injected volume and the fill time.
Radioactive Activity
Compute the activity of a radioactive sample, A = λ·N, the product of the decay constant (λ) and the number of radioactive nuclei present (N). Activity, measured in becquerel (Bq = 1 disintegration/s) or curie, expresses how many nuclei decay per second. It is the fundamental quantity quantifying a radioactive source, and it decreases over time as nuclei decay. Enter the decay constant and the number of nuclei.
Decay Constant
Compute the radioactive decay constant, λ = ln(2)/T½, from the half-life (T½). The constant λ is the probability of a nucleus decaying per unit time — the larger it is, the more unstable the isotope and the shorter its half-life. It links the half-life (time for half the nuclei to decay) to the activity and to the exponential decay law. Enter the isotope's half-life.
Number of Half-Lives
Compute how many half-lives have elapsed, n = t/T½, and the fraction of radioactive material remaining, (1/2)ⁿ, from the elapsed time and the half-life. With each half-life the amount halves: after 1 half-life 50% remains, after 2 it is 25%, after 10 less than 0.1%. It is the intuitive way to assess how much of a source (or contamination) is left. Enter the elapsed time and the half-life.
Effective Half-Life
Compute the effective half-life of a radionuclide in the body, 1/Teff = 1/Tbio + 1/Tphys, combining the physical half-life (radioactive decay) with the biological one (elimination by the organism). Since both processes reduce the amount simultaneously, the effective half-life is always shorter than either. It is essential in internal dosimetry in nuclear medicine and radiation protection. Enter the biological and physical half-lives.
Half-Value Layer (HVL)
Compute the half-value layer (HVL), HVL = ln(2)/μ, the material thickness that reduces the radiation intensity by half, from the linear attenuation coefficient (μ). It is the practical way to specify shielding: one HVL cuts 50% of the radiation, two HVLs cut 75%, and so on. Dense materials like lead have a small HVL. Enter the linear attenuation coefficient.
Radiation Shielding Attenuation
Compute the radiation intensity after passing through shielding, I = I₀·e^(−μ·x), by the exponential attenuation law, from the initial intensity (I₀), the material's linear attenuation coefficient (μ) and the thickness (x). Unlike alpha and beta particles (which have a finite range), gamma rays and X-rays are only exponentially attenuated — never fully blocked. It is the basis of shielding calculation. Enter the initial intensity, the attenuation coefficient and the thickness.
Inverse Square Law (Radiation)
Compute the radiation intensity at a new distance from a point source, I₂ = I₁·(d₁/d₂)², by the inverse square law: intensity falls with the square of distance. Doubling the distance reduces the dose to a quarter — which is why distance is one of the three basic radiation-protection defenses (time, distance and shielding) and the most effective and cheapest. Enter the initial intensity and distance and the new distance.
Effective Dose
Compute the effective dose, E = H·wT, multiplying the equivalent dose in an organ (H, in mSv) by the tissue weighting factor (wT) reflecting the tissue's radiosensitivity. While the equivalent dose accounts for the radiation type, the effective dose weights the risk by the irradiated organ (gonads and marrow are more sensitive than skin or bone). It is the quantity used in occupational dose limits. Enter the equivalent dose and the tissue weighting factor.
Gamma Exposure Rate
Compute the exposure (or dose) rate of a point gamma source, X = Γ·A/d², from the exposure-rate constant (Γ, specific to the radionuclide), the source activity (A) and the distance (d). It combines the source strength with the inverse square law, allowing you to estimate the dose received at a given distance — fundamental in planning tasks with radioactive sources. Enter the gamma constant, the activity and the distance.
Collective Dose
Compute the collective dose, S = mean individual dose · number of people, in person-sievert (person-Sv), summing the dose received by an entire exposed group. It is the quantity used to assess the total impact of an exposure on a population — in radiation protection, practice optimization and epidemiological studies. Even small individual doses, multiplied by many people, produce a significant collective dose. Enter the mean individual dose and the number of people.
Oil in Place (OOIP)
Compute a reservoir's original oil in place (OOIP) by the volumetric method, OOIP = 7758·A·h·φ·(1−Sw)/Boi, in stock-tank barrels (STB). It combines the reservoir area (acres), the porous thickness (ft), the porosity (φ), the water saturation (Sw) and the oil formation volume factor (Boi). The constant 7758 converts acre-feet into barrels. It is the basis of any oil-field evaluation. Enter the area, thickness, porosity, water saturation and Boi.
Water Saturation (Archie)
Compute a reservoir's water saturation (Sw) by Archie's equation (with a=1, m=2, n=2), Sw = √(Rw/(φ²·Rt)), from the formation-water resistivity (Rw), the rock's true resistivity (Rt) and the porosity (φ). It is the fundamental petrophysics equation: it relates the resistivity measured by electric logs to the fraction of pores filled with water — and, by complement (1−Sw), with hydrocarbons. Enter Rw, Rt and the porosity.
Density-Log Porosity
Compute a reservoir rock's porosity from the density log, φ = (ρma − ρb)/(ρma − ρf), where ρma is the matrix (mineral) density, ρb the bulk density read by the log and ρf the pore-fluid density. It is one of the most used petrophysical methods to estimate porosity in wells, since the bulk density drops as the pore volume (filled by less dense fluid) increases. Enter the matrix, bulk (log) and fluid densities.
Gas-Oil Ratio (GOR)
Compute the gas-oil ratio (GOR) by dividing the produced gas volume by the oil volume, in scf/STB (standard cubic feet per barrel). It is a central petroleum-production parameter: it indicates how much gas accompanies the oil, characterizes the reservoir fluid type (black oil, volatile, gas-condensate) and sizes the surface separation equipment. A rising GOR can signal gas-cap breakthrough at the well. Enter the gas and oil volumes.
Well Productivity Index
Compute an oil well's productivity index (PI), PI = Q/(Pr − Pwf), the ratio of the produced rate to the pressure differential (drawdown) between the reservoir (Pr) and the bottomhole (Pwf). It measures how easily the well produces: a high PI indicates good permeability and reservoir connection. It is the basis of lift design and production forecasting. Enter the rate and the reservoir and bottomhole pressures.
Reservoir Recovery Factor
Compute a reservoir's recovery factor, RF = (Np/N)·100%, the fraction of the original oil (N, or OOIP) that will actually be produced (Np). It is one of the most important — and uncertain — numbers in the industry: primary recovery (natural energy) is usually 5–15%; with secondary recovery (water/gas injection) it rises to 30–50%; and advanced methods (EOR) can go further. It defines the field's economic value. Enter the cumulative production and the original oil in place.
Recoverable Oil Reserves
Compute the recoverable oil reserves by multiplying the original oil in place (OOIP) by the recovery factor (%). While the OOIP is the total volume present in the rock, only a fraction is technically and economically extractable — those are the reserves that actually have value and enter oil companies' books. It is the number behind asset valuations and investment decisions. Enter the OOIP and the recovery factor.
Reservoir Net Pay
Compute a reservoir's net pay (net productive thickness) by multiplying the gross interval thickness by the net-to-gross ratio (N/G), the fraction of rock with enough porosity and permeability to produce. Shale layers, tight rock or water zones are discounted. The net pay, not the total thickness, is what enters the oil and gas volume calculations. Enter the gross thickness and the net-to-gross ratio.
Oil Formation Volume Factor (Bo)
Compute the oil formation volume factor (Bo) by dividing the volume the oil occupies at reservoir conditions by the volume it occupies at the surface (stock-tank barrels). Bo is always greater than 1 because, in the reservoir, the oil is hot and has dissolved gas, occupying more space; as it rises and loses gas and heat, it shrinks. It is essential to convert reservoir volumes into surface production. Enter the volumes at reservoir and surface conditions.
Pore Pressure Gradient
Compute a formation's pore pressure gradient by dividing the pore pressure by the vertical depth, in psi/ft (or kPa/m). The normal saltwater gradient is ~0.465 psi/ft; higher values indicate overpressure (dangerous, can cause kicks and blowouts) and lower ones, underpressure. It is a critical drilling-safety parameter, since it sets the mud weight needed to balance the formation. Enter the pore pressure and the vertical depth.
Reactor Conversion (Batch)
Compute a reactant's conversion, X = (C₀ − C)/C₀·100%, the fraction of reactant consumed in the reaction, from the initial (C₀) and final (C) concentrations. Conversion is the fundamental measure of a chemical reaction's progress: 0% means nothing reacted, 100% that the reactant is exhausted. Together with selectivity and yield, it defines a reactor's performance. Enter the initial and final concentrations.
Chemical Reaction Yield
Compute a chemical reaction's yield, Y = (actual mass obtained / theoretical mass)·100%, comparing what was actually produced with the maximum predicted by stoichiometry. Real reactions rarely reach 100%: there are incomplete reactions, side reactions, purification losses. Yield is the efficiency indicator that separates paper chemistry from lab and industrial chemistry. Enter the actual mass obtained and the theoretical mass.
Reaction Selectivity
Compute a reaction's selectivity, S = moles of desired product / moles of undesired product, when parallel reactions compete for the same reactant. In a chemical plant it is not enough to convert the reactant — it must be steered to the valuable product, not to byproducts. High selectivity reduces waste, separation cost and environmental impact. It is optimized by the choice of catalyst, temperature and time. Enter the moles of desired and undesired product.
Number of Transfer Units (NTU)
Compute the number of transfer units (NTU) of an absorption or stripping column (dilute case), NTU = ln(C_in/C_out), from the inlet and outlet concentrations. NTU measures the 'difficulty' of the separation: the greater the removal desired, the more transfer units are needed. Together with the height of a unit (HTU), it defines the total packing height. Enter the inlet and outlet concentrations.
Packing Height (HTU·NTU)
Compute the packing height of an absorption or distillation column, Z = HTU·NTU, multiplying the height of a transfer unit (HTU, which depends on hydrodynamics and packing type) by the number of transfer units (NTU, which depends on the desired separation). It is the HTU-NTU method of sizing packed columns — it separates the 'kinetic' part (HTU) from the 'thermodynamic' (NTU). Enter the HTU and the NTU.
Minimum Reflux (Underwood)
Estimate the minimum reflux ratio of a binary distillation by Underwood's equation (saturated-liquid feed), Rmin = [xD/xF − α·(1−xD)/(1−xF)]/(α − 1), from the relative volatility (α) and the light-component mole fractions in the distillate (xD) and feed (xF). At minimum reflux, the column would need infinite plates; the operating reflux is a multiple of it (1.1–1.5×). It is a key number in column design. Enter α, xD and xF.
Distribution Coefficient (Extraction)
Compute the distribution (or partition) coefficient of a liquid-liquid extraction, KD = concentration in the extract / concentration in the raffinate, the ratio of how the solute distributes between the two immiscible phases at equilibrium. A high KD means the solvent extracts the solute well, requiring fewer stages and less solvent. It is the central parameter of extractor design and solvent choice. Enter the extract and raffinate concentrations.
Equilibrium Constant from Conversion
Compute the equilibrium constant of a simple A ⇌ B reaction from the equilibrium conversion, Keq = X/(1 − X), where X is the fraction of reactant converted when the reaction reaches equilibrium. It shows the direct relation between how far a reaction 'goes' and its Keq: high conversions (X→1) imply a large Keq (favorable reaction); X = 0.5 gives Keq = 1 (equilibrium in the middle). Enter the equilibrium conversion (fraction).
Actual Plates (Efficiency)
Compute the number of actual plates of a distillation column, N_actual = N_theoretical / (efficiency/100), from the number of theoretical (equilibrium) plates and the column's overall efficiency (%). Since no real plate reaches perfect equilibrium, more actual plates than theoretical are needed: a 50% efficiency doubles the plate count. It is the step that turns the theoretical design into the physical column. Enter the theoretical plates and the overall efficiency.
Optimum Reflux Ratio
Compute a distillation column's operating reflux ratio, R = factor · Rmin, multiplying the minimum reflux by a factor (typically 1.1 to 1.5). There is a classic economic trade-off: a low reflux (near minimum) requires many plates (more column investment); a high reflux requires fewer plates but much more energy in the reboiler and condenser (more operating cost). The optimum balances the two. Enter the minimum reflux and the factor.
Decimal Reduction Time (D-Value)
Compute the decimal reduction time (D-value) of a microorganism, D = t/(log N₀ − log N), the time needed, at a given temperature, to destroy 90% of the population (a one-log reduction). It is the fundamental parameter of thermal death kinetics in food processing: the larger the D, the more heat-resistant the microorganism. Enter the heating time and the initial and final populations.
F₀ Sterilization Value
Compute the F₀ value of a thermal process, F₀ = t·10^((T − 121.1)/z), the equivalent sterilization time at 121.1 °C (250 °F) with z = 10 °C, the reference for Clostridium botulinum. It is the universal 'currency' that compares thermal processes at different temperatures: an F₀ of 3 minutes is the minimum safety for low-acid canned foods (botulinum cook). Enter the time, the process temperature and the z-value.
z-Value (Thermal Resistance)
Compute a microorganism's z-value, z = (T₂ − T₁)/(log D₁ − log D₂), the temperature change needed to alter the D-value (decimal reduction time) by a factor of 10. The z measures the microorganism's temperature sensitivity: the smaller the z, the more the destruction accelerates with heating. It is the basis of converting between processes at different temperatures (F₀, pasteurization). Enter two temperatures and their corresponding D-values.
Pasteurization Units (PU)
Compute the pasteurization units (PU) of a process, PU = t·10^((T − Tref)/z), the lethal time equivalent at a reference temperature. Widely used for beer and juice (Tref = 60 °C, z = 7 °C): a beer needs ~15 PU for microbiological stability. It lets you compare and control pasteurizers operating at different time-temperature combinations. Enter the time, the process temperature, the reference temperature and the z-value.
Moisture: Dry / Wet Basis
Convert a food's moisture from wet basis to dry basis, Xdb = Xwb/(1 − Xwb), where Xwb is the water fraction relative to total mass (wet basis) and Xdb relative to dry mass. The dry basis is preferred in drying calculations because the denominator (dry mass) does not change during the process, unlike the total mass. Confusing the two bases is a common and serious error. Enter the wet-basis moisture (fraction).
Food Specific Heat (Choi-Okos)
Compute a food's specific heat by the Choi-Okos equations, cp = 4.18·Xwater + 1.55·Xprotein + 1.71·Xfat + 1.42·Xcarbohydrate + 0.91·Xash (kJ/kg·K), from the component mass fractions. Since water has a very high specific heat, wetter foods heat and cool more slowly. It is essential in computing the heat loads of cooking, refrigeration and freezing. Enter the water, protein, fat, carbohydrate and ash fractions.
Microbial Lethality
Compute the lethality rate (L-value) of a thermal process, L = 10^((T − Tref)/z), the factor indicating how many times faster (or slower) microbial destruction at a temperature T is than at the reference temperature. Integrated over time, the lethality gives the process F-value. It is the basis of the general-method sterilization calculation, which sums the lethality over the product's actual thermal history. Enter the temperature, the reference temperature and the z-value.
Food Water Activity
Compute a food's water activity (aw) from the equilibrium relative humidity, aw = ERH/100. Water activity — the 'free water' available for reactions and microorganisms — is the most important conservation factor: below aw 0.6 no microorganism grows; bacteria stop at ~0.90, molds at ~0.70. Unlike total moisture, it explains why honey (moist but with low aw) does not spoil. Enter the equilibrium relative humidity (%).
Extraction Yield (Solid)
Compute the yield of a solid-liquid extraction, Y = (extract mass / sample mass)·100%, the fraction of raw material extracted by the solvent. It is used in processes such as the extraction of oils, caffeine, pectin, dyes and bioactive compounds from plant matrices. The yield assesses extraction efficiency and guides the optimization of solvent, temperature, time and solid-liquid ratio. Enter the extract mass and the sample mass.
Potential Alcohol from Brix
Estimate the potential alcohol of a must (wine, beer, kombucha) from the sugar content in degrees Brix, %ABV ≈ Brix · 0.55, assuming complete fermentation of the sugars. Brix measures the soluble solids (mostly sugar) of the must; fermentation converts that sugar into alcohol and carbon dioxide. It is a quick estimate used by winemakers and brewers to predict the final strength. Enter the content in degrees Brix.
Carnot COP (Refrigeration)
Compute the maximum theoretical coefficient of performance (COP) of a refrigerator, COP = Tc/(Th − Tc), with temperatures in kelvin, where Tc is the cold-source (evaporator) temperature and Th the hot-source (condenser). It is the limit set by the 2nd law of thermodynamics: no real refrigerator can exceed it. The smaller the temperature difference between the sources, the higher the possible COP — which is why refrigerating to very low temperatures is so costly. Enter the cold and hot temperatures in kelvin.
Compressor Work (Isentropic)
Compute the specific compression work in an ideal refrigeration cycle, W = h₂ − h₁, the enthalpy difference between the compressor outlet and inlet (isentropic compression, at constant entropy). It is the energy the compressor adds to the refrigerant per kilogram — the cycle's 'electricity bill'. Together with the refrigerating effect, it defines the COP (COP = refrigerating effect/work). Enter the outlet and inlet enthalpies.
Compressor Volumetric Efficiency
Compute a compressor's volumetric efficiency, ηv = (actual suction flow / volumetric displacement)·100%, the fraction of the piston-swept volume that actually pumps gas. Losses come from clearance volume (gas that re-expands), suction reheating and leakage. It drops as the compression ratio rises. It is a key indicator of compressor performance. Enter the actual suction flow and the volumetric displacement.
Compression Ratio (Refrigeration)
Compute a refrigeration system's compression ratio, rc = Pcondensation/Pevaporation, the ratio of the compressor's absolute discharge to suction pressures. High ratios (above ~10) lower volumetric efficiency, raise the discharge temperature (risking oil and refrigerant degradation) and may require two-stage compression — common at low temperatures and in cryogenics. Enter the condensation and evaporation pressures (absolute).
Superheat Degree
Compute the superheat of a refrigeration system, ΔT = T_suction − T_evaporation(saturation), how much hotter the refrigerant vapor is than its saturation temperature at the evaporator pressure. Proper superheat (typically 5–10 °C) ensures only vapor (no liquid) reaches the compressor, protecting it from liquid slugging. Too much superheat reduces capacity. It is controlled by the expansion valve. Enter the suction and saturated evaporation temperatures.
Subcooling Degree
Compute the subcooling of a refrigeration system, ΔT = T_condensation(saturation) − T_liquid, how much colder the liquid refrigerant is than its saturation temperature at the condenser pressure. Proper subcooling (typically 4–8 °C) ensures pure liquid (no vapor bubbles) at the expansion-valve inlet, avoiding flash gas that reduces capacity. It increases the refrigerating effect. Enter the saturated condensation temperature and the liquid temperature.
Compressor Volumetric Displacement
Compute the volumetric displacement of a reciprocating compressor, Vd = (π/4)·D²·L·n, the volume swept by the pistons, from the cylinder bore (D), the stroke (L) and the number of cylinders (n). It is the compressor's 'displacement' — the theoretical volume aspirated per revolution, which, multiplied by the speed and the volumetric efficiency, gives the actual flow. It defines the compressor capacity. Enter the bore, the stroke and the number of cylinders.
Refrigerant Mass Flow
Compute the refrigerant mass flow needed in a cycle, ṁ = refrigerating capacity / refrigerating effect, dividing the desired cooling load (kW) by the specific refrigerating effect (kJ/kg, the enthalpy absorbed per kilo at the evaporator). It is how much refrigerant must circulate per second to meet the demand — the basis for sizing the compressor, the piping and the system gas charge. Enter the refrigerating capacity and the refrigerating effect.
Real COP / Carnot Efficiency
Compute a refrigerator's second-law efficiency, η = (real COP/Carnot COP)·100%, comparing the measured real COP with the theoretical Carnot maximum for the same temperatures. It shows how close to thermodynamic perfection the system operates: real systems are typically at 40–60% of Carnot, due to compression irreversibilities, pressure losses and finite temperature differences in the heat exchangers. Enter the real COP and the Carnot COP.
Cold Room Heat Load
Compute the product cooling heat load in a cold room, Q = m·cp·ΔT, from the product mass, its specific heat and the desired temperature change. It is the sensible-heat portion to remove to lower the product temperature — one of the components of the room's total load (which also includes wall transmission, infiltration, lighting, motors and people). It defines the refrigerating capacity needed. Enter the mass, the specific heat and the ΔT.
Pulping Yield
Compute the yield of a pulping (wood cooking) process, Y = (dry pulp mass / dry wood mass)·100%, the fraction of wood converted into usable cellulose. Chemical (kraft) pulping has a low yield (~45–55%), since it dissolves lignin and part of the hemicelluloses; mechanical pulping reaches ~95%, but with lower-quality fibers. It is a central indicator of the process economics and type. Enter the dry pulp mass and the dry wood mass.
Kappa Number → Lignin
Estimate the residual lignin content of a cellulose pulp from the Kappa number, Lignin% ≈ Kappa · 0.15. The Kappa number measures the pulp's permanganate consumption, proportional to the lignin remaining after cooking — the higher the Kappa, the more lignin (dark color, stiffer fibers) remained. It is the main control of delignification, defining the bleaching load needed. Enter the Kappa number.
Fiber Suspension Consistency
Compute the consistency of a fiber suspension, C = (dry fiber mass / total suspension mass)·100%, the fiber concentration in the water, a control parameter throughout the paper mill. The suspension is very dilute at the start (low consistency, ~0.5%, to form the sheet uniformly) and concentrates along the machine. Controlling consistency is essential for sheet formation and water and energy use. Enter the dry fiber mass and the total suspension mass.
Paper Tensile Index
Compute the paper tensile index, index = tensile strength (N/m) / grammage (g/m²), in N·m/g, normalizing the strength by the grammage to allow comparing papers of different weights. It is one of the most important mechanical properties, linked to fiber strength, inter-fiber bonding and refining. Packaging and sack papers require a high tensile index. Enter the tensile strength and the grammage.
Paper Bulk (Specific Volume)
Compute the bulk (apparent specific volume) of paper, bulk = thickness (µm) / grammage (g/m²), in cm³/g, the inverse of density. A high bulk means a 'fluffier', more voluminous paper for the same weight (book papers, boards, tissue), giving stiffness and softness; a low bulk gives dense, thin paper (high-quality printing papers, glassine). It is a key paper-design parameter. Enter the thickness and the grammage.
Paper Breaking Length
Compute the breaking length (self-rupture) of paper, L = tensile index / 9.80665, in km — the length of a paper strip that, hung from one end, would break under its own weight. It is an intuitive, classic way to express tensile strength, independent of grammage. Common papers break around 3–8 km; high-strength papers, more. Enter the tensile index (N·m/g).
Cobb (Paper Water Absorption)
Compute the Cobb value of a paper, Cobb = mass gain (g) / area (m²), in g/m², the amount of water absorbed by one face of the paper in a standardized time (usually 60 s). It measures resistance to water penetration, crucial in packaging papers, printing (glue/ink control) and products that contact liquids. A low Cobb indicates good sizing. Enter the mass gain and the tested area.
Paper Tear Index
Compute the paper tear index, index = tear force (mN) / grammage (g/m²), in mN·m²/g, normalizing the tear resistance by the grammage. Tearing depends greatly on fiber length (long fibers resist more) — which is why packaging papers use long softwood fibers. It is a property that often competes with tensile (more refining raises tensile but lowers tear). Enter the tear force and the grammage.
Ash Content (Mineral Filler)
Compute the ash content of a paper, ash = (ash mass after ignition / paper mass)·100%, corresponding to the mineral filler (fillers and mineral pigments such as calcium carbonate, kaolin and titanium dioxide) added to the sheet. Fillers improve opacity, brightness, smoothness and cost (replacing expensive fiber), but in excess reduce strength. Printing papers have 10–25% ash. Enter the ash mass and the paper mass.
Paper Burst Index
Compute the burst index of paper, index = burst strength (kPa) / grammage (g/m²), in kPa·m²/g, normalizing the bursting pressure by the grammage. The Mullen test applies increasing pressure with a rubber diaphragm until the sheet ruptures. It is the most used strength property in packaging papers, sacks and corrugated board, reflecting combined tensile and stretch. Enter the burst strength and the grammage.
Firing Shrinkage (Ceramic)
Compute the linear firing shrinkage of a ceramic piece, FS = (L_dry − L_fired)/L_dry·100%, the size reduction during sintering in the kiln, when pores close and particles draw together. It is a critical dimensional-control parameter: porcelain tiles shrink a lot (~7%), while porous ceramics shrink little. Variations in shrinkage cause product miscalibration. Enter the dry and fired lengths.
Water Absorption (Ceramic)
Compute the water absorption of a ceramic piece, WA = (wet mass − dry mass)/dry mass·100%, the amount of water the open pores absorb by immersion. It is the property that classifies ceramic tiles: porcelain (WA ≤ 0.5%, very dense and strong), stoneware, semi-stoneware, semi-porous and porous (wall tile, WA > 10%). The lower the absorption, the more sintered and resistant the piece. Enter the wet mass and the dry mass.
Apparent Porosity (Ceramic)
Compute a ceramic's apparent porosity, AP = (wet mass − dry mass)/(wet mass − immersed mass)·100%, the volume fraction occupied by open pores (accessible to water), measured by Archimedes' method. Unlike water absorption (relative to mass), apparent porosity is relative to volume. Open pores reduce mechanical strength and increase permeability. Enter the wet, dry and immersed masses (hydrostatic weighing).
Bulk Density (Ceramic)
Compute the bulk (apparent) density of a ceramic, BD = dry mass/(wet mass − immersed mass), by Archimedes' method, considering the total piece volume (including pores). It is an indicator of the densification achieved in firing: higher bulk density means fewer pores and generally higher strength. Water density (1 g/cm³) is used in the hydrostatic weighing. Enter the dry, wet and immersed masses.
Loss on Ignition (Ceramic)
Compute the loss on ignition (LOI) of a ceramic raw material, LOI = (mass before − mass after ignition)/mass before·100%, the mass lost during heating at high temperature. It corresponds to the release of combined water (clay minerals), the burning of organic matter and the decomposition of carbonates (releasing CO₂). A high LOI indicates much clay/volatile matter and requires care to avoid defects (bubbles, cracks). Enter the mass before and after ignition.
Flexural Modulus of Rupture (Ceramic)
Compute the three-point flexural modulus of rupture (MOR) of a ceramic, MOR = 3·F·L/(2·b·d²), from the breaking load (F), the support span (L), the width (b) and the thickness (d) of the test bar. It is the main mechanical-strength measure of ceramics and tiles (ISO 10545): porcelain tiles exceed 35 MPa. The d² dependence shows why thicker pieces resist far more. Enter the load, the support span, the width and the thickness.
Drying Shrinkage (Ceramic)
Compute the linear drying shrinkage of a ceramic piece, DS = (L_wet − L_dry)/L_wet·100%, the size reduction as it loses the forming water before firing. The water that separated the clay particles evaporates and they draw together. Excessive or non-uniform drying shrinkage causes cracks and warping — which is why drying is slow and controlled. Enter the wet and dry lengths.
Sintering Relative Density
Compute the relative density of a sintered body, RD = (bulk density/theoretical density)·100%, the fraction of the maximum density (of the fully dense, pore-free material) the piece reached. It is the central measure of the degree of sintering: advanced ceramics aim for RD above 99% (almost pore-free) for maximum strength and properties. The residual porosity is 100% − RD. Enter the bulk (sintered) density and the theoretical density.
Total Shrinkage (Ceramic)
Compute the total linear shrinkage of a ceramic piece, TS = (L_wet − L_fired)/L_wet·100%, combining the drying and firing effects from the formed piece to the final product. It is the shrinkage the mold designer must compensate for: the cavity must be larger than the final piece by the total shrinkage, so the fired piece comes out at the exact size. Enter the wet (formed) and fired (final) lengths.
Vitrification Degree (Ceramic)
Estimate the vitrification degree of a ceramic, VD = (1 − WA/WA_green)·100%, comparing the current water absorption with that of the green (non-vitrified) material, as a measure of how much the glassy phase filled the pores during firing. Vitrification — the formation of molten glass that seals the pores — densifies the piece, lowers absorption and raises strength and impermeability. It is what turns porous clay into vitreous porcelain. Enter the current and green water absorptions.
Volumetric Organic Loading Rate
Calculate the volumetric organic loading rate (OLR) of a biological reactor, OLR = BOD load ÷ volume, dividing the influent organic load (kg BOD/day) by the reactor's working volume (m³). The result, in kg BOD/(m³·day), shows how much organic matter is applied per unit volume and is central to sizing lagoons, trickling filters, UASB and activated sludge: high loads demand more biomass and oxygen, while low loads indicate an oversized reactor. Enter the daily BOD load and the reactor volume.
Hydraulic Retention Time (HRT)
Calculate the hydraulic retention time (HRT) of a reactor or tank, HRT = volume ÷ flow, dividing the working volume (m³) by the influent flow (m³/h). The result, in hours, is the average time the liquid stays in the unit and is decisive in designing clarifiers, anaerobic reactors, lagoons and aeration tanks: short times prevent reactions or settling from completing, while long times raise cost and footprint. Enter the working volume and the inlet flow.
Sludge Volume Index (SVI)
Calculate the sludge volume index (SVI), SVI = (V₃₀ × 1000) ÷ MLSS, from the 30-minute settled sludge volume (mL/L) and the mixed-liquor suspended solids concentration (mg/L). The result, in mL/g, measures activated-sludge settleability: values of 50–150 mL/g indicate well-settling sludge, while values above 150 signal filamentous bulking that impairs clarification. Enter the settled volume and the MLSS concentration.
Solids Loading Rate (Clarifier)
Calculate the solids loading rate (SLR) of a secondary clarifier, SLR = Q × X ÷ A, multiplying the flow (m³/day) by the mixed-liquor solids concentration (mg/L, converted to kg/m³) and dividing by the surface area (m²). The result, in kg/(m²·day), is a design criterion independent of the surface overflow (hydraulic) rate: an activated-sludge secondary clarifier must satisfy both the hydraulic limit and the solids loading limit, since it receives a concentrated mixed liquor that must thicken at the bottom. Excessive solids loading causes sludge to wash out with the effluent. Enter the flow, the solids concentration and the clarifier area.
Sludge Recycle Ratio
Calculate the sludge recycle ratio (R) of an activated-sludge system by mass balance, R = X ÷ (X_r − X), from the mixed-liquor suspended solids (MLSS) and the return sludge concentration. The result (dimensionless, or ×100%) gives the fraction of influent flow that must be recycled from the secondary clarifier to keep the desired biomass in the reactor. Typical ratios range from 0.25 to 1.0. Enter the reactor MLSS and the return sludge concentration.
Oxygen Requirement (Aeration)
Calculate the oxygen requirement of an aerobic treatment system, O₂ = Q × ΔS ÷ 1000 × f, multiplying the flow (m³/day) by the BOD removed (mg/L) and an oxygen-demand factor (typically 1.0–1.5 kg O₂/kg BOD). The result, in kg O₂/day, sizes blowers and aerators in activated sludge and aerated lagoons, ensuring enough oxygen for the biological oxidation of organic matter. Enter the flow, the BOD removed and the oxygenation factor.
Velocity Gradient (Mixing)
Calculate the mean velocity gradient (G) in rapid-mix and flocculation chambers, G = √(P ÷ (μ × V)), from the dissipated power (W), the water dynamic viscosity (Pa·s) and the chamber volume (m³). The result, in s⁻¹, measures mixing intensity: rapid mixing needs high G (700–1000 s⁻¹) to disperse the coagulant, while flocculation uses low G (20–70 s⁻¹) to promote floc collision and growth without breaking them. Enter power, viscosity and volume.
Chlorine Demand
Calculate the chlorine demand of a water, demand = applied dose − chlorine residual, subtracting the measured chlorine residual (mg/L) from the applied chlorine dose (mg/L). The result, in mg/L, is the chlorine consumed by organic matter, ammonia, iron, manganese and other reducers before free chlorine remains for disinfection. Knowing the demand is essential to dose chlorine correctly and keep an adequate residual in the network without waste or underdosing. Enter the applied dose and the measured residual.
Sludge Production
Calculate the biological sludge production of a plant, P_x = Y × ΔS ÷ 1000 × Q, multiplying the cell yield coefficient (Y, kg VSS/kg BOD), the BOD removed (mg/L) and the flow (m³/day). The result, in kg/day, estimates the excess sludge mass generated by biomass growth, key to sizing wasting, thickening, dewatering and final disposal — a step that often drives much of a treatment plant's operating cost. Enter the yield Y, the BOD removed and the flow.
Coagulant Dosing
Calculate the coagulant consumption of a water treatment plant, consumption = flow × dose ÷ 1000, multiplying the treated flow (m³/day) by the coagulant dose (mg/L) set by jar test. The result, in kg/day, sizes the storage, dilution and dosing pumps for products such as aluminium sulphate, ferric chloride or PAC, ensuring efficient coagulation of colloidal particles. Enter the treated flow and the coagulant dose.
Boiler Efficiency
Calculate the thermal efficiency of a boiler by the direct method, η = (m_steam × Δh) ÷ (m_fuel × LHV) × 100%, comparing the useful heat absorbed by the water/steam (steam flow × enthalpy gain) with the energy released by burning the fuel (fuel flow × lower heating value). The result, in %, shows how much fuel energy actually reached the steam; the rest is lost in flue gases, blowdown, radiation and unburnt fuel. Well-run industrial boilers reach 80–90%. Enter the steam flow, enthalpy gain, fuel flow and LHV.
Rankine Cycle Efficiency
Calculate the thermal efficiency of a Rankine cycle, η = (w_turbine − w_pump) ÷ q_boiler × 100%, dividing the net work (turbine work minus pump work) by the heat added in the boiler, all in kJ/kg. The Rankine cycle is the basis of steam power plants: water is pumped, heated and vaporized in the boiler, expands through the turbine producing work, then condenses. The result, in %, measures how much boiler heat becomes useful work; real cycles run 30–45%. Enter the turbine work, the pump work and the boiler heat.
Steam Turbine Power
Calculate the mechanical power generated by a steam turbine, P = ṁ × (h₁ − h₂), multiplying the steam mass flow (kg/s) by the enthalpy drop between turbine inlet and outlet (kJ/kg). The result, in kW, is the shaft power delivered to the generator, accounting for the expansion of high-pressure, high-temperature steam down to condenser pressure. It is the core calculation in sizing thermal power and cogeneration plants: the larger the enthalpy drop, the more power per kg of steam. Enter the steam flow and the inlet and outlet enthalpies.
Pump Work (Rankine)
Calculate the specific work consumed by the pump of a Rankine cycle, w_pump = v × (P₂ − P₁), multiplying the liquid specific volume (m³/kg, ~0.001 for water) by the pump pressure rise (kPa). The result, in kJ/kg, is the energy spent pressurizing the condensate before the boiler. Because the liquid is nearly incompressible, this work is tiny compared with the turbine's — which is why the Rankine cycle pumps a liquid (not a gas, as a gas Carnot cycle would), sharply reducing the back work. Enter the specific volume and the pump outlet and inlet pressures.
Back Work Ratio (BWR)
Calculate the back work ratio (BWR) of a power cycle, BWR = w_compressor ÷ w_turbine, dividing the work consumed by the compressor (or pump) by the gross work produced by the turbine. The dimensionless result shows what fraction of turbine work is reinvested to compress the fluid. In gas turbines (Brayton cycle) the BWR is high (0.4–0.6), since compressing gas is costly; in steam Rankine cycles it is tiny (~0.01), since pumping liquid is cheap. A high BWR makes the cycle sensitive to component efficiencies. Enter the compressor work and the turbine work.
Specific Steam Consumption
Calculate the specific steam consumption (steam rate) of a turbine, SSC = 3600 ÷ Δh, dividing 3600 (s/h) by the available enthalpy drop in the turbine (kJ/kg). The result, in kg/kWh, gives how many kilograms of steam are needed to generate one kilowatt-hour. The lower the specific consumption, the more efficient the conversion: larger enthalpy drops (hotter steam and greater expansion) cut the steam needed per kWh. It is a practical indicator to compare turbines and estimate the steam flow required for a given power. Enter the available enthalpy drop.
Heat Rate
Calculate the heat rate of a power plant, HR = 360000 ÷ η, dividing 360000 by the thermal efficiency in percent. The result, in kJ/kWh, is the fuel energy consumed to generate one kilowatt-hour of electricity — the inverse of efficiency expressed on an energy basis. It is the power-generation industry's standard metric: the lower the heat rate, the more efficient and economical the plant. A 40% efficiency equals 9000 kJ/kWh; modern combined-cycle plants reach ~6000 kJ/kWh. It lets you compare plants and estimate fuel use. Enter the thermal efficiency in percent.
Combined Cycle Efficiency
Calculate the efficiency of a gas-steam combined cycle, η_cc = η_gas + η_steam − (η_gas × η_steam ÷ 100), combining the gas turbine efficiency (Brayton, topping) with the steam cycle (Rankine, bottoming) that recovers heat from the exhaust gases. The result, in %, exceeds either cycle alone because the heat rejected by the gas turbine, instead of being wasted, raises steam for a second turbine. This is why modern combined-cycle plants top 60% efficiency, the highest in thermal generation. Enter the gas-cycle and steam-cycle efficiencies (in %).
Steam Quality
Calculate the quality (title) of a wet steam, x = (h − h_f) ÷ (h_g − h_f), from the mixture enthalpy and the enthalpies of saturated liquid (h_f) and saturated vapour (h_g) at the same pressure. The result (between 0 and 1, or ×100%) is the vapour mass fraction in the liquid-vapour mixture: x = 0 is saturated liquid, x = 1 is dry saturated vapour, and intermediate values are wet steam. Quality is essential in steam cycles to know the state at the turbine outlet (very low quality erodes the blades) and at the condenser inlet. Enter the mixture enthalpy, h_f and h_g.
Regenerator Effectiveness
Calculate the effectiveness of a regenerator (heat recuperator), ε = (T_out − T_in) ÷ (T_hot − T_in), comparing the actual heating of the cold fluid with the maximum possible (if it reached the hot exhaust gas temperature). The result (between 0 and 1, or ×100%) measures heat-exchange effectiveness: a regenerator uses a gas turbine's exhaust heat to preheat the air before the combustor, cutting fuel use and raising the regenerative Brayton cycle efficiency. Typical effectiveness is 0.7–0.9. Enter the inlet, outlet and hot-gas temperatures.
Vickers Hardness (HV)
Calculate the Vickers hardness, HV = 1.8544 × F ÷ d², from the applied load F (kgf) and the mean diagonal d (mm) of the indentation left by a square-based diamond pyramid indenter (136° angle). The result, in kgf/mm² (HV), measures the material's resistance to penetration. The Vickers test is versatile: one scale spans soft to extremely hard materials, and with small loads (microhardness) it can measure individual phases, thin layers and weld-adjacent regions. Enter the load and the mean indentation diagonal.
Knoop Hardness (HK)
Calculate the Knoop hardness, HK = 14.229 × F ÷ d², from the load F (kgf) and the long diagonal d (mm) of the elongated rhombic indentation left by a Knoop diamond indenter. The result, in kgf/mm² (HK), is used mainly for microhardness of brittle materials, coatings, glass and ceramics, and thin samples: the Knoop's elongated, shallow indentation measures narrow layers and hardness gradients better than Vickers and is less sensitive to microcracking. Enter the load and the long diagonal of the indentation.
True Strain
Calculate the true (logarithmic) strain, ε = ln(1 + e), from the engineering strain e (dimensionless or fractional). While engineering strain uses the fixed initial length as reference, true strain integrates the instantaneous length changes, being additive and better suited to large plastic deformations such as in metal forming (rolling, extrusion, drawing). The result is the actual strain accumulated by the material. For small strains, ε ≈ e; the difference grows as strain increases. Enter the engineering strain.
True Stress
Calculate the true stress, σ_t = s × (1 + e), from the engineering stress s (MPa) and the engineering strain e. Engineering stress uses the specimen's initial area, but during a tensile test the real cross-section shrinks; true stress corrects this using the instantaneous area (assuming constant volume in the uniform region), always giving a higher value than engineering stress. It is essential to build the true stress-strain curve and model strain hardening (σ = K·εⁿ). The result is in the same unit as the input stress. Enter the engineering stress and strain.
Stress Intensity Factor (K)
Calculate the stress intensity factor, K = Y × σ × √(π·a), from the geometry factor Y (dimensionless), the applied stress σ (MPa) and the crack size a (m). The result, in MPa·√m, quantifies the intensity of the stress field at a crack tip, the central concept of fracture mechanics. When K reaches the material's fracture toughness (K_IC), the crack propagates unstably and failure occurs — even at stresses well below the yield strength. It is the basis of damage-tolerant design. Enter the geometry factor, the stress and the crack size.
Percent Cold Work
Calculate the percent cold work (area reduction), %CW = (A₀ − A_f) ÷ A₀ × 100%, from the initial cross-section area A₀ and the final area A_f after cold plastic deformation (rolling, drawing, stamping). The result, in %, shows how much the material was deformed below the recrystallization temperature. Cold work strain-hardens the metal: it raises the yield strength and hardness and lowers ductility as dislocations multiply and tangle. It is the parameter used to control properties before an anneal. Enter the initial and final areas.
Fillet Weld Throat
Calculate the effective throat of a fillet weld, a = 0.707 × z, from the leg z of the fillet. For an equal-leg fillet, the throat — the smallest dimension of the resisting section, from root to face — equals the leg times sin(45°) ≈ 0.707. The result, in the same unit as the leg (mm), is the dimension used to calculate the strength of the welded joint, since the weld tends to fail across this minimum section. Sizing the throat correctly ensures the weld carries the design load. Enter the fillet leg.
Modulus of Resilience
Calculate the modulus of resilience, U_r = σ_y² ÷ (2·E), from the yield strength σ_y (MPa) and the elastic modulus E (MPa). The result, in MJ/m³ (equivalent to MPa), is the strain energy the material absorbs per unit volume up to the elastic limit — the area under the linear part of the stress-strain curve. Materials with high yield strength and low modulus (like spring steels) have high resilience: they store much elastic energy and return it on unloading, with no permanent deformation. Enter the yield strength and the elastic modulus.
Larson-Miller Parameter (Creep)
Calculate the Larson-Miller parameter, LMP = T × (C + log₁₀ t), from the absolute temperature T (K), the material constant C (typically ~20) and the time to rupture t (hours). The parameter combines temperature and time into a single number that correlates creep behaviour: short high-temperature tests predict service life at lower temperatures over long periods. It is widely used to estimate the life of components operating hot under constant load — turbine blades, boiler tubing, pressure vessels. Enter the temperature, the constant C and the rupture time.
Percent Elongation
Calculate the percent elongation, A% = (L_f − L₀) ÷ L₀ × 100%, from the initial gauge length L₀ and the final length L_f measured after rupture in a tensile test (fitting the two halves of the specimen back together). The result, in %, is a direct measure of the material's ductility — how much it stretches before breaking. Ductile steels reach 20–40%; brittle materials, a few percent. Elongation depends on the gauge length used, so it is always quoted with it (e.g. A% over 50 mm). Enter the initial and final lengths.
Corrosion Rate (Mass Loss)
Calculate the corrosion rate by the mass-loss method, CR = 87.6 × W ÷ (D × A × t), from the mass loss W (mg), the material density D (g/cm³), the exposed area A (cm²) and the exposure time t (hours). The result, in mm/year, is the average speed at which the metal is consumed by corrosion — the key parameter to predict the service life of structures, piping and equipment and to set the corrosion allowance in design. Rates below 0.1 mm/year are usually acceptable. Enter the mass loss, density, area and time.
Electrochemical Equivalent Weight
Calculate the electrochemical equivalent weight, EW = M ÷ n, dividing the element's molar mass M (g/mol) by the number of electrons exchanged n (valence). The result, in g/eq, is the mass associated with transferring one mole of electrons and appears in nearly every electrochemical calculation: Faraday's law, electrochemical corrosion rate, electrodeposition and anode sizing. For divalent iron (Fe²⁺), for example, EW = 55.85 ÷ 2 ≈ 27.9 g/eq. Enter the molar mass and the number of electrons exchanged.
Pilling-Bedworth Ratio (PBR)
Calculate the Pilling-Bedworth ratio, PBR = (M_oxide × ρ_metal) ÷ (n × M_metal × ρ_oxide), comparing the volume of oxide formed with the volume of metal consumed in oxidation. The dimensionless result predicts whether the oxide layer protects the metal: PBR < 1 gives a porous, non-protective oxide (continuous oxidation, as in alkali metals); 1 < PBR < 2 forms an adherent, protective layer (aluminium and chromium, the basis of passivation); PBR > 2 produces an oxide under compression that tends to crack and spall. Enter the molar masses, densities and the number of metal atoms per oxide molecule.
Tafel Overpotential
Calculate the activation overpotential by the Tafel equation, η = a + b × log₁₀(i), from the Tafel constant a (V), the Tafel slope b (V/decade) and the current density i. The result, in volts, is the overpotential — how far an electrode's potential departs from equilibrium — needed to sustain a given current density in an activation-controlled electrochemical reaction. The Tafel relation is central to electrode kinetics, corrosion (extrapolation to obtain the corrosion current) and electrolysis. Enter the Tafel constant, slope and current density.
Corrosion Thickness Loss
Calculate the cumulative thickness lost to corrosion, δ = CR × t, multiplying the corrosion rate CR (mm/year) by the service time t (years). The result, in mm, is the depth of material consumed over the period — direct input to assess the integrity of piping, tanks and structures and to decide on inspection, repair or replacement. Compared with the corrosion allowance set in design, it shows how much of the margin is already used and estimates the component's remaining life. Enter the corrosion rate and the service time.
Faradaic Efficiency
Calculate the faradaic efficiency (current efficiency), η = (m_actual ÷ m_theoretical) × 100%, comparing the mass of product actually deposited or consumed with the theoretical mass predicted by Faraday's law for the charge that passed. The result, in %, measures what fraction of the current was actually used in the desired reaction; the rest is lost to side reactions (such as hydrogen or oxygen evolution) or short circuits. It is a key indicator in electrodeposition, industrial electrolysis, electroplating and batteries. Enter the actual mass obtained and the theoretical mass.
Electrode Potential (Nernst)
Calculate the electrode potential by the Nernst equation at 25 °C, E = E° − (0.0592 ÷ n) × log₁₀(Q), from the standard potential E° (V), the number of electrons exchanged n and the reaction quotient Q (ratio of product to reactant activities). The result, in volts, is the actual electrode potential under non-standard conditions — essential to predict the spontaneity of redox reactions, a metal's tendency to corrode in a given medium and the operation of cells, batteries and electrochemical sensors. Enter the standard potential, the number of electrons and the reaction quotient.
Cathodic Protection Current
Calculate the current needed for cathodic protection, I = current density × area ÷ 1000, multiplying the required protection current density (mA/m²) by the metal surface area to protect (m²). The result, in amperes, sizes cathodic protection systems — impressed current or sacrificial anodes — that protect pipelines, buried tanks, ship hulls and offshore structures by polarizing the metal to a corrosion-immune potential. The required density depends on the medium and the coating. Enter the protection current density and the area to protect.
Sacrificial Anode Life
Calculate the life of a sacrificial anode, life = (mass × capacity) ÷ (current × 8760), from the anode mass (kg), the material's current capacity (A·h/kg), the protection current drained (A) and the 8760 hours in a year. The result, in years, shows how long the anode (zinc, aluminium or magnesium) will provide protection before being consumed and needing replacement — essential in designing galvanic cathodic protection of tanks, pipelines and marine structures. Enter the mass, the material capacity and the current.
Corrosion Inhibitor Efficiency
Calculate the efficiency of a corrosion inhibitor, η = (CR₀ − CR_inh) ÷ CR₀ × 100%, comparing the corrosion rate without inhibitor (CR₀) with the rate in its presence (CR_inh). The result, in %, measures how much the inhibitor slowed corrosion — the standard indicator to evaluate and compare inhibitors in laboratory tests (mass loss, polarization or impedance). Effective inhibitors form protective films on the surface and reach efficiencies above 90%. It is widely used in boiler water treatment, cooling systems and well acidizing. Enter the corrosion rates without and with inhibitor.
Free Space Path Loss (FSPL)
Calculate the free space path loss (FSPL), L = 20·log₁₀(d) + 20·log₁₀(f) + 32.44, from the distance d (km) and the frequency f (MHz). The result, in dB, is the attenuation a radio signal suffers simply by spreading through space, with no obstacles — proportional to the square of distance and frequency. It is the central term of any link budget: the greater the distance or frequency, the higher the loss and thus the more power or antenna gain needed. The 32.44 constant applies for km and MHz. Enter the distance and the frequency.
Fresnel Zone Radius
Calculate the first Fresnel zone radius, r = 17.31·√(d₁·d₂ ÷ (f·(d₁+d₂))), from the distances of each end to the point d₁ and d₂ (km) and the frequency f (GHz). The result, in metres, defines the ellipsoid around the line of sight that must stay clear of obstacles for a radio link to work without diffraction loss. Rule of thumb: at least 60% of the first Fresnel zone should be unobstructed. It is essential in designing point-to-point, microwave and long-range Wi-Fi links. Enter the distances and the frequency.
VSWR (Standing Wave Ratio)
Calculate the voltage standing wave ratio (VSWR), VSWR = (1 + |Γ|) ÷ (1 − |Γ|), from the magnitude of the reflection coefficient |Γ|. The result (dimensionless, expressed as X:1) measures how well an antenna or load is matched to the transmission line: VSWR = 1:1 is a perfect match (all power delivered); higher values mean part of the wave is reflected back, forming standing waves that reduce efficiency and may damage the transmitter. Typically VSWR up to 1.5:1 or 2:1 is acceptable. Enter the magnitude of the reflection coefficient.
EIRP (Effective Radiated Power)
Calculate the equivalent isotropically radiated power (EIRP), EIRP = P_tx + G − L, adding the transmitter power P_tx (dBm) to the antenna gain G (dBi) and subtracting cable and connector losses L (dB). The result, in dBm, is the power a theoretical isotropic antenna would need to radiate to produce the same power density in the direction of the real antenna's maximum gain. It is the quantity regulated by telecom authorities (legal EIRP limits) and the transmit-side starting point of a link budget. Enter the transmitter power, the antenna gain and the losses.
Channel Capacity (Shannon)
Calculate the maximum channel capacity by the Shannon-Hartley law, C = B·log₂(1 + SNR), from the bandwidth B (Hz) and the signal-to-noise ratio SNR (linear value, not in dB). The result, in bits per second, is the absolute theoretical limit of error-free data rate a noisy channel can support — no modulation or coding can beat it. It shows the two paths to more speed: widen the bandwidth or improve the signal-to-noise ratio. It is a pillar of information theory and digital communication system design. Enter the bandwidth and the linear SNR.
Reflection Coefficient
Calculate the reflection coefficient, Γ = (Z_L − Z₀) ÷ (Z_L + Z₀), from the load impedance Z_L and the line's characteristic impedance Z₀ (ohms). The result (dimensionless, between −1 and 1) gives the fraction of the incident wave reflected by the impedance discontinuity: Γ = 0 means a perfect match (no reflection); Γ = ±1 is total reflection (open or short circuit). It is the basis of impedance matching in transmission lines and relates directly to VSWR and return loss. Enter the load impedance and the characteristic impedance.
Parabolic Antenna Gain
Calculate the gain of a parabolic antenna, G = 10·log₁₀(η·(π·D ÷ λ)²), from the aperture efficiency η (typically 0.5–0.7), the reflector diameter D (m) and the wavelength λ (from λ = 0.3/f, with f in GHz). The result, in dBi, shows the gain grows with the square of diameter and frequency: larger dishes and higher frequencies concentrate energy into narrower, more directive beams. It is the fundamental calculation in designing microwave, radar and satellite communication antennas. Enter the efficiency, the diameter and the frequency.
Half-Wave Dipole Length
Calculate the physical length of a half-wave dipole, L = (150 ÷ f)·VF, from the frequency f (MHz) and the velocity factor VF (typically ~0.95 for wires, correcting the end effect). The result, in metres, is the total length of the dipole antenna resonant at the desired frequency — each arm is half this value. The half-wave dipole is the most used reference antenna, with 2.15 dBi gain. The velocity factor makes the antenna slightly shorter than a half wavelength in vacuum. Enter the frequency and the velocity factor.
Fade Margin
Calculate the fade margin, M = P_rx − S, subtracting the receiver sensitivity S (dBm) from the received power P_rx (dBm). The result, in dB, is the slack between the arriving signal and the minimum the receiver can demodulate — the reserve available to absorb temporary fades caused by rain, multipath, vegetation and atmospheric variations. Reliable links typically require margins of 10 to 30 dB, depending on the desired availability and environment. It is the final check of a radio link budget. Enter the received power and the receiver sensitivity.
Antenna Beamwidth
Estimate the half-power (−3 dB) beamwidth of a parabolic antenna, θ = 70·λ ÷ D, from the wavelength λ (from λ = 0.3/f, with f in GHz) and the reflector diameter D (m). The result, in degrees, is the angle within which the antenna concentrates most of its energy: larger dishes and higher frequencies produce narrower beams and thus more directive, higher-gain antennas, but with more critical pointing. The ~70 factor applies to typical parabolic reflectors. Enter the reflector diameter and the frequency.
Specific Fire Load
Calculate the specific fire load of a space, q = (mass × LHV) ÷ area, dividing the total energy of the combustible materials (mass × lower heating value) by the floor area. The result, in MJ/m², is the heat that would be released per unit area if all the material burned — the parameter that classifies a building's fire risk and sets protection requirements (fire resistance, exits, sprinklers) in fire codes. The higher the fire load, the more severe the potential fire. Enter the fuel mass, the heating value and the area.
Sprinkler Flow (K-Factor)
Calculate the flow of an automatic sprinkler, Q = K × √P, from the head's K-factor and the pressure at the sprinkler P. The result, in L/min, is the water discharged by the sprinkler at a given pressure — the basis of the hydraulic design of sprinkler systems, which must ensure enough flow and application density over the most unfavourable operating area. The K-factor characterizes the orifice (the larger it is, the more flow at the same pressure). Mind the units of K and P, which must be consistent. Enter the K-factor and the pressure.
Fire Water Reserve (RTI)
Calculate the fire water reserve volume, V = flow × time ÷ 1000, multiplying the system's required flow (L/min) by the required autonomy time (min) and converting to cubic metres. The result, in m³, is the water volume the tank must keep reserved exclusively for firefighting — sized to feed hydrants and/or sprinklers for the minimum time set by codes (typically 30 to 60 min, depending on risk). It is a central calculation in building firefighting installation design. Enter the flow and the autonomy time.
Heat Release Rate (HRR)
Calculate the heat release rate of a fire (HRR), Q̇ = ṁ × ΔH_c, multiplying the fuel burning rate (kg/s) by the effective heat of combustion (MJ/kg). The result, in MW, is the fire's power — the single most important quantity in fire science, governing gas temperatures, flame height, smoke production and spread rate. It is the fundamental input to fire safety engineering models and to the design of smoke control and detection systems. Enter the burning rate and the heat of combustion.
Evacuation Time
Estimate the evacuation time of a space, t = N ÷ (F × width), dividing the number of occupants N by the product of the specific people flow F (people per minute per metre) and the total exit width (m). The result, in minutes, is the movement time for everyone to pass through the exits — part of the total egress time used in escape route design and fire safety verification. Adequate exit widths and flows ensure evacuation occurs before conditions become untenable. Enter the number of occupants, the specific flow and the exit width.
Emergency Exit Width
Calculate the required width of an emergency exit, W = (population ÷ unit capacity) × 0.55, dividing the population to be discharged by the capacity of people per exit unit and multiplying by one unit's width (0.55 m). The result, in metres, sizes doors, corridors, stairs and ramps of escape routes by the exit-unit criterion of fire safety codes. The capacity per unit varies with the type of exit (door, stair, ramp) and the occupancy. Enter the population and the capacity per exit unit.
Required Fire Flow
Calculate the water flow required for a firefighting system, Q = area × application rate, multiplying the operating area (m²) by the required application density (L/min per m²). The result, in L/min, is the minimum flow the sprinkler or spray system must deliver over the most unfavourable area to control the fire. The application rate depends on the occupancy's hazard class — the higher the fire load and combustibility, the higher the density required by codes (NBR/NFPA). It is the basis of hydraulic design and water reserve. Enter the area and the application rate.
Flame Height (Heskestad)
Estimate the mean height of a diffusion flame by the Heskestad correlation, L = 0.235·Q̇^(2/5) − 1.02·D, from the heat release rate Q̇ (kW) and the fire base diameter D (m). The result, in metres, is the visible flame height above the base — essential to assess the risk of fire spread by radiation, the thermal reach over structures and the activation of detectors and sprinklers. Height grows with the fire power to the 2/5 power and decreases with the base diameter. It is one of the classic fire dynamics correlations. Enter the heat release rate and the base diameter.
Number of Sprinklers
Calculate the number of automatic sprinklers needed, N = area ÷ coverage area per head, dividing the total area to protect (m²) by the maximum coverage area of each sprinkler (m²). The result is the minimum number of heads to cover the space, spaced within code limits (coverage per head depends on hazard class and sprinkler type). In practice, always round up and adjust to the piping and beam layout. It is an initial quantity calculation in sprinkler system design. Enter the area to protect and the coverage area per head.
Smoke Plume Mass Flow
Calculate the mass flow of a fire's smoke plume by the Heskestad correlation, ṁ = 0.071·Q̇_c^(1/3)·z^(5/3), from the convective part of the heat release rate Q̇_c (kW) and the height above the fire base z (m). The result, in kg/s, is the amount of hot gases and smoke rising and accumulating, governing the design of smoke control and exhaust systems (mechanical or natural) that keep a smoke-free layer for safe evacuation. The flow grows strongly with height. Enter the convective heat fraction and the height.
Noise Dose
Calculate the occupational noise dose, D = (C ÷ T) × 100%, dividing the effective exposure time C by the maximum allowed time T for the measured noise level and multiplying by 100. The result, in %, shows how much of the maximum daily exposure the worker accumulated: 100% is the tolerance limit (85 dB(A) for 8 hours, with a 5 dB exchange rate in Brazil). Doses above 100% require controls and indicate risk of noise-induced hearing loss. For several levels, the C/T terms are summed. Enter the exposure time and the maximum allowed time.
Normalized Exposure Level (NEN)
Calculate the 8-hour normalized exposure level (NEN), NEN = NE + 10·log₁₀(t ÷ 480), from the measured exposure level NE (dB(A)) and the actual exposure time t (minutes). The result, in dB(A), converts an exposure of any duration into the equivalent level that would produce the same dose over a standard 8-hour (480 min) shift, allowing direct comparison with the tolerance limit and action level. It is the quantity used by occupational hygiene standards to assess continuous or intermittent noise. Enter the measured level and the exposure time.
WBGT (Occupational Heat Index)
Calculate the WBGT (wet bulb globe temperature) for indoor environments without solar load, WBGT = 0.7·t_nw + 0.3·t_g, from the natural wet-bulb temperature t_nw and the globe temperature t_g (°C). The result, in °C, is the heat stress index used to assess heat exposure: compared with tolerance limits according to the activity's metabolic rate, it sets the allowed work-rest regime. For environments with solar load, the dry-bulb temperature is also included. Enter the natural wet-bulb and globe temperatures.
Hearing Protector Attenuation
Calculate the effective noise level at the ear with a hearing protector by the NIOSH method, L_eff = SPL − (NRR − 7) ÷ 2, from the ambient sound pressure level SPL (dB(A)) and the protector's NRR (Noise Reduction Rating). The result, in dB(A), estimates real protection by applying the 7 dB derating (dBC→dBA correction) and a 50% safety factor on the nominal attenuation, which is usually far lower in real use than in the lab. It lets you check whether the chosen protector brings exposure below the tolerance limit. Enter the ambient noise level and the protector's NRR.
Dilution Ventilation Flow
Calculate the airflow needed to dilute a contaminant, Q = (G × K) ÷ C, from the contaminant generation rate G, a safety/mixing factor K and the allowable limit concentration C. The result, in the consistent flow unit, is the volume of clean air that must be supplied/exhausted to keep the contaminant concentration below the tolerance limit in the breathing zone. General dilution ventilation suits low-toxicity, diffusely generated contaminants; the K factor corrects for imperfect air mixing. Enter the generation rate, the safety factor and the limit concentration.
Maximum Noise Exposure Time
Calculate the maximum daily allowed noise exposure time, T = 8 ÷ 2^((SPL − 85) ÷ 5), from the sound pressure level SPL (dB(A)). The result, in hours, is the maximum exposure duration before reaching a 100% dose under the Brazilian NR-15 (85 dB(A) limit for 8 h, with a 5 dB dose-doubling rate). Every 5 dB above 85 halves the allowed time: 90 dB(A) allows 4 h, 95 dB(A) only 2 h. It is the basis for dose calculation and the planning of rotation and breaks. Enter the sound pressure level.
Mixture Exposure Index
Calculate the combined exposure index to a mixture of chemical agents by the additivity rule, I = (C₁ ÷ TLV₁) + (C₂ ÷ TLV₂), summing the ratio of measured concentration to tolerance limit (TLV) for each substance. The dimensionless result assesses the joint effect of contaminants acting on the same target organ: if the sum exceeds 1, the combined exposure surpasses the limit, even if no single substance is above its own. It is the ACGIH and NR-15 criterion for mixtures with additive effects. Enter the concentrations and tolerance limits of two substances.
Hand-Arm Vibration A(8)
Calculate the normalized hand-arm vibration exposure A(8), A(8) = a_w·√(t ÷ 8), from the resultant acceleration a_w (m/s²) and the exposure time t (hours). The result, in m/s², normalizes the exposure to an 8-hour shift, allowing comparison with the action and tolerance levels. Prolonged exposure to tool vibration (grinders, breakers, chainsaws) causes hand-arm vibration syndrome, with vascular and neurological damage. Enter the resultant acceleration and the exposure time.
Vibration Dose Value (VDV)
Calculate the vibration dose value (VDV) for whole-body vibration exposure, VDV = a_w·t^(1/4), from the acceleration a_w and the exposure time t. The result, in m/s^1.75, is a cumulative metric that, by using the fourth power, is more sensitive to peaks and shocks than the RMS average (important in jolting vehicles and machines). It is used by ISO 2631 to assess the spinal risk of forklift, tractor and bus operators. The higher the VDV, the greater the injury risk. Enter the acceleration and the exposure time.
Capture Flow (Local Exhaust)
Calculate the capture flow of an unflanged local exhaust hood, Q = V·(10·X² + A), from the capture velocity V (m/s), the source-to-hood distance X (m) and the hood face area A (m²). The result, in m³/s, is the flow needed for contaminated air to be drawn into the hood with enough velocity to overcome air currents and the contaminant's inertia. The Della Valle/ACGIH equation shows the flow grows with the square of distance — hoods should be as close to the source as possible. It is the basis of local exhaust ventilation design. Enter the capture velocity, the distance and the hood area.
Sommerfeld Number
Calculate the Sommerfeld number of a journal bearing, S = (r ÷ c)²·(μ·N ÷ P), from the radius-to-clearance ratio (r/c), the lubricant dynamic viscosity μ, the rotational speed N (rev/s) and the specific pressure P (load over projected area). The dimensionless result is the characteristic parameter defining a hydrodynamic bearing's behaviour: it sets the minimum oil film thickness, shaft position, friction and lubricant flow. Low values mean a heavily loaded bearing (contact risk); high values, excessive clearance. It is the basis of bearing design via Raimondi-Boyd charts. Enter the r/c ratio, the viscosity, the speed and the pressure.
Archard Wear
Calculate the volume of material removed by wear using Archard's law, V = k·F·s ÷ H, from the dimensionless wear coefficient k, the normal force F, the sliding distance s and the hardness of the softer material H. The result is the worn volume, proportional to load and distance and inversely proportional to hardness. It is the fundamental model of adhesive and abrasive wear, used to predict the life of sliding-contact surfaces — gears, guides, bushings, tools. Harder materials and lower loads reduce wear. Enter the wear coefficient, the force, the distance and the hardness.
Hersey Number
Calculate the Hersey number of a bearing, H = μ·N ÷ P, from the dynamic viscosity μ, the rotational speed N and the specific pressure P. The dimensionless result is the horizontal-axis variable of the Stribeck curve, which maps the lubrication regimes: very low values indicate boundary lubrication (metal-to-metal contact, high friction and wear); intermediate values, mixed lubrication; and high values, full hydrodynamic lubrication (complete film, minimum friction). Tracking the Hersey number helps keep the bearing in the hydrodynamic regime, away from contact. Enter the viscosity, the speed and the pressure.
Viscosity Index (VI)
Calculate the viscosity index (VI) of a lubricating oil, VI = (L − U) ÷ (L − H) × 100, from the reference kinematic viscosities L and H (of VI-0 and VI-100 standard oils with the same viscosity at 100 °C) and the oil's viscosity U at 40 °C. The dimensionless result measures how much the oil's viscosity changes with temperature: a high VI means little change (good lubrication both cold and hot), desirable in multigrade automotive and hydraulic oils. A low VI means an oil that thins greatly when heated. Enter the viscosities L, U and H.
Film Thickness Ratio (λ)
Calculate the specific film thickness ratio (lambda), λ = h_min ÷ √(Ra₁² + Ra₂²), from the minimum lubricant film thickness h_min and the surface roughnesses Ra of the two contacting surfaces. The dimensionless result indicates the elastohydrodynamic lubrication regime: λ < 1 means direct asperity contact (boundary lubrication, high wear); 1 < λ < 3, mixed lubrication; and λ > 3, full separation of the surfaces by the oil film (full regime, long life). It is a key criterion in gear and rolling-bearing design. Enter the minimum film thickness and the surface roughnesses.
Bearing Radial Clearance
Calculate the radial clearance of a journal bearing, c = (D_bore − D_shaft) ÷ 2, subtracting the shaft diameter from the bearing bore diameter and dividing by two. The result is the radial space between shaft and bearing, where the lubricant oil film forms. Clearance is a critical design parameter: too small hampers film formation and heat dissipation (seizure risk); too large reduces load capacity and increases vibration and noise. A rule of thumb uses a radial clearance of about one thousandth of the diameter. Enter the bore and shaft diameters.
Eccentricity Ratio
Calculate the eccentricity ratio of a hydrodynamic bearing, ε = e ÷ c, dividing the eccentricity e (shaft centre offset from bearing centre) by the radial clearance c. The result (between 0 and 1) describes the shaft position within the bearing under load: ε = 0 means a centred shaft (no load); ε near 1 means the shaft nearly touches the bearing (heavily loaded, minimum film at the limit). Eccentricity grows with load and decreases with viscosity and speed. The minimum film thickness is h_min = c·(1 − ε). Enter the eccentricity and the radial clearance.
Friction Torque
Calculate the friction torque in a shaft or bearing, T = μ·F·r, multiplying the friction coefficient μ by the normal force (load) F and the radius r where friction acts. The result, in N·m, is the moment friction opposes to rotation — the torque the motor must overcome just to turn the assembly, without doing useful work. Reducing friction torque (with lubrication, rolling bearings and good finishes) saves energy and lowers heating. Multiplied by the angular velocity, it gives the power dissipated by friction. Enter the friction coefficient, the force and the radius.
Bearing PV Factor
Calculate the PV factor of a bearing or self-lubricating bushing, PV = P × V, multiplying the specific pressure P (load over projected area) by the sliding velocity V at the surface. The result, in MPa·m/s, is the limiting criterion for selecting materials for non-force-lubricated bearings (sintered bronze bushings, polymers like PTFE and nylon): each material has a maximum allowable PV value, above which the friction heat cannot be dissipated and the bearing fails by melting or accelerated wear. PV is kept below the material limit with a safety margin. Enter the specific pressure and the velocity.
Bearing Power Loss
Calculate the power dissipated by friction in a bearing, P = T × ω, multiplying the friction torque T by the angular velocity ω (rad/s). The result, in watts, is the mechanical energy converted to heat per unit time by friction — a loss that reduces efficiency and heats the lubricant and components. This heat must be dissipated (by convection or oil circulation) to keep a safe operating temperature, since overheating degrades the lubricant and can cause seizure. Estimating the dissipated power is essential to size the cooling and the oil flow. Enter the friction torque and the angular velocity.
Peak Flow Rate (PHF)
Calculate the peak flow rate of a roadway, q = V ÷ PHF, dividing the hourly volume V (vehicles/h) by the peak hour factor PHF (between 0 and 1, the ratio of the hour's volume to four times the busiest 15-minute volume). The result, in vehicles/h, is the equivalent flow rate of the busiest 15-minute period — always greater than or equal to the hourly volume, since traffic does not arrive uniformly. It is the design flow used in capacity and level-of-service analysis by the HCM, since sizing by the hourly average would underestimate the peaks. Enter the hourly volume and the peak hour factor.
Average Headway
Calculate the average headway (time interval between successive vehicles), h = 3600 ÷ q, dividing 3600 seconds by the flow rate q (vehicles/h). The result, in seconds, is the average time between two consecutive vehicles passing a point. Headway is the inverse of flow: the higher the traffic volume, the shorter the intervals. It is a central concept of traffic flow theory, used in signal design, capacity analysis and car-following models. The smallest safe headway defines the maximum capacity of a lane. Enter the flow rate.
Average Vehicle Spacing
Calculate the average vehicle spacing, s = 1000 ÷ k, dividing 1000 metres by the traffic density k (vehicles/km). The result, in metres, is the average distance between the fronts of two consecutive vehicles in a traffic stream. Spacing is the inverse of density: congested roads have high density and small spacing; free-flowing roads have low density and large spacing. It is the spatial analogue of headway (which is temporal) and relates to speed by s = v·h. The smallest spacing, at jam density, equals the vehicle length plus the minimum gap. Enter the traffic density.
Space Mean Speed
Calculate the space mean speed of two vehicles by the harmonic mean, v_s = 2 ÷ (1/v₁ + 1/v₂), from the individual speeds v₁ and v₂. The result, in the same unit as the speeds, is the harmonic mean — not the arithmetic — which is the correct way to compute the mean speed of a traffic stream when observing a road section (average over space). Space mean speed is always less than or equal to the time mean speed (the arithmetic mean observed at a point), because it gives more weight to slow vehicles, which spend more time in the section. It is the speed used in the fundamental equation q = k·v. Enter the two speeds.
Greenshields Speed
Calculate the speed of a traffic stream by the linear Greenshields model, v = v_f·(1 − k ÷ k_j), from the free-flow speed v_f, the current density k and the jam density k_j (vehicles/km). The result, in the unit of v_f, shows speed falls linearly with density: on an empty road (k = 0), vehicles travel at free-flow speed; as density rises, speed decreases, reaching zero at total jam (k = k_j). It is the most classic macroscopic traffic flow model, the basis of the parabolic flow-density relationship. Enter the free-flow speed, the current density and the jam density.
Signal Cycle Time (Webster)
Calculate the optimum signal cycle time by Webster's formula, C = (1.5·L + 5) ÷ (1 − Y), from the total lost time per cycle L (seconds) and the sum of critical flow ratios Y (flow/saturation flow of each phase). The result, in seconds, is the cycle that minimizes total vehicle delay at the intersection. Lost time includes the intergreen intervals and start-up; Y must be less than 1 (otherwise the intersection is saturated and the cycle tends to infinity). It is the fundamental formula for designing isolated signals. Enter the total lost time and the sum of flow ratios.
Saturation Flow
Calculate the saturation flow of a signalized approach, S = S₀ × N, multiplying the base saturation flow per lane S₀ (vehicles/h per lane, typically ~1800–1900) by the number of lanes N. The result, in vehicles/h, is the maximum rate of vehicles that can cross the stop line if the signal stayed green continuously and a queue existed — the queue discharge rate during green. It is a central parameter in signal design and intersection capacity, adjusted by lane width, grade, turning and parking factors. Enter the base saturation flow per lane and the number of lanes.
Volume/Capacity Ratio (V/C)
Calculate the volume/capacity ratio (degree of saturation), X = V ÷ C, dividing the traffic volume V by the capacity C of the road or intersection. The dimensionless result measures the road's utilization: X near 0 indicates a free road; X = 1 means the road operating exactly at capacity; X > 1 indicates demand above capacity, with growing queues and congestion. The V/C ratio is the main indicator to classify the level of service (LOS A to F) and identify bottlenecks. Values above 0.85–0.90 already indicate near-saturation operation. Enter the volume and the capacity.
Number of Lanes Required
Calculate the number of lanes required on a road, N = V ÷ C_lane, dividing the design traffic volume V by the capacity of one lane C_lane (vehicles/h per lane). The result is the minimum number of lanes to serve the demand within capacity; in practice, always round up to the next integer. It is a basic sizing calculation in the geometric design of highways and urban roads, defining the cross-section from the predicted volume and the per-lane capacity (which depends on speed, road type and traffic conditions). Enter the traffic volume and the per-lane capacity.
Equivalent Flow (PCE)
Calculate the equivalent flow in passenger car equivalents (PCE), q = Q_cars + Q_heavy × E, adding the car flow to the heavy-vehicle flow multiplied by the equivalence factor E (how many passenger cars each truck or bus equals in road occupancy — typically 1.5 to 3.0). The result, in PCE/h, converts a mixed traffic stream into an equivalent homogeneous one, allowing volumes to be compared and the capacity of roads with different traffic compositions to be computed. Heavy vehicles occupy more space and accelerate more slowly, especially on grades. Enter the car flow, the heavy-vehicle flow and the equivalence factor.
Damped Natural Frequency
Calculate the damped natural frequency of a vibrating system, ω_d = ω_n·√(1 − ζ²), from the undamped natural frequency ω_n and the damping ratio ζ. The result, in the unit of ω_n (rad/s or Hz), is the actual frequency at which an underdamped system oscillates freely after a disturbance — always lower than the undamped natural frequency, since damping slows the oscillation. For small ζ (lightly damped systems), ω_d ≈ ω_n; as ζ → 1 (critical damping), ω_d → 0 and the system stops oscillating. Enter the natural frequency and the damping ratio.
Amplification Factor (Q)
Calculate the resonance amplification factor (quality factor Q), Q = 1 ÷ (2·ζ), from the damping ratio ζ. The dimensionless result shows how many times the vibration amplitude at resonance exceeds the equivalent static deflection: lightly damped systems (small ζ) have high Q and sharp, dangerous resonance peaks; well-damped systems have low Q and smooth response. It is central to designing structures, machines and instruments to avoid destructive amplification and to characterizing the selectivity of filters and resonators. Enter the damping ratio.
Equivalent Stiffness (Springs in Series)
Calculate the equivalent stiffness of two springs in series, 1 ÷ k_eq = 1/k₁ + 1/k₂, from the individual stiffnesses k₁ and k₂. The result, in the same unit (N/m), is always smaller than the smallest stiffness — springs in series are more flexible, since each deforms under the same force and the displacements add. It is the fundamental calculation to reduce suspension systems, isolators and structures with elastic elements in sequence to a single-degree-of-freedom model, the basis for finding the natural frequency. Enter the two stiffnesses.
Equivalent Stiffness (Springs in Parallel)
Calculate the equivalent stiffness of two springs in parallel, k_eq = k₁ + k₂, by adding the individual stiffnesses. The result, in the same unit (N/m), is always larger than the largest stiffness — springs in parallel are stiffer, since they share the load under the same displacement and the forces add. This is the case of mounts, isolators and supports placed side by side carrying the same component. Reducing spring assemblies to an equivalent stiffness is the first step to compute a vibrating system's natural frequency. Enter the two stiffnesses.
Vibration Transmissibility
Calculate the transmissibility of an undamped vibration isolator, TR = 1 ÷ |r² − 1|, from the frequency ratio r = f ÷ f_n (excitation frequency over natural frequency). The dimensionless result is the fraction of force (or motion) transmitted through the isolator: TR < 1 means isolation (the transmitted vibration is less than the applied one), which only occurs for r > √2. Near r = 1 (resonance), TR spikes; the higher r, the lower the transmissibility and the better the isolation. It is the key criterion in designing antivibration mounts. Enter the frequency ratio.
Vibration Isolation Efficiency
Calculate the vibration isolation efficiency, I = (1 − TR) × 100%, from the transmissibility TR. The result, in %, shows how much of the source vibration is blocked by the isolator before reaching the supporting structure (or vice versa): TR = 0.1 corresponds to 90% isolation. High efficiencies require soft isolators (low natural frequency), so that the frequency ratio r is well above √2. It is the practical indicator to specify mounts and antivibration bases for machines, engines and sensitive equipment. Enter the transmissibility.
Unbalance Force
Calculate the centrifugal force generated by an unbalanced rotor, F = m·e·ω², from the unbalanced mass m, the eccentricity e (distance from the centre of mass to the rotation axis) and the angular velocity ω (rad/s). The result, in newtons, is the rotating force that excites vibration in the bearings and structure — proportional to the square of speed, which is why unbalance becomes critical at high speeds. Quantifying it guides the balancing of rotors, fans, turbines and wheels, reducing vibration, noise and fatigue. Enter the unbalanced mass, the eccentricity and the angular velocity.
Natural Frequency from Static Deflection
Calculate a system's natural frequency from its static deflection, f_n = (1 ÷ 2π)·√(g ÷ δ), where δ is the static deflection caused by self-weight and g the gravitational acceleration (9.81 m/s²). The result, in Hz, is a practical and elegant way to estimate the natural frequency without separately knowing mass and stiffness — you just measure how much the system sags under its own weight. Larger deflections (more flexible systems) give lower natural frequencies, desirable in vibration isolators. It is widely used in spring and mount design. Enter the static deflection (in metres).
Shaft Critical Speed
Calculate the critical speed of a rotating shaft, ω_c = √(k ÷ m), from the shaft stiffness k and the rotor mass m. The result, in rad/s, is the rotational speed that coincides with the shaft's bending natural frequency — at it, any small unbalance causes large-amplitude resonant vibration that can damage the equipment. Shafts should run with a safe margin below the first critical speed (rigid rotors) or pass through it quickly to a range above (flexible rotors). It is an essential calculation in designing high-speed turbines, pumps and motors. Enter the stiffness and the mass.
Energy Dissipated per Cycle
Calculate the energy dissipated per cycle in a viscous damper, ΔE = π·c·ω·X², from the viscous damping coefficient c, the excitation frequency ω (rad/s) and the vibration amplitude X. The result, in joules, is the mechanical energy converted to heat each oscillation cycle by the damper — proportional to frequency and to the square of amplitude. Quantifying it is essential to size dampers and dissipators (in suspensions, buildings under earthquakes, isolators) and to estimate the heat generated by vibration. The greater the dissipation, the faster free vibration decays. Enter the damping coefficient, the frequency and the amplitude.
Crystallinity Degree (Enthalpy)
Calculate a polymer's crystallinity degree by the melting enthalpy method, X_c = (ΔH_m ÷ ΔH_m°) × 100%, dividing the melting enthalpy measured by DSC (ΔH_m) by the enthalpy of the 100% crystalline polymer (ΔH_m°, a tabulated reference). The result, in %, is the fraction of polymer mass organized in crystalline regions, as opposed to amorphous ones. Crystallinity governs key properties: higher crystallinity raises stiffness, strength, density, opacity and chemical resistance, but lowers transparency and impact resistance. Enter the measured melting enthalpy and that of the 100% crystalline material.
Polydispersity Index (PDI)
Calculate a polymer's polydispersity index (PDI), PDI = M_w ÷ M_n, dividing the weight-average molar mass (M_w) by the number-average molar mass (M_n). The dimensionless result (always ≥ 1) measures the breadth of the molar mass distribution: PDI = 1 means a monodisperse polymer (all chains the same size, rare, typical of living polymers); larger values mean a wide range of sizes. Commercial polymers have PDI of 2 to 20, depending on the polymerization process. PDI affects processability, strength and flow properties. Enter M_w and M_n.
Degree of Polymerization
Calculate a polymer chain's degree of polymerization, DP = M_n ÷ M₀, dividing the number-average molar mass of the chain (M_n) by the molar mass of the monomer or repeat unit (M₀). The dimensionless result is the average number of monomer units in each chain. The higher the degree of polymerization, the longer the chains and the more pronounced the polymer properties: increased mechanical strength, melt viscosity, transition temperature and toughness. Below a critical value, the material lacks typical polymer properties. Enter the chain molar mass and the monomer molar mass.
Glass Transition Temperature (Fox)
Calculate the glass transition temperature (Tg) of a blend or copolymer by the Fox equation, 1 ÷ Tg = w₁/Tg₁ + w₂/Tg₂, from the mass fraction w₁ of component 1 (with w₂ = 1 − w₁) and the Tg of each pure component (in kelvin). The result, in K, is the temperature at which the mixture goes from the glassy (rigid) to the rubbery (flexible) state. The Fox equation predicts the Tg of miscible blends, random copolymers and plasticized systems, the basis for tuning a polymer's flexibility by adding plasticizers or comonomers. Enter the mass fraction of component 1 and the two Tg values.
Melt Flow Index (MFI)
Calculate the melt flow index (MFI), MFI = (mass × 600) ÷ time, from the mass of polymer extruded (g) and the extrusion time (s), normalizing to the mass that flows in 10 minutes. The result, in g/10min, measures how easily the molten polymer flows under standardized load and temperature (plastometer test). High MFI indicates a low-viscosity, low-molar-mass polymer, easy to inject; low MFI indicates high viscosity, high molar mass, better for extrusion and blow molding. It is the most used quality control parameter in the plastics industry. Enter the extruded mass and the time.
Intrinsic Viscosity (Mark-Houwink)
Calculate a polymer's intrinsic viscosity by the Mark-Houwink-Sakurada equation, [η] = K·Mᵃ, from the constants K and a (specific to the polymer-solvent-temperature system) and the viscosity-average molar mass M. The result, in dL/g, relates the viscosity of a dilute polymer solution to its molar mass — the basis of molar mass determination by viscometry, a simple and cheap technique. The exponent a (between 0.5 and 0.8) reflects the chain conformation in the solvent: 0.5 for a theta solvent (coiled chain) and up to 1.0 for an extended chain in good solvent. Enter the constants K, a and the molar mass.
Crystallinity by Density
Calculate a polymer's crystallinity degree by the density method, X_c = [ρ_c·(ρ − ρ_a)] ÷ [ρ·(ρ_c − ρ_a)] × 100%, from the sample's measured density (ρ) and the densities of the 100% amorphous (ρ_a) and 100% crystalline (ρ_c) phases. The result, in %, relies on crystalline regions being more compact and dense than amorphous ones — the higher the sample density, the higher its crystallinity. It is an alternative to DSC (enthalpy), simple and accurate, using a density gradient column or pycnometry. Enter the sample, amorphous and crystalline densities.
Fiber Volume Fraction
Calculate the fiber volume fraction of a composite, V_f = (W_f/ρ_f) ÷ [(W_f/ρ_f) + (W_m/ρ_m)] × 100%, from the masses (or mass fractions) and densities of the fiber (W_f, ρ_f) and matrix (W_m, ρ_m). The result, in %, converts the mass composition (easily measured) into the volume composition, which determines the composite's mechanical properties by the rule of mixtures. Fiber volume fraction is a laminate's most important parameter: the higher it is (up to the packing limit, ~60-70%), the greater the stiffness and strength in the fiber direction. Enter the fiber and matrix masses and densities.
Composite Modulus (Rule of Mixtures)
Calculate the longitudinal elastic modulus of a composite by the rule of mixtures, E_c = E_f·V_f + E_m·(1 − V_f), from the fiber modulus (E_f), the fiber volume fraction (V_f) and the matrix modulus (E_m). The result, in the modulus unit (GPa), is the modulus in the fiber direction (Voigt upper bound), assuming equal strain in fiber and matrix. It shows the composite stiffness is a volume-weighted average — stiff fibers (carbon, glass) at high fraction greatly raise the modulus. In the transverse direction, the inverse rule of mixtures (Reuss bound) applies, much lower. Enter the fiber modulus, the fiber fraction and the matrix modulus.
Cooling Time (Injection Molding)
Estimate the cooling time of a flat part in injection molding, t = h² ÷ (π²·α), from the wall thickness h and the polymer's thermal diffusivity α. The result, in seconds, is the dominant time of the injection cycle — the part can only be ejected after cooling enough to be rigid. The most critical factor is thickness squared: doubling the thickness quadruples the cooling time (and the cost per part). That is why thin, uniform walls are a golden rule in injection part design. Plastics' low thermal diffusivity makes cooling the productivity bottleneck. Enter the wall thickness and the thermal diffusivity.
PID Tuning Ziegler-Nichols (Kp)
Calculate the proportional gain of a PID controller by the Ziegler-Nichols closed-loop method, K_p = 0.6·K_u, from the ultimate gain K_u (the proportional gain at which the system enters sustained oscillation). The result is the recommended proportional gain for a PID controller; the other parameters derive from the ultimate period T_u (T_i = 0.5·T_u and T_d = 0.125·T_u). It is the classic experimental controller-tuning method, giving a quick starting point for the response of industrial processes, later adjusted to the desired performance. Enter the ultimate gain.
Servo Torque for Arm
Calculate the static torque a servomotor needs to hold a horizontal arm, T = m·g·L, from the tip mass m, gravity g (9.81 m/s²) and the arm length L. The result, in N·m, is the minimum torque the servo must provide to keep the arm horizontal against the load weight — the most unfavorable position. It is essential in designing robotic arms, grippers and servo-driven mechanisms, sizing the motor with a safety margin over this value. For arms with their own mass, the center of mass is used. Enter the mass and the arm length.
PWM Resolution (Levels)
Calculate the number of levels of a PWM signal, levels = 2^bits, from the bit resolution of the PWM generator (timer). The result is the number of discrete duty-cycle steps available: an 8-bit PWM offers 256 levels (0 to 255), allowing power adjustment in 256 steps; a 10-bit one, 1024 levels, finer control. Higher resolution gives smoother control of motor speed and LED brightness, but reduces the maximum possible PWM frequency for a given timer clock. It is a central parameter in microcontroller configuration. Enter the resolution in bits.
Robot Arm Reach
Calculate the maximum reach of a planar two-link robotic arm, R = L₁ + L₂, by adding the lengths of the two links (arm and forearm). The result, in the length unit, is the radius of the work envelope — the farthest distance the tip (end-effector) can reach when the arm is fully extended. It defines the robot's workspace and is the first sizing parameter of manipulators. The minimum reach (dead zone at the center) is |L₁ − L₂|, and the useful area is the annulus between the two radii. Enter the two link lengths.
Stepper Motor Speed
Calculate the rotation speed of a stepper motor, RPM = (pps × 60 × step angle) ÷ 360, from the pulse frequency pps (steps per second) and the motor's step angle (degrees per step). The result, in revolutions per minute, relates the command frequency sent to the driver with the actual shaft speed. Stepper motors lose torque at high speeds, so there is a practical maximum rotation. It is essential for programming axis speeds in 3D printers, CNC and automation. Enter the pulse frequency and the step angle.
Torque for Angular Acceleration
Calculate the torque needed to angularly accelerate a rotating body, T = I·α, from the moment of inertia I and the desired angular acceleration α (rad/s²). The result, in N·m, is the rotational version of Newton's second law (F = m·a): the greater the assembly's inertia or the faster the intended acceleration, the more torque the motor must provide. It is fundamental in sizing drives that must accelerate and decelerate loads quickly — robots, positioners, spindles — where the acceleration torque adds to the friction and load torque. Enter the moment of inertia and the angular acceleration.
Motor Torque from Current
Calculate the torque produced by a DC motor, T = K_t·I, from the torque constant K_t (N·m/A) and the armature current I. The result, in N·m, shows a DC motor's torque is directly proportional to current — which is why measuring current is the simplest way to estimate (and limit) torque and detect overloads. The torque constant K_t is a motor characteristic (numerically equal to the back-EMF constant K_e in SI units). It is the basis of torque control in servomotors and robotics. Enter the torque constant and the current.
PWM Output Voltage
Calculate the average output voltage of a PWM signal, V_out = (duty ÷ 100) × V_sup, from the duty cycle (in %) and the supply voltage V_sup. The result, in volts, is the effective average voltage delivered to a load (motor, LED, heater) by rapidly switching the supply on and off. Varying the duty cycle from 0 to 100% varies the average voltage from 0 to V_sup, allowing power control without dissipating energy in resistors — the basis of motor speed and LED brightness control in microcontrollers. Enter the duty cycle and the supply voltage.
DC Motor No-Load Speed
Calculate the no-load speed of a DC motor, ω = V ÷ K_e, from the applied voltage V and the back-EMF constant K_e (V·s/rad). The result, in rad/s, is the speed the motor reaches with no load, when the generated back-EMF nearly equals the applied voltage and the current drops to a minimum. It is the upper speed limit of the motor for a given voltage, the basis of the torque-speed curve (running from stall torque at zero speed to no-load speed at zero torque). It lets you estimate the operating range of servos and DC motors. Enter the voltage and the constant K_e.
DC Motor Stall Current
Calculate the stall current of a DC motor, I = V ÷ R, from the applied voltage V and the armature resistance R. The result, in amperes, is the maximum current the motor draws when the shaft is locked (zero speed, no back-EMF) — far higher than normal operating current. It is the most dangerous current: it can burn the motor and driver if sustained, so systems include stall protection. It also corresponds to the maximum (stall) torque point on the torque-speed curve. It is essential for sizing fuses, drivers and power supplies. Enter the voltage and the armature resistance.
Effective Field Capacity
Calculate the effective field capacity of a mechanized farming operation, FC = (v × L × Ef) ÷ 10, from the working speed v (km/h), the effective working width L (m) and the field efficiency Ef (decimal). The result, in hectares per hour, is the area the machine actually works per hour, already discounting time losses with turns, refills and overlaps (efficiency). The factor 10 adjusts the units. It is central to mechanization planning: it sets how many machines and hours are needed to complete an operation (planting, spraying, harvesting) in the available window. Enter the speed, the width and the field efficiency.
Tractor Wheel Slip
Calculate the wheel slip of a tractor, slip = (1 − D_loaded ÷ D_unloaded) × 100%, comparing the distance traveled in a number of wheel revolutions under load (D_loaded) and unloaded (D_unloaded). The result, in %, measures how much the wheels spin without advancing, by slipping on the soil. Excessive slip wastes power and fuel and compacts the soil; zero slip indicates lack of traction. The ideal range for farm tractors is typically 8 to 15% on firm soil, adjusted with ballast and tire pressure. It is a key traction efficiency indicator. Enter the loaded and unloaded distances.
Drawbar Pull
Calculate the available drawbar pull of a tractor, F = W × μ, multiplying the weight on the driving wheels W (kN) by the traction coefficient μ of the tire-soil pair. The result, in kN, is the pulling effort the tractor can exert on implements (plow, harrow, planter) — limited by soil grip, not engine power. The traction coefficient depends on soil and tire type (0.5 to 0.7 on firm soil; much less on loose or wet soil). Increasing the adhesive weight (ballast) raises the available force. Enter the adhesive weight and the traction coefficient.
Fuel Consumption per Hectare
Calculate the fuel consumption per hectare of a mechanized operation, consumption = hourly consumption ÷ field capacity, dividing the tractor's hourly consumption (L/h) by the effective field capacity (ha/h). The result, in liters per hectare, is the practical indicator to budget the fuel cost of a farming operation and compare the energy efficiency of machines and settings. Heavy operations (subsoiling) consume far more L/ha than light ones (spraying). Combined with the diesel price and the total area, it gives the season's fuel cost. Enter the hourly consumption and the field capacity.
Spray Volume
Calculate the spray volume applied per hectare, volume = (q × 600) ÷ (L × v), from the total nozzle flow q (L/min), the boom width L (m) and the travel speed v (km/h). The result, in liters per hectare, is the application rate — a critical spraying parameter that must match the pesticide recommendation and the target. The factor 600 converts units. Increasing speed or width lowers the applied volume; increasing nozzle flow raises it. Calibrating correctly ensures the right agrochemical dose, avoiding underdosing (ineffectiveness) or overdosing (waste and phytotoxicity). Enter the nozzle flow, the boom width and the speed.
Gross Irrigation Depth
Calculate the gross irrigation depth, D_gross = D_net ÷ Ef, dividing the required net depth (the water that must reach the roots, in mm) by the irrigation system's application efficiency (decimal). The result, in mm, is the depth the system must actually apply so that, after losses (evaporation, drift, percolation, runoff), the net depth remains in the soil. More efficient systems (drip, ~90%) require less gross depth than less efficient ones (conventional sprinkler, ~75%; surface, ~50-60%). It is the basis of irrigation design and management. Enter the net depth and the application efficiency.
Irrigation Time
Calculate the required irrigation time, t = depth ÷ application intensity, dividing the depth to apply (mm) by the system's application intensity (mm/h). The result, in hours, is how long the system (sprinkler, pivot, drip) must run to apply the desired depth. The application intensity must not exceed the soil's infiltration rate, or it causes runoff and erosion. Multiplied by the flow, it gives the water volume; combined with the number of sectors, it sets the total irrigation time of the area. It is a routine calculation in daily irrigation management. Enter the depth and the application intensity.
Worked Area per Machine
Calculate the area worked by a farm machine, A = field capacity × time, multiplying the effective field capacity (ha/h) by the available operating time (h). The result, in hectares, is how much the machine can cover in a shift — direct input for operational planning: how many hours (or days) are needed to complete the planting, spraying or harvesting of an area, and whether the machine fleet meets the agronomic window (the period in which the operation must occur). Undersizing the fleet delays critical operations and reduces yield. Enter the field capacity and the operating time.
Sprayer Nozzle Count
Calculate the number of nozzles on a spray boom, N = boom width ÷ nozzle spacing, dividing the total boom width (m) by the desired spacing between nozzles (m). The result is how many spray tips the boom must have to cover the swath uniformly. The standard spacing is typically 0.5 m, with nozzles whose spray angle and height ensure correct fan overlap for homogeneous spray distribution. Wrong spacing and nozzle count cause gaps or excess application along the swath. It is a sprayer design and calibration calculation. Enter the boom width and the nozzle spacing.
Field Efficiency
Calculate the field efficiency of a mechanized operation, Ef = (effective capacity ÷ theoretical capacity) × 100%, dividing the effective field capacity (area actually worked per hour) by the theoretical capacity (the one obtained with no time losses). The result, in %, measures how much of the time the machine actually works, as opposed to headland turns, refills, adjustments, travel and overlaps. Simple operations in large fields have high efficiency (80-90%); complex operations in small, irregular fields, low (60-70%). Improving field efficiency (larger fields, fewer stops) reduces costs. Enter the effective and theoretical capacities.
Buck Converter (Step-Down)
Calculate the output voltage of a buck (step-down) DC-DC converter in continuous conduction, V_out = D × V_in, from the duty cycle D (0 to 1) and the input voltage V_in. The result, in volts, is always less than or equal to the input — the buck converter lowers voltage efficiently (without dissipating the excess, unlike a linear regulator), by switching rapidly and filtering with an inductor and capacitor. Varying the duty cycle adjusts the output from 0 to V_in. It is the most common topology in switching power supplies and point-of-load regulators. Enter the duty cycle and the input voltage.
Boost Converter (Step-Up)
Calculate the output voltage of a boost (step-up) DC-DC converter in continuous conduction, V_out = V_in ÷ (1 − D), from the input voltage V_in and the duty cycle D (0 to 1). The result, in volts, is always greater than the input — the boost converter raises voltage by storing energy in an inductor and releasing it in series with the source. As D approaches 1, the output tends to infinity (limited by real losses). It is used in supplies that must step up voltage (LEDs, batteries, power factor correction) and in photovoltaic systems. Enter the input voltage and the duty cycle.
Buck-Boost Converter
Calculate the output voltage of a buck-boost DC-DC converter in continuous conduction, V_out = V_in × D ÷ (1 − D), from the input voltage V_in and the duty cycle D (0 to 1). The result, in volts, can be lower (D < 0.5) or higher (D > 0.5) than the input — the buck-boost converter steps voltage down or up depending on the duty cycle, with inverted output polarity in the classic topology. It is used when the input voltage can vary above and below the desired output (discharging batteries, universal supplies). Enter the input voltage and the duty cycle.
Output Voltage Ripple
Calculate the output voltage ripple of a switching converter, ΔV = I ÷ (f × C), from the output current I, the switching frequency f and the output capacitance C. The result, in volts, is the residual oscillation superimposed on the DC output voltage, caused by the filter capacitor charging and discharging each switching cycle. Higher frequency and capacitance reduce the ripple. Keeping the ripple within limits (typically <1% of the output) is essential to supply sensitive circuits. Enter the current, the switching frequency and the capacitance.
Inductor Current Ripple
Calculate the inductor current ripple of a buck converter, ΔI_L = (V_in × D) ÷ (L × f), from the input voltage V_in, the duty cycle D, the inductance L and the switching frequency f. The result, in amperes, is the peak-to-peak variation of the inductor current each cycle. It is a central design parameter: a typical ripple of 20-40% of the average current is a good compromise. Higher inductance and frequency reduce the ripple (larger inductor, more costly; higher frequency, more switching losses). It also sets the boundary between continuous and discontinuous conduction. Enter the voltage, duty cycle, inductance and frequency.
Rectifier Average Voltage
Calculate the average (DC) voltage of a full-wave rectifier, V_dc = 2 × V_p ÷ π, from the peak voltage V_p of the sinusoidal input. The result, in volts, is the mean value of the pulsating voltage at the rectifier output before filtering — about 63.7% of the peak. A full-wave rectifier (bridge or center-tap) flips the negative half-cycles, doubling the ripple frequency and raising the average voltage compared with a half-wave rectifier (V_p/π). It is the basis of designing DC power supplies from the AC mains. Capacitor filtering then raises the voltage further (close to the peak). Enter the peak voltage.
Square-Wave RMS Current
Calculate the RMS value of a pulsing square-wave current, I_rms = I_p × √D, from the peak current I_p and the duty cycle D (fraction of the period the current flows). The result, in amperes, is the RMS current that determines the actual heating (I²R losses) of a component that conducts in pulses — such as a transistor or winding in a switching converter. Unlike the average value, the RMS is what matters for sizing conductors, resistances and dissipation. The smaller the duty cycle, the lower the RMS for the same peak current. Enter the peak current and the duty cycle.
MOSFET Conduction Loss
Calculate the conduction loss in a MOSFET, P = I² × R_ds(on), from the current through it I and the on-state channel resistance R_ds(on). The result, in watts, is the power dissipated as heat while the transistor is on, due to the channel resistance. It is one of the two main losses in power switches (the other being switching loss). MOSFETs with lower R_ds(on) reduce these losses, important at high currents and low frequencies. The conduction losses, plus the switching losses, set the heating and the heatsink requirement. Enter the current and the on-state resistance.
Switching Loss
Calculate the switching (commutation) loss in a power transistor, P_sw = 0.5 × V × I × (t_on + t_off) × f, from the voltage V, the current I, the total commutation time (rise + fall) and the switching frequency f. The result, in watts, is the energy lost during the on-off transitions, when voltage and current coexist in the transistor. Unlike conduction losses, switching losses grow with frequency — which is why there is a practical limit to raising the frequency (which would shrink inductors and capacitors). Fast transistors (short times) and proper drivers minimize these losses. Enter the voltage, current, commutation time and frequency.
Junction Temperature
Calculate the junction temperature of a power semiconductor, T_j = T_a + P × R_th, from the ambient temperature T_a, the dissipated power P and the total junction-to-ambient thermal resistance R_th (°C/W). The result, in °C, is the device's internal temperature (silicon junction), which must not exceed the manufacturer's limit (typically 150 °C) on pain of failure. The thermal resistance adds the junction-to-case, case-to-heatsink and heatsink-to-ambient stages. Lowering R_th (larger heatsink, ventilation, thermal paste) lowers the junction temperature. It is the central calculation of power electronics thermal design. Enter the ambient temperature, the dissipated power and the thermal resistance.
Ocean Wavelength
Calculate the wavelength of an ocean wave in deep water, L = g·T² ÷ (2π), from the wave period T (s) and gravity g (9.81 m/s²). The result, in meters, is the distance between two successive crests — in deep water, it depends only on the period. Long-period waves (swell from distant storms) have much larger wavelengths than local wind waves. The wavelength sets the depth at which the wave 'feels' the bottom (about L/2), starts to refract and shoal until it breaks. It is a fundamental parameter of linear wave theory and coastal engineering. Enter the wave period.
Deep Water Wave Celerity
Calculate the celerity (phase velocity) of an ocean wave in deep water, c = g·T ÷ (2π), from the period T (s) and gravity g. The result, in m/s, is the speed at which the wave crest propagates. In deep water, longer-period waves travel faster — a phenomenon called dispersion, which makes long-period swell reach the coast before the short waves generated by the same storm. The celerity is half the group velocity (at which energy travels) in deep water. It is a base concept of wave hydrodynamics. Enter the wave period.
Shallow Water Wave Celerity
Calculate the celerity of a wave in shallow water, c = √(g·h), from the water depth h (m) and gravity g. The result, in m/s, is the propagation speed when the depth is much smaller than the wavelength — a situation in which the wave 'feels' the bottom and its speed depends only on depth, no longer on the period. This is why waves refract as they approach the coast (the deeper part travels faster) and why tsunamis travel at hundreds of km/h in the deep ocean and slow down (piling up energy) as they reach the coast. Enter the water depth.
Wave Energy
Calculate the energy density of an ocean wave, E = (1 ÷ 8)·ρ·g·H², from the water density ρ (kg/m³, ~1025 for seawater), gravity g and the wave height H (m). The result, in J/m² (energy per surface area), is the sum of the wave's kinetic and potential energy — proportional to the square of the height, so large waves carry far more energy. It is the basis for calculating wave energy generation potential and the impact on coastal structures and beach erosion. Enter the water density and the wave height.
Wave Power
Estimate the power flux of an ocean wave per meter of wave front, P ≈ 0.5 × H² × T, from the wave height H (m) and the period T (s), in deep water (seawater). The result, in kW/m, is the power available per meter of wave front width — a key indicator of wave energy potential for converters (WECs). Coasts exposed to ocean swells (European Atlantic, Pacific) reach 30-70 kW/m, a significant renewable resource. The power grows with the square of the height and linearly with the period. Enter the wave height and period.
Tidal Range
Calculate the tidal range, range = high tide height − low tide height, subtracting the lowest from the highest level observed in a tidal cycle. The result, in meters, is the vertical difference between high and low tide — a fundamental parameter for navigation (available draft), port and coastal structure design, tidal energy and intertidal ecology. Spring tides (new/full moon) have maximum range; neap tides (quarter moon), minimum. Some regions have ranges of a few centimeters; others (Bay of Fundy), over 15 meters. Enter the high and low tide heights.
Wave Steepness
Calculate the steepness of a wave, s = H ÷ L, dividing the wave height H by the wavelength L. The dimensionless result is the relative steepness of the wave — the taller it is for its length, the steeper. Steepness has a physical limit: deep-water waves break when s exceeds about 1/7 (0.143), as the crest becomes unstable (120° angle). Young storm waves are steep; swell that travels long distances is gentle (low steepness). Steepness governs wave stability, breaking and vessel comfort. Enter the wave height and wavelength.
Iribarren Number
Calculate the Iribarren number (surf similarity parameter), ξ = tan(β) ÷ √(H ÷ L), from the beach slope tan(β), the wave height H and the wavelength L. The dimensionless result classifies the wave breaking type and runup: ξ < 0.5 indicates spilling breakers (flat beaches); 0.5 < ξ < 3.3, plunging (the wave 'barrels'); ξ > 3.3, surging/collapsing (steep beaches). It is widely used in coastal engineering to predict runup, structure overtopping and riprap stability. Enter the beach slope, wave height and wavelength.
Wave Group Velocity
Calculate the group velocity of an ocean wave in deep water, c_g = g·T ÷ (4π), from the period T (s). The result, in m/s, is the speed at which the wave energy (and the 'envelope' of a wave group) propagates — exactly half the celerity (phase velocity) in deep water. This difference explains a curious phenomenon: within a wave group, individual crests appear at the rear, advance through the group (faster than it) and disappear at the front. The group velocity is what matters for energy transport and predicting swell arrival at the coast. Enter the wave period.
Wave Period
Calculate the period of a wave, T = 1 ÷ f, from the frequency f (Hz). The result, in seconds, is the time between two successive crests passing a fixed point — one of the most important properties of an ocean wave. The period determines the wavelength and celerity (in deep water), the depth at which the wave interacts with the bottom, and classifies the sea state: local wind waves have short periods (3-8 s), while swell from distant storms has long periods (10-20 s), travels faster and penetrates deeper. The period is measured by buoys and used in wave forecasting. Enter the wave frequency.
Solidification Time (Chvorinov)
Calculate the solidification time of a casting by Chvorinov's rule, t = B × (V ÷ A)², from the mold constant B (min/cm², depending on the mold material and metal) and the ratio of the part's volume V to its surface area A. The result, in minutes, is the time for the metal to fully solidify. The rule shows that parts with a higher volume/area ratio (more 'massive') solidify more slowly — a fundamental casting design principle: risers (metal reservoirs) must have a larger modulus than the part to solidify last and feed the shrinkage. Enter the mold constant, the volume and the part area.
Casting Cooling Modulus
Calculate the cooling modulus (or geometric modulus) of a casting, M = V ÷ A, dividing the volume V by the surface area A in contact with the mold. The result, in cm (length unit), is the parameter governing solidification speed: the larger the modulus, the slower the solidification (Chvorinov's rule says the time is proportional to the modulus squared). It is the basis of riser sizing in foundry — the modulus rule requires the riser modulus to be about 1.2 times that of the part, so it solidifies later and feeds the shrinkage, avoiding shrinkage cavities. Enter the part volume and area.
Casting Metal Yield
Calculate the metal yield of a casting process, η = (part mass ÷ total poured mass) × 100%, dividing the finished part mass by the total poured metal (part + risers + runners + spills). The result, in %, measures the metal utilization efficiency: the rest (runners, risers, flash) is remelted, but consumes energy and adds cost. Typical yields range from 50 to 80%, depending on the part and gating complexity. Maximizing yield (well-sized risers, optimized gating) cuts energy and remelting costs. Enter the part mass and the total poured mass.
Shrinkage Allowance
Calculate the pattern (mold) dimension accounting for solidification shrinkage, dimension = part dimension × (1 + shrinkage ÷ 100), from the desired final part dimension and the metal's linear shrinkage coefficient (%). The result is the larger dimension the pattern must have so that, upon solidifying and cooling, the part shrinks to the correct size. Each metal has its linear solidification shrinkage: steel ~2%, gray cast iron ~1%, aluminum ~1.3%, bronze ~1.5%. Patternmakers use shrink rules ('contraction rules') already scaled up. Ignoring shrinkage results in undersized parts. Enter the part dimension and the shrinkage coefficient.
Metallostatic Pressure
Calculate the metallostatic pressure exerted by molten metal at the bottom of a mold, P = ρ × g × h, from the molten metal density ρ (kg/m³), gravity g and the metal column height h (m). The result, in pascals, is the pressure the molten metal exerts on the mold walls and bottom due to its own weight — analogous to hydrostatic pressure, but with the high density of metals. It is essential to size the mold strength (which can 'burst' or deform under pressure), predict core flotation and metal penetration into gaps. Dense metals (iron, ~7000 kg/m³) generate high pressures. Enter the metal density and the column height.
Mold Fill Time
Calculate the fill time of a casting mold, t = V ÷ Q, dividing the cavity volume V by the metal flow rate Q of the gating system. The result, in seconds, is the time to completely fill the mold with molten metal. It is a critical parameter: filling too slowly lets the metal cool and solidify before filling everything (cold shut, misrun defects), while too fast causes turbulence, gas entrapment, mold erosion and inclusions. The optimal time depends on the part's weight and thickness and the metal. Sizing the gating system for the right time is central to casting design. Enter the cavity volume and the flow rate.
Pouring Velocity
Calculate the molten metal velocity at the base of the sprue by Torricelli's equation, v = √(2·g·h), from the metal column height h (m) and gravity g. The result, in m/s, is the velocity at which the metal enters the gating system by gravity, starting from the pouring basin height. It is the basis of gating system design: the velocity sets the flow rate (with the section area) and the flow regime. Velocities too high cause turbulence (air aspiration, oxidation, erosion); hence gating systems are designed to control and slow the flow. Enter the metal column height.
Riser Modulus
Calculate the minimum modulus of a riser (feeder) by the modulus rule, M_riser = 1.2 × M_part, from the part's cooling modulus. The result, in cm, is the modulus the riser must have to solidify after the part (about 20% slower) and feed it with molten metal during solidification shrinkage, avoiding shrinkage cavities. The riser is a metal reservoir placed over the thickest region of the part; if it solidifies first, it fails its purpose. From the modulus, the riser geometry is sized. It is a fundamental rule of casting design. Enter the part's cooling modulus.
Solidification Volumetric Shrinkage
Calculate the volumetric shrinkage on solidification of a metal, ΔV = (ρ_solid − ρ_liquid) ÷ ρ_liquid × 100%, from the metal densities in the solid and liquid states. The result, in %, is the volume reduction that occurs when the metal goes from liquid to solid — because the solid is denser (more compact) than the liquid. This shrinkage is the main cause of shrinkage cavities (internal voids) and is exactly what risers must feed with extra molten metal. Each metal has its solidification shrinkage: steel ~3%, aluminum ~6.6%, copper ~5%. Gray cast iron is an exception (graphite expands, reducing the liquid shrinkage). Enter the solid and liquid metal densities.
Gate Area
Calculate the gating channel section area, A = Q ÷ v, dividing the desired metal flow rate Q by the metal velocity v. The result, in the consistent area unit (cm²), is the cross-section the sprue (or gate) must have to deliver the needed flow at the calculated velocity. It is the application of the continuity equation to the casting gating system. Correctly sizing the areas of the system's elements (basin, sprue, runner, gates) controls the flow rate, velocity and flow regime of the metal, avoiding turbulence and ensuring proper filling. The ratios between the areas define the system type (pressurized or unpressurized). Enter the flow rate and the velocity.
Stoichiometric Air-Fuel Ratio
Calculate the stoichiometric air-fuel ratio (AFR) by mass of a hydrocarbon C_xH_y, AFR = (x + y/4) × 137.93 ÷ M, from the number of carbon atoms x, hydrogen atoms y and the fuel molar mass M (g/mol). The result (kg air per kg fuel) is the exact amount of air needed for complete combustion, with no leftover air or fuel. Methane (CH₄) has AFR ≈ 17.2; gasoline ≈ 14.7. The 137.93 constant comes from the air mass per mole of O₂ (32 ÷ 0.232). It is the base parameter of combustion control and mixture in engines and burners. Enter x, y and the fuel molar mass.
Excess Air (from Flue Gas)
Calculate the excess air of a combustion from the oxygen in dry flue gas, EA = O₂ ÷ (20.9 − O₂) × 100%, from the measured O₂ percentage in the stack. The result, in %, shows how much air was supplied beyond stoichiometric — measured by the leftover oxygen in the exhaust gases. Some excess air (10-30%) is needed to ensure complete combustion (avoid CO and soot), but too much wastes energy heating useless air that leaves hot through the stack. Gas analyzers measure O₂ and compute the excess air to optimize combustion efficiency. Enter the O₂ percentage in the gases.
Equivalence Ratio (φ)
Calculate the combustion equivalence ratio, φ = AFR_stoichiometric ÷ AFR_actual, dividing the stoichiometric air-fuel ratio by the actual one. The dimensionless result classifies the mixture: φ = 1 is stoichiometric (exact air); φ < 1 is lean (excess air, typical of industrial burners and diesel engines); φ > 1 is rich (lack of air, produces CO and soot, but more power in gasoline engines). The equivalence ratio is the preferred dimensionless parameter in combustion science, linked to excess air (φ = 1/(1+EA)). Enter the stoichiometric and actual air-fuel ratios.
Adiabatic Flame Temperature
Estimate the adiabatic flame temperature, T_ad = T_initial + LHV ÷ (m × cp), from the lower heating value LHV (kJ/kg fuel), the mass of combustion products per kg fuel m, the average specific heat of the gases cp (kJ/kg·K) and the initial temperature. The result, in °C, is the maximum theoretical temperature the gases would reach if all the combustion energy heated the products, with no heat loss. It is an upper bound: real flames are cooler (radiation losses, dissociation, excess air). It sets the thermal severity on materials and NOx formation. Enter the LHV, the gas mass, the cp and the initial temperature.
Stack Heat Loss (Siegert)
Calculate the heat loss through the exhaust gases by the Siegert formula, loss = K × (T_gas − T_air) ÷ CO₂, from the fuel factor K (~0.5 for natural gas, ~0.6 for oil), the gas and combustion air temperatures (°C) and the CO₂ percentage in the gases. The result, in %, is the largest energy loss of a boiler or furnace — the heat escaping hot through the stack. Lowering the gas temperature (with economizers and preheaters) and adjusting the excess air (which dilutes CO₂) minimizes this loss. The combustion efficiency is approximately 100% minus this loss. Enter the K factor, the temperatures and the CO₂.
Theoretical Maximum CO₂
Calculate the theoretical maximum CO₂ percentage in dry flue gas from complete combustion of a hydrocarbon C_xH_y, CO₂max = x ÷ (x + (x + y/4) × 3.762) × 100%, from the carbon x and hydrogen y atoms. The result, in %, is the CO₂ obtained with perfect stoichiometric combustion (no excess air) — the reference value of gas analyzers. Methane has CO₂max ≈ 11.7%; coal, ~18-20%. Comparing the measured CO₂ with the theoretical maximum indicates the excess air: the lower the measured CO₂ relative to the maximum, the more excess air diluting the gases. Enter x and y.
Theoretical Combustion Air Volume
Calculate the theoretical air volume needed for complete combustion of a hydrocarbon C_xH_y, V_air = (x + y/4) × 22.4 ÷ (0.21 × M), from the carbon x, hydrogen y atoms and the molar mass M. The result, in Nm³ of air per kg of fuel (at normal conditions), is the stoichiometric air — the basis for sizing fans, burners and combustion air systems. The factor 22.4 is the ideal gas molar volume (L/mol at STP) and 0.21 the volume fraction of O₂ in air. Methane needs ~13.3 Nm³/kg. Multiplied by the excess air, it gives the actual air supplied. Enter x, y and the molar mass.
Natural Chimney Draft
Calculate the natural draft (depression) of a chimney, ΔP = 353 × h × (1/T_air − 1/T_gas), from the chimney height h (m) and the absolute temperatures of the outside air and the hot gases (K). The result, in pascals, is the pressure difference that 'pulls' the gases up and the combustion air into the burner, generated by the density difference between the hot (light) gases and the cold (dense) air — the chimney effect. Taller chimneys and hotter gases generate more draft. It is the basis of natural-draft furnace and boiler chimney design; insufficient draft requires fans (forced draft). Enter the height and the air and gas temperatures.
Actual Air-Fuel Ratio
Calculate the actual air-fuel ratio, AFR_actual = AFR_stoichiometric × (1 + excess air ÷ 100), from the stoichiometric air-fuel ratio and the excess air (%). The result (kg air per kg fuel) is the amount of air actually supplied in practice, always greater than stoichiometric, because real combustion needs excess air to ensure complete burning (the mixture is never perfect). This value sizes the air supply (fans), the exhaust gas flow and influences the flame temperature and efficiency. Enter the stoichiometric air-fuel ratio and the excess air.
CO₂ Volume Produced
Calculate the CO₂ volume produced in complete combustion of a hydrocarbon C_xH_y, V_CO₂ = x × 22.4 ÷ M, from the number of carbon atoms x and the fuel molar mass M (g/mol). The result, in Nm³ of CO₂ per kg of fuel, is the carbon dioxide generated by complete burning — information for emission inventories, exhaust system sizing and gas analysis. Each carbon atom in the fuel becomes one CO₂ molecule. Methane produces ~1.4 Nm³/kg. Fuels with more carbon per unit mass (coal, heavy oils) produce more CO₂. Enter x and the fuel molar mass.
Grinding Energy (Bond Work Index)
Calculate the specific comminution (grinding/crushing) energy by Bond's law, W = 10 × Wi × (1/√P₈₀ − 1/√F₈₀), from the ore's Bond work index Wi (kWh/t), and the particle sizes passing 80% of the product (P₈₀) and feed (F₈₀), in micrometers. The result, in kWh per tonne, is the energy needed to reduce the ore from feed to product size. Comminution is mining's largest energy consumer (up to 50% of the plant). The Wi index characterizes the ore's resistance to fragmentation. It is the basis for sizing mills and energy consumption. Enter the Wi, P₈₀ and F₈₀.
Crushing Reduction Ratio
Calculate the reduction ratio of a crusher or mill, RR = F ÷ P, dividing the feed size F by the product size P (usually F₈₀/P₈₀ or crusher openings). The dimensionless result shows how many times the material was reduced in size in one stage. Each equipment type has a typical reduction ratio range: jaw crushers 4-7, cone crushers 5-8, ball mills up to 100 or more. Since each stage has a limited ratio, reducing large blocks to fine powder requires several stages in series, whose product of ratios gives the total reduction. Enter the feed and product sizes.
Linear Explosive Charge
Calculate the linear loading density of a blast hole, q = (π/4) × d² × ρ, from the hole diameter d (mm) and the explosive density ρ (g/cm³). The result, in kg of explosive per meter of hole, is how much explosive fits in each meter of charged column — a central parameter of rock blast design. Multiplied by the hole charge height, it gives the charge per hole; combined with the blasted rock volume, it gives the powder factor. Larger diameters and denser explosives raise the linear charge. Enter the hole diameter and the explosive density.
Blast Burden
Calculate the burden of a blast pattern, B = k × d, multiplying a factor k (typically 25 to 40, depending on rock and explosive) by the hole diameter d. The result, in the unit of d, is the distance from the row of holes to the free rock face — one of the most critical geometric parameters of blasting. Too large a burden leaves the rock poorly fragmented (boulders) and creates toes; too small wastes explosive and causes flyrock and overpressure. Together with the hole spacing, the burden defines the drilling pattern and the resulting fragmentation. Enter the factor k and the hole diameter.
Belt Conveyor Capacity
Calculate the mass flow capacity of a belt conveyor, Q = A × v × ρ × 3600, from the cross-section area of the load on the belt A (m²), the belt speed v (m/s) and the material's bulk density ρ (t/m³). The result, in tonnes per hour, is the conveyor's transport capacity — essential equipment in handling ore, gravel, grain and coal. The load area depends on the belt width, the material's surcharge angle and the idler configuration. Wider, faster belts and denser materials raise the capacity. It is the basis of conveying system design. Enter the load area, the speed and the density.
Blast Hole Count
Calculate the number of holes of a blast pattern, N = area ÷ (burden × spacing), dividing the bench area to blast by the pattern area of each hole (burden B × spacing S). The result is the number of holes needed to cover the area with the specified drilling pattern. In practice, round up. It is an essential quantity calculation in blast planning: it sets the drilling time, the amount of explosive and accessories, and the operation cost. Wider patterns (larger B and S) reduce the number of holes but may worsen fragmentation. Enter the area, the burden and the spacing.
Total Reduction Ratio
Calculate the total reduction ratio of a three-stage comminution circuit, RR_total = RR₁ × RR₂ × RR₃, multiplying the reduction ratios of each crusher/mill in series. The dimensionless result is the circuit's overall size reduction — from bench rock blocks (hundreds of mm) to fine particles (mm or µm). Since each stage has a limited reduction ratio (4 to 10 for crushers), large total reductions (100, 1000 or more) require several stages in series: primary, secondary, tertiary crushing and milling. Enter the reduction ratios of the three stages.
Blast Subdrilling
Calculate the subdrilling of a blast hole, S_p = 0.3 × B, multiplying the burden B by a typical factor of 0.3. The result, in the unit of B, is the length the hole must drill below the desired bench floor level. This extra depth ensures the blast fragments the rock down to the floor level, avoiding toes (ledges of unfragmented rock at the bench foot) that hinder equipment operation. Insufficient subdrilling leaves toes; excessive wastes drilling and explosive and damages the rock below the floor. Enter the burden.
Mass Recovery
Calculate the mass recovery (mass yield) of a mineral processing operation, R = (concentrate mass ÷ feed mass) × 100%, dividing the concentrate mass produced by the ore feed mass. The result, in %, is the fraction of mass reporting to the concentrate — different from metallurgical recovery (which measures the fraction of metal recovered). Low mass recovery is typical of lean ores (little concentrate from much feed); high indicates rich ore or poorly selective concentration. Combined with the grades, it closes the plant's mass balance. Enter the concentrate and feed masses.
Detonation Velocity (VOD)
Calculate the velocity of detonation (VOD) of an explosive, VOD = L ÷ t, dividing the distance traveled by the detonation wave L (m) by the time t (s) measured between two sensors. The result, in m/s, is the speed at which the detonation reaction propagates through the explosive column — one of the most important properties of an explosive, linked to its energy and fragmentation power. High-VOD explosives (4000-7000 m/s, like emulsions and dynamites) generate high detonation pressure and are effective in hard rock; low VOD (ANFO, ~3000-4500 m/s) suits softer rock. Enter the measured distance and time.
Elevator Motor Power
Calculate the motor power of an elevator, P = m·g·v ÷ η, from the payload m (kg), gravity g (9.81 m/s²), nominal speed v (m/s) and the system efficiency η (motor, gearbox, sheaves). The result, in watts, is the mechanical power needed to hoist the load at nominal speed. In practice, the counterweight (balancing the car plus ~45% of the load) reduces the effective power, and regenerative braking on descent can return some to the system. It is the base calculation for sizing the traction machine. Enter the load, the speed and the efficiency.
Hoist Rope Tension
Calculate the resultant force in an elevator's hoist rope, F = (Q + M_car − M_counterweight)·g, from the payload Q, the car mass and the counterweight mass (kg). The result, in newtons, is the unbalanced effort the steel ropes must transmit, already net of the counterweight's balancing effect. It is the basis for sizing the ropes (number, diameter and safety factor, typically ≥ 12 in elevator codes) and the traction sheave. When the load is such that car + load ≈ counterweight, the force tends to zero (balanced system). Enter the load, the car mass and the counterweight mass.
Counterweight Mass
Calculate an elevator's counterweight mass, M_cw = M_car + factor × Q_max, from the car mass, the balancing factor (typically 0.40 to 0.50) and the maximum load Q_max (kg). The result, in kg, is the mass that balances the car plus a fraction of the payload, so the motor works with the smallest average imbalance. A factor of 0.45 (45%) is common: it fully balances the car and 45% of the rated load, minimizing motor work both with a full and an empty car. Enter the car mass, the balancing factor and the maximum load.
Round Trip Time (RTT)
Estimate an elevator's round trip time (RTT), RTT = 2·(H ÷ v) + stops × t_stop, from the travel height H (m), the speed v (m/s), the number of probable stops and the average time per stop (s, including deceleration, door opening/closing and boarding). The result, in seconds, is the time of a complete up-and-down cycle with stops — a central parameter of vertical traffic analysis. The higher the RTT, the lower the handling capacity and the longer the interval between cars. Enter the height, the speed, the number of stops and the time per stop.
Handling Capacity (5 min)
Calculate an elevator's handling capacity over 5 minutes, HC = (300 × Q) ÷ RTT, from the car capacity Q (people) and the round trip time RTT (s). The result, in people carried per 5 minutes, is the standard vertical-traffic performance metric (building peak demand is usually measured over 5 min). The factor 300 is the seconds in 5 minutes. Multiplied by the number of elevators and compared with the building population, it tells whether the system meets demand (typically 12-15% of the population in 5 min in offices). Enter the car capacity and the RTT.
Elevator Traffic Interval
Calculate the traffic interval (average waiting time) of an elevator group, INT = RTT ÷ N, dividing the round trip time RTT (s) by the number of elevators N in the group. The result, in seconds, is the average time between elevator arrivals at the main floor — the main service-quality indicator perceived by users (waiting time). Intervals up to 30 s are excellent; above 50-60 s, poor. More elevators in the group reduce the interval. It is the key criterion in sizing the number of elevators. Enter the RTT and the number of elevators.
Probable Stops
Calculate the probable number of stops of an elevator, S = N × (1 − (1 − 1/N)^P), from the number of served floors N and the number of passengers P in the car. The result is how many floors, on average, the elevator actually stops at during a trip (probabilistically, two passengers may go to the same floor). It is an essential parameter of the round trip time calculation: more stops raise the RTT. The formula assumes passengers choose destination floors randomly and uniformly. With a full car, S approaches N (stops at almost all). Enter the number of floors and passengers.
Building Population
Estimate a building's population, Pop = (area per floor × number of floors) ÷ density, from the usable area per floor (m²), the number of floors and the occupancy density (m² per person). The result, in people, is the total population to be served by the vertical transport — the starting point of elevator traffic analysis. Occupancy density varies with use: ~10 m²/person in dense offices, ~15-20 m²/person in standard offices, with specific values for hotels and residences. Compared with the elevators' handling capacity, it tells whether the system is adequate. Enter the area per floor, the number of floors and the density.
Number of Elevators Required
Calculate the number of elevators required, N = peak demand ÷ capacity per elevator, dividing the peak transport demand (people in 5 min) by the handling capacity of a single elevator (people in 5 min). The result is the minimum number of elevators in the group to meet peak demand. In practice, round up and also check the resulting traffic interval (waiting quality). Peak demand comes from the building population times the peak percentage (12-15% in offices). Undersizing causes queues and long waits. Enter the peak demand and the capacity per elevator.
Tunnel Convergence
Calculate a tunnel's convergence — the relative radial deformation of the excavation, ε = (u ÷ r)·100 — from the radial displacement u (the inward movement of the walls toward the center, measured by extensometers or total station) and the excavation radius r, in the same unit. Convergence is the primary monitoring indicator in NATM (New Austrian Tunnelling Method): it measures how much the rock mass deforms after excavation, reflecting stress mobilization and support effectiveness. Low, stabilized convergence indicates a stable mass; high, growing or accelerating convergence signals squeezing, instability or insufficient support, requiring immediate reinforcement. Enter the radial displacement and the tunnel radius.
Terzaghi Rock Load Height
Estimate the rock load height over a tunnel crown by Terzaghi's classic method, Hp = Cf·(B + Ht), from the rock load factor Cf (depending on mass quality — ~0 for intact rock to >2 for heavily fractured or swelling rock), the width B and the height Ht of the excavation. Hp represents the loosened rock zone above the tunnel that effectively loads the support — Terzaghi proposed that, due to arching in the mass, only a fraction of the total overburden acts on the lining. This loosening-load model is the historic basis for rock tunnel support design. Multiplying Hp by the unit weight gives the support pressure. Enter the load factor, width and height.
Tunnel Support Pressure
Calculate the support pressure a tunnel lining must resist, pv = γ·Hp, from the rock mass unit weight γ (kN/m³) and the rock load height Hp (m) — typically from Terzaghi's method or geomechanical classifications (RMR, Q-system). Support pressure is the vertical stress the loosened rock zone exerts on the support (shotcrete, steel sets, final lining), and it drives the structural design of the lining. In shallow tunnels the load may be the full overburden; in deep tunnels, arching reduces it to a fraction. Estimating it correctly is decisive: underestimating leads to collapse, overestimating raises cost. Enter the unit weight and the rock load height.
Peck Settlement Trough Width
Calculate the trough-width parameter of the surface settlement induced by tunnelling, i = K·z₀, by Peck's method, from the trough-width parameter K (~0.5 for clays, ~0.25-0.35 for sands) and the tunnel axis depth z₀. The surface settlement from ground loss follows a Gaussian (inverted bell) curve, and i is its standard deviation — the horizontal distance from the tunnel axis to the inflection point, defining the trough width. Larger i means a wider, gentler trough (clays); smaller means narrower and deeper (sands). This parameter is essential to predict damage to nearby buildings in urban tunnels. Enter the K parameter and the tunnel depth.
Maximum Surface Settlement (Tunnel)
Calculate the maximum surface settlement, over the tunnel axis, S_max = Vs ÷ (i·√(2π)), from the settlement trough volume per metre of tunnel Vs (m³/m, the lost soil volume surfacing) and the trough-width parameter i (m, Peck's method). Since the trough is Gaussian, integrating the curve gives Vs = √(2π)·i·S_max, isolating the maximum settlement, which occurs right over the axis. This is the critical value for damage assessment: compared to allowable limits (typically 10-25 mm for sensitive structures), it decides whether the excavation is safe or needs mitigation. Enter the trough volume and the width parameter.
Tunnel Volume Loss
Calculate the volume loss of a tunnel excavation, VL = Vs ÷ (π·D²/4)·100, the percentage ratio between the settlement trough volume per metre Vs (m³/m) and the excavated cross-section area (from diameter D). Volume loss quantifies how much soil 'disappeared' relative to the theoretical tunnel volume — caused by face relaxation, overexcavation, tail-gap closure behind the TBM shield and consolidation. It is the key control parameter for urban excavation: well-run EPB/slurry TBMs achieve 0.5-1.5% in soils; values above 2-3% indicate problems and excessive settlement. Enter the trough volume and the tunnel diameter.
Tunnel Face Pressure (EPB/Slurry)
Estimate the face support pressure needed to stabilize the excavation front of a mechanized tunnel, p = K·γ·H, from the earth pressure coefficient K (at rest K₀ ≈ 1−sinφ, or active), the soil unit weight γ (kN/m³) and the axis depth H (m). In closed-face TBMs (EPB or slurry), the pressurized chamber must balance the earth and water pressure at the front, avoiding both collapse (insufficient pressure) and blow-out (excessive pressure). Face pressure is the most critical operational parameter of a TBM, adjusted in real time per cover, water table and soil type. This gives the earth component; total pressure adds hydrostatic water pressure and a safety margin. Enter the earth pressure coefficient, unit weight and depth.
Advance per Blast (Pull)
Calculate the effective advance per blast (pull) in drill-and-blast tunnelling, advance = L·η, from the drilled hole length L (m) and the blast efficiency η (0-1). Not all drilled depth converts to advance: part is lost because the hole bottoms do not always break fully, leaving a 'socket'. Typical efficiency is 85-95% — depending on the blast pattern, rock type and execution. Advance per blast, times the cycles per day, sets the rock face productivity. Maximizing it reduces cycles and schedule, but very long holes lose drilling accuracy and efficiency. Enter the drilled length and the blast efficiency.
TBM Advance Rate
Calculate a tunnel boring machine's daily advance, advance = PR·U·h, from the instantaneous penetration rate PR (m/h, advance while actively boring), utilization U (0-1, the fraction of time actually boring) and operating hours per day h. The distinction between penetration and utilization is central: penetration depends on geology and cutterhead thrust/torque, but utilization — typically only 30-50% — is limited by ring building, cutter changes, maintenance, muck removal and downtime. Real advance is far below nominal penetration, and improving utilization often pays more than increasing penetration. Enter the penetration rate, utilization and hours per day.
Spillway Discharge (Creager/Ogee)
Calculate the discharge over a Creager/ogee dam spillway, Q = C·L·H^1.5, from the discharge coefficient C (typically 2.0-2.2 in SI for well-designed ogee profiles), the crest length L (m) and the head over the crest H (m). The spillway is a dam's most critical safety structure: it releases floods safely, preventing overtopping — the leading cause of dam failure. The ogee profile follows the shape of the underside of a free nappe, maximizing discharge while keeping crest pressure near atmospheric (avoiding cavitation). The coefficient C absorbs gravity and approach effects, exceeding that of a sharp-crested weir. Spillway design starts from the design flood (often the 10,000-year flood or the PMF) and sets the required crest length. Enter the discharge coefficient, crest length and head.
Hydraulic Jump Sequent Depth
Calculate the sequent (conjugate) depth downstream of a hydraulic jump, y₂ = (y₁/2)·(√(1 + 8·Fr₁²) − 1), from the upstream depth y₁ (supercritical) and the incoming Froude number Fr₁. The hydraulic jump is the abrupt transition from fast, shallow (supercritical) to slow, deep (subcritical) flow, with strong turbulence and energy dissipation. This Bélanger equation, from momentum conservation, is the basis for designing stilling basins downstream of spillways and gates: water descending a spillway arrives at very high (supercritical) velocity and must be decelerated before returning to the river, otherwise it erodes the bed catastrophically. The sequent depth y₂ sets the required basin depth for a stable jump. Enter the upstream depth and the Froude number.
Hydraulic Jump Energy Loss
Calculate the specific energy dissipated in a hydraulic jump, ΔE = (y₂ − y₁)³ ÷ (4·y₁·y₂), from the upstream y₁ (supercritical) and downstream y₂ (subcritical) sequent depths. The hydraulic jump is one of the most efficient energy dissipators in hydraulics: intense turbulence in the transition converts kinetic energy to heat and sound, removing excess flow energy. This head loss ΔE is exactly what is sought downstream of spillways, gates and bottom outlets — water arrives with very high energy (able to scour the riverbed and undermine the structure), and the stilling basin induces the jump to 'burn' that energy in a controlled way. The higher the incoming Froude number, the greater the dissipated fraction — jumps with Fr > 9 dissipate up to 85%. Enter the upstream and downstream sequent depths.
Hydraulic Jump Length
Estimate a hydraulic jump's length, L ≈ 6.9·(y₂ − y₁), by the classic empirical formula, from the upstream y₁ and downstream y₂ sequent depths. Unlike the sequent depths (from momentum), jump length is empirical, from lab tests, since the jump has no mathematically sharp end — its length is the distance from the upstream face to where the surface stabilizes. Several formulas exist (Smetana ≈ 6(y₂−y₁), USBR vs Fr, Elevatorski ≈ 6.9(y₂−y₁)); all give the order of magnitude. Jump length sets the stilling basin size downstream of a spillway: the basin must be long enough to contain the whole jump so dissipation completes within the concrete-lined structure before water returns to the natural bed. Undersizing throws the still-erosive jump tail onto the unprotected bed. Enter the upstream and downstream sequent depths.
Critical Depth in Rectangular Channel
Calculate the critical depth of a rectangular channel, y_c = (q² ÷ g)^(1/3), from the unit discharge q (flow per unit width, m³/s/m) and gravity g. Critical depth is the depth at which specific energy is minimum, marking the boundary between the two open-flow regimes: above it the flow is subcritical (slow, deep, Fr < 1, downstream-controlled); below, supercritical (fast, shallow, Fr > 1, upstream-controlled); exactly at it, Fr = 1. Critical depth is central to channel and structure hydraulics: it defines the control section at spillways, weirs and flumes (Parshall), where flow passes through the critical regime stably and the stage-discharge relation is unique — allowing flow measurement from head. It also determines whether a hydraulic jump can form and guides water-surface profiles. Enter the channel's unit discharge.
Hydrostatic Thrust on Dam
Calculate the horizontal hydrostatic thrust per metre of length on a dam face, E = ½·γ·H², from the unit weight of water γ (≈ 9.81 kN/m³) and the water depth H (m) at the upstream face. Since hydrostatic pressure grows linearly with depth (p = γ·h), its diagram is triangular and the resultant is its area, ½·γ·H², applied at one third of the height from the base. This thrust is the main action tending to overturn and slide the dam, and the starting point of gravity dam stability analysis: it generates the overturning moment (about the downstream toe) and the horizontal force resisted by base friction. Dam stability depends on its self-weight (providing the stabilizing moment and normal friction force) exceeding these with adequate margin, also accounting for foundation uplift. Enter the unit weight of water and the depth.
Dam Foundation Uplift
Calculate the uplift resultant per metre of length at a gravity dam base, assuming triangular distribution, U = ½·γ_w·H·B, from the unit weight of water γ_w, the head H (upstream water height) and the base width B. Uplift is the water pressure that percolates through the foundation and concrete joints acting upward on the dam base, reducing the effective normal force and thus the sliding friction resistance — one of the most dangerous and historically underestimated factors in dam stability (the 1928 St. Francis Dam failure is a landmark). The real distribution depends on grout curtains and drains, which reduce it; the triangular hypothesis (full upstream, zero downstream) is conservative and common in preliminary design. Uplift subtracts from self-weight in the sliding check and adds overturning moment. Enter the unit weight of water, the head and the base width.
Dam Sliding Safety Factor
Calculate the sliding safety factor of a gravity dam, FS = (μ·W) ÷ F_h, from the base friction coefficient μ (tan of the concrete-foundation friction angle, typically 0.6-0.75), the effective self-weight W (dam weight minus uplift, kN/m) and the destabilizing horizontal force F_h (hydrostatic thrust, kN/m). This factor compares the forces resisting the dam sliding on its foundation (mobilized base friction, proportional to the effective normal force) with those pushing it downstream (the reservoir thrust). It is one of the two fundamental gravity dam stability checks — the other being overturning. Codes typically require sliding FS ≥ 1.5 for normal loading. The simplified form uses friction only; fuller analyses add interface cohesion (c·B). Note how decisive uplift is: it reduces W and thus the numerator — hence the importance of foundation drainage. Enter the friction coefficient, effective weight and horizontal force.
Reservoir Emptying Time
Calculate the time to empty a constant-surface-area reservoir through a bottom orifice, t = 2·A_s·√H ÷ (C_d·A_o·√(2g)), from the water-surface area A_s (m²), the outlet orifice area A_o (m²), the initial head H (m, water height above the orifice) and the discharge coefficient C_d (≈ 0.6 for orifices). The formula integrates Torricelli's equation over the drawdown: as orifice flow drops while the level (and head) falls, emptying decelerates, and total time results from integrating dH/dt. It is useful for designing dam bottom outlets (used to lower the reservoir in emergencies or for maintenance), emptying industrial tanks and basins. Time grows with reservoir area and the square root of head, and falls with orifice area — emptying large reservoirs takes a long time, a real limitation in dam emergency management. It assumes constant A_s; real reservoirs vary with elevation. Enter the surface area, orifice area, initial head and discharge coefficient.
Corrected Runway Length (ARFL)
Calculate the corrected runway length from the aircraft reference field length (ARFL) and the three ICAO correction factors: L = L₀·(1 + 0.07·E/300)·(1 + 0.01·ΔT)·(1 + 0.10·S). The basic length L₀ (m) is required at sea level, ISA atmosphere and level runway; corrections increase it for: aerodrome elevation E (+7% per 300 m, as thin air reduces lift and thrust), temperature ΔT above ISA (+1% per °C, same density reason) and effective runway slope S (+10% per 1% slope, which hinders takeoff acceleration). This is fundamental in airport planning: it decides whether a runway can serve a given aircraft at a given airport. High-altitude, hot-climate airports need far longer runways — the same aircraft needs much more runway in La Paz or Brasília than at sea level. Enter the basic length, elevation, temperature difference and slope.
Effective Runway Slope
Calculate a runway's effective slope, S = (max elevation − min elevation) ÷ length · 100, from the highest and lowest elevations along the runway centerline and its length. The effective slope is the difference between the highest and lowest points of the longitudinal profile divided by total length — a global measure of the incline the aircraft faces. It feeds directly into the runway length correction (+10% length per 1% effective slope), since an uphill runway needs more takeoff acceleration distance. ICAO limits effective slope by runway code (typically 1-2% max for higher codes) and also limits local slopes and their rate of change for safety. Geometric design minimizes effective slope and smooths transitions, balancing earthwork and drainage. Enter the maximum and minimum elevations and the runway length.
Take-Off Distance Available (TODA)
Calculate the Take-Off Distance Available, TODA = TORA + clearway, from the Take-Off Run Available (TORA) and the clearway length. TODA is one of the four declared distances of a runway, central ICAO operational concepts. The clearway is an obstacle-free rectangular area beyond the runway over which the aircraft can complete the initial climb to a minimum height — it extends takeoff distance without extra pavement, since the aircraft is already airborne. The declared distances (TORA, TODA, ASDA, LDA) are published for each runway threshold and used by pilots and dispatchers to verify, for each takeoff, that the aircraft — with its weight, configuration and the day's conditions — fits the available runway with required margins. Enter the TORA and the clearway length.
Accelerate-Stop Distance Available (ASDA)
Calculate the Accelerate-Stop Distance Available, ASDA = TORA + stopway, from the Take-Off Run Available (TORA) and the stopway length. ASDA is one of the four declared distances and has a critical safety role: it is the distance available to accelerate to the decision speed (V₁) and, if the pilot aborts the takeoff (engine failure or other), still stop safely. The stopway is a paved (or adequately strong) area beyond the runway, able to bear the aircraft in an emergency stop, not used in normal operation. Unlike the clearway (for the airborne aircraft), the stopway is for the aircraft on the ground, braking. ASDA is decisive in the balanced field length concept: the point where the distance to continue takeoff (one engine out) equals the distance to abort and stop defines V₁ and the required runway length. Enter the TORA and the stopway length.
Landing Gear Wheel Load
Calculate the main landing gear wheel load, P_wheel = (W·f) ÷ n, from the aircraft weight W (N), the fraction of weight carried by the main gear f (typically ~0.90-0.95, the nose gear carries the rest) and the number of main gear wheels n. This load is the starting point of airport pavement design: it is the force each wheel transmits to the pavement, governing the required thickness and strength of runways, taxiways and aprons. Modern aircraft spread their huge weight over multi-wheel gears (4, 6 or more wheel bogies) precisely to reduce wheel load and pavement damage. The concept links to the ACN/PCN system (Aircraft/Pavement Classification Number) for compatibility checks, and to the equivalent single-wheel load (ESWL) that converts a real multi-wheel gear into one equivalent wheel for design. Enter the aircraft weight, the main gear fraction and the number of wheels.
Runway Hourly Capacity
Estimate a runway's hourly capacity, C = 3600 ÷ T, from the average occupancy or separation time between successive operations T (seconds). A runway's capacity — the maximum operations (landings and takeoffs) per hour — is one of the most important airport planning parameters, setting the airport's traffic limit. The time T is governed by minimum wake-turbulence separation, runway occupancy time (from touchdown to clearing via a rapid-exit taxiway), air traffic control procedures and the aircraft mix. Well-run single runways reach about 40-60 operations per hour; capacity rises with parallel runways, high-speed exits (reducing occupancy time) and optimized procedures. As demand nears capacity, delays grow nonlinearly (queueing theory), driving expansions or flow management (slots). Enter the average time between operations.
Apron Gate Positions
Estimate the number of aircraft parking positions (gates) needed at an airport apron, N = (movements per hour · average dwell time) ÷ 60, from the peak hourly aircraft arrivals and the average dwell (turnaround) time per aircraft, in minutes. The reasoning is a queueing one: if M aircraft arrive per hour and each occupies a position for t minutes, the number simultaneously occupied (and thus needed) is M·t/60. Dwell time includes deboarding, cleaning, fueling, baggage and boarding — typically 30-60 minutes for domestic and more for international. Gate count is a critical terminal sizing: too few causes aircraft waiting to park (very costly) or remote bus stands; too many wastes valuable area and capital. Real design considers aircraft size mix (a wide-body gate occupies several smaller ones), daily variation and an irregularity margin. Enter the peak hourly movements and the average dwell time.
Taxi Time on Taxiway
Calculate an aircraft's taxi time on a taxiway, t = distance ÷ speed, from the distance to cover (m) and the taxi speed (m/s). Taxiing is the aircraft's ground movement between the runway and the apron (gate), under its own engines, at low speed. Taxi time is an important component of total operation time and cost: long taxis (at large airports with runways far from the terminal) burn fuel, generate emissions and delays, and occupy capacity-limited taxiways. Taxi speed is typically 5-15 m/s (about 20-50 km/h) on straights, slowing in curves and crossings. Taxi time feeds ground-traffic modeling, taxiway system sizing, ground fuel-burn and emissions estimates, and airport capacity studies. Efficient airports minimize taxi distances and conflicts with good geometry, well-placed runway exits and ground-traffic management. Enter the taxi distance and speed.
Aircraft Apron Area
Estimate the total area of an aircraft apron, A = number of positions · area per position, from the number of parking positions and the average area each occupies (m²), including the aircraft, surrounding safety clearances and service/circulation lanes. The apron is the airport area where aircraft park for passenger boarding, cargo and ground services. Area per position depends strongly on aircraft size: a code-F position (such as the A380) needs a square tens of metres on a side plus safety margins, occupying several thousand square metres; regional aircraft positions are much smaller. Apron sizing is one of the biggest area consumers on an airport's airside and a high investment (reinforced pavement for parked and maneuvering aircraft loads). The simplified calculation (positions × average area) gives the planning order of magnitude; detailed design positions each gate per the aircraft mix, operation type (nose-in with pushback, or self-maneuvering) and terminal geometry. Enter the number of positions and the area per position.
Railway Cant (Superelevation)
Calculate the theoretical equilibrium cant (superelevation) of a railway curve, h = (B·V²) ÷ (127·R), from the dynamic gauge B (mm, distance between rail centers, ~1500 mm on standard gauge), the speed V (km/h) and the curve radius R (m). Cant is the raising of the outer rail above the inner one in curves, tilting the track inward — so the train's weight component helps provide centripetal force, balancing the centrifugal acceleration felt by passengers and reducing wheel-rail lateral wear. Equilibrium cant fully cancels the unbalanced lateral acceleration for a given speed; in practice a lower cant is adopted, since trains run at varied speeds on the same curve, and construction limits (~150-160 mm) apply for comfort and overturning safety of stopped trains. The difference between equilibrium and applied cant is the cant deficiency (or excess). Enter the gauge, speed and curve radius.
Cant Deficiency
Calculate the cant deficiency of a railway curve, I = (B·V²)/(127·R) − h_a, the difference between the theoretical equilibrium cant (for speed V, radius R, gauge B) and the cant actually applied to the track h_a (mm). Deficiency is the share of lateral acceleration NOT compensated by the applied cant — the residual centrifugal acceleration felt by passengers and transmitted laterally to the outer rail. Since a curve has fixed cant but is run at different speeds (slow freight, fast express), it is impossible to balance all: fast trains run with deficiency (outward force), slow ones with excess. Codes limit allowable deficiency (typically 100-150 mm for conventional trains, more for tilting trains) for comfort, safety and wear. Deficiency lets trains run above the curve's equilibrium speed within safe limits. Enter the gauge, speed, radius and applied cant.
Railway Minimum Curve Radius
Calculate the minimum railway curve radius for a design speed, R = (B·V²) ÷ (127·(h_max + I_max)), from the gauge B (mm), speed V (km/h), maximum allowable cant h_max (mm) and maximum allowable cant deficiency I_max (mm). The minimum radius is set by combining the two comfort/safety limits available to 'absorb' lateral acceleration at the desired speed: the maximum buildable cant (limited by overturning risk of slow/stopped trains) and the maximum deficiency allowed to passengers. The larger these limits, the smaller the radius for a given speed — but both have normative caps. This is central to railway alignment: it defines how sharp a curve can be without speed reduction. Sharper curves require slowing down, penalizing travel time and line capacity — so high-speed railways need huge radii (kilometers). Enter the gauge, speed, maximum cant and maximum deficiency.
Railway Curve Maximum Speed
Calculate the maximum allowable speed on a railway curve, V = √(127·R·(h_a + I) ÷ B), from the curve radius R (m), the applied cant h_a (mm), the allowable cant deficiency I (mm) and the gauge B (mm). It is the inverse of curve design: given an existing curve (radius and cant) and the permitted deficiency, it finds the maximum speed trains can run safely and comfortably. Speed is limited because above it the cant deficiency would exceed the allowable — passengers would feel excessive lateral force and wheel-rail wear and risk would rise. This is fundamental in railway operation: it defines each section's maximum speeds (line speed profile) and travel time. Raising speed on existing curves needs more cant (limited), more allowed deficiency (tilting trains) or, ultimately, larger-radius regrading — an expensive work. Enter the radius, applied cant, allowable deficiency and gauge.
Rail Thermal Force (CWR)
Calculate the axial thermal force in a continuous welded rail (CWR), F = E·A·α·ΔT, from the steel elastic modulus E (Pa), the rail section area A (m²), the thermal expansion coefficient α (1/°C) and the temperature change ΔT from the neutral temperature (°C). In CWR — where rails are welded into hundreds-of-metre or kilometre strings, removing joints — thermal expansion is PREVENTED by track fastening, so a temperature change, instead of changing length, generates a huge internal axial force: compression in heat (risk of track buckling, which misaligns the rails) and tension in cold (risk of rail or weld fracture). Since the force does not depend on length (only section and ΔT), it can reach hundreds of kN. So CWR is installed at a neutral (stress-free) temperature chosen mid-range, minimizing compression and tension extremes. This is essential to modern track safety and to set the laying neutral temperature. Enter the elastic modulus, section area, expansion coefficient and temperature change.
Railcar Axle Load
Calculate a rail vehicle's axle load, P_axle = total weight ÷ number of axles, from the gross weight of the wagon or locomotive (N, tare plus load) and the number of axles. Axle load is the most important parameter for track design: it is the force each axle transmits to the track (and, per wheel, to each rail), governing stresses in the rail, sleepers, ballast and subgrade. Railways are classified by their axle-load capacity: heavy-haul railways (such as ore lines) run at 30-40 tonnes per axle and need heavy rail, concrete sleepers and reinforced ballast; passenger and light-freight lines run lower loads. Exceeding the allowable axle load causes accelerated fatigue, permanent deformation and failures — so rolling-stock and track-class compatibility is strictly controlled. Axle load also limits maximum train weight and thus transport productivity. Enter the total weight and the number of axles.
Train Movement Resistance (Davis)
Calculate a train's specific movement resistance by the Davis equation, R = A + B·V + C·V², from coefficient A (rolling resistance and mechanical friction, speed-independent), B (resistance proportional to speed, from flange friction and oscillations), C (aerodynamic resistance, proportional to speed squared) and the speed V (km/h). The Davis equation, from the 1920s and still standard in railway engineering, describes the total resistance to motion the locomotive must overcome on straight, level track, per unit weight (N/t or kgf/t). At low speed the constant and linear terms (friction) dominate; at high speed the quadratic aerodynamic term dominates, decisive for high-speed trains (hence their careful streamlining). Davis resistance, plus grade (gravity) and curve resistances, sets the required tractive effort, energy consumption and locomotive traction capacity. It is the basis of traction calculation and train performance. Enter coefficients A, B and C and the speed.
Adhesion Tractive Effort (Locomotive)
Calculate a locomotive's maximum tractive effort limited by adhesion, F = μ·W, from the wheel-rail adhesion coefficient μ (typically 0.25-0.35 dry, less with rain, ice or leaves) and the adhesive weight W (N, the locomotive weight on powered axles). Tractive effort is the force the locomotive applies to pull the train, with two limits: power (engine) and adhesion (wheel-rail friction). At low speed and starting, ADHESION limits — however powerful the engine, if the demanded force exceeds μ·W, the wheels spin, losing traction and wearing wheels and rails. So locomotives concentrate weight on powered axles (adhesive weight) and use anti-slip systems and sand application to boost friction. The steel-on-steel railway contact has very low rolling resistance (the train's great energy advantage) but precisely therefore limited adhesion — the fundamental paradox of rail traction. This defines the maximum train a locomotive can start and pull on a grade. Enter the adhesion coefficient and the adhesive weight.
Curve-Compensated Grade (Railway)
Calculate the compensated grade of a railway section on a curve, i_c = i − 700/R, from the actual section grade i (in ‰, per mille) and the curve radius R (m). When a grade coincides with a curve, the train faces both the climb resistance (gravity) and the extra curve resistance (added wheel-rail friction when changing direction). So the total resistance does not exceed that of the maximum tangent grade, the actual grade on the curve must be reduced (compensated) — subtracting a value equivalent to the curve resistance, commonly estimated as 700/R (in ‰, a usual empirical approximation; some manuals use 500/R or 600/R by gauge). Thus the compensated grade is the equivalent grade the train 'feels' including the curve. This is essential in railway geometric design: it keeps the required tractive effort uniform along the line, preventing a curve-on-grade from creating a critical point (a 'traction bottleneck') that would limit all trains' weight. The designer reduces the grade on curved sections to compensate. Enter the actual grade and the curve radius.
Extruder Drag Flow
Calculate the drag flow of a single-screw extruder, Q_d = ½·π²·D²·N·H·sin(φ)·cos(φ), from the barrel diameter D (m), screw speed N (rev/s), metering-zone channel depth H (m) and helix angle φ (degrees). Drag flow is an extruder's main pumping mechanism: the melt is dragged forward by the relative motion between the rotating screw and the fixed barrel, like a screw pushing a nut that cannot turn. This viscous drag is proportional to screw speed and channel geometry, and would be the maximum theoretical flow with no back-pressure. In practice the net flow is the drag flow MINUS the pressure flow (the backflow from die/head resistance). The balance between drag and pressure sets the extruder's operating point on its characteristic curve. Drag flow is the basis of extrusion screw design, the process that makes pipes, profiles, films, sheets, wire and the pellets of nearly all transformed plastic. Enter the diameter, speed, channel depth and helix angle.
Screw Channel Shear Rate
Calculate the average shear rate in an extrusion screw channel, γ̇ = (π·D·N) ÷ H, from the barrel diameter D (m), screw speed N (rev/s) and channel depth H (m). Shear rate is the velocity gradient the molten polymer experiences between the moving screw surface and the fixed barrel, and it is central to plastics processing for a key reason: molten polymers are NON-Newtonian pseudoplastic fluids whose viscosity DECREASES as shear rate rises (shear thinning). Knowing the shear rate lets you estimate the material's real viscosity in the machine (via the power law) and thus pressure, power and viscous heating. Very high shear can degrade the polymer (chain scission by shear and heat); too low leaves melting incomplete. Each polymer has a suitable range. This screw-channel shear rate differs from the (much higher) die shear rate at the exit restriction. It is a basic processing-rheology calculation. Enter the diameter, speed and channel depth.
Screw Compression Ratio
Calculate an extrusion screw's compression ratio, CR = H_feed ÷ H_metering, from the channel depth in the feed zone H_feed and the metering zone H_metering. An extrusion screw has three zones: feed (deep channel, receiving solid pellets), compression (transition, channel tapering) and metering (shallow channel, homogenizing and pumping the melt). The compression ratio is how much the channel narrows from inlet to outlet — typically 2:1 to 4:1. This compression is essential: by reducing channel volume it compacts the pellets, expels trapped air (which must vent back through the feed, not go forward) and generates the shear and pressure that melt the polymer by viscous heating (plus barrel heat). The right ratio depends on the polymer: materials melting with large volume reduction and amorphous ones need different ratios from semicrystalline. A wrong ratio causes incomplete melting, air pumping, flow instability (surging) or degradation. It is one of the parameters that define whether a screw suits a given material. Enter the feed and metering channel depths.
Die Swell Ratio
Calculate the die swell ratio, B = D_extrudate ÷ D_die, from the extrudate diameter once it stabilizes D_extrudate and the die orifice diameter D_die. Die swell is one of extrusion's most characteristic and challenging phenomena: on leaving the die, the molten polymer EXPANDS, ending up larger than the orifice that shaped it (swells of 1.2-2× are common). The cause is the VISCOELASTIC nature of polymers: inside the die, the long molecular chains are compressed and oriented (stretched) by the flow; on exiting and losing confinement, they relax and elastically recoil, like a spring, swelling the material. Swell is greater the more elastic the polymer, the higher the shear rate and the shorter the die (less time to relax inside). It is critical in die design: to make a pipe or profile of the exact target size, the die must be designed SMALLER, anticipating the swell — and since it varies with temperature and speed, controlling swell is essential for dimensional accuracy. Enter the extrudate diameter and the die diameter.
Draw-Down Ratio
Calculate an extrudate's draw-down ratio (DDR), DDR = (D_die ÷ D_product)², from the die orifice diameter D_die and the final product diameter D_product, as the ratio of cross-sectional areas. After leaving the die, the extrudate (a wire, tube, filament) is often PULLED and stretched by a haul-off at a speed higher than the exit speed, reducing its cross-section to the final size. The draw-down ratio is how much the section area is reduced. Drawing not only sets the final size but ORIENTS the molecular chains in the pull direction, which can greatly increase the product's mechanical strength in that direction (used in oriented fibers, tapes and films, far stronger than unoriented material). The draw-down ratio, combined with die swell, sets the relation between orifice size and final product. There are limits: excessive drawing can break the extrudate or cause defects. It is a key parameter in making fibers, monofilaments, small-diameter tubes and wire coating. Enter the die diameter and the final product diameter.
Extrusion Specific Energy (SEC)
Calculate the extrusion specific energy consumption (SEC), SEC = power ÷ mass throughput, from the screw motor power (kW) and the mass throughput (kg/h). The result, in kWh/kg, is the energy to process each kilogram of polymer, and the main ENERGY-EFFICIENCY indicator of an extruder. Since extrusion melts and pumps plastic largely by VISCOUS heating (screw mechanical energy converted to heat by shear), specific consumption directly reflects how well the screw is doing its job. Typical values are 0.1-0.4 kWh/kg, varying with polymer (each has a melting enthalpy), screw geometry, speed and temperature. An abnormally HIGH SEC signals problems — wrong screw, excessive shear (which can degrade the material), poor temperature setting — and energy waste (the largest part of an extruder's operating cost). A very low SEC may indicate incomplete melting. Monitoring SEC is central to efficiency, quality and cutting cost and emissions in plastics processing. Enter the power consumed and the mass throughput.
Extruder Head Pressure
Estimate an extruder's head pressure, ΔP = (Q·μ) ÷ K, from the volumetric flow Q (m³/s), the melt viscosity μ (Pa·s) and the die conductance constant K (m³, summarizing the head+die flow-resistance geometry). Head pressure is the pressure the melt reaches at the screw end, before being forced through the die that gives the product its final shape. It results from the balance between the screw's pumping capacity (drag flow) and the die's resistance: more restrictive dies (smaller orifices, longer narrower channels) need higher pressure for the same flow. Extrusion pressures are very high — typically 100-400 bar (10-40 MPa) — and measuring and controlling them is essential: pressure indicates process state (blockages, viscosity changes from temperature, screw wear), governs flow and product uniformity, and has safety limits (excessive pressure can rupture the head or trigger burst disks). The screw-die balance, shown in the extruder's characteristic curve, is the heart of process control. Enter the flow, viscosity and die constant.
Blow-Up Ratio (Blown Film)
Calculate the blow-up ratio (BUR) in blown-film tubular extrusion, BUR = D_bubble ÷ D_die, from the film bubble diameter D_bubble and the annular die diameter D_die. Blown-film extrusion makes most of the world's plastic films (bags, packaging, sacks, sheeting): the melt is extruded through an annular die forming a tube, which is then INFLATED with compressed air like an elongated balloon and pulled upward at once, stretching the film in two directions to its final thickness (a few micrometres). The blow-up ratio is how much the tube is inflated relative to the die diameter — typically 1.5:1 to 4:1. It controls molecular orientation in the TRANSVERSE (circumferential) direction: a higher BUR stretches the film more in width, balancing its properties in both directions (transverse by blowing and longitudinal by pulling). The balance between blow-up and draw (pulling) sets the biaxial orientation, which determines the film's strength, stiffness, clarity and tear behavior. Adjusting BUR is a main control variable in making blown films with the desired properties. Enter the bubble diameter and the die diameter.
Extrusion Haul-Off Speed
Calculate the haul-off speed of an extrudate by mass conservation, v = Q ÷ A, from the extruder volumetric flow Q (m³/s) and the final product cross-sectional area A (m²). After the die, the extrudate is pulled by a haul-off (belts, rollers, winder) at a speed that must be SYNCHRONIZED with the extruder flow: by mass conservation, in steady state, the volume leaving the extruder per second must equal the volume the haul-off removes per second (product area times line speed). If haul-off is too fast for the flow, the product thins below size or breaks; if too slow, material accumulates and deforms. This speed sets the line's PRODUCTIVITY (metres per minute) and, with die swell and draw-down ratio, sets the final dimensions. Controlling the extrusion-haul-off synchrony — often with dimension sensors and closed loop — is essential for dimensional uniformity of pipes, profiles, wire and sheet. This gives the theoretical line speed from flow and desired section. Enter the flow and the product section area.
Silo Vertical Pressure (Janssen)
Calculate the vertical pressure of stored product at a silo cross-section by the Janssen equation, p_v = (γ·D)/(4·μ·K)·(1 − e^(−4·μ·K·z/D)), from the product unit weight γ (N/m³), silo diameter D (m), product-wall friction coefficient μ, lateral pressure ratio K and depth z (m). The Janssen equation (1895) is the basis of silo structural design and reveals a counterintuitive, fundamental fact: pressure at the bottom of a silo does NOT grow indefinitely with product height like a liquid (p = γ·h). Instead it tends to a LIMIT (asymptotic) value. This is because granular product (grain, cement, ore) transmits part of its weight LATERALLY to the walls, and product-wall friction 'holds' that load, relieving the bottom. The deeper it goes, the larger the fraction of weight carried by wall friction, until all added weight is absorbed by the walls and bottom pressure stabilizes. So silos can be very tall without bottom pressures proportional to height. This arching and wall-friction effect is the heart of silo design. Enter the unit weight, diameter, friction coefficient, lateral pressure ratio and depth.
Silo Horizontal Pressure (Janssen)
Calculate the horizontal pressure the stored product exerts on a silo wall by the Janssen equation, p_h = (γ·D)/(4·μ)·(1 − e^(−4·μ·K·z/D)), from the unit weight γ, diameter D, product-wall friction coefficient μ, lateral pressure ratio K and depth z. Horizontal pressure is the outward thrust grains apply against the silo walls — the load that sizes the wall for hoop tension (in cylindrical silos, the wall acts as a ring under internal pressure). It relates to vertical pressure by the lateral pressure ratio K (p_h = K·p_v), typically 0.3-0.6 for granular products and depending on the product's internal friction angle. Like vertical pressure, horizontal pressure tends to an asymptotic value with depth, by the same wall-friction effect of Janssen theory. Horizontal pressure is decisive for the thickness and reinforcement of concrete silo walls and the plating of steel silos, and rises significantly during DISCHARGE (dynamic overpressure), which codes handle with amplification factors. Enter the unit weight, diameter, friction coefficient, lateral pressure ratio and depth.
Janssen Characteristic Depth
Calculate a silo's Janssen characteristic depth, z₀ = D ÷ (4·μ·K), from the diameter D, product-wall friction coefficient μ and lateral pressure ratio K. The characteristic depth governs how fast silo pressures approach their asymptotic (limit) value: in the Janssen equation, it is the depth at which pressure reaches about 63% (1 − 1/e) of the maximum. Depths of a few times z₀ practically reach the limit pressure. Conceptually, z₀ shows how 'deep' the silo must be for wall friction to dominate: silos with small z₀ (small diameter, high friction) quickly reach the constant-pressure regime and behave as slender (tall) silos; silos with large z₀ (large diameter) saturate slowly and behave more like squat silos, where much of the weight still reaches the bottom. The characteristic depth is thus a natural measure of the vertical 'scale' of the silo's pressure behavior, useful to classify it and understand its load profile. Enter the diameter, friction coefficient and lateral pressure ratio.
Silo Asymptotic Pressure
Calculate the asymptotic (saturation) vertical pressure of a deep silo, p_∞ = (γ·D) ÷ (4·μ·K), from the product unit weight γ, diameter D, product-wall friction coefficient μ and lateral pressure ratio K. This is the LIMIT value the Janssen vertical pressure tends to at great depth — the maximum bottom pressure a silo can reach, however tall the stored product. It is Janssen's most striking result: while in a liquid pressure would grow without limit with height (p = γ·h), in granular product WALL FRICTION absorbs all added weight beyond a certain depth, making bottom pressure SATURATE. So a 30 m silo of grain may have a bottom pressure equal to only a few metres of product column. This asymptotic pressure is fundamental in design: it sets the maximum bottom and wall load the structure must bear, regardless of height, and explains why silos can be built slender and tall with relatively modest foundations. Note it is proportional to diameter and inversely proportional to friction — wide, smooth-walled silos generate higher pressures. Enter the unit weight, diameter, friction coefficient and lateral pressure ratio.
Silo Discharge Overpressure
Calculate the DISCHARGE horizontal pressure in a silo, p_d = C_d · p_h, from the discharge overpressure coefficient C_d and the static horizontal pressure p_h (from Janssen for the full silo at rest). One of the most important phenomena — historically responsible for many silo failures — is that wall pressures during DISCHARGE are SIGNIFICANTLY HIGHER than static pressures with the silo merely full. When the product starts flowing toward the outlet, flow zones and dynamic arches form, and stress redistribution generates pressure peaks (overpressures) on the wall, especially at the transition from the cylindrical body to the hopper. The overpressure coefficient C_d (typically 1.3-2.0 or more, per the code, flow type — mass or funnel — and geometry) amplifies the static pressure to cover these dynamic peaks. Silo design codes (such as EN 1991-4 / Eurocode and ANSI) prescribe these factors precisely because designing a silo only for static loads, ignoring discharge overpressure, is a classic cause of structural collapse. Enter the overpressure coefficient and the static horizontal pressure.
Granular Discharge Rate (Beverloo)
Calculate the mass discharge rate of a granular material through a bottom orifice by the Beverloo equation, W = C·ρ·√g·(D₀ − k·d)^2.5, from the discharge coefficient C (~0.58), the bulk density ρ (kg/m³), the orifice diameter D₀ (m), the particle diameter d (m) and the shape factor k (~1.4). The empirical Beverloo equation describes a fascinating behavior distinct from liquids: the grain discharge rate through an orifice does NOT depend on the product height above it (unlike a liquid, whose flow grows with head). This is due to the Janssen arching effect — bottom pressure saturates, so flow depends essentially on orifice size, not the amount of product above. That is why an hourglass keeps time steadily: sand flows at the same rate whether the top bulb is full or nearly empty. Flow is proportional to (D₀ − k·d)^2.5 — note the 2.5 exponent (not 2, of area) and the k·d term, an effective 'empty annulus' near the orifice edge where grains do not pass. Beverloo is fundamental in designing silos, hoppers, feeders and dosers in grain, cement, pharmaceutical and mining industries. Enter the coefficient, density, orifice diameter, particle diameter and shape factor.
Grain Conical Pile Volume
Calculate the volume of a conical pile of granular material formed by free pouring, V = (π/3)·r³·tan(θ), from the pile base radius r (m) and the material's angle of repose θ (degrees). When granular material is freely poured onto a surface, it naturally forms a CONE whose side slope is the angle of repose — a characteristic property of each material (dry sand ~30-35°, grain ~25-30°, crushed stone ~37-40°) reflecting inter-particle friction. Since the cone height is h = r·tan(θ), the cone volume (1/3·π·r²·h) becomes (π/3)·r³·tan(θ), a function of radius and angle of repose only. This is widely used in practice to estimate, from a survey or base-radius measurement, the volume (and with density, the mass) of open stockpiles — piles of grain, sand, crushed stone, coal, ore, fertilizer in yards and warehouses. It is the basis of bulk-material inventory in piles, a quick alternative to weighing. It also guides stockyard area and height sizing and bulk-warehouse design. For elongated piles (prismatic with conical ends), add the central part. Enter the base radius and the angle of repose.
Cylindrical Silo Capacity
Calculate the storage capacity (mass) of a silo's cylindrical part, M = ρ · (π·D²/4) · H, from the product bulk density ρ (kg/m³), the silo inner diameter D (m) and the cylindrical body height H (m). The calculation combines the cylinder volume (section area times height) with the product's bulk density — the product mass per unit apparent volume, which includes the voids between particles and differs from the solid particle density. Bulk density varies with product and state: soybeans ~720 kg/m³, corn ~720, wheat ~770, cement ~1500, and it also changes with moisture and compaction. Capacity is a silo's most basic commercial and operational parameter: it sets how much product it stores, and thus the logistics of receiving, dispatch and stock turnover. This computes the cylindrical part; total capacity also includes the lower hopper volume and, in grain silos, the upper product cone above the transition line (formed by the angle of repose during filling). Correctly estimating capacity is essential in designing storage units, cooperatives and grain terminals. Enter the bulk density, diameter and cylindrical body height.
Silo Slenderness Ratio
Calculate a silo's slenderness ratio, λ = H ÷ D, from the stored product height H (m) and the silo diameter D (m). This simple ratio is the fundamental criterion that CLASSIFIES silos and determines how their pressures behave and how codes treat them. Silos with HIGH slenderness (typically H/D ≥ 1.5-2, called slender or 'tall') are dominated by the Janssen wall-friction effect: pressure saturates quickly, most weight transfers to the walls, and the bottom receives a much lower pressure than the product column would suggest. Silos with LOW ratio (H/D < 1.0-1.5, called squat) behave intermediately between Janssen and a tank: wall friction has less extent to act, and a larger fraction of weight reaches the bottom. This distinction changes the applicable pressure formulas, the discharge overpressure factors and even the expected flow type. The slenderness ratio is thus the first decision in silo analysis — it sets which load model to use and influences the whole structural concept, from foundation to walls. Enter the product height and the silo diameter.
Machining Cutting Speed
Calculate the machining cutting speed, Vc = (π·D·n) ÷ 1000, from the diameter D (mm — of the workpiece in turning or the tool in milling) and the rotation n (rpm). The result, in m/min, is the relative tangential speed between the cutting edge and the workpiece — the MOST important machining parameter, governing cutting temperature, tool wear, finish and productivity. Each workpiece-tool material combination has an optimal cutting-speed range recommended by makers: too high overheats and wears the tool fast (shortening life per Taylor's equation); too low cuts productivity and can cause built-up edge (BUE) and poor finish. Cutting speed is the starting point of any machining plan: from it and the diameter, the machine rpm is computed; it depends on material (steel, aluminum, titanium have very different ranges), tool material (HSS, carbide, ceramic) and operation. Enter the diameter and the rotation.
Machining Spindle Speed
Calculate the spindle speed (RPM) needed in machining, n = (1000·Vc) ÷ (π·D), from the desired cutting speed Vc (m/min) and the diameter D (mm — workpiece in turning or tool in milling). It is the inverse of the cutting-speed calculation, and the most used on the shop floor: the operator knows the material, picks the recommended cutting speed from tables, and must convert it to the rpm to set on the machine. The relation reveals a key point: for the same cutting speed, SMALLER-diameter parts or tools require HIGHER rpm (and vice versa). So turning a part of varying diameter (facing, tapers) at constant cutting speed requires continuously varying the rpm — done automatically by CNC lathes (G96, constant surface speed), while on conventional lathes the operator adjusts by ranges. Getting rpm right is essential for tool life, finish and safety (excessive rpm on large parts creates dangerous centrifugal forces). Enter the cutting speed and the diameter.
Feed per Tooth (Milling)
Calculate the feed per tooth in milling, f_z = v_f ÷ (z·n), from the table feed rate v_f (mm/min), the number of cutter teeth (cutting edges) z and the rotation n (rpm). Feed per tooth is the material thickness EACH cutter tooth removes per pass through the part, and it directly controls chip thickness, the load on each edge and thus tool life and finish. Makers specify a recommended feed per tooth for each tool-material pair: too HIGH overloads and chips the teeth (chip too thick); too LOW makes the edge rub instead of cut, causing friction, heat and premature wear, plus low productivity. The relation shows how the table feed rate (programmed by the operator) connects to feed per tooth (the cutting physics): v_f = f_z·z·n. So cutters with more teeth allow higher feed rates at the same feed per tooth — the basis of high-productivity milling. Enter the feed rate, the number of teeth and the rotation.
Material Removal Rate (Turning)
Calculate the material removal rate (MRR) in turning, Q = Vc·a_p·f, from the cutting speed Vc (m/min), the depth of cut a_p (mm) and the feed f (mm/rev). The result, in cm³/min, is the material volume removed per unit time — the direct measure of machining PRODUCTIVITY. Maximizing MRR (cutting fabrication time and cost per part) is the core goal in roughing, achieved by increasing any of the three factors: cutting speed, depth or feed. But there are limits and trade-offs: higher speed shortens tool life (Taylor); higher depth and feed raise the cutting force and power required (which may exceed machine capacity or cause chatter) and worsen finish. So the typical strategy uses high MRR in ROUGHING (productivity) and low in FINISHING (precision and roughness). MRR times the material's specific cutting energy gives the required power. Enter the cutting speed, depth of cut and feed.
Turning Time
Calculate the cutting time of one turning pass, t = L ÷ (f·n), from the length to machine L (mm), the feed f (mm/rev) and the rotation n (rpm). The product f·n is the tool feed rate (mm/min); dividing the length by it gives the pass time. This is the PRODUCTIVE cutting time of a longitudinal turning operation (the tool traversing the part length), and the basis of total fabrication time and thus machining cost and production planning. Total time also includes non-productive times (tool approach and retract, part change, measuring, tool change) and the number of passes needed (depending on material to remove and depth per pass). Cutting time — by raising feed and rotation (and thus cutting speed) — is the path to productivity, always within tool life, machine power and required finish limits. This is essential to quote machined parts and size a machine shop's capacity. Enter the length, feed and rotation.
Machining Cutting Force
Calculate the main cutting force in machining, F_c = k_s·a_p·f, from the specific cutting pressure k_s (N/mm², a workpiece-material property) and the cut section area (depth a_p × feed f, both mm). Cutting force is the main component of the force the tool exerts on the part (along the cutting-speed direction), and it sets the POWER required, the loads on the tool, holder, spindle and machine structure, and the part deflection. The specific cutting pressure k_s is the force per unit chip-section area, varying with material (steels ~1500-3000 N/mm², aluminum ~500-900, titanium and stainless much more), with feed (k_s drops at larger feeds — size effect) and with tool geometry. Knowing the cutting force is essential to: size the machine motor power, check that the fixturing (chuck, vise) holds, predict deflection of slender parts (causing dimensional error) and avoid tool breakage. It is a central machining process-planning calculation. Enter the specific cutting pressure, depth of cut and feed.
Machining Cutting Power
Calculate the cutting power in machining, P_c = (F_c·Vc) ÷ 60000, from the main cutting force F_c (N) and the cutting speed Vc (m/min); the result is in kW (60000 converts N·m/min to kW). Cutting power is the mechanical power the operation consumes to remove material, decisive for machine selection: the spindle motor must supply this power (plus losses, dividing by drive efficiency, typically 0.7-0.9) without stalling in the cut. If the required power exceeds the available, the machine loses speed, the cut jams or the tool breaks — so heavy roughing needs robust machines. Cutting power also relates to MRR by the specific cutting energy (P_c = u·Q, where u is energy per unit volume removed) — a practical alternative to estimate it directly from removed volume. Computing power is essential for planning (choosing the right machine), optimizing parameters (extracting the most from available power) and estimating energy use and heating. Enter the cutting force and the cutting speed.
Tool Life (Taylor's Equation)
Calculate a cutting tool's life by Taylor's equation, T = (C ÷ Vc)^(1/n), from the constant C (the cutting speed giving 1 minute of life, characteristic of the tool-material pair), the cutting speed Vc (m/min) and the exponent n (depending on tool material). Formulated by F. W. Taylor in 1907 from thousands of tests, this is machining's most famous relation and describes a fundamental trade-off: the HIGHER the cutting speed, the SHORTER the tool life — and steeply, since it is a power law. The exponent n quantifies the sensitivity: for HSS n ≈ 0.1 (life drops very fast with speed), for carbide n ≈ 0.2-0.3, for ceramic n ≈ 0.4-0.6 (less sensitive, allowing much higher speeds). Taylor's equation is the basis of economic OPTIMIZATION of machining: there is an optimal cutting speed minimizing total cost per part, balancing cutting time (falling with speed) against tool and change-downtime cost (rising with speed). Speeds above optimum 'burn' costly tools too fast; below, waste machine time. Enter the constant C, the cutting speed and the exponent n.
Theoretical Turning Roughness
Calculate the theoretical mean roughness (Ra) generated in turning, Ra ≈ (f² ÷ (32·r_ε))·1000, from the feed f (mm/rev) and the tool nose radius r_ε (mm); the result is in micrometres (μm). In turning, the round-nosed tool leaves, each revolution, small crests and valleys — the feed advances the tool, and the nose radius 'copies' its profile onto the surface, creating a geometric roughness of microscopic threads. This formula predicts the IDEAL (theoretical) roughness from this geometry alone. The result reveals the two classic ways to improve turning finish: REDUCE the feed (Ra falls with f² — halving feed improves roughness fourfold) or INCREASE the tool nose radius (Ra is inversely proportional to r_ε). That is why finishing passes use small feeds and more rounded tools. REAL roughness is always worse than theoretical, due to vibration, built-up edge, tool wear and material deformation; but the theoretical is the lower bound and the starting point to pick finishing parameters. Enter the feed and the tool nose radius.
Punching Force (Sheet Cutting)
Calculate the force to punch (cut) a round hole in sheet metal, F = π·D·t·τ, from the hole diameter D (mm), sheet thickness t (mm) and the material shear strength τ (N/mm²). The product π·D is the cut perimeter; times thickness gives the area to be sheared; times shear strength gives the force. Punching (and sheet cutting in general, like blanking) is one of the most common stamping operations: a punch descends against a die, with a small clearance, and shears the material, separating the part or scrap. Computing the force is essential to select the press (whose tonnage capacity must exceed the force with margin) and to size the tooling. Force can be reduced with tricks like adding a shear angle to the punch or die, making the cut progressive instead of simultaneous over the whole perimeter — reducing the peak force (but increasing stroke). Knowing the force also lets you estimate the operation's work and energy. Enter the hole diameter, thickness and shear strength.
V-Bending Force
Calculate the force to bend a sheet in a V-die, F = (C·σ_r·L·t²) ÷ V, from the process constant C (~1.33 for free V-bending), the material tensile strength σ_r (N/mm²), the bend length L (mm), the sheet thickness t (mm) and the V-die opening V (mm). V-bending is the most common forming operation on press brakes: the sheet rests on a V-shaped die and a punch forces it in, bending it to the desired angle. Force grows with the SQUARE of thickness (thicker sheets need much higher forces) and with material strength, and decreases with die opening (larger V → lower force, but larger bend radius). The rule of thumb uses V ≈ 6-8 times the thickness. Computing the force is essential to select the press brake (tonnage) and not overload the tooling. The bend-tonnage tables ubiquitous in sheet shops are exactly this formula applied to combinations of thickness, material and die opening. Enter the constant, tensile strength, length, thickness and die opening.
Bend Allowance (Flat Length)
Calculate the material length consumed in a bend (bend allowance), BA = (π/180)·θ·(R + K·t), from the bend angle θ (degrees), inner bend radius R (mm), thickness t (mm) and K factor (neutral-line factor, typically 0.33-0.5). This is one of the most important — and subtlest — calculations in sheet metal work: to make a bent part to correct dimensions, you must know the FLAT sheet (blank) size before bending. The catch is that, on bending, the outer face STRETCHES and the inner face COMPRESSES, and there is an intermediate line — the neutral line — that does not change length. The K factor locates that neutral line within the thickness (not exactly in the middle, but shifted inward, so K < 0.5). The total developed length is the sum of the straight flanges plus each bend's allowance. Getting this wrong makes out-of-size parts — a costly production error. So blank development (with K factors calibrated by material and process) is a critical step in sheet-part design, now automated in sheet-metal CAD. Enter the angle, inner radius, thickness and K factor.
Minimum Bend Radius
Estimate a sheet's minimum bend radius, R_min = t·(50/r − 1), from the thickness t (mm) and the material's percent reduction of area r in the tensile test (%, a ductility measure). The minimum radius is the smallest inner radius you can bend a sheet to WITHOUT cracking the outer face (which is in tension). Bending below the minimum causes cracks or rupture in the outer fiber, where tensile strain exceeds the material's capacity. The minimum radius depends strongly on the material's DUCTILITY (here via reduction of area r): very ductile materials (annealed aluminum, low-carbon steels) can be bent to nearly zero radius (sharp bend), while brittle or work-hardened materials need large radii. It also depends on the bend ORIENTATION relative to the sheet's rolling direction (bending across the rolling direction allows smaller radii than along it, due to anisotropy). Knowing the minimum radius is essential in bent-part design: specifying a smaller radius than possible leads to crack scrap. It is common to express the minimum radius as multiples of thickness (e.g. '2t'). Enter the thickness and the material's reduction of area.
Cup Deep-Drawing Force
Calculate the deep-drawing force to form a cylindrical cup, F = π·d·t·σ_r·(D/d − 0.7), from the punch (cup) diameter d (mm), the sheet thickness t (mm), the material tensile strength σ_r (N/mm²) and the blank (disc) diameter D (mm). Deep drawing turns a flat disc into a hollow body (cup, can, pot, fuel tank, body panel): a punch pushes the disc center through a die, and the rim material flows radially inward, forming the cup wall. Force grows with the drawing ratio D/d (the larger the disc relative to the cup, the more material must flow and the higher the force), with material strength and thickness. The (D/d − 0.7) term is a classic empirical approximation (Siebel's formula) including friction and deformation work. Computing the force is essential to select the press and avoid RUPTURE of the cup bottom (if the force exceeds the already-formed wall's strength, the bottom tears). It is a central calculation in metal packaging, appliances and auto parts. Enter the punch diameter, thickness, tensile strength and blank diameter.
Drawing Ratio (LDR)
Calculate the drawing ratio, β = D ÷ d, from the blank (initial disc) diameter D (mm) and the punch (cup) diameter d (mm). The drawing ratio measures how 'deep' the draw is — how much the disc is reduced to form the cup. It is the fundamental parameter determining a draw operation's FEASIBILITY: there is a maximum ratio, the Limiting Drawing Ratio (LDR), above which the cup CANNOT be formed in one operation, because the required force would exceed the cup wall's strength, tearing the bottom. For most steels and aluminums the LDR is around 1.8-2.2 (depends on material anisotropy, the Lankford r value — high-r materials draw better). If the desired ratio exceeds the LDR, the cup must be formed in SEVERAL successive operations (redrawing), reducing the diameter gradually, possibly with intermediate annealing to restore ductility. The drawing ratio is thus the first check in any drawn-part design: it sets whether it is possible in one pass, in how many passes, and guides material choice. Enter the blank and punch diameters.
Blank Diameter for Cup
Calculate the blank (initial flat disc) diameter needed to draw a cylindrical cup, D = √(d² + 4·d·h), from the cup diameter d (mm) and the cup height h (mm), by area conservation. The calculation rests on a fundamental drawing principle: the operation does NOT significantly change the sheet thickness (ideally drawing conserves volume and, with constant thickness, conserves surface AREA). So the flat disc area must equal the cup surface area (bottom + side wall). Equating π·D²/4 = π·d²/4 + π·d·h and solving for D gives the formula. This is the starting point of any drawn-part design: it sets the disc size to cut from the coil or sheet, which determines material consumption (and thus cost and yield, optimized by blank arrangement — nesting). For cups with flange, rounded bottom or non-straight walls, add the corresponding areas. Correct blank calculation avoids waste (disc too big) and incomplete parts (disc too small). Enter the cup diameter and height.
Punching Work
Calculate the work (energy) consumed in punching or sheet cutting, W = (k·F·t) ÷ 1000, from the penetration factor k (~0.3-0.6, the fraction of thickness the punch travels shearing before fracture), the cutting force F (N) and the sheet thickness t (mm); the result is in joules. While the cutting FORCE sets the press tonnage, the WORK sets the ENERGY the press must deliver in the stroke — a distinct and equally important parameter, especially in eccentric and friction presses that store energy in a flywheel. The factor k appears because the cut does not consume maximum force over the full thickness: the punch penetrates shearing, force rises to a peak, then drops as the material FRACTURES abruptly (the fracture propagates and separates the material before the punch crosses the whole thickness). So the work is only a fraction (k) of the maximum-force × thickness product. Knowing the work is essential to size the press flywheel and motor (which must replenish the energy between strokes) and to avoid heavy cuts 'stalling' the press from lack of stored energy. Enter the penetration factor, cutting force and thickness.
Blank Holder Force
Calculate the blank holder force in deep drawing, F_s = p·(π/4)·(D² − d²), from the blank holder specific pressure p (N/mm²), the blank diameter D (mm) and the punch diameter d (mm). In drawing, besides the punch forming the cup, there is a BLANK HOLDER pressing the disc rim (the annular area between blank and punch) against the die, with a controlled force. Its role is CRITICAL: to prevent WRINKLE formation on the rim. As it draws, the rim material flows inward and, reducing its perimeter, tends to wrinkle (like crumpled fabric), because it is under circumferential compression. The blank holder grips the rim with enough pressure to prevent wrinkles, but NOT so much as to stop the material from flowing (which would tear the bottom). It is a delicate balance: too little pressure → wrinkles; too much → rupture. The specific pressure p is typically a small fraction of the material strength (0.5-3 N/mm² for steels), and the total force is that pressure times the annular area where the holder acts. Computing this force is essential in drawing-tool design and press setup (which applies the holder via springs, pneumatic or hydraulic cushions). Enter the specific pressure and the blank and punch diameters.
Allowable Geosynthetic Strength
Calculate the allowable (design) tensile strength of a geosynthetic, T_adm = T_ult ÷ (RF_cr·RF_id·RF_cd), from the ultimate strength T_ult (kN/m, from a short-term tensile test) and the reduction factors for creep RF_cr, installation damage RF_id and chemical/biological degradation RF_cd. Geosynthetics (geotextiles, geogrids, geomembranes) used as soil REINFORCEMENT in walls, slopes and embankments on soft soils must work for decades, and their design strength is far below the lab value from quick tests. The reduction factors discount: CREEP (polymers under constant load deform and lose strength over time, RF_cr typically 2-5, the largest factor); INSTALLATION DAMAGE (compacting gravel fill over the geosynthetic causes abrasion and punctures, RF_id ~1.1-2); and chemical/biological DEGRADATION over the service life (RF_cd ~1.1-2). Their product can reduce the allowable strength to 20-40% of the ultimate. This is the basis of designing any reinforced-soil structure, and underestimating the reduction factors (overestimating strength) is a cause of reinforced wall and slope failures. Enter the ultimate strength and the three reduction factors.
Reinforcement Tension per Layer (Geogrid)
Calculate the required tensile tension in a geosynthetic reinforcement layer in a reinforced-soil wall or slope, T_req = K_a·γ·z·S_v, from the active earth pressure coefficient K_a, the soil unit weight γ (kN/m³), the layer depth z (m) and the vertical spacing between layers S_v (m). In a reinforced-soil wall (geogrid walls, mechanically stabilized earth, reinforced steep slopes), each geosynthetic layer must resist the horizontal force the soil, under active pressure, tends to push out over that height band. The required tension grows with DEPTH (z), since lateral pressure increases with the vertical soil stress above — so the lower layers of a reinforced wall are the most stressed and sometimes get stronger geosynthetics or smaller spacing. The vertical spacing S_v sets each layer's 'influence area' (closer layers → less force each). Comparing T_req with the geosynthetic's allowable strength (and checking pullout), the reinforcement is designed: type, strength, spacing and length of each layer. It is the central calculation in reinforced-soil wall and slope design. Enter the active earth pressure coefficient, unit weight, depth and vertical spacing.
Geogrid Anchorage Length
Calculate the anchorage length (embedment in the resistant zone) needed for a reinforcing geogrid, L_a = T ÷ (2·σ_v·tan φ·C_i), from the layer tensile force T (kN/m), the vertical stress σ_v (kPa) on the geogrid, the soil friction angle φ (degrees) and the soil-geogrid interaction coefficient C_i (~0.6-1.0). In a reinforced-soil wall or slope, each geosynthetic layer must be anchored beyond the potential failure surface, over a length enough for soil-reinforcement friction to mobilize the tensile force without the reinforcement being PULLED OUT. The factor 2 appears because the geogrid has friction on BOTH faces (top and bottom). The pullout resistance per unit length is friction (σ_v·tan φ) times the interaction coefficient C_i, which measures how well the geogrid 'interlocks' with the soil (geogrids, with their apertures, have high C_i since soil passes through the mesh and generates passive resistance, better than smooth geotextiles). The anchorage length adds to the length within the active zone (varying with height) to give each layer's TOTAL length. Insufficient anchorage leads to pullout and progressive wall collapse. Enter the tension, vertical stress, friction angle and interaction coefficient.
Geosynthetic Seam Strength
Calculate the strength of a geosynthetic seam (sewn or welded), T_seam = (E ÷ 100)·T_ult, from the seam efficiency E (% of base material strength) and the geosynthetic ultimate strength T_ult (kN/m). Geosynthetics come in limited-width rolls, and on large works (reinforced walls, embankments, geomembrane-lined ponds) must be SEAMED to cover the whole area — by sewing, thermal welding (geomembranes) or simple overlap. The seam is almost always the WEAKEST POINT of the system: a sewn seam has efficiency typically 50-80% of the base fabric strength (the needle punctures and weakens the material, and the thread can be the weak link), while well-made thermal welds in geomembranes can reach 80-100%. So in REINFORCEMENT geosynthetics, seams perpendicular to the main tension are avoided or reinforced, and in barrier geomembranes (landfills, ponds) welds are rigorously tested (dual-channel air pressure, vacuum, destructive tests), since a leak from a bad seam compromises the whole lining. Knowing the seam strength is essential for design and quality control. Enter the seam efficiency and the ultimate strength.
Geotextile Permittivity
Calculate a geotextile's permittivity, ψ = k_n ÷ t, from the cross-plane permeability k_n (m/s) and the geotextile thickness t (m); the result, in s⁻¹, is the permittivity. Permittivity characterizes the geotextile's ability to let water pass PERPENDICULAR to its plane (through the fabric), and is the key property in the FILTRATION and cross-plane DRAINAGE functions. It is defined as permittivity (not simply permeability) because a geotextile's thickness is small, variable and hard to measure precisely under load — so permeability is normalized by thickness, giving a property (ψ = k/t) measurable directly from flow per unit area and gradient, without knowing the thickness. In a geotextile filter (replacing the traditional graded sand filter in drains, behind retaining walls, under riprap), the geotextile must be permittive enough to let water pass freely (without damming and building pore pressure), but with pores small enough to RETAIN the soil particles (without clogging or letting soil escape — the retention criterion). The balance between permittivity and retention is the heart of geotextile filter design. Enter the cross-plane permeability and the thickness.
Geotextile Transmissivity
Calculate a geosynthetic's transmissivity, θ = k_p·t, from the in-plane permeability k_p (m/s) and the thickness t (m); the result, in m²/s, is the transmissivity. Transmissivity characterizes the geosynthetic's ability to convey water WITHIN its own plane (longitudinally, like a planar drain), and is the key property in the DRAINAGE function. While permittivity measures flow THROUGH the geotextile (perpendicular), transmissivity measures flow ALONG it (parallel). It is the fundamental property of drainage geocomposites and geonets — products with a 3D open core (geonet) between filtering geotextiles, used to drain water replacing gravel layers: drainage behind retaining walls, under landfills (leachate and gas collection), in roads, sports fields and gardens (subsurface drainage), and in foundations. Transmissivity depends strongly on confining PRESSURE (the more compressed, the less space for water to flow and the lower θ) and on gradient, so it is specified at the work's real load conditions. Times the gradient and width, it gives the drained flow. Enter the in-plane permeability and the thickness.
Geocomposite Drain Flow
Calculate the drainage flow of a drainage geocomposite, q = θ·i·b, from the transmissivity θ (m²/s), the hydraulic gradient i (dimensionless) and the drain width b (m). This is the practical application of transmissivity: it estimates how much water a drainage geocomposite (geonet between geotextiles, or drainage geotextile) can convey in its plane, to check whether it adequately replaces a gravel layer or conventional drain. The flow is the product of transmissivity (the drain's in-plane 'conductivity' at the work's confining pressure), the hydraulic gradient (the head-line slope driving the flow) and the drain width (the drainage front). It is Darcy's law applied to in-plane flow in the geosynthetic. This calculation is essential to size drainage systems with geocomposites: gas and liquid drainage in landfills and mining, drains behind walls and cutoffs, green-roof and buried-structure drainage, and road and railway drains. The flow the geocomposite provides is compared with the design flow (the water to drain, with a safety factor); if insufficient, a higher-transmissivity geocomposite is chosen or the width increased. Enter the transmissivity, hydraulic gradient and width.
Geosynthetic Tensile Stiffness
Calculate a geosynthetic's tensile stiffness (secant stiffness modulus), J = T ÷ ε, from the tensile force per unit width T (kN/m) and the corresponding strain ε (dimensionless, or ε/100 if in %); the result, in kN/m, is the stiffness. Unlike conventional materials, where stiffness is Young's modulus (stress/strain, in Pa), in geosynthetics the 'stress' is expressed per unit WIDTH (kN/m, since thickness is ill-defined and variable), so the stiffness J is also in kN/m. Tensile stiffness is fundamental in soil reinforcement design because geosynthetics only mobilize force when they DEFORM (stretch): the higher the stiffness J, the smaller the deformation needed to reach the required reinforcement force. This is crucial because reinforced-soil structures have ALLOWABLE deformation limits (a wall cannot bulge too much, an embankment cannot settle excessively) — so design is often controlled by stiffness (deformation) rather than strength (rupture). Modern reinforcement geosynthetics (polyester or HDPE geogrids) have high stiffness to limit deformations. Stiffness is measured in the wide-width tensile test, usually at a reference strain (2%, 5%). Enter the tensile force and the strain.
Number of Reinforcement Layers
Calculate the number of geosynthetic reinforcement layers needed in a reinforced-soil wall or slope, N = H ÷ S_v, from the structure height H (m) and the vertical spacing between layers S_v (m). In a reinforced-soil structure, the geosynthetic layers (geogrid or geotextile) are installed horizontally between compacted soil lifts at regular vertical intervals. The total number of layers is simply the height divided by the spacing. The vertical spacing S_v is a crucial design decision: SMALLER spacing (more layers) better distributes stresses, allows weaker geosynthetics and gives a more homogeneous, stable reinforced mass, but increases installation operations (slower and costlier). LARGER spacing (fewer layers) builds faster but needs stronger geosynthetics and may allow localized deformations between layers (face bulging). Typically S_v ranges 0.3-0.8 m, often adopting multiples of the soil compaction lift thickness (0.15-0.20 m). This calculation is essential for the quantity take-off (total geosynthetic area = N × each layer's area) and budgeting, and defines the construction sequence. Enter the structure height and the vertical spacing.
Gear Tooth Bending Stress (Lewis)
Calculate the bending stress at a gear tooth root by the Lewis equation, σ = F_t ÷ (b·m·Y), from the tangential force F_t (N), the tooth face width b (mm), the module m (mm) and the Lewis form factor Y (dimensionless, a function of tooth count). Lewis's 1892 equation was the first rational treatment of gear-tooth strength and is still the basis of BENDING design. It models the tooth as a cantilever beam fixed at the root: the tangential force transmitted between teeth (from the torque) creates a bending moment that tends to break the tooth at the root — the catastrophic failure where a tooth cracks and snaps. The form factor Y accounts for tooth geometry (gears with more teeth are 'fatter' at the root and stronger, higher Y). The computed stress is compared with the material's bending fatigue strength (with safety factors), since gears endure millions of cycles. The basic Lewis formula is then refined by the AGMA standard with stress-concentration, dynamic, load-distribution and surface-condition factors. It is one of the two fundamental gear design criteria (the other is contact stress). Enter the tangential force, face width, module and Lewis form factor.
Barth Dynamic Factor (Gear)
Calculate a gear's dynamic (velocity) factor by Barth's equation, K_v = (6.1 + v) ÷ 6.1, from the pitch-line velocity v (m/s). The dynamic factor amplifies the transmitted static load to account for the DYNAMIC EFFECTS of high-speed meshing: as teeth engage and disengage rapidly, profile imperfections, pitch errors, tooth deflections under load and inertia generate VIBRATIONS and impacts that raise the real tooth load above the nominal load from torque. The higher the pitch-line velocity, the greater these effects — so K_v grows with v. Barth's equation (with constant 6.1, in m/s) is one of several empirical dynamic-factor formulas, suited to reasonably accurate cut teeth; variants with different constants exist for cast (coarser) or ground (more precise) teeth. The dynamic design load is the nominal tangential load times K_v. In high-speed gears, controlling vibration (manufacturing accuracy, modified profiles, balancing) is essential to limit K_v and noise. It is a key factor in AGMA design. Enter the pitch-line velocity.
Gear Dynamic Load
Calculate the effective dynamic load on gear teeth, F_d = F_t·K_v, from the nominal tangential force F_t (N) and the dynamic factor K_v. The dynamic load is the REAL tangential force the teeth bear in operation, larger than the nominal force (simply torque over radius) because of the dynamic effects of meshing at speed. These effects — vibrations, contact impacts, tooth deflections under load and manufacturing errors — make the instantaneous tooth load fluctuate and peak above the average, especially at high pitch-line velocities. The dynamic factor K_v (from Barth or other formulas) quantifies this amplification. The dynamic load is then used in strength checks: in Lewis bending stress (risk of tooth breakage at the root) and Hertzian contact stress (risk of surface fatigue and pitting). Using the nominal load without amplifying by the dynamic factor would underestimate the demands and lead to undersized gears that fail prematurely by fatigue. It is an essential, classic step in gear design. Enter the nominal tangential force and the dynamic factor.
Gear Contact Stress (Hertz)
Calculate the Hertzian contact stress on gear tooth surfaces, σ_H = C_p·√(F_t ÷ (b·d·I)), from the elastic coefficient C_p (√MPa, a function of the pair's elastic moduli), the tangential force F_t (N), the face width b (mm), the pinion pitch diameter d (mm) and the geometry factor I (dimensionless). This is the basis of SURFACE FATIGUE (pitting) design — the second fundamental gear failure mode, distinct from bending breakage. When two teeth touch, the contact is practically a LINE, and even moderate loads create very high contact stresses (hundreds of MPa) in the tiny contact area, per Hertz theory. Under repeated cycles, these stresses cause sub-surface fatigue that flakes off small bits of material, forming craters (pitting) that progress, destroy the tooth profile, generate noise and vibration and lead to failure. The elastic coefficient C_p gathers the materials' elastic properties (steel-steel, steel-bronze, etc.), and the geometry factor I, the curvature and contact ratio. Contact stress is compared with the material's pitting resistance (which depends strongly on surface HARDNESS — so gears are often case-hardened). It is one of the two central AGMA criteria. Enter the elastic coefficient, tangential force, face width, diameter and geometry factor.
Gear Tooth Bending Safety Factor
Calculate the bending safety factor of a gear tooth, FS = σ_perm ÷ σ, from the material's allowable (permissible) bending stress σ_perm (MPa, the bending fatigue strength with its factors) and the acting bending stress σ (MPa, from Lewis/AGMA from the load). It is the final bending-design check: the material strength must exceed the demand with adequate margin. Gears run for millions to billions of cycles, so the allowable stress is the material's bending FATIGUE strength (at the design-life cycle count), adjusted by reliability, temperature and life factors. Required safety factors depend on criticality and uncertainty (typically 1.5-3 for bending). If FS is insufficient, the module is increased (bigger, stronger teeth), the face width, or a better material/heat treatment used. A tooth breaking by bending fatigue is a CATASTROPHIC, sudden failure (unlike pitting, which gives progressive signs), since the broken tooth comes loose and can damage the whole drive — so bending is designed with generous margins. With the pitting (contact) safety factor, it defines the gear's robustness. Enter the allowable stress and the acting stress.
Minimum Pinion Teeth
Calculate the minimum number of pinion teeth to avoid interference, z_min = 2 ÷ sin²(φ), from the pressure angle φ (degrees). Interference is a geometric problem occurring when gears with FEW teeth mesh: the pinion tooth flank (the part below the base circle, where the involute profile does not exist) collides with the larger gear's tooth tip, causing vibration, noise, rapid wear or jamming. To avoid it, the pinion needs a minimum tooth count depending on the pressure angle: LARGER pressure angles ('fatter' teeth at the root) allow pinions with FEWER teeth without interference. For the standard 20° pressure angle, the theoretical minimum is about 17-18 teeth; for 14.5° (old standard), about 32; for 25°, about 12. When a pinion with fewer than the minimum is needed (for a high gear ratio in little space), profile CORRECTION (profile shift, corrected teeth) or undercut (root relief) is used, avoiding interference at the cost of weakening the tooth. This calculation is fundamental in designing a gear pair's geometry. Enter the pressure angle.
Gear Base Diameter
Calculate the base circle diameter of an involute gear, d_b = d·cos(φ), from the pitch diameter d (mm) and the pressure angle φ (degrees). The base circle is the circle from which the INVOLUTE tooth profile is generated — the standard profile of modern gears. The involute is the curve traced by the tip of a string unwinding from a cylinder: that cylinder is exactly the base circle. The entire active tooth profile (the part that actually transmits force) is ABOVE the base circle; below it there is no involute profile. The base diameter is fundamental in gear geometry because it defines the involute profile and, with it, key properties: the LINE OF ACTION (the line tangent to both base circles of the mesh, along which tooth contact travels, always in the same direction — why involute gears transmit uniform motion), the base pitch and the contact ratio. The relation d_b = d·cos(φ) shows that the pressure angle is the angle between the line of action and the tangent to the pitch circles. It is an essential parameter in designing and manufacturing (generating) involute gears. Enter the pitch diameter and the pressure angle.
Tooth Thickness at Pitch Circle
Calculate the tooth thickness measured at the pitch circle of a standard gear, s = (π·m) ÷ 2, from the module m (mm). In a standard (uncorrected) gear, the circular pitch (the distance from one tooth to the next, along the pitch circle) is p = π·m, and it splits equally between the TOOTH (the solid part) and the SPACE (the gap between teeth): half each, hence s = π·m/2. This equality between tooth thickness and space width is what lets two standard gears of the same module mesh perfectly, with one's tooth fitting the other's space with proper clearance. Tooth thickness is a fundamental parameter: it sets the tooth STRENGTH (thicker teeth resist bending more) and the mesh backlash. In CORRECTED gears (with profile shift, used to avoid interference in small pinions, adjust center distance or balance pinion-gear strength), the pitch-circle tooth thickness DIFFERS from π·m/2 — it increases in a positively corrected pinion (strengthening it) and decreases in the gear. Measuring tooth thickness (by the chordal method, with a gear-tooth caliper, or over pins) is a classic gear quality-control check. Enter the module.
Gear Torque
Calculate the torque transmitted by a gear, T = (F_t·d) ÷ 2000, from the tangential force F_t (N) and the pitch diameter d (mm); the result is in N·m (the 2000 converts d/2 from mm to m). Torque is the moment the gear transmits about its axis, and the tangential force F_t acts at the pitch radius (d/2), creating that moment. This relation is the bridge between the POWER/torque side (what the shaft transmits) and the TOOTH-FORCE side (what sizes the strength): from shaft torque, the tooth tangential force (F_t = 2T/d) is obtained, which then feeds the bending (Lewis) and contact (Hertz) calculations. Conversely, given the tangential force, the torque is obtained. In a gear train, torque CHANGES at each stage by the gear ratio (a reduction that multiplies speed by 1/i multiplies torque by i, conserving power minus losses), while power stays roughly constant. So a reducer's last stage (low speed) transmits the HIGHEST torque and needs the most robust gears. Knowing the torque at each gear is essential to size teeth, shafts, keys and bearings. Enter the tangential force and the pitch diameter.
Bolt Preload
Calculate the recommended preload (initial clamping force) of a bolt, F_i = 0.75·A_t·S_p, from the bolt tensile stress area A_t (mm²) and the material proof strength S_p (MPa); the result is the tensile force installed in the bolt on tightening. Preload is perhaps the MOST important and most misunderstood concept in bolted joints: a well-designed bolt is tightened to be strongly TENSIONED (stretched), clamping the joined parts together. This clamping force keeps the joint tight and, counterintuitively, PROTECTS the bolt from fatigue. The 0.75·A_t·S_p value (75% of proof load) is the classic recommendation for NON-permanent (reusable) joints; permanent joints use 0.90·A_t·S_p. A HIGH preload is desirable because it: keeps the joint together under varying external load; prevents loosening from vibration; and, mainly, makes an external tensile load be absorbed mostly by DECOMPRESSION of the (stiff) parts rather than additional bolt stretch — so the bolt stress variation (which causes fatigue) is very small. That is why well-tightened bolts rarely fail by fatigue, and loose bolts fail. Enter the tensile area and the proof strength.
Bolt Tensile Stress Area (Metric)
Calculate the tensile stress area of a metric-thread bolt, A_t = (π/4)·(d − 0.9382·p)², from the nominal diameter d (mm) and the thread pitch p (mm). The tensile stress area is the EFFECTIVE cross-section resisting tension in a threaded bolt — and it is NOT the nominal-diameter area (the smooth cylinder) nor the root-diameter area (the thread bottom). Because of the helical thread geometry, tensile rupture occurs at an intermediate section, and tests showed it corresponds to an effective diameter equal to the average of the pitch and root diameters, leading to the formula with the 0.9382·p term (a geometric constant of the ISO metric thread, 60° triangular profile). The tensile area is the fundamental parameter for all bolt strength calculations: preload, tensile stress, proof load and ultimate strength are all found by multiplying A_t by the corresponding material stress. Using the wrong area (the larger nominal-diameter one) would overestimate strength and lead to undersized joints. Bolt tables list A_t for each diameter-pitch combination; this formula computes it for any metric thread. Enter the nominal diameter and the thread pitch.
Bolt Stiffness
Calculate a bolt's stiffness (spring constant), k_b = (A_t·E) ÷ L, from the tensile area A_t (mm²), the material elastic modulus E (MPa) and the grip length L (mm, the effective length under tension between head and nut). When tensioned by the preload, the bolt behaves as a very stiff SPRING: it stretches an amount proportional to the force (Hooke's law), and its stiffness is force per unit elongation. This stiffness is one of two essential ingredients of bolted-joint analysis — the other is the stiffness of the clamped PARTS (members). The ratio between these two stiffnesses (the joint stiffness constant C) determines how an external load splits between the bolt and the parts. Typically the parts (massive, with large effective compression area) are MUCH stiffer than the bolt (thin and long), which is the DESIRED situation: stiff parts absorb most of the external load, protecting the bolt from stress variation and fatigue. Long, thin bolts have low stiffness (good for sharing load), while short, thick bolts are stiff. Knowing k_b is the starting point of fatigue and joint-separation analysis. Enter the tensile area, elastic modulus and grip length.
Joint Stiffness Constant
Calculate a bolted joint's stiffness constant, C = k_b ÷ (k_b + k_m), from the bolt stiffness k_b (N/mm) and the members' (clamped parts) stiffness k_m (N/mm). The constant C (also called bolt load fraction) is the heart of bolted-joint analysis: it tells what FRACTION of an external tensile load is carried by the BOLT, the rest (1−C) being carried by decompression of the MEMBERS. The value of C reveals the elegant, protective behavior of a preloaded joint: since the (massive) members are usually much stiffer than the (thin) bolt, k_m >> k_b, so C is SMALL (typically 0.2-0.4). This means that when an external load P is applied, only a small portion C·P adds to the bolt tension — most of the load (1−C)·P is absorbed by RELIEF of the compression between the parts. That is why the bolt stress variation is small (good fatigue resistance) and why preload is so beneficial. The smaller C (stiff parts, flexible bolt), the better the bolt protection. The constant C appears in all subsequent formulas: bolt load, residual member force, separation load and fatigue safety factor. Enter the bolt stiffness and the members' stiffness.
Bolt Load under External Load
Calculate the total tensile force in the bolt when an external load is applied to the joint, F_b = F_i + C·P, from the preload F_i (N), the joint stiffness constant C and the external tensile load P (N). This is one of the most important — and most surprising to the uninitiated — relations of bolted joints: when you apply an external load P trying to 'separate' the parts, the bolt tension does NOT rise from F_i to F_i + P (as intuition suggests), but only to F_i + C·P, where C is typically 0.2-0.4. That is, the bolt only 'feels' a FRACTION of the external load! The reason: most of the external load (1−C)·P merely RELIEVES the compression between the parts (which were compressed by the preload), rather than stretching the bolt more. This is the genius of the preloaded joint — it 'hides' the external load from the bolt. So a well-tightened joint, under a CYCLIC external load (causing fatigue), exposes the bolt to a very small stress variation (proportional to C·ΔP, not ΔP), making it extremely fatigue-resistant. This formula holds while the joint does NOT separate (P below the separation load); above that, the bolt carries the whole load. Enter the preload, stiffness constant and external load.
Joint Separation Load
Calculate the external load that causes a bolted joint to separate (open), P_0 = F_i ÷ (1 − C), from the preload F_i (N) and the joint stiffness constant C. The separation load is the external tensile load at which the compression between the clamped parts fully vanishes — the point where the joint starts to OPEN. Below it, the parts stay compressed and the joint behaves 'smartly' (the bolt feels only C·P of the external load, with small stress variation); ABOVE it, the parts separate, and from then on ALL additional external load goes straight to the bolt (which then takes the whole load, with severe fatigue and failure risk). Joint separation is thus a condition the design must AVOID with margin: a safety factor against separation is applied (the separation load must be well above the maximum expected external load). The formula shows the separation load grows with preload (well-tightened joints separate later) — another reason to use high preloads. Separation also causes leaks (in sealed joints), loss of stiffness and loosening. Ensuring the joint never separates under service load is a fundamental bolted-joint design criterion. Enter the preload and the stiffness constant.
Bolt Shear Stress
Calculate the shear stress in transversely loaded bolts, τ = F ÷ (n·A), from the total shear force F (N), the number of bolts (or shear planes) n and each bolt's area A (mm²). Unlike tensioned joints (where the bolt is tightened and the load is axial), in SHEAR joints the bolts resist a transverse force tending to slide one part over another (as in steel structural connections, splice plates, flanges under lateral load). The force is distributed among the bolts and each works in shear — hence the stress is force divided by the number of bolts times the area. There can be SINGLE shear (one shear plane) or DOUBLE shear (two planes, when the bolt passes through three plates), doubling capacity. The area used depends on whether the shear plane passes through the threaded part (use the tensile area) or the smooth shank (nominal-diameter area). Shear stress is compared with the bolt material's shear strength (typically ~0.6 of tensile strength). In structures, bearing-type (bolt in shear/bearing) and slip-critical (preload friction transmits load without bolt shear) connections are distinguished — this formula covers shear resistance. Enter the shear force, the number of bolts and the area.
Bolt Tensile Stress
Calculate the tensile stress in a bolt, σ = F_b ÷ A_t, from the total bolt tensile force F_b (N) and the tensile stress area A_t (mm²). It is the basic strength check of a tensioned bolt: the acting stress (force over resisting area) must be below the material strength with a safety margin. The force F_b is the total load the bolt carries — in a preloaded joint, the preload plus the fraction of external load reaching the bolt (F_i + C·P). The resulting stress is compared with the proof strength S_p (the limit up to which the bolt can be loaded without permanent deformation — typically 85-90% of yield) or the ultimate strength, per the criterion. The bolt strength class (marked on the head: 8.8, 10.9, 12.9 metric; or SAE grades 2, 5, 8) sets these allowable stresses — a class 8.8 bolt has a proof strength of 580-600 MPa, a 12.9 reaches ~970 MPa. Verifying σ does not exceed the allowable, considering preload and service load, is essential: overloaded bolts yield (losing preload) or break. With the fatigue and separation checks, it defines the tensioned joint's safety. Enter the total bolt force and the tensile area.
Bolt Count for Shear
Calculate the number of bolts needed to resist a shear force, n = F ÷ (A·τ_adm), from the total shear force to transmit F (N), each bolt's area A (mm²) and the material's allowable shear stress τ_adm (MPa). In structural and mechanical connections loaded in shear (beam splices, truss connections, flanges under lateral load, splice plates), the force is distributed among several bolts, each working in shear. The number needed is the total force divided by one bolt's shear capacity (area × allowable stress). The result is rounded up, and in practice a quantity is adopted that also meets minimum bolt spacing, edge distance and connection symmetry criteria. This calculation is the basis of designing bolted connections in steel structures (where it competes with welding) and in machines: it sets how many bolts and of what diameter are needed. There are other checks in the same connection: plate BEARING (contact pressure on the hole wall, which can tear the plate before the bolt shears), edge tear-out and the plate's own net-section strength (minus the holes). But bolt shear is the starting point. Enter the shear force, each bolt's area and the allowable stress.
Slurry Mixture Density
Calculate the slurry (water-solids mixture) density in hydraulic transport, ρ_m = ρ_w + C_v·(ρ_s − ρ_w), from the solids volumetric concentration C_v (fraction), the solids density ρ_s (kg/m³) and the water density ρ_w (kg/m³). In hydraulic transport of solids — used in dredging (pumping sand, mud and gravel from river, port and sea beds), mining (ore slurries in pipelines) and waste handling — solids are mixed with water and pumped as a SLURRY. The mixture density is the volume-fraction-weighted average of the water and solids densities, and it is the most basic and important hydraulic-transport parameter: it governs pumping power (dense slurries need more energy), head losses, and it is what is MEASURED in the field (by nuclear density gauges on the pipe) to control the solids concentration being transported. The mixture density links the dredge or pipeline operation to production: the denser the slurry (more solids per volume), the higher the production, but the higher the clogging risk and required power. Finding the optimal density balance is central to efficient hydraulic transport. Enter the volumetric concentration, the solids density and the water density.
Slurry Volumetric Concentration
Calculate the solids volumetric concentration in a slurry, C_v = (ρ_m − ρ_w) ÷ (ρ_s − ρ_w), from the mixture density ρ_m, the solids density ρ_s and the water density ρ_w (kg/m³). Volumetric concentration is the fraction of total slurry volume occupied by solids — the fundamental hydraulic-transport parameter. It is the inverse of the mixture-density calculation: in practice the slurry density in the pipe is measured (with a nuclear gauge, measuring gamma-ray attenuation through the pipe) and, knowing the water and solid densities, the solids concentration being transported is computed in real time. Volumetric concentration defines a dredge's or pipeline's PRODUCTION (solids volume transported = flow × C_v), and it is the parameter the operator seeks to MAXIMIZE (more solids per pumped water = more production and less energy per tonne) without exceeding the limits that cause clogging or excessive wear. Typical dredging volumetric concentrations are 10-30%; in optimized pipelines, up to 40-50%. Concentration control is the heart of hydraulic-transport operation. Enter the mixture density, the solids density and the water density.
Slurry Mass Concentration
Calculate the solids mass (weight) concentration in a slurry, C_w = C_v·(ρ_s ÷ ρ_m)·100, from the volumetric concentration C_v (fraction), the solids density ρ_s and the mixture density ρ_m (kg/m³); the result is a percentage. Mass concentration is the fraction of the total slurry MASS that is solid (kg of solid per kg of slurry), different from volumetric concentration (volume fraction). Both measure the same thing differently, and their relation depends on the solids density: since solids are DENSER than water (sand ~2.65×), mass concentration is always GREATER than volumetric (a slurry with 20% solids by volume has about 40% by mass). Mass concentration (% solids by weight) is the form most used in the mineral industry and ore processing, since it relates directly to the tonnage of solids processed and is what is controlled in thickeners, mills and flotation. Converting between mass and volumetric concentration is a daily operation in processing-plant mass balance and pipeline and dredging control. Enter the volumetric concentration, the solids density and the mixture density.
Critical Deposition Velocity (Durand)
Calculate the critical deposition velocity in hydraulic solids transport by Durand's equation, V_c = F_L·√(2·g·D·(s − 1)), from the Durand factor F_L (dimensionless, a function of grain size and concentration), the pipe inner diameter D (m) and the solids relative density s = ρ_s/ρ_w. Critical velocity is the MOST important parameter in designing pipelines and dredge discharge lines: it is the MINIMUM flow velocity below which solids start to DEPOSIT on the pipe bottom, forming a bed that reduces the section, raises head loss and can lead to total CLOGGING of the line (a very costly, slow accident to clear). Above the critical velocity, turbulence keeps the particles suspended and moving. Operation must keep the velocity ALWAYS above critical (with safety margin), but not too far above, since excessive velocities waste pumping energy and cause accelerated abrasive wear of pipe and pumps. Determining the critical velocity sets the operating velocity, the pipe diameter and the pumping power. Durand's correlation (1953), with the tabulated F_L factor, is the classic basis of this calculation. Enter the Durand factor, the pipe diameter and the solids relative density.
Dredge Solids Production
Calculate the volumetric solids production of a dredge or pipeline, Q_s = Q·C_v, from the total slurry flow Q (m³/s) and the solids volumetric concentration C_v (fraction). Solids production is the volume of useful material (sand, sediment, ore) effectively transported per unit time — the direct measure of dredging or slurry-pumping PRODUCTIVITY, and what really matters commercially (a dredge is paid per cubic metre dredged, not per pumped water). It is the product of the total slurry flow and the solids fraction: increasing production means increasing the flow (bigger pumps, more power) OR increasing the solids concentration (excavating denser material, optimizing the suction). There is a fundamental trade-off: pumping very concentrated slurry raises production per cubic metre of slurry but raises mixture density, head loss and deposition/clogging risk. Solids production, integrated over time, gives the total dredged volume (for measurement and payment) and frames planning (how many hours/days to dredge a channel, fill a pit, move overburden). It is the key operational indicator. Enter the slurry flow and the volumetric concentration.
Solids Mass Flow (Dredge)
Calculate the mass flow of solids transported by a dredge or pipeline, ṁ_s = Q·C_v·ρ_s, from the total slurry flow Q (m³/s), the solids volumetric concentration C_v (fraction) and the solids density ρ_s (kg/m³). Solids mass flow is the MASS of useful material transported per unit time (kg/s, or tonnes per hour), the production indicator used when TONNAGE matters — the typical case of ore transport by pipeline (measured in t/h of dry ore) and mineral processing. It is the product of three factors: the slurry flow (pump capacity), the solids concentration (how 'loaded' the slurry is) and the solids density (iron ores, for example, are very dense, ~5000 kg/m³, so little volumetric concentration already gives high tonnage). Mass flow, integrated over time, gives the total transported tonnage, the basis of billing and operational mass balance. Optimizing it — maximizing tonnage per unit pumping energy — is the central goal of pipeline operation, which moves hundreds of millions of tonnes of ore per year over long distances far more energy-efficiently than trucks or trains. Enter the slurry flow, the volumetric concentration and the solids density.
Settling Velocity (Stokes)
Calculate the settling (terminal) velocity of a particle in laminar regime by Stokes' Law, v_s = g·d²·(ρ_s − ρ_w) ÷ (18·μ), from the particle diameter d (m), the solids ρ_s and water ρ_w densities (kg/m³) and the fluid dynamic viscosity μ (Pa·s). The settling velocity is the speed at which an isolated particle SINKS in a still fluid, when weight (minus buoyancy) balances drag. Stokes' Law (1851) holds for the LAMINAR regime (small particles, particle Reynolds < ~1) — fine sand, silt, clay — and has the remarkable property that velocity grows with the SQUARE of diameter: particles twice as large sink four times faster. This calculation is fundamental in many fields: particle settling and separation (settling tanks, thickeners, water and effluent clarifiers), grain-size classification by sedimentation (pipette or hydrometer test), sediment transport in rivers and reservoir deposition, and hydraulic transport (the particle settling velocity sets the critical deposition velocity in the pipe). For large particles (higher Reynolds), Stokes' Law fails and Newton's terminal velocity (turbulent regime) is used. Enter the particle diameter, the densities and the viscosity.
Particle Reynolds Number
Calculate the particle Reynolds number in settling, Re_p = (ρ_w·v_s·d) ÷ μ, from the fluid density ρ_w (kg/m³), the settling velocity v_s (m/s), the particle diameter d (m) and the dynamic viscosity μ (Pa·s). The particle Reynolds number characterizes the flow regime around a particle settling (or being transported) in a fluid, comparing inertial and viscous forces. Its value sets WHICH settling-velocity formula is valid: for Re_p < ~1, the flow around the particle is LAMINAR and Stokes' Law holds (drag proportional to velocity); for Re_p > ~1000, the flow is TURBULENT and Newton's law holds (drag proportional to velocity squared); in the intermediate range, transition correlations are used (such as Allen's or drag-coefficient expressions vs Re_p). So when computing a settling velocity by Stokes' Law, it is ESSENTIAL to verify afterwards that Re_p < 1 — if not, the Stokes result is wrong and the correct regime's formula must be used. The particle Reynolds number is thus the 'checker' that validates the settling calculation, and it is central in designing settling tanks, classifying particles and hydraulic solids transport. Enter the fluid density, the settling velocity, the particle diameter and the viscosity.
Settling Velocity (Newton)
Calculate the settling (terminal) velocity of a particle in turbulent regime by Newton's law, v_t = √(4·g·d·(s − 1) ÷ (3·C_d)), from the particle diameter d (m), the solids relative density s = ρ_s/ρ_w and the drag coefficient C_d (dimensionless, ≈ 0.44 for spheres in turbulent regime). While Stokes' Law holds for SMALL particles (laminar regime, particle Reynolds < 1), Newton's law holds for LARGE, dense particles — gravel, crushed stone, coarse sand — that sink fast, generating TURBULENT flow around them (particle Reynolds > ~1000). In this regime, drag is no longer proportional to velocity (Stokes) but to its SQUARE, and the terminal velocity grows with the SQUARE ROOT of diameter (not the square, as in Stokes) — large particles sink fast, but the size dependence is milder. The drag coefficient C_d ≈ 0.44 is roughly constant in this range (the 'Newton region' of the sphere drag curve). This calculation is fundamental in designing coarse-particle classifiers and separators, sizing settling basins for coarse solids, coarse-sediment transport and hydraulic transport of gravel and granular ore. For the intermediate range between Stokes and Newton, transition correlations are used. Enter the diameter, the relative density and the drag coefficient.
Edge Stress from Prestressing
Calculate the normal stress at an extreme fiber of a prestressed concrete section, σ = P/A + (P·e)/W, from the prestressing force P (MN), the section area A (m²), the tendon eccentricity e (m) and the section modulus W (m³). Prestressed concrete is one of the great structural engineering inventions of the 20th century: high-strength steel tendons are tensioned (prestressed) and anchored in the member, COMPRESSING the concrete before it even receives service loads. Since concrete is strong in compression but weak in tension, this pre-compression 'cancels' the tensions external loads would cause, allowing much longer spans and slenderer members than conventional reinforced concrete. The tendon is placed with ECCENTRICITY (below the centroid), so prestressing generates not only uniform compression (P/A) but also a moment (P·e) producing stresses opposite to the loading — compressing exactly the fiber that would tend to crack. This formula computes the resulting edge stress, summing axial compression and prestress bending; design verifies stresses stay within limits in all phases (at transfer, empty, and in service, loaded). Enter the prestressing force, area, eccentricity and section modulus.
Elastic Shortening Loss
Calculate the prestress loss from concrete elastic shortening, Δσ = (E_s/E_c)·σ_c, from the steel modulus E_s (MPa), the concrete modulus E_c (MPa) and the concrete stress at the tendon level σ_c (MPa). It is one of the IMMEDIATE prestress losses (at transfer, not over time): when the tendon is tensioned and anchored, it compresses the concrete, and the concrete, being compressed, SHORTENS elastically. Since the tendon is bonded or anchored in this shortened concrete, it shortens too — and shortening, it LOSES part of its tension. The loss is proportional to the modular ratio αe = E_s/E_c (typically 6-8, since steel is much stiffer than concrete) times the concrete compression stress at the tendon level. In members with SEVERAL tendons prestressed sequentially, each new tendon compresses and shortens the concrete, causing loss in already-anchored tendons — so the average loss is often taken as half the value (the first tendons lose more than the last). This is one of the losses to subtract from the initial force to get the effective prestressing force. Enter the steel and concrete moduli and the concrete stress.
Steel Relaxation Loss
Calculate the prestress loss from steel relaxation, Δσ = (ψ/100)·σ_pi, from the relaxation coefficient ψ (% of initial stress) and the initial tendon stress σ_pi (MPa). Relaxation is a STEEL phenomenon analogous to concrete creep: when a steel wire or strand is held under CONSTANT tension (fixed elongation, as in an anchored prestressing tendon), its stress DECREASES slowly over time, even without length change. It is as if the steel 'yields' microscopically under prolonged load, losing part of its tension. Relaxation depends on the steel type (LOW-relaxation steels — LR —, thermomechanically treated, relax much less, ~2.5% in 1000h at 0.7·fptk, than normal-relaxation — NR —, ~12%), the initial stress level (the higher, the more relaxation) and temperature. The coefficient ψ is tabulated as a function of these factors and time. Relaxation is one of the TIME-DEPENDENT prestress losses, along with concrete shrinkage and creep, and design sums them all for the total loss and the effective final prestressing force. Enter the relaxation coefficient and the initial tendon stress.
Concrete Shrinkage Loss
Calculate the prestress loss from concrete shrinkage, Δσ = ε_cs·E_s, from the shrinkage strain ε_cs (dimensionless) and the steel modulus E_s (MPa). Shrinkage is the volume reduction concrete undergoes over time as it LOSES water by evaporation (drying shrinkage) and through cement hydration reactions (autogenous shrinkage), independent of loading. When the concrete of a prestressed member shrinks (shortens), the bonded steel tendon shortens too — and shortening, it LOSES tension, exactly as in elastic-shortening loss, except here the shortening is from shrinkage and occurs SLOWLY over months and years. The loss is simply the shrinkage strain times the steel modulus (the stress that shortening 'steals' from the tendon). The shrinkage strain ε_cs is typically 0.0002-0.0005 (200-500 microstrains) and depends on ambient humidity (drier = more shrinkage), member dimensions (thin members shrink more, losing water faster), mix and time. It is one of the three time-dependent losses (with creep and relaxation) reducing prestress over the structure's life. Enter the shrinkage strain and the steel modulus.
Concrete Creep Loss
Calculate the prestress loss from concrete creep, Δσ = φ·(E_s/E_c)·σ_cg, from the creep coefficient φ (dimensionless), the modular ratio E_s/E_c and the concrete stress at the tendon level from permanent loads σ_cg (MPa). Creep is the SLOW, growing deformation concrete undergoes under CONSTANT load over time: besides the immediate elastic shortening when compressed, concrete keeps shortening gradually for months and years, reaching a total deformation 2-3 times the initial elastic one. In a prestressed member, the concrete is PERMANENTLY compressed by the prestress, so it creeps (shortens slowly), and the bonded tendon shortens with it, LOSING tension — the largest time-dependent loss in many cases. The loss is the creep coefficient φ (typically 1.5-3.5, a function of humidity, loading age, member dimensions) times the equivalent elastic loss (modular ratio × concrete stress). With shrinkage and relaxation, creep defines the total time-dependent prestress loss. Estimating these losses well is crucial: underestimating leaves the member with less prestress than intended (cracking risk); overestimating wastes steel. Enter the creep coefficient, the modular ratio and the concrete stress.
Prestress Friction Loss
Calculate the prestress force loss from friction along a curved tendon, ΔP = P_0·(1 − e^(−(μα + k·x))), from the jacking force P_0 (kN), the tendon-duct friction coefficient μ, the sum of tendon deviation angles α (radians), the wobble coefficient k (loss per metre, 1/m) and the tendon length x (m). In POST-TENSIONING (where the tendon is tensioned after the concrete hardens, sliding inside a duct embedded in the member), the force applied at the end by the jack does NOT arrive full at the other end: FRICTION between tendon and duct consumes part of it along the path. There are two effects: friction in the tendon CURVES (μα term — the more the tendon curves, the more it 'squeezes' the duct and the greater the friction, like a rope on a pulley — the capstan effect) and 'wobble' friction in straight runs (k·x term — from small undulations and duct misalignment). Friction loss makes the prestress force DECREASE progressively from the active end (jack) to the passive (dead anchorage), which is why long tendons are sometimes tensioned from BOTH ends. It is an immediate loss, computed tendon by tendon. Enter the jacking force, friction coefficient, sum of angles, wobble coefficient and length.
Final Prestressing Force
Calculate the final (effective) prestressing force after losses, P_∞ = P_0·(1 − losses/100), from the initial prestressing force P_0 (kN) and the total loss percentage (%). A member's prestressing force is NOT constant: it starts at an initial value (the jacking force) and DECREASES due to the various losses — immediate (elastic shortening, friction, anchorage set) and time-dependent (concrete shrinkage and creep, steel relaxation). The effective final force, after all losses stabilize (after years), is what actually acts in the structure in service and must ensure performance. Total losses typically sum 15-25% of the initial force in post-tensioned structures and can reach 20-30% in pretensioned ones. This simple calculation applies the total loss percentage to the initial force, giving the effective force — fundamental to check service stresses, cracking and member deflection. The designer works with TWO critical situations: maximum INITIAL force (right after transfer, member still unloaded — risk of excess compression or top-fiber tension) and minimum FINAL force (after all losses, member loaded — risk of decompression and cracking). Enter the initial force and the total loss percentage.
Kern Distance
Calculate the kern distance of a section, c = W/A, from the section modulus W (m³) and the section area A (m²). The kern is a central region of the cross-section with a remarkable property: if a COMPRESSION force (like prestress, or a column load) is applied WITHIN the kern, the whole section stays compressed (no fiber tensions); if the force leaves the kern, tensions appear on the opposite edge. The kern distance is the boundary: for a rectangular section, the kern is the famous 'middle third' (the force must fall in the central third of the height to avoid tension). The distance c = W/A defines how far the eccentricity can go while keeping the section fully compressed. This concept is central in three areas: in PRESTRESSING (the tendon eccentricity is chosen considering the kern, to control edge stresses in each loading phase), in FOUNDATIONS and COLUMNS (the load resultant must fall in the kern so the base does not 'lift off' the soil, avoiding tension — the middle-third rule for footings), and in gravity wall and dam stability. Knowing the kern is essential for tendon placement and stress checks in eccentrically compressed members. Enter the section modulus and the section area.
Initial Prestress Stress
Calculate the allowable initial stress in prestressing steel, σ_pi = coef·f_ptk, from the code coefficient (fraction of strength) and the steel characteristic tensile strength f_ptk (MPa). Prestressing steel is tensioned to a VERY HIGH stress — a significant fraction of its tensile strength — possible because these are HIGH-STRENGTH steels (strands with f_ptk of 1900 MPa, versus ~500 MPa for ordinary reinforcing steel). But there is a LIMIT to the initial stress, set by code for safety and to limit relaxation: typically the lesser of about 0.74·f_ptk and 0.82·f_pyk (yield strength) for low-relaxation steels in pretensioning, with slightly different values for post-tensioning and right after anchorage. Applying a high initial stress is DESIRABLE (more effective prestress, less steel needed), but the code limit prevents tensioning the steel too close to yield (which would reduce safety margin and greatly increase relaxation). This calculation gives the jacking stress to apply (before losses), the starting point of all prestress design. Enter the code coefficient and the steel characteristic strength.
Pile Bearing Capacity
Calculate a pile's ultimate bearing capacity, Q_ult = Q_p + Q_l, summing the point (tip) resistance Q_p (kN) and the side (skin friction) resistance Q_l (kN). The pile is the DEEP foundation element used when surface soil lacks capacity for the structure's loads — it transfers loads to deeper, stronger subsoil layers. This transfer occurs by TWO mechanisms acting at once: TIP resistance (the pile bears on a firm layer at its base, like a column, mobilizing the soil resistance under the tip) and SIDE resistance (friction and adhesion between the pile's lateral surface and surrounding soil, along its whole length). Their proportion defines the behavior: END-bearing piles (crossing soft soil to bear on rock or firm soil) work mainly by the tip; FLOATING or friction piles (driven in homogeneous soil, no firm layer) work mainly by side friction. The ultimate capacity, divided by a safety factor (typically 2), gives the design allowable load. Determining Q_p and Q_l — by theoretical formulas, SPT-based semi-empirical methods (Aoki-Velloso, Décourt-Quaresma) or load tests — is the central deep-foundation design calculation. Enter the tip resistance and the side resistance.
Pile Tip Resistance
Calculate a pile's tip resistance, Q_p = q_p·A_p, from the tip stress (bearing capacity) q_p (kPa) and the tip cross-sectional area A_p (m²). Tip resistance is the share of pile capacity from the BEARING of its base on a strong soil or rock layer — the pile acts as a column compressing the soil under its tip, mobilizing that soil's bearing capacity (like a shallow foundation, but at depth). The tip stress q_p is the soil's unit bearing capacity at the tip elevation, estimated by bearing-capacity theories (Terzaghi, Meyerhof, Vesic for piles), SPT correlations (q_p = K·N, with K depending on soil and pile type) or the CPT (cone) test. Times the tip area, it gives the force the tip supports. Tip resistance dominates in piles reaching a firm layer (end-bearing piles), and then the pile is very stiff (settles little). Large-diameter piles (caissons) have large tip areas and mobilize high tip resistance. This share adds to the side resistance for the total capacity. Enter the tip stress and the tip area.
Pile Skin Resistance
Calculate a pile's side (friction) resistance, Q_l = f_s·A_s, from the average unit skin friction f_s (kPa) and the pile lateral surface area A_s (m², = π·D·L for a cylindrical pile). Side resistance is the share of pile capacity from FRICTION and ADHESION between the pile's lateral surface and the surrounding soil, along its whole buried length. As the pile tends to settle under load, the soil 'grips' its sides and resists — as a nail driven in wood resists pulling by face friction. The unit skin friction f_s depends on soil type (in clays, on undrained cohesion via the α method; in sands, on effective stress and friction via the β method), pile type (driven piles mobilize more friction than bored, displacing and compacting the soil) and surface roughness. Side resistance dominates in FLOATING (friction) piles, driven in soils without a firm bearing layer — they hang by friction. It is also the share mobilized FIRST under load (with small settlement), before the tip. This share adds to the tip resistance for the total capacity. Enter the unit skin friction and the side area.
Unit Skin Friction (Beta Method)
Calculate a pile's unit skin friction in granular soil by the beta method, f_s = β·σ'_v, from the coefficient β (dimensionless) and the vertical effective stress σ'_v at the considered point (kPa). The β method (effective-stress method) is the modern, rational way to estimate pile skin friction in GRANULAR soils (sands) and in clays in effective-stress terms. It starts from the principle that side friction is like any interface friction: the friction stress is the NORMAL stress to the surface (the soil horizontal stress, K_s·σ'_v) times the tangent of the interface friction angle (tan δ). Grouping these two factors into a single coefficient β = K_s·tan δ, the unit friction is simply β·σ'_v. The coefficient β typically ranges 0.2-0.5 for sands (and more for driven piles, which raise K_s by displacing soil). The great advantage of the β method is using EFFECTIVE stress (growing with depth), capturing that friction increases with depth — though there is a limit (the 'critical depth', above which friction stops growing, a still-debated phenomenon). Integrating f_s·perimeter along the length gives the total side resistance. Enter the beta coefficient and the vertical effective stress.
Pile Allowable Load
Calculate a pile's allowable (working) load, Q_adm = Q_ult ÷ FS, from the ultimate bearing capacity Q_ult (kN) and the global safety factor FS. The allowable load is the maximum load that can be applied to the pile in service with adequate safety — obtained by dividing the ultimate capacity (the load that would cause FAILURE of the pile-soil system) by a safety factor covering uncertainties. The pile-foundation safety factor is typically HIGH (FS = 2.0-2.5 for ultimate capacity, higher if based only on theoretical formulas without a load test), reflecting the great uncertainty in determining soil capacity (unseen, heterogeneous and poorly known) and the severity of a foundation failure (which can collapse the whole structure). Codes often require different partial factors for tip and friction (which have different uncertainties), or limit-state methods. The allowable load sets how many piles are needed for the column loads: number of piles = column load ÷ allowable load. Load tests (measuring real field capacity) allow reducing the safety factor and optimizing design. Enter the ultimate capacity and the safety factor.
Pile Group Efficiency (Converse-Labarre)
Calculate a pile group's efficiency by the Converse-Labarre formula, η = 1 − (θ/90)·[(m−1)·n + (n−1)·m] ÷ (m·n), from the pile diameter D and spacing s (with θ = arctan(D/s), in degrees), and the number of piles per row m and per column n. When several piles are driven close together (forming a group under a cap), the group capacity is NOT simply the sum of individual capacities — there is INTERFERENCE between the stress bulbs of neighboring piles in the soil, which overlap. The efficiency η (less than 1) measures this loss: the CLOSER the piles (smaller spacing s relative to diameter D), the greater the overlap and the lower the efficiency. The Converse-Labarre formula, empirical and widely used, quantifies this reduction as a function of group geometry (pile count and spacing). So codes require a minimum pile spacing (typically 2.5-3 diameters) to limit efficiency loss. Efficiency times pile count times individual capacity gives the group capacity. This effect is more pronounced in friction piles in clay; in end-bearing piles in sand, the group may even have efficiency above 1 (driving densifies the sand). Enter the diameter, spacing and pile count per row and column.
Pile Group Capacity
Calculate a pile group's bearing capacity, Q_g = η·N·Q_pile, from the group efficiency η, the number of piles N and the single isolated pile capacity Q_pile (kN). A pile group's capacity (piles driven close under a cap that distributes the column load among them) is each pile's individual capacity, times the pile count, adjusted by the group EFFICIENCY (η ≤ 1, discounting the interference between neighbors, computed by Converse-Labarre or other formulas). In clayey soils and friction piles, efficiency is below 1 (piles 'compete' for the same soil, and the group may even fail as a solid block — 'block failure', checked separately). In sands and driven piles, driving densifies the soil and efficiency can approach or exceed 1. The group capacity is what actually supports the column load above the cap, and must exceed it with the proper safety factor. This calculation, with the group settlement check (which can exceed a single pile's, since the group stress bulb is deeper), defines the design of a pile-group foundation. Enter the efficiency, the pile count and the individual capacity.
Pile Capacity by Driving (Engineering News)
Estimate a driven pile's allowable load by the Engineering News Record dynamic driving formula, Q_adm = (W_r·h) ÷ (FS·(s + c)), from the hammer weight W_r (kN), the drop height h (m), the set s (permanent penetration per blow, m), a loss constant c (m, ≈ 0.0025 m for drop hammers) and the safety factor FS (≈ 6 in this formula). DYNAMIC driving formulas estimate a pile's capacity from observing how much it PENETRATES per hammer blow during driving — the principle is intuitive: the HARDER to drive (smaller penetration per blow, the 'set'), the GREATER the soil resistance and thus the pile capacity. The blow energy (weight × drop height) is equated to the penetration work (resistance × displacement), with losses. The 'set' (s) is measured in the field during driving (average penetration of the last blows), making these formulas a valuable, cheap EXECUTION CONTROL — driving continues until the set reaches the value matching the desired capacity. The Engineering News formula is the most classic (and conservative, with FS = 6). Modern high-strain dynamic monitoring (PDA, with CAPWAP analysis) replaces these empirical formulas far more accurately, but the set is still used daily on site. Enter the hammer weight, drop height, set, constant and safety factor.
Pile Structural Stress
Calculate the structural compression stress in a pile shaft, σ = Q ÷ (π·D²/4), from the applied load Q (kN) and the pile diameter D (m); the result is in MPa. Besides the SOIL having capacity to support the pile (geotechnical capacity), the pile itself, as a STRUCTURAL element (concrete, steel or timber), must resist the load without failing or deforming excessively — this is the pile's STRUCTURAL check. The shaft compression stress is simply the load over the cross-sectional area. It must be below the pile material's allowable stress: codes limit cast-in-place pile concrete working stress to conservative values (typically 5-8 MPa, less than the concrete strength, due to subsurface execution uncertainties — blind concreting, possible defects, eccentricities). This check often GOVERNS the minimum pile diameter (the pile may have ample geotechnical capacity, but structural stress limits the load). Pile design is always the SMALLER of geotechnical (soil) and structural (material) capacity — both must be checked. Enter the applied load and the pile diameter.
Disc Clutch Torque
Calculate the torque transmissible by a disc clutch (or brake), T = μ·F·N·r_m, from the friction coefficient μ, the axial clamping force F (N), the number of friction surfaces N and the mean friction radius r_m (m). A disc clutch transmits torque between two shafts by FRICTION between surfaces pressed together: an axial force F clamps the discs, and the friction at that interface, acting at the mean radius, generates the torque. The number of friction surfaces N multiplies the capacity — a single disc clutch has N=1 (one face) or N=2 (disc between two faces); MULTI-PLATE clutches (motorcycles, automatic transmissions) stack several discs with high N, transmitting large torque in compact space. The same principle applies to disc and clutch BRAKES: the braking (or transmitting) torque is μ·F·N·r_m. This is central in clutch and brake design: it sets the actuation force (pedal, spring, hydraulic actuator) needed to transmit/brake a given torque, and the area and number of discs. The design torque includes a service factor (1.2-3) over the nominal, to cover peaks and wear. Enter the friction coefficient, axial force, number of surfaces and mean radius.
Mean Friction Radius (Clutch)
Calculate the mean friction radius of a disc clutch or brake by uniform-wear theory, r_m = (D + d) ÷ 4, from the outer D and inner d diameters (m) of the friction annulus. The mean radius is the EFFECTIVE radius at which the resultant friction force is taken to act for torque calculation (T = μ·F·N·r_m). There are two classic assumptions for this radius: UNIFORM WEAR (assuming the disc has 'bedded in' and wears evenly, concentrating pressure at the inner radius; gives r_m = (D+d)/4, the simple mean of radii) and UNIFORM PRESSURE (new disc, constant pressure; gives r_m = (2/3)·(D³−d³)/(D²−d²), slightly larger). Uniform wear is most used in DESIGN, being conservative (slightly lower torque) and representing the run-in steady state. The mean radius shows an interesting design point: discs with a narrow friction annulus (D close to d, thin ring at large radius) have a high mean radius, transmitting more torque per unit force — so high-performance disc brakes use calipers acting near the disc edge (large radius). Enter the outer and inner diameters.
Clutch Axial Force (Uniform Pressure)
Calculate the axial clamping force of a disc clutch or brake by the uniform-pressure assumption, F = p·(π/4)·(D² − d²), from the contact pressure p (Pa) and the outer D and inner d diameters (m) of the friction annulus. The axial force clamps the discs together (applied by springs in normally-engaged clutches, or by a hydraulic/pneumatic actuator). By the UNIFORM-PRESSURE assumption (valid for new discs, before wear), the force is simply the average contact pressure times the AREA of the friction annulus (the ring between outer and inner diameters). This force is the clutch/brake actuation parameter: it determines the transmissible torque (with friction and mean radius) and must be limited so the contact pressure does not exceed the friction material's allowable (which has a limit, above which it degrades, loses friction by overheating — fading — or wears fast). Design balances: enough axial force for the needed torque, but pressure within the material limit (setting the minimum area and disc count). Enter the contact pressure and the outer and inner diameters.
Clutch Max Pressure (Uniform Wear)
Calculate the maximum contact pressure in a disc clutch or brake by the uniform-wear assumption, p_max = 2·F ÷ (π·d·(D − d)), from the axial force F (N) and the outer D and inner d diameters (m); the result is in kPa. Under UNIFORM WEAR (the steady state, after disc run-in), pressure is NOT constant over the friction annulus: it is INVERSELY proportional to radius (highest at the inner radius, lowest at the outer), because wear — proportional to pressure × velocity — only becomes uniform if pressure falls with radius (since velocity grows with radius). So the MAXIMUM pressure occurs at the INNER radius (at diameter d), and that peak limits the design. The maximum pressure must be below the friction material's allowable (linings, pads, ceramic or sintered metallic materials — each with its limit, typically hundreds of kPa to a few MPa). Exceeding the allowable leads to accelerated wear, overheating and friction loss (fading). This calculation checks whether a clutch/brake, under the planned actuation force, operates within its material's pressure limit — an essential durability and safety check. Enter the axial force and the outer and inner diameters.
Braking Energy
Calculate the energy dissipated in braking, E = ½·m·(v₁² − v₂²), from the mass m (kg), the initial velocity v₁ and the final velocity v₂ (m/s). When a vehicle or machine brakes, its KINETIC energy is converted — by brake friction — into HEAT. The dissipated energy is the kinetic-energy change: braking to a stop (v₂ = 0) dissipates all the initial kinetic energy; partial braking, the difference. This heat must be ABSORBED and DISSIPATED by the brake without overheating beyond the limit (above which the friction material loses effectiveness — fading — and may even burn or glaze). That is why brakes for heavy vehicles, long descents (mountain trucks) and severe duty need large thermal capacity (big, vented discs, or auxiliary brakes like engine braking and retarders, dissipating energy by other means without overloading the service brakes). Braking energy grows with the SQUARE of velocity: braking from 100 km/h dissipates FOUR times more energy than from 50 km/h — so high-speed braking is so much more demanding. This is the basis of brake thermal design and overheating checks in repeated or prolonged braking. Enter the mass and the initial and final velocities.
Brake Power Dissipated
Calculate the power dissipated by a brake under torque, P = T·(2π·n/60), from the braking torque T (N·m) and the rotation n (rpm). Dissipated power is the rate at which the brake converts mechanical energy to heat — the product of braking torque and angular velocity. It differs from total braking ENERGY: energy is the total heat generated (joules), while power is the INTENSITY of that heat generation (watts), and it determines the brake's steady-state temperature. A brake dissipating much energy but slowly (low power) heats little; one dissipating the same energy fast (high power) heats much more. Dissipated power is critical in brakes working CONTINUOUSLY or repetitively: retention brakes on long descents, industrial equipment brakes (hoists, cranes, conveyors holding load), and dynamometers (which measure engine power precisely by dissipating it in a brake). There, the steady-state dissipated power sets the COOLING capacity needed (ventilation, water cooling) to keep temperature stable. Equating dissipated power to cooling capacity gives the equilibrium temperature. Enter the braking torque and the rotation.
Rotational Braking Time
Calculate the time to brake (stop) a rotating system, t = (I·ω) ÷ T, from the moment of inertia I (kg·m²), the initial angular velocity ω (rad/s) and the braking torque T (N·m). When a brake applies a constant torque to a spinning system (a shaft, flywheel, machine rotor), it DECELERATES it to a stop. By Newton's second law for rotation (T = I·α, with α the angular deceleration), the stopping time is the initial angular momentum (I·ω) divided by the braking torque. This matters in several situations: EMERGENCY STOPPING of machines (safety codes require dangerous parts to stop within a maximum time after brake actuation — the shorter, the safer), sizing motor and shaft brakes, and clutches (the engagement time, where the clutch 'synchronizes' two shafts' speeds, follows the same physics). Systems with large moment of inertia (heavy flywheels, big rotors) take longer to stop with a given torque — so high-inertia machines need powerful brakes or more stopping time. The braking time, with the dissipated energy and power, completes a braking analysis. Enter the moment of inertia, the angular velocity and the braking torque.
Shoe Brake Torque
Calculate the braking torque of a simple shoe (or drum) brake, T = μ·F·r, from the friction coefficient μ, the normal force applied by the shoe F (N) and the drum radius r (m). The shoe brake presses a friction-lined shoe against the surface of a rotating drum (or cylinder); the friction between shoe and drum generates a tangential force (μ·F) which, acting at the drum radius, produces the braking torque. It is the principle of vehicle drum brakes, hoist and industrial drum brakes, and rotating-machine brakes. The torque is simply the friction force times the radius. An important effect in shoe brakes is SELF-ENERGIZING: depending on the shoe pivot geometry, friction itself can HELP press the shoe against the drum (leading shoe), raising the effective force and torque for a given actuation force — or HINDER it (trailing shoe). This amplifies braking (an advantage) but makes it sensitive to the friction coefficient (which varies with temperature and moisture), possibly causing unstable behavior. This basic formula gives the torque without the self-energizing factor, considered separately per geometry. Enter the friction coefficient, the normal force and the drum radius.
Brake Contact Pressure
Calculate the contact pressure between the shoe/pad and the drum/disc of a brake, p = F ÷ A, from the normal force F (N) and the friction material contact area A (m²); the result is in kPa. Contact pressure is the normal force distributed over the friction surface area, and one of the most important parameters in a brake's or clutch's DURABILITY and PERFORMANCE. It must be below the friction material's ALLOWABLE pressure (linings, organic, semi-metallic, ceramic or sintered metallic pads — each with its limit). Pressures ABOVE the allowable lead to accelerated wear, overheating and friction loss (fading), reducing material life and impairing braking. Very LOW pressures underuse the material (a bigger, costlier brake than needed). Contact pressure also relates to the p·v product (pressure × velocity), the key indicator of the friction contact's thermal intensity — friction materials have a p·v limit above which they overheat, and that limit often governs design. This simple check — comparing contact pressure with the material's allowable — is essential in brake and clutch design and in choosing the right friction material for the application. Enter the normal force and the contact area.
Equivalent Dynamic Load (Bearing)
Calculate a bearing's equivalent dynamic load under combined loading, P = X·F_r + Y·F_a, from the radial load F_r (N), the axial load F_a (N) and the factors X and Y (dimensionless, tabulated by the maker per bearing type and the F_a/F_r ratio). Most bearings actually carry RADIAL (perpendicular to shaft) and AXIAL (along shaft) loads at once, but catalog life and capacity formulas are defined for an equivalent pure radial load. The equivalent dynamic load is that fictitious radial load that would give the SAME bearing life as the real load combination. The X and Y factors depend on the bearing type (deep-groove ball, angular contact, self-aligning, tapered roller) and the axial-to-radial ratio — for mainly radial loads, X≈1 and Y≈0 (axial negligible); when axial grows past a limit (the e factor), Y starts to contribute. Computing P correctly is the first step in any bearing design, since P enters the life formula L10 = (C/P)^p and the capacity check. Wrong factors (or ignoring axial load) give an incorrect life estimate. Enter the radial load, axial load and the X and Y factors.
L10 Life in Hours (Bearing)
Calculate a bearing's nominal L10 life in HOURS of operation, L10h = (10⁶ ÷ (60·n))·(C/P)^p, from the dynamic load rating C (N), the equivalent dynamic load P (N), the rotation n (rpm) and the exponent p (3 for ball bearings, 10/3 for roller bearings). L10 life is the core of bearing selection: the number of revolutions (or hours) that 90% of a batch of identical bearings reaches or exceeds before FATIGUE failure (spalling of races and rolling elements) — i.e., only 10% fail earlier (hence 'L10', the life with 90% reliability). The basic formula L10 = (C/P)^p gives life in MILLIONS of revolutions; dividing by the rotation (rpm × 60 min/h) converts to hours, the practical unit for machines. The result shows the huge load sensitivity: since the exponent is 3 (balls), DOUBLING the load cuts life to 1/8! So a slightly overloaded bearing lasts far less. The capacity C is tabulated in each bearing's catalog. This calculation decides whether a bearing meets the application's required life (typically 20,000-100,000 h for industrial machines) or whether a larger one is needed. Enter the dynamic capacity, the equivalent load, the rotation and the exponent.
Required Dynamic Capacity (Bearing)
Calculate the dynamic load rating C a bearing needs to reach a desired life, C = P·(L10)^(1/p), from the equivalent dynamic load P (N), the desired nominal life L10 (in millions of revolutions) and the exponent p (3 for balls, 10/3 for rollers). It is the INVERSE of the life calculation, and how bearing SELECTION is done in practice: the designer knows the load the bearing will carry (P) and the life it must reach (L10, derived from required operating hours and rotation), and computes the minimum needed dynamic capacity C. Then a bearing is chosen from the maker's catalog whose tabulated C is EQUAL OR GREATER than the required — and that fits the available dimensions (shaft and housing diameter). The dynamic capacity C is, by definition, the load giving an L10 life of exactly 1 million revolutions, and it is each bearing's 'rating' in the catalog. This calculation is the heart of sizing: it translates the application requirement (load and life) into the component spec (capacity), letting you pick the right bearing — neither undersized (early failure) nor oversized (needless cost and space). Enter the equivalent load, the desired life and the exponent.
Equivalent Static Load (Bearing)
Calculate a bearing's equivalent static load, P_0 = X_0·F_r + Y_0·F_a, from the radial load F_r (N), the axial load F_a (N) and the static factors X_0 and Y_0 (tabulated by the maker). Unlike the equivalent dynamic load (related to FATIGUE under rotation), the equivalent static load is used to check the bearing under loads with the bearing STOPPED or turning very slowly, or under PEAK loads (shocks, momentary overloads). The risk here is not fatigue but PERMANENT DEFORMATION (indentation) of the races by the rolling elements: an excessive static load 'dents' permanent marks (brinelling) into the races, which then cause noise, vibration and early failure when the bearing turns again. The equivalent static load is the pure radial load that would cause the same maximum permanent deformation (at the most-loaded contact) as the real radial-axial combination. It is compared with the bearing's static load rating C0 (also tabulated) via the static safety factor s0 = C0/P0. This check is especially important in bearings carrying loads with the machine stopped (shafts of equipment parked under load) or subject to shocks. Enter the radial load, axial load and the static factors X0 and Y0.
Static Safety Factor (Bearing)
Calculate a bearing's static safety factor, s_0 = C_0 ÷ P_0, from the static load rating C_0 (N, tabulated by the maker) and the equivalent static load P_0 (N). The static safety factor compares the bearing's ability to resist PERMANENT DEFORMATION (race indentation) with the equivalent static load it actually carries. The static rating C_0 is, by definition, the load causing a total permanent deformation of 0.0001 of the rolling-element diameter at the most-loaded contact — a small value, taken as the acceptable limit (above it, the marks cause noise and vibration when turning). The factor s_0 shows the margin: codes and makers recommend MINIMUM s_0 values per application and smoothness requirements — typically s_0 ≥ 1-1.5 for normal, quiet operation, possibly lower (0.5-1) for low-speed, undemanding applications, and higher (≥2-3) for heavy shocks or high precision. This check is COMPLEMENTARY to the life (fatigue) check: a bearing may have ample L10 life but fail by static deformation under a peak overload if s_0 is insufficient. Both checks — dynamic (life) and static (s_0) — must be met. Enter the static rating and the equivalent static load.
Reliability-Adjusted Life (Bearing)
Calculate a bearing's adjusted life for a reliability other than 90%, L_na = a_1·L10, from the reliability factor a_1 (dimensionless) and the nominal life L10 (in millions of revolutions). The standard L10 life corresponds to 90% reliability (10% failures). But many CRITICAL applications — where a bearing failure is unacceptable (turbines, aerospace, medical equipment, continuous-process machines) — require HIGHER reliabilities (95%, 99%, 99.9%). Since demanding higher reliability means accepting FEWER failures, the corresponding life is SHORTER: a_1 is below 1 for reliabilities above 90%. Typical values: a_1 = 1.0 for 90% (L10), 0.64 for 95% (L5), 0.21 for 99% (L1), 0.093 for 99.9% (L0.1). For example, to ensure 99% of bearings survive (instead of 90%), the design life drops to about 21% of L10. This is one of the 'modified life' corrections in the standards (ISO 281), which also include factors for material and lubricant quality and contamination (the more sophisticated a_ISO factor). Adjusting life for required reliability is essential in critical designs: simply using L10 (90%) would be too risky for a turbine, and too conservative for a household fan. Enter the reliability factor and the L10 life.
Bearing Speed Factor
Calculate a bearing's speed factor, A = n·d_m, from the rotation n (rpm) and the bearing mean diameter d_m (mm, = (D + d)/2, the average of outer and inner diameters). The n·d_m factor (often in mm·rpm, or m/min times the perimeter) is the key indicator of a bearing's SPEED DUTY, and governs several application limits. It sets the operating LIMIT SPEED: each bearing (and each lubrication type) has a maximum n·d_m above which friction heating, centrifugal force on the rolling elements and dynamic effects make operation unfeasible — grease lubrication tolerates lower values, oil higher, and special systems (oil jet, mist) the highest (high-speed bearings, like turbine and machine-tool spindle bearings, reach n·d_m in the millions). The speed factor also influences the bearing type choice (balls take more speed than rollers), the lubricant and the internal clearance (fast bearings may need larger clearance to accommodate thermal expansion). Comparing the application's n·d_m with the bearing limit is an essential check in medium- and high-speed rotating machines. Enter the rotation and the mean diameter.
Cubic Mean Load (Bearing)
Calculate the equivalent mean load of a bearing under a cycle with two different loads, P_m = ∛(P₁³·U₁ + P₂³·U₂), from the loads P₁ and P₂ (N) and the time (or revolution) fractions during which they act U₁ and U₂ (with U₁ + U₂ = 1). Many bearings do not work under CONSTANT load: the load varies over the operating cycle (a press loading and unloading, a motor accelerating and decelerating, a machine with different work phases). To compute life in this case, the variable cycle is replaced by an equivalent CONSTANT load causing the same fatigue damage — the mean load. But the mean is NOT arithmetic: since fatigue damage is proportional to load CUBED (the life exponent p=3), the mean load is a time-fraction-weighted mean, but with the loads cubed (then cube-rooted) — the so-called cubic mean or 'fatigue-weighted mean'. This makes HIGH loads weigh disproportionately more (a double load causes 8× more damage), so even a small fraction of time at high load dominates the result. This formula (here for two load levels; it generalizes to several) is essential to size bearings in variable-load machines, avoiding underestimating the damage. Enter the two loads and their time fractions.
Load-Life Ratio (Bearing)
Calculate how a bearing's life changes when the load changes, L₂ = L₁·(P₁/P₂)^p, from the initial life L₁ (under load P₁), the loads P₁ and P₂ (N) and the exponent p (3 for balls, 10/3 for rollers). This relation expresses the essence of bearing life law: life is INVERSELY proportional to load raised to the exponent p. It lets you quickly answer, without recomputing everything, 'if I change the load, what happens to the life?'. And the answer is dramatic due to the high exponent: REDUCING the load by 20% (P₂ = 0.8·P₁) INCREASES life by (1/0.8)³ = nearly DOUBLE; INCREASING the load by 26% (P₂ = 1.26·P₁) halves the life; DOUBLING the load cuts life to 1/8. This extreme load sensitivity has important practical consequences: small overloads (from misalignment, imbalance, wrong mounting or inadequate clearance, which concentrate load) drastically cut the real life versus the calculated one — explaining why many bearings fail 'too early'. Conversely, reducing parasitic loads (better alignment, balancing) greatly extends life. This formula is a valuable tool for sensitivity analysis and failure diagnosis. Enter the initial life, the two loads and the exponent.
Belt Transmitted Power
Calculate the power transmitted by a belt, P = (T₁ − T₂)·v, from the tight-side tension T₁ (N), the slack-side tension T₂ (N) and the belt velocity v (m/s). In a belt drive, the driving pulley drags the belt by friction, creating a DIFFERENCE in tension between the two sides: the side that 'pulls' (tight side, T₁) is more tensioned than the side that 'follows' (slack side, T₂). This difference (T₁ − T₂), the effective tension or tangential force, is the net force that actually transmits motion; times the belt velocity, it gives the transmitted POWER. The larger the tension difference the belt can sustain without slipping (depending on friction, wrap angle and, in V-belts, the wedging effect of the pulley walls), the greater the transmissible power. Power also grows with belt velocity — so high-power drives use large pulleys and fast belts (up to a limit, since centrifugal tension reduces available friction at very high speeds). This is central in belt-drive design, present in almost every rotating machine: motors, fans, pumps, compressors, machine tools and vehicles. Enter the tight- and slack-side tensions and the belt velocity.
Belt Span Natural Frequency
Calculate the natural vibration frequency of a belt's free span, f_n = (1 ÷ (2·L))·√(T/m), from the free span length L (m, the distance between pulleys), the belt tension T (N) and the mass per unit length m (kg/m). A belt's free span, between two pulleys, behaves like a stretched STRING (like a guitar string): when disturbed, it vibrates at a natural frequency depending on its tension and mass. The HIGHER the tension, the HIGHER the frequency (tighter string, higher pitch); the higher the mass per metre, the lower the frequency. This relation is the basis of a clever, widely used method to MEASURE belt tension in the field: the SONIC (or frequency) tension meter — the technician 'plucks' the belt to make it vibrate, and a sensor (or phone app) measures the sound frequency; knowing the span length and belt mass, the tension is computed back (inverting the formula). It is far more practical and accurate than the old methods of measuring deflection under a force. Keeping the correct tension is essential: a slack belt slips (loses power, heats, wears) and an over-tight belt overloads the bearings and shortens belt life. Enter the span length, the tension and the mass per unit length.
Belt Wrap Angle
Calculate a belt's wrap (contact) angle on the smaller pulley, θ = π − 2·arcsin((D − d) ÷ (2·C)), from the larger D and smaller d pulley diameters (m) and the center distance C (m). The wrap angle is the angle of the arc over which the belt actually WRAPS the pulley, in contact with it — and it is a critical parameter, since it is along that arc that the friction (transmitting the force) acts. The LARGER the wrap angle, the greater the contact area and the greater the force the belt can transmit without slipping. In a drive between two DIFFERENT-DIAMETER pulleys, the belt wraps LESS around the smaller pulley (angle below 180°) and MORE around the larger — and slipping always starts on the pulley with LESS wrap (the smaller), which therefore limits capacity. The wrap angle decreases when the diameter difference grows or the center distance shrinks (close, very different pulleys 'wrap' little). So drives with large reduction (very different pulleys) or close centers have reduced capacity, and sometimes use an IDLER (tensioner) pulley to increase wrap. The wrap angle enters directly into the tension ratio (e^(μθ)) and the belt-count correction factors. Enter the pulley diameters and the center distance.
V-Belt Tension Ratio
Calculate the maximum tension ratio of a V-belt at the slip limit, T₁/T₂ = e^(μ·θ ÷ sin β), from the friction coefficient μ, the wrap angle θ (radians) and the pulley groove half-angle β (degrees). This is the Euler-Eytelwein (capstan) equation with the V-belt correction. In a FLAT belt, the limit tension ratio is e^(μθ); but the V-belt has a clever advantage: it fits into a V-shaped GROOVE in the pulley, and when tensioned, is pulled INTO the groove, wedging against the two inclined walls. This WEDGE effect multiplies the normal force (and thus the friction) by a factor 1/sin β — since β is small (typically 17-19°, for a 34-38° groove), sin β is small and the EFFECTIVE friction (μ/sin β) is about 3 times the real friction! That is why V-belts transmit much more power than flat belts of the same size, with lower installation tension (sparing the bearings) and less slip — the reason for their huge popularity in industrial and automotive drives. The limit T₁/T₂ ratio sets the maximum effective tension (and thus power) the belt transmits before slipping. Enter the friction coefficient, the wrap angle and the groove half-angle.
Belt Centrifugal Tension
Calculate the centrifugal tension in a belt, T_c = m·v², from the mass per unit length m (kg/m) and the belt velocity v (m/s). When the belt wraps a pulley at high speed, its own mass, making the turn, generates a CENTRIFUGAL force tending to 'throw' the belt outward, LIFTING it off the pulley. This creates an additional tension throughout the belt (the centrifugal tension), the same at all points and not contributing to power transmission — it only 'steals' part of the belt's gripping capacity against the pulley. Centrifugal tension grows with the SQUARE of velocity, so it is negligible at low speeds but becomes important in fast belts. The effect is harmful: by lifting the belt off the pulley, centrifugal tension REDUCES the normal contact force and thus the friction available to transmit power — there is an OPTIMAL velocity above which increasing speed reduces transmissible power (the belt starts to 'float'). So belt speed has a practical limit (typically 25-30 m/s for conventional V-belts, more for special belts). Centrifugal tension must be added to the tensions to get the total tight- and slack-side tensions. Enter the mass per unit length and the velocity.
Number of V-Belts
Calculate the number of V-belts needed in a drive, N = P_design ÷ P_belt, from the design power P_design (the power to transmit times the service factor, kW) and the power each individual belt can transmit P_belt (kW, corrected by the wrap-angle and length factors). When a single V-belt lacks capacity to transmit the needed power, SEVERAL belts are used in parallel, running in parallel grooves of the same pulleys (multi-groove pulleys). The belt count is the design power divided by one belt's capacity. The design power includes the SERVICE FACTOR (1.0 to 2.0+), amplifying the nominal power to cover real operating conditions — shocks, frequent starts, hours of daily use, type of driving and driven machine (a crusher has a high factor, a fan a low one). The power per belt comes from the maker's tables for each profile and speed, corrected by the wrap angle (less wrap → less capacity) and belt length. When several belts are used, they should be a MATCHED SET (with identical lengths) to share the load equally — belts of different lengths overload some and idle others. This is the final step of selecting a V-belt drive. Enter the design power and the power per belt.
Belt Maximum Tension
Calculate a belt's maximum (tight-side) tension, T₁ = T_e·r ÷ (r − 1), from the effective tension T_e = T₁ − T₂ (the power-transmitting force, N) and the tension ratio r = T₁/T₂ (at the slip limit). Knowing the force the belt must transmit (the effective tension, from power and velocity) and the maximum tension ratio the belt sustains before slipping (from friction, wrap and, in V-belts, the wedge effect), the individual side tensions can be computed. The maximum tension T₁ (tight side) is the larger, and it SIZES the belt's strength (which must not break) and the load on the BEARINGS and pulley shafts (which feel the sum of both side tensions, bending the shaft). Knowing T₁ is essential to: check the belt resists (versus its tensile strength), size the bearings for the radial load imposed by the belt (which can be significant and shortens bearing life), and set the correct installation tension. The LOWER the tension ratio r (worse friction, less wrap), the HIGHER the T₁ needed for the same power — hence the advantage of V-belts (high r) in reducing loads. Enter the effective tension and the tension ratio.
Belt Installation Tension
Calculate a belt's installation (static) tension, T_i = (T₁ + T₂) ÷ 2, from the tight-side T₁ and slack-side T₂ tensions (N). The installation tension is the INITIAL tension applied to the belt when mounting it (with the machine stopped), tensioning it between pulleys — it is the average of the tensions that will exist on both sides during operation. Setting this initial tension correctly is one of the most important and most neglected maintenance tasks in belt drives: a SLACK belt (low tension) slips under load — losing power, generating heat, wearing fast and even burning; an OVER-TIGHT belt (high tension) overloads the bearings and shafts (drastically shortening bearing life), stretches and fatigues the belt, and wastes energy. The correct installation tension is the one that, under operating load, keeps the slack side with enough tension not to slip, without overdoing the tight side. In practice, the installation tension is measured by belt deflection under a standard force, or by the span natural frequency (sonic meter). Tension 'settles' in the first hours (a new belt stretches), so re-tensioning after the run-in period is recommended. Enter the tight- and slack-side tensions.
Belt Contact Arc
Calculate the contact-arc length of a belt on the smaller pulley, L_arc = (d ÷ 2)·θ, from the smaller pulley diameter d (mm) and the wrap angle θ (radians). The contact arc is the length of the belt portion actually in contact with the pulley (touching it), along the wrap angle — simply the pulley radius times the angle (in radians), the arc-length formula. This length matters for several reasons: it sets the CONTACT AREA between belt and pulley (with the width), governing contact pressure and friction distribution; it influences heating (friction × area) and wear of both belt and pulley; and it is relevant to elastic slip (creep), where the belt, changing tension from T₁ to T₂ along the arc, elastically stretches and contracts, sliding microscopically over the pulley — a small INEVITABLE slip (1-2%) occurring even without gross slipping, making the output speed always slightly below theoretical. A larger contact arc (bigger pulley or more wrap) distributes friction better and reduces the slip tendency. This calculation complements the geometric and friction analysis of a belt drive. Enter the smaller pulley diameter and the wrap angle.
Follower Displacement (SHM)
Calculate the displacement of a simple-harmonic-motion (SHM) cam follower, s = (h/2)·(1 − cos(π·θ/β)), from the total lift h (mm), the cam angle θ (rad, current position) and the rise cam angle β (rad, ramp duration). A cam is a special-profiled mechanical element that, rotating, imposes a programmed motion on a FOLLOWER sliding or pivoting on it — the heart of engine valve trains, automatic machines, textile, printing and packaging equipment. Simple harmonic motion is a classic follower motion law: displacement follows a cosine, starting smoothly from rest, accelerating to mid-height and decelerating smoothly to rest at the top. It has continuous velocity and acceleration (no jumps), but acceleration is discontinuous at the ends (start and finish), causing a small shock — so SHM suits moderate speeds. The follower displacement diagram (s vs θ) is the starting point of cam-profile design: from it derive velocity, acceleration and jerk, which set the forces, vibrations and accuracy of the mechanism. Enter the lift, the current angle and the rise angle.
Follower Max Velocity (SHM)
Calculate the maximum velocity of a simple-harmonic-motion cam follower, v_max = (π·h·ω) ÷ (2·β), from the total lift h (mm), the cam angular velocity ω (rad/s) and the rise angle β (rad). In simple harmonic motion, the follower velocity starts from zero (rest), rises to a MAXIMUM at mid-rise (when the follower passes mid-height) and returns to zero at the top. This peak matters for several reasons: it sets the speed the follower — and the coupled mass (valve, tool, part) — moves at, affecting inertia and dynamic forces; it influences cam-follower contact wear; and, with acceleration, it decides whether the follower can follow the cam without 'floating' (losing contact, jump, at high speeds). Maximum velocity grows linearly with the cam rotation ω and the lift h, and decreases with the rise angle β (more 'spread-out' rises are smoother). Comparing SHM with other motion laws (parabolic, cycloidal) by maximum velocity and acceleration is how the right law is chosen per application. Enter the lift, the cam angular velocity and the rise angle.
Follower Max Acceleration (SHM)
Calculate the maximum acceleration of a simple-harmonic-motion cam follower, a_max = (π²·h·ω²) ÷ (2·β²), from the total lift h (mm), the cam angular velocity ω (rad/s) and the rise angle β (rad). Follower acceleration is perhaps the MOST important parameter in high-speed cam design, since it generates the INERTIA FORCES (F = m·a): the higher the acceleration, the greater the force the cam must apply to the follower (and the reaction back on the cam and bearings), the greater the tendency to vibration and follower 'jump', and the greater the contact stresses. In SHM, maximum acceleration occurs at the ENDS (start and finish of the rise), and — crucially — it has a DISCONTINUITY there (jumping from zero to maximum instantly), causing a shock and exciting vibrations. So for very high speeds, CYCLOIDAL motion is preferred (its acceleration is continuous, starting and ending at zero), despite cycloidal having a slightly higher peak acceleration. Acceleration grows with the SQUARE of the rotation ω — so doubling the rotation quadruples the inertia forces, and high-rpm engine cams are a design challenge. Enter the lift, the angular velocity and the rise angle.
Max Acceleration (Parabolic Cam)
Calculate the (constant) maximum acceleration of a parabolic-motion (constant-acceleration) cam follower, a_max = (4·h·ω²) ÷ β², from the total lift h (mm), the cam angular velocity ω (rad/s) and the rise angle β (rad). Parabolic, or constant-acceleration, motion is the law producing the LOWEST possible maximum acceleration for a given lift and time — so it minimizes peak inertia forces. It consists of two halves: in the first, the follower accelerates with CONSTANT acceleration (rising parabolic displacement); in the second, it decelerates with the same constant (negative) acceleration, stopping at the top. The name 'parabolic' comes from the displacement diagram, formed by two parabolas. The great advantage is the low maximum acceleration; the drawback is that acceleration JUMPS abruptly — from +a_max to −a_max at the middle, and from zero to ±a_max at the ends — generating infinite JERK there, causing shocks, noise and vibration. So in practice pure parabolic is little used at high speed (despite low peak acceleration), and cycloidal or modified profiles that smooth these transitions are preferred. Parabolic is didactic and useful when peak acceleration is the limiting factor and speeds are moderate. Enter the lift, the angular velocity and the rise angle.
Max Acceleration (Cycloidal Cam)
Calculate the maximum acceleration of a cycloidal-motion cam follower, a_max = (2π·h·ω²) ÷ β², from the total lift h (mm), the cam angular velocity ω (rad/s) and the rise angle β (rad). Cycloidal motion is considered the BEST cam motion law for HIGH SPEEDS, and is standard in precision, high-rpm cams. Its decisive feature is that acceleration is a FULL SINE wave starting at zero, rising to a maximum, passing through zero, going to a minimum and returning to zero — i.e., acceleration is CONTINUOUS and starts and ends smoothly at ZERO at the ends, WITHOUT the discontinuities of SHM and parabolic. This means finite, continuous JERK, eliminating shocks and minimizing vibration excitation — the follower 'glides' smoothly without jolts. The price is a slightly HIGHER maximum acceleration than parabolic (2π ≈ 6.28 vs 4 in the factor) and SHM (π²/2 ≈ 4.93), but the dynamic SMOOTHNESS amply compensates at high speed. The name comes from the cycloid curve describing the displacement. Racing-engine valve cams, fast textile and packaging machines use cycloidal or derived (polynomial) profiles precisely to run at high rpm with low vibration. Enter the lift, the angular velocity and the rise angle.
Max Velocity (Cycloidal Cam)
Calculate the maximum velocity of a cycloidal-motion cam follower, v_max = (2·h·ω) ÷ β, from the total lift h (mm), the cam angular velocity ω (rad/s) and the rise angle β (rad). In cycloidal motion, the follower velocity follows a smooth (1 − cosine) curve, starting from zero, reaching the MAXIMUM at mid-rise and returning to zero at the top — similar in shape to SHM, but with a slightly different profile ensuring acceleration continuity. The cycloidal maximum velocity (factor 2) is slightly HIGHER than SHM's (factor π/2 ≈ 1.57), reflecting that, to 'fit' the same lift in the same angle with smoother end accelerations, the mid velocity must be higher. Knowing the maximum velocity matters for the mechanism dynamics (the follower-mass kinetic energy, supplied then absorbed each cycle), for friction and wear at the cam-follower contact, and to check the system can follow the cam at high rpm. Comparing the maximum velocities and accelerations of the three classic laws (parabolic, SHM, cycloidal) is the basis of choosing the right cam profile per combination of load, speed and smoothness requirement. Enter the lift, the angular velocity and the rise angle.
Cam Pressure Angle
Calculate the pressure angle of a radial translating-follower cam, α = arctan((ds/dθ) ÷ (R_b + s)), from the displacement derivative with respect to angle ds/dθ (mm/rad, the profile 'slope'), the base circle radius R_b (mm) and the follower displacement s (mm). The pressure angle is the angle between the direction of the FORCE the cam applies to the follower (normal to the profile, at the contact point) and the direction of the follower MOTION. It is a critical design parameter: the LARGER the pressure angle, the greater the LATERAL force component (perpendicular to follower motion), which does no useful work but pushes the follower against its guides, causing friction, wear and possibly JAMMING the follower if excessive. The rule of thumb limits the pressure angle to about 30° (less for translating followers with long guides). The pressure angle depends on the profile (ds/dθ, steeper = larger angle), the base radius (larger cams have smaller angles and smoother operation) and the displacement. So when the pressure angle comes out excessive, the solution is to INCREASE the base circle radius (bigger cam) — at the cost of more space, mass and peripheral speed. Controlling the pressure angle is essential for smooth, durable operation. Enter the displacement derivative, the base radius and the displacement.
Cam Pitch Radius
Calculate the pitch radius of a roller-follower cam, R_p = R_b + R_r, from the base circle radius R_b (mm) and the follower roller radius R_r (mm). In ROLLER-follower cams (a bearing rolling on the cam profile, reducing friction versus flat-face or knife-edge followers), two important curves are distinguished: the real PROFILE of the cam (the physical surface the roller touches) and the PITCH curve, the locus of the roller CENTER as it follows the cam. The pitch curve is designed first (from the displacement diagram), and the real profile is obtained by 'offsetting' the roller radius from the pitch curve. The pitch radius, at the base position, is the sum of the base circle radius and the roller radius. This distinction is fundamental for a practical reason: the roller radius cannot exceed the smallest RADIUS OF CURVATURE of the pitch curve in CONCAVE regions, or the roller does not 'fit' and the cam gets an incorrect profile (undercutting), distorting the motion. So the choice of roller radius and base radius is coupled to the cam geometry. The pitch radius also enters the pressure-angle and peripheral-speed calculations. Enter the base circle radius and the roller radius.
Follower Displacement (Parabolic)
Calculate the displacement of a parabolic-motion cam follower, in the first half of the rise, s = 2·h·(θ/β)², from the total lift h (mm), the cam angle θ (rad, current position) and the rise angle β (rad). In parabolic (constant-acceleration) motion, the first HALF of the rise has the follower accelerating uniformly, and its displacement grows with the SQUARE of the angle — hence 'parabolic' (the s vs θ curve is a parabola). The formula s = 2h(θ/β)² holds for θ between 0 and β/2 (half the rise); in the second half, the follower decelerates and the curve is an inverted parabola completing the lift smoothly to h. This motion is the cam analog of a body in free fall (constant acceleration): just as distance traveled grows with the square of time, here displacement grows with the square of angle. The parabolic construction produces the lowest maximum acceleration among simple laws, but with infinite jerk at the junctions (start, middle and end), limiting its use at high speed. This calculation gives the follower position at any point of the first half, useful for tracing the cam profile and for kinematic analysis. Enter the lift, the current angle and the rise angle.
Wire Rope Safety Factor
Calculate a wire rope's safety factor, SF = breaking load ÷ working load, from the minimum breaking load (MBL, N) and the applied working load (N). Wire ropes, used in cranes, elevators, cableways, bridges, lifting and mooring, work with HIGH safety factors — far higher than static structures — for several reasons: the load is rarely static (there are impacts, accelerations, swings), the rope wears and loses strength over use (wires break, corrosion and fatigue occur), and a rupture is catastrophic (load drop, life risk). Codes prescribe minimum safety factors per application: typically 5 for general load lifting, 6-8 for people-carrying ropes (elevators, cableways), 3-4 for static stays and moorings, and specific values per use. The safety factor is the ratio between the load that would break the rope (its rated strength, from the maker) and the load it actually carries in service. Checking that the real safety factor meets the code minimum is the basic safety check of any wire-rope application — and the rope must be DISCARDED when wear reduces its strength enough for the factor to fall below the limit. Enter the breaking load and the working load.
Wire Rope Working Load Limit (WLL)
Calculate a wire rope's allowable working load, WLL = MBL ÷ SF, from the minimum breaking load (MBL, N) and the required safety factor. The working load (WLL — Working Load Limit, or SWL — Safe Working Load) is the MAXIMUM load that can be safely applied to a rope, fitting or lifting equipment — the information STAMPED on slings, shackles, hooks and equipment plates, and what the operator uses to decide whether a given load can be lifted. It is obtained by dividing the breaking load (the real strength that would break the component) by the code safety factor (5 for general lifting, more for special situations). Respecting the WLL is an absolute safety rule in lifting and material-handling: exceeding the working load dangerously approaches the component to rupture, eliminating the safety margin covering dynamic effects, wear and uncertainties. The WLL is not the rope's strength — it is the SAFE fraction of it. Every rigging operation starts by checking that the load to lift is below the WLL of each component in the load line (rope, slings, shackles, hook, eye), since the chain is only as strong as its weakest link. Enter the breaking load and the safety factor.
Sling Leg Tension
Calculate the tension in each leg of a multi-leg inclined sling, T = W ÷ (n·cos α), from the load weight W (N), the number of legs n and the angle of each leg from vertical α (degrees). When a load is lifted by a multi-leg sling (ropes or chains from the hook spreading to the attachment points on the load), the tension in each leg is NOT simply the weight divided by the number of legs — because the legs are INCLINED. The more OPEN the angle (more horizontal legs), the HIGHER the tension in each leg, possibly MULTIPLYING the load several times! This happens because, with inclined legs, part of each leg's force is 'spent' on the horizontal component (which cancels between opposite legs, compressing the load), and only the vertical component supports the weight — so the total tension must be higher for the vertical components to sum to the weight. This is one of the most dangerous and common rigging errors: using slings with very open angles overloads the legs, possibly breaking them even with a load 'apparently' within capacity. So codes LIMIT the leg angle (typically 60° max from vertical, ideally less) and sling WLL tables give the REDUCED capacity per angle. Enter the load weight, the number of legs and the angle.
Sling Tension Factor
Calculate the tension (load) factor of a sling leg, k = 1 ÷ cos α, from the leg angle from vertical α (degrees). The tension factor is the MULTIPLIER showing how much a sling leg's inclination INCREASES its tension versus a vertical leg. For a vertical leg (α = 0°), the factor is 1 (the leg supports exactly its share of the weight); as the angle opens, the factor grows: 1.04 at 15°, 1.15 at 30°, 1.41 at 45°, 2.0 at 60°, and shoots to infinity approaching 90° (horizontal legs, physically impossible to support). This factor is the quick, standardized way to assess the angle 'penalty' in lifting: just multiply the load per leg (weight ÷ number of legs) by the tension factor to get the real tension. Rigging tables and sling safety labels carry these factors precisely for the operator to adjust capacity. The golden rule of safe rigging is to keep leg angles CLOSED (near vertical, below 45° from vertical whenever possible) — very open legs are a frequent cause of overload accidents. Knowing the tension factor is essential for any lift with inclined sling legs. Enter the leg angle from vertical.
Rope-Pulley Contact Pressure
Calculate the contact pressure between a wire rope and a pulley (or drum) groove, p = 2·T ÷ (d·D), from the rope tension T (N), the rope diameter d (m) and the pulley diameter D (m); the result is in kPa. When a tensioned wire rope wraps a pulley, it presses the pulley groove with a contact pressure depending on tension and geometry. This pressure is a critical WEAR factor of the rope and pulley: high pressures (highly tensioned rope, small-diameter pulley, thick rope) accelerate abrasive wear of the rope's outer wires and the pulley groove wear, shortening both lives. Contact pressure is INVERSELY proportional to pulley diameter — so larger pulleys and drums extend rope life (besides reducing bending fatigue). Codes and makers specify allowable pressures per pulley material (steel, cast iron, polymer) and rope. With the D/d ratio (governing bending fatigue), contact pressure sets the rope-pulley system durability. Controlling contact pressure — using adequate pulleys and keeping tension within limits — is essential for the service life and safety of cranes, elevators and cableways. Enter the rope tension, the rope diameter and the pulley diameter.
D/d Ratio (Pulley-Rope)
Calculate the D/d ratio between the pulley diameter D and the rope diameter d, r = D ÷ d (both in the same unit). The D/d ratio is the most important parameter for the FATIGUE LIFE of a wire rope working over pulleys and drums. Each time the rope passes a pulley, it is FLEXED (bent and unbent), and this repeated bending fatigues the wires — the SMALLER the pulley diameter relative to the rope (lower D/d), the TIGHTER the curve, the greater the wire bending strain and the faster the rope fatigues and breaks. So codes require MINIMUM D/d ratios: typically 18-25 for cranes (each bend costs life), and even higher (40+) for people elevators and high-durability applications. Too small a D/d ratio drastically reduces rope life — doubling the D/d ratio can multiply rope life several times. There is a design trade-off: larger pulleys (high D/d) extend rope life but increase the equipment's size, weight and cost. The D/d ratio, with contact pressure and tension, sets the rope durability. Checking that the D/d ratio meets the code minimum is essential in designing any lifting machine. Enter the pulley and rope diameters.
Hoist Operating Effort
Calculate the effort needed to lift a load with a hoist (block and tackle), F = W ÷ (n·η), from the load weight W (N), the number of supporting rope parts n (parts of the rope supporting the moving block) and the efficiency η (0-1). The hoist (or block and tackle) is a pulley system that MULTIPLIES the applied force, allowing heavy loads to be lifted with little effort — the pulley principle, known since antiquity. A block with n supporting rope parts reduces the needed force to about 1/n of the weight (mechanical advantage n), at the cost of pulling n times more rope length (energy is conserved). But there are friction LOSSES at each pulley (bearings, rope bending): the efficiency η (typically 0.95-0.98 per pulley, accumulating along the system) reduces the real mechanical advantage — so the needed force is slightly more than the ideal W/n. This calculation gives the force the operator (or motor, or winch) must apply at the free rope end to lift the load, accounting for losses. It is essential in sizing manual and electric hoists and choosing the right block: more pulleys (higher n) reduce the force but increase accumulated friction and travel. Enter the weight, the number of supporting rope parts and the efficiency.
Block Mechanical Advantage
Calculate the real mechanical advantage of a hoist or block, MA = n·η, from the number of supporting rope parts n (parts of the rope supporting the load) and the efficiency η (0-1). The mechanical advantage is the factor by which the hoist MULTIPLIES the applied force: a mechanical advantage of 4 means a 100 N force at the rope end lifts a 400 N load (in the ideal hoist). It equals the number of ropes supporting the moving block — in a 4-part block, each part supports 1/4 of the load, so the end force is 1/4 of the weight. The IDEAL mechanical advantage would be exactly n, but FRICTION at the pulleys reduces it: multiplying by η (accumulating each pulley's losses) gives the REAL mechanical advantage, always below n. This concept underlies all pulley systems, from a simple fixed pulley (MA = 1, only changing force direction) to complex blocks (MA of 8, 12 or more). There is a trade-off: more pulleys give greater mechanical advantage (less force), but accumulated friction reduces efficiency and requires pulling much more rope. Mechanical advantage is what is gained in force at the cost of distance — a direct manifestation of energy conservation. Enter the number of supporting rope parts and the efficiency.
Cable Tension in Accelerated Lift
Calculate the dynamic tension in a cable while lifting a load with acceleration, T = W·(1 + a/g), from the load weight W (N), the vertical lift acceleration a (m/s²) and gravity g. When a load is lifted with ACCELERATION (at lift start, when accelerating the rise), the cable must provide not only the force to support the weight (W) but ALSO the force to accelerate the mass upward — by Newton's second law, the total tension is the weight times the factor (1 + a/g). This means the DYNAMIC tension is GREATER than the static weight: an acceleration of g/2 (5 m/s²) raises the tension by 50%! That is why ABRUPT lifts (fast start, or worse, lifting an already-moving load or stopping abruptly) generate dangerous dynamic OVERLOADS in the cable, which can break it even with the static load within capacity. The effect is worse in abrupt STOPS and in loads 'snatching off the ground' (cable slack suddenly removed, generating an impact). So experienced operators lift SMOOTHLY (low acceleration), and the cable safety factors (5 or more) exist precisely to cover these inevitable dynamic overloads. This calculation quantifies the tension increase due to acceleration, essential in the safety analysis of dynamic lifts. Enter the load weight and the lift acceleration.
Cylindrical Shell Thickness (ASME)
Calculate the minimum wall thickness of a pressure-vessel cylindrical shell by the ASME Section VIII Division 1 formula, t = (P·r) ÷ (S·E − 0.6·P), from the internal design pressure P (MPa), the internal radius r (mm), the material allowable stress S (MPa) and the welded-joint efficiency E (0-1). The pressure vessel — used in boilers, chemical reactors, heat exchangers, compressed-air and LPG tanks, autoclaves — is a CRITICAL safety component: a failure under pressure can be explosive and catastrophic. So its design is rigorously codified, the ASME BPVC (Boiler and Pressure Vessel Code) being the world's most used. This formula gives the minimum cylindrical-shell thickness to safely resist the circumferential (hoop) stress. The '−0.6·P' term refines the thin-wall formula for moderately thick walls. The joint efficiency E (0.70 to 1.0, per weld type and radiographic-inspection degree) penalizes strength at the welded region — fully radiographed welds have E=1.0, uninspected welds lower E. The corrosion allowance is added to the calculated thickness. This is the central pressure-vessel design calculation, and underestimating is inadmissible. Enter the design pressure, internal radius, allowable stress and joint efficiency.
Hemispherical Head Thickness (ASME)
Calculate the minimum thickness of a pressure-vessel hemispherical head by the ASME Section VIII formula, t = (P·r) ÷ (2·S·E − 0.2·P), from the internal pressure P (MPa), internal radius r (mm), allowable stress S (MPa) and joint efficiency E. Heads close the ends of a pressure vessel's cylindrical shell, and their shape is decisive for structural efficiency. The HEMISPHERICAL (half-sphere) head is the MOST EFFICIENT of all: since the sphere distributes pressure equally in all directions (uniform membrane stress), the hemispherical head needs only about HALF the thickness of the cylindrical shell of the same radius and pressure (compare the '2·S·E' in the denominator with the shell's 'S·E'). So it is the choice for high-pressure vessels. The drawbacks are costlier fabrication and greater height (more space). For moderate pressures and costs, elliptical (2:1) or torispherical heads, intermediate, are used. The head-type choice is a trade-off among thickness/material (cost), space and fabrication ease. This formula is fundamental in the complete vessel design, combining shell and heads. Enter the pressure, internal radius, allowable stress and joint efficiency.
Torispherical Head Thickness (ASME)
Calculate the minimum thickness of a torispherical (standard flanged-and-dished) pressure-vessel head, t = (0.885·P·L) ÷ (S·E − 0.1·P), from the internal pressure P (MPa), the spherical crown radius L (mm), the allowable stress S (MPa) and the joint efficiency E. The TORISPHERICAL head is the most COMMON and economical head type in medium-pressure vessels (and universal in shallow tanks): it combines a central spherical crown (radius L) with a toroidal knuckle transition at the edge, joining the cylindrical shell — a form easier and cheaper to stamp than the hemispherical, and more compact (lower height). The 0.885 factor and formula hold for the standard ASME geometry with L ≈ D (crown radius equal to diameter) and the knuckle radius of 6% of the diameter. The price of the economy is a GREATER thickness than the hemispherical (the toroidal transition concentrates stress) and a critical knuckle region, where high bending stresses can arise. The torispherical head is the practical 'middle ground' between the costly hemispherical and the flat (which needs enormous thicknesses). This formula is essential in designing vessels with this head type. Enter the pressure, crown radius, allowable stress and joint efficiency.
Cylindrical Shell MAWP
Calculate the maximum allowable working pressure (MAWP) of a pressure-vessel cylindrical shell, MAWP = (S·E·t) ÷ (r + 0.6·t), from the allowable stress S (MPa), the joint efficiency E, the available thickness t (mm, corrosion-deducted) and the internal radius r (mm). The MAWP is the MAXIMUM pressure a vessel can safely operate at the top, in the operating position, at the design temperature — one of a pressure vessel's most important numbers, stamped on its nameplate. It is the INVERSE of the thickness calculation: given the REAL available thickness (supplied, minus corrosion suffered), the maximum pressure it withstands is computed. MAWP is fundamental for several reasons: it sets the SAFETY-VALVE setting (which must open before pressure reaches MAWP, protecting the vessel from overpressure — the cause of explosions); it establishes the vessel's operating limit; and, recomputed periodically with the REMAINING thickness (measured by ultrasound at inspection, decreasing with corrosion), it monitors the vessel's 'health' over life — when MAWP drops below the operating pressure, the vessel must be repaired or retired. Each component (shell, heads) has a MAWP, and the vessel's is the smallest (the weakest component). Enter the allowable stress, efficiency, thickness and radius.
Hemispherical Head MAWP
Calculate the maximum allowable working pressure (MAWP) of a pressure-vessel hemispherical head, MAWP = (2·S·E·t) ÷ (r + 0.2·t), from the allowable stress S (MPa), the joint efficiency E, the available thickness t (mm) and the internal radius r (mm). Each pressure-vessel component has its own MAWP — the maximum pressure IT withstands with its available thickness — and the WHOLE vessel's MAWP is the SMALLEST among all its components' MAWPs (shell, heads, nozzles), since the vessel is as strong as its weakest component. This formula gives the hemispherical head's MAWP, the inverse of that head's thickness calculation. The factor 2 in the numerator (versus 1 in the shell) reflects the greater efficiency of the spherical form: for the same thickness, radius and material, the hemispherical head withstands about DOUBLE the cylindrical shell's pressure. So in a well-designed vessel with hemispherical heads, the cylindrical SHELL is usually the component governing the vessel's MAWP (the weakest), and the heads have margin. Comparing the components' MAWPs identifies the weakest link and guides repairs and reinforcements. Recomputing MAWP with the remaining thickness measured at inspection is part of vessel integrity management. Enter the allowable stress, efficiency, thickness and radius.
Vessel Allowable Stress (ASME)
Calculate the design allowable stress of a pressure-vessel material by the ASME criterion, S = σ_uts ÷ n, from the material minimum tensile strength σ_uts (MPa) and the safety factor n (3.5 in the current ASME VIII Div. 1 edition for tensile strength). The allowable stress S is the MAXIMUM stress permitted in the vessel material in service, and is the basis of all thickness and MAWP calculations — it embeds the safety margin against failure. The ASME code sets the allowable stress as the SMALLEST among several criteria: a fraction of the TENSILE strength (σ_uts/3.5 in the current edition — formerly /4.0, reduced as materials and inspection advanced), a fraction of the YIELD strength (2/3 of σ_yield), and, at high temperatures, criteria based on CREEP and creep rupture (since at high temperature the material deforms slowly under constant load). For each material and temperature, the code TABULATES the S value — this formula shows the tensile-strength criterion, often governing at moderate temperatures. Using the correct allowable stress (from the code, for the right material and temperature) is absolutely essential: it is the safety margin protecting against vessel explosion. Enter the tensile strength and the safety factor.
Hydrostatic Test Pressure
Calculate the hydrostatic test pressure of a pressure vessel by the (simplified) ASME rule, P_test = 1.3 · MAWP, from the maximum allowable working pressure MAWP (MPa). Before entering service (and periodically, at revalidations), every pressure vessel undergoes a HYDROSTATIC TEST: it is filled with WATER (not gas!) and pressurized ABOVE the operating pressure, to verify structural integrity and tightness before entrusting it with a hazardous fluid. ASME VIII Div. 1 (rule UG-99) requires a test pressure of 1.3 times MAWP (corrected by the allowable-stress ratio at test and design temperatures, simplified here). Using WATER is a fundamental safety matter: water is practically incompressible, so it stores very little energy when pressurized — if the vessel ruptures during the test, the failure is localized and relatively safe (it leaks, not explodes); whereas a compressed gas stores enormous energy and a rupture would be EXPLOSIVE, possibly lethal. The 1.3×MAWP test subjects the vessel to higher-than-operating stresses, revealing defects (cracks, bad welds, insufficient thickness) with margin, without reaching general yielding. Passing the hydrostatic test is a condition for the vessel's certification and operation. Enter the MAWP.
Vessel Head Axial Force
Calculate the total axial force the internal pressure exerts on a pressure vessel's cover (or head), F = P · (π·D²/4), from the internal pressure P (MPa) and the internal diameter D (mm); the result is in N. A vessel's internal pressure acts on the ENTIRE internal surface, and on the cover (or closure flange) it generates an axial force tending to PUSH the cover outward — equal to pressure times the cross-sectional area. This force can be ENORMOUS: a modest 1 MPa (10 bar) pressure in a 1-metre-diameter vessel generates a force of nearly 800 kN (80 tonnes!) trying to blow off the cover. This force is what the closure-flange BOLTS (or the head weld) must resist — so flanged pressure vessels have many robust bolts, and computing this force is the starting point of sizing the flange, bolts and gasket. The force also explains why one must NEVER open a still-pressurized vessel: the cover can be hurled with lethal force (serious accidents happen this way, especially with autoclaves and filters). Knowing the cover force is essential for safe closure design and operating procedures. Enter the internal pressure and the diameter.
Thickness with Corrosion Allowance
Calculate the total thickness to specify for a pressure-vessel component including the corrosion allowance, t_total = t_calculated + CA, from the minimum pressure-calculated thickness t_calculated (mm) and the corrosion allowance CA (mm). The thickness from the ASME formulas is the MINIMUM needed to resist pressure — but the vessel will operate for DECADES, and corrosion (and erosion) will consume wall material over time. If the vessel were made exactly at the minimum thickness, the first corrosion would already leave it below safe. So a CORROSION ALLOWANCE (CA) is added — a 'sacrificial' over-thickness, typically 1.5 to 6 mm, sized for the expected corrosion rate times the design life (e.g., 0.1 mm/year × 25 years = 2.5 mm). Thus the thickness specified for fabrication is the structural minimum plus the corrosion allowance. Over life, inspection (by ultrasound) measures the REMAINING thickness; when corrosion consumes the whole allowance and the thickness approaches the structural minimum, the vessel must be repaired or retired. The corrosion allowance is like a 'life reserve' built into the wall. Enter the calculated thickness and the corrosion allowance.
Total Active Earth Pressure (Rankine)
Computes the resultant active earth thrust on a retaining wall, by Rankine theory, Ea = ½·Ka·γ·H², from the active earth pressure coefficient Ka, the soil unit weight γ (kN/m³) and the wall height H (m); the result is in kN per linear metre of wall. The ACTIVE thrust is the horizontal force the retained soil exerts against the wall, tending to push and overturn it — it arises when the wall moves SLIGHTLY outward, letting the soil expand and mobilise its shear strength (active state, the MINIMUM thrust). It is the fundamental load in designing any retaining structure: retaining walls, sheet piles, basement walls. Since pressure grows linearly with depth (triangular distribution), the resultant is proportional to H² — DOUBLING the height QUADRUPLES the thrust, which is why tall walls are so much more massive. The resultant acts at H/3 above the base. Computing Ea correctly is the first step to checking overturning and sliding stability. Enter Ka, the soil unit weight and the height.
Total Passive Earth Pressure (Rankine)
Computes the resultant passive earth thrust, by Rankine theory, Ep = ½·Kp·γ·H², from the passive earth pressure coefficient Kp, the soil unit weight γ (kN/m³) and the mobilised height H (m); the result is in kN per linear metre. The PASSIVE thrust is the RESISTANCE the soil offers when it is COMPRESSED against — the opposite of the active case. It arises, for example, in the soil in front of a retaining wall's footing, or in front of a driven sheet pile, helping resist sliding and overturning. The coefficient Kp = tan²(45° + φ/2) is the INVERSE of Ka, and is always MUCH larger (for φ = 30°, Ka ≈ 0.33 and Kp ≈ 3.0 — passive is nine times the active!), because compressing the soil mobilises its full strength. HOWEVER, passive thrust needs a LARGE displacement to fully develop, so in practice a reduction factor is applied or part of it is neglected for safety. It is essential for sheet piles, bracing and checking a wall's toe. Enter Kp, the unit weight and the mobilised height.
Surcharge Earth Pressure on Wall
Computes the additional thrust resultant caused by a uniform surcharge on the retained backfill, Es = Ka·q·H, from the active earth pressure coefficient Ka, the distributed surcharge q (kPa) and the wall height H (m); the result is in kN per linear metre. When a LOAD is applied on the retained soil surface — vehicle traffic, a nearby building, a stockpile, a parking yard — it increases the pressure on the retaining wall. Unlike the soil self-weight (which gives a TRIANGULAR distribution), a uniform surcharge produces a CONSTANT horizontal pressure over the full height (Ka·q), whose resultant Es = Ka·q·H acts at MID-height (H/2), not at H/3. This surcharge thrust ADDS to the soil's active thrust, and its moment about the base is often significant — ignoring it is a dangerous design error, since walls sized without accounting for traffic or neighbouring structures can overturn. Codes usually require a minimum surcharge (e.g. 10 to 20 kPa) even when no load is apparent. Enter Ka, the surcharge and the height.
Wall Overturning Moment
Computes the overturning moment caused by the active thrust on a retaining wall, Mt = Ea·(H/3), from the active thrust resultant Ea (kN/m) and the wall height H (m); the result is in kN·m per linear metre. The OVERTURNING moment is the tendency of the earth thrust to ROTATE the wall about the outer edge of its base (the 'toe' of the footing), tipping it out of the ground. Since the active thrust has a triangular distribution (maximum at the base, zero at the top), its resultant acts at ONE THIRD of the height measured from the base — hence the lever arm of H/3. This is one of the two classic failure modes of a gravity wall (the other is sliding). The overturning moment is then compared to the STABILISING (resisting) moment, generated by the self-weight of the wall and of the soil over the footing, to compute the overturning safety factor (which must be ≥ 1.5 to 2.0). When a surcharge exists, the moment of the Es component (acting at H/2) is added. Computing Mt is an essential step of the stability check. Enter the active thrust and the wall height.
Overturning Safety Factor
Computes a retaining wall's overturning safety factor, FSt = M_resisting / M_overturning, from the stabilising moment M_resisting and the overturning moment M_overturning (both in kN·m/m, taken about the outer edge of the base). The OVERTURNING safety factor measures how far the wall is from rotating and tipping about its base 'toe'. The RESISTING (stabilising) moment is generated by the VERTICAL forces that help keep the wall in place — chiefly the wall's self-weight and the weight of the soil resting on the footing — times their lever arms to the pivot point. The OVERTURNING moment comes from the earth thrust (and surcharge). For the wall to be safe, the resisting moment must EXCEED the overturning one with margin: geotechnical codes typically require FSt ≥ 1.5 (sometimes 2.0). If the factor falls below the minimum, you must ENLARGE the base, widen the footing (adding stabilising 'soil weight'), or use a heavier wall. Together with sliding and bearing capacity, overturning is one of the mandatory external stability checks. Enter the resisting moment and the overturning moment.
Wall Sliding Safety Factor
Computes a retaining wall's sliding safety factor, FSd = (μ·W + Ep) / Ea, from the base-soil friction coefficient μ, the total vertical load W (kN/m, wall weight + soil over the footing), the passive thrust Ep in front of the base (kN/m) and the horizontal active thrust Ea (kN/m). The SLIDING safety factor measures how far the wall is from SLIPPING horizontally over the bearing soil, pushed by the earth thrust. The forces that RESIST sliding are: (1) base FRICTION, equal to the coefficient μ (≈ tan δ, where δ is the soil-foundation friction angle) times the total vertical load W pressing the base against the ground; and (2) the PASSIVE thrust Ep mobilised in the soil in front of the base. The force DRIVING sliding is the horizontal active thrust Ea. Codes typically require FSd ≥ 1.5. If the factor is insufficient, common solutions are: add a KEY (shear key) to the base to mobilise more passive thrust, widen the base, or increase the wall weight. It is the second classic external-stability check, alongside overturning. Enter the friction coefficient, vertical load, passive thrust and active thrust.
Base Resultant Eccentricity
Computes the eccentricity of the resultant force on a retaining wall's base, e = B/2 − (M_r − M_o)/V, from the base width B (m), the resisting moment M_r and the overturning moment M_o (kN·m/m) and the total vertical load V (kN/m). The ECCENTRICITY indicates HOW FAR from the base centre the vertical resultant acts — crucial for knowing how the pressure distributes on the foundation soil. The term (M_r − M_o)/V locates the resultant's point of application measured from the 'toe' (outer edge); subtracting from B/2 gives the offset e relative to the centre. The golden rule is to keep e ≤ B/6 (the resultant within the base's 'middle third'): if satisfied, the whole base stays in COMPRESSION (no tension in the soil, which cannot take it) and the stress distribution is trapezoidal. If e > B/6, part of the base 'lifts off' (tension), concentrating the load on a narrower strip and dangerously raising the peak stress — a situation to avoid. Eccentricity is thus a key indicator of the wall's good proportioning and feeds directly into the maximum and minimum base stresses. Enter the base width, the resisting and overturning moments and the vertical load.
Maximum Base Pressure
Computes the maximum contact pressure at a retaining wall's base, σmax = (V/B)·(1 + 6e/B), from the total vertical load V (kN/m), the base width B (m) and the resultant eccentricity e (m). When the resultant vertical load does not pass exactly through the base centre (e ≠ 0), the pressure on the foundation soil is NOT uniform: it distributes TRAPEZOIDALLY, with a MAXIMUM value at the more loaded edge (the 'toe', thrust side) and a minimum at the other. The formula combines the mean compression (V/B) with the bending caused by the moment (V·e), giving the term (1 + 6e/B). The maximum stress σmax is the decisive number of the BEARING CAPACITY check: it must be LESS than the foundation soil's allowable stress (bearing capacity ÷ safety factor), otherwise the soil yields and the wall settles or fails by punching. The larger the eccentricity, the more the stress concentrates at the edge and the higher σmax — hence the aim to keep e ≤ B/6. This is the third mandatory external-stability check, alongside overturning and sliding. Enter the vertical load, the base width and the eccentricity.
Minimum Base Pressure
Computes the minimum contact pressure at a retaining wall's base, σmin = (V/B)·(1 − 6e/B), from the total vertical load V (kN/m), the base width B (m) and the resultant eccentricity e (m). It is the companion of the maximum stress: in the TRAPEZOIDAL pressure distribution under the base, σmin is the value at the LESS loaded edge (usually the 'heel', opposite the thrust). The sign of the result carries a CRITICAL design message: if σmin is POSITIVE, the whole base is in compression (the desired situation, with e ≤ B/6). If the formula gives a NEGATIVE σmin, it would mean 'tension' at the soil-foundation contact — but soil does NOT resist tension, so physically the base partly LIFTS OFF the ground (e > B/6), the effective bearing area shrinks and the real peak stress becomes EVEN HIGHER than the trapezoidal formula gives. So obtaining σmin < 0 is a warning sign: the wall is poorly proportioned and must be resized (widen the base) to bring the resultant back into the middle third. Checking σmin ≥ 0 is a quick, essential check of the wall's good geometry. Enter the vertical load, the base width and the eccentricity.
Power Screw Mean Diameter
Computes the mean (pitch) diameter of a square-thread power screw, dm = d − p/2, from the major (outer) diameter d (mm) and the thread pitch p (mm). The power screw (motion-transmission screw) is the machine element that converts rotation into LINEAR motion while transmitting large forces — used in vices, jacks, presses, actuators, machine-tool lead screws and lift tables. The MEAN diameter dm is the central geometric quantity of ALL screw calculations: it is where the friction force and the thread load are taken to act, and it enters the torque formulas to raise and lower the load, the lead angle and the efficiency. For the SQUARE thread (the most used in power screws for its good efficiency), dm lies exactly halfway between the major diameter d and the root diameter dr, that is dm = d − p/2 (since the thread depth is p/2). Computing dm is therefore the first step in sizing any power screw. Enter the major diameter and the pitch.
Power Screw Lead Angle
Computes the lead (helix) angle of a power screw, λ = arctan(l / (π·dm)), from the lead l (mm, distance the nut travels per turn) and the mean diameter dm (mm); the result is in degrees. The LEAD angle λ is the inclination of the thread relative to a plane perpendicular to the axis — geometrically, it is the angle of a ramp whose horizontal length is the mean circumference (π·dm) and whose height is the lead l. This angle governs the screw's behaviour: the LARGER λ (fast-lead threads, multiple starts), the HIGHER the mechanical efficiency (the screw 'climbs the ramp' with less relative friction loss), but the LOWER the mechanical advantage and the tendency to self-lock. The SMALLER λ (fine threads), the greater the self-locking (the load will not descend on its own) and the force multiplication, at the cost of lower efficiency. Comparing λ with the friction angle (φ = arctan μ) decides whether the screw is self-locking (λ < φ) or not. The lead angle is thus a key parameter linking the screw's geometry, efficiency and safety. Enter the lead and the mean diameter.
Power Screw Raising Torque
Computes the torque required to RAISE a load with a square-thread power screw, TR = (F·dm/2)·[(l + π·μ·dm) / (π·dm − μ·l)], from the axial load F (N), the mean diameter dm (mm), the lead l (mm) and the thread friction coefficient μ; the result is in N·mm. This is the CENTRAL power-screw calculation: how much torque (and, with the lever length, how much handle force) must be applied to make the load RISE — tighten a vice, lift a jack, advance a press. The formula derives from the equilibrium of a block climbing an inclined plane (the thread's ramp) against friction: the term 'l' represents the useful work of raising the load, and the term 'π·μ·dm' represents the friction loss, which OPPOSES the motion (hence it adds in the numerator when raising). The greater the friction μ or the lead l, the greater the torque. Note this torque does NOT include the collar (thrust bearing) friction, which must be added separately. The raising torque sizes the drive (crank, motor) and checks the screw's strength. Enter the load, the mean diameter, the lead and the friction coefficient.
Power Screw Lowering Torque
Computes the torque required to LOWER a load with a square-thread power screw, TL = (F·dm/2)·[(π·μ·dm − l) / (π·dm + μ·l)], from the axial load F (N), the mean diameter dm (mm), the lead l (mm) and the thread friction coefficient μ; the result is in N·mm. When LOWERING the load, gravity aids the motion and friction now OPPOSES the descent — so the signs invert relative to the raising torque (the 'l' subtracts and friction 'π·μ·dm' stays in the numerator as resistance). The SIGN of the result is the most important information: if TL is POSITIVE, torque must be APPLIED to lower the load — that is, the screw is SELF-LOCKING (the load will not descend on its own when the crank is released; the case of jacks and vices, for safety). If TL is NEGATIVE, the screw would DESCEND ON ITS OWN under the load (non-self-locking), and a BRAKING torque would be needed to control it — the case of fast-lead (high-efficiency) screws, used when free motion is wanted but dangerous for sustaining loads. Computing TL directly reveals the self-locking condition. Enter the load, the mean diameter, the lead and the friction coefficient.
Power Screw Efficiency
Computes the mechanical efficiency of a power screw, e = [tan λ·(1 − μ·tan λ)] / (μ + tan λ), with tan λ = l / (π·dm), from the lead l (mm), the mean diameter dm (mm) and the thread friction coefficient μ; the result is the fraction (shown in %) of input work that becomes useful work. The screw EFFICIENCY is the ratio between the useful work (raising the load, F·l per turn) and the input work (2π·TR per turn) — it measures how much of the applied energy is NOT wasted to thread friction. Power screws typically have LOW efficiency: single-lead square threads run around 30–40%, and fine threads (high self-locking) can fall below 20% — most of the energy is spent overcoming friction, not lifting the load. There is a fundamental trade-off: raising efficiency (larger lead angle, multiple starts, lower friction) reduces self-locking and force multiplication. Hence jack screws (which must self-lock and multiply force) are deliberately inefficient, while ball screws (recirculating, very low friction) reach 90% but do not self-lock. This formula neglects collar friction. Enter the lead, the mean diameter and the friction coefficient.
Power Screw Self-Locking Margin
Computes the self-locking margin of a power screw, m = μ − l/(π·dm), from the thread friction coefficient μ, the lead l (mm) and the mean diameter dm (mm). SELF-LOCKING is the property by which a screw does NOT let the load descend on its own when the drive is released — essential in jacks, vices, clamps and actuators that must SUSTAIN the load safely, without an external brake. The mathematical condition is μ ≥ tan λ, i.e. the friction coefficient must be greater than or equal to the tangent of the lead angle (tan λ = l/(π·dm)). This calculator gives the MARGIN m = μ − l/(π·dm): if m is POSITIVE (μ > tan λ), the screw is SELF-LOCKING (safe to hold a load); if m is ZERO, it is at the limit; if m is NEGATIVE, the screw is NON-self-locking and the load descends on its own (overhauling) — requiring a brake. The larger the positive margin, the more comfortable the locking safety. Note that self-locking depends ONLY on friction and geometry, not on the load: a self-locking screw is so with any weight. The price of self-locking is low efficiency (always < 50%). Checking this margin is mandatory when designing any load-holding screw device. Enter the friction coefficient, the lead and the mean diameter.
Power Screw Collar Torque
Computes the collar (thrust bearing) friction torque of a power screw, Tc = F·μc·dc/2, from the axial load F (N), the collar friction coefficient μc and the collar mean diameter dc (mm); the result is in N·mm. Besides the THREAD friction, every power screw transfers the axial load to a fixed support through a COLLAR (thrust ring) or thrust bearing that ROTATES against a bearing surface — and this contact generates an additional friction that must be overcome. The collar torque Tc is often a LARGE share of the total torque (sometimes larger than the thread's own!), because the collar diameter is usually large and the pure sliding friction (without the 'help' of the thread ramp) is direct. The formula F·μc·dc/2 assumes the load concentrated at the collar mean radius (uniform-friction model). The TOTAL torque to drive the screw is the SUM of the thread torque (raise or lower) PLUS this collar torque. Reducing Tc is the reason thrust BALL bearings are used instead of plain collars — they trade sliding friction for rolling friction, with much smaller μc. Enter the load, the collar friction coefficient and the collar diameter.
Screw Thread Bearing Pressure
Computes the bearing (contact) pressure on the threads of a power screw and its nut, p = F / (π·dm·h·n), from the axial load F (N), the mean diameter dm (mm), the thread contact height h (mm, equal to p/2 for the square thread) and the number of engaged threads n; the result is in MPa. When the screw transfers the load to the nut, the force distributes over the contact area of the engaged THREADS — and the resulting pressure is the criterion controlling the WEAR of the screw-nut pair. The area of each thread (seen from above as a circular ring) is approximately π·dm·h, and multiplying by the number of threads in contact n gives the total load-bearing area. Keeping the bearing pressure LOW is essential for durability: heavily worked screws (machine tools, intensive-cycle actuators) require p limited to tabulated allowable values for each material pair (e.g. steel-bronze: 10–17 MPa for continuous use). If the pressure is too high, the lubricant film breaks, with accelerated wear, galling and backlash. Pressure is reduced by increasing the number of engaged threads (longer nut) or the diameter. This is the key calculation for sizing the screw NUT. Enter the load, the mean diameter, the thread height and the number of threads.
Screw Thread Shear Stress
Computes the shear stress at the root of a power screw's threads, τ = F / (π·dr·b·n), from the axial load F (N), the root diameter dr (mm), the thread base width b (mm, equal to p/2 for the square thread) and the number of engaged threads n; the result is in MPa. Under the axial load, the thread teeth can fail by SHEAR — being 'stripped' from the root, as if the load cut the base of each thread. This is a failure mode distinct from bearing pressure (wear) and core tension: here what matters is the SHEAR resistance of the cylindrical section at the thread root. The shear-resisting area is the cylindrical surface at the root diameter, π·dr, times the thread base width b, times the number of engaged threads n. This stress is computed for the SCREW threads (at root diameter dr) and, separately, for the NUT threads (at the major diameter, with nut material) — the weaker link governs. The stress τ must stay below the material's allowable shear stress (≈ 0.5–0.577 of yield, with a safety factor). Insufficiently engaged threads (short nut) or weak material lead to thread 'stripping' — a common catastrophic failure in overloaded screws. Enter the load, the root diameter, the thread base width and the number of threads.
Spring Index
Computes the spring index, C = D/d, from the mean coil diameter D (mm) and the wire diameter d (mm). The spring index C is the ratio of coil diameter to wire thickness, and is the MOST important dimensionless parameter in characterising a helical spring — it governs stress, manufacturability and the Wahl correction factor. A LOW C ('thick' spring, wide wire relative to the coil, e.g. C < 4) produces highly concentrated stress on the inner face of the coil and is HARD to wind (the wire resists bending so tightly). A HIGH C ('thin and wide' spring, e.g. C > 12) yields fragile springs, prone to buckling and tangling, with large manufacturing scatter. The PRACTICAL recommended range is 4 ≤ C ≤ 12, with 6 to 10 ideal for most applications — a good balance of stress, cost and stability. The spring index feeds directly into the Wahl factor (which corrects stress concentration) and the shear stress. It is therefore the first quantity to set in spring design. Enter the mean coil diameter and the wire diameter.
Wahl Correction Factor
Computes the Wahl correction factor, Kw = (4C − 1)/(4C − 4) + 0.615/C, from the spring index C. When a helical spring is compressed, the shear stress in the wire is NOT uniform: it is HIGHER on the INNER face of the coil (smaller-radius side) due to two combined effects — the direct shear of the force and the CURVATURE of the coil, which 'crowds' the inner fibres. The Wahl factor Kw corrects the simple stress formula to include BOTH effects, giving the true peak stress at the inner fibre, where the spring actually fails. Kw is always GREATER than 1 and grows as the index C decreases (tighter springs have a more severe stress peak): for C = 6, Kw ≈ 1.25 (25% above nominal stress); for C = 10, Kw ≈ 1.14. Ignoring the Wahl correction UNDERESTIMATES the real stress and leads to springs that fail prematurely by fatigue. There is also the Bergsträsser factor (an equivalent alternative) and, for direct-shear-only calculations, the Ks factor (no curvature). Kw is the standard for static and fatigue stress in springs. Enter the spring index C.
Helical Spring Shear Stress
Computes the maximum shear stress in the wire of a helical spring, τ = Kw · 8·F·D / (π·d³), from the Wahl factor Kw, the axial force F (N), the mean coil diameter D (mm) and the wire diameter d (mm); the result is in MPa. This is the spring's DESIGN stress: the shear (torsional) effort the compression force generates in the wire, corrected by the Wahl factor to give the true peak at the inner fibre of the coil. The formula combines the twisting moment (F·D/2, since each coil acts like a twisted bar) with the wire geometry (section modulus πd³/16), giving the term 8FD/(πd³). The spring stress is VERY sensitive to the wire diameter d, which appears CUBED in the denominator: reducing d by 20% nearly DOUBLES the stress — hence the wire diameter is the most critical design variable. The computed stress is compared to the material's allowable shear stress (a fraction of the wire's tensile strength, which in turn depends on diameter — thin wires are stronger). For cyclically loaded springs, this stress feeds the FATIGUE analysis. It is the core strength calculation of any spring. Enter the Wahl factor, the force, the mean diameter and the wire diameter.
Spring Active Coils
Computes the number of active coils of a helical compression spring, Na = G·d⁴ / (8·k·D³), from the shear modulus G (MPa), the wire diameter d (mm), the desired spring rate k (N/mm) and the mean coil diameter D (mm). The ACTIVE coils are those that actually deform and store energy (the dead end coils, used only to seat the spring, are excluded). The number of active coils is the design parameter ADJUSTED to obtain the desired stiffness (spring rate k), once the material (G), wire (d) and coil (D) are chosen. The formula is the inverse of the spring-rate equation k = G·d⁴/(8·D³·Na): MORE coils → SOFTER spring (lower k); FEWER coils → STIFFER. Since d enters to the fourth power and D cubed, small changes in these diameters require large adjustments in Na. The result is usually rounded and then the end coils are added to obtain the TOTAL coil count (which sets the solid length and free length of the spring). Computing Na is the step that 'closes' the spring sizing for the target rate. Enter the modulus G, the wire diameter, the desired rate and the mean diameter.
Spring Solid Length
Computes the solid length of a helical compression spring, Ls = Nt · d, from the TOTAL number of coils Nt and the wire diameter d (mm); the result is in mm. The SOLID (or closed) length is the shortest possible length of the spring — the one it reaches when fully compressed and ALL coils touch, resting against one another (solid wires). In this state the spring can deform no further and acts as a rigid tube. Knowing Ls is essential for two design reasons: (1) it is the physical limit of the spring's travel — the working stroke must keep a safety CLEARANCE (clash allowance, typically 10–15%) before reaching solid, so it never 'bottoms out' in operation, which would generate huge stresses and failure; and (2) it sets the assembly geometry (the compressed spring occupies at least Ls). For circular-section wire with squared-and-ground ends, all Nt coils (active + end) contribute, hence Ls = Nt·d. The solid length, together with the free length and the maximum deflection, completes the spring's dimensional definition. Enter the total number of coils and the wire diameter.
Helical Spring Deflection
Computes the deflection (compression) of a helical spring under load, δ = 8·F·D³·Na / (G·d⁴), from the axial force F (N), the mean coil diameter D (mm), the number of active coils Na, the shear modulus G (MPa) and the wire diameter d (mm); the result is in mm. The deflection is how much the spring SHORTENS under the force F — the quantity linking force and motion and defining the spring's 'softness' in use. The formula derives from torsion theory (each coil is a bar twisted by the load): deflection grows with the force F, with the CUBE of the coil diameter D and with the coil count Na, and DECREASES strongly with the wire diameter (d to the fourth power) and the material stiffness G. The ratio δ/F is exactly the inverse of the spring rate (k = F/δ). This formula is used to: predict the spring travel under a given load; check that the working deflection fits the available stroke (with clearance to the solid length); and size springs for a target deflection. The sensitivity to wire diameter (d⁴) explains why small manufacturing variations in the wire change the spring behaviour so much. Enter the force, the mean diameter, the active coils, the modulus G and the wire diameter.
Spring Surge (Natural) Frequency
Computes the fundamental surge natural frequency of a helical spring with both ends seated against fixed plates, f = ½·√(k/m), from the spring rate k (N/m) and the mass of the spring's active part m (kg); the result is in Hz. SURGE is the resonance phenomenon in which the spring's COILS vibrate among themselves like waves travelling along the spring length — independent of the overall motion of the mass it supports. Every spring has a natural frequency associated with this internal vibration. The danger is RESONANCE: if the spring is excited by a periodic force (as in engine valves, where the cam opens and closes thousands of times per minute) whose frequency approaches the spring's natural one (or its harmonics), the coils enter violent oscillation — surge — generating stresses far above design, noise, loss of valve control (valve 'float') and fatigue failure. The rule of thumb is to design the spring so its natural frequency is at least 15 to 20 TIMES higher than the highest excitation frequency, keeping it far from resonance. Stiffer, lighter springs have a higher natural frequency. Checking surge is mandatory in valve springs and in any spring under fast cyclic loading. Enter the spring rate and the active mass.
Spring Wire Length
Computes the developed wire length of a helical spring, L = π·D·Nt, from the mean coil diameter D (mm) and the TOTAL number of coils Nt; the result is in mm. The wire length is simply the mean circumference of one coil (π·D) multiplied by the total number of coils — that is, the 'unrolled' length of wire that was wound to form the spring. Though it seems trivial, it is data of great PRACTICAL importance: (1) it determines the material CONSUMPTION per spring and hence the COST — fundamental in costing mass production of millions of springs; (2) it enters the spring MASS calculation (length × section area × density), which in turn sets the surge frequency; and (3) it is needed to program the coiling machine (how much wire to feed). The formula L = π·D·Nt neglects the small pitch (helix angle) effect, an excellent approximation for low-helix-angle springs (the vast majority). For very high-lead springs, the hypotenuse including the pitch is used. The wire length completes the spring's physical characterisation, linking geometry to cost and mass. Enter the mean coil diameter and the total number of coils.
Spring Safety Factor
Computes the safety factor of a helical spring under static load, n = Ssy / τ, from the material's shear yield strength Ssy (MPa) and the working shear stress τ (MPa). The safety factor measures how far the spring is from yielding (permanently deforming) under the operating load. The working stress τ is the one computed from the Wahl-corrected shear formula; the strength Ssy is a fraction of the wire's tensile strength (typically Ssy ≈ 0.35 to 0.52·Sut, depending on the material — music wire, stainless, etc.) — and this strength DEPENDS on the wire diameter: thinner wires, having fewer defects, are proportionally STRONGER (Sut vs d relation via each material's A and m coefficients). For static springs, typically n ≥ 1.2 is required (at maximum load) and it is also verified that the stress at SOLID length (fully compressed) does not cause yielding — a well-designed spring can be compressed solid without permanent damage. For cyclically loaded springs, a separate FATIGUE analysis (Goodman/Sines criteria) governs life. This factor is the spring's final strength check. Enter the shear yield strength and the working stress.
Sprocket Pitch Diameter
Computes the pitch diameter of a roller-chain sprocket, D = p / sin(180°/N), from the chain pitch p (mm) and the number of teeth N. In roller-CHAIN drives — used in motorcycles, bicycles, agricultural machinery, conveyors and industrial equipment — the chain rollers seat in the gaps between the sprocket teeth, forming an inscribed POLYGON of N sides (one per tooth). The PITCH diameter is the diameter of the circle passing through the centres of the engaged rollers — the sprocket's fundamental geometric quantity, equivalent to a gear's pitch diameter. Since the rollers form the vertices of a regular polygon, the pitch diameter follows the polygon geometry: D = p/sin(180°/N). The MORE teeth the sprocket has, the closer the polygon approaches a perfect circle, smoothing the engagement. This diameter is the basis for computing the chain velocity, the drive ratio and the mounting geometry. Sprockets with FEW teeth (< 17) generate vibration and wear from chordal action. Enter the chain pitch and the number of teeth.
Roller Chain Velocity
Computes the linear velocity of a roller chain, V = N·p·n / 60000, from the sprocket number of teeth N, the chain pitch p (mm) and the sprocket rotation n (rpm); the result is in m/s. The chain velocity is the speed at which the links move along the taut span — equivalent to the tangential speed at the pitch diameter. Since each turn of the sprocket 'pulls' N pitches of chain (N teeth × pitch p), and the sprocket turns n times per minute, the chain advances N·p·n mm per minute, converted to m/s by dividing by 60000. The chain velocity is a key design quantity: it sets the TENSION in the chain to transmit a given power (F = P/V — the faster the chain, the lower the force for the same power), influences the required lubrication (fast chains need an oil bath) and has a practical LIMIT (typically up to ~15 m/s for standard chains, above which centrifugal force and roller impact become problematic). Very low speeds, conversely, require more robust chains (higher force). Enter the number of teeth, the pitch and the rotation.
Chain Drive Ratio
Computes the transmission ratio of a roller-chain system, i = N2 / N1, from the driven sprocket number of teeth N2 and the driver sprocket (pinion) N1. The transmission ratio indicates how many times the rotational speed is REDUCED (or the torque multiplied) between input and output. Since the chain meshes positively on both sprockets (no slip, unlike friction belts), the ratio is EXACT and depends only on the number of TEETH — one of the great advantages of chain drives: it keeps synchronism (hence its use in engine timing, valve camshaft chains, and wherever phase accuracy matters). If i > 1, it is a REDUCTION (the driven sprocket turns slower and with more torque than the pinion); if i < 1, it is a speed MULTIPLICATION. The practical maximum ratio per stage is about 7:1 (above this the wrap angle on the pinion becomes too small, with few teeth engaged). For larger reductions, multiple stages are used. The transmission ratio is the starting point for designing any chain drive. Enter the driven and driver sprocket teeth.
Chain Length in Pitches
Computes the length of a roller chain in number of pitches, L = 2C + (N1+N2)/2 + (N2−N1)² / (4π²·C), from the centre distance C (in pitches), the pinion teeth N1 and the driven sprocket teeth N2. The chain length determines how many LINKS are needed to close the drive around the two sprockets, given the distance between their shafts. The formula has three intuitive parts: '2C' is the chain in the two straight spans (back and forth between the sprockets); '(N1+N2)/2' represents the chain wrapping the two sprockets (half of each); and the last term corrects for the size difference between the sprockets (the more different, the more the chain 'tilts'). The result is expressed in PITCHES (not mm) because the chain can only have an INTEGER number of links — and, in practice, it is rounded to an EVEN number of pitches to avoid an offset (transition) link, which is weaker. With L known in pitches, the physical length is L×p. This calculation is essential for cutting the chain to the right size and adjusting the centre distance (which should allow a slight sag/catenary). Enter the centre distance in pitches and the teeth of both sprockets.
Roller Chain Tension
Computes the tension force in the taut span of a roller chain, F = P / V, from the transmitted power P (W) and the chain velocity V (m/s); the result is in N. The chain tension is the force that actually transmits power from the driver to the driven sprocket through the TIGHT span (the top run, or 'tight side'), while the bottom run stays slack. The relation F = P/V comes straight from the definition of power (power = force × velocity): for a fixed POWER, the force is INVERSELY proportional to the chain velocity — a slow chain needs much more force (and hence a more robust/expensive chain) than a fast chain for the same power. Therefore, whenever possible, chain drives are designed with HIGH velocity (within the safe limit), minimising tension and allowing smaller chains. The computed tension is compared to the chain's BREAKING load (with a typical safety factor of 7 to 10 for adequate life) and to its fatigue capacity. There are additional tension components from centrifugal force (at high speeds) and the catenary weight, but the transmission tension F = P/V is dominant. Enter the power and the chain velocity.
Chordal Speed Variation
Computes the percentage speed variation caused by chordal action (polygon effect) in a roller chain, ΔV = [1 − cos(180°/N)]·100, from the sprocket number of teeth N; the result is in %. CHORDAL action (or polygon effect) is an intrinsic, undesirable feature of chain drives: since the rollers seat on the vertices of a POLYGON (not a circle), the effective radius where the chain meshes OSCILLATES between a maximum (at a tooth centre) and a minimum (between two teeth) every pitch. This makes the chain velocity PULSATE even with the sprocket turning at constant speed — generating vibration, noise, roller impact and output speed fluctuation. The amplitude of this pulsation, ΔV = 1 − cos(180°/N), depends ONLY on the number of teeth: with FEW teeth the variation is large (N=11 → ~4%), with MANY teeth it drops sharply (N=17 → ~1.7%; N=25 → ~0.8%). This is exactly why sprockets with AT LEAST 17 teeth are recommended — to keep chordal action and its consequences (vibration, wear, noise) at acceptable levels. This calculation directly quantifies the effect and guides the choice of minimum tooth count. Enter the sprocket number of teeth.
Chain Design Power
Computes the design power for selecting a roller chain, P_design = P · Ks, from the nominal power to transmit P (kW) and the service factor Ks. The DESIGN power is the 'uprated' power used to select the chain from the manufacturer's capacity tables — it embeds a margin for the real operating conditions, harsher than the ideal regime. The SERVICE factor Ks (typically 1.0 to 1.7+) translates the application's severity: it depends on the nature of the LOAD (smooth/uniform like fans → Ks≈1.0; moderate shocks like pumps and conveyors → Ks≈1.3; heavy shocks like crushers, presses and rolling mills → Ks≈1.5 or more) and the drive type (smooth electric motor vs. combustion engine with pulses). Multiplying the nominal power by the service factor gives the design power, with which one enters the table (also corrected by the pinion tooth count and the number of strands) to choose the chain pitch and series. Undersizing (ignoring the service factor) leads to premature failure by fatigue and wear; oversizing raises cost. The service factor is the heart of safe chain selection. Enter the nominal power and the service factor.
Sprocket Outside Diameter
Computes the outside (tip) diameter of a roller-chain sprocket, Do = p·(0.6 + cot(180°/N)), from the chain pitch p (mm) and the number of teeth N. The OUTSIDE diameter is the largest sprocket diameter, measured at the tooth tips — different from the pitch diameter, which passes through the roller centres. It is the diameter that defines the physical space the sprocket occupies (important for the casing, guards and mounting design) and the size of the raw disc to machine. The standard formula (ANSI/ISO) Do = p·(0.6 + cot(180°/N)) combines the pitch polygon geometry (the cotangent term) with the standardised tooth height above the pitch line (the 0.6·p term, derived from the normalised chain-tooth profile). Note that, unlike gears, the chain-sprocket tooth profile does not transmit motion by involute contact — the tooth merely positions and guides the roller, which does the work. The outside diameter grows with the pitch and the number of teeth. This value is needed for the sprocket manufacturing drawing and to check mounting interferences (e.g. clearance to the casing, distance between nearby sprockets). Enter the chain pitch and the number of teeth.
Driven Sprocket Speed
Computes the driven sprocket speed in a roller-chain system, n2 = n1·N1 / N2, from the driver sprocket speed n1 (rpm), the pinion teeth N1 and the driven sprocket teeth N2. Since the chain meshes positively on both sprockets and runs the same number of links per unit time on both (no slip), the number of teeth passing per second is equal on both sprockets — which links the speeds by the inverse ratio of tooth counts. The sprocket with FEWER teeth turns FASTER. If the pinion (driver) has fewer teeth than the driven one (N1 < N2), the output turns SLOWER than the input — a speed REDUCTION (and torque multiplication), the most common case. If the motor drives the larger sprocket, there is speed multiplication. This exact (slip-free) relation is the essence of the chain's advantage over friction belts: the output speed is PREDICTABLE and constant (apart from the small chordal action). Computing n2 is essential to verify that the output speed meets the driven machine's requirement (pump, conveyor, shaft) and to size the following transmission stages. Enter the driver speed and the teeth of both sprockets.
Beam Reaction from Moving Point Load
Computes the reaction at support A of a simply supported beam under a moving concentrated load, R_A = P·(L − a) / L, from the load P (kN), the distance a from support A to the load (m) and the span L (m). This is the direct application of the reaction's INFLUENCE LINE: as the moving load (a vehicle wheel, an overhead crane, a train) travels along the beam, the reaction at each support VARIES linearly with the load position. The influence line for R_A is a straight line equal to 1 when the load is over A (a=0 → R_A=P) and 0 when over B (a=L → R_A=0). By moment equilibrium about B, R_A = P·(L−a)/L. Knowing how the reaction varies with the load position is fundamental in designing bridges and structures with moving loads: the support (and its foundation) must be sized for the load position producing the MAXIMUM reaction — which, for a single load, occurs when it is directly over the support. For load trains, the contributions of each load at its position are summed. Influence lines are the master tool of moving-load analysis. Enter the load, the distance to support A and the span.
Moment Under a Moving Point Load
Computes the bending moment at the section under a moving concentrated load on a simply supported beam, M = P·a·(L − a) / L, from the load P (kN), the distance a from support A to the load (m) and the span L (m). When a concentrated load sits at a position a, the bending moment DIRECTLY UNDER it is P·a·(L−a)/L — the product of the two support reactions by their respective arms. This expression is a PARABOLA in the position a: it is zero when the load is at either support (a=0 or a=L) and MAXIMUM when the load is at MIDSPAN (a=L/2), where M = P·L/4. This behaviour shows a fundamental result of moving-load analysis: for a single concentrated load travelling along the beam, the largest moment it can cause at ANY section occurs when it is at the centre — and that is the absolute maximum moment that sizes the beam. Unlike the influence line (which fixes the SECTION and moves the load), here the critical section follows the load. This calculation is the basis for understanding why bridges and crane runway beams are designed with the moving load placed at midspan. Enter the load, the distance to support A and the span.
Max Moment — Two Equal Moving Loads
Computes the absolute maximum bending moment caused by two EQUAL moving loads on a simply supported beam, M_max = (2P/L)·(L/2 − d/4)², from each load value P (kN), their spacing d (m) and the span L (m). When TWO (or more) concentrated loads cross a beam together — like the two axles of a truck or the wheels of an overhead crane — finding the maximum moment is subtler than for a single load: the maximum does NOT occur with the loads at the centre, but at a position where the resultant of the set and the nearest load are SYMMETRICALLY offset from midspan (the Barré criterion / absolute-maximum-moment rule). For two equal loads spaced d apart, the maximum occurs under one of the loads when the midpoint between the load and the resultant coincides with the beam centre, giving M_max = (2P/L)·(L/2 − d/4)². The closer the loads (small d), the closer the result approaches a central double load; the farther apart, the smaller the maximum moment. This calculation is essential in bridge design for 'standard trains' (code vehicle models) and in crane runway beams, where multiple wheels act simultaneously. Enter each load value, the spacing and the span.
Moment at a Fixed Section (Influence Line)
Computes the bending moment at a FIXED section C (at a distance c from support A) caused by a moving load positioned to the RIGHT of the section, M_C = P·c·(L − a) / L, from the load P (kN), the section position c (m), the distance a of the load from support A (m, with a ≥ c) and the span L (m). This is the moment's INFLUENCE LINE at a specific section — a different tool from the moment under the load: here the SECTION is fixed (where we want to know the effort) and the load MOVES. The influence line for the moment at C is triangular, peaking at c·(L−c)/L when the load is exactly over C. For the load to the right of the section (a ≥ c), the influence-line ordinate is c·(L−a)/L, and the moment is P times that ordinate. Multiplying the ordinate by the load gives that load's contribution to the section moment. Influence lines let you find the load (or load train) position that MAXIMISES the effort at a critical section — for example, the moment at the middle of a bridge — by summing the contributions of several loads at their positions. It is the central technique of structural design under moving loads. Enter the load, the section position, the load position and the span.
Max Reaction — Two Moving Loads
Computes the maximum reaction at support A due to two moving loads, R_A,max = P1 + P2·(L − d) / L, from the front load P1 positioned over support A (kN), the rear load P2 (kN), their spacing d (m) and the span L (m). For a set of loads crossing the beam (a vehicle, a standard train, a two-wheel overhead crane), the MAXIMUM reaction at a support occurs when the largest load (or the most favourable configuration) is positioned OVER that support, with the remaining loads still within the span contributing according to their distance. Placing P1 directly over A (full contribution P1) and P2 at a distance d (contribution P2·(L−d)/L from the reaction's influence line), the total reaction is the sum. This is the value that sizes the SUPPORT, the bearing device (elastomeric, roller) and the bridge foundation/pier — all must withstand the vehicle passing at the most unfavourable position. For trains with more loads, the sum of each load's contribution at its position is repeated, testing which load over the support gives the largest reaction. Sizing bridge supports and piers depends directly on this calculation. Enter the load over the support, the rear load, the spacing and the span.
Highway Impact Coefficient
Computes the impact coefficient (dynamic amplification) of a highway bridge, I = 15.24 / (L + 38), from the loaded span L (m); the result is a dimensionless fraction. A vehicle does NOT cross a bridge statically and smoothly: it moves with speed, its wheels bounce over joints and pavement irregularities, its suspension oscillates, and the deck itself vibrates. These DYNAMIC effects make the real efforts in the structure LARGER than those computed assuming the load at rest — and the impact coefficient I quantifies this increase. Design efforts are obtained by multiplying the static efforts by (1 + I). The formula I = 15.24/(L+38) (a metric adaptation of the classic AASHTO expression, I = 50/(L+125) with L in feet) shows that impact DECREASES with span: SHORT bridges suffer a larger relative impact (small spans respond faster to dynamic loads — for L=10 m, I≈0.32), while LONG bridges, 'slower' and heavier, have less impact (for L=60 m, I≈0.16). Codes usually CAP the impact (e.g. I ≤ 0.30 in AASHTO). Each code (AASHTO, NBR 7188, Eurocode) has its own expression; this is the classic simplified form. The impact coefficient is a mandatory part of any bridge's loading. Enter the loaded span.
Dynamic Load with Impact
Computes the dynamic design load (or effort) from the static value and the impact coefficient, F_dyn = F_static·(1 + I), from the static effort F_static (any unit: kN, kN·m...) and the impact coefficient I (fraction). After computing the efforts a moving load would produce if it were AT REST (static moments, shears, reactions), the analysis of bridges and moving-load structures requires AMPLIFYING them to account for the real dynamic effects of the moving vehicle — vibration, wheel bounce, suspension oscillation. This amplification is done simply by multiplying the static effort by the factor (1 + I), where I is the impact coefficient of the applicable code (which depends on the span and the structure type). For example, a static moment of 100 kN·m with impact I = 0.25 becomes a design moment of 125 kN·m — 25% larger. This amplified dynamic effort is what is actually used to size and check the structure (stresses, reinforcement, deflections). Separating the static calculation (influence lines, critical positions) from the subsequent impact amplification is the standard procedure in all bridge codes. This calculator performs that final amplification, closing the bridge between static analysis and design effort. Enter the static effort and the impact coefficient.
Max Shear at Section — Moving UDL
Computes the maximum positive shear at a section C (at a distance c from support A) of a simply supported beam under a moving UNIFORMLY DISTRIBUTED load (lane/crowd load), V_C,max = w·(L − c)² / (2L), from the load intensity w (kN/m), the section position c (m) and the span L (m). In bridges, besides the concentrated vehicle loads (standard train), a DISTRIBUTED 'crowd' or 'lane' load is considered, which may occupy any extent of the deck. To maximise the shear at a section, this moving distributed load must cover ONLY the part of the span where the shear influence line has the SAME sign — for the positive shear at section C, this means loading only the stretch to the RIGHT of the section (from C to support B). The shear influence line at C is triangular over that stretch, and the integral (area × w) gives V = w·(L−c)²/(2L). Loading only the 'right' portion — not the whole beam — is what gives the CRITICAL effort (loading everything would give less). This principle of 'partial loading according to the influence-line sign' is one of the most important ideas in designing bridges and structures under moving distributed loads. Enter the load intensity, the section position and the span.
Load Train Resultant Position
Computes the resultant position of a two-load train, measured from the front load, x_R = P2·d / (P1 + P2), from the front load P1 (kN), the rear load P2 (kN) and their spacing d (m). When several moving loads cross a beam together (a two-axle truck, a standard train), the first step to find the absolute maximum moment is to locate the RESULTANT of the set — the single equivalent force with the same magnitude (sum of loads) and the same effect. The resultant position is the CENTROID of the loads, found by the weighted average of positions: for two loads, x_R = P2·d/(P1+P2) from the front load. Knowing the resultant is essential to apply the absolute-maximum-moment criterion (Barré's rule): the maximum moment occurs under the load CLOSEST to the resultant when the midpoint between that load and the resultant coincides with the span centre. So first the resultant is located, then the train is positioned so this symmetry holds, and then the moment is computed. The resultant position is therefore the geometric starting point of the entire maximum-moment analysis under multiple moving loads. Enter the two loads and the spacing.
Affinity Law — Flow vs Speed
Computes the new flow of a pump or fan when the speed changes, Q2 = Q1·(N2/N1), from the original flow Q1, the original speed N1 (rpm) and the new speed N2 (rpm). The AFFINITY LAWS (or similarity laws) govern how a centrifugal pump or fan's performance changes when the rotational speed is altered, keeping the same impeller. The first law states that FLOW is DIRECTLY proportional to speed: doubling the speed doubles the flow. This happens because flow depends on the impeller's peripheral velocity, which is proportional to rpm. This is the basis of flow control by VARIABLE-FREQUENCY DRIVE: instead of throttling flow with a valve (which wastes energy), the motor speed is reduced — which, combined with the power law (∝ N³), yields HUGE energy savings at partial loads (the main reason drives are used in pumping and HVAC ventilation systems). The three affinity laws (flow ∝ N, head ∝ N², power ∝ N³) are fundamental in sizing and operating fluid systems. Enter the original flow, the original speed and the new speed.
Affinity Law — Head vs Speed
Computes the new head (or pressure) of a pump or fan when the speed changes, H2 = H1·(N2/N1)², from the original head H1, the original speed N1 (rpm) and the new speed N2 (rpm). The second affinity law states that HEAD (or developed pressure) varies with the SQUARE of speed: doubling the speed QUADRUPLES the head. This follows from head being proportional to the square of the impeller's peripheral velocity (kinetic energy ∝ v²), which in turn is proportional to rpm. This law has important practical consequences: when reducing speed to save energy, pressure drops rapidly (with the square) — so there is a limit to how much the speed can be reduced while keeping the pressure needed to overcome the system's static head. Combining the pump curve (which shifts by the affinity laws) with the system curve (resistance ∝ Q²) defines the real operating point at each speed. Understanding the H ∝ N² law is essential to size the variable-speed drive and predict performance off the rated speed. Enter the original head, the original speed and the new speed.
Affinity Law — Power vs Speed
Computes the new power absorbed by a pump or fan when the speed changes, P2 = P1·(N2/N1)³, from the original power P1, the original speed N1 (rpm) and the new speed N2 (rpm). The third affinity law — the most economically important — states that POWER varies with the CUBE of speed: halving the speed reduces power to ONE EIGHTH (1/8)! This is because power is the product of flow (∝ N) and head (∝ N²), giving N³. This cubic relationship is why VARIABLE-FREQUENCY DRIVES yield spectacular energy savings in pumps and fans operating much of the time at partial load: reducing speed by just 20% (to 80%) already cuts power by ~50%. Compared to throttling control (valve or damper), which keeps the motor at full speed and merely wastes the excess energy, variable-speed control is dramatically more efficient. Hence modern pumping, air-conditioning (HVAC) and industrial ventilation systems use drives as standard. The P ∝ N³ law is the central argument for energy efficiency in fluid systems. Enter the original power, the original speed and the new speed.
Affinity Law — Flow vs Impeller Diameter
Computes the new flow of a pump when machining (trimming) the impeller diameter, Q2 = Q1·(D2/D1), from the original flow Q1, the original impeller diameter D1 and the new diameter D2. Besides speed change, the affinity laws also describe the effect of altering the IMPELLER diameter while keeping the speed constant — a common fine-tuning practice called 'impeller trimming'. Instead of replacing the pump or using a drive, the impeller's outer diameter is machined (reduced) to match the performance to the required operating point. The first law states that FLOW is proportional to diameter: reducing the diameter proportionally reduces the flow. Impeller trimming is an economical, permanent solution when a pump is oversized for the application (delivers excess flow/pressure, wasting energy and requiring throttling). There is a practical trimming limit (typically up to ~10-20% reduction) before efficiency drops too much, since trimming increases the clearance between impeller and volute. The three diameter laws (flow ∝ D, head ∝ D², power ∝ D³) guide the trimming. Enter the original flow, the original diameter and the new diameter.
Affinity Law — Head vs Impeller Diameter
Computes the new head of a pump when trimming the impeller diameter, H2 = H1·(D2/D1)², from the original head H1, the original impeller diameter D1 and the new diameter D2. Keeping the speed constant and reducing the impeller diameter (trimming), the HEAD (pressure) developed by the pump drops with the SQUARE of the diameter ratio — analogous to the H ∝ N² speed law. This is because head depends on the square of the impeller's peripheral velocity, which is proportional to diameter (at a given speed). Impeller trimming is often used specifically to reduce the excess PRESSURE of an oversized pump: when the pump delivers more head than needed, throttling with a valve wastes energy, while trimming the impeller reduces the pump curve permanently and efficiently. Since head drops with the square, small trims already reduce pressure noticeably. The result must be crossed with the system curve to find the new operating point. This law is essential in the procedure of selecting and adjusting centrifugal pumps by impeller trimming, very common in fluid engineering practice. Enter the original head, the original diameter and the new diameter.
Affinity Law — Power vs Impeller Diameter
Computes the new power absorbed by a pump when trimming the impeller diameter, P2 = P1·(D2/D1)³, from the original power P1, the original impeller diameter D1 and the new diameter D2. Keeping the speed constant and reducing the impeller diameter, the absorbed POWER drops with the CUBE of the diameter ratio — analogous to the P ∝ N³ speed law. This results from the product of flow (∝ D) and head (∝ D²). This cubic relationship means that impeller trimming, besides matching flow and pressure, also significantly REDUCES energy consumption (and may thus allow a smaller motor): trimming the diameter by 10% reduces power by about 27%. This is why replacing valve throttling (which keeps power high) with proper impeller trimming yields permanent energy savings in oversized pumps. The three diameter affinity laws (flow ∝ D, head ∝ D², power ∝ D³) form, together with the speed laws, the complete toolkit for predicting and adjusting turbomachine performance. Enter the original power, the original diameter and the new diameter.
Pump Specific Speed
Computes a pump's specific speed, Ns = N·√Q / H^0.75, from the speed N (rpm), the flow Q (m³/s) and the head H (m). Specific speed is a dimensionless (or semi-dimensional, depending on the unit system) parameter that CHARACTERISES the impeller type best suited to a given combination of flow, head and speed — independent of pump size. It is one of the most powerful tools of turbomachine selection, since it groups the three key variables into a single number that points to the ideal impeller GEOMETRY. LOW Ns values indicate RADIAL impellers (pure centrifugal), which produce HIGH pressure and LOW flow (e.g. high-pressure, multistage pumps). HIGH values indicate AXIAL (propeller-type) impellers, giving HIGH flow and LOW pressure (e.g. drainage, circulation pumps). Intermediate values correspond to MIXED-flow (semi-axial) impellers. Specific speed also correlates with the maximum attainable EFFICIENCY (there is an optimal Ns range for best efficiency) and guides the designer to choose the right pump type from the start. It is a central concept of pump and fan engineering. Enter the speed, the flow and the head.
NPSH Available
Computes the available NPSH (Net Positive Suction Head available) of a pumping installation, NPSHa = H_atm − H_vap − H_s − H_f, from the atmospheric pressure head H_atm (m), the liquid vapour pressure head H_vap (m), the static suction lift H_s (m, positive if the pump is above the liquid level) and the suction friction loss H_f (m). The available NPSH is the energy (in liquid column height) remaining at the pump inlet ABOVE the liquid's vapour pressure — that is, the margin preventing the liquid from BOILING (vaporising) at the suction. If the pressure at any point of the suction drops below the vapour pressure, vapour bubbles form and violently implode when reaching higher-pressure zones inside the pump: this is CAVITATION, which causes noise, vibration, performance drop and erosive DAMAGE to the impeller. To avoid cavitation, the golden rule is available NPSH > required NPSH (the latter provided by the pump manufacturer), with a safety margin. NPSHa is determined by the INSTALLATION (altitude, liquid temperature, suction height and losses), not the pump. NPSHa is increased by reducing the suction lift, shortening/widening the suction pipe or lowering the temperature. It is a critical calculation in designing any pumping system. Enter the four heads.
Suction Specific Speed
Computes a pump's suction specific speed, Nss = N·√Q / NPSH^0.75, from the speed N (rpm), the flow Q (m³/s) and the required NPSH (m). Suction specific speed is analogous to specific speed, but uses NPSH in place of head — and characterises the pump's performance regarding CAVITATION, i.e. its ability to operate with low suction pressure without cavitating. It is a key indicator of the quality of the impeller inlet (eye) design. HIGHER Nss values indicate impellers able to suck with lower required NPSH (better suction performance), but there is a limit: impellers with very high Nss (above ~8500-11000 in US units, or equivalent SI ranges) tend to have a narrow STABLE operating range, suffering recirculation and hydraulic instabilities away from the best-efficiency point. Hence reliability standards (such as those of refineries) LIMIT the maximum admissible Nss when selecting critical pumps, favouring operational robustness over extreme suction performance. Suction specific speed is thus a tool for assessing cavitation risk and stability. Enter the speed, the flow and the required NPSH.
Saturation Vapor Pressure
Computes the saturation vapor pressure of water in air, by the Tetens/Magnus equation, Psat = 0.61078·exp(17.27·T / (T + 237.3)), from the air temperature T (°C); the result is in kPa. The saturation pressure is the maximum partial pressure the water vapor can have in air at a given temperature — the point where the air is fully SATURATED (100% relative humidity) and any additional vapor condenses. It GROWS exponentially with temperature: warm air 'holds' MUCH more vapor than cold air (Psat at 30°C is about four times that at 10°C). This exponential behavior is the basis of all psychrometrics and explains everyday phenomena: why dew and fog form on cooling at night (the air cools, Psat drops, vapor condenses), why air conditioning removes water (cools the air below the dew point), and why hot, humid days are so uncomfortable. The saturation pressure is the starting point of virtually all psychrometric calculations — relative humidity, humidity ratio, dew point — in air conditioning (HVAC), drying, meteorology and thermal comfort. Enter the air temperature.
Partial Vapor Pressure
Computes the partial pressure of water vapor in air, Pv = (RH/100)·Psat, from the relative humidity RH (%) and the saturation vapor pressure Psat (kPa); the result is in kPa. The partial vapor pressure is the 'slice' of total atmospheric pressure due to the water vapor present in the air — a DIRECT measure of the actual amount of moisture in the air, unlike relative humidity, which is just a percentage of the maximum possible. The relation Pv = (RH/100)·Psat comes from the very definition of relative humidity, which is the ratio between the vapor present (Pv) and the maximum vapor the air could hold at that temperature (Psat). For example, air at 50% relative humidity has a partial vapor pressure equal to half the saturation pressure. The partial vapor pressure is the quantity that governs the DIRECTION of moisture exchange: water evaporates from where Pv is high to where it is low, regardless of temperature. It is essential to compute the humidity ratio, the dew point and vapor diffusion through walls (important in insulation and preventing condensation/mould in buildings). Enter the relative humidity and the saturation pressure.
Humidity Ratio (Mixing Ratio)
Computes the humidity ratio (specific humidity) of moist air, W = 0.622·Pv / (P − Pv), from the partial vapor pressure Pv (kPa) and the total atmospheric pressure P (kPa); the result is shown in grams of vapor per kilogram of dry air (g/kg). The humidity ratio is the mass of water vapor per unit mass of DRY AIR — the most ABSOLUTE and useful measure of humidity in engineering, since, unlike relative humidity, it does NOT change when the air is merely heated or cooled (with no gain or loss of water). The factor 0.622 is the ratio between the molar mass of water (18) and that of dry air (29). The humidity ratio is the key quantity of air-conditioning processes: heating or cooling air (without condensing) keeps W constant (a horizontal line on the psychrometric chart); humidifying increases W; dehumidifying (cooling below the dew point) decreases W, and the condensed water is exactly the change in W times the air flow. So sizing cooling coils, humidifiers and drying systems depends directly on the humidity ratio. It is one of the two axes of the psychrometric chart. Enter the partial vapor pressure and the atmospheric pressure.
Moist Air Enthalpy
Computes the specific enthalpy of moist air, h = 1.006·T + W·(2501 + 1.86·T), from the air temperature T (°C) and the humidity ratio W (kg of vapor per kg of dry air); the result is in kJ per kg of dry air. Enthalpy is the total ENERGY content of moist air per unit mass of dry air — the sum of SENSIBLE heat (associated with temperature) and LATENT heat (associated with the water vapor present). The first term (1.006·T) is the sensible heat of dry air; the second (W·(2501 + 1.86·T)) is the vapor energy, dominated by water's huge latent heat of vaporization (2501 kJ/kg). Enthalpy is the CENTRAL quantity for sizing air-conditioning (HVAC) systems, because a coil's thermal load (the power it must supply or remove) is simply the air mass flow times the CHANGE in enthalpy between inlet and outlet — capturing at once the cooling (sensible heat) and the dehumidification (latent heat). Air-conditioning processes are represented as paths on the psychrometric chart, and enthalpy is one of its coordinates (sloped lines). Computing enthalpy is the decisive step in determining air-conditioning equipment capacity. Enter the temperature and the humidity ratio.
Moist Air Specific Volume
Computes the specific volume of moist air, v = 0.2871·(T + 273.15)·(1 + 1.6078·W) / P, from the air temperature T (°C), the humidity ratio W (kg/kg) and the atmospheric pressure P (kPa); the result is in m³ per kg of dry air. The specific volume is the volume occupied per unit mass of dry air — the inverse of density — and is essential to convert between VOLUMETRIC flow (m³/s, m³/h, what fans and ducts 'move') and MASS flow (kg/s, what matters for the energy balance and thermal-load calculations). The formula derives from the ideal-gas equation applied to the dry-air–vapor mixture, with the dry-air constant (0.2871 kJ/kg·K) and the correction (1 + 1.6078·W) accounting for the vapor present (lighter than dry air, making moist air slightly less dense). The specific volume INCREASES with temperature (warm air is less dense, hence convection and the stack effect) and with humidity, and DECREASES with pressure (altitude). In HVAC design, the specific volume is used to size ducts and fans and to correct equipment capacity at altitude (where thin air reduces the mass flow for the same volumetric flow). It is the third key property of the psychrometric chart. Enter the temperature, the humidity ratio and the pressure.
Relative Humidity from Vapor Pressures
Computes the relative humidity of air, RH = (Pv / Psat)·100, from the partial vapor pressure Pv (kPa) and the saturation vapor pressure Psat (kPa); the result is in %. Relative humidity is the public's best-known humidity measure — it is the ratio, in percent, between the amount of vapor ACTUALLY present in the air (Pv) and the MAXIMUM it could hold at that temperature before saturating (Psat). RH of 100% means saturated air (any cooling causes condensation/dew); RH of 0% would be perfectly dry air. Relative humidity governs human thermal COMFORT (ideal range 40–60%), the feeling of heat (high RH prevents sweat evaporation, hence the discomfort on 'muggy' days), the preservation of food and artworks, mould formation (high RH) and the drying of skin and mucous membranes (low RH). It is crucial to understand that relative humidity DEPENDS on temperature: since Psat grows with temperature, HEATING the air (without adding water) LOWERS the relative humidity, even with the same amount of vapor — which is why heated indoor air in winter is dry. This is the fundamental way to compute RH from vapor pressures. Enter the partial vapor pressure and the saturation pressure.
Degree of Saturation
Computes the degree of saturation of moist air, μ = W / Ws, from the actual humidity ratio W and the saturation humidity ratio Ws (both in the same unit, e.g. g/kg). The degree of saturation is the ratio between the air's actual ABSOLUTE humidity (humidity ratio W) and the absolute humidity the air would have if SATURATED at the same temperature and pressure (Ws). It is a close cousin of relative humidity, but based on the HUMIDITY RATIOS (vapor masses) rather than the vapor pressures — and is therefore numerically slightly different from relative humidity (though very close under normal conditions). While relative humidity compares PRESSURES (RH = Pv/Psat), the degree of saturation compares the absolute vapor amounts (μ = W/Ws). The degree of saturation appears in more rigorous psychrometric formulations and in the definition of some thermodynamic properties of moist air. It ranges between 0 (dry air) and 1 (saturated air), and is an intuitive measure of 'how full of moisture' the air is in mass terms. It is useful in air-conditioning, drying and processes where the MASS transfer of water (not just pressure) is the focus. Enter the actual humidity ratio and the saturation humidity ratio.
Moist Air Density
Computes the density (mass per volume) of moist air, ρ = (P − 0.378·Pv) / (0.287·(T + 273.15)), from the atmospheric pressure P (kPa), the partial vapor pressure Pv (kPa) and the temperature T (°C); the result is in kg/m³. The moist-air density is the mass of air (dry + vapor) per unit volume — a fundamental property for sizing fans, ducts, chimneys and for all mass-flow calculations in air conditioning and ventilation. The formula derives from the gas law applied to the mixture, and the term '−0.378·Pv' captures a curious, counterintuitive fact: MOIST air is LESS dense than dry air at the same temperature and pressure! This is because the water molecule (molar mass 18) is LIGHTER than the N₂ (28) and O₂ (32) molecules it replaces in the air — so adding vapor 'lightens' the air. (This is why moist air rises and is associated with atmospheric instability and storm formation.) Density DECREASES with temperature and humidity, and INCREASES with pressure. In HVAC, density is used to correct equipment capacity and fan performance under different air conditions, and is the inverse of the specific volume. Enter the atmospheric pressure, the partial vapor pressure and the temperature.
Saturation Humidity Ratio
Computes the saturation humidity ratio of air, Ws = 0.622·Psat / (P − Psat), from the saturation vapor pressure Psat (kPa) and the total atmospheric pressure P (kPa); the result is shown in g of vapor per kg of dry air (g/kg). The SATURATION humidity ratio is the MAXIMUM amount of water vapor (per kg of dry air) the air can hold at a given temperature and pressure before it begins to condense — that is, the air's 'moisture capacity'. It is computed with the same formula as the ordinary humidity ratio, but using the SATURATION pressure (the maximum vapor) instead of the actual partial pressure. Since Psat grows exponentially with temperature, the saturation humidity ratio does too: warm air holds much more moisture than cold air (at 35°C air can hold over 35 g/kg; at 5°C, less than 6 g/kg). This value is the reference against which the degree of saturation (μ = W/Ws) is measured and is fundamental to understanding dehumidification: when air is cooled, its Ws drops; if the actual humidity W exceeds the new Ws, the excess CONDENSES. It is the basis for sizing cooling coils and dehumidifiers, and for predicting condensation on cold surfaces. Enter the saturation pressure and the atmospheric pressure.
Room Index (Cavity Ratio)
Computes the room index (or room cavity ratio in a related form), K = (C·L) / (h·(C + L)), from the room length C (m), the width L (m) and the luminaire mounting height above the work plane h (m). The room index is a dimensionless number characterising a room's GEOMETRY for lighting design by the lumen method. It expresses the relationship between the floor dimensions (which receive and reflect light) and the luminaire height — the larger K, the 'lower and wider' the room relative to the luminaire height, and the more efficiently the emitted light reaches the work plane (less light lost on the walls). The room index is the fundamental INPUT for determining the utilization factor (Uf) from luminaire-manufacturer tables: for a given K and given ceiling, wall and floor reflectances, the table gives the fraction of emitted luminous flux that actually reaches the working plane. Large rooms with low ceilings (high K) use light better; narrow, tall rooms (low K) waste more on the walls. Computing K is the first step of any lumen-method lighting design. Enter the length, the width and the mounting height.
Average Illuminance (Lumen Method)
Computes the maintained average illuminance in a room by the lumen method, E = (Φ_total·Uf·Mf) / A, from the total installed luminous flux Φ_total (lumens), the utilization factor Uf, the maintenance factor Mf and the work-plane area A (m²); the result is in lux. This is the CENTRAL equation of the lumen method, the standard interior-lighting design procedure. It determines how much light (illuminance, in lux) actually reaches the work plane from the total installed lumens, discounting two unavoidable losses: the UTILIZATION factor Uf (fraction of emitted flux reaching the working plane — the rest is lost on the walls, ceiling and the luminaire itself; it depends on the room index and reflectances) and the MAINTENANCE factor Mf (accounting for depreciation over time: lamp ageing, dirt accumulation on luminaires and surfaces). The computed illuminance must reach the value recommended by code for the task (e.g. EN 12464 / ISO 8995 — 500 lux for offices, 300 for circulation, 750+ for fine work). This formula lets you check whether an installation meets the required level or, inverted, size the number of luminaires. It is the heart of lighting design. Enter the total flux, the utilization and maintenance factors and the area.
Required Total Luminous Flux
Computes the total luminous flux required to light a room, Φ_total = (E·A) / (Uf·Mf), from the desired illuminance E (lux), the work-plane area A (m²), the utilization factor Uf and the maintenance factor Mf; the result is in lumens. This is the INVERTED form of the lumen-method equation, used in SIZING a lighting design: you start from the illuminance level REQUIRED by code for the activity (E, in lux) and the area to be lit, and compute how many lumens in total must be installed — already compensating, by dividing by Uf and Mf, for the utilization and depreciation losses. The result (Φ_total) is the gross amount of light the luminaire set must emit. Then, dividing Φ_total by each luminaire's flux gives the NUMBER of luminaires needed. This calculation is the sizing step of the lumen method — after characterising the room (room index) and obtaining the factors from tables, it converts the illuminance target into a concrete amount of lumens to install. It is fundamental to designing the lighting of offices, classrooms, factories, shops and any indoor space. Enter the desired illuminance, the area and the utilization and maintenance factors.
Number of Luminaires
Computes the number of luminaires required for a lighting design, N = Φ_total / Φ_luminaire, from the total required luminous flux Φ_total (lumens) and each luminaire's luminous flux Φ_luminaire (lumens). This is the FINAL sizing step of the lumen method: after computing the total lumens the room requires (already compensating for utilization and maintenance factors), this total is divided by the flux ONE luminaire emits, giving the number of luminaires to install. The result is almost always fractional and must be ROUNDED UP (to ensure the minimum illuminance level) or adjusted to a number allowing a UNIFORM, symmetrical ceiling layout (for example, a rectangular array of rows and columns) — uniformity is as important as the average level, and codes require a minimum uniformity (E_min/E_avg). Each luminaire's flux Φ_luminaire already accounts for the number of lamps per luminaire and the luminaire's optical efficiency. With N known, the spacing between luminaires is checked (limited by the spacing-to-height ratio to ensure uniformity) and the layout is finalised. This calculation concludes the lumen method, delivering the concrete number of light points of the design. Enter the total required flux and each luminaire's flux.
Lighting Power Density
Computes the lighting power density (LPD), LPD = P_total / A, from the total installed lighting electrical power P_total (W) and the room area A (m²); the result is in W/m². Lighting power density is the key indicator of a lighting design's ENERGY EFFICIENCY — how much electrical power is consumed per square metre to reach the desired illuminance level. Building energy-efficiency codes and standards (such as ASHRAE 90.1 and various green certifications) set MAXIMUM LPD values per space type (e.g. offices, classrooms, shops), which designs must respect to be approved or certified. A low LPD indicates an efficient design: use of high-efficacy lamps (LED, with 100+ lm/W, instead of incandescent at ~15 lm/W), luminaires with good optical efficiency, daylight harvesting and controls (sensors, dimming). Reducing LPD while keeping adequate illuminance saves energy, reduces the thermal load (less lamp heat, easing the air conditioning) and lowers operating costs. LPD is therefore an essential indicator both for code compliance and for sustainability. Enter the total installed power and the area.
Illuminance — Inverse Square Law
Computes the illuminance at a point by the inverse square law, E = I / d², from the source luminous intensity I (candelas, cd) and the source-to-point distance d (m); the result is in lux. The inverse square law is the fundamental principle of point photometry: the illuminance (light reaching a surface) produced by a point source DECREASES with the SQUARE of the distance. Doubling the distance reduces the illuminance to a QUARTER; tripling it, to a ninth. This happens because the luminous flux emitted by the source spreads over an area that grows with the square of the radius (a sphere's surface, 4πd²). The luminous intensity I (in candelas) characterises how concentrated the source's emitted light is in a given direction. This law is the basis of the POINT-BY-POINT lighting calculation method — an alternative to the lumen method — used when the illuminance at specific points is needed (not the room average), as in accent lighting, floodlights, street poles, sports and façade lighting. It holds for light striking perpendicularly; for oblique incidence, multiply by the cosine of the angle (cosine law). It is indispensable in outdoor and accent lighting design. Enter the luminous intensity and the distance.
Illuminance — Cosine Law
Computes the illuminance on a surface accounting for the incidence angle, E = I·cos(θ) / d², from the source luminous intensity I (candelas, cd), the incidence angle θ (degrees, measured from the surface normal) and the source-to-point distance d (m); the result is in lux. The cosine law (Lambert's law) generalises the inverse square law to the much more common practical case where light does NOT strike perpendicular to the surface. When the rays arrive INCLINED, the same amount of light spreads over a LARGER surface area, reducing illuminance by the factor cos(θ): grazing light (θ near 90°) illuminates very little, while perpendicular light (θ = 0°, cos = 1) is maximal. This is why the overhead Sun heats and lights much more than the low Sun on the horizon, and why polar regions receive less solar energy. In lighting design, the cosine law is essential in the point-by-point method to compute floor illuminance from ceiling-mounted luminaires: points directly below the luminaire (small θ) receive more light than distant points (large θ), which explains the illuminance variation and the importance of luminaire spacing and distribution. Enter the luminous intensity, the incidence angle and the distance.
Lighting Maintenance Factor
Computes the maintenance factor of a lighting installation, Mf = LLMF·LMF, from the lamp lumen maintenance factor LLMF (ageing) and the luminaire dirt depreciation factor LMF. The maintenance factor (also called depreciation factor or Light Loss Factor) quantifies the LOSS of illuminance occurring over the installation's life — a NEW, clean luminaire delivers much more light than the same old, dirty luminaire. Therefore, lighting is designed for the MAINTAINED condition (the worst, at the end of the maintenance cycle), applying the factor Mf (< 1) to the calculation. The factor combines two main losses: (1) the lamp LUMEN DEPRECIATION, as lamps emit fewer lumens as they age (LLMF), and (2) the DIRT ACCUMULATION on luminaires and reflectors, blocking part of the light (LMF) — this depends on the room cleanliness (clean office vs. dusty factory) and the cleaning frequency. Typical Mf values range from 0.8 (clean room, regular maintenance) to 0.5 (dirty room, little maintenance). A low Mf forces installing MORE luminaires to guarantee the minimum level at end of life. Estimating the maintenance factor well is essential to avoid undersizing the lighting. Enter the two depreciation factors.
Max Luminaire Spacing
Computes the maximum spacing between luminaires to ensure uniformity, S_max = SHR·h, from the spacing-to-height ratio SHR (provided by the luminaire manufacturer) and the luminaire mounting height above the work plane h (m); the result is in metres. In a lighting design, installing the right amount of lumens is not enough — they must be well DISTRIBUTED so the illuminance is UNIFORM, without bright patches under the luminaires and dark zones between them. The spacing-to-height ratio (SHR) is a characteristic of each luminaire model (depending on its photometric distribution — wide-beam luminaires allow larger spacing): it indicates the maximum ratio between the distance between adjacent luminaires and the mounting height that still maintains acceptable uniformity. Multiplying the SHR by the mounting height gives the MAXIMUM physical spacing allowed between luminaires. If the layout requires spacing larger than S_max, there will be dark zones (poor uniformity, failing the code); then more closely spaced luminaires or wider-distribution luminaires are needed. This calculation, together with the number of luminaires, defines the ARRAY (rows × columns) on the ceiling. It is essential for visual quality and meeting uniformity requirements. Enter the spacing-to-height ratio and the mounting height.
Total Sound Absorption
Computes the total sound absorption of a surface, A = S·α, from the surface area S (m²) and the material's sound absorption coefficient α (between 0 and 1); the result is in square metres of absorption (metric sabins). Total sound absorption is the fundamental quantity of room acoustics: it measures how much a surface (or a whole room, summing all surfaces) 'swallows' sound energy instead of reflecting it. A material's absorption coefficient α ranges from 0 (perfect reflector, like smooth concrete or glass — α≈0.02) to 1 (perfect absorber, like an open window or thick acoustic panels — α≈0.9+). Porous and fibrous materials (rock wool, acoustic foam, carpet, curtains) have high absorption; hard, smooth surfaces have low. A room's total absorption is the SUM of the absorptions of all its surfaces (A = Σ Si·αi), including furniture and people. From it one computes the reverberation time (Sabine's formula), the reverberant-field noise level and the effectiveness of acoustic treatment. Increasing total absorption is the way to 'dampen' a space, reducing echo, reverberation and noise. It is the starting point of any room-acoustics design. Enter the area and the absorption coefficient.
Average Absorption Coefficient
Computes the average sound absorption coefficient of a room with two surfaces, ᾱ = (S1·α1 + S2·α2) / (S1 + S2), from the areas S1 and S2 (m²) and their respective absorption coefficients α1 and α2. The AVERAGE absorption coefficient is the area-weighted mean of the absorption coefficients of all a room's surfaces — a way to summarise in a single number how absorbent the room is as a whole, weighting each material by the area it occupies. It is an essential quantity because most rooms combine VERY different materials: masonry walls (low absorption), carpeted floor (medium), acoustic ceiling (high), windows, furniture. The average coefficient captures the combined effect. It feeds directly into important room-acoustics formulations: Eyring's reverberation-time formula (more accurate than Sabine's for highly absorbent rooms), the room-constant calculation and the reverberant-field assessment. This calculator handles the two-surface case, but the principle extends to any number (always the sum of Si·αi divided by the sum of areas). A typical 'live' (reverberant) room has a low average coefficient (0.1–0.2); a 'dead' (treated, like a studio) room, high (0.4+). Enter the two areas and their absorption coefficients.
Room Constant
Computes the room constant, R = S·ᾱ / (1 − ᾱ), from the total surface area S (m²) and the average absorption coefficient ᾱ. The room constant is an acoustic parameter characterising a room's ability to control REVERBERANT sound — the LARGER R, the 'deader' (more absorbent) the room and the lower the noise level accumulated by reflections. Unlike simple total absorption, the room constant accounts for the fact that, in highly absorbent rooms, the relationship is not linear (hence the (1−ᾱ) term in the denominator). The room constant is fundamental to predicting the sound pressure level in an enclosed space: far from the source, sound does not decay indefinitely as in free field, but stabilises at a constant REVERBERANT level determined by R — the larger R, the lower that plateau. So increasing the room constant (by adding absorption) is the strategy to reduce machinery noise in industrial sheds and echo in gyms, restaurants and open offices. R also defines the critical distance (where the direct and reverberant fields are equal). It is a key concept of enclosed-space noise control. Enter the total surface area and the average absorption coefficient.
Critical Distance (Acoustics)
Computes the critical distance in an enclosed space, Dc = 0.141·√(Q·R), from the source directivity factor Q and the room constant R (m²); the result is in metres. The critical distance (or critical radius) is the distance from the sound source at which the DIRECT sound level (arriving straight from the source) EQUALS the REVERBERANT sound level (accumulated by wall reflections). It is a fundamental conceptual boundary of room acoustics: CLOSER to the source than the critical distance, the DIRECT field dominates — sound behaves almost as in free field, decaying 6 dB per doubling of distance, and intelligibility is good; FARTHER than the critical distance, the REVERBERANT field dominates — the sound level stays practically constant (moving away further does not help), and intelligibility worsens from excess reflections. The directivity factor Q describes how concentrated the source emission is (Q=1 omnidirectional, Q=2 on the floor, Q=4 in a corner). The critical distance guides the placement of listeners, microphones and loudspeakers, and the design of sound-reinforcement systems: in reverberant rooms (small R), the critical distance is short, and beyond it no volume boost improves intelligibility — the acoustics must be treated or distributed loudspeakers used. Enter the directivity factor and the room constant.
Mass Law Transmission Loss
Computes the sound transmission loss of a wall by the mass law, TL = 20·log₁₀(f·m) − 47, from the sound frequency f (Hz) and the wall's surface mass m (kg/m²); the result is in decibels (dB). Transmission Loss measures how much a wall or partition ISOLATES sound — the difference, in dB, between the sound level on one side and what passes through to the other. The MASS LAW is the fundamental principle of sound insulation: the HEAVIER (greater mass per m²) the wall, the more it isolates — because mass means inertia, and it is hard for the sound wave to vibrate (and thus re-radiate) a heavy wall. The law shows two crucial facts: (1) insulation increases about 6 dB per DOUBLING of mass (or frequency) — which is why concrete walls isolate far more than drywall; and (2) insulation is LOWER at low frequencies (bass passes through more easily, explaining why you hear the neighbour's 'thump-thump' bass but not the treble). For high insulation, either much mass is used (expensive and heavy) or DOUBLE-wall solutions with an air cavity are used (which beat the mass law). The mass law is the basis for designing sound insulation of walls, floors and façades. Enter the frequency and the surface mass.
Noise Reduction Between Rooms
Computes the real noise reduction between two rooms separated by a wall, NR = TL + 10·log₁₀(A / S), from the wall's transmission loss TL (dB), the receiving room's total sound absorption A (metric sabins) and the partition area S (m²); the result is in dB. Noise Reduction is the EFFECTIVE sound-level difference obtained between the source room (where the noise is) and the receiving room — what actually matters for the comfort of those on the other side. It depends on TWO factors: the wall's transmission loss TL (how much the wall isolates, by the mass law) AND the receiving room's absorption. The second term, 10·log₁₀(A/S), reveals a subtle but important point: even with an excellent wall, if the receiving room is very REFLECTIVE (little absorption, small A), the leaked sound gets 'trapped' reverberating and the level rises; whereas a well-ABSORBENT receiving room (large A, with acoustic treatment) 'kills' the entering sound, increasing the noise reduction. So insulation between spaces depends not only on the wall but also on the acoustic treatment of the room to be protected. This calculation is essential in designing insulation for bedrooms, meeting rooms, studios, clinics and in acoustic-comfort assessments. Enter the transmission loss, the receiving room's absorption and the wall area.
Noise Reduction by Added Absorption
Computes the noise-level reduction achieved by adding acoustic absorption to a room, ΔL = 10·log₁₀(A2 / A1), from the total sound absorption BEFORE treatment A1 and AFTER A2 (both in metric sabins); the result is in dB. When an enclosed space is very reverberant (hard walls, little absorption), the noise from internal sources — machines, voices, equipment — accumulates through reflections, raising the sound level in the reverberant field. Adding ABSORBENT materials (acoustic ceilings, panels, suspended baffles, carpet) increases the total absorption and REDUCES this level. The formula ΔL = 10·log₁₀(A2/A1) quantifies this reduction: it depends on the RATIO between the final and initial absorption. An important point the logarithmic formula reveals is DIMINISHING RETURNS: DOUBLING the absorption (A2 = 2·A1) reduces noise by only 3 dB; to reduce 10 dB the absorption would have to be multiplied by 10. So treating an already fairly absorbent room brings little gain, while treating a 'raw', reverberant room brings a significant gain in the first interventions. This is the tool to estimate the benefit of acoustic treatment in industrial sheds (occupational noise control), restaurants, open offices and gyms. Enter the absorption before and after treatment.
Free-Field Sound Pressure Level
Computes the sound pressure level at a distance from a free-field source, Lp = Lw − 20·log₁₀(r) − 11, from the source sound power level Lw (dB) and the distance to the source r (m); the result is in dB. In FREE FIELD (outdoors, without reflections — or within the critical distance in a room), the sound radiated by a point source spreads spherically, and its sound pressure level DECAYS with distance. The formula relates the sound POWER level Lw (a fixed property of the source, how much sound energy it emits in total) to the sound PRESSURE level Lp (what a receiver measures at a distance r). The term −20·log₁₀(r) translates the inverse square law into decibels: the level drops 6 dB per DOUBLING of distance (going from 1 m to 2 m reduces 6 dB; from 2 to 4, another 6 dB). The constant −11 comes from the spherical-propagation geometry (4π). This formula is fundamental in environmental and occupational noise control: it predicts the noise level of a machine, equipment or source (compressor, generator, road) at any distance, sizes hearing-protection zones, checks compliance with neighbourhood noise limits and guides the necessary setback of noisy sources. It is the basis of outdoor environmental acoustics. Enter the sound power level and the distance.
Background Noise Subtraction
Computes the real sound level of a source, discounting the background noise, Lsource = 10·log₁₀(10^(Ltotal/10) − 10^(Lbackground/10)), from the total level measured with the source on Ltotal (dB) and the background noise level measured with the source off Lbackground (dB). When measuring the noise of a specific machine, equipment or source, the sound level meter captures NOT ONLY the source of interest but also the environment's BACKGROUND noise (other machines, traffic, ventilation). To isolate the source's real level, the background noise must be SUBTRACTED — but since decibels are logarithmic, this subtraction is NOT arithmetic: you cannot simply lower the dB. The correct formula converts both levels back to energy (sound pressure squared, the 10^(L/10) terms), subtracts the energies and reconverts to dB. The correction matters when the source and background have CLOSE levels: if the total level is only 3 dB above the background, the real source equals the background (the measurement is doubtful); if the difference is less than 3 dB, the measurement is INVALID (the background dominates). If the difference is large (>10 dB), the correction is negligible. Noise-measurement standards (occupational, environmental, product) require this correction for reliable results. Enter the total level and the background noise level.
Transformer Turns Ratio
Computes a transformer's turns ratio, a = N1 / N2, from the primary winding turns N1 and the secondary turns N2. The turns ratio is a transformer's FUNDAMENTAL quantity — the number determining how it converts voltages and currents between the two sides. In an ideal transformer, the voltage ratio equals the turns ratio: V1/V2 = N1/N2 = a. If a > 1 (more turns on the primary), it is a STEP-DOWN transformer: it reduces voltage and increases current — like distribution transformers stepping the grid's high voltage down to household voltage. If a < 1, it is STEP-UP: it raises voltage and reduces current — like those at power plants and substations, which raise voltage for efficient transport on transmission lines (high voltage = less current = lower losses). The transformer is the device that makes the modern AC power system VIABLE, allowing energy to be transmitted over long distances and the voltage matched to each use. The turns ratio is the starting point of all transformer analysis. Enter the primary and secondary turns.
Transformer Secondary Voltage
Computes the secondary voltage of an ideal transformer, V2 = V1 / a, from the voltage applied to the primary V1 (V) and the turns ratio a (= N1/N2). In an ideal transformer, the two windings' voltages are proportional to their turns, so the output (secondary) voltage is simply the input voltage divided by the turns ratio. This is a transformer's MAIN and most visible function: to ADAPT voltage. A step-down transformer (a > 1) delivers a secondary voltage LOWER than the primary — the case of transformers feeding chargers, electronic equipment power supplies and the household grid from medium voltage. A step-up one (a < 1) delivers HIGHER voltage. The relation is exact for the ideal transformer; in real transformers, the output voltage under load drops slightly from this value (due to internal drops in the windings' resistances and reactances), an effect quantified by the voltage regulation. Even so, this formula gives the nominal design voltage and is the basis for sizing any transformer. Enter the primary voltage and the turns ratio.
Transformer Secondary Current
Computes the secondary current of an ideal transformer, I2 = I1·a, from the primary current I1 (A) and the turns ratio a (= N1/N2). In an ideal transformer there are no losses, so the power entering the primary equals that leaving the secondary (V1·I1 = V2·I2). Since voltages are proportional to turns, currents are INVERSELY proportional: while voltage is divided by a, current is MULTIPLIED by a. This reveals the transformer's essential principle: it trades voltage for current while keeping power constant. In a STEP-DOWN transformer (a > 1), which reduces voltage, the secondary current is HIGHER than the primary — which is why the low-voltage-side cables are thicker. In a STEP-UP one, the opposite occurs. This inverse relation is why power transmission is done at HIGH voltage: raising voltage reduces line current, and since heating losses (Joule effect) are proportional to current squared, transmitting at high voltage drastically minimises losses. The secondary current sizes the output-side conductors and protection. Enter the primary current and the turns ratio.
Transformer Efficiency
Computes a transformer's efficiency, η = P_out / (P_out + P_copper + P_iron)·100, from the useful output power P_out (W), the copper losses P_copper (W) and the iron losses P_iron (W); the result is in %. Efficiency measures how much of the power entering the transformer actually reaches the load, discounting the two internal losses. COPPER LOSSES (or Joule losses, I²R) occur in the windings' electrical resistance and depend on the SQUARE of the current — so they vary with LOAD (maximal at full load, zero at no load). IRON LOSSES (or core losses: hysteresis + eddy currents) occur in the magnetic core and are practically CONSTANT, present whenever the transformer is energised, even with no load. Transformers are among the MOST efficient electrical machines: large power transformers reach 98–99.5% efficiency, having no moving parts or friction. Even so, given the immense amount of energy passing through them in the power system, even 1% loss represents a huge waste in absolute value — which is why transformer efficiency is regulated and energy-efficiency labels exist. Enter the output power and the copper and iron losses.
Transformer Voltage Regulation
Computes a transformer's voltage regulation, Reg = (V_noload − V_fullload) / V_fullload·100, from the no-load secondary voltage V_noload (V) and the full-load secondary voltage V_fullload (V); the result is in %. Voltage regulation measures the voltage DROP at a transformer's output when it goes from no-load to full-load operation. In a real (non-ideal) transformer, the windings have resistance and leakage reactance; when the load current flows through these internal impedances, a voltage drop occurs, making the voltage delivered to the load LOWER than the no-load voltage. Regulation quantifies this effect as a percentage. A LOW regulation (close to zero, e.g. 1–3%) is DESIRABLE: it means the output voltage stays nearly constant regardless of load, ensuring proper operation of the powered equipment (which expects stable voltage). A HIGH regulation indicates a 'soft' transformer whose voltage drops a lot under load — bad for power quality. Regulation depends on the internal impedances and the load power factor (inductive loads worsen regulation). It is an essential quality and performance parameter of transformers. Enter the no-load voltage and the full-load voltage.
Copper Loss at Partial Load
Computes a transformer's copper losses operating at partial load, P_cu = P_cu,rated·x², from the rated (full-load) copper losses P_cu,rated (W) and the loading fraction x (0 to 1, e.g. 0.75 = 75% of rated load). Copper losses (Joule losses, I²R) depend on the SQUARE of the current flowing through the windings. Since current is proportional to the transformer's loading, copper losses vary with the SQUARE of the load fraction: a transformer operating at 50% of rated load has only 25% of the rated copper losses; at 70%, about 49%. This quadratic dependence is very important in the economic operation of transformers: since copper losses grow rapidly with load, heavily loaded transformers (near or above rated) have high losses and heat up more (reducing their life). On the other hand, lightly loaded transformers waste relatively more in iron losses (constant). Computing the copper losses at the real operating condition is essential to estimate the effective efficiency, the heating and the cost of wasted energy — and to decide the ideal sizing and paralleling of transformers in an installation. Enter the rated copper losses and the loading fraction.
Transformer Rated Current
Computes the rated current of a single-phase transformer, I = S / V, from the rated apparent power S (VA) and the rated voltage V (V) of the considered winding; the result is in amperes. Transformers are specified by their rated APPARENT power (in VA or kVA), not active power (W), because the windings' heating — which limits the transformer's capacity — depends on the CURRENT (regardless of the load power factor). The rated current is the largest current the transformer can carry continuously in each winding without overheating, obtained by dividing the apparent power by that winding's voltage. Each side (primary and secondary) has its own rated current: since S is the same on both sides (ideal transformer), the LOWER-voltage side has the HIGHER rated current. Knowing the rated current is essential to: size the conductors (cable gauge), choose the PROTECTION devices (breakers, fuses), specify the switchgear and check the loading. For three-phase transformers, one further divides by √3. The rated current is a basic, indispensable datum of any electrical design involving transformers. Enter the apparent power and the voltage.
Load for Maximum Efficiency
Computes the loading fraction at which a transformer's efficiency is maximum, x = √(P_iron / P_copper,rated), from the iron losses P_iron (W, constant) and the rated copper losses P_copper,rated (W, at full load). A transformer's efficiency is NOT maximum at full load, as one might imagine, but at a specific PARTIAL loading. This happens because the two losses behave oppositely: IRON losses are constant (independent of load), while COPPER losses grow with the square of the load. It can be shown (by maximising the efficiency function) that efficiency reaches its PEAK exactly when the copper losses EQUAL the iron losses — which occurs at the load fraction x = √(P_iron/P_copper,rated). This result has great practical importance in design and operation: transformers are generally designed so that maximum efficiency occurs near the expected AVERAGE loading in service (typically 50–75% of rated load), not at full load, because in practice they rarely operate continuously at maximum. Knowing the maximum-efficiency point guides the ideal sizing: choosing a transformer whose typical loading coincides with its optimal point minimises total losses over its life. Enter the iron losses and the rated copper losses.
Transformer Short-Circuit Current
Computes a transformer's short-circuit current, I_sc = I_rated / (Z% / 100), from the rated current I_rated (A) and the transformer's percent impedance Z% (%). The percent impedance (Z%) is a fundamental transformer nameplate parameter: it represents the internal voltage drop, as a percentage of rated voltage, when the transformer carries its rated current — equivalently, it is the percentage of rated voltage that, applied with the secondary shorted, drives rated current. Its typical value is 4% to 8% for distribution transformers. The short-circuit current is the current that would flow if the secondary terminals were shorted with rated voltage on the primary — and it is LIMITED precisely by the transformer's internal impedance. The LOWER the percent impedance, the HIGHER the short-circuit current (a transformer with Z% = 4% lets through 25 times the rated current in a short!). This calculation is absolutely CRITICAL for designing electrical PROTECTION: downstream breakers and fuses must have an interrupting capacity (kA) HIGHER than the available short-circuit current, or they will explode trying to interrupt a fault. It also sizes the electrodynamic forces on busbars. It is one of the most important safety calculations in electrical installations. Enter the rated current and the percent impedance.
Voltage Drop (Single-Phase)
Computes the voltage drop in a single-phase circuit, ΔV = (2·ρ·L·I) / S, from the conductor resistivity ρ (Ω·mm²/m — copper ≈ 0.0172), the circuit length L (m, one-way only), the current I (A) and the conductor section S (mm²); the result is in volts. Voltage drop is the decrease in voltage along a cable, caused by the electrical resistance of the conductor through which current flows. The factor 2 appears because, in a single-phase circuit, the current travels through TWO conductors (line and neutral, out and back), and both contribute to the drop. Voltage drop is one of the MOST important criteria in sizing electrical installations: codes LIMIT the total drop to values like 4% (final circuits) or 5–7% (from the service entrance to the load), because excessive drop dims lamps, makes motors lose torque and overheat, and causes electronic equipment to malfunction. The drop GROWS with length and current, and DECREASES with cable section — so long or high-current circuits require thicker conductors, even when the ampacity (heating) would already be met by a smaller gauge. Checking voltage drop is mandatory in every electrical design. Enter the resistivity, the length, the current and the section.
Voltage Drop (Three-Phase)
Computes the voltage drop in a three-phase circuit, ΔV = (√3·ρ·L·I) / S, from the conductor resistivity ρ (Ω·mm²/m — copper ≈ 0.0172), the line length L (m), the line current I (A) and the conductor section S (mm²); the result is in volts. In THREE-PHASE systems — used in power distribution, motor supply and higher-power loads — the line-to-line voltage drop uses the factor √3 (≈1.732), arising from the geometric relationship between phase and line voltages in a balanced three-phase system. Unlike the single-phase circuit (factor 2), the three-phase one uses conductors better: to transmit the same power, the three-phase system has LOWER voltage drop and LOWER losses than the single-phase one, with less copper — one of the reasons power generation, transmission and distribution are three-phase. The three-phase voltage drop is checked when sizing feeders, distribution boards and motor circuits, and must respect code limits (typically up to 5% from the feeder to the load). As in the single-phase case, the drop is reduced by increasing the conductor section or reducing the length. It is an essential calculation in medium and large industrial and building electrical installations. Enter the resistivity, the length, the line current and the section.
Voltage Drop Percentage
Computes a circuit's percentage voltage drop, ΔV% = (ΔV / V_nominal)·100, from the absolute voltage drop ΔV (V) and the circuit's nominal voltage V_nominal (V). The percentage voltage drop is how CODES express and LIMIT voltage drop, because what matters for equipment operation is the drop RELATIVE to the operating voltage, not the absolute value in volts. For example, 8.8 V of drop in a 220 V circuit represents 4% — acceptable; the same 8.8 V in a 24 V circuit would be 36% — completely unworkable. Standards set limits like 4% for final circuits and up to 7% total (from the installation origin to any point of use), with specific rules for lighting and power. Keeping the drop within the limit ensures lamps, motors and electronics receive adequate voltage and work correctly, safely and efficiently. If the computed percentage drop EXCEEDS the limit, the conductor section must be increased (larger gauge), the circuit length reduced, or the load distribution revised. Checking the percentage drop is the final, decisive step of conductor sizing by the voltage-drop criterion. Enter the absolute voltage drop and the nominal voltage.
Line Power Loss (Joule)
Computes the Joule power loss in a single-phase circuit, P_loss = (2·ρ·L·I²) / S, from the conductor resistivity ρ (Ω·mm²/m), the length L (m), the current I (A) and the section S (mm²); the result is in watts. When electric current flows through a conductor's resistance, part of the energy is converted to HEAT and LOST — the Joule effect, the same physics that heats an electric shower, but here an unwanted waste in the cables. The loss depends on the SQUARE of the current (I²), which has deep consequences: doubling the current QUADRUPLES the losses. The factor 2 accounts for the two conductors of the single-phase circuit (out and back). These losses represent wasted energy paid on the electricity bill with no benefit, besides heating the cables (limiting their capacity and life). This is why: (1) power transmission is done at HIGH voltage (for a given power, high voltage means low current, and since loss goes with I², the waste is drastically reduced); and (2) undersized conductors (too thin) have high resistance and generate large losses and dangerous heating. Computing Joule losses is essential for the energy efficiency and safety of installations, and to justify using adequate gauges. Enter the resistivity, the length, the current and the section.
Minimum Conductor Section
Computes the minimum section of a single-phase conductor to respect a maximum voltage drop, S = (2·ρ·L·I) / ΔV_max, from the resistivity ρ (Ω·mm²/m), the length L (m), the current I (A) and the maximum admissible voltage drop ΔV_max (V); the result is in mm². This is the INVERTED form of the voltage-drop calculation, used directly in conductor SIZING: instead of computing the drop of an already-chosen cable, you start from the maximum ALLOWED drop (set by code, e.g. 4% of nominal voltage) and compute the smallest cable section that keeps the drop within that limit. The result is the theoretical minimum section by the voltage-drop criterion; in practice, it is rounded up to the next COMMERCIAL section (1.5; 2.5; 4; 6; 10; 16 mm²...). The final sizing of a conductor must SIMULTANEOUSLY meet several criteria — ampacity (heating), voltage drop, short-circuit protection and minimum code section — and the one requiring the LARGEST gauge prevails. In long circuits (feeders, rural areas, large-area lighting), voltage drop is usually the dominant criterion, requiring thicker cables than heating alone would demand. This calculation is central to electrical design. Enter the resistivity, the length, the current and the maximum admissible drop.
Transmission Line Efficiency
Computes the efficiency of an electrical transmission or distribution line, η = P_load / (P_load + P_losses)·100, from the power delivered to the load P_load (W) and the power lost in the line P_losses (W); the result is in %. The line efficiency measures what fraction of the power ENTERING the line actually reaches the load at the other end, discounting the part dissipated as heat (Joule effect) in the conductors' resistance along the way. In transmission and distribution lines, these losses represent a huge cost at system scale: it is estimated that about 6 to 10% of all generated energy is lost in transmission and distribution to the final consumer. Maximising line efficiency is therefore a central goal of power engineering, achieved by: transmitting at HIGH voltage (reduces current and, with it, the I²R losses), using conductors of adequate section and low resistivity, and reducing distances and the number of transformations. Line efficiency is especially critical in long lines (long-distance transmission, rural electrification) and in systems carrying large power. Computing the efficiency allows assessing the technical and economic viability of a line and comparing design alternatives (voltage, gauge, route). Enter the load power and the lost power.
Corrected Current (Grouping/Temperature)
Computes the corrected design current for selecting a conductor, I_corrected = I_nominal / (F_temp·F_group), from the design current I_nominal (A), the temperature correction factor F_temp and the grouping correction factor F_group. A cable's ampacity — the maximum current it carries without overheating — is tabulated for reference conditions (standard ambient temperature and isolated cable). When the real conditions are MORE SEVERE, the cable's actual ampacity DECREASES, and the calculation must be corrected. The TEMPERATURE factor F_temp (< 1) reduces the capacity when the environment is hotter than standard (e.g. installations in hot ceilings, tropical regions). The GROUPING factor F_group (< 1) reduces the capacity when several cables are installed together in the same conduit or tray, since they heat one another, hindering heat dissipation. To select the cable correctly, the design current is DIVIDED by the factors (which RAISES the equivalent current the table must meet), ensuring the chosen cable withstands the real current under the real installation conditions. Ignoring these corrections leads to undersized cables that overheat — a fire risk. It is a mandatory step of conductor sizing. Enter the design current and the temperature and grouping factors.
Electrical Moment
Computes the electrical moment of a circuit, M = I·L, from the current I (A) and the circuit length L (m); the result is in ampere-metres (A·m). The electrical moment is the product of the current flowing in a section by the distance it travels — a concept analogous to the mechanical moment (force × arm) and very useful in the practical sizing of electrical installations. It groups, in a single number, the two factors that most influence voltage drop and losses: the more current AND the farther it must go, the greater the electrical 'effort' on the conductor. The electrical moment is the basis of a quick, traditional conductor-sizing method: utilities and standards provide TABLES of voltage drop per unit of electrical moment (in V/A·m or %/A·m) for each cable section, allowing, with a simple multiplication, the voltage drop or required section to be found without redoing the whole formula. It is especially handy in circuits with several loads distributed along a feeder (as in distribution networks and street lighting), where the electrical moments of each section are summed. The electrical moment is thus an engineering tool that simplifies voltage-drop calculation in real projects. Enter the current and the length.
Design Current (Single-Phase)
Computes the design current of a single-phase circuit, I = P / (V·cos φ), from the load's active power P (W), the voltage V (V) and the power factor cos φ. The design current (or load current) is the current that will actually flow in the circuit to supply a given load — the STARTING point of all electrical sizing, from which the conductor section, the protective breaker and the conduit are chosen. The formula comes from the definition of power in alternating current: the ACTIVE power (useful, in watts) is the product of voltage, current and the POWER FACTOR (cos φ), which represents the phase shift between voltage and current caused by inductive loads (motors, ballasts) or capacitive ones. So, for a given power, the LOWER the power factor, the HIGHER the required current — loads with low power factor 'draw' more current to deliver the same useful power, requiring larger cables and protection and generating more losses. Purely resistive loads (showers, heaters) have cos φ = 1; motors typically 0.8–0.9. Computing the design current correctly, considering the load's real power factor, is fundamental for safe and economical sizing. Enter the power, the voltage and the power factor.
Ground Rod Resistance (Dwight)
Computes the grounding resistance of a vertical rod, by Dwight's formula, R = (ρ / (2π·L))·(ln(4L/d) − 1), from the soil resistivity ρ (Ω·m), the rod length L (m) and the rod diameter d (m). The grounding system is a FUNDAMENTAL safety component of electrical installations: it connects metallic parts and the neutral to earth, providing a low-resistance path for fault and lightning currents, protecting people against shocks and equipment against overvoltages. The vertical rod (usually copper-clad steel, driven into the soil) is the most common grounding electrode. Its resistance depends strongly on the SOIL RESISTIVITY (which varies enormously — from ~50 Ω·m in moist, clayey soils to thousands in dry, rocky ones) and on the rod length (longer rods reach deeper, moister layers, reducing resistance), and very little on the diameter (which enters only in the logarithm). The LOWER the grounding resistance, the BETTER the safety (standards recommend values like ≤ 10 Ω). When a single rod does not reach the desired value, several are used in parallel or soil treatment is applied. This formula is the basis of grounding design. Enter the soil resistivity, the rod length and the rod diameter.
Parallel Ground Rods Resistance
Computes the resulting resistance of several ground rods in parallel, R = R1 / (N·F), from the resistance of a single rod R1 (Ω), the number of rods N and the reduction (efficiency) factor F (between 0 and 1). When a single ground rod does not reach the desired resistance, the most common solution is to drive SEVERAL interconnected rods in parallel. As in any parallel resistance association, the total resistance DECREASES — but NOT in the ideal 1/N proportion, and that is where the reduction factor F comes in. Rods close to one another have their soil 'influence zones' OVERLAPPING, which reduces the parallelism's effectiveness (one rod 'steals' current from another). So the factor F (always < 1, typically 0.6 to 0.9) corrects the ideal formula, and it IMPROVES when rods are spaced farther apart (recommended spacing ≥ rod length). In practice, doubling the number of rods does NOT halve the resistance — there are diminishing returns. Grounding design balances the number of rods, spacing and cost to reach the target resistance (e.g. ≤ 10 Ω) economically. This formula is essential in sizing rod grids for substations, lightning protection systems and industrial installations. Enter the single-rod resistance, the number of rods and the reduction factor.
Soil Resistivity (Wenner)
Computes the apparent soil resistivity by the Wenner method, ρ = 2π·a·R, from the electrode spacing a (m) and the measured resistance R (Ω); the result is in Ω·m. Soil resistivity is the MOST important parameter of any grounding design — it determines how easily current dissipates into the ground and, therefore, the resistance of any grounding electrode. The WENNER method is the standard field technique to measure it: FOUR equally spaced electrodes (spacing a) are driven in a straight line; current is injected through the two outer ones and the voltage is measured between the two inner ones, obtaining the resistance R with an earth tester. The apparent resistivity is then ρ = 2π·a·R. By varying the spacing a, resistivity is measured at different DEPTHS (the larger the spacing, the deeper the current penetrates), allowing the soil's layered stratification to be surveyed — essential information to design substation grids and choose the electrode type and depth. Soil resistivity varies enormously with moisture, temperature, compaction and composition (clay vs. sand vs. rock), and even with the season. Measuring it correctly is the first step of any serious grounding design. Enter the electrode spacing and the measured resistance.
Permissible Step Voltage
Computes the maximum permissible step voltage for a 50 kg person, E_step = (1000 + 6·ρs)·0.116 / √ts, from the surface-layer soil resistivity ρs (Ω·m) and the fault duration ts (s); the result is in volts. The STEP VOLTAGE is the potential difference between a person's two feet (~1 m apart) when walking on the ground near a grounding electrode during an electrical fault. When a high fault current flows through the soil, it creates a potential gradient in the ground; if a person has their feet at points of different potential, a current will flow through their legs, possibly causing shock, a fall or cardiac arrest. The formula (from IEEE Std 80, for substations) computes the safe LIMIT: the term (1000 + 6·ρs) represents the body resistance plus that of the two feet in series with the soil, and the factor 0.116/√ts comes from Dalziel's fibrillation criterion (larger currents are tolerable for shorter times). A high-resistivity surface layer (e.g. crushed stone) INCREASES the permissible step voltage, protecting people — which is why substation yards are covered with crushed stone. The step voltage COMPUTED in the grid must be LOWER than this permissible limit. It is a critical safety calculation in substations and high-current grounding. Enter the surface resistivity and the fault duration.
Permissible Touch Voltage
Computes the maximum permissible touch voltage for a 50 kg person, E_touch = (1000 + 1.5·ρs)·0.116 / √ts, from the surface-layer soil resistivity ρs (Ω·m) and the fault duration ts (s); the result is in volts. The TOUCH VOLTAGE is the potential difference between a person's hand (touching a grounded metallic structure) and their feet (on the ground), during an electrical fault. It is generally MORE DANGEROUS than the step voltage, because the current path through the body goes from hand to feet, crossing the HEART region — where much smaller currents can already cause fatal ventricular fibrillation. When a fault occurs, the grounded structure may assume a high potential relative to the surrounding soil; a person touching it is subjected to this difference. The formula (IEEE Std 80) differs from the step voltage in the soil term: (1000 + 1.5·ρs), because now the two feet are in PARALLEL (not in series), reducing the resistance and making the permissible limit LOWER — reflecting the greater danger. As with the step voltage, a crushed-stone surface layer (high ρs) raises the safe limit, and the factor 0.116/√ts comes from Dalziel's criterion. The touch voltage computed in the ground grid must ALWAYS be lower than this limit. It is one of the most important safety checks in substation design. Enter the surface resistivity and the fault duration.
Ground Grid Resistance
Computes a ground grid's resistance by the simplified Laurent formula, R = ρ·√(π/A)/4 + ρ/L, from the soil resistivity ρ (Ω·m), the area occupied by the grid A (m²) and the total length of buried conductors L (m); the result is in ohms. In substations and large installations, grounding is not done with isolated rods but with a MESH of buried copper conductors, forming a grid covering the whole yard area. This grid has two functions: to offer low grounding resistance AND, mainly, to EQUALISE the soil potential over the whole area, keeping the step and touch voltages within safe limits (protecting people). The Laurent formula estimates the grid resistance by combining two effects: the first term, ρ·√(π/A)/4, depends on the total AREA occupied (a larger grid has lower resistance — dominates in large grids), and the second, ρ/L, depends on the total LENGTH of buried conductor (more cable, lower resistance). Increasing the area is more effective than densifying the grid to reduce resistance. The grid resistance enters the calculation of the ground potential rise (GPR) during faults. More precise formulas (Sverak, IEEE 80) refine this value, but Laurent's is excellent for design estimates. Enter the resistivity, the grid area and the total conductor length.
Grounding Conductor Section
Computes the minimum section of a grounding conductor by the thermal criterion, S = I·√t / k, from the earth fault current I (A), the fault duration t (s) and the material constant k (A·√s/mm² — copper ≈ 143, aluminium ≈ 95); the result is in mm². During an earth fault (short circuit), a HIGH current flows through the grounding conductor for a short time (until the protection acts). Although brief, this current is so intense that it can OVERHEAT and even melt the conductor if it is too thin — compromising safety at the very critical moment. The thermal criterion sizes the MINIMUM section so the conductor withstands the fault current without its temperature exceeding the admissible limit of the material and insulation. The formula (derived from Onderdonk's adiabatic equation / IEEE 80) shows that the required section grows with the fault current and with the square root of the exposure time, and is inversely proportional to the material constant k (which depends on the specific heat, density and admissible initial and final temperatures). Copper, due to its excellent thermal conductivity, allows smaller sections than aluminium for the same current. This calculation ensures that grounding cables, protective conductors (PE) and bonding conductors withstand faults without damage. It is a mandatory safety sizing. Enter the fault current, the time and the material constant.
Body Current Limit (Dalziel)
Computes the maximum current tolerable by the human body without causing ventricular fibrillation, by Dalziel's equation, I_body = 0.116 / √t (for a 50 kg person), from the shock exposure time t (s); the result is in amperes. The danger of electric shock lies not only in voltage, but mainly in the CURRENT passing through the body and the TIME for which it flows. Charles Dalziel, researching electricity's effects on the body, established that the current causing VENTRICULAR FIBRILLATION (the uncoordinated, fatal contraction of the heart) depends on the square root of the exposure time: larger currents are tolerable for very short times, but even small currents become lethal if they persist. The constant 0.116 corresponds to a 50 kg person (a constant of 0.157 is used for 70 kg); the relation shows, for example, that for a 0.5 s fault the limit is about 164 mA, but for a prolonged exposure of several seconds, a few tens of mA are already dangerous (note that currents on the order of 10–30 mA already cause muscle contraction preventing release of the conductor). This equation is the BASIS of all electrical safety standards: it underpins the step and touch voltage limits, the tripping times of residual current devices (RCDs) and the design of grounding. Understanding it is essential to protect lives. Enter the exposure time.
Ground Potential Rise (GPR)
Computes the ground potential rise (GPR), GPR = I·R, from the fault current flowing to earth I (A) and the grounding system resistance R (Ω); the result is in volts. When an earth fault occurs in a substation or installation, a large short-circuit current is injected into the soil through the grounding system. Since this system has a non-zero resistance R, the whole ground grid (and everything connected to it) RISES in potential relative to remote earth (the distant soil, at zero potential) — this rise is the GPR, simply the product of current and resistance (Ohm's law). The GPR can reach THOUSANDS of volts in severe faults, and is a critical safety and design quantity: it determines the step and touch voltage stresses (danger to people), defines the need for isolation and separation between substation and telecommunications grounding, and imposes care with control cables, fences and pipes entering and leaving the area (which can transfer the dangerous potential far away). Reducing the GPR — by lowering the grounding resistance (larger grids, more conductors) — is a central design goal. The GPR is the starting point for assessing all the risks of an earth fault. Enter the fault current and the grounding resistance.
Half-Wave RMS Voltage
Computes the RMS value of the output voltage of a HALF-WAVE rectifier, V_rms = V_p / 2, from the sinusoidal input peak voltage V_p (V). A half-wave rectifier uses a single diode to let through only the POSITIVE half-cycles of the alternating voltage, blocking the negative ones — the result is a pulsating voltage existing only during HALF of each cycle. The RMS (effective) value is the quantity determining the heating and dissipated power, equivalent to the value of a DC voltage producing the same thermal effect. For the half-wave rectified sine, the RMS is exactly HALF the peak voltage (because the voltage is zero during half the time, reducing the effective value relative to the full wave). The half-wave rectifier is the simplest and cheapest, but has important drawbacks: low efficiency, high ripple, and — using only half the cycle — a DC component that can saturate transformers. So it is used only in low-power, undemanding applications (simple chargers, signalling). The RMS value is essential to size components, compute the form factor and assess the rectifier's efficiency. Enter the peak voltage.
Full-Wave RMS Voltage
Computes the RMS value of the output voltage of a FULL-WAVE rectifier, V_rms = V_p / √2, from the sinusoidal input peak voltage V_p (V). A full-wave rectifier (four-diode bridge or center-tapped rectifier) uses BOTH half-cycles of the alternating voltage, 'folding' the negative half-cycles to the positive side — the result is a pulsating voltage present during the WHOLE cycle, with twice the pulses per second of the half wave. The RMS value of this waveform is V_p/√2 (≈0.707·V_p) — exactly the SAME RMS value as a full unrectified sine, because full-wave rectification only 'mirrors' the negative part without changing the energy content. Compared to the half wave, the full-wave rectifier has higher efficiency, LOWER ripple and better transformer utilisation, being the STANDARD topology in the vast majority of power supplies. The RMS value is fundamental to size the components (diodes, capacitors, transformer), compute the form factor and efficiency, and assess the heating. Enter the peak voltage.
Rectifier Form Factor
Computes the form factor of a rectified waveform, FF = V_rms / V_dc, from the RMS value V_rms (V) and the average (DC component) value V_dc (V). The form factor is the ratio between the EFFECTIVE (RMS) and the AVERAGE (DC) value of a waveform — a measure of how much the wave 'pulsates' or deviates from a pure continuous value. For a perfectly continuous voltage (no ripple), the RMS equals the average and FF = 1 (the ideal). The HIGHER the form factor above 1, the more 'pulsating' and distorted the waveform, indicating more ripple content. Characteristic values: for the half-wave rectifier, FF = π/2 ≈ 1.57 (high pulsation, poor); for the full-wave one, FF = π/(2√2) ≈ 1.11 (much closer to continuous, better). The form factor is a useful tool to COMPARE the quality of different rectifiers and topologies: the closer to 1, the better the DC output. It also relates directly to the ripple factor (ripple factor = √(FF²−1)) and the rectification efficiency. It is a classic power-electronics parameter to assess power supplies. Enter the RMS value and the average value.
Crest Factor
Computes the crest factor of a waveform, CF = V_peak / V_rms, from the peak value V_peak (V) and the RMS value V_rms (V). The crest factor (or peak factor) is the ratio between the PEAK and the RMS value of a waveform — a measure of how 'peaky' it is, that is, how much its peaks stand out above the effective level. For a pure sine, the crest factor is √2 ≈ 1.414 (the peak is 41% higher than the RMS). Very 'peaky' waveforms (with narrow, tall peaks) have a HIGH crest factor; flat waveforms (like a square wave, CF = 1) have a low crest factor. The crest factor matters in several areas: in power electronics, it indicates the peak stress on components (a high crest factor means intense current peaks, requiring more robust components even with a modest RMS); in power quality, currents of non-linear loads (switching supplies, LED lamps) have a high crest factor, overloading the neutral and transformers; and in audio, it measures the signal dynamics. A high crest factor warns of peaks that can damage components or require oversizing. Enter the peak value and the RMS value.
Ripple Factor
Computes the ripple factor of a rectifier, RF = √(FF² − 1), from the form factor FF. The ripple factor measures the amount of RIPPLE — the residual alternating component — present at a rectifier's output, relative to its DC component. It is the 'impurity' of the DC voltage: the LOWER the ripple factor, the 'cleaner' and closer to a pure DC the output, which is the goal of any power supply. The relation RF = √(FF²−1) links the ripple factor to the form factor (the RMS/DC ratio): a form factor of exactly 1 (perfectly continuous output) gives zero ripple. Characteristic values before filtering: half wave RF ≈ 1.21 (121% ripple — very poor); full wave RF ≈ 0.48 (48% — better, but still high). So in practice, every rectifier is followed by a FILTER (capacitor, inductor or both) that drastically reduces the ripple to acceptable values (often < 1%), delivering a smooth DC to the circuits. The ripple factor is the key criterion to assess the DC output quality and size the necessary filtering. Sensitive circuits (audio, instrumentation) require very low ripple. Enter the form factor.
Controlled Rectifier Output Voltage
Computes the average output voltage of a single-phase full-wave controlled rectifier, V_dc = (2·V_p / π)·cos(α), from the peak voltage V_p (V) and the firing angle α (degrees). A CONTROLLED rectifier replaces the diodes with THYRISTORS (SCRs), which only conduct after receiving a trigger pulse at their gate — allowing CONTROL of the instant each half-cycle begins conducting and, with it, ADJUSTMENT of the DC output voltage. The firing angle α is the delay, measured in degrees of the cycle, between the voltage zero crossing and the thyristor firing. With α = 0°, the controlled rectifier behaves like a diode rectifier (maximum voltage, V_dc = 2V_p/π); as α INCREASES, the output voltage DECREASES following the cosine, reaching zero at α = 90° (and even reversing, in inverter mode, for α > 90° with an appropriate load). This smooth DC voltage control is the basis of countless power-electronics applications: DC motor speed control, adjustable power supplies, heating control, battery chargers and industrial drives. The controlled rectifier was one of the pillars of power electronics before the advent of modern PWM converters, and is still widely used at high power. Enter the peak voltage and the firing angle.
Rectification Efficiency
Computes the rectification efficiency, η = (V_dc / V_rms)²·100, from the average (DC) value V_dc (V) and the RMS value V_rms (V) of the rectifier's output voltage. The rectification efficiency measures what fraction of the rectifier's output power corresponds to the USEFUL DC power (the continuous component that actually feeds the load in direct current), relative to the total power (which includes the unwanted residual ripple). It is defined as the ratio between the DC power (proportional to V_dc²) and the total AC power (proportional to V_rms²). Maximum theoretical values: the half-wave rectifier has a rectification efficiency of only ~40.6% (most of the energy is in the ripple, not the useful DC); the full-wave one reaches ~81.2% — double, evidencing its superiority. Note that this 'rectification efficiency' is NOT the circuit's real energy efficiency (which accounts for diode and transformer losses), but a measure of the QUALITY of the AC→DC conversion, indicating how well the rectifier converts the alternating input into a useful continuous output. It is a classic parameter to compare rectifier topologies. The closer to 100%, the better the DC output and the lower the ripple. Enter the average value and the RMS value.
Three-Phase Rectifier Voltage
Computes the average output voltage of a three-phase full-wave rectifier (6-pulse bridge), V_dc = (3√3 · V_p) / π, from the PHASE peak voltage V_p (V). In HIGHER-POWER applications (industrial drives, electrolysis, electric traction, large chargers), three-phase rectifiers replace single-phase ones for their decisive advantages. The full three-phase bridge uses SIX diodes (or thyristors) and produces SIX pulses per grid cycle, resulting in a DC voltage with MUCH LOWER ripple (already naturally smoother, requiring less filtering) and a higher average value. The formula V_dc = 3√3·V_p/π uses the phase peak voltage; the DC output is considerably high (about 1.65 times the phase peak voltage), harnessing the three phases shifted by 120°. Compared to the single-phase rectifier, the three-phase one offers: higher power, much lower ripple (ripple frequency six times the grid's), better power factor, balanced current distribution among phases and better transformer utilisation. It is the STANDARD topology in industrial power rectification. Enter the phase peak voltage.
Half-Wave Average Voltage
Computes the average (DC) output voltage of a HALF-WAVE rectifier, V_dc = V_p / π, from the sinusoidal input peak voltage V_p (V). The average value is the CONTINUOUS component of the pulsating output voltage — the 'average height' of the waveform, which is what a DC voltmeter measures and what actually feeds the load in direct current. In the half-wave rectifier, since only the positive half-cycles pass (and the voltage is zero during half the time), the average is relatively LOW: V_p/π, or about 31.8% of the peak voltage — exactly HALF the average of a full-wave rectifier (2V_p/π ≈ 63.7%). This low average value is one of the main drawbacks of the half wave: for the same input voltage, it delivers far less useful DC voltage than the full wave, with much more ripple. The average value is fundamental to: predict the DC voltage available to the load, compute the form factor (RMS/average), assess the rectification efficiency and size the circuit. Understanding the average-value difference between half wave and full wave is essential to choose the right power-supply topology. Enter the peak voltage.
Induction Motor Rotor Speed
Computes the rotor rotation speed of an induction motor, n_r = n_s·(1 − s), from the synchronous speed n_s (rpm) and the slip s (fraction between 0 and 1). The induction motor is the MOST used electric motor type in industry, for its robustness, simplicity and low cost. Its fundamental principle is that the rotor NEVER turns exactly at synchronous speed (the speed of the stator's rotating magnetic field) — it turns a little SLOWER, and this relative difference is the SLIP (s). It is precisely this lag that induces currents in the rotor and generates the torque: if the rotor reached synchronous speed, there would be no flux variation, no induced current and no torque. The actual rotor speed is therefore the synchronous speed reduced by the slip. At no load, the slip is very small (~0.5%) and the rotor turns almost at synchronous; as the LOAD increases, the slip grows (typically 2 to 5% at rated load), and the rotor speed drops slightly. Knowing the actual rotor speed is essential to compute the mechanical power, the shaft torque and the effective speed of the driven load (pump, fan, conveyor). Enter the synchronous speed and the slip.
Rotor Slip Frequency
Computes the frequency of the induced currents in an induction motor's rotor, f_r = s·f, from the slip s (fraction) and the grid frequency f (Hz). Although an induction motor's stator is fed by the grid frequency (60 Hz in Brazil, 50 Hz in many countries), the currents flowing in the ROTOR have a DIFFERENT and much lower frequency — the slip frequency, equal to the slip times the grid frequency. This happens because the rotor 'sees' the stator's rotating field passing it only at the RELATIVE speed (the difference between synchronous and rotor speed), which is precisely the slip. At starting (rotor stopped, s = 1), the rotor frequency EQUALS the grid frequency (60 Hz) — when the rotor currents and stresses are maximal. In normal operation (small s, ~3%), the rotor frequency is very low (about 1.8 Hz at 60 Hz) — the rotor currents oscillate slowly. This slip frequency is fundamental to understanding the motor's behaviour: it determines the rotor reactance (which varies with frequency), explains why the starting torque differs from the rated one, and is the basis of the operating principle of variable-frequency drives (VFDs) that control speed. Enter the slip and the grid frequency.
Air-Gap Power
Computes the air-gap power of an induction motor, P_ag = P_cu,rotor / s, from the rotor copper losses P_cu,rotor (W) and the slip s (fraction). The AIR-GAP power is the power that actually CROSSES the air gap — the small air space between stator and rotor — being transferred from stator to rotor through the rotating magnetic field. It is a key quantity in the induction motor's power-flow diagram: from it derive both the rotor losses and the useful mechanical power. The fundamental induction-motor relation states that the air-gap power SPLITS into two parts in the proportion of the slip: a fraction 's' becomes rotor copper LOSSES (dissipated as heat), and the remaining fraction '(1−s)' becomes MECHANICAL POWER. So P_cu,rotor = s·P_ag, and inverting, P_ag = P_cu,rotor/s. This split reveals an important fact: the GREATER the slip, the GREATER the proportion of air-gap power lost as heat in the rotor — which is why motors operating with high slip (overloaded or at starting) heat up a lot and are inefficient. The air-gap power also relates to the induced torque (T = P_ag/ω_synchronous), being central to the motor's performance analysis. Enter the rotor copper losses and the slip.
Rotor Copper Loss
Computes the rotor copper losses of an induction motor, P_cu,rotor = s·P_ag, from the slip s (fraction) and the air-gap power P_ag (W). The rotor copper losses are the energy dissipated as HEAT in the electrical resistance of the rotor bars (or windings), through which the induced currents flow. They are a DIRECT fraction of the air-gap power, equal to the slip itself: if the slip is 3%, then 3% of all the power crossing the air gap is lost in the rotor; the remaining 97% becomes mechanical power. This simple, elegant relation (P_cu,rotor = s·P_ag) has deep practical consequences: (1) it explains why the slip must be kept LOW for an efficient motor — high slip means much energy wasted as heat in the rotor; (2) it shows why STARTING is the most critical moment — with the rotor stopped (s = 1), ALL the air-gap power becomes rotor loss, generating intense heating (which is why frequent or prolonged starts damage the motor); and (3) it is the reason wound-rotor motors can insert external resistance in the rotor to control starting and speed, moving the dissipation outside the motor. Computing the rotor losses is essential for the motor's thermal and efficiency analysis. Enter the slip and the air-gap power.
Developed Mechanical Power
Computes the mechanical power developed by an induction motor, P_mech = (1 − s)·P_ag, from the slip s (fraction) and the air-gap power P_ag (W). The developed mechanical power (or converted power) is the portion of the air-gap power that actually transforms into MECHANICAL ENERGY at the motor shaft — the fraction '(1−s)' of the power crossing the air gap (the remaining fraction 's' becomes rotor loss). It is the power the motor really produces as rotation, before discounting the small mechanical losses from friction and windage (which give the final useful shaft power). The relation P_mech = (1−s)·P_ag directly shows the intrinsic efficiency of the rotor conversion: with a slip of 3%, 97% of the air-gap power becomes mechanical power — evidencing why well-designed motors operate with low slip. This power is the basis for computing the shaft torque and sizing the motor for a given mechanical load (pump, fan, compressor, conveyor). In the induction motor's power-flow diagram — going from the input electrical power, discounting stator losses, crossing the air gap, to the mechanical power and finally the useful shaft power — the developed mechanical power is the link between the electrical and mechanical worlds. Enter the slip and the air-gap power.
Induced Torque
Computes the induced torque of an induction motor, T_ind = P_ag / ω_s, where ω_s = 2π·n_s/60, from the air-gap power P_ag (W) and the synchronous speed n_s (rpm); the result is in N·m. The induced torque is the torque the motor develops internally from the interaction between the stator's rotating field and the rotor's induced currents — the 'raw' rotational force produced in the electromechanical conversion. A fundamental, elegant relation of the induction motor is that the induced torque equals the air-gap power divided by the SYNCHRONOUS speed (not the rotor speed): T_ind = P_ag/ω_s. This may seem counterintuitive (the rotor turns at rotor speed, not synchronous), but it follows from how power distributes in the air gap. This relation is very useful in practice, as it lets the torque be computed directly from the air-gap power without needing the slip. The induced torque governs the motor's ability to drive the load: it must always exceed the load's resisting torque for the motor to accelerate and keep turning. The induction motor's torque-speed curve (with its starting, breakdown and rated points) is the most important characteristic for selecting the right motor for each application. Enter the air-gap power and the synchronous speed.
Output Shaft Torque
Computes the shaft torque of a motor, T = P_useful / ω_r, where ω_r = 2π·n_r/60, from the useful shaft power P_useful (W) and the rotor speed n_r (rpm); the result is in N·m. The shaft torque (or output torque) is the torque the motor actually delivers to the driven load, after discounting all losses (stator, rotor and mechanical from friction and windage). It is the quantity that really matters for the application: it is what turns the pump, fan, compressor, conveyor or machine. Unlike the induced torque (which uses the synchronous speed), the output torque is computed with the ACTUAL rotor speed, since it is at that speed that the useful power is delivered. The relation T = P/ω is universal for any rotating shaft (holds for motors, turbines, gearboxes): torque is power divided by angular velocity. An important practical consequence is that, for the same power, LOW-speed motors deliver HIGH torque (hence gearboxes are used to increase torque at the expense of speed), and high-speed motors deliver low torque. Knowing the shaft torque is essential to check whether the motor can drive the load (starting and running), size couplings, keys and gearboxes, and ensure the load does not exceed the motor's capacity. Enter the useful power and the rotor speed.
Rotor Efficiency
Computes the rotor conversion efficiency of an induction motor, η_rotor = (1 − s)·100, from the slip s (fraction); the result is in %. The rotor efficiency is the fraction of the air-gap power that the rotor converts into MECHANICAL power, instead of dissipating it as heat in the rotor copper losses. As seen in the induction motor's power flow, the air-gap power splits between mechanical power '(1−s)' and rotor losses 's' — so the intrinsic efficiency of this conversion is exactly (1−s). This simple relation reveals one of the most important principles of induction motors: the rotor efficiency depends DIRECTLY and ONLY on the slip. A motor operating with 3% slip has a rotor efficiency of 97%; with 5%, it drops to 95%; and at starting (s = 1), the efficiency is ZERO (all the air-gap power becomes heat, none becomes useful motion). This explains several practical behaviours: why motors should operate with low slip (high efficiency), why overload (which increases slip) reduces efficiency and heats the motor, and why speed control by varying the slip (rotor resistance) is INEFFICIENT — it 'spends' the speed as heat in the rotor. Note this is only the rotor's efficiency; the motor's total efficiency is lower, as it also includes stator and mechanical losses. Enter the slip.
Motor Starting Current
Computes the starting current of an electric motor, I_start = (I_p/I_n)·I_rated, from the starting current ratio I_p/I_n (given on the motor's nameplate/catalogue) and the rated current I_rated (A). The starting current is the high current an induction motor draws the INSTANT it is switched on — typically 6 to 8 times the rated current! This happens because, at the starting instant, the rotor is STOPPED (slip s = 1), behaving almost like a short-circuited transformer (low impedance), driving an enormous current. This high starting current is one of the greatest practical challenges in motor starting and has several consequences: (1) it causes VOLTAGE DROPS in the grid when switching on (which can make lights flicker and affect other equipment); (2) it requires conductors, contactors and protections sized to withstand it (though it is brief); and (3) it heats the motor. So large motors rarely start directly from the grid (direct-on-line) — SOFT-START methods are used: star-delta, autotransformer starter, soft-starter (electronic) or variable-frequency drive, all aiming to reduce the starting current. Computing the starting current is essential to size the installation, choose the starting method and set the protections (which must tolerate the starting peak without tripping unduly). Enter the starting current ratio and the rated current.
Heat Capacity Rate
Computes the heat capacity rate of a fluid in a heat exchanger, C = ṁ·cp, from the mass flow rate ṁ (kg/s) and the fluid's specific heat cp (J/kg·K); the result is in W/K. The heat capacity rate is the amount of heat a flowing fluid can absorb or release per unit temperature change, per second — that is, how much its temperature 'resists' changing while exchanging heat. It is a CENTRAL concept in heat exchanger design by the effectiveness-NTU method. Each of a heat exchanger's two fluids (hot and cold) has its own capacity rate: the fluid with the SMALLER rate (C_min) undergoes the LARGEST temperature change along the exchanger (the 'weaker' one, heating or cooling faster), and it governs the maximum possible heat transfer. A fluid with high flow or high specific heat (like water, cp ≈ 4180 J/kg·K) has a high capacity rate and changes temperature little; a gas (low cp) or a low-flow fluid has a low rate and changes a lot. Computing the two fluids' capacity rates is the first step of the ε-NTU method: comparing them (capacity ratio) and identifying C_min are essential to predict the exchanger's effectiveness and performance. Enter the mass flow rate and the specific heat.
Heat Exchanger Capacity Ratio
Computes the heat capacity ratio of a heat exchanger, Cr = C_min / C_max, from the smaller heat capacity rate C_min (W/K) and the larger one C_max (W/K). The capacity ratio (Cr, between 0 and 1) is one of the two fundamental parameters of the effectiveness-NTU method (the other is NTU). It compares the two fluids' 'thermal strengths' and directly influences the effectiveness. There are two illustrative limiting cases: when Cr = 0, one of the fluids has INFINITE capacity — the case of a phase change (condenser or evaporator), where the phase-changing fluid keeps a constant temperature (releasing or receiving heat without changing temperature), behaving as if it had C_max → ∞; in this case the effectiveness is maximum for a given NTU. When Cr = 1, the two fluids have EQUAL capacities (balanced), and the exchange is 'harder' (lower effectiveness for the same NTU), since both change temperature in the same proportion. The capacity ratio, together with the exchanger type (counterflow, parallel flow, cross flow) and the NTU, fully defines the exchanger's effectiveness. Knowing Cr is indispensable to use the effectiveness formulas and charts in designing and analysing any heat exchanger. Enter C_min and C_max.
Effectiveness (Counterflow)
Computes the effectiveness of a COUNTERFLOW heat exchanger, ε = (1 − e^(−NTU(1−Cr))) / (1 − Cr·e^(−NTU(1−Cr))), from the number of transfer units NTU and the capacity ratio Cr. The effectiveness (ε, between 0 and 1) is the ratio between the heat ACTUALLY exchanged and the MAXIMUM heat that could theoretically be exchanged — a direct measure of how WELL the exchanger does its job. An ε of 0.8, for example, means the exchanger achieves 80% of the maximum possible heat transfer. The COUNTERFLOW arrangement — where the two fluids flow in OPPOSITE directions — is the MOST EFFICIENT of all exchanger types: for the same NTU (same size/area) and conditions, it reaches the highest possible effectiveness. This happens because, in counterflow, the temperature difference between the fluids stays more uniform along the whole exchanger, and the cold fluid can even leave HOTTER than the hot fluid's outlet (impossible in parallel flow). For this superiority, counterflow is the preferred arrangement whenever possible. This formula predicts a counterflow exchanger's performance given its NTU and the capacity ratio — a central step of the ε-NTU design method, especially useful when the outlet temperatures are unknown. Enter the NTU and the capacity ratio.
Effectiveness (Parallel Flow)
Computes the effectiveness of a PARALLEL-FLOW heat exchanger, ε = (1 − e^(−NTU(1+Cr))) / (1 + Cr), from the number of transfer units NTU and the capacity ratio Cr. In the PARALLEL-FLOW (or co-current) arrangement, the two fluids enter at the SAME end and flow in the SAME direction. This is the LEAST efficient arrangement among the basic exchanger types: for the same NTU and conditions, its effectiveness is always LOWER than the counterflow's. The reason is that, in parallel flow, the temperature difference between the fluids is HUGE at the inlet (very hot fluid meets very cold fluid) but drops quickly, and both tend toward a common EQUILIBRIUM TEMPERATURE — the cold fluid can NEVER leave hotter than the hot fluid's outlet (a fundamental limitation). So the parallel-flow effectiveness has a ceiling: even with infinite NTU (an infinitely large exchanger), ε saturates at 1/(1+Cr), never reaching 1 (except when Cr=0). Though less efficient, the parallel arrangement has uses: it limits the maximum wall temperature (useful for heat-sensitive fluids) and provides faster heating/cooling at the inlet. This formula is essential to compare arrangements and choose the right exchanger by the ε-NTU method. Enter the NTU and the capacity ratio.
Actual Heat Transfer Rate
Computes the actual heat transfer rate in a heat exchanger by the ε-NTU method, Q = ε·C_min·(T_h,in − T_c,in), from the effectiveness ε, the smaller heat capacity rate C_min (W/K), the hot fluid inlet temperature T_h,in (°C) and the cold fluid inlet temperature T_c,in (°C); the result is in watts. This is the equation that DELIVERS the final result of the effectiveness-NTU method: the amount of heat actually transferred from the hot fluid to the cold one. It combines three pieces of information: the effectiveness ε (which measures the exchanger's 'quality', obtained from the formulas for the arrangement), the capacity rate of the 'weaker' fluid (C_min) and the maximum available temperature difference (between the two fluids' inlets). The great advantage of the ε-NTU method, of which this formula is the apex, is that it allows the heat transfer to be computed WITHOUT needing the fluids' OUTLET temperatures (which are often exactly what one wants to find) — only the INLET temperatures, the flows and the exchanger geometry are needed. This makes the ε-NTU method especially powerful for SIZING problems and performance evaluation of existing exchangers. The computed heat transfer then allows the outlet temperatures to be determined and verifies whether the exchanger meets the process's thermal demand. Enter the effectiveness, C_min and the two fluids' inlet temperatures.
Maximum Heat Transfer Rate
Computes the maximum theoretically possible heat transfer rate in a heat exchanger, Q_max = C_min·(T_h,in − T_c,in), from the smaller heat capacity rate C_min (W/K), the hot fluid inlet temperature T_h,in (°C) and the cold fluid inlet temperature T_c,in (°C); the result is in watts. The maximum possible heat is the THERMODYNAMIC LIMIT of heat exchange a heat exchanger could reach if it were INFINITELY large (an ideal exchanger, with effectiveness ε = 1). This limit is determined by two factors: the largest available temperature difference (between the hot and cold fluid inlets — no exchanger can transfer heat using a larger difference than that) and the capacity rate of the 'weaker' fluid (C_min). Why C_min and not C_max? Because the lower-capacity fluid is the one that first reaches the temperature limit: it would heat (or cool) up to the other fluid's inlet temperature before the higher-capacity fluid got there. The maximum heat is the REFERENCE against which effectiveness is defined (ε = Q_actual/Q_max): it answers the question 'what is the best this exchanger could do?'. Computing Q_max is an essential step of the ε-NTU method, providing the denominator for the effectiveness and the exchanger's performance ceiling. It is indispensable in analysing and designing any heat exchanger. Enter C_min and the inlet temperatures.
Effectiveness from Temperatures
Computes a heat exchanger's effectiveness from measured temperatures (when the cold fluid has the smaller capacity), ε = (T_c,out − T_c,in) / (T_h,in − T_c,in), from the cold fluid outlet temperature T_c,out (°C), the cold fluid inlet T_c,in (°C) and the hot fluid inlet T_h,in (°C). This is the way to determine the effectiveness of a REAL, OPERATING exchanger from simple temperature measurements — useful to assess the performance of an installed exchanger, diagnose fouling that degrades its efficiency over time, or validate a design. The effectiveness is defined as the ratio between the ACTUAL temperature rise of the lower-capacity fluid and the MAXIMUM rise it could have (reaching the other fluid's inlet temperature). When the COLD fluid is the lower-capacity one (C_min), its change is used: (T_c,out − T_c,in), divided by the maximum available difference (T_h,in − T_c,in). If instead the HOT fluid is the lower-capacity one, its change is used in the numerator: (T_h,in − T_h,out). Comparing the measured effectiveness with the design value reveals performance losses: a drop in effectiveness over time indicates fouling, dirt or obstruction, signalling the need for cleaning or maintenance. This is a practical tool for diagnosing and commissioning exchangers. Enter the three temperatures.
Overall Conductance (UA)
Computes a heat exchanger's overall conductance, UA = Q / ΔT_lm, from the heat transfer rate Q (W) and the log mean temperature difference ΔT_lm (LMTD, °C); the result is in W/K. The overall conductance UA is the product of the overall heat transfer coefficient U and the exchange area A — a measure of an exchanger's 'total capacity' to transfer heat, combining the transfer quality (U) with the size (A). It is the key quantity linking the LMTD method to the exchanger's physical sizing: the fundamental equation Q = UA·ΔT_lm states that the heat exchanged is the product of the overall conductance and the mean temperature difference between the fluids. Inverting, UA = Q/ΔT_lm. Knowing UA is essential in two situations: (1) in SIZING, after computing the required UA, it is divided by the (estimated) overall coefficient U to obtain the required exchange AREA — and thus the exchanger's size and cost; and (2) in performance ANALYSIS, UA also relates to NTU (UA = NTU·C_min), connecting the two exchanger calculation methods (LMTD and ε-NTU). A drop in UA over time indicates fouling, which adds thermal resistance and reduces the conductance. Computing UA is a central step both in designing and evaluating heat exchangers. Enter the heat transfer rate and the LMTD.
Overall Heat Transfer Coefficient
Computes a heat exchanger's overall heat transfer coefficient, U = UA / A, from the overall conductance UA (W/K) and the heat exchange area A (m²); the result is in W/m²·K. The overall heat transfer coefficient U measures how easily heat crosses the wall separating an exchanger's two fluids, per unit area and per degree of temperature difference. It represents the COMBINED effect of all the thermal resistances in series along the heat path: convection from the hot fluid to the wall, conduction through the tube wall, any fouling layers on both sides, and convection from the wall to the cold fluid. The HIGHER the U, the more efficient the transfer (less area needed for the same exchange). Typical U values vary enormously with the fluids and configuration: from ~10-50 W/m²·K for gas-gas (poor transfer, since gases have low conductivity and convection), to hundreds for liquid-liquid (water-water ~800-1500), up to thousands for phase change (condensers and evaporators). The overall coefficient is an essential design datum: estimating it correctly (from convection correlations and the fluids' properties) is what allows, together with the required UA, the exchanger's AREA and size to be determined. Fouling over time reduces U, degrading performance. Enter the overall conductance and the area.
Plane Wall Thermal Resistance
Computes the conduction thermal resistance of a plane wall, R = L / (k·A), from the wall thickness L (m), the material thermal conductivity k (W/m·K) and the exchange area A (m²); the result is in K/W. Thermal resistance is an ELEGANT, powerful concept that lets heat transfer by CONDUCTION be analysed the same way electrical circuits are: the heat flow plays the role of current, the temperature difference plays the role of voltage, and thermal resistance is analogous to electrical resistance (thermal Ohm's law: Q = ΔT/R). The GREATER the thermal resistance, the SMALLER the heat flow for a given temperature difference — that is, the better the INSULATION. A plane wall's resistance grows with the thickness L (thicker walls insulate more) and decreases with the conductivity k (insulating materials, like glass wool and polystyrene, have low k and high resistance; metals have high k and low resistance) and with the area A. This concept is the basis for computing thermal insulation of buildings, furnaces, pipes and equipment, and for the circuit analogy of composite walls (multiple layers). Computing each layer's resistance allows them to be summed (in series) to obtain the total resistance and, from it, the heat flow. Enter the thickness, the conductivity and the area.
Convection Thermal Resistance
Computes the convection thermal resistance at a surface, R = 1 / (h·A), from the convection coefficient h (W/m²·K) and the exchange area A (m²); the result is in K/W. When heat is transferred between a solid surface and a moving fluid (air, water, oil), the mechanism is CONVECTION, governed by Newton's law of cooling (Q = h·A·ΔT). In the thermal circuit analogy, this transfer can also be represented by a RESISTANCE — the convection (or film) resistance — equal to the inverse of the product of the convection coefficient and the area. The GREATER the convection coefficient h, the SMALLER the resistance (the easier for heat to pass): forced convection (with a fan or pump) has high h and low resistance; natural convection (still air) has low h and high resistance. This convection resistance is fundamental because, in most real problems, heat crosses a sequence of resistances IN SERIES: convection from the hot fluid to the wall, conduction through the wall(s), and convection from the wall to the cold fluid. Summing all these resistances gives the total resistance, which links the heat flow to the fluid temperatures. The convection resistances on the two faces are often dominant in thin, metallic walls. It is a key concept in heat exchangers, insulation and heat sinks. Enter the convection coefficient and the area.
Cylindrical Wall Thermal Resistance
Computes the conduction thermal resistance of a cylindrical wall (pipe), R = ln(r₂/r₁) / (2π·k·L), from the inner radius r₁ (m), the outer radius r₂ (m), the thermal conductivity k (W/m·K) and the cylinder length L (m); the result is in K/W. For pipes and cylinders (pipelines, ducts, pipe insulation, cylindrical furnace walls), heat conduction does NOT follow the plane-wall formula, because the heat-passage area INCREASES as heat flows radially outward (the surface grows with the radius). So the resistance involves the LOGARITHM of the ratio between the outer and inner radii, instead of a simple thickness difference. This formula is essential in designing PIPE INSULATION: steam, hot-water, refrigeration and chemical-process pipes are coated with insulation layers (rock wool, elastomeric foam), and each cylindrical layer adds a thermal resistance computed by this formula. The thicker the insulation (larger r₂) and the lower the insulation conductivity, the higher the resistance and the lower the heat loss. The cylindrical resistance is also the basis for computing the CRITICAL RADIUS of insulation — a curious phenomenon in thin pipes, where adding insulation can initially INCREASE the heat loss. Summing each cylindrical layer's resistance (in series) gives the pipe's total heat loss. Enter the two radii, the conductivity and the length.
Series Thermal Resistance
Computes the total thermal resistance of three resistances in series, R_total = R₁ + R₂ + R₃, from the individual resistances R₁, R₂ and R₃ (K/W). When heat crosses several layers or stages in SEQUENCE — for example, convection from hot air to a wall, conduction through several layers of different materials (plaster, brick, insulation), and convection from the wall to the outside air — these thermal resistances add IN SERIES, exactly like electrical resistors in series. The total resistance is simply the sum of all the path's resistances, and it governs the total heat flow: Q = ΔT_total / R_total. This thermal-circuit-analogy principle is one of the most useful tools of heat transfer, since it lets a complex problem (multilayer composite wall with convection on the faces) be decomposed into simple parts, the resistance of each computed and summed. The layer with the GREATEST resistance is the one that most controls the heat flow (the thermal 'bottleneck') — which is why a thin layer of high-resistance insulation can drastically reduce a whole wall's heat loss. This series summation is the basis for computing building insulation (total R-value), furnaces, pipes and electronic heat sinks. Enter the three series resistances.
Heat Flow from Thermal Resistance
Computes the heat flow through a thermal circuit, Q = ΔT / R_total, from the total temperature difference ΔT (K or °C) and the total thermal resistance R_total (K/W); the result is in watts. This is the 'thermal OHM's Law' — the equation crowning the analogy between thermal and electrical circuits: just as in electricity the current is the voltage divided by the resistance (I = V/R), in heat transfer the heat flow is the temperature difference divided by the thermal resistance. It is the final equation that DELIVERS the desired result in most insulation and conduction problems: after computing the resistances of each layer (conduction) and each surface (convection) and summing them (in series) or combining them (in parallel) to obtain the total resistance, this formula is applied with the available temperature difference (between the hot and cold environments) to find the heat rate crossing the system. The GREATER the total resistance, the SMALLER the heat flow — which is why increasing insulation (adding resistance) reduces heat loss, saving energy. This formula is used to compute heat losses of buildings, pipes, furnaces, refrigerators and equipment, size insulation and estimate energy consumption for heating and cooling. It is the arrival point of thermal circuit analysis. Enter the temperature difference and the total resistance.
Parallel Thermal Resistance
Computes the equivalent thermal resistance of two resistances in parallel, R_eq = (R₁·R₂) / (R₁ + R₂), from the individual resistances R₁ and R₂ (K/W). When heat can flow through TWO (or more) ALTERNATIVE paths at the same time — in parallel — the thermal resistances combine like electrical resistors in parallel: the inverse of the equivalent resistance is the sum of the inverses. The parallel equivalent resistance is always SMALLER than the smallest individual resistance (with more paths, heat passes more easily). This case occurs in important practical situations: walls with embedded STRUCTURAL elements (beams, columns, metal studs) that conduct heat in parallel with the insulating material between them; windows in a wall (heat passes through the wall AND the window); and, above all, THERMAL BRIDGES — low-resistance paths (like a concrete beam or a metal profile crossing the insulation) that thermally 'short-circuit' the insulator, letting much heat pass through a small area and degrading the thermal performance of the whole wall. Identifying and computing the parallel resistances is essential to correctly assess a building's real insulation (which can be much worse than the theoretical one because of thermal bridges) and to design heat sinks and systems with multiple heat paths. Enter the two parallel resistances.
Thermal Transmittance (U-Value)
Computes the thermal transmittance (U-value) of a building element, U = 1 / R_total, from the total thermal resistance per unit area R_total (m²·K/W); the result is in W/m²·K. The thermal transmittance (U-value) is the STANDARD quantity used in building energy-efficiency codes to characterise the insulation of walls, roofs, windows and floors. It measures the amount of heat crossing a building element per square metre and per degree of temperature difference between the two sides — the LOWER the U-value, the BETTER the insulation (less heat escapes in winter or enters in summer). The U-value is simply the INVERSE of the wall's total thermal resistance (including the interior and exterior surface convection resistances and the conduction resistances of all the layers). So well-insulated walls (high resistance) have a low U-value. Building codes (such as European standards and energy codes) SET maximum U-values for each element type and climate zone, which designs must respect to ensure thermal comfort and energy efficiency. The U-value is decisive in computing a building's heating and cooling thermal load, sizing HVAC systems and obtaining sustainability certifications. Windows, for example, are compared by U-value (single glazing ~5.8; double ~2.8; triple ~1.0 W/m²·K). Enter the total thermal resistance.
Multilayer R-Value
Computes the total conduction R-value of a three-layer wall, R = L₁/k₁ + L₂/k₂ + L₃/k₃, from the thicknesses L (m) and thermal conductivities k (W/m·K) of each layer; the result is in m²·K/W. The R-value is the measure of thermal RESISTANCE per unit area used to characterise the insulation of materials and building elements — the HIGHER the R-value, the better the insulation. For a wall composed of several layers of different materials (for example: external cladding, brick layer, insulation blanket, internal plaster), the total R-value is the SUM of each layer's R-values, since they are in series along the heat path. Each layer's R-value is its thickness divided by the material's conductivity (L/k): thick layers of insulating materials (low k, like mineral wool, EPS, polyurethane) contribute a high R-value, while thin layers of conductive materials (metals, concrete) contribute little. The R-value is the quantity used in labelling insulation materials (blankets, boards) and in computing building insulation; it relates to the thermal transmittance (U-value = 1/R_total, including the surface resistances). Computing a wall's total R-value is essential to verify compliance with energy-efficiency codes, size the needed insulation and estimate heat losses. This calculator handles three layers, but the principle extends to any number. Enter the thicknesses and conductivities of the three layers.
Critical Radius of Insulation
Computes the critical radius of insulation of a cylinder (pipe or wire), r_c = k / h, from the insulation thermal conductivity k (W/m·K) and the external convection coefficient h (W/m²·K); the result is in metres. The critical radius of insulation is a FASCINATING, counterintuitive heat-transfer concept: in small-diameter cylinders (thin pipes, electrical wires), adding insulation can initially INCREASE the heat loss instead of reducing it! This happens because insulation has two opposing effects: it INCREASES the conduction resistance (good for insulating), but also INCREASES the external area exposed to the environment, which REDUCES the convection resistance (bad, lets more heat out). While the outer radius is SMALLER than the critical radius (r < r_c), the area effect wins, and adding insulation INCREASES the heat loss; only after exceeding the critical radius does insulation start reducing the loss, as expected. The critical radius is exactly k/h. This phenomenon has two opposite practical implications: (1) in pipe INSULATION, one must ensure the pipe radius is already larger than the critical one, or that the critical radius is quickly exceeded, for the insulation to be effective (in thick pipes this is automatic); and (2) in thin electrical WIRES, this effect is EXPLOITED — a layer of electrical insulation can help DISSIPATE more heat, cooling the wire. Understanding the critical radius avoids the error of 'insulating' a thin pipe and worsening the heat loss. Enter the insulation conductivity and the convection coefficient.
Blackbody Emissive Power
Computes the total emissive power of a blackbody, E_b = σ·T⁴, from the absolute temperature T (K); the result is in W/m² (σ = 5.67×10⁻⁸ W/m²·K⁴, the Stefan-Boltzmann constant). The emissive power is the amount of radiant energy a surface emits per unit area, in all directions and all wavelengths. The BLACKBODY is an ideal emitter — the surface that, at a given temperature, emits the MAXIMUM possible radiation (and absorbs all radiation incident on it). The Stefan-Boltzmann law shows thermal radiation's most striking dependence: the emissive power grows with the FOURTH POWER of the absolute temperature. This means DOUBLING the temperature (in kelvin) multiplies the emission by SIXTEEN! It is this extreme dependence that makes thermal radiation the DOMINANT heat-transfer mechanism at high temperatures (furnaces, flames, the Sun, incandescent filaments, spacecraft re-entry), far surpassing conduction and convection. The blackbody is the ideal reference against which real surfaces' emission is measured (through emissivity). This calculation is the basis of all radiation heat transfer, from astrophysics (star temperatures) to thermal engineering (furnaces, solar panels, satellite thermal control). Enter the absolute temperature in kelvin.
Gray Surface Emissive Power
Computes the emissive power of a real (gray) surface, E = ε·σ·T⁴, from the emissivity ε (between 0 and 1) and the absolute temperature T (K); the result is in W/m². No real surface is a perfect blackbody: all emit LESS radiation than a blackbody at the same temperature. The EMISSIVITY (ε) is the property measuring this 'imperfection' — the ratio between the radiation the surface actually emits and what a blackbody would emit. A blackbody has ε = 1; real surfaces have 0 < ε < 1. Emissivity depends strongly on the material and finish: dark, matte surfaces (matte black paint, ε ≈ 0.95; oxidised) emit well; polished, shiny metallic surfaces (polished aluminium, ε ≈ 0.05) emit very little. A 'gray' surface is a useful idealisation where emissivity is constant (independent of wavelength), simplifying calculations. The gray-surface emissive power is the practical starting point for computing radiative heat loss of real objects — hot pipes, furnace walls, electronic components, the human body. The choice of emissivity is very important in thermal engineering: low-emissivity coatings (aluminium, gold) are used to REDUCE radiative losses (satellite thermal insulation, thermos flasks), while high emissivity favours dissipation (black anodised heat sinks). Enter the emissivity and the absolute temperature.
Net Radiation to Surroundings
Computes the net radiative heat transfer rate between a surface and a much larger enclosing surroundings, Q = ε·σ·A·(T_s⁴ − T_surr⁴), from the surface emissivity ε, the area A (m²), the surface temperature T_s (K) and the surroundings temperature T_surr (K); the result is in watts. This is one of the most common situations in practice: an object (a hot pipe, a person, a component, a wall) exchanging heat by radiation with the environment around it (a room's walls, the sky, the surroundings), treated as a large enclosing cavity at uniform temperature. The surface EMITS radiation proportional to its temperature to the fourth power, and ABSORBS radiation from the surroundings proportional to their temperature to the fourth; the (net) difference is the heat it actually loses (if hotter) or gains (if colder) by radiation. Note the dependence on the DIFFERENCE of the fourth powers of the absolute temperatures — making the exchange very temperature-sensitive. This calculation is essential to: estimate the radiative heat loss of hot equipment and pipes (which can be significant, added to convection); compute human thermal comfort (we exchange much heat by radiation with cold walls in winter); size electronics cooling and satellite thermal control (which only lose heat by radiation in vacuum); and predict the nighttime cooling of surfaces (frost formation). Enter the emissivity, the area and the two absolute temperatures.
Radiation Heat Transfer Coefficient
Computes the radiation heat transfer coefficient, h_r = ε·σ·(T_s + T_surr)·(T_s² + T_surr²), from the emissivity ε, the surface temperature T_s (K) and the surroundings temperature T_surr (K); the result is in W/m²·K. Radiation heat transfer depends on the DIFFERENCE of the fourth powers of the temperatures — a non-linear relation that complicates calculations when radiation acts together with convection. The radiation coefficient h_r is an ingenious trick that LINEARISES radiation, expressing it in the SAME format as convection (Q = h_r·A·ΔT, instead of fourth-order powers). It is obtained by factoring the difference of fourth powers (a⁴ − b⁴ = (a+b)(a²+b²)(a−b)) and absorbing everything except the ΔT into the coefficient. The great advantage of this approach is allowing radiation to be COMBINED with convection simply: since both act in parallel on the same surface (a hot object loses heat simultaneously by convection to the air and by radiation to the walls), one just SUMS the coefficients (h_total = h_conv + h_r) and treats everything as a single linear transfer. This is widely used in computing heat losses of pipes, heat sinks, walls and in thermal comfort. Note that h_r depends on the temperatures (it is not constant), so it must be recomputed if the temperatures change much. At moderate temperatures, h_r is of the same order as natural convection, showing that radiation CANNOT be ignored. Enter the emissivity and the two absolute temperatures.
View Factor Reciprocity
Computes the view factor between two surfaces by the reciprocity relation, F₂₁ = A₁·F₁₂ / A₂, from the surface 1 area A₁ (m²), the view factor from 1 to 2 F₁₂ and the surface 2 area A₂ (m²). The VIEW FACTOR (or shape factor) F₁₂ is the fraction of radiation leaving surface 1 that DIRECTLY reaches surface 2 — a purely GEOMETRIC quantity depending only on the size, shape, orientation and relative distance between the surfaces (not on temperatures or materials). It is fundamental in computing radiation exchange between surfaces, since radiation spreads in all directions, and not all the energy a surface emits reaches the other. The RECIPROCITY relation is a powerful property of view factors: A₁·F₁₂ = A₂·F₂₁. It allows the view factor in the reverse direction (F₂₁) to be computed without redoing the whole geometry, when F₁₂ is already known — very useful, since often one of the factors is easy to obtain (by symmetry, charts, or surfaces that 'see' everything). Together with the summation rule (the sum of a surface's view factors to all others in an enclosure equals 1), reciprocity forms the 'view factor algebra' that lets all factors of a configuration be determined from a few known ones. It is indispensable in designing furnaces, radiation chambers, solar collectors and thermal control. Enter area 1, the factor F₁₂ and area 2.
Blackbody Radiation Exchange
Computes the net radiative heat transfer rate between two black surfaces, Q₁₂ = A₁·F₁₂·σ·(T₁⁴ − T₂⁴), from the surface 1 area A₁ (m²), the view factor F₁₂, the surface 1 temperature T₁ (K) and the surface 2 temperature T₂ (K); the result is in watts. When two surfaces that 'see' each other are at different temperatures, there is a NET radiative heat exchange from the hotter to the colder. For BLACK surfaces (ideal emitters and absorbers, ε = 1), the calculation is direct: the exchange depends on the emitting surface area, the fraction that actually reaches the other (view factor F₁₂) and the difference of the fourth powers of the absolute temperatures. This is the simplest form of radiative exchange computation between surfaces, serving as a basis and reference for the more complex cases with gray surfaces (which require the radiosity and radiative-resistance method). The result is useful to estimate the heat exchange in furnaces (between the load and the walls), in combustion chambers, between the Sun and the Earth, and in any system where surfaces at different temperatures exchange heat by radiation. The fourth-power temperature dependence means that, at high temperatures, even small temperature differences generate large heat exchanges — which is why radiation dominates in furnaces and high-temperature processes. For real (gray) surfaces, the result must be corrected by the emissivities. Enter area 1, the view factor and the two absolute temperatures.
Radiation Space Resistance
Computes the space (geometric) radiation resistance between two surfaces, R_space = 1 / (A₁·F₁₂), from the surface 1 area A₁ (m²) and the view factor F₁₂. In the RADIOSITY method for solving radiation exchange problems between gray surfaces, a powerful electrical-circuit analogy is used: each surface and each pair of surfaces is represented by a radiative RESISTANCE, and the heat exchange is solved as a circuit. The SPACE resistance (also called geometric or shape resistance) represents the geometric 'difficulty' radiation has in going from one surface to another, due to the fact that not all radiation emitted by one reaches the other (governed by the view factor). It connects the two surfaces' radiosities in the radiative circuit. The SMALLER the view factor (surfaces that 'see' each other little, distant or poorly oriented) and the smaller the area, the GREATER the space resistance — the harder the heat exchange. Together with the SURFACE resistances (which represent the imperfection of gray surfaces, ε < 1), the space resistances form the complete network that, solved as a circuit, gives the heat exchanges between all the surfaces of an enclosure. This method is the standard tool for radiation problems in furnaces, cavities, solar collectors and greenhouses with multiple surfaces at different temperatures. Enter area 1 and the view factor.
Surface Radiation Resistance
Computes the surface radiation resistance of a gray surface, R_surf = (1 − ε) / (ε·A), from the emissivity ε and the surface area A (m²). In the radiosity method (the circuit analogy for radiation between gray surfaces), each real surface contributes a SURFACE resistance to the radiative circuit — a resistance representing how much the surface DEPARTS from the ideal blackbody behaviour by having an emissivity less than 1. This resistance connects the surface's blackbody emissive power (E_b = σT⁴, depending only on temperature) to its actual RADIOSITY (the energy actually leaving the surface). For a blackbody (ε = 1), the surface resistance is ZERO (the surface behaves ideally, its radiosity equals the blackbody emissive power); the LOWER the emissivity (more reflective surfaces, like polished metals), the GREATER the surface resistance — the surface 'resists' emitting more, reflecting part of the radiation it receives. The surface resistances (one per surface) combined with the space resistances (one per pair of surfaces) form the complete radiative network of an enclosure, which, solved as an electrical circuit, gives the radiative heat exchange rates between all the surfaces. This method is the standard approach for radiation problems in enclosures with gray surfaces at different temperatures. Enter the emissivity and the area.
Radiative Equilibrium Temperature
Computes the radiative equilibrium temperature of a surface, T = (Q / (ε·σ·A))^0.25, from the absorbed heat flux Q (W), the emissivity ε, the area A (m²) and the Stefan-Boltzmann constant σ; the result is in kelvin. The radiative equilibrium temperature is the temperature a surface reaches when the energy it ABSORBS (from a heat source, like the Sun, or internal dissipation) EQUALS the energy it EMITS by radiation — the steady state where the temperature stops changing. It is obtained by inverting the Stefan-Boltzmann law: since the emission is proportional to T⁴, the equilibrium temperature is the fourth root of the absorbed flux divided by the radiative factors. This concept is fundamental in situations where radiation is the only (or main) heat-exchange mechanism: the temperature of a SATELLITE in space (which only loses heat by radiation in vacuum, balancing the heat from the Sun and internal electronics); the equilibrium temperature of PLANETS (the basis of greenhouse-effect calculations); the equilibrium temperature of Sun-exposed surfaces (roofs, pavements, panels); and the thermal control of equipment dissipating heat by radiation. A low-emissivity surface reaches a HIGHER equilibrium temperature (emits less, so needs more temperature to balance), while high emissivity favours cooling. Computing the equilibrium temperature is essential in aerospace thermal design and climate physics. Enter the absorbed flux, the emissivity and the area.
Relative Roughness
Computes a pipe's relative roughness, ε_r = ε / D, from the material's absolute roughness ε (mm) and the pipe's internal diameter D (mm). The relative roughness is a fundamental dimensionless parameter in computing head loss in pipes under turbulent flow. It compares the size of the IRREGULARITIES of the pipe's internal surface (the absolute roughness ε, characteristic of the material and wall condition) with the pipe diameter. The absolute roughness depends on the material and condition: new PVC and copper pipes are very smooth (ε ≈ 0.0015 mm); commercial steel, ε ≈ 0.045 mm; cast iron, ε ≈ 0.26 mm; concrete, ε ≈ 0.3-3 mm; and old, encrusted pipes have much higher roughness. The relative roughness, together with the Reynolds number, is the INPUT of the Moody diagram (or the Colebrook, Swamee-Jain and Haaland formulas) to determine the FRICTION FACTOR, which in turn governs the head loss (Darcy-Weisbach equation). In fully developed turbulent flow (high Reynolds), the friction factor depends ALMOST only on the relative roughness — rougher pipes have more friction and more head loss. So the relative roughness is decisive in pipe sizing and material selection. Enter the absolute roughness and the diameter.
Swamee-Jain Friction Factor
Computes the Darcy friction factor for turbulent flow by the Swamee-Jain equation, f = 0.25 / [log₁₀(ε_r/3.7 + 5.74/Re^0.9)]², from the relative roughness ε_r and the Reynolds number Re. The Darcy friction factor is the key quantity for computing head loss in pipes (in the Darcy-Weisbach equation). In LAMINAR flow, it has a simple formula (f = 64/Re); but in TURBULENT flow (the most common in engineering pipes), it is given by the Colebrook-White equation — which is IMPLICIT (the friction factor appears on both sides), requiring iterative solution. The SWAMEE-JAIN equation is an EXPLICIT (direct) approximation of the Colebrook equation, with an error of only about 1% in the practical range — which is why it is widely used for its convenience: it gives the friction factor directly, without iteration, from the relative roughness and the Reynolds number. It is valid for the turbulent range (Re between ~5000 and 10⁸ and relative roughness between 10⁻⁶ and 10⁻²). The friction factor thus obtained enters the Darcy-Weisbach equation to compute the head loss, being essential in sizing hydraulic networks, water mains, pipelines and pumping systems. The Swamee-Jain formula replaces reading the Moody diagram with a direct calculation, ideal for spreadsheets and programs. Enter the relative roughness and the Reynolds number.
Haaland Friction Factor
Computes the Darcy friction factor by the Haaland equation, f = {1 / [−1.8·log₁₀((ε_r/3.7)^1.11 + 6.9/Re)]}², from the relative roughness ε_r and the Reynolds number Re. The HAALAND equation is another EXPLICIT (direct) approximation of the implicit Colebrook-White equation for the friction factor in turbulent flow — an alternative to the Swamee-Jain formula, equally popular. Proposed by Haaland in 1983, it has the advantage of being even simpler to compute (and more numerically stable) than other approximations, with an error typically below 2% relative to the exact Colebrook solution in the practical engineering range. Since the Colebrook equation is implicit and requires iteration (inconvenient in manual calculations and spreadsheets), explicit formulas like Haaland and Swamee-Jain are preferred in practice for giving the friction factor directly. Having TWO formulas (Haaland and Swamee-Jain) allows the results to be CHECKED (if both agree, there is good confidence) and chosen by preference or the adopted standard. The computed friction factor is used in the Darcy-Weisbach equation (h_f = f·(L/D)·V²/2g) to determine the head loss in pipes — the basis for sizing pumps, water distribution networks, fire systems, oil and gas pipelines. The Haaland equation is widely used in hydraulic software and engineering practice. Enter the relative roughness and the Reynolds number.
Pipe Flow Velocity
Computes the mean flow velocity in a circular pipe, V = 4·Q / (π·D²), from the volumetric flow rate Q (m³/s) and the pipe's internal diameter D (m); the result is in m/s. The flow velocity is the fluid's mean speed crossing the pipe's cross-section, obtained by dividing the volumetric flow by the section area (π·D²/4). It is a FUNDAMENTAL quantity in hydraulic design, since it influences practically everything: the head loss (which grows with the square of velocity), the flow regime (laminar or turbulent, via the Reynolds number), the risk of erosion (high velocities wear the pipe) and noise, and water hammer (transients when closing valves). So codes and good practice recommend economic velocity RANGES for each application: typically 1 to 3 m/s for water in building piping and mains (very low velocities require large, expensive pipes; very high ones generate excessive losses and noise). The pipe velocity is the starting point for computing the Reynolds number, the head loss and checking whether the chosen diameter is adequate. The relation V = 4Q/(πD²) shows that, for a fixed flow, the velocity drops with the SQUARE of the diameter — doubling the diameter reduces the velocity to a quarter. It is a basic, ubiquitous calculation in hydraulics. Enter the flow rate and the diameter.
Pipe Flow Rate
Computes the volumetric flow rate in a circular pipe, Q = V·π·D²/4, from the mean flow velocity V (m/s) and the pipe's internal diameter D (m); the result is in m³/s. The volumetric flow rate is the volume of fluid crossing the pipe section per unit time — one of the most important quantities in any fluid-transport system (water supply, irrigation, industrial processes, pipelines, refrigeration systems). It is the product of the mean flow velocity and the pipe's cross-section area (π·D²/4). It is the direct application of the continuity equation for a circular pipe. The flow rate is the design DATUM from which the whole installation is sized: from the required flow (how much water/fluid must be delivered) and a suitable (economic) velocity, the pipe diameter is determined; or, given the diameter and velocity, the flow the pipe carries is computed. The flow rate also enters the calculation of reservoir filling time, pump sizing (pumps are specified by flow and head) and demand-satisfaction checks. Note that the flow grows with the SQUARE of the diameter — a pipe with twice the diameter carries FOUR times the flow at the same velocity. It is an essential, everyday calculation in hydraulics and fluid engineering. Enter the velocity and the diameter.
Pipe Wall Shear Stress
Computes the wall shear stress in a pipe, τ_w = f·ρ·V² / 8, from the Darcy friction factor f, the fluid density ρ (kg/m³) and the mean flow velocity V (m/s); the result is in Pa (N/m²). The wall shear stress is the friction force per unit area that the moving fluid exerts TANGENTIALLY on the pipe's inner wall — and, by reaction, the force with which the wall 'brakes' the fluid. It is the physical manifestation of the friction that causes the head loss: the fluid loses energy precisely because of this wall shear stress. The shear stress grows with the friction factor, the fluid density and the SQUARE of the velocity — fast flows exert much more stress on the wall. Knowing the wall shear stress is important in several applications: (1) in EROSION and wear of pipes (high shear stress, especially with particle-laden fluids, wears the wall); (2) in removing DEPOSITS and scale (sufficient stress keeps the pipe clean; low stress allows sedimentation); (3) in biological and medical processes (shear stress affects blood cells and biofilms); and (4) in the very definition of the friction velocity (u* = √(τw/ρ)), a key quantity in turbulent boundary-layer theory. It is a concept linking the macroscopic friction to the wall physics. Enter the friction factor, the density and the velocity.
Friction Velocity
Computes the friction velocity of a flow, u* = √(τ_w / ρ), from the wall shear stress τ_w (Pa) and the fluid density ρ (kg/m³); the result is in m/s. The friction velocity (or shear velocity) is a 'characteristic velocity' defined from the wall shear stress — despite the name, it is NOT a real fluid velocity, but a velocity scale that arises naturally in the theory of turbulence near the wall. It is one of the most important quantities in studying the turbulent BOUNDARY LAYER and the velocity profile near walls. The friction velocity serves to non-dimensionalise the quantities in the wall region: it defines the 'law of the wall' (the universal logarithmic velocity profile in turbulent flow), the dimensionless distance y⁺ (used in computational fluid dynamics to size the mesh near walls) and the viscous sublayer thickness. It appears in heat and mass transfer correlations (Reynolds analogy), in sediment transport (the friction velocity determines whether particles on the bed of a river or pipe will be entrained), and in meteorology (atmospheric boundary layer, pollutant dispersion). It is a fundamental theoretical concept connecting the wall stress to the detailed behaviour of turbulent flow near surfaces. Enter the wall shear stress and the density.
Economic Pipe Diameter (Bresse)
Computes the economic diameter of a pumping (rising) main by the Bresse formula, D = K·√Q, from the Bresse coefficient K (typically 0.9 to 1.4) and the flow rate Q (m³/s); the result is in metres. The economic diameter is the pipe diameter that MINIMISES the TOTAL cost over the system's life, balancing two opposing costs: the PIPE cost (which increases with diameter — larger pipes are more expensive) and the pumping ENERGY cost (which decreases with diameter — larger pipes have lower velocity, lower head loss and therefore lower pump energy consumption). Thin pipes are cheap to buy but expensive to operate (much head loss); thick pipes are expensive to buy but cheap to operate. The economic diameter is the optimum point between these extremes. The BRESSE formula is a classic, simple rule of thumb to estimate this optimal diameter in PUMPING mains (which run continuously, where the energy cost is relevant): the diameter is proportional to the square root of the flow. The coefficient K depends on the number of operating hours per day, the energy and pipe costs — larger K values (more hours, expensive energy) lead to larger diameters (it pays to invest in pipe to save energy). The Bresse formula is widely used in the preliminary sizing of pumping systems, water mains and pumping stations. Enter the Bresse coefficient and the flow rate.
Head Loss Gradient
Computes the head loss gradient (or unit head loss) of a pipe, J = f·V² / (2·g·D), from the Darcy friction factor f, the mean flow velocity V (m/s) and the pipe diameter D (m), with g = 9.81 m/s²; the result is dimensionless (m of loss per m of pipe, m/m). The head loss gradient (or unit head loss) is the energy loss PER UNIT LENGTH of pipe — the 'slope' of the energy line along the pipe. It is a very practical way to express head loss, since, knowing the gradient J, the total loss in any reach is simply J multiplied by the reach length (h_f = J·L), which simplifies calculations in networks with pipes of different lengths. The gradient comes from the Darcy-Weisbach equation 'divided' by the length. It grows with the friction factor and the SQUARE of the velocity, and decreases with the diameter — so thin pipes with fast flow have high gradients (much loss per metre). The head loss gradient is fundamental in designing water distribution networks, mains and irrigation systems: it defines the slope of the piezometric line, the available pressure along the network and the head the pump must overcome. Typical economic values are around 0.5 to 5 m per 100 m of pipe. Comparing the gradient with the ground slope indicates whether the flow is by gravity or needs pumping. Enter the friction factor, the velocity and the diameter.
Fin Parameter (m)
Computes the fin parameter, m = √(h·P / (k·A_c)), from the convection coefficient h (W/m²·K), the fin cross-section perimeter P (m), the material thermal conductivity k (W/m·K) and the cross-section area A_c (m²); the result is in 1/m. FINS (or extended surfaces) are protrusions (pins, blades, plates) added to a surface to INCREASE the heat-exchange area with the surrounding fluid, intensifying convective dissipation — they are ubiquitous in electronics heat sinks, engine radiators, heat exchangers and heaters. The fin parameter m is the fundamental quantity characterising a fin's thermal behaviour: it combines the 'ease' of heat LEAVING the fin by convection (h·P, in the numerator) with the 'ease' of heat PROPAGATING along the fin by conduction (k·A_c, in the denominator). The product m·L (parameter times fin length) determines the temperature profile along the fin and its efficiency. A large m (much convection, little conduction) means the temperature drops quickly along the fin — the tip stays cold and contributes little; a small m means almost uniform temperature (efficient fin). The fin parameter is the starting point for computing the efficiency, heat rate and performance of any fin. Enter the convection coefficient, the perimeter, the conductivity and the section area.
Corrected Fin Length
Computes the corrected length of a rectangular fin, L_c = L + t/2, from the actual fin length L (m) and the fin thickness t (m). In computing a fin's efficiency, the simplest theory assumes the fin TIP is adiabatic (exchanges no heat) — a convenient simplification that makes the formulas simpler. But, in reality, the fin tip ALSO dissipates heat by convection to the fluid. The CORRECTED LENGTH method is an ingenious trick to include, approximately and simply, the tip heat exchange WITHOUT complicating the formulas: instead of treating the tip separately, the fin is fictitiously 'lengthened' by an amount that produces the same extra exchange area the real tip would have. For a rectangular fin, this lengthening is half the thickness (t/2), so the corrected length L_c = L + t/2 is used in place of the real length in the efficiency formulas (which remain the adiabatic-tip ones). For pin fins (circular section), the correction is d/4. This approximation is excellent for thin, long fins (where the tip area is small), introducing negligible error. Using the corrected length is standard practice in fin and heat-sink design, combining simplicity and accuracy. Enter the actual length and the fin thickness.
Fin Efficiency
Computes the efficiency of a rectangular fin (adiabatic tip), η = tanh(m·L_c) / (m·L_c), from the fin parameter m (1/m) and the corrected length L_c (m). The fin efficiency is one of the most important quantities in extended-surface design: it measures how much the REAL fin dissipates compared to an IDEAL fin entirely at the base temperature (the maximum possible dissipation). Since heat must conduct along the fin while being dissipated by convection, the temperature DROPS from base to tip — so the parts farther from the base are colder and dissipate less than they would at the base temperature. The efficiency (between 0 and 1) quantifies this 'loss': η = 1 would be a perfectly isothermal fin (impossible, requiring infinite conductivity); the typical efficiency of well-designed fins is between 0.7 and 0.95. The efficiency DECREASES as the product m·L_c increases — that is, very LONG fins (large L) or low-conductivity material have low efficiency (the tip stays cold and 'useless'), while short fins of good conductor (copper, aluminium) are efficient. There is an optimal length: over-lengthening the fin adds little extra heat but much material. The efficiency is used to compute the fin's real heat rate and to optimise heat-sink geometry. Enter the fin parameter and the corrected length.
Fin Heat Transfer Rate
Computes the heat rate dissipated by a fin, Q = η·h·A_fin·(T_base − T∞), from the fin efficiency η, the convection coefficient h (W/m²·K), the fin's total surface area A_fin (m²) and the temperature difference between the base and the fluid (T_base − T∞) (K); the result is in watts. This is the equation that DELIVERS the practical result of fin design: how much heat the fin actually dissipates to the environment. It combines three factors: the fin efficiency (which discounts the temperature drop along it), the convection coefficient (measuring the exchange intensity with the fluid), and the fin's total area times the available temperature difference (the 'engine' of the heat exchange). The great advantage of fins is evident in this formula: adding fins drastically INCREASES the exchange area A_fin, allowing much more heat to be dissipated from the same base — which is why processor heat sinks, power transistors and radiators are covered with fins. The fin heat rate is essential to: size electronics heat sinks (ensuring the component does not overheat), design engine radiators and finned exchangers, and compute the number and size of fins needed for a given dissipation. Summing the rates of all fins and the surface between them gives the heat sink's total dissipation. Enter the efficiency, the convection coefficient, the fin area and the temperature difference.
Fin Effectiveness
Computes the effectiveness of a fin, ε = Q_fin / (h·A_c·(T_base − T∞)), from the fin heat rate Q_fin (W), the convection coefficient h (W/m²·K), the fin base cross-section area A_c (m²) and the temperature difference (T_base − T∞) (K). The fin effectiveness answers a fundamental design question: is it WORTH adding the fin? It compares the heat the fin dissipates (Q_fin) with the heat that the SAME BASE AREA would dissipate WITHOUT a fin (just the original surface, h·A_c·ΔT). An effectiveness ε = 1 means the fin brings no benefit (dissipates the same as the bare surface it covers); ε < 1 would be WORSE than having no fin (the fin hinders!); and ε > 1 indicates gain. The rule of thumb is that fins are only justified when ε ≥ 2 (ideally much higher). Typical values of well-designed fins range from 5 to 30 or more. The effectiveness is HIGH when: the fin material has high conductivity (copper, aluminium), the fin is thin and long (much area per little base section), and the convection coefficient is LOW (paradoxically, fins are most useful in weak convection, like still air — which is why air radiators have many fins, while water-water exchangers barely need them). The effectiveness guides the decision to use fins and the choice of material and geometry. Enter the fin heat rate, the convection coefficient, the section area and the temperature difference.
Fin Thermal Resistance
Computes the thermal resistance of a fin, R_fin = 1 / (η·h·A_fin), from the fin efficiency η, the convection coefficient h (W/m²·K) and the fin surface area A_fin (m²); the result is in K/W. The fin thermal resistance expresses a fin's performance in the language of THERMAL CIRCUITS, allowing it to be easily integrated into the series-and-parallel resistance analysis of the rest of the system. The LOWER the fin's thermal resistance, the BETTER it dissipates heat (less temperature difference for the same heat rate). This concept is central in designing electronics HEAT SINKS, where the goal is to minimise the total thermal resistance between the component (which generates heat and must be kept cool) and the environment. The total resistance of the heat path — from the chip junction, through the package, the thermal interface, the heat-sink base, to the fins and the air — is the sum of the series resistances. The fins, working in parallel (each is a path), reduce the resistance of the final stage (heat-sink-to-air). Knowing the fin resistance (or the parallel fin set) allows the component's operating temperature to be computed (T_component = T_ambient + Q·R_total) and verified to be below the safe limit. It is the key tool of electronics thermal design and heat-sink selection. Enter the efficiency, the convection coefficient and the fin area.
Fin Maximum Heat Rate
Computes the maximum heat rate a fin could dissipate (ideal isothermal fin), Q_max = h·A_fin·(T_base − T∞), from the convection coefficient h (W/m²·K), the fin surface area A_fin (m²) and the temperature difference between the base and the fluid (T_base − T∞) (K); the result is in watts. The maximum heat rate is the heat the fin would dissipate if it were ENTIRELY at the base temperature — that is, if its whole surface were as hot as the attachment point. This would only be possible with a material of INFINITE thermal conductivity (which would conduct heat instantly from base to tip, with no temperature drop). It is an IDEAL limit, unattainable in practice, but extremely useful as a REFERENCE: the fin efficiency is defined exactly as the ratio between the REAL heat rate and this ideal maximum rate (η = Q_real/Q_max). Knowing Q_max allows, given the efficiency, the real rate to be quickly obtained (Q_real = η·Q_max), and vice versa. It also shows the performance 'ceiling' of a given fin geometry: no fin with that area will dissipate more than this. Comparing Q_max with the needed dissipation helps decide the fin size and number. It is a fundamental reference concept in extended-surface analysis and heat-sink design. Enter the convection coefficient, the fin area and the temperature difference.
Grashof Number
Computes the Grashof number, Gr = g·β·ΔT·L³ / ν², from the fluid thermal expansion coefficient β (1/K), the temperature difference ΔT between the surface and the fluid (K), the characteristic length L (m) and the kinematic viscosity ν (m²/s), with g = 9.81 m/s². The Grashof number is the fundamental dimensionless parameter of NATURAL (or free) CONVECTION — where the fluid motion is caused by the temperature difference itself, without a fan or pump. When a fluid is heated by a surface, it EXPANDS (becomes less dense) and RISES by buoyancy, while the colder fluid descends, creating a natural circulation that transports heat. The Grashof number represents the RATIO between the BUOYANCY forces (driving this motion, in the numerator) and the VISCOUS forces (braking it, in the denominator) — analogous to the Reynolds number in forced convection. A HIGH Grashof indicates dominant buoyancy and VIGOROUS natural convection (more heat transfer); a low Grashof indicates weak motion, dominated by viscosity. The Grashof number governs the transition of natural flow from laminar to turbulent and, combined with the Prandtl number (forming the Rayleigh number), determines the Nusselt number and the natural convection coefficient. It is essential in designing natural-convection heat sinks, passive electronics cooling, room thermal comfort and any system without forced ventilation. Enter the expansion coefficient, the temperature difference, the characteristic length and the kinematic viscosity.
Rayleigh Number
Computes the Rayleigh number, Ra = Gr·Pr, from the Grashof number Gr and the Prandtl number Pr. The Rayleigh number is the dimensionless parameter that GOVERNS natural convection — it combines, in a single number, the Grashof number (measuring the buoyancy intensity relative to viscosity) with the Prandtl number (relating momentum diffusion to heat diffusion in the fluid). It is the equivalent, in natural convection, of the role the Reynolds number has in forced convection: it is the Rayleigh number that appears in the correlations to compute the Nusselt number (and, from it, the natural convection coefficient). The Rayleigh number plays a decisive role in two aspects: (1) it determines whether convective MOTION will occur — there is a CRITICAL Rayleigh (about 1708 for a fluid layer heated from below) below which the fluid stays STATIC and heat transfers only by conduction; above it, convection begins (the famous Rayleigh-Bénard convection cells); and (2) it determines whether the convection is LAMINAR or TURBULENT (transition around Ra ≈ 10⁹). The Rayleigh number is essential in studying natural phenomena (ocean currents, Earth's mantle convection, atmospheric circulation) and in engineering design (double-glazing insulation, natural cooling, solar collectors, air cavities). Enter the Grashof number and the Prandtl number.
Diameter Ratio (Beta)
Computes the diameter ratio (beta) of a differential-pressure flow meter, β = d / D, from the restriction diameter d (of the orifice or Venturi throat) and the pipe diameter D (same unit). DIFFERENTIAL-PRESSURE flow meters — orifice plate, Venturi tube and nozzle — are the most used in industry to measure liquid and gas flow in pipes. They all work by the same principle: a RESTRICTION in the flow accelerates the fluid and creates a pressure drop; measuring this pressure drop, the flow is computed (via Bernoulli's equation). The BETA ratio (β = d/D) is the FUNDAMENTAL geometric parameter of these meters — it defines how 'tight' the restriction is. A LOW β (narrow restriction, e.g. 0.2-0.4) generates a large pressure drop (easy to measure, good sensitivity) but also a large PERMANENT head loss (energy waste). A HIGH β (wide restriction, e.g. 0.6-0.75) has less head loss but lower sensitivity. The practical range is typically 0.2 ≤ β ≤ 0.75. The beta ratio enters practically all the meter formulas: the velocity of approach factor, the flow coefficient and the head loss correction. It is the first parameter to define in designing or analysing a flow meter. Enter the restriction diameter and the pipe diameter.
Velocity of Approach Factor
Computes the velocity of approach factor of a differential-pressure flow meter, E = 1 / √(1 − β⁴), from the diameter ratio β. When Bernoulli's equation is applied to derive the flow of a differential-pressure meter (orifice plate, Venturi, nozzle), an important correction arises: the fluid is NOT at rest before reaching the restriction — it already moves with the APPROACH velocity in the pipe. The velocity of approach factor E corrects the basic flow formula to account for this initial fluid velocity in the pipe of diameter D. The factor depends only on the diameter ratio β to the fourth power: for small β (restriction very narrow relative to the pipe), E ≈ 1 (the approach velocity is negligible compared to the restriction velocity); for large β (wide restriction, close to the pipe diameter), E grows significantly above 1 (the approach velocity becomes important). The velocity of approach factor multiplies the computed flow, and combined with the discharge coefficient forms the meter's total flow coefficient. It is an essential term in the standardised formulas (ISO 5167) for orifice plates and Venturis, ensuring measurement accuracy. Enter the diameter ratio β.
Orifice Plate Flow Rate
Computes the volumetric flow rate measured by an orifice plate, Q = C_d·E·A·√(2·ΔP/ρ), from the discharge coefficient C_d, the velocity of approach factor E, the orifice area A (m²), the measured differential pressure ΔP (Pa) and the fluid density ρ (kg/m³); the result is in m³/s. The ORIFICE PLATE is the most common and economical differential-pressure flow meter in industry: a simple thin plate with a central hole, installed between flanges in the pipe. The fluid accelerates passing through the hole, creating a pressure drop (ΔP) measured by pressure taps before and after the plate; from this differential pressure, the flow is computed. The formula derives from Bernoulli's equation combined with mass conservation, corrected by two empirical factors: the DISCHARGE COEFFICIENT C_d (typically ~0.6-0.65 for orifices, correcting the contraction of the fluid jet — vena contracta — and losses) and the velocity of approach factor E. The flow is proportional to the SQUARE ROOT of the differential pressure — an important feature: doubling the flow QUADRUPLES the ΔP, which limits these meters' measurement range (turndown). The orifice plate is cheap, robust and standardised (ISO 5167), but has high permanent head loss. It is widely used in oil, gas, steam and chemical processes. Enter the discharge coefficient, the approach factor, the orifice area, the differential pressure and the density.
Venturi Meter Flow Rate
Computes the volumetric flow rate measured by a Venturi tube, Q = C_d·A·√(2·ΔP / (ρ·(1 − β⁴))), from the discharge coefficient C_d, the throat area A (m²), the differential pressure ΔP (Pa), the fluid density ρ (kg/m³) and the diameter ratio β; the result is in m³/s. The VENTURI TUBE is a more sophisticated and efficient differential-pressure flow meter than the orifice plate: it consists of a smooth converging section (accelerating the fluid), a narrow throat (where pressure is measured), and a smooth diverging section (recovering most of the pressure). The fluid accelerates in the throat, creating the measured pressure drop, from which the flow is computed. The Venturi's great advantage over the orifice plate is its SMOOTH geometry: it causes much LESS PERMANENT head loss (recovers 80-90% of the pressure, versus ~40-60% for the orifice plate), saving pumping energy — a decisive advantage at high flows and continuous operation. Also, the Venturi's discharge coefficient is HIGH and stable (~0.95-0.99, since there is little loss and the jet does not contract), and it handles dirty, particle-laden fluids better. In return, the Venturi is larger, more expensive and harder to install than the plate. It is used in water mains, treatment plants, large industrial pipes and where head loss matters. The flow is proportional to the root of the differential pressure. Enter the discharge coefficient, the throat area, the differential pressure, the density and the diameter ratio.
Flow Coefficient
Computes the flow coefficient of a differential-pressure meter, C = C_d / √(1 − β⁴), from the discharge coefficient C_d and the diameter ratio β. The flow coefficient C (also called corrected discharge coefficient) combines, in a single number, two factors correcting the ideal flow formula of a differential-pressure meter: the DISCHARGE COEFFICIENT C_d (correcting the real losses and the contraction of the fluid jet relative to ideal flow) and the velocity of approach factor 1/√(1−β⁴) (correcting the fluid velocity in the pipe before the restriction). By grouping the two, the flow coefficient simplifies the flow formula to Q = C·A·√(2ΔP/ρ), without needing to treat the factors separately. It is a practical convenience widely used in instrumentation: standards and manufacturers often provide the flow coefficient C directly tabulated as a function of the beta ratio and the Reynolds number, for each meter type (orifice plate, Venturi, nozzle). Knowing the flow coefficient allows the flow to be quickly computed from the measured differential pressure, or the meter to be sized for a given flow and pressure-drop range. It is a central parameter in calibrating and using industrial flow meters. Enter the discharge coefficient and the diameter ratio.
Orifice Permanent Pressure Loss
Computes the permanent pressure loss of an orifice plate, ΔP_perm = ΔP·(1 − β^1.9), from the measured differential pressure ΔP (Pa) and the diameter ratio β. It is important to distinguish two different concepts in a flow meter: the DIFFERENTIAL pressure (ΔP, measured between the taps before and after the restriction, used to COMPUTE the flow) and the PERMANENT head loss (the pressure drop that is NOT recovered after the meter, representing energy DEFINITIVELY lost). In the orifice plate, part of the pressure recovers downstream (as the flow decelerates), but a significant portion is irreversibly dissipated in turbulence — this is the permanent loss, representing a (pumping) energy COST over the meter's whole life. The approximate formula ΔP_perm = ΔP·(1−β^1.9) shows that the permanent loss depends strongly on the beta ratio: narrow orifices (low β) lose ALMOST ALL the differential pressure (terrible for energy, but good for sensitivity), while wide orifices (high β) recover more. This is the orifice plate's great DISADVANTAGE versus the Venturi (which recovers much more). Computing the permanent loss is essential to assess the meter's energy cost, choose between orifice plate and Venturi, and size the pump that must overcome this extra loss. Enter the differential pressure and the diameter ratio.
Orifice Pressure Drop
Computes the differential pressure generated by an orifice plate for a given flow, ΔP = [Q / (C_d·E·A)]²·ρ/2, from the flow Q (m³/s), the discharge coefficient C_d, the velocity of approach factor E, the orifice area A (m²) and the fluid density ρ (kg/m³); the result is in Pa. This is the INVERTED form of the orifice plate equation, used in SIZING the meter: given the flow to be measured and the orifice geometry, the differential pressure it will generate is computed. It is an essential design step, since the differential pressure must be in the proper RANGE of the pressure transmitter (the instrument measuring the ΔP): neither too low (below the transmitter resolution, with imprecise measurement) nor too high (exceeding the full scale or generating excessive head loss). The relation shows that the differential pressure is proportional to the SQUARE of the flow — which is why the measurement range (turndown) is limited: a plate sized for a maximum flow generates a very small ΔP at low flows, losing precision. By adjusting the orifice area (the beta ratio), the designer 'tunes' the generated ΔP to the flow range of interest and the chosen transmitter. This calculation is central to designing industrial flow measurement loops. Enter the flow, the discharge coefficient, the approach factor, the area and the density.
Mass Flow Rate
Computes the mass flow rate of a fluid, ṁ = ρ·Q, from the fluid density ρ (kg/m³) and the volumetric flow rate Q (m³/s); the result is in kg/s. The MASS flow rate is the amount of fluid MASS passing through a section per unit time — different from the VOLUMETRIC flow rate (volume per time). The conversion between the two is simply multiplication by the fluid density. This distinction is crucial in many applications: in CHEMICAL PROCESSES and in measuring fuels and gases, what matters is the mass (how many kilos of reagent, how much fuel by mass), not the volume — especially because the volume of GASES varies enormously with pressure and temperature, while the mass is conserved. Differential-pressure meters (orifice plate, Venturi) essentially measure the volumetric flow at operating conditions; to obtain the mass flow, multiply by the fluid density at those conditions. The mass flow is fundamental in mass balances, in custody transfer of oil and gas (buying and selling by mass or energy), in process control (dosing by mass) and in combustion (air-fuel ratio by mass). Dedicated mass-flow meters (like Coriolis) measure mass directly, without depending on the density. Converting between volumetric and mass flow is an everyday operation in fluid and process engineering. Enter the density and the volumetric flow rate.
Throat Velocity
Computes the fluid velocity at the throat (or orifice) of a flow meter, V = Q / A, from the flow Q (m³/s) and the throat or orifice area A (m²); the result is in m/s. The throat velocity is the maximum velocity the fluid reaches passing through the restriction of a differential-pressure meter (Venturi or orifice plate). Since the restriction has a SMALLER area than the pipe, the fluid ACCELERATES passing through it (mass conservation: same flow, smaller area = higher velocity), and it is precisely this acceleration that creates the measured pressure drop (Bernoulli: where velocity increases, pressure decreases). Knowing the throat velocity is important for several reasons: (1) checking the CAVITATION risk in liquids — if the velocity is too high, the throat pressure can drop below the liquid's vapour pressure, forming bubbles that damage the meter and ruin the measurement; (2) checking the EROSION risk of the throat from excessive velocities, especially with particle-laden fluids; (3) in gases, checking whether the velocity approaches the speed of sound (sonic/critical flow, which completely changes the meter behaviour); and (4) ensuring the velocity is within the validity range of the discharge coefficient correlations. The throat velocity is an essential verification parameter in designing and operating flow meters. Enter the flow and the throat area.
Engine Displacement
Computes an engine's total displacement, V_d = (π/4)·D²·S·N, from the cylinder bore D (cm), the piston stroke S (cm) and the number of cylinders N; the result is in cm³ (cc). The displacement is the TOTAL volume swept by an engine's pistons as they move from top dead centre to bottom, summed over all cylinders — it is the best-known 'measure' of an engine's size (e.g. a 1.0, 1.6, 2.0 litre engine). It is the product of the cylinder cross-section area (π·D²/4) by the piston stroke (S, the distance it travels) by the number of cylinders. Displacement is directly related to the engine's capacity to admit air and fuel and therefore to the power and torque it can produce: larger engines (more displacement) tend to produce more power, but consume more fuel. The relationship between bore (D) and stroke (S) also matters: long-stroke engines (S > D, 'undersquare') favour low-rpm torque; large-bore engines (D > S, 'oversquare') allow higher rpm and more peak power. Displacement is the basis for computing the compression ratio, the mean effective pressure, the specific power and the tax bracket of the vehicle in many countries. Enter the cylinder bore, the stroke and the number of cylinders.
Engine Compression Ratio
Computes the compression ratio of an internal combustion engine, r_c = (V_d + V_c) / V_c, from the displaced volume per cylinder V_d (cm³) and the combustion chamber (clearance) volume V_c (cm³). The compression ratio is the ratio between the cylinder's MAXIMUM volume (with the piston at bottom dead centre, equal to the displaced volume plus the combustion chamber) and the MINIMUM volume (with the piston at top dead centre, compressing the mixture into the chamber volume). It indicates HOW MUCH the air-fuel mixture is compressed before combustion. The compression ratio is one of the MOST important engine-design parameters, since it directly affects EFFICIENCY and POWER: the HIGHER the compression ratio, the HIGHER the thermal efficiency (the Otto cycle extracts more work from the same amount of fuel) and the more power. However, there is a LIMIT: compression ratios too high for the available gasoline cause DETONATION (uncontrolled autoignition, 'knock'), which damages the engine. So regular-gasoline engines use ratios of ~8:1 to 11:1; alcohol/ethanol engines (fuel more resistant to detonation) tolerate ~12:1 to 13:1; and DIESEL engines (which rely on compression autoignition) use very high ratios, from 14:1 to 22:1. The compression ratio is central to design, fuel choice and engine tuning. Enter the displaced volume per cylinder and the combustion chamber volume.
Brake Mean Effective Pressure (BMEP)
Computes the brake mean effective pressure (BMEP) of a four-stroke engine, BMEP = 4π·T / V_d, from the torque T (N·m) and the displacement V_d (m³); the result is in Pa. The mean effective pressure is a FICTITIOUS constant pressure that, if it acted on the pistons throughout the expansion stroke, would produce the same work (and torque) the real engine produces in a cycle. Although not a real physical pressure, BMEP is the best measure of how WELL an engine uses its displacement — it is the 'figure of merit' allowing engines of DIFFERENT SIZES to be compared fairly. Unlike power (which depends on size and rpm) and torque (which depends on size), BMEP is practically INDEPENDENT of displacement and rpm, reflecting the quality of the engine's 'breathing' (filling) and combustion. So it is widely used in automotive engineering to compare technologies: modern naturally aspirated engines reach BMEP of ~10-12 bar; TURBOCHARGED engines reach 20-30 bar or more (forced induction increases the air and fuel mass per cycle, raising BMEP); high-performance racing engines exceed this. The 4π factor comes from the four-stroke engine geometry (which produces a combustion every TWO crankshaft revolutions). BMEP is fundamental to assess and compare the intrinsic performance of engines. Enter the torque and the displacement.
Engine Volumetric Efficiency
Computes an engine's volumetric efficiency, η_v = (V_real / V_d)·100, from the air volume actually admitted per cycle V_real and the displaced volume V_d (same unit); the result is in %. The volumetric efficiency measures how WELL the engine 'breathes' — what fraction of its volumetric capacity it can actually FILL with fresh air each intake cycle. Ideally, the cylinder would fill completely with air at ambient density (η_v = 100%), but in practice there are losses: the airflow restriction in the filter, manifold, valves and throat; the air heating (which expands it and reduces the mass); and the dynamic effects of valve opening and closing. Typical naturally aspirated engines have a volumetric efficiency of 80-90% at peak-torque rpm, dropping at very high rpm (the valves cannot handle the flow) or very low rpm. The volumetric efficiency is DECISIVE for performance, since the more AIR the engine admits, the more fuel it can burn and the more power it produces — which is why so many technologies aim to improve it: variable valve timing, tuned intake manifolds, multiple valves per cylinder, and especially FORCED INDUCTION (turbo/supercharger), which forces more air in and can raise the EFFECTIVE volumetric efficiency above 100%. It is a key parameter of engine tuning and design. Enter the actual admitted volume and the displacement.
Specific Fuel Consumption
Computes the specific fuel consumption (SFC) of an engine, SFC = ṁ_fuel·1000 / P, from the fuel consumption ṁ_fuel (kg/h) and the power produced P (kW); the result is in g/kWh (grams of fuel per kilowatt-hour). The specific fuel consumption is the standard measure of an engine's EFFICIENCY in engineering: how much fuel it burns to produce one unit of useful energy (power × time). Unlike consumption measured in km/L (which depends on the vehicle, load, road), SFC isolates the performance of the ENGINE itself, allowing engines to be compared fairly, regardless of the application. The LOWER the specific consumption, the MORE EFFICIENT the engine (it uses less fuel for the same power). Typical values: gasoline engines reach a minimum SFC of ~250-270 g/kWh at their best-efficiency point; DIESEL engines are more efficient, reaching ~190-210 g/kWh (due to their higher compression ratio and absence of throttling); large optimised marine and stationary diesel engines drop below 180 g/kWh. The SFC varies with the operating point (rpm and load), and the engine's 'consumption map' shows where it is most efficient — information used to design the transmission and control strategy (to keep the engine in its 'efficiency island'). The SFC is essential to assess economy, compare engines and design propulsion systems. Enter the fuel consumption and the power.
Engine Thermal Efficiency
Computes an engine's thermal efficiency, η = P / (ṁ_fuel·LHV)·100, from the power produced P (kW), the fuel consumption ṁ_fuel (kg/s) and the fuel's lower heating value LHV (kJ/kg); the result is in %. The thermal efficiency is the fundamental measure of how well an engine converts the fuel's CHEMICAL ENERGY into useful mechanical WORK. It compares the power produced with the rate of energy DELIVERED by the fuel (consumption times heating value). The rest of the energy (most of it!) is LOST as heat: in the hot exhaust gases, the cooling system (radiator) and friction. Internal combustion engines have a surprisingly LOW thermal efficiency: conventional gasoline engines convert only ~25-35% of the fuel energy into work (the rest becomes heat); DIESEL engines, more efficient, reach 35-45%; the most advanced two-stroke marine diesel engines (the most efficient ever built) exceed 50%. There are fundamental thermodynamic limits (the Carnot cycle) preventing much higher efficiencies. The pursuit of higher thermal efficiency drives almost all engine evolution (direct injection, high compression ratios, Atkinson/Miller cycle, heat recovery, hybridisation). The thermal efficiency relates inversely to the specific consumption (more efficient engines use less fuel per kWh). It is essential to assess technologies and environmental impact. Enter the power, the fuel consumption and the heating value.
Mean Piston Speed
Computes an engine's mean piston speed, V_p = 2·S·N / 60, from the piston stroke S (m) and the engine speed N (rpm); the result is in m/s. The mean piston speed is the average speed at which the piston moves along the cylinder — computed by noting that, each crankshaft revolution, the piston travels TWICE the stroke (one down and one up), and the engine turns N revolutions per minute. Though simple, it is one of the most IMPORTANT and revealing engine-design parameters, since it is directly linked to the MECHANICAL STRESSES and DURABILITY: the faster the piston moves, the greater the inertia forces (which grow with the square of speed), the wear of the rings and cylinder, and the stress on the connecting rod and crankshaft. So the mean piston speed is an almost universal practical DESIGN LIMIT: regardless of size or type, conventional engines rarely exceed ~12-16 m/s in continuous use (production engines); high-performance racing engines reach 20-25 m/s, at the cost of reduced durability. This limit explains why LONG-stroke engines reach LOWER maximum rpm than short-stroke engines (for the same piston speed). The mean piston speed is therefore a more universal measure of an engine's 'effort' than rpm alone, being used to compare engines and estimate durability. Enter the piston stroke and the speed.
Stroke-to-Bore Ratio
Computes an engine's stroke-to-bore ratio, R = S / D, from the piston stroke S and the cylinder bore D (same unit). The stroke-to-bore ratio is a geometric parameter defining an engine's 'temperament', classifying it into three types with very different characteristics: (1) LONG-STROKE or 'undersquare' engine (S > D, R > 1): the piston travels farther than the cylinder diameter; tends to produce more low-rpm TORQUE, good efficiency and smoothness, but limits the maximum rpm (piston speed grows fast) — typical of utility, diesel and force-at-low-rpm applications; (2) SQUARE engine (S ≈ D, R ≈ 1): a balance between torque and rpm; (3) LARGE-BORE or 'oversquare' engine (D > S, R < 1): the bore is larger than the stroke; allows larger valves (better breathing) and very high rpm with a slow piston, generating more peak POWER at high rpm, at the cost of low-rpm torque — typical of sports and racing engines. The choice of stroke-to-bore ratio is one of the most fundamental engine-design decisions, defining its character (economical vs. sporty), its useful rpm range and its ideal application. It is an essential parameter in analysing and comparing engines. Enter the stroke and the cylinder bore.
Specific Power
Computes an engine's specific power (power per litre), P_esp = P / V_d, from the power P (hp or kW) and the displacement V_d (litres); the result is in power per litre. The specific power is a measure of an engine's technological 'aggressiveness' — how much power it extracts from each litre of displacement. It is the index that best reveals an engine's development level and sophistication, allowing engines of different sizes to be compared: an engine producing more power per litre is technologically more advanced (and generally more 'sporty' or highly stressed). Typical values illustrate the evolution: old or simple naturally aspirated engines produce 40-60 hp/L; modern well-developed naturally aspirated engines, 70-100 hp/L; current TURBO engines, 100-150 hp/L or more (forced induction multiplies the power per litre); racing engines (Formula 1, sport bikes) exceed 200-300 hp/L. Increasing the specific power allows SMALLER, LIGHTER engines for a given power (the 'downsizing' — an industry trend to reduce consumption and emissions, compensating the smaller size with turbo), but generally reduces durability and requires more expensive technology. The specific power is widely used in the specialised press and engineering to compare and assess engines. Enter the power and the displacement.
Compressor Pressure Ratio
Computes the pressure ratio of a turbocharger (or supercharger) compressor, PR = (boost + P_atm) / P_atm, from the boost pressure (kPa) and the atmospheric pressure P_atm (kPa). FORCED INDUCTION (turbo or supercharger) is the technology that PUSHES more air into the engine than it would naturally aspirate, allowing more fuel to be burned and much more power produced with the same engine size (downsizing). The PRESSURE RATIO (PR) is the compressor's fundamental parameter: the ratio between the ABSOLUTE pressure at the compressor outlet (atmospheric plus boost) and the inlet pressure (atmospheric). Note: it is the ABSOLUTE pressure, not the gauge — a '1 bar' boost shown on the gauge corresponds to a pressure ratio of about 2 (the absolute pressure doubles). The pressure ratio is the horizontal coordinate of the COMPRESSOR MAP (provided by the manufacturer), which shows the compressor efficiency as a function of pressure ratio and air flow — used to select the right turbo for each engine and application. Typical pressure ratios range from ~1.5 (light boost) to 3-4 (high pressure, racing engines). Very high ratios produce very hot intake air (requiring an intercooler) and can drive the compressor outside the efficient range (surge or choke). The pressure ratio is the starting point of all forced-induction design. Enter the boost pressure and the atmospheric pressure.
Compressor Outlet Temperature
Computes the ideal (isentropic) outlet temperature of a compressor, T₂ = T₁·(PR)^((γ−1)/γ), from the inlet temperature T₁ (K), the pressure ratio PR and the air specific-heat ratio γ (≈1.4); the result is in kelvin. When compressing air, the turbocharger not only raises its pressure but also HEATS it significantly — an inevitable consequence of compression thermodynamics (adiabatic compression). The isentropic (ideal, lossless) compression formula shows that the outlet temperature grows with the pressure ratio raised to (γ−1)/γ ≈ 0.286. This heating is a PROBLEM for forced induction: hot air is less dense, so part of the density gain from compression is LOST to heating — and hot intake air also increases the risk of DETONATION (knock) in the engine. For example, compressing air from 1 to 2 bar (PR = 2) raises its temperature from ~27°C (300 K) to ~93°C (366 K) by ideal compression alone — and even more in practice (with losses). It is precisely to combat this heating that the INTERCOOLER (air cooler) is used, cooling the compressed air before it enters the engine, recovering density and reducing detonation. This is the IDEAL temperature; the real one is higher, computed with the compressor's isentropic efficiency. Enter the inlet temperature, the pressure ratio and the specific-heat ratio.
Real Compressor Outlet Temperature
Computes the REAL outlet temperature of a compressor accounting for its losses, T₂ = T₁ + (T₂s − T₁) / η_c, from the inlet temperature T₁ (K), the isentropic (ideal) outlet temperature T₂s (K) and the compressor's isentropic efficiency η_c. No real compressor is perfect: besides the unavoidable thermodynamic compression, there are LOSSES (friction, turbulence, recirculation) that heat the air EVEN MORE than ideal compression — without raising the pressure. The ISENTROPIC EFFICIENCY η_c (typically 0.65 to 0.80 for automotive turbochargers) measures how close the real compressor is to ideal: a more efficient compressor heats the air less for the same compression. The formula shows that the real outlet temperature is the inlet plus the ideal temperature rise DIVIDED by the efficiency — that is, the LOWER the efficiency, the GREATER the extra heating and the hotter the intake air. This additional heating matters because it worsens the hot-air problems: lower density (power loss) and higher detonation risk. So choosing a turbo that operates in its HIGH-EFFICIENCY RANGE (on the compressor map) for the desired boost is crucial — and that is why the intercooler is almost mandatory in heavily boosted engines. This real temperature is what the intercooler must cool and what actually enters the engine (if there is no intercooler). Enter the inlet temperature, the isentropic temperature and the efficiency.
Intercooler Effectiveness
Computes the effectiveness of an intercooler, ε = (T_inlet − T_outlet) / (T_inlet − T_ambient), from the air temperature at the intercooler inlet T_inlet (°C, from the compressor), the outlet temperature T_outlet (°C, going to the engine) and the cooling ambient air temperature T_ambient (°C). The INTERCOOLER (charge air cooler) is a heat exchanger installed between the turbo compressor and the engine, whose function is to COOL the compressed air (which left the compressor hot) before it enters the cylinders. This cooling brings two crucial benefits for forced induction: (1) it INCREASES the air DENSITY (colder air is denser, so more air mass — and more fuel — fits in the cylinder, generating more power); and (2) it REDUCES the DETONATION risk (colder air is less prone to uncontrolled autoignition). The intercooler effectiveness measures how much it can cool the air: ε = 1 (100%) would mean cooling the air to ambient temperature (ideal, impossible); ε = 0 means no cooling. Typical automotive intercoolers have an effectiveness of 0.6 to 0.8 (cooling 60-80% of the available difference). Higher effectiveness requires larger intercoolers (air-air) or air-water systems. A good intercooler is essential to extract the maximum from forced induction: it can recover much of the density lost to compression heating. This is the same effectiveness of any heat exchanger, applied to the intercooler. Enter the three temperatures.
Charge Air Density
Computes the charge air density of an engine, ρ = P / (R·T), with R = 287 J/kg·K for air, from the absolute pressure in the intake manifold P (kPa) and the absolute air temperature T (K); the result is in kg/m³. The charge air density is the quantity that ultimately determines HOW MUCH POWER an engine can produce — because it is the MASS of air (not the volume) entering the cylinder that defines how much fuel can be burned, and therefore how much energy is released. The air density follows the ideal gas law: it INCREASES with pressure (which is why forced induction, raising the pressure, increases the density and power) and DECREASES with temperature (which is why hot air is an enemy of power, and the intercooler, which cools, is so valuable). This formula is the link connecting the effects of the turbocharger (which raises the pressure) and the intercooler (which lowers the temperature) to the final air density — and consequently to the engine power. Comparing the density of boosted, cooled air with that of atmospheric air gives the air-mass GAIN and the power-gain estimate. The air density also explains why engines lose power at ALTITUDE (thin, less dense air) and on hot days, and why they gain power on cold days. It is a central calculation in engine engineering and vehicle tuning. Enter the absolute manifold pressure and the air temperature.
Air Density Ratio
Computes the air density ratio between the boosted charge and the atmospheric air, DR = ρ_turbo / ρ_atm, from the boosted, cooled air density ρ_turbo (kg/m³) and the atmospheric air density ρ_atm (kg/m³). The density ratio is the DIRECT measure of the gain forced induction provides: it shows HOW MANY TIMES more air mass enters the engine because of the turbo (and intercooler), compared to the naturally aspirated engine. Since an engine's power is approximately proportional to the air mass it admits (more air = more fuel burned = more energy), the density ratio is a direct ESTIMATE of the power MULTIPLIER of forced induction. For example, a density ratio of 1.8 indicates the engine admits 80% more air — and will produce approximately 80% more power than its naturally aspirated version (discounting losses). This ratio captures the COMBINED effect of two factors: the turbo's pressure increase (which raises the density) and the intercooler's cooling (which raises the density even more). This is exactly why a turbo WITH an intercooler yields much more than a turbo without — the intercooler recovers density that would be lost to heating. The density ratio is the most intuitive way to quantify and compare the performance of different forced-induction configurations. Enter the boosted and atmospheric air densities.
Turbo Power Gain
Estimates the power of a forced-induction engine, P_turbo = P_NA · DR, from the naturally aspirated engine power P_NA (hp or kW) and the air density ratio DR (ρ_turbo/ρ_atm). This is a practical, direct estimate of the power GAIN that forced induction provides: since an engine's power is approximately proportional to the air mass it can burn each cycle, and forced induction increases this mass by the density ratio, the boosted power is the naturally aspirated power MULTIPLIED by the density ratio. For example, a 100 hp naturally aspirated engine, fitted with a turbo producing a density ratio of 1.8, should produce about 180 hp. It is a FIRST-ORDER (approximate) estimate, since in practice there are additional factors: the real gain also depends on the engine being able to inject and burn the corresponding extra fuel (the air-fuel ratio must be maintained), on mechanical limitations (the higher cylinder pressure stresses pistons, rods and gaskets), on detonation control, and on the power consumed to drive the compressor (for a mechanical supercharger) or the exhaust backpressure (for a turbo). But the formula captures the DOMINANT effect and is very useful to size forced-induction projects and estimate modification results. It is widely used in vehicle tuning. Enter the naturally aspirated power and the density ratio.
Engine Air Mass Flow
Computes the air mass flow admitted by a four-stroke engine, ṁ_air = η_v·V_d·N·ρ / (2·60), from the volumetric efficiency η_v, the displacement V_d (m³), the speed N (rpm) and the air density ρ (kg/m³); the result is in kg/s. The air mass flow is the amount of air (by mass) the engine consumes per second — an essential quantity in turbocharger selection and engine electronic management. The formula considers that, in a 4-stroke engine, each cylinder admits air every TWO crankshaft revolutions (hence the factor 2), and that the engine turns N revolutions per minute (hence the division by 60 to convert to seconds). The volumetric efficiency corrects the real cylinder filling, and the air density (which forced induction increases) converts the admitted volume into mass. The air mass flow is CRITICAL for two reasons: (1) in TURBO SELECTION — the compressor map is given as a function of air flow and pressure ratio; knowing the air flow the engine demands at peak power allows a turbo whose map covers this region with good efficiency to be chosen; and (2) in FUEL INJECTION — the injection system must supply fuel in the right proportion (air-fuel ratio) with the admitted air mass, which is why many engines directly measure the air flow (MAF sensor) to compute the injection. Computing the air mass flow is a central step in designing boosted engines. Enter the volumetric efficiency, the displacement, the speed and the air density.
Compressor Power
Computes the power needed to drive a compressor, W_c = ṁ·c_p·(T₂ − T₁), from the air mass flow ṁ (kg/s), the air specific heat at constant pressure c_p (≈1005 J/kg·K) and the compressor outlet T₂ and inlet T₁ temperatures (K); the result is in watts. Compressing air CONSUMES energy — and this energy must come from somewhere. In a SUPERCHARGER (mechanical compressor), this power is taken directly from the engine SHAFT (by belt or gear), representing a parasitic LOSS: part of the power gained by forced induction is 'paid' driving the compressor (which is why superchargers respond instantly but have this constant penalty). In the TURBOCHARGER, the brilliant trick is that this power comes 'for free' from the EXHAUST GASES (which would normally be wasted): the turbine harnesses the energy of the hot gases leaving the engine to drive the compressor, without stealing shaft power — which is why the turbo is thermodynamically more efficient (it recovers energy that would be lost). The compressor power is proportional to the air flow and the temperature rise it causes (reflecting the compression work). Computing this power is important to: size supercharger drives, check the turbine-compressor energy balance in turbos, and understand the losses and gains of forced induction. Enter the mass flow, the specific heat and the outlet and inlet temperatures.
Rolling Resistance
Computes a vehicle's rolling resistance force, F_rr = C_rr·m·g, from the rolling resistance coefficient C_rr, the vehicle mass m (kg) and the gravitational acceleration g (9.81 m/s²); the result is in N. Rolling resistance is one of the forces OPPOSING a vehicle's motion, arising mainly from the DEFORMATION of the tyres as they roll over the pavement: the tyre flattens in the contact region and, when unflattening behind, does not return all the energy (there is hysteresis in the rubber), dissipating energy as heat. Other minor contributions come from the tyre's internal friction and the bearings. The rolling resistance coefficient C_rr depends on the tyre type and pressure, the pavement and the speed: car tyres on asphalt have C_rr ≈ 0.01-0.015; low-resistance (eco) tyres, ~0.008; underinflated tyres or on dirt, much higher values. Rolling resistance is one of the main causes of fuel CONSUMPTION at low and medium speeds (at high speeds, aerodynamic drag dominates). So inflating tyres correctly and using low-resistance tyres saves fuel. Rolling resistance, together with aerodynamic drag and grade resistance, composes the total force the vehicle must overcome to move. It is a fundamental calculation in vehicle dynamics and fuel-consumption assessment. Enter the rolling coefficient and the vehicle mass.
Aerodynamic Drag Force
Computes the aerodynamic drag force on a vehicle, F_d = ½·ρ·C_d·A·V², from the air density ρ (kg/m³), the drag coefficient C_d, the frontal area A (m²) and the velocity V (m/s); the result is in N. Aerodynamic drag is the resistance the AIR offers to a vehicle's advance — the force it must overcome to 'push through' the air. It is one of the main forces resisting motion, and its most striking feature is that it grows with the SQUARE of velocity: doubling the speed QUADRUPLES the drag. So aerodynamic drag is NEGLIGIBLE at low speeds, but becomes DOMINANT at high speeds (above ~70-80 km/h for cars), becoming the main cause of fuel consumption on the highway. The force depends on four factors: the air density (lower at altitude and heat); the DRAG COEFFICIENT C_d (a dimensionless measure of the 'aerodynamics' of the vehicle shape — modern cars have C_d ≈ 0.28-0.35; trucks and SUVs, more; optimised sports cars, less); the FRONTAL AREA A (the 'size' the vehicle presents to the air); and the square of the velocity. Reducing drag (more aerodynamic shapes, smaller frontal area) is one of the main strategies to save fuel and increase top speed — hence the great attention to aerodynamic design. It is an essential calculation in vehicle dynamics and automotive design. Enter the air density, the drag coefficient, the frontal area and the velocity.
Grade Resistance
Computes a vehicle's grade resistance force, F_g = m·g·sin(θ), from the vehicle mass m (kg), gravity g (9.81 m/s²) and the grade inclination angle θ (degrees); the result is in N. Grade resistance is the component of the vehicle's WEIGHT opposing motion when it climbs an upgrade — the 'gravity force pulling the vehicle down the slope'. It arises because, on a climb, part of the vehicle's weight acts in the direction OPPOSITE to motion (parallel to the grade). The STEEPER the grade (larger angle θ) and the HEAVIER the vehicle, the GREATER the grade resistance. Unlike the other resistances (rolling and aerodynamic), grade resistance can be very LARGE and even dominant on steep climbs, and it is what most 'demands' power from the engine when climbing a hill — requiring a downshift to multiply the torque. On a DOWNGRADE (negative angle), this same force AIDS the motion (the vehicle 'gains' energy from gravity), and the engine can even brake the vehicle (engine braking). Grade resistance is fundamental in sizing engines and transmissions (to ensure the vehicle overcomes the maximum expected grades, the 'maximum gradeability' is an important specification), in computing consumption in mountainous terrain, and in analysing the performance of trucks and heavy vehicles. Together with the other resistances, it composes the total force to overcome. Enter the vehicle mass and the grade angle.
Required Tractive Force
Computes the total tractive force a vehicle needs to move, F = F_rr + F_d + F_g + m·a, from the rolling resistance F_rr (N), the aerodynamic drag F_d (N), the grade resistance F_g (N), the mass m (kg) and the desired acceleration a (m/s²); the result is in N. The tractive force is the force the vehicle must apply at the WHEELS (at the ground contact) to overcome ALL the motion resistances and still accelerate. It is the application of Newton's Second Law to the vehicle's longitudinal dynamics: the tractive force must equal the sum of all forces opposing motion (rolling, drag and grade) PLUS the force needed to accelerate the mass (m·a). This is the CENTRAL equation of vehicle dynamics, since it determines all the vehicle's demand: (1) at CONSTANT speed (a = 0), the tractive force just balances the resistances — defining the cruise power and consumption; (2) to ACCELERATE (a > 0), extra force (m·a) is needed, which limits the performance (0-100 km/h); (3) the engine, through the transmission, must supply enough torque at the wheels to generate this tractive force. Comparing the REQUIRED tractive force with the AVAILABLE tractive force (which the engine can deliver) and with the maximum tyre grip, the maximum possible acceleration and speed are determined. It is the master calculation of a vehicle's performance. Enter the three resistances, the mass and the acceleration.
Wheel Torque
Computes a vehicle's wheel torque, T_wheel = F·r, from the tractive force F (N) and the wheel dynamic radius r (m); the result is in N·m. The wheel torque is the moment of force that must be applied at the wheel axle to generate the required tractive force at the tyre-ground contact. It relates the LINEAR traction force (pushing the vehicle) with the ROTATIONAL torque the engine-transmission set delivers to the wheel: since the force is applied at the tyre periphery (at radius r), the torque is simply the force times the radius. This calculation is the 'bridge' between the longitudinal dynamics (forces moving the vehicle) and the rotational dynamics of the powertrain (engine, gearbox and differential torques). Knowing the required wheel torque allows, by dividing by the total gear ratio and the efficiency, the torque the ENGINE must produce to be determined — or, conversely, from the engine torque, the available tractive force to be computed. The dynamic radius (slightly smaller than the tyre's geometric radius, since the tyre deforms under load) is the effective rolling radius. The wheel torque is fundamental for sizing the transmission, the half-shafts, the wheel hubs and for analysing performance and traction capacity. It is also what a chassis dynamometer measures. Enter the tractive force and the wheel radius.
Total Gear Ratio
Computes a vehicle's total gear ratio, i_total = i_gearbox·i_differential, from the engaged gear ratio in the gearbox i_gearbox and the differential (final drive) ratio i_differential. The total gear ratio is the COMPLETE reduction between the engine and the wheels — how many turns the engine makes for each wheel turn. It is the product of TWO reductions in series: the GEARBOX one (which changes with the engaged gear — first gear has a high reduction, for much torque; high gears have a low reduction, for speed) and the DIFFERENTIAL one (final drive, fixed, which further multiplies the torque). The total gear ratio is a key powertrain concept, since it governs the fundamental trade-off between TORQUE and SPEED: a HIGH total ratio (much reduction) MULTIPLIES the engine torque at the wheels (good for launching, climbing grades, towing), but LIMITS the top speed and makes the engine 'rev high' for a given speed; a LOW ratio does the opposite (good for economical cruising, but little force). This is why vehicles have several gears: to match the gear ratio to each situation. The total ratio determines, together with the wheel radius and the engine speed, the vehicle speed and the tractive force in each gear. It is essential for designing the gear spacing and analysing performance. Enter the gearbox ratio and the differential ratio.
Tractive Force from Engine Torque
Computes the tractive force available at a vehicle's wheels, F = (T_engine·i_total·η) / r, from the engine torque T_engine (N·m), the total gear ratio i_total, the transmission efficiency η and the wheel dynamic radius r (m); the result is in N. This is the equation that converts the torque the ENGINE produces into the force that actually PUSHES the vehicle at the tyre-ground contact, passing through the whole powertrain. The engine torque is MULTIPLIED by the total gear ratio (gearbox × differential) — this is how high reductions generate much traction force — and then divided by the wheel radius (to convert torque into linear force). The transmission EFFICIENCY η (typically 0.85 to 0.95) discounts the friction losses in the gears, bearings and joints along the path from engine to wheels. The AVAILABLE tractive force thus computed must be compared with the REQUIRED tractive force (to overcome resistances and accelerate): if the available is greater, the vehicle accelerates; if equal, it keeps constant speed; if less, it decelerates. This force is also limited by the tyre GRIP (it is useless for the engine to generate more force than the tyre can transmit to the ground — the excess causes 'wheelspin'). The available tractive force curve in each gear, overlaid on the resistance curves, is the classic graphical tool to analyse a vehicle's performance. Enter the engine torque, the total ratio, the efficiency and the wheel radius.
Vehicle Speed from RPM
Computes a vehicle's speed from the engine rpm, V = (2π·r·N) / (60·i_total), from the wheel dynamic radius r (m), the engine speed N (rpm) and the total gear ratio i_total; the result is in m/s. This formula links the ENGINE rpm to the VEHICLE's translation speed, passing through the whole powertrain. The logic is: the engine turns at N rpm; through the transmission (total ratio i_total), the wheel turns N/i_total times slower; each wheel turn advances the vehicle one circumference (2π·r); and it is divided by 60 to convert from minutes to seconds. The relationship between rpm and speed is DIFFERENT in each gear (each has a different total ratio), which explains why, at the same speed, the engine 'revs' higher in low gears and lower in high gears. This formula is the basis of several practical analyses: (1) determining at what rpm the engine will be at a given speed in each gear (important to stay in the torque/power band or the economy zone); (2) computing the theoretical top speed in each gear (limited by the engine's maximum rpm); (3) designing the gear spacing to match the engine's useful range with the desired speeds; and (4) calibrating the speedometer. Multiplying the result by 3.6 gives the speed in km/h. It is an everyday calculation in automotive engineering and vehicle tuning. Enter the wheel radius, the engine speed and the total ratio.
Required Power at Speed
Computes the power needed to move a vehicle at constant speed, P = F·V, from the total tractive force F (N, equal to the sum of the resistances at constant speed) and the velocity V (m/s); the result is in watts. Power is the rate of work — the product of force and velocity. To keep a vehicle at CONSTANT speed, the engine must supply enough power to continuously overcome all the motion resistances (rolling, aerodynamic drag and, if any, grade). Since aerodynamic drag grows with the square of velocity (F ∝ V²), the power to overcome it grows with the CUBE of velocity (P = F·V ∝ V³) — a dramatic result: to drive at 200 km/h takes MUCH more than double the power to drive at 100 km/h (about eight times more, just for the drag). This explains why a vehicle's top speed is so 'expensive' in power, and why small increases in top speed require large increases in power. The power needed at cruise speed also directly determines the fuel CONSUMPTION while travelling (more power = more fuel per hour). This formula is fundamental to: size the engine for a desired top speed, compute consumption at different speeds, and understand the trade-off between performance and economy. Multiplying by 0.00136 converts from W to metric hp. Enter the tractive force and the velocity.
Brake Load Transfer
Computes the longitudinal load transfer during braking, ΔW = (m·a·h) / L, from the vehicle mass m (kg), the deceleration a (m/s²), the centre-of-gravity height h (m) and the wheelbase L (m); the result is in N. When a vehicle BRAKES, the weight shifts dynamically from the rear axle to the FRONT — the 'dive' phenomenon, where the front sinks and the rear rises. This happens because the braking force acts at ground level, while the vehicle's inertia acts at the centre of gravity (at a height h): this 'lever arm' creates a moment transferring load to the front. The load transfer INCREASES with deceleration, mass and CG height, and DECREASES with the wheelbase. This effect has important consequences: (1) the front wheel becomes more loaded (more grip available, which is why front brakes are larger and do 60-80% of the braking) and the rear becomes lighter (less grip, possibly locking and losing stability — hence the importance of brake distribution and ABS); (2) it defines the suspension geometry (anti-dive); and (3) it affects stability. Vehicles with a low CG and long wheelbase (sports cars) have less load transfer and brake better. Computing the load transfer is fundamental in designing the brake and suspension systems. Enter the mass, the deceleration, the CG height and the wheelbase.
Braking Deceleration
Computes a vehicle's maximum braking deceleration, a = μ·g, from the tyre-pavement friction coefficient μ and gravity g (9.81 m/s²); the result is in m/s². The maximum deceleration a vehicle can reach in braking is LIMITED by the tyres' GRIP on the ground — not by the brakes' power. No matter how powerful the brakes, they cannot decelerate the vehicle faster than the friction between tyre and pavement allows to be transmitted: exceeding this limit, the wheel LOCKS and slides, and the grip drops (kinetic friction is less than static), increasing the braking distance and making the vehicle lose directional control — exactly what ABS prevents by modulating the braking to keep the wheels at the grip limit without locking. The maximum deceleration is simply the friction coefficient times gravity: on dry good asphalt (μ ≈ 0.8-0.9), a car can decelerate at ~8-9 m/s² (about 0.8-0.9 g); on wet pavement (μ ≈ 0.5), it drops to ~5 m/s²; on ice (μ ≈ 0.1), only ~1 m/s² (very dangerous braking). This deceleration directly determines the braking distance (d = V²/2a) and the stopping time. Understanding that braking is limited by grip (not by the brakes) is fundamental for safety and explains the importance of tyres, pavement condition and ABS. Enter the friction coefficient.
Total Braking Force
Computes a vehicle's maximum braking force, F_b = μ·m·g, from the tyre-pavement friction coefficient μ, the vehicle mass m (kg) and gravity g (9.81 m/s²); the result is in N. The braking force is the force DECELERATING the vehicle, generated at the tyre-ground contact by the brakes. As with deceleration, the MAXIMUM braking force is limited by GRIP: it is the product of the friction coefficient and the force pressing the tyres against the ground (the weight, m·g). No matter the force the brakes apply to the discs — the force that actually decelerates the vehicle cannot exceed μ·m·g, because beyond that the wheels lock. This force is the sum of the braking forces of all four wheels, and its value defines the vehicle's braking performance. The braking force is important to: (1) check the vehicle's stopping capacity; (2) size the brake system components (which must be able to generate at least this force at the grip limit); (3) compute the braking distance; and (4) design the axle distribution (each axle can only brake up to the grip limit of the load it carries — and the braking load transfer changes these loads). Heavier vehicles need more braking force (larger brakes) for the same deceleration. The braking force is central in brake engineering and vehicle safety. Enter the friction coefficient and the mass.
Front Brake Force Distribution
Computes the ideal fraction of braking force that should go to the front axle, φ = (b + μ·h) / L, from the distance from the centre of gravity to the rear axle b (m), the friction coefficient μ, the CG height h (m) and the wheelbase L (m). The brake DISTRIBUTION between front and rear axles is a critical safety aspect: ideally, both axles should reach the grip limit SIMULTANEOUSLY, using all possible braking without any wheel locking first. Because of the braking load transfer (which unloads the rear and loads the front), the FRONT axle bears more weight during braking and should therefore receive the LARGER part of the braking force — typically 60-80%. The formula computes this ideal fraction considering the vehicle geometry and grip. This is why, in practice, front brakes are LARGER (bigger ventilated discs, calipers with more pistons) than rear ones. A poorly designed distribution is dangerous: if the rear brakes too much, it locks first and the vehicle 'spins' (loses the rear, a very unstable situation); if the front locks first, the vehicle loses steering but tends to go straight (safer) — which is why designs lean slightly toward front braking. Modern systems use EBD (electronic distribution) to optimise the distribution in real time. Note that the ideal distribution changes with load and grip. Enter the CG-rear-axle distance, the friction coefficient, the CG height and the wheelbase.
Brake Hydraulic Pressure
Computes the hydraulic pressure generated in the brake system, P = (F_pedal·RP) / A_mc, from the force applied to the pedal F_pedal (N), the pedal lever ratio RP and the master cylinder area A_mc (m²); the result is in Pa. The HYDRAULIC brake system transmits the force from the driver's foot to the wheel calipers/cylinders through an incompressible fluid, using two force-amplification principles: (1) the PEDAL LEVER (ratio RP, typically 4 to 6), which mechanically multiplies the foot force before the master cylinder; and (2) PASCAL's principle in the hydraulic circuit, where the pressure generated in the master cylinder (force divided by its area) transmits equally to all wheels and acts on the larger area of the caliper pistons, generating a much greater force (hydraulic amplification). The hydraulic pressure is therefore the system's 'currency': generated in the master cylinder, it determines the force with which the pads press the discs at each wheel. Systems with a brake booster (vacuum) add even more amplification, using the engine vacuum. Computing the hydraulic pressure is essential to: size the master cylinder, calipers and lines (which must withstand pressures up to ~10 MPa or 100 bar in hard braking); assess the driver's pedal effort; and diagnose problems (a 'soft' pedal indicates air in the system or a leak, reducing the pressure). It is a fundamental calculation in brake-system design. Enter the pedal force, the lever ratio and the master cylinder area.
Brake Disc Torque
Computes the braking torque generated in a brake disc, T_b = μ·N·r, from the friction coefficient between pad and disc μ, the normal force applied by the caliper N (N) and the effective pad-action radius r (m); the result is in N·m. The braking torque is the moment the brake applies to DECELERATE the wheel rotation. In a DISC brake (the most common in modern vehicles), the caliper presses the pads against the disc rotating with the wheel; the friction force between pad and disc (μ·N) acts at the effective radius r (midway between the pad's inner and outer edges), generating the braking torque. This torque, divided by the wheel radius, gives the braking force at the ground contact. The formula shows the factors determining the braking capacity: (1) the pad FRICTION COEFFICIENT (high-friction materials brake more, but wear faster and may squeal); (2) the caliper FORCE (proportional to the hydraulic pressure and the piston area — calipers with more pistons generate more force); and (3) the effective RADIUS (larger discs generate more torque with the same force, which is why sports cars use big discs). Knowing the braking torque is essential to size the system: ensuring it generates enough torque to lock the wheel at the grip limit, without oversizing. The disc brake is superior to the drum by dissipating heat better (resisting 'fade') and having a more linear response. Enter the friction coefficient, the normal force and the effective radius.
Maximum Cornering Speed
Computes the maximum speed a vehicle can take a flat curve (no superelevation), V_max = √(μ·g·R), from the tyre-pavement friction coefficient μ, gravity g (9.81 m/s²) and the curve radius R (m); the result is in m/s. When taking a curve, a vehicle needs a CENTRIPETAL force (pointing to the curve centre) to change its direction — and this force can only come from the LATERAL FRICTION between tyres and pavement. The available friction force is limited (μ·m·g), so there is a MAXIMUM speed above which the friction cannot provide the necessary centripetal force, and the vehicle SKIDS out of the curve (loses lateral grip). This maximum speed depends on the friction coefficient (good tyres and dry pavement allow more speed; wet or oily pavement, much less), and on the square root of the curve radius (more OPEN curves, of larger radius, allow higher speeds; tight curves require slowing down a lot). Note that the vehicle mass CANCELS out (it does not appear in the formula): in theory, a light and a heavy car take the same curve at the same maximum speed (in practice, there are differences due to load transfer and tyre characteristics). This is the basis of curve safety and the geometric design of highways (which add superelevation — road banking — to allow higher speeds safely). Exceeding the maximum cornering speed is a major cause of accidents. Enter the friction coefficient and the curve radius.
Lateral Acceleration (g)
Computes a vehicle's lateral acceleration in a curve, in multiples of g, a_lat = V² / (R·g), from the velocity V (m/s), the curve radius R (m) and gravity g (9.81 m/s²); the result is dimensionless (in 'g'). The lateral acceleration is the centripetal acceleration the vehicle experiences taking a curve, expressed in multiples of gravity (g) — an intuitive, standard way to measure the 'lateral force' in curves and a vehicle's grip performance. It is the acceleration that 'throws' the occupants to the outside of the curve (the perceived centrifugal force) and that the tyres must counterbalance with lateral grip. The lateral acceleration grows with the SQUARE of velocity and decreases with the radius: taking a tight curve at high speed generates intense lateral acceleration. Typical values: ordinary passenger cars tolerate ~0.8 g in a curve before skidding; sports cars with good tyres, ~1.0-1.1 g; racing cars (Formula 1, with aerodynamics increasing grip), over 4-5 g! Above ~0.4-0.5 g, occupants already feel strong discomfort. The maximum lateral acceleration a vehicle reaches is a key measure of its dynamic performance (published in magazine 'skidpad' tests), determined by the tyre grip, the suspension and the centre of gravity. It is also the safety limit in curves and the comfort parameter in road design. Enter the velocity and the curve radius.
Rollover Threshold Speed
Computes a vehicle's rollover threshold speed in a curve, V_t = √(g·R·t / (2·h)), from gravity g (9.81 m/s²), the curve radius R (m), the track width (distance between same-axle wheels) t (m) and the CG height h (m); the result is in m/s. There are TWO ways a vehicle can lose control in a fast curve: (1) SKID, when the tyre friction cannot handle the centripetal force — and (2) ROLL OVER (rollover), when the moment of the centrifugal force about the outer wheels exceeds the stabilising moment of the weight, and the vehicle rotates about its own longitudinal axis. Which occurs FIRST depends on the geometry: LOW and WIDE vehicles (sports cars) tend to skid before rolling (safer, skidding is controllable); TALL and NARROW vehicles (SUVs, vans, trucks, buses) have a high centre of gravity and can ROLL OVER before skidding — much more dangerous. The rollover threshold speed depends on the track width (wider, more stable) and INVERSELY on the CG height (higher, less stable). This formula assumes a rigid vehicle (no suspension roll, which in practice worsens it slightly); the real rollover occurs at a slightly lower speed. Computing the rollover speed is fundamental in vehicle safety, especially for cargo vehicles, buses and SUVs, and relates to the Static Stability Factor (SSF). Enter the curve radius, the track width and the CG height.
Transverse Module (Helical Gear)
Computes the transverse module of a helical gear, m_t = m_n / cos(ψ), from the normal module m_n (mm) and the helix angle ψ (degrees). HELICAL gears have their teeth inclined in a helix relative to the axis, unlike STRAIGHT-tooth (spur) gears. This inclination brings important advantages: the teeth mesh GRADUALLY (a contact point that moves along the tooth, instead of the whole tooth contacting at once), making the operation much SMOOTHER and QUIETER, with higher load capacity and contact ratio. So helical gears are preferred in automotive gearboxes, reducers and applications requiring smoothness. The tooth inclination, however, requires distinguishing TWO measurement planes: the NORMAL plane (perpendicular to the tooth, where the cutting tool works — hence the normal module m_n is the standardised one used to specify the gear) and the TRANSVERSE plane (perpendicular to the axis, in which the gear 'sees' the meshing). The transverse module m_t, always LARGER than the normal one (since cos ψ < 1), governs the geometry in the rotation plane: the pitch diameter, the transverse pitch and the meshing. It is the starting point of the geometric calculation of helical gears. Enter the normal module and the helix angle.
Normal Pitch
Computes the normal pitch of a helical gear, p_n = π·m_n, from the normal module m_n (mm); the result is in mm. The pitch is the distance between consecutive teeth of a gear, measured along the pitch circle. In helical gears, several pitches are distinguished by the measurement direction; the NORMAL pitch is the pitch measured in the plane perpendicular to the tooth (in the direction normal to the helix) — the plane in which the cutting tool (hob) actually forms the tooth. So the normal pitch is directly linked to the NORMAL module (the standardised one): p_n = π·m_n, the same simple relation as spur gears. The normal pitch defines the tooth size and therefore the gear strength (larger teeth, larger pitch, carry more load). Since the manufacturing tool operates in the normal plane, it is the normal pitch (and module) that is standardised and specified when ordering or designing a helical gear — two gears only mesh if they have the same normal module and the same normal pressure angle. From the normal pitch, and knowing the helix angle, the transverse and axial pitches are derived. It is a fundamental parameter in defining the tooth size. Enter the normal module.
Transverse Pitch
Computes the transverse pitch of a helical gear, p_t = π·m_n / cos(ψ), from the normal module m_n (mm) and the helix angle ψ (degrees); the result is in mm. The transverse pitch is the distance between consecutive teeth measured in the TRANSVERSE plane — the plane perpendicular to the gear AXIS, which is the rotation plane. It is the pitch you 'see' looking at the gear from the front (in the axis direction). Since the helical gear teeth are inclined by the helix angle ψ, the pitch measured in the transverse plane is LARGER than the normal pitch (measured perpendicular to the tooth) — hence the division by cos(ψ). The transverse pitch is important because it governs the MESHING in the rotation plane: it relates to the transverse module (p_t = π·m_t), the pitch diameter and the transverse contact ratio. It is in the transverse plane that the meshing kinematics (how the teeth slide and roll over one another) and the contact continuity are analysed. The distinction between normal pitch (manufacturing) and transverse pitch (operation) is one of the features making helical gear design more elaborate than spur gear design — but it is this inclined geometry that provides the smoother operation. Enter the normal module and the helix angle.
Axial Pitch
Computes the axial pitch of a helical gear, p_x = π·m_n / sin(ψ), from the normal module m_n (mm) and the helix angle ψ (degrees); the result is in mm. The axial pitch is the distance between consecutive teeth measured along the gear AXIS (in the axial direction). It represents how much the tooth helix advances in the axis direction per tooth. The axial pitch is INVERSELY proportional to the sine of the helix angle: small helix angles (almost straight gears) have a very large axial pitch, while large helix angles have a small axial pitch. This parameter is CRUCIAL for the so-called AXIAL CONTACT RATIO (or overlap ratio): for the helical gear to have the smooth operation that characterises it, the gear WIDTH must be greater than the axial pitch (ideally, the width should contain at least one full axial pitch, ensuring an axial contact ratio ≥ 1). This ensures there is ALWAYS at least one tooth pair in contact along the whole face, eliminating the meshing 'jumps' of spur gears — which is exactly what makes helical gears quiet. The axial pitch is also important in crossed helical gears and worms. It is a key parameter linking the tooth geometry to the meshing quality. Enter the normal module and the helix angle.
Helical Gear Pitch Diameter
Computes the pitch diameter of a helical gear, d = m_n·N / cos(ψ), from the normal module m_n (mm), the number of teeth N and the helix angle ψ (degrees); the result is in mm. The pitch diameter is the diameter of the pitch circle — the imaginary circle where, in two meshed gears, the teeth 'roll' over one another without sliding (equivalent to two friction cylinders that would transmit the same motion). It is the MOST important geometric quantity of a gear, since it defines its effective size, the centre distance (the sum of the pitch radii of two meshed gears) and the transmission ratio. In helical gears, the pitch diameter is computed with the TRANSVERSE module (m_t = m_n/cos ψ), since the gear 'rolls' in the transverse plane. So, for the same normal module and number of teeth, a helical gear has a LARGER pitch diameter than a spur gear — an effect of the helix angle. An important practical consequence: the helix angle offers an extra 'degree of freedom' to the designer to adjust the centre distance of a gear pair to a desired value (by varying ψ), without changing the module or the number of teeth — flexibility that spur gears do not have. The pitch diameter is the central point of sizing any gear transmission. Enter the normal module, the number of teeth and the helix angle.
Virtual (Equivalent) Teeth Number
Computes the virtual (or equivalent) number of teeth of a helical gear, N_v = N / cos³(ψ), from the actual number of teeth N and the helix angle ψ (degrees). The virtual number of teeth is an ingenious concept used in computing the STRENGTH of helical gear teeth. Since the helical tooth is inclined, its shape in the NORMAL plane (the plane in which the bending stress is analysed) corresponds to that of a tooth of a larger, IMAGINARY SPUR gear with a FICTITIOUS number of teeth N_v — always greater than the actual number N. This 'trick' allows the same formulas and factors of spur gears (like the Lewis form factor and the AGMA geometry factors) to be used to compute the bending and wear strength of helical teeth, simply by entering the tables with the VIRTUAL number of teeth instead of the actual one. An important practical consequence: since N_v > N, a helical gear has 'more robust' teeth (with a better form factor) and resists more load than a spur gear with the same actual number of teeth — another helical advantage. The virtual number is also used to check INTERFERENCE/undercut: the minimum number of teeth to avoid interference is smaller in helical gears (due to the virtual-number effect), allowing pinions with fewer teeth. It is a key concept in helical gear strength analysis. Enter the actual number of teeth and the helix angle.
Transverse Pressure Angle
Computes the transverse pressure angle of a helical gear, φ_t = arctan(tan(φ_n) / cos(ψ)), from the normal pressure angle φ_n (degrees) and the helix angle ψ (degrees). The pressure angle is the angle between the line of action of the force transmitted between the teeth and the tangent to the pitch circle — a fundamental parameter determining the DIRECTION of the forces in the meshing and the shape of the tooth profile (involute). The standardised value is the NORMAL pressure angle φ_n (typically 20°), measured in the plane normal to the tooth, where the cutting tool forms it. But, like the modules and pitches, the pressure angle also has a different value in the TRANSVERSE plane (perpendicular to the axis, the rotation plane): the transverse pressure angle φ_t, always LARGER than the normal one. It is the transverse pressure angle that governs the meshing geometry in the rotation plane (the line of action, the contact length, the transverse contact ratio) and the force decomposition. Knowing φ_t is essential to compute the components of the forces acting on the helical teeth — the tangential force (transmitting the torque), the radial force (tending to separate the gears) and the axial force (the thrust characteristic of helical gears). The relationship between the normal and transverse angles is one of the geometric particularities distinguishing helical from spur gears. Enter the normal pressure angle and the helix angle.
Helical Gear Radial Force
Computes the radial force in a helical gear, W_r = W_t·tan(φ_n) / cos(ψ), from the tangential force W_t (N), the normal pressure angle φ_n (degrees) and the helix angle ψ (degrees); the result is in N. In a helical gear's meshing, the force one tooth exerts on the other decomposes into THREE orthogonal components: the TANGENTIAL force W_t (the useful one, transmitting the torque, in the motion direction), the RADIAL force W_r (pointing to the gear centre, tending to SEPARATE the two meshed gears) and the AXIAL force W_a (parallel to the axis, characteristic of helical gears). The radial force is the component that 'pushes' the shafts apart — it loads the BEARINGS in the radial direction and tends to bend the shafts, being essential to correctly size the bearings and shaft stiffness. The radial force depends on the tangential force and the (transverse) pressure angle, hence the presence of tan(φ_n)/cos(ψ): larger pressure angles generate more radial force (more separation). Together with the tangential and axial forces, the radial force composes the complete loading the teeth, shafts and bearings of a helical transmission must withstand. Computing the three force components is a mandatory step in designing any gear transmission, and in helical gears there is the additional complication of the axial force. Enter the tangential force, the normal pressure angle and the helix angle.
Helical Gear Axial Force (Thrust)
Computes the axial force (thrust) in a helical gear, W_a = W_t·tan(ψ), from the tangential force W_t (N) and the helix angle ψ (degrees); the result is in N. The axial force (or thrust) is the most distinctive feature — and the main DISADVANTAGE — of helical gears relative to spur gears. Because of the tooth inclination, while transmitting torque, the helical gear generates a force along the AXIS direction (parallel to it), tending to 'push' the gear (and the shaft) sideways. Spur gears do NOT produce this axial force. The axial force grows with the tangent of the helix angle: large helix angles (giving smoother, quieter operation) generate MORE axial force — hence the design trade-off (typical angles of 15° to 30° balance smoothness and thrust). This axial force must be ABSORBED by THRUST bearings (axial bearings, or angular contact), which add cost and complexity — it is the helical 'penalty'. An elegant solution is the HERRINGBONE (double-helical) gear, combining two opposite helices, CANCELLING the axial forces between them (but more expensive to manufacture). Computing the axial force is MANDATORY in designing helical transmissions to correctly size the thrust bearings and shafts. It is the component that most distinguishes helical design from spur design. Enter the tangential force and the helix angle.
Worm Lead
Computes the lead of a worm, L = π·m·n_w, from the module m (mm) and the number of worm starts (threads) n_w. The WORM and worm gear set is a special gear type used to obtain LARGE speed REDUCTIONS in a single stage (ratios from 5:1 up to 100:1 or more), with perpendicular, non-intersecting shafts. It is widely used in reducers, lifts, rotary tables, hoisting systems and where much reduction with compactness is needed. The LEAD is the axial distance the worm gear travels when the worm makes one complete turn — analogous to a power screw's lead. It is the product of the axial pitch by the number of STARTS (threads) of the worm: a single-start worm (the most common, for maximum reduction and self-locking tendency) advances one pitch per turn; multi-start worms (2, 3, 4) advance more per turn, giving LESS reduction but HIGHER efficiency. The lead is the key parameter governing the transmission ratio, the lead angle and the set's efficiency. Knowing the lead is the starting point for sizing a worm reducer. Enter the module and the number of starts.
Worm Lead Angle
Computes the lead angle of a worm, λ = arctan(L / (π·d_w)), from the lead L (mm) and the worm pitch diameter d_w (mm); the result is in degrees. The lead angle is the inclination of the worm thread relative to a plane perpendicular to its axis — geometrically, the angle of a ramp whose horizontal length is the pitch circumference (π·d_w) and whose height is the lead L. It is the parameter most influencing the worm set's behaviour. A SMALL lead angle (single-start worm, 'fine' thread) results in: LARGE reduction, strong SELF-LOCKING tendency (the gear cannot move the worm — useful for safety in lifts and systems that must 'hold' the load), but LOW efficiency (much friction, much heat). A LARGE lead angle (multiple starts) gives: less reduction, HIGHER efficiency, and generally NOT self-locking. There is a fundamental trade-off: high efficiency requires a large angle, but this reduces the self-locking capacity and the maximum reduction. The lead angle also enters the efficiency, sliding velocity and force calculations. It is the central parameter of worm reducer design, balancing reduction, efficiency and self-locking. Enter the lead and the worm pitch diameter.
Worm Gear Ratio
Computes the transmission ratio of a worm set, i = N_g / n_w, from the worm gear teeth N_g and the number of worm starts n_w. The great advantage of the worm set is the ability to produce VERY HIGH REDUCTIONS in a single gear pair — something that would require several stages with ordinary gears. The transmission ratio is simply the worm gear teeth divided by the number of STARTS (threads) of the worm. This happens because, each complete worm turn, the gear advances only the equivalent of the worm's number of starts (a single-start worm makes the gear advance one tooth per turn; a two-start one, two teeth; and so on). So a SINGLE-start worm meshing with a 40-tooth gear gives a 40:1 reduction — enormous for a single pair! Multi-start worms reduce the ratio (and increase the efficiency). This capacity for large compact reduction, combined with quiet operation and the possibility of self-locking, makes the worm set ideal for hoists, lifts, indexing tables, tuning mechanisms and any application needing much reduction with few components. The transmission ratio is the starting point of the design: from the desired reduction, the worm gear teeth and the worm starts are chosen. Enter the worm gear teeth and the number of starts.
Worm Gear Pitch Diameter
Computes the worm gear pitch diameter of a worm set, d_g = m·N_g, from the module m (mm) and the worm gear teeth N_g; the result is in mm. The WORM GEAR (the larger gear of the set, meshing with the worm) has its pitch diameter computed as the product of the module by the number of teeth — the same basic relation as any gear. The worm gear pitch diameter is a fundamental design quantity, since it defines: (1) the reducer's physical size; (2) the centre distance (the sum of the worm gear pitch radius with the worm's); (3) the peripheral velocity and the sliding velocity between worm and gear; and (4) the available output torque (torque = tangential force × pitch radius). Since worm sets have large reductions, the worm gear usually has MANY teeth (40, 60, 80 or more), resulting in considerable diameters — which contributes to the reducer's robustness and load capacity, but also to its size and weight. The worm gear diameter, together with the worm's, defines the pair's complete geometry and is essential for sizing the housing, the bearings and the lubrication system (which is critical in worm gears, due to the high sliding and generated heat). It is a central design parameter. Enter the module and the worm gear teeth.
Worm Center Distance
Computes the centre distance of a worm set, C = (d_w + d_g) / 2, from the worm pitch diameter d_w (mm) and the worm gear pitch diameter d_g (mm); the result is in mm. The centre distance is the distance between the worm axis and the worm gear axis — a fundamental MOUNTING quantity, since it defines the positioning of the two shafts in the reducer housing and is often the parameter by which commercial worm reducers are DESIGNATED and selected (e.g. 'worm reducer of 63 mm centre distance'). As in any meshing, the centre distance is the average of the pitch diameters (the sum of the pitch radii): the worm and worm gear pitch circles must be tangent for them to mesh correctly. The centre distance is directly linked to the reducer's capacity: larger distances accommodate larger gears, more teeth in contact and higher transmissible torque. Manufacturers standardise reducer lines by centre distance (40, 50, 63, 80, 100 mm...), each with a range of available torques and reductions. The centre distance is therefore a key parameter both in design (defining the reducer size) and in selection (choosing the right commercial reducer for the application). It is also essential for machining the housing and aligning the shafts. Enter the worm and worm gear pitch diameters.
Worm Gear Efficiency
Computes the efficiency of a worm set, η = (cos φ_n − μ·tan λ) / (cos φ_n + μ/tan λ), from the lead angle λ (degrees), the normal pressure angle φ_n (degrees) and the friction coefficient μ. Efficiency is the Achilles' heel of worm reducers: because of the intense SLIDING between the worm thread and the gear teeth (they slide over one another, unlike ordinary gears that roll), there is much FRICTION and heat dissipation — making the worm set significantly LESS efficient than other gear types. The efficiency depends strongly on the lead angle and friction: SMALL lead angles (single-start worm, high reduction) have LOW efficiency (50-70% or less), while LARGE angles (multiple starts) reach 85-95%. There is a fundamental trade-off: the configurations giving the most reduction and self-locking are precisely those of lowest efficiency. The losses become HEAT, which must be dissipated by the housing (which is why worm reducers have fins and require special lubrication) — and in high-power cases, this limits continuous use. The low efficiency also means part of the input power is wasted, raising the operating cost. Despite this, the compactness of large reduction and self-locking justify the worm set's use in many applications. Computing the efficiency is essential to size the motor, predict the heating and assess the energy cost. Enter the lead angle, the pressure angle and the friction coefficient.
Worm Sliding Velocity
Computes the sliding velocity between the worm and the worm gear, V_s = π·d_w·N / (60000·cos λ), from the worm pitch diameter d_w (mm), the worm speed N (rpm) and the lead angle λ (degrees); the result is in m/s. The sliding velocity is the RELATIVE speed at which the worm thread surface SLIDES against the worm gear teeth at the contact point. It is a CRITICAL quantity in worm sets, since, unlike ordinary gears (where the teeth basically ROLL over one another with little sliding), in the worm there is CONTINUOUS, intense sliding — similar to a screw thread. This sliding is the cause of the low efficiency, the heating and the WEAR of the set. The sliding velocity is the most important parameter for: (1) selecting the proper LUBRICANT (special extreme-pressure oils, often with additives, since the lubricant film must resist continuous sliding); (2) choosing the MATERIALS (the worm gear is usually BRONZE, which has good anti-friction and anti-wear properties against the hardened-steel worm); (3) estimating heat generation and sizing the cooling; and (4) predicting the service life (high sliding velocities accelerate wear). High sliding velocities require more sophisticated materials and lubrication. Computing the sliding velocity is therefore essential in designing and maintaining worm reducers. Enter the worm diameter, the speed and the lead angle.
Worm Self-Locking Margin
Computes the self-locking margin of a worm set, m = arctan(μ) − λ, from the friction coefficient μ and the lead angle λ (degrees); the result is in degrees. SELF-LOCKING (or irreversibility) is a VALUABLE, exclusive property of low-lead-angle worm sets: the worm can move the gear (normal drive), but the gear CANNOT move the worm back — the set 'locks' when the drive stops. This is extremely useful in applications needing to HOLD a load safely without an external brake: hoists, lifts, chain blocks, gates, lift tables and positioning mechanisms (the load does not descend on its own when the motor is turned off). The self-locking condition is that the lead angle be SMALLER than the friction angle (λ < arctan μ). This calculator gives the MARGIN: if the result is POSITIVE (arctan μ > λ), the set is SELF-LOCKING (safe to hold a load); if NEGATIVE, it is NON-self-locking (the load descends on its own — a brake is needed). Important: single-start worms (small lead angle) tend to be self-locking but have low efficiency; multi-start worms (large angle) are efficient but generally NOT self-locking. There is therefore a fundamental trade-off between self-locking (safety) and efficiency. Note: STATIC self-locking can fail under VIBRATION (which reduces the effective friction) — in safety-critical applications, an additional brake is always recommended. Enter the friction coefficient and the lead angle.
Worm Gear Output Torque
Computes the output torque of a worm reducer, T_out = T_in·i·η, from the input torque T_in (N·m), the transmission ratio i and the efficiency η. The output torque is the torque available at the worm gear shaft (the reducer output) — what actually drives the load. The worm reducer MULTIPLIES the motor torque by the transmission ratio (the same property of any reducer: it reduces the speed and multiplies the torque in the same proportion). So worm reducers, with their large reductions, generate ENORMOUS output torques from relatively small motors — ideal for hoists, lifts and high-torque, low-speed applications. HOWEVER, unlike ordinary (high-efficiency) gear reducers, in the worm the EFFICIENCY (which is low, 50-90%) must be discounted, since a significant part of the power is lost to sliding friction. So the real output torque is the input torque multiplied by the ratio AND by the efficiency. Ignoring the efficiency would overestimate the available torque. Knowing the output torque is essential to: check whether the reducer can move the load; select the right reducer (manufacturers specify the maximum output torque); and size the output shaft, the coupling and the downstream components. It is the parameter connecting the motor to the driven load. Enter the input torque, the transmission ratio and the efficiency.
Bevel Pinion Pitch Angle
Computes the pitch angle (cone half-angle) of the pinion of a bevel gear pair with 90° shafts, γ = arctan(N_p / N_g), from the pinion teeth N_p and the gear teeth N_g; the result is in degrees. BEVEL gears are used to transmit motion between shafts that INTERSECT (typically at 90°), unlike cylindrical gears (parallel shafts) and worms (perpendicular non-intersecting shafts). They are essential in automotive differentials, right-angle reducers, power tools and machines where the transmission must 'turn a corner'. Unlike cylindrical gears (whose teeth lie on cylinders), bevel gear teeth lie on CONES — hence the name. The pitch angle (or pitch cone angle) is the half-angle of each gear's pitch cone: it defines the cone inclination and therefore the geometry of the whole bevel gear. For a pair with 90° shafts, the pinion and gear pitch angles SUM to 90°, and each depends on the ratio between the tooth numbers: the pinion (smaller, with fewer teeth) has a SMALLER pitch angle, and the gear (larger) has a LARGER angle. The pitch angle is the starting point of bevel gear design — from it derive the cone distance, the virtual teeth number (for strength calculation by Tredgold's approximation) and the force decomposition. Enter the pinion and gear teeth.
Bevel Gear Pitch Angle
Computes the pitch angle (cone half-angle) of the gear of a bevel gear pair with 90° shafts, Γ = arctan(N_g / N_p), from the gear teeth N_g and the pinion teeth N_p; the result is in degrees. In a bevel gear pair with 90° shafts, each gear has its own pitch cone, and the pinion (γ) and gear (Γ) pitch angles are COMPLEMENTARY (summing 90°). The gear, being the LARGER one (more teeth), has the LARGER pitch angle — its cone is more 'open' (flatter). In the special case where pinion and gear have the SAME number of teeth (1:1 ratio), both pitch angles are 45°, and the gears are called 'miter gears', used only to change the shaft direction without changing the speed. The gear pitch angle, together with the pinion's, fully defines the angular geometry of the bevel pair and is essential to: compute the cone distance, correctly position the gears in assembly (the apex of the two cones must coincide at the shaft intersection point), determine the force directions (especially the axial force, which tends to separate the bevel gears and requires thrust bearings), and machine the teeth. So computing the pitch angles is the first step in designing and assembling any bevel gear transmission. Enter the gear and pinion teeth.
Cone Distance
Computes the cone distance of a bevel gear pair with 90° shafts, A_o = √((d_p/2)² + (d_g/2)²), from the pinion d_p (mm) and gear d_g (mm) pitch diameters; the result is in mm. The cone distance is the distance from the APEX of the pitch cone (the point where the pinion and gear axes intersect) to the OUTER (larger) end of the tooth — the 'generatrix' of the pitch cone, measured along the cone surface. It is one of the most important geometric quantities of bevel gears, equivalent in role to the radius in cylindrical gears. For a pair with 90° shafts, the cone distance is the hypotenuse of a right triangle whose legs are the pinion and gear pitch radii (hence the formula with the square root of the sum of squares). The cone distance defines the bevel gear size and is the basis for computing: the FACE WIDTH (which is a fraction of the cone distance, typically Ao/3, to avoid compromising the meshing accuracy at the narrow tooth end); the mean radius (at the face middle, where the forces are considered applied); and the complete bevel tooth geometry, which decreases in size from the outside toward the apex. Computing the cone distance is fundamental in sizing and manufacturing bevel gears. Enter the pinion and gear pitch diameters.
Bevel Gear Face Width
Computes the recommended face width of a bevel gear, F = A_o / 3, from the cone distance A_o (mm); the result is in mm. The face width is the tooth extent measured along the cone generatrix (from the outside toward the apex). In bevel gears, the face width is LIMITED by an important rule of thumb: it should not exceed about one THIRD of the cone distance (F ≤ Ao/3), nor about 10 times the module. This limitation exists due to a geometric particularity of bevel gears: since the teeth lie on a cone, they DECREASE in size from the outside (wide end) toward the apex (narrow end). If the face is too wide, the narrow tooth end (near the apex) becomes too small, with a reduced module, compromising the strength and meshing accuracy. So, unlike cylindrical gears (where increasing the width always increases the load capacity), in bevel gears there is a practical limit: over-widening the face brings no benefit and may even harm. The recommended face width (Ao/3) is the result of this trade-off, ensuring sufficiently robust teeth along their whole extent. The face width is essential for computing the strength (load capacity) and the gear size. It is a key parameter reflecting the particular geometry of bevel gears. Enter the cone distance.
Bevel Gear Mean Radius
Computes the mean radius of a bevel gear, r_m = (d/2) − (F/2)·sin(γ), from the pitch diameter d (mm), the face width F (mm) and the pitch angle γ (degrees); the result is in mm. Since a bevel gear's teeth vary in size along the face (larger on the outside, smaller toward the apex), the forces acting on them also vary. To simplify the analysis, the forces are considered applied at the MIDPOINT of the face (at the tooth middle), and the MEAN RADIUS — the pitch radius at this central point — is used. The mean radius is smaller than the outer pitch radius (d/2), since the midpoint is closer to the cone apex; the difference depends on the face width and the pitch angle (the projection of the half-displacement along the face onto the radial direction). The mean radius is the quantity used to compute the FORCES in the bevel meshing: the tangential force (Wt = Torque/mean radius), and from it the radial and axial forces, which load the teeth, shafts and bearings. Using the mean radius (instead of the outer one) gives a more representative estimate of the real forces, since the contact distributes along the whole face. The mean radius is therefore an essential parameter in the force analysis and structural sizing of bevel gears and their bearings. Enter the pitch diameter, the face width and the pitch angle.
Virtual Teeth (Bevel, Tredgold)
Computes the virtual teeth number of a bevel gear by Tredgold's approximation, N_v = N / cos(γ), from the actual number of teeth N and the pitch angle γ (degrees). Computing the tooth strength of bevel gears is complicated by their conical geometry (teeth varying in size). TREDGOLD's approximation is an ingenious method simplifying this problem: it considers that the bevel tooth profile, at its mean section, is approximately equal to the profile of a tooth of an EQUIVALENT cylindrical (spur) gear, 'unrolled' on the BACK CONE (complementary cone). This equivalent cylindrical gear has a larger radius than the bevel one and therefore a FICTITIOUS number of teeth N_v, always greater than the actual number N. The great benefit is that, with the virtual teeth number, all the formulas and factors of spur gears (the Lewis form factor, the AGMA geometry factors) can be used to compute the bending and wear strength of bevel teeth — without needing a completely new theory. As with helical gears, the virtual number allows reusing all the spur-gear analytical tooling. Tredgold's approximation is the basis of bevel gear strength calculation in engineering practice. Enter the actual number of teeth and the pitch angle.
Bevel Gear Tangential Force
Computes the tangential force in a bevel gear, W_t = T / r_m, from the transmitted torque T (N·m) and the mean radius r_m (m); the result is in N. The tangential force is the USEFUL force of the meshing — the one that actually transmits the torque and motion from one gear to the other, acting in the tangential (motion) direction at the contact point. It is simply the torque divided by the radius at which it acts. In bevel gears, the MEAN RADIUS (at the face middle) is used as the representative force-application point, since the teeth vary in size along the face. The tangential force is the 'primary force' from which the other two components acting on bevel teeth are computed: the RADIAL force (tending to separate the gears) and the AXIAL force (pushing the gears along their axes — characteristic of bevel gears, requiring thrust bearings). The tangential force is fundamental for: computing the tooth bending strength (it bends the tooth like a cantilever beam); sizing the shafts and bearings; and checking the gear's load capacity. It is the starting point of the force analysis of any gear transmission, and in bevel gears it leads to the additional complication of the axial force. Enter the torque and the mean radius.
Bevel Gear Radial Force
Computes the radial force on the pinion of a bevel gear, W_r = W_t·tan(φ)·cos(γ), from the tangential force W_t (N), the pressure angle φ (degrees) and the pinion pitch angle γ (degrees); the result is in N. In the bevel meshing, the force transmitted between teeth decomposes into three orthogonal components: the TANGENTIAL W_t (useful, transmits torque), the RADIAL W_r and the AXIAL W_a. The RADIAL force is the component pointing to the gear AXIS, tending to separate the pinion from the gear and bend the shafts. Unlike spur gears (where the radial force is simply Wt·tan φ), in bevel gears the radial force is MODULATED by the pitch angle (multiplied by cos γ), because the conical geometry 'splits' the pressure effect between the radial and axial directions. Note an important bevel gear symmetry: the force that is RADIAL on the pinion corresponds, in direction, to the AXIAL force on the gear, and vice versa (because of the perpendicular axes) — so computing one gear's forces directly gives the other's, swapped. The radial force loads the bearings in the radial direction and must be considered in sizing the shafts and selecting the bearings. Together with the tangential and axial forces, it composes the complete loading of the bevel pair. Enter the tangential force, the pressure angle and the pitch angle.
Bevel Gear Axial Force
Computes the axial force (thrust) on the pinion of a bevel gear, W_a = W_t·tan(φ)·sin(γ), from the tangential force W_t (N), the pressure angle φ (degrees) and the pinion pitch angle γ (degrees); the result is in N. The axial force is the meshing-force component acting in the gear AXIS direction, tending to push the pinion (and the gear) OUTWARD, along their respective axes. Unlike spur gears (which do NOT generate axial force), bevel gears ALWAYS produce axial thrust, because of their inclined conical geometry — a feature with important design implications. The axial force in bevel gears tends to SEPARATE the pinion from the gear, 'unmeshing' them axially; so it must be ABSORBED by THRUST bearings (axial or angular-contact bearings), which keep the gears in the correct position. An important aspect: the axial force always points from the cone apex toward the base (tending to push the gears away from the shaft intersection point), requiring a rigid, well-adjusted mounting. The axial force grows with the tangential force, the pressure angle and the sine of the pitch angle. Computing the axial force is MANDATORY in bevel transmission design, since the correct selection of the thrust bearings and the meshing integrity depend on it. It is the component that most distinguishes bevel gears from spur gears. Enter the tangential force, the pressure angle and the pitch angle.
Average Collection Period (DSO)
Computes the average collection period (DSO) = (accounts receivable ÷ gross sales) × period, showing how many days on average the company takes to collect its credit sales. It is a cornerstone of the cash conversion cycle: the lower the DSO, the faster cash comes back and the smaller the working capital need. A rising figure may signal a looser credit policy or collection issues. Enter the receivables balance, the period revenue and the number of days (usually 360).
Average Payment Period (DPO)
Computes the average payment period (DPO) = (suppliers ÷ purchases) × days, showing how many days on average the company takes to pay its suppliers. A higher DPO finances part of the working capital with interest-free trade credit, easing cash; however, excessive terms may signal payment difficulties. Always compare DPO with the collection period. Enter the suppliers balance, the purchases and the period in days.
Operating Cycle
Computes the operating cycle = days inventory outstanding (DIO) + days sales outstanding (DSO), i.e. the total time between buying inventory and collecting the sale. It measures how long money stays tied up in operations before returning to cash. Longer cycles demand more working capital and raise risk exposure. Enter the average inventory period and the average collection period, both in days.
Cash Conversion Cycle
Computes the cash conversion cycle = operating cycle − days payable outstanding = (DIO + DSO) − DPO. It measures how many days the company must finance its operations with its own or borrowed funds, after subtracting the credit terms suppliers grant. The shorter the cash cycle, the better: efficient firms can even run it negative (collecting before paying). Enter the DIO, DSO and DPO in days.
Receivables Turnover
Computes the receivables turnover = revenue (or credit sales) ÷ average receivables, showing how many times in the period the receivables portfolio was renewed. A high turnover means the company converts credit sales into cash quickly; dividing 360 by the turnover gives the average collection period in days. It is a widely used activity ratio in balance sheet analysis. Enter the period revenue and the average receivables balance.
Payables Turnover
Computes the payables turnover = credit purchases ÷ average suppliers balance, showing how many times in the period the company settled and renewed its supplier obligations. A low turnover indicates the company stretches payments, using trade credit to finance working capital; dividing 360 by the turnover yields the average payment period. Enter the period credit purchases and the average suppliers balance.
Working Capital Requirement
Computes the working capital requirement (WCR) = operating current assets − operating current liabilities, following the Fleuriet dynamic model. Unlike net working capital, the WCR considers only operation-related accounts (inventory, customers, suppliers), revealing how much permanent funding the company needs to sustain its cycle. A positive WCR requires financing; a negative one means operations generate cash. Enter the operating current assets and liabilities.
Own Working Capital
Computes the own working capital (OWC) = shareholders' equity − non-current (fixed) assets, showing how much of the company's own funds, after financing long-term investments, is left to run operations. A positive OWC shows equity covers fixed assets and still contributes to working capital; a negative one means the company finances part of its fixed assets with third-party capital. Enter the equity and the non-current assets.
Net Treasury Balance
Computes the net treasury balance (T) = net working capital − working capital requirement, a central piece of the Fleuriet dynamic model. It represents the very short-term financial slack (or squeeze): a positive T indicates funds available in treasury; a negative and growing T characterises the "scissor effect", in which the WCR grows faster than net working capital, signalling dependence on short-term financing. Enter the net working capital and the working capital requirement.
Net Debt
Computes net debt = gross debt (loans and financing) − cash and equivalents (cash, equivalents and highly liquid short-term investments). It is the leverage measure most watched by analysts and banks, since it nets out from total debt the cash that could repay it immediately. A negative net debt (net cash) indicates the company holds more liquid resources than debt. Enter the gross debt and the cash and equivalents.
Net Debt to EBITDA
Computes the net debt to EBITDA leverage ratio, expressing how many years of operating cash generation (EBITDA) would be needed to repay net debt. It is the multiple most used in banking covenants and credit analysis: values up to 2x are usually comfortable, between 2x and 3.5x call for attention, and above that indicate high leverage. It varies considerably by sector. Enter the net debt and the period EBITDA.
Debt Service Coverage Ratio (DSCR)
Computes the debt service coverage ratio (DSCR) = operating cash generation (EBITDA or cash flow) ÷ debt service (interest + principal due in the period). It measures how many times the cash generated covers the financial obligations falling due: a DSCR of 1.0 means the company generates exactly what is needed; banks typically require a minimum DSCR of 1.2 to 1.5 to extend credit. Enter the EBITDA and the total debt service.
Operating Margin
Computes the operating margin = (operating profit / EBIT ÷ net revenue) × 100, showing how much of every $100 in sales remains as the result of core activity, before interest and taxes. It is a profitability indicator that isolates operating efficiency from the effect of capital structure and tax burden, allowing comparison of companies with different leverage levels. Stable or rising margins signal good cost management. Enter the EBIT and the net revenue.
Equity Multiplier
Computes the equity multiplier = total assets ÷ shareholders' equity, measuring how many times the company's assets exceed its own capital. A multiplier of 2 means half of the assets are financed by third-party capital; the higher the ratio, the more leveraged — and riskier — the structure. It is the third factor in the DuPont decomposition of ROE. Enter the total assets and the shareholders' equity.
DuPont ROE Decomposition
Computes ROE via the DuPont analysis = net margin (%) × asset turnover × equity multiplier, breaking the return on equity into its three drivers: sales profitability, asset-use efficiency and financial leverage. This decomposition shows where the return comes from and helps diagnose whether a high ROE results from solid operations or from heavy debt. Enter the net margin, the asset turnover and the equity multiplier.
NOPAT (Net Operating Profit After Taxes)
Computes NOPAT (Net Operating Profit After Taxes) = EBIT × (1 − tax rate), i.e. the operating profit that would remain after taxes if the company had no debt. NOPAT is the basis for calculating EVA (economic value added) and free cash flow, since it isolates the operating result from the effect of financing. It is widely used in valuation and performance assessment. Enter the EBIT and the effective tax rate.
Altman Z-Score (Bankruptcy Prediction)
Computes the Altman Z-Score, the classic bankruptcy prediction model: Z = 1.2·X1 + 1.4·X2 + 3.3·X3 + 0.6·X4 + 1.0·X5, where X1 = working capital/assets, X2 = retained earnings/assets, X3 = EBIT/assets, X4 = market value of equity/total liabilities and X5 = sales/assets. Interpretation: Z above 2.99 indicates a financially safe firm, between 1.81 and 2.99 is the grey zone, and below 1.81 signals high bankruptcy risk. Enter the seven balance sheet figures.
Kanitz Insolvency Thermometer
Computes the insolvency factor with the Kanitz thermometer: IF = 0.05·X1 + 1.65·X2 + 3.55·X3 − 1.06·X4 − 0.33·X5, where X1 = return on equity, X2 = general liquidity, X3 = quick ratio, X4 = current ratio and X5 = debt-to-equity ratio. Developed by Stephen Kanitz for Brazilian companies, the thermometer classifies: IF between 0 and 7 indicates solvency, between 0 and −3 is the penumbra zone, and below −3 signals insolvency. Enter the five ratios.
Degree of Total Leverage (DTL)
Computes the degree of total leverage (DTL) = degree of operating leverage (DOL) × degree of financial leverage (DFL). The DTL measures the sensitivity of earnings per share to a change in sales, combining the effect of fixed operating costs with that of financial charges. A DTL of 3, for example, indicates that a 10% rise in sales raises net profit by 30%. The higher it is, the greater the upside — and the risk. Enter the DOL and the DFL.
EBITDA
Computes EBITDA = operating profit (EBIT) + depreciation + amortisation, measuring the company's operating cash generation before interest, taxes, depreciation and amortisation. By excluding non-cash expenses and the effect of capital structure, EBITDA approximates how much cash operations actually generate and is widely used in valuation, sector comparisons and covenants (such as the net debt/EBITDA multiple). Enter the EBIT, depreciation and amortisation for the period.
Market Capitalization
Computes a company's market capitalization = share price × total number of shares. It is the most direct way to measure the size of a listed company: it represents how much the market values, in aggregate, all of its equity. Market cap classifies companies into large, mid and small caps and is the basis for several valuation multiples, such as P/E and P/B. Enter the current share price and the number of shares outstanding.
Enterprise Value (EV)
Computes the enterprise value (EV), or firm value = market capitalization + net debt. Unlike market cap, which considers only shareholders, EV measures how much it would cost to acquire the whole company, assuming its debts and netting out cash. It is the numerator of the EV/EBITDA and EV/EBIT multiples, widely used in mergers and acquisitions because they are independent of capital structure. Enter the market cap and the net debt (gross debt minus cash).
EV/EBITDA
Computes the EV/EBITDA multiple = enterprise value ÷ EBITDA, indicating how many times the annual operating cash generation is contained in the company's total value. It is one of analysts' favourite multiples because it ignores differences in leverage, depreciation and tax regime, allowing comparison of companies in the same sector. Low multiples may signal discounted shares; high ones, growth expectations or overvaluation. Enter the EV and the EBITDA.
EV/EBIT
Computes the EV/EBIT multiple = enterprise value ÷ operating profit (EBIT). Similar to EV/EBITDA, but accounting for depreciation and amortisation, it better approximates capital-intensive companies, where the wear of fixed assets is a real economic cost. It is the basis of the earnings yield used in Joel Greenblatt's magic formula. The lower the multiple, the cheaper the company relative to its operating result. Enter the EV and the EBIT.
EV/Revenue (EV/Sales)
Computes the EV/Revenue (EV/Sales) multiple = enterprise value ÷ net revenue, showing how many times the annual turnover is embedded in the company's total value. It is especially useful to value high-growth or not-yet-profitable companies (startups, technology), where EBITDA- or earnings-based multiples would lose meaning. It must be compared within the same sector, since different margins justify different multiples. Enter the EV and the net revenue.
PEG Ratio
Computes the PEG ratio = P/E ratio ÷ expected earnings growth rate (in % per year). Created to fix a limitation of the P/E — which penalises growing companies — the PEG relates the price paid to the pace of earnings expansion. Peter Lynch's rule of thumb suggests that a PEG near 1 indicates fair pricing, below 1 a potentially cheap stock, and above 1 expensive relative to growth. Enter the P/E and the expected growth.
Price-to-Sales (P/S)
Computes the price-to-sales (P/S) multiple = market capitalization ÷ net revenue, indicating how much the investor pays for each unit of the company's turnover. By using revenue — the line least subject to accounting manipulation — P/S is a robust multiple for comparing companies with volatile or negative earnings. Since it ignores profitability, it should be read alongside margins: a low P/S with a high margin tends to be more attractive. Enter the market cap and the net revenue.
Price-to-Cash-Flow (P/FCF)
Computes the price-to-free-cash-flow (P/FCF) multiple = market capitalization ÷ free cash flow, showing how many years of free cash generation would be needed to pay the company's market value. By relying on cash actually generated — not accounting profit, subject to accrual rules — P/FCF is considered one of the hardest multiples to dress up. The lower it is, the cheaper the stock relative to the cash it produces. Enter the market cap and the free cash flow.
Earnings Yield
Computes the earnings yield = (earnings per share ÷ share price) × 100, i.e. the inverse of the P/E ratio expressed as a percentage. It shows the theoretical earnings return the company generates for each unit invested in the stock, making it easy to compare directly with fixed-income interest rates: if the earnings yield exceeds the risk-free rate, the stock tends to be more attractive. It is a central piece of Greenblatt's magic formula. Enter the EPS and the share price.
Graham Number
Computes the Graham number = √(22.5 × EPS × BVPS), an estimate of maximum intrinsic value proposed by Benjamin Graham, the father of value investing. The constant 22.5 comes from Graham's criterion that P/E × P/B should not exceed 15 × 1.5. If the stock's market price is below the Graham number, it may be discounted under this conservative approach, suited to profitable companies with positive equity. Enter the earnings per share (EPS) and the book value per share (BVPS).
Dividend per Share (DPS)
Computes the dividend per share (DPS) = total distributions paid ÷ number of shares, showing how much each share received (or is due) in dividends in the period. DPS is the basis for the dividend yield and the Bazin ceiling price, and is a key indicator for income-focused investors. A growing and consistent DPS over the years usually signals financial health and a predictable dividend policy. Enter the total dividends and the number of shares.
Bazin Ceiling Price
Computes the Bazin ceiling price = dividend per share ÷ desired return rate, a method created by Décio Bazin in his book on building wealth with stocks. The logic is simple: the investor sets the minimum dividend yield they accept (Bazin used 6%) and the ceiling price is the maximum to pay for the share to secure that income return. Buying below the ceiling price ensures the target yield; above it, the dividend return falls short. Enter the DPS and the desired return rate.
Earnings per Share (EPS)
Computes the earnings per share (EPS) = net income ÷ number of shares, indicating how much of the company's result corresponds to each share. EPS is the denominator of the P/E ratio and one of the most closely watched indicators, since it summarises the profitability generated per share. Its evolution across quarters reveals whether the company is consistently growing profit, and EPS surprises versus forecasts often move share prices sharply. Enter the net income and the number of shares.
Book Value per Share (BVPS)
Computes the book value per share (BVPS) = shareholders' equity ÷ number of shares, representing the accounting value each share would receive if the company were liquidated at book values. BVPS is the denominator of the P/B ratio and the basis of the Graham number. Comparing the market price to BVPS reveals whether the stock trades above or below its book value — though companies with significant intangible assets often are worth much more than BVPS. Enter the equity and the number of shares.
Free Cash Flow to Firm (FCFF)
Computes the free cash flow to firm (FCFF) = EBIT × (1 − tax rate) + depreciation and amortisation − capex − change in working capital requirement. FCFF represents the cash available to all capital providers (creditors and shareholders) after reinvestment, regardless of the financing structure. It is the flow discounted by WACC in discounted cash flow (DCF) valuation models. Enter the EBIT, the tax rate, the depreciation/amortisation, the capex and the change in working capital.
Free Cash Flow to Equity (FCFE)
Computes the free cash flow to equity (FCFE) = FCFF − interest × (1 − tax rate) + net change in debt. While FCFF measures the cash for all creditors and owners, FCFE isolates what actually remains for shareholders after paying debt charges and accounting for new borrowings and repayments. It is the flow discounted by the cost of equity in equity-focused valuation models. Enter the FCFF, the interest expense, the tax rate and the net change in debt.
Terminal Value (Gordon Perpetuity)
Computes the terminal value with the Gordon perpetuity = FCF × (1 + g) ÷ (discount rate − g), used in discounted cash flow models to capture all the value generated after the explicit projection period. Since most of a mature company's valuation usually lies in the terminal value, the choice of the perpetual growth rate (g) and the WACC is critical — small variations greatly change the result, and g must always be lower than the discount rate. Enter the last-period cash flow, the perpetual growth and the WACC.
Gordon Growth Model
Computes the fair price of a stock with the Gordon growth model (dividend discount model) = D0 × (1 + g) ÷ (required return − g), where D0 is the current dividend and g the perpetual growth rate of distributions. The model estimates the intrinsic value of companies that pay stable and growing dividends, discounting future payouts at the desired return rate. It is widely used for utilities and mature firms; it requires the growth rate to be lower than the required return. Enter the current dividend, the growth and the required rate.
Profitability Index (PI)
Computes the profitability index (PI) = present value of cash flows ÷ initial investment. It is a project appraisal criterion directly linked to NPV: a PI greater than 1 means positive NPV and a viable project; a PI equal to 1 indicates indifference; less than 1, a value-destroying project. Being a ratio, the PI is useful to rank projects under capital rationing, showing how much present value each unit invested generates. Enter the present value of the flows and the initial investment.
Cash Turnover
Computes the cash turnover = 360 ÷ cash conversion cycle (in days), indicating how many times per year the company's cash "turns over" along the conversion cycle. The shorter the cash cycle, the higher the cash turnover and the more efficient the company is at converting its operations into available money, reducing the working capital need. It is a natural complement to the analysis of average terms and the dynamic working capital model. Enter the cash cycle in days.
Sharpe Ratio
Computes the Sharpe ratio = (portfolio return − risk-free rate) ÷ standard deviation of returns, measuring how much excess return an investment generates per unit of total risk taken. It is the most widespread risk-adjusted performance indicator: the higher the Sharpe, the better the risk-return trade-off. Values above 1 are usually considered good, and the comparison only makes sense between portfolios evaluated over the same period. Enter the portfolio return, the risk-free rate and the volatility.
Treynor Ratio
Computes the Treynor ratio = (portfolio return − risk-free rate) ÷ beta, measuring excess return per unit of systematic (non-diversifiable) risk. Unlike the Sharpe, which uses total risk, the Treynor isolates market risk, making it more suitable for evaluating already well-diversified portfolios, where specific risk has been eliminated. The higher the ratio, the better the reward for the market risk taken. Enter the portfolio return, the risk-free rate and the beta.
Sortino Ratio
Computes the Sortino ratio = (portfolio return − risk-free rate) ÷ downside deviation (standard deviation of negative returns). It is a variation of the Sharpe ratio that penalises only undesirable volatility — the downturns — instead of total deviation. The rationale is that investors are not bothered by upward swings, only by losses; therefore the Sortino often reflects perceived risk better in asymmetric strategies. Enter the portfolio return, the risk-free rate and the downside deviation.
Jensen's Alpha
Computes Jensen's alpha = portfolio return − [risk-free rate + beta × (market return − risk-free rate)], i.e. the return obtained above (or below) what the CAPM predicted for the level of risk taken. A positive alpha indicates the manager delivered performance above what the systematic risk warranted — created value; a negative alpha, the opposite. It is the classic metric to assess security-selection skill. Enter the portfolio and market returns, the risk-free rate and the beta.
Stock Beta
Computes a stock's beta = covariance between the asset and market returns ÷ market variance, measuring the asset's sensitivity to swings in the benchmark index. A beta of 1 indicates the stock tends to track the market; above 1, it amplifies movements (riskier and more volatile); below 1, it reacts more smoothly; and a negative beta indicates opposite movement. Beta is the heart of the CAPM and of the Treynor and Jensen ratios. Enter the asset-market covariance and the market variance.
Information Ratio
Computes the information ratio = (portfolio return − benchmark return) ÷ tracking error, measuring how consistently a manager beats the benchmark per unit of active risk. The numerator is the excess return (alpha); the denominator, the tracking error, captures the volatility of that difference. A high information ratio indicates the manager beats the benchmark steadily, not by occasional luck. It is widely used to evaluate active management. Enter the portfolio and benchmark returns and the tracking error.
Maximum Drawdown
Computes the maximum drawdown = (peak value − trough value) ÷ peak value × 100, representing the largest percentage drop of a portfolio from a top to the subsequent bottom, before a new high. It is an intuitive risk measure showing the worst loss an investor would have endured in the period — essential to assess emotional tolerance and a strategy's risk of ruin. The smaller the maximum drawdown, the smoother the trajectory. Enter the peak value and the trough value.
Modigliani M² (Risk-Adjusted Performance)
Computes the Modigliani M² measure = risk-free rate + Sharpe ratio × market volatility, expressing risk-adjusted performance as a percentage return directly comparable to the market's. M² answers the question: "what return would the portfolio have if adjusted to carry the same risk as the benchmark?". Being expressed in percentage points, it is more intuitive than the raw Sharpe for communicating results. Enter the risk-free rate, the portfolio Sharpe and the market volatility.
Levered Beta (Hamada Equation)
Computes the levered beta via the Hamada equation = unlevered beta × [1 + (1 − tax rate) × (Debt/Equity)], adjusting an asset's risk to reflect the effect of debt on the risk perceived by shareholders. The higher the financial leverage, the higher the levered beta — and the required cost of equity. It is a central tool to estimate company betas from comparables with different capital structures. Enter the unlevered beta, the tax rate and the D/E ratio.
Unlevered Beta (Hamada Equation)
Computes the unlevered beta (or asset beta) via the Hamada equation = levered beta ÷ [1 + (1 − tax rate) × (Debt/Equity)], removing the effect of debt to isolate the purely operating risk of the business. This "clean" beta allows comparing the risk of companies regardless of how each is financed and is the starting point to re-lever the beta according to a target company's capital structure. Enter the levered beta, the tax rate and the D/E ratio.
Portfolio Expected Return
Computes the expected return of a two-asset portfolio = (weight 1 × return 1) + (weight 2 × return 2), i.e. the average of the expected returns weighted by each asset's share. It is the first step of Markowitz portfolio theory: while the expected return is simply the weighted average, the portfolio risk also depends on the correlation between the assets. The weights must sum to 1 (or 100%). Enter the weights and expected returns of each of the two assets.
Annualized Volatility
Computes the annualized volatility = period volatility × √(number of periods per year), applying the square-root-of-time rule to scale the standard deviation from a lower frequency (daily, monthly) to an annual basis. For example, a daily volatility of 1% equals about 15.9% per year (using 252 trading days). Annualizing volatility allows comparing the risk of assets measured at different frequencies and is standard in fund reports. Enter the period volatility and the number of periods per year.
Current Yield
Computes the current yield = annual coupon ÷ market price of the bond × 100, indicating the annual interest return the investor receives relative to the price actually paid. Unlike the coupon rate (computed on face value), the current yield uses the market price: when the bond trades at a discount, the current yield exceeds the coupon rate; at a premium, it falls below it. It is a quick measure but ignores the capital gain or loss until maturity. Enter the annual coupon and the bond price.
Yield to Maturity (Approximate)
Computes the approximate yield to maturity (YTM) = [coupon + (face value − price) ÷ years] ÷ [(face value + price) ÷ 2] × 100, estimating the internal rate of return of a bond held to maturity. The YTM combines coupon interest with the capital gain or loss amortised over time, being the most complete measure of a bond's yield. This is the approximate formula widely used in exams and quick analyses; the exact YTM requires an iterative solution. Enter the coupon, face value, price and term.
Macaulay Duration
Computes the Macaulay duration of a level-coupon bond using the closed-form formula, as a function of the coupon rate, the yield and the number of periods. Duration represents the weighted-average time to receive the cash flows, where the weights are the present values of each payment — i.e. how long, on average, the investor takes to recover the amount invested. The longer the duration, the more sensitive the bond price is to interest-rate changes. Enter the coupon rate, the yield and the number of periods.
Modified Duration
Computes the modified duration = Macaulay duration ÷ (1 + yield per period), where the yield is divided by the number of coupons per year. While the Macaulay duration measures the average term in years, the modified duration directly measures the percentage sensitivity of the bond price to a one-percentage-point change in interest rates. It is the basis for interest-rate risk measurement and for hedging fixed-income portfolios. Enter the Macaulay duration, the annual yield and the number of coupons per year.
Bond Price Change from Duration
Computes the estimated percentage change in a bond's price = − modified duration × change in yield (in percentage points). It is the practical application of modified duration: if the duration is 5.34 and interest rates rise by 1 percentage point, the bond price falls about 5.34%. The negative sign reflects the inverse relationship between price and interest rates. The estimate is linear and accurate for small changes; for large swings, the convexity effect must be added. Enter the modified duration and the expected change in yield.
DV01 (Dollar Value of a Basis Point)
Computes the DV01 (dollar value of a basis point), also called PVBP = modified duration × bond price × 0.0001, i.e. the change in price, in currency, for each basis point (0.01%) move in interest rates. The DV01 translates interest-rate sensitivity into monetary value, being essential to size and neutralise the risk of fixed-income portfolios and hedging operations with derivatives. The higher the DV01, the greater the absolute exposure to rate moves. Enter the modified duration and the bond price.
Bond Coupon Rate
Computes the coupon rate of a bond = annual coupon ÷ face value × 100, i.e. the nominal interest the issuer pays on the par value of the note, regardless of market price. The coupon rate is fixed at issuance and defines the bond's payment stream over its life. It differs from the current yield (which uses market price) and the yield to maturity (which incorporates the capital gain): they only coincide when the bond trades exactly at par. Enter the annual coupon and the face value.
Perpetual Bond Price
Computes the price of a perpetual bond (consol) = annual coupon ÷ discount rate, applying the simple perpetuity formula to a note that pays interest forever, with no maturity date. Since the payments are constant and infinite, the present value converges to the coupon divided by the rate required by the investor. The lower the discount rate, the higher the price — and the consol's sensitivity to rate changes is very high, due to its long duration. Enter the annual coupon and the discount rate.
Black-Scholes Call Price
Computes the theoretical price of a European call option using the Black-Scholes model = S·N(d1) − K·e^(−rT)·N(d2), where S is the spot price, K the strike, r the risk-free rate, T the term, and volatility enters d1 and d2. Awarded the Nobel Prize in Economics, the model is the market standard for pricing options, assuming lognormal returns and constant volatility. The result is the fair call premium; comparing it to the market price reveals whether the option is expensive or cheap. Enter spot price, strike, interest rate, term in years and annual volatility.
Black-Scholes Put Price
Computes the theoretical price of a European put option using the Black-Scholes model = K·e^(−rT)·N(−d2) − S·N(−d1). A put gives the holder the right to sell the asset at the strike, acting as insurance against declines. The Black-Scholes model provides the fair premium from the spot price, strike, interest rate, term and volatility. The result relates directly to the call via put-call parity. Enter spot price, strike, risk-free rate, term in years and annual volatility.
Call Option Delta
Computes the delta of a call option = N(d1), the first and most-used of the greeks. Delta measures how much the option price changes for each $1 change in the underlying: a delta of 0.64 means the call rises about $0.64 when the stock rises $1. It ranges from 0 to 1 for calls and also indicates the approximate probability the option finishes in the money, as well as the amount of underlying needed to hedge the position. Enter the Black-Scholes model parameters.
Put Option Delta
Computes the delta of a put option = N(d1) − 1, taking values between −1 and 0. The negative sign reflects the put's inverse relationship with the underlying price: when the stock rises, the put loses value. A delta of −0.36 indicates the put falls about $0.36 for each $1 rise in the stock. The put delta is essential to build hedges and delta-neutral strategies and, in absolute value, approximates the exercise probability. Enter the Black-Scholes parameters (spot, strike, rate, term and volatility).
Option Vega
Computes the vega of an option = S·N'(d1)·√T, the greek that measures the premium's sensitivity to changes in volatility. The value obtained represents how much the option price changes for a 1.00 (i.e. 100 percentage points) change in volatility; for the sensitivity per percentage point, divide the result by 100. Both calls and puts have positive vega, which is highest when the option is at the money and has a long term. Vega is central to volatility trading. Enter the Black-Scholes parameters.
Call Option Rho
Computes the rho of a call option = K·T·e^(−rT)·N(d2), the greek that measures the premium's sensitivity to changes in the risk-free interest rate. The value represents the change in the call price for a 1.00 (100 percentage points) change in the rate; divide by 100 for the sensitivity per percentage point. Calls have positive rho (they rise when rates rise) and puts negative. It is the lowest-impact greek in the short term but relevant for long-dated options. Enter the Black-Scholes parameters.
Call Intrinsic Value
Computes the intrinsic value of a call option = the maximum of (spot price − strike) and zero, i.e. how much the call would already be worth if exercised immediately. When the underlying is above the strike, the call is "in the money" and has positive intrinsic value; when equal or below, the intrinsic value is zero and the whole premium is time value. The intrinsic value is the floor of an option's premium. Enter the spot price and the strike price.
Put Intrinsic Value
Computes the intrinsic value of a put option = the maximum of (strike − spot price) and zero, representing how much the put would be worth if exercised right away. The put is "in the money" when the underlying trades below the strike — giving the holder the right to sell above market price. If the underlying is equal to or above the strike, the intrinsic value is zero. Intrinsic value plus time value make up the option's total premium. Enter the strike and the spot price.
Option Time Value
Computes the time value (or extrinsic value) of an option = total premium − intrinsic value, isolating the portion of the premium that reflects expectation and the time remaining until expiry. Time value is highest for at-the-money options and decays as expiry approaches (time decay measured by the greek theta), reaching zero on exercise day, when the option is worth only its intrinsic value. It is what the buyer pays for the chance of favourable future moves. Enter the premium and the intrinsic value.
Long Call Breakeven
Computes the breakeven point of a long call option = strike price + premium paid. It is the price the underlying must reach at expiry for the call holder to recover the premium paid and start making a profit. Below the breakeven, the position still shows a loss (limited to the premium); above it, the gain is theoretically unlimited. Knowing the breakeven is essential to assess the risk-reward before setting up the trade. Enter the strike and the premium paid for the call.
Long Put Breakeven
Computes the breakeven point of a long put option = strike price − premium paid. It is the price the underlying must reach, on the downside, at expiry for the put holder to start profiting after recovering the premium. Above the breakeven, the loss is limited to the premium; below it, the gain grows as the underlying falls (until it reaches zero). The breakeven is the reference to size hedges and bearish bets. Enter the strike and the premium paid for the put.
Option Moneyness
Computes the moneyness of an option = spot price ÷ strike, a ratio that classifies the option's position relative to the exercise price. For a call, moneyness above 1 indicates in-the-money (ITM), equal to 1 at-the-money (ATM) and below 1 out-of-the-money (OTM); for the put, the reading is reversed. Moneyness is used to compare options across different underlyings and strikes on a standardised basis and directly influences delta and time value. Enter the spot price and the strike.
Long Call Payoff
Computes the net payoff of a long call option at expiry = the maximum of (price at expiry − strike) and zero, minus the premium paid. It shows the profit or loss per share from holding the call to exercise: if the underlying closes above the breakeven (strike + premium), there is profit; between strike and breakeven, partial loss; below strike, total loss of the premium. The gain is unlimited and the loss limited to the premium. Enter the price at expiry, the strike and the premium paid.
Long Put Payoff
Computes the net payoff of a long put option at expiry = the maximum of (strike − price at expiry) and zero, minus the premium paid. It indicates the profit or loss per share from holding the put to exercise: if the underlying closes below the breakeven (strike − premium), there is profit; between breakeven and strike, partial loss; above strike, total loss of the premium. The long put is used for portfolio protection and bearish bets, with loss limited to the premium. Enter the strike, the price at expiry and the premium paid.
Bull Call Spread Cost
Computes the net cost (debit) of a bull call spread = premium of the bought call − premium of the sold call. In the bull call spread, the investor buys a lower-strike call and sells a higher-strike call, reducing the outlay in exchange for capping the maximum gain. The net cost computed here is also the strategy's maximum loss; the maximum profit is the difference between the strikes minus this cost. Enter the premiums of the bought and sold calls.
Cross Exchange Rate
Computes the cross exchange rate between two currencies from their quotes against a common currency (usually the dollar). Dividing the base/X quote by the base/Y quote yields the X/Y parity — for example, with USD/BRL = 5.00 and USD/EUR = 1.10, the EUR/BRL ≈ 4.55. Cross rates allow trading and quoting pairs that have no direct quote in the market, and arbitrage arises when the cross rate diverges from the direct quotes. Enter the two quotes against the base currency.
Forward Exchange Rate
Computes the forward exchange rate via covered interest rate parity = spot rate × (1 + domestic rate) ÷ (1 + foreign rate). The no-arbitrage condition states that the currency of the country with higher interest rates tends to depreciate in the forward market, exactly offsetting the interest differential. This is the principle that prices currency forwards and futures and underpins exchange-rate hedging. Enter the spot rate and the interest rates of both currencies.
Forward Points
Computes the forward points = (forward rate − spot rate) × 10,000, expressing in pips the difference between the future and spot quotes of a currency pair. Forward points reflect the interest differential between the two currencies and are how the interbank market quotes forward operations and FX swaps: positive points indicate a premium (forward above spot) and negative ones a discount. Adding the points to the spot reconstructs the forward rate. Enter the forward rate and the spot rate.
International Fisher Effect
Estimates the expected currency change via the international Fisher effect = domestic nominal rate − foreign nominal rate. The theory states that the currency of the country with the higher nominal interest rate tends to depreciate against the lower-rate one, by roughly the interest differential, cancelling arbitrage gains between investments in different currencies. It is the approximate (additive) version of uncovered interest rate parity, widely used to project long-term currency trends. Enter the nominal interest rates of both currencies.
Carry Trade Interest Differential
Computes the interest differential of a carry trade = interest of the higher-rate currency − interest of the lower-rate currency. In a carry trade, the investor borrows in the low-rate currency and invests in the high-rate one, pocketing the differential as long as the exchange rate stays stable. The result represents the annualised gross gain of the strategy before the currency move — which is precisely the main risk, able to cancel or reverse the profit. Enter the interest rates of both currencies.
Present Value of an Annuity
Computes the present value of an annuity (ordinary uniform series) = PMT × [1 − (1 + i)^−n] ÷ i, i.e. how much a stream of equal payments received or paid at the end of each period is worth today. It is the formula behind loans, leasing and the valuation of rental flows: it brings all future payments to present value at the discount rate. Enter the payment amount, the interest rate per period and the number of periods.
Future Value of an Annuity
Computes the future value of a uniform series of payments = PMT × [(1 + i)^n − 1] ÷ i, i.e. the amount accumulated at the end of n periods from equal, periodic deposits earning compound interest. It is the basis of accumulation plans, private pensions and programmed savings: each contribution grows until maturity, summing contributions and interest. Enter the periodic deposit amount, the interest rate per period and the number of periods.
Present Value of an Annuity Due
Computes the present value of an annuity due (a series where payments occur at the beginning of each period) = present value of the ordinary annuity × (1 + i). Bringing each payment forward by one period increases the present value, since funds are disbursed or received earlier. This is the typical case of rents paid at the start of the month and of instalment plans. Enter the payment amount, the interest rate per period and the number of periods.
Perpetuity Present Value
Computes the present value of a perpetuity = payment per period ÷ interest rate, i.e. how much a constant income that repeats forever is worth today. It is a central concept in finance, used to value stocks with stable dividends, perpetual bonds and passive-income calculations: to receive $1,000 per month indefinitely at 2% per month, a capital of $50,000 is required. Enter the periodic payment and the interest rate per period.
Growing Perpetuity
Computes the present value of a growing perpetuity = first payment ÷ (discount rate − growth rate), the Gordon model for flows that repeat forever, growing at a constant rate. It is widely used to value shares of mature companies whose dividends grow steadily and to estimate terminal values in discounted cash flow. The growth rate must be lower than the discount rate for the formula to converge. Enter the first payment, the discount rate and the growth per period.
Present Value of a Growing Annuity
Computes the present value of a growing annuity = [first payment ÷ (rate − growth)] × [1 − ((1 + g)/(1 + i))^n], for a stream of payments that grows at a constant rate over a finite number of periods. It is useful to value contracts with annual adjustments, salaries with progression and cash flows that track inflation. Unlike the growing perpetuity, here the number of periods is limited. Enter the first payment, the discount rate, the growth and the number of periods.
Present Value of a Deferred Annuity
Computes the present value of a deferred annuity = present value of the ordinary annuity ÷ (1 + i)^k, where k is the number of grace periods before the payment stream begins. It is the situation of loans with a grace period ("buy now, pay later") and of plans whose receipts only start after a deferral. Deferral reduces the present value, since payments are further in the future. Enter the payment, the rate, the number of payments and the grace periods.
Sinking Fund Payment
Computes the periodic deposit of a sinking fund = target amount × i ÷ [(1 + i)^n − 1], i.e. how much must be saved each period, with compound interest, to accumulate a target value in the future. It is the inverse of the future value of a series: instead of finding the amount, it finds the payment needed to reach a goal — used for equipment-replacement reserves, debt repayment and savings objectives. Enter the target amount, the rate per period and the number of periods.
Equivalent Interest Rate
Computes the equivalent interest rate under compound interest = [(1 + i)^n − 1] × 100, converting a rate from one period to another so that both produce the same amount over the same term. For example, 1% per month is equivalent to 12.68% per year (not 12%, as it would be under simple proportionality). Knowing how to convert equivalent rates is essential to compare investments and loans quoted at different frequencies. Enter the rate of the smaller period and how many smaller periods fit into the larger one.
Nominal to Effective Rate
Computes the effective rate from the nominal rate = [(1 + nominal/m)^m − 1] × 100, where m is the number of compounding periods per year. The nominal rate is merely advertised (e.g. 12% per year compounded monthly), while the effective rate reflects the interest actually charged when compounding occurs more than once in the period. The higher the compounding frequency, the larger the gap between nominal and effective. Enter the annual nominal rate and the number of compounding periods per year.
Effective to Nominal Rate
Computes the nominal rate from the effective rate = m × [(1 + effective)^(1/m) − 1] × 100, reversing the compounding conversion. Given the effective rate actually charged and the number of compounding periods per year, the result is the nominal rate that, compounded m times, reproduces that effective rate. It is useful to find the rate to state in contracts from a desired effective cost. Enter the effective rate and the number of compounding periods per year.
Bank (Commercial) Discount
Computes the bank (commercial, "outside") discount = face value × discount rate × number of periods, a method in which the discount falls on the bill's face value rather than its present value. It is the method used in receivables-discounting operations, as it is more advantageous for the financial institution. The longer the term, the larger the discount withheld. Enter the bill's face value, the discount rate per period and the number of periods until maturity.
Rational (True) Discount
Computes the rational (or "true") discount = face value × i × n ÷ (1 + i × n), where the discount falls on the bill's present value rather than its face value. It is the mathematically correct discount, since it corresponds to simple interest on the amount actually advanced. Therefore, the rational discount is always smaller than the commercial one for the same parameters. It is used in contexts requiring financial rigour and in financial-mathematics exams. Enter the face value, the discount rate and the number of periods.
Present Value under Bank Discount
Computes the present (net) value under bank discount = face value × (1 − rate × number of periods), i.e. how much the holder of a bill actually receives when discounting it at the bank, after deducting the commercial discount. It is the face value minus the commercial discount. Note: if the rate times the term approaches 1, the present value tends to zero — the practical limit of this "outside" discount method. Enter the face value, the discount rate per period and the number of periods.
Pure Premium
Computes the pure premium of an insurance policy = probability of claim × sum insured, i.e. the expected value of the indemnity the insurer will pay. It is the actuarial basis of any pricing: it corresponds to the average cost of risk, without administrative expenses, commissions or profit margin. The commercial premium (actually charged to the policyholder) is obtained by adding the loading for these expenses to the pure premium. Enter the probability of the claim occurring and the sum insured.
Commercial (Gross) Premium
Computes the commercial (or gross) premium of an insurance policy = pure premium ÷ (1 − loading), the amount actually charged to the policyholder. The loading is the percentage covering administrative expenses, brokerage commissions, taxes and the insurer's profit margin, applied by division so that the pure premium represents exactly the complementary fraction of the total. The higher the loading, the more the commercial premium exceeds the pure one. Enter the pure premium and the loading percentage.
Loss Ratio
Computes the loss ratio = total claims paid ÷ total premiums earned × 100, measuring the proportion of premium revenue the insurer allocated to indemnities. It is the main technical-result indicator of an insurance portfolio: a low loss ratio indicates a comfortable margin, while values near or above 100% signal that claims consumed the entire premium, requiring rate adjustments. Enter the total claims paid and the total premiums earned in the period.
Coinsurance Payout
Computes the indemnity under a coinsurance (average) clause = loss amount × (sum insured ÷ actual value of the asset), applied when the asset is underinsured (sum insured below actual value). The average clause proportionally penalises the policyholder who paid premium for coverage below the asset's value: if 80% of the value was insured, only 80% of the loss is paid. It is a common rule in property insurance. Enter the loss amount, the sum insured and the actual value of the asset.
Social Security Factor (Brazil)
Computes the Brazilian social security factor (INSS) = (Tc × a ÷ Es) × [1 + (Id + Tc × a) ÷ 100], where Tc is the contribution time, a the rate (0.31), Es the survival expectancy at the retirement date and Id the insured's age. The factor multiplies the benefit salary and tends to reduce pensions claimed early (low age and contribution time), encouraging the insured to retire later. Enter the contribution time, the rate, the survival expectancy and the age.
Capital Recovery Factor
Computes the capital recovery factor (CRF) = i(1 + i)^n ÷ [(1 + i)^n − 1], used in engineering economics to convert a present value into an equivalent uniform series of payments. Multiplying an initial investment by the CRF gives the annual (or periodic) instalment needed to recover the capital at the desired interest rate — the basis of equivalent uniform annual cost analysis and the comparison of investment alternatives. Enter the interest rate per period and the number of periods.
Lime Requirement (Base Saturation)
Computes the lime requirement (LR) by the base-saturation method = (V2 − V1) × CEC ÷ PRNT, where V2 is the target saturation, V1 the current one, CEC the cation exchange capacity at pH 7 and PRNT the corrective's total relative neutralizing power. It is the most-used official method in Brazil to recommend liming, adjusting soil pH and nutrient availability to the crop's requirement. The result is the dose in tonnes per hectare for the 0–20 cm layer. Enter V2, V1, the CEC and the limestone PRNT.
Soil Base Saturation
Computes the soil base saturation (V%) = sum of bases ÷ total CEC × 100, indicating what percentage of the cation exchange capacity is occupied by basic cations (calcium, magnesium and potassium). It is one of the most important soil-test indices: soils with high V% are more fertile and less acidic. Most crops require a saturation between 50% and 70%, and the gap to the target value guides liming. Enter the sum of bases and the total CEC.
Soil Aluminum Saturation
Computes the soil aluminum saturation (m%) = exchangeable Al ÷ (sum of bases + Al) × 100, measuring the proportion of the effective CEC occupied by aluminum, the main cause of root toxicity in acid soils. Values above 20–30% are usually harmful to most crops, requiring liming to neutralize the aluminum. It is an indicator complementary to base saturation in assessing soil acidity. Enter the exchangeable aluminum and the sum of bases.
Soil Total CEC
Computes the soil total CEC at pH 7 (T) = sum of bases + potential acidity (H+Al), representing the soil's maximum capacity to retain and exchange cations. The total CEC is the basis for calculating base saturation and lime requirement, reflecting the soil's potential fertility: clayey soils rich in organic matter have high CEC and greater buffering power. Enter the sum of bases and the potential acidity (H+Al) from the soil test.
Limestone PRNT
Computes the PRNT (total relative neutralizing power) of a limestone = neutralizing power × reactivity ÷ 100, the index that measures the corrective's actual efficiency in neutralizing soil acidity. The NP depends on chemical composition and the reactivity on particle size (the finer, the more reactive). Limestones with high PRNT require smaller doses. It is the value used to adjust the recommended liming dose. Enter the limestone's neutralizing power and reactivity.
PRNT-Adjusted Lime Dose
Computes the PRNT-adjusted lime dose = recommended dose × 100 ÷ PRNT, adjusting the recommendation (usually made for a standard corrective of PRNT 100%) to the limestone actually available. Since no commercial limestone has PRNT 100%, a larger amount must be applied to achieve the same neutralizing effect. The lower the PRNT, the larger the physical dose to apply. Enter the recommended dose and the PRNT of the limestone to be used.
Soil Sum of Bases
Computes the soil sum of bases (SB) = calcium + magnesium + potassium (adding sodium when relevant), expressed in cmolc/dm³. The SB represents the total exchangeable basic cations and is one of the components of the CEC, used to calculate base saturation. High values indicate fertile soils well supplied with basic nutrients. It is a direct calculation from the soil chemical analysis results. Enter the calcium, magnesium and potassium contents.
Soil Calcium/Magnesium Ratio
Computes the soil calcium/magnesium ratio = Ca content ÷ Mg content, an indicator of the balance between these two cations. Very high or very low ratios can induce deficiencies through nutrient antagonism; the range considered adequate for most crops is between 3:1 and 5:1. The choice of limestone (calcitic, magnesian or dolomitic) is made to adjust this ratio. Enter the calcium and magnesium contents from the soil test.
Fertilizer Rate by Nutrient Content
Computes the required fertilizer rate = nutrient requirement × 100 ÷ nutrient content in the fertilizer, converting the nutrient recommendation (in kg/ha of the element) into the physical amount of fertilizer to apply. For example, to supply 90 kg/ha of nitrogen using urea (45% N), 200 kg/ha of the product are needed. It is an essential calculation in fertilization to translate the technical recommendation into commercial-product quantity. Enter the nutrient requirement and its content (%) in the fertilizer.
P2O5 to P Conversion
Converts an amount of P2O5 (phosphorus pentoxide) into elemental phosphorus (P) = P2O5 × 0.4364, a factor derived from the relationship between molar masses. Phosphate fertilizers and agronomic recommendations are usually expressed in P2O5 (the "oxide" form), but soil tests and plant contents use elemental phosphorus (P). Knowing how to convert between the two forms avoids dosing errors in phosphate fertilization. Enter the amount of P2O5.
K2O to K Conversion
Converts an amount of K2O (potassium oxide) into elemental potassium (K) = K2O × 0.8301, a factor derived from the compounds' molar masses. Like phosphorus, potassium is reported in fertilizers and recommendations in oxide form (K2O), while soil and plant-tissue analyses use the element K. Correct conversion is indispensable to close the nutrient balance and dose potassium fertilization. Enter the amount of K2O.
Nutrient Amount in Fertilizer
Computes the amount of nutrient contained in a fertilizer dose = fertilizer quantity × nutrient content ÷ 100. It is the inverse of the rate-by-content calculation: from the physical amount of fertilizer applied and its content (shown in the NPK formula), it finds how many kilograms of the nutrient were actually supplied to the crop. Useful to check the nutritional balance and compare fertilizer sources. Enter the fertilizer quantity and the nutrient content (%).
Animal Unit
Computes the animal unit (AU) of a bovine = live weight ÷ 450, where one AU corresponds, by convention, to a 450 kg animal. The animal unit standardizes herds of different weights and categories on a common basis, allowing planning of pasture stocking and carrying capacity. A 540 kg animal, for example, equals 1.2 AU. It is a fundamental concept in pasture management and cattle ranching. Enter the animal's live weight.
Stocking Rate (AU/ha)
Computes a pasture's stocking rate = total animal units ÷ area in hectares, indicating how many AU are kept per hectare. It is the main pasture-management parameter: stocking above the carrying capacity leads to overgrazing and degradation, while very low stocking underuses the area. The adequate rate depends on pasture productivity, climate and management. Enter the total animal units and the pasture area.
Cattle Dry Matter Intake
Computes the daily dry matter intake (DMI) of a bovine = live weight × percentage of live weight ÷ 100. Dry matter intake is the basis for sizing the diet and calculating pasture carrying capacity: cattle usually ingest 2% to 3% of their live weight in dry matter per day, varying with category, feed quality and target performance. Enter the live weight and the estimated intake as a percentage of live weight.
Pasture Dry Matter Availability
Computes a pasture's dry matter availability = green mass production × dry matter content ÷ 100, converting the green forage (with water) into the effective amount of dry matter per hectare. Dry matter is what actually feeds the animal, and this availability, combined with intake, defines how many animals the area can support and for how long. Enter the green mass production and the forage dry matter content.
Herd Birth Rate
Computes the herd birth rate = calves born ÷ breeding cows × 100, one of the main zootechnical indices of reproductive efficiency. High rates indicate good reproductive management, adequate nutrition and herd health; low values signal fertility or management problems. In beef cattle, birth rates above 80% are considered excellent. Enter the number of calves born and the number of breeding cows.
Herd Offtake Rate
Computes the herd offtake rate = (animals sold + slaughtered in the year) ÷ total herd × 100, measuring productivity and the herd's ability to generate revenue without depleting the stock. A high offtake rate indicates an efficient system that removes finished animals at the speed the herd renews itself. It is a central economic-zootechnical indicator in beef production. Enter the total animals sold and slaughtered in the year and the total herd.
Grain Weight Correction by Moisture
Computes the corrected weight of a grain lot = wet weight × (100 − current moisture) ÷ (100 − base moisture), discounting the excess water to the commercial reference moisture. Grain harvested above the standard moisture (usually 13–14%) needs its weight adjusted, since part of the mass is merely water that will be removed in drying. This discount is the basis of trading and weighing at cooperatives and warehouses. Enter the wet lot weight, the current moisture and the base moisture.
Grain Drying Weight Loss
Computes the percentage weight loss in grain drying = (current moisture − base moisture) ÷ (100 − base moisture) × 100, i.e. how much of the lot's mass will be lost when reducing moisture to the commercial standard. Unlike the simple moisture difference, this formula accounts for water being removed from a mass that also shrinks, providing the correct discount applied at weighing. Enter the grain's current moisture and the commercial base moisture.
Poultry Stocking Density
Computes the poultry stocking density = number of birds ÷ usable house area, in birds per square metre. It is a central parameter in poultry management: high densities increase production per area but worsen thermal comfort, litter quality and performance, and raise mortality. For broilers, 10 to 16 birds/m² are typical depending on climate and slaughter weight. Enter the number of birds and the usable house area.
Flock Mortality Rate
Computes a flock's mortality rate = dead birds ÷ housed birds × 100, one of the main health and management indicators in animal production. Low rates indicate good management, health and environment; mortality spikes signal problems such as disease, heat stress or management failures. In broilers, cumulative mortality below 4–5% is considered good. Enter the number of dead birds and the number of birds housed at the start of the flock.
Flock Viability
Computes the viability (or survival) of a flock = (housed birds − dead birds) ÷ housed birds × 100, the complement of the mortality rate. Viability expresses the proportion of animals that reached the end of the cycle alive and is a direct component of the production efficiency index (PEF). The higher the viability, the better the zootechnical and economic result of the flock. Enter the number of birds housed and the number that died during rearing.
Broiler Production Efficiency Index
Computes the broiler production efficiency index (PEF) = (viability × average weight) ÷ (age × feed conversion) × 100, a metric that summarises the flock's zootechnical performance in a single number, combining survival, weight gain, earliness and feed efficiency. The higher the PEF, the better the result: values above 350–400 indicate high-performance flocks. It is the main comparative indicator between flocks and farms. Enter viability, average weight, age and feed conversion.
Average Feed Intake per Bird
Computes the average feed intake per bird = total feed consumed ÷ number of birds, in kilograms per bird in the period. It is a basic feed-management indicator, used to track flock development, plan feed purchases and calculate costs. Combined with weight gain, it yields feed conversion. Deviations from expected intake may indicate health, environment or feed-quality problems. Enter the total feed consumed and the number of birds.
Flock Uniformity
Computes the uniformity of a poultry flock = birds within ±10% of the mean weight ÷ total birds sampled × 100. Uniformity is essential, especially in layers and breeders: uniform flocks respond better to light and feed management and have a higher, more sustained production peak. Uniformity above 80% is considered good. Enter how many birds in the sample fell within ±10% of the mean and the total birds weighed.
Carcass Yield
Computes the carcass yield = carcass weight ÷ live weight × 100, indicating what percentage of the live animal's weight becomes carcass after slaughter. It is a decisive economic indicator: it defines how much marketable product is obtained from each animal. Yield varies by species and category — broilers yield about 70–73%, cattle 50–55%. Enter the carcass weight and the animal's live weight.
Laying Rate
Computes the laying rate = eggs produced in the day ÷ number of hens × 100, the main productivity indicator in layers. The laying rate rises quickly after the onset of production, reaches a peak (usually above 90%) and declines over the cycle. Tracking it daily allows detecting management, nutrition, light or health problems. Enter the number of eggs produced in the day and the number of hens in lay.
Egg Mass Produced
Computes the egg mass produced = number of eggs × average egg weight ÷ 1000, giving the total production in kilograms. Egg mass is a more complete indicator than a simple count, since it weighs quantity and size — a hen may lay many small eggs or few large ones. It is the basis for calculating feed conversion per egg mass and revenue. Enter the number of eggs and the average egg weight in grams.
Swine Pen Density
Computes the swine pen density = number of pigs ÷ pen area, in animals per square metre. The space per animal directly affects welfare, performance and the occurrence of cannibalism and disease: overcrowding reduces weight gain and increases stress. The recommended area varies with the phase (nursery, growing, finishing) and the animals' weight. Enter the number of pigs and the pen area.
Fish Tank Biomass
Computes the biomass of an aquaculture tank = number of fish × average weight, in kilograms. Biomass is the central variable in aquaculture management: it defines the daily feed amount (feeding rate), the oxygen demand and the tank's stocking density. Since it grows over the cycle, it should be re-estimated periodically through biometrics. Enter the number of fish and the average weight of the animals.
Fish Stocking Density
Computes the stocking density = total biomass ÷ tank volume, in kilograms per cubic metre. It is the parameter that defines the production limit of an aquaculture system: high densities require more aeration and water renewal to maintain oxygen and dilute excreta. The safe limit depends on the species, the system (pond, net cage, RAS) and the oxygenation capacity. Enter the total biomass and the usable tank volume.
Fish Feeding Rate
Computes the daily feed amount in aquaculture = total biomass × feeding rate ÷ 100. The feeding rate, expressed as a percentage of biomass, decreases as fish grow (fingerlings eat proportionally more than adults) and varies with water temperature. Correct feeding avoids waste, water pollution and performance loss. Enter the total biomass and the feeding rate as a percentage of biomass.
Fish Survival Rate
Computes the survival rate in aquaculture = harvested fish ÷ stocked fish × 100, a key indicator of the production cycle's success. High survival reflects good water quality, adequate management and health; drops indicate stress, disease or oxygenation problems. Together with weight gain and feed conversion, it defines the productivity and economic viability of the farming. Enter the number of harvested fish and the number of stocked fish.
Fish Apparent Feed Conversion
Computes the apparent feed conversion ratio (FCR) in aquaculture = feed supplied ÷ biomass gain, i.e. how many kilograms of feed were needed to produce one kilogram of fish. It is the main efficiency and cost indicator of farming: the lower the FCR, the more efficient the system. In fish, values between 1.2 and 1.8 are common under good conditions. Quality feed, correct management and good water reduce conversion. Enter the feed supplied and the biomass gain in the period.
Hectoliter Test Weight
Computes the hectoliter test weight of grain = grain mass ÷ occupied volume, in kilograms per hectoliter (100 litres). Test weight is a classic indicator of physical quality and grain density, used in the classification and trading of wheat, maize, barley and other cereals: high values indicate plump, sound, well-formed grain, while low values signal shrivelled, damaged or immature grain. Enter the grain mass and the occupied volume in hectoliters.
Cost per Kilogram Produced
Computes the cost per kilogram produced = total production cost ÷ quantity produced, in currency per kilogram. It is the economic indicator that summarises the cost efficiency of a farming activity, allowing comparison with the selling price to assess margin and viability. Reducing the cost per kilogram — via better feed conversion, scale or health — is the central path to profitability. Enter the total production cost and the quantity produced in kilograms.
Milling Yield
Computes the milling yield = weight after processing ÷ gross weight × 100, indicating what percentage of the gross product (in husk, with impurities) becomes processed, marketable product. It is decisive in the post-harvest of rice, coffee and other grains: hulling, drying and cleaning remove mass, and high yields mean more final product per bag harvested. Enter the weight after processing and the initial gross weight.
Hatchability Rate
Computes the hatchability rate = chicks hatched ÷ eggs set × 100, a central hatchery indicator measuring the efficiency of converting eggs into chicks. Hatchability depends on egg fertility, the quality of incubation management (temperature, humidity, turning) and the age of the breeders. Values above 80% of eggs set are usually good. Enter the number of chicks hatched and the number of eggs set.
Egg Fertility Rate
Computes the egg fertility rate = fertile eggs ÷ eggs set × 100, measuring the proportion of effectively fertilised eggs in a breeder flock. Fertility reflects the flock's reproductive efficiency, depending on the male:female ratio, age and nutrition of the birds. It is distinct from hatchability: an egg may be fertile but fail to hatch due to incubation problems. Enter the number of fertile eggs (by candling) and the number of eggs set.
Board Foot
Computes the volume of sawn lumber in board feet = thickness (in) × width (in) × length (ft) ÷ 12, the traditional unit of the lumber trade in English-speaking countries. One board foot equals a piece of 1 in × 12 in × 1 ft (about 2,360 cm³). It is the basis for quoting and selling boards, slats and planks in woodworking and construction. Enter the thickness and width in inches and the length in feet.
Smalian Log Volume
Computes a log's volume by Smalian's formula = π/8 × (d1² + d2²) × L, estimating the volume from the cross-sectional areas of the two log ends and the length. It is one of the most-used rigorous scaling methods in forest inventory, requiring measurements only at the ends. It tends to slightly overestimate the volume of very tapered logs. Enter the diameters of the two ends in metres and the log length.
Huber Log Volume
Computes a log's volume by Huber's formula = π/4 × dm² × L, using only the diameter measured at the middle of the log length. It is a simple and accurate rigorous scaling method for slightly tapered logs, but it requires access to the midpoint of the piece, which is not always practical in the field. Enter the mid-log diameter in metres and the length.
Newton Log Volume
Computes a log's volume by Newton's (or prismoidal) formula = π·L/24 × (d1² + 4·dm² + d2²), combining the diameters of the two ends and the middle of the log. It is the most accurate rigorous scaling method, since it treats the log as a prismoid solid, better capturing taper. Requiring three measurements, it is used as a reference to assess the accuracy of Smalian and Huber. Enter the end and middle diameters and the length.
Hoppus Log Volume
Computes a log's volume by Hoppus's formula = (C/4)² × L, where C is the mean circumference (quarter girth). Traditional in the British timber trade, the method underestimates the true geometric volume by about 21%, empirically discounting the slabs lost in sawing — i.e. it approximates the usable board volume, not the total solid volume. Enter the log's mean circumference in metres and the length.
Stere to Cubic Meter
Converts stacked firewood volume into solid cubic metres = steres × stacking factor. The stere (st) measures stacked wood including the empty spaces between logs, while the solid cubic metre (m³) measures only the wood. The stacking factor (usually 0.6 to 0.75) depends on the shape, diameter and arrangement of the pieces. It is essential to trade and compare volumes of firewood and roundwood. Enter the stacked volume and the stacking factor.
Firewood Stacking Factor
Computes the firewood stacking factor = solid volume ÷ stacked volume, indicating what fraction of the stacked volume is actually wood (the rest are empty spaces). It is the conversion key between stere and solid cubic metre: straight, thick, well-arranged pieces have a high factor (near 0.75), while crooked, thin logs have a low factor. Determining it in the field avoids errors in buying and selling firewood. Enter the measured solid and stacked volumes.
Wood Moisture (Dry Basis)
Computes the wood moisture content on a dry basis = (wet mass − dry mass) ÷ dry mass × 100, the standard form in wood science and technology. The dry mass is obtained by oven-drying the sample to constant weight. Moisture content controls dimensional stability, strength and the wood's suitability for gluing, painting and structural use; air-dried wood is around 12–18%. Enter the wet mass and the dry mass of the sample.
Wood Moisture (Wet Basis)
Computes the wood moisture content on a wet basis = (wet mass − dry mass) ÷ wet mass × 100, a form used mainly in the biomass and energy sector, where the water fraction over the total as-received weight matters. For the same sample, the wet-basis value is always lower than the dry-basis one. Correctly converting between bases is important when comparing calorific value and prices of wood chips and firewood. Enter the wet mass and the dry mass.
Wood Basic Density
Computes the wood basic density = oven-dry mass ÷ green (saturated) volume, in kilograms per cubic metre. It is the physical property most used to characterise wood quality: it relates directly to mechanical strength, calorific value, pulp yield and durability. Species range from about 300 kg/m³ (light woods) to over 900 kg/m³ (hardwoods). Enter the oven-dry mass and the green volume of the sample.
Wood Volumetric Shrinkage
Computes the wood volumetric shrinkage = (green volume − dry volume) ÷ green volume × 100, measuring how much the piece decreases in volume as it loses water below the fibre saturation point. Total shrinkage ranges from about 7% to 20% depending on the species and is decisive for dimensional stability: high-shrinkage woods are more prone to warping, splits and cracks during drying. Enter the green volume and the dry volume of the piece.
Log Sawing Yield
Computes the sawing yield of a log = sawn lumber volume ÷ log volume × 100, indicating what percentage of the log becomes usable sawn pieces. The rest becomes slabs, sawdust and edgings. The yield — usually between 45% and 65% — depends on the log diameter, taper, equipment and cutting pattern. It is the main efficiency and cost indicator in sawmills. Enter the sawn lumber volume and the log volume.
Green Log Weight
Computes the weight of a green log = volume × green density, in kilograms. The green density (freshly cut, water-saturated wood) is much higher than the dry density, sometimes exceeding 1,000 kg/m³ in some species. Estimating the weight is essential for sizing transport, truck and crane capacity and the logistics costs of forest harvesting. Enter the log volume and the species' green density.
Tree Volume by Form Factor
Computes the volume of a standing tree by the form factor = (π/4 × DBH²) × height × form factor, i.e. basal area × height × form factor. The form factor (usually 0.4 to 0.6) corrects the cylinder volume for the trunk's real shape, which tapers toward the top. It is the most widespread method to estimate individual volume in forest inventories. Enter the DBH (diameter at 1.30 m) in metres, the total height and the form factor.
Forest Stand Volume
Computes the forest stand volume = average volume per tree × number of trees per hectare, giving the timber stock in m³/ha. It is the central result of a forest inventory, used to plan harvesting, estimate production and assess the stand's value. Combined with the total area and timber price, it provides the standing stock and plantation value. Enter the average volume per tree and the tree density per hectare.
Mean Annual Increment
Computes the mean annual increment (MAI) of a stand = accumulated volume ÷ age, in m³/ha/year, indicating the forest's average productivity over its whole life. The MAI rises, reaches a maximum and then declines; the point where MAI is maximum defines the technical rotation age, which maximises the average timber production. It is a key indicator in forest management. Enter the current volume per hectare and the stand age.
Tree Form Quotient
Computes the form quotient of a tree = diameter at half height ÷ DBH, a dimensionless index describing the trunk's taper. The closer to 1, the more cylindrical the tree (less taper); lower values indicate more conical trunks. The form quotient relates to the form factor and helps choose suitable volume equations. Enter the diameter measured at half the height and the DBH.
Product per Spray Tank
Computes the amount of product (pesticide) to put in each sprayer tank = rate per hectare × tank capacity ÷ application volume. It converts the label recommendation (per hectare) into the dose per refill, avoiding under- or over-dosing errors in practice. It is an essential, everyday calculation in pesticide application. Enter the recommended rate per hectare, the tank capacity and the spray volume per hectare.
Area Covered per Tank
Computes the area a sprayer tank covers = tank capacity ÷ application volume, in hectares per refill. Knowing the area covered per tank helps plan how many tanks will be needed for the field, the water-refill logistics and the total amount of product to prepare. Enter the tank capacity and the spray volume per hectare.
Spray Nozzle Flow Rate
Computes the required flow rate per nozzle when calibrating the sprayer = (volume per hectare × speed × nozzle spacing) ÷ 600, in litres per minute. The constant 600 adjusts the units (L/ha, km/h and metres) to L/min. Knowing the target flow rate allows choosing the correct tip and checking, with a measuring cylinder and stopwatch, whether each nozzle is applying the right amount of spray. Enter the volume per hectare, the travel speed and the nozzle spacing.
Wet Film Thickness
Computes the wet film thickness (WFT) = target dry film thickness (DFT) ÷ (volume solids ÷ 100). During application, the painter controls the wet thickness with a comb gauge; on drying, the solvent evaporates and only the solids fraction remains, resulting in the DFT. Knowing the target WFT ensures reaching the dry thickness specified in standards. Enter the desired dry film thickness and the paint's volume solids content.
Dry Film Thickness
Computes the dry film thickness (DFT) = wet film thickness (WFT) × volume solids ÷ 100. The DFT is the final coating thickness after curing, the parameter that determines anticorrosive protection and the durability of industrial painting; it is what standards and reports specify and measure with thickness gauges. Paints with higher solids content yield more DFT per coat. Enter the applied wet thickness and the volume solids content.
Theoretical Paint Coverage
Computes the theoretical coverage of a paint = (volume solids × 10) ÷ DFT(µm), in square metres per litre. It is the area one litre would cover at the specified dry thickness, assuming perfect, loss-free application. The higher the solids content and the lower the required DFT, the greater the coverage. It is the basis for quotes, although practical coverage is always lower due to losses. Enter the volume solids content and the desired dry film thickness.
Practical Paint Coverage
Computes the practical coverage of the paint = theoretical coverage × application efficiency ÷ 100, discounting the real process losses. Losses vary widely by method: roller and brush lose little (80–95% efficiency), while conventional spray can lose half the paint to overspray (40–60% efficiency). Practical coverage is what really matters to buy the right amount of paint. Enter the theoretical coverage and the estimated application efficiency.
Paint Consumption by Area
Computes the paint consumption = area to paint ÷ practical coverage, in litres. It is the direct calculation to quote a paint job: dividing the total area by each litre's real coverage gives the amount of paint needed for one coat. For the whole job, multiply by the number of planned coats. Use the practical coverage (already including losses), not the theoretical one, to avoid buying too little. Enter the area to paint and the paint's practical coverage.
Paint Transfer Efficiency
Computes the paint transfer efficiency = paint actually deposited on the part ÷ total paint consumed × 100. The complement of this efficiency is the waste (overspray, evaporation, leftovers). HVLP and electrostatic guns have far higher transfer than conventional ones, reducing cost and environmental impact. Tracking this index helps choose the method and reduce losses. Enter the paint actually applied and the total paint consumed.
Paint Thinning
Computes the volume of thinner to add = paint volume × thinning percentage ÷ 100. Thinning adjusts the paint's viscosity to the application method (brush, roller, spray) and environmental conditions; each product's data sheet gives the recommended range and the thinner type. Thinning beyond the indicated amount reduces the coating's thickness and protection. Enter the paint volume and the recommended thinning percentage.
Number of Coats
Computes the number of coats needed = total desired dry thickness ÷ dry thickness per coat. In industrial painting, the specified DFT usually requires more than one coat, since each application deposits a limited thickness without sagging. Knowing the number of coats is essential to plan schedule, labour and paint consumption. Enter the total desired dry thickness and the dry thickness obtained per coat.
Painting Cost by Area
Computes the paint cost for a job = (area ÷ practical coverage) × price per litre. It combines paint consumption with the product price, giving the material cost of one coat; for the total, multiply by the number of coats and add labour and supplies (sandpaper, tape, thinner). It is the basis for quoting painting services. Enter the area to paint, the paint's practical coverage and the price per litre.
Paintable Area per Can
Computes the paintable area per can = can volume × paint coverage, in square metres. It is the quick way to know how many metres a can covers before buying: an 18-litre can with 10 m²/L coverage covers about 180 m² per coat. Compare with your job's area (multiplied by the coats) to decide how many cans to buy. Enter the can volume and the paint coverage per litre.
Rectangular Aquarium Volume
Computes the volume of a rectangular aquarium = length × width × height (in cm) ÷ 1000, giving the total litreage. It is the first number to know in aquarium keeping: it defines the fish capacity, the filter and heater size and the dosing of products. The actual usable volume is usually a bit lower due to substrate and free rim. Enter the internal length, width and height of the aquarium in centimetres.
Aquarium Heater Wattage
Estimates the aquarium heater wattage = volume × heating factor (W/L). As a rule of thumb, about 1 W per litre is used for moderate differences between ambient and desired temperature; cold environments or large aquariums call for higher factors (1.5 to 2 W/L). Correct sizing avoids temperature swings, which stress fish. Enter the aquarium volume and the heating factor suited to your climate.
Aquarium Filter Flow
Computes the required filter flow = aquarium volume × desired turnover, in litres per hour. The turnover indicates how many times per hour the whole aquarium volume passes through the filter; 4 to 6 times is recommended for community tanks and more for heavily stocked tanks or messy fish. Properly sizing the filter keeps the water clean and oxygenated. Enter the aquarium volume and the desired turnover.
Aquarium Turnover Rate
Computes an aquarium's turnover rate = filter flow ÷ aquarium volume, in times per hour. It is the inverse of sizing: from the flow of a filter you already have, it finds how many times per hour it recirculates all the water. Values between 4 and 6 are adequate for most aquariums; well below that indicates insufficient filtration. Enter the filter flow and the aquarium volume.
Aquarium Fertilizer Dose
Computes the fertilizer dose for a planted aquarium = volume × dose per 100 litres ÷ 100, in millilitres. Liquid fertilizers for aquatic plants give the recommendation per 100 L (or per volume); adjusting the dose to the real aquarium volume avoids excess nutrients — which cause algae — and shortage — which harms the plants. Enter the aquarium volume and the product's recommended dose per 100 litres.
Aquarium Water Change
Computes the volume of water to change in a partial water change = aquarium volume × change percentage ÷ 100, in litres. Periodic partial changes remove nitrate and waste, replenish minerals and maintain water quality — usually 20% to 30% per week. Changing a very high percentage at once can stress fish through abrupt parameter swings. Enter the aquarium volume and the desired change percentage.
Sprinkler Precipitation Rate
Computes a sprinkler's precipitation rate = flow ÷ covered area, in millimetres per hour (1 L/m² equals 1 mm of depth). It is the speed at which irrigation applies water over the lawn or garden. If the precipitation rate exceeds the soil's infiltration capacity, runoff and waste occur; knowing it allows adjusting the watering time to the desired depth. Enter the sprinkler flow and the area it covers.
Number of Sprinklers
Computes the number of sprinklers needed = total area to irrigate ÷ area covered per sprinkler. It is the starting point to design a garden or lawn irrigation system; in practice, overlap between sprinklers is planned (usually 10% to 20%) to ensure uniform coverage, which may increase the quantity. Enter the total area to irrigate and the area each sprinkler covers.
Irrigation Time by Depth
Computes the irrigation time = desired depth ÷ precipitation rate, in hours. The depth is the height of water (in mm) to apply to meet the plant's or lawn's need; dividing by the sprinkler's precipitation rate gives how long to keep the irrigation running. Longer, spaced waterings encourage deep roots better than short, frequent ones. Enter the desired depth and the system's precipitation rate.
Solar Panel Roof Area
Computes the roof area needed for solar panels = number of panels × area per panel, in square metres. A typical photovoltaic panel occupies about 2 m²; multiplying by the installation's quantity estimates the minimum usable roof area, without considering setbacks and shading. Checking whether the roof fits the area is an initial step of solar sizing. Enter the number of panels and the area of each panel.
Pool Chlorine Dose
Computes the amount of chlorine to add to the pool = (volume ÷ 1000) × desired ppm increase × (100 ÷ product chlorine content). It starts from the rule that 1 gram of 100% pure chlorine in 1000 litres raises free chlorine by 1 ppm, adjusting for the commercial product's purity (dichlor ~65%, calcium hypochlorite ~65-70%). Keeping free chlorine between 1 and 3 ppm ensures disinfection without irritating bathers. Enter the pool volume, the desired ppm increase and the product chlorine content.
Pool Shock Chlorine
Computes the chlorine amount for a shock treatment (superchlorination) = (volume ÷ 1000) × (target chlorine − current chlorine) × (100 ÷ purity). The shock treatment raises chlorine to high levels (usually 5 to 10 ppm) to destroy chloramines, algae and contamination after heavy use or rain. It accounts for the residual chlorine already present to avoid overdosing. After the shock, wait for chlorine to drop before reopening the pool. Enter the volume, the target chlorine, the current residual chlorine and the product purity.
Pool Cyanuric Acid
Computes the amount of cyanuric acid (chlorine stabilizer) to add = (volume ÷ 1000) × desired ppm increase, considering that about 1 g in 1000 L raises the stabilizer by 1 ppm. Cyanuric acid protects free chlorine from degradation by the sun's ultraviolet radiation, reducing chlorine consumption in outdoor pools. The ideal level is between 30 and 50 ppm; excess reduces chlorine's effectiveness. Enter the pool volume and the desired ppm increase.
Raise Pool Alkalinity
Computes the amount of sodium bicarbonate to raise total alkalinity = (volume ÷ 1000) × ppm increase × 1.68, a factor corresponding to the mass of bicarbonate needed to raise alkalinity by 1 ppm per 1000 L. Total alkalinity acts as a pH buffer: kept between 80 and 120 ppm, it prevents sharp swings that make the water corrosive or scaling. Enter the pool volume and the desired alkalinity increase.
Raise Pool Calcium Hardness
Computes the amount of calcium chloride to raise calcium hardness = (volume ÷ 1000) × ppm increase × 1.85, a factor reflecting the mass of calcium chloride to raise hardness by 1 ppm per 1000 L. Calcium hardness, kept between 200 and 400 ppm, prevents "soft" water from corroding surfaces and equipment seeking calcium, and "hard" water from forming scale. Enter the pool volume and the desired hardness increase.
Pool Soda Ash for pH
Computes the amount of soda ash (sodium carbonate) to raise pH = (volume ÷ 1000) × dose per 1000 L. Soda ash raises the pool water's pH, which should stay between 7.2 and 7.6 for chlorine to work well and not irritate eyes and skin. Since the pH response varies with alkalinity, the dose per 1000 L comes from the package or by trial, and this calculation converts it to your pool's volume. Enter the pool volume and the soda ash dose per 1000 litres.
Saltwater Pool Salt
Computes the amount of salt for a saltwater (electrolysis) chlorinator = volume × (target salinity − current) ÷ 1,000,000, in kilograms. The salt chlorinator generates chlorine from the salt dissolved in the water, eliminating the need to add chlorine manually; systems usually require between 2,500 and 4,000 ppm of salt. The calculation accounts for the salt already present to get the dose right. Enter the pool volume, the target salinity and the current salinity.
Pool Flocculant
Computes the amount of flocculant (clarifier) for the pool = (volume ÷ 1000) × dose per 1000 L. The flocculant clumps the fine suspended particles that make the water cloudy, forming flocs that settle to the bottom to be vacuumed, or are retained in the filter. It is used to clarify greenish or milky water. After settling, vacuum the bottom with the filter in the waste position. Enter the pool volume and the flocculant dose per 1000 litres.
Pool Turnover Time
Computes the pool turnover time = volume ÷ pump flow rate, in hours, i.e. how long it takes for the whole volume to pass once through the filter. One to two complete turnovers per day are recommended to keep the water clean; heavily used or heated pools call for more. Knowing the turnover helps set the pump's operating hours. Enter the pool volume and the pump flow rate.
Pool Pump Flow Rate
Computes the required pool pump flow rate = volume ÷ desired turnover time, in litres per hour. It is the way to size the pump: from the pool volume and the number of hours in which all the water should recirculate once, it gives the minimum flow the pump must provide. Also consider the head loss of the piping and filter when choosing the model. Enter the pool volume and the desired turnover time.
Pool Turnovers per Day
Computes the number of complete turnovers per day = (operating hours × pump flow rate) ÷ pool volume. It indicates how many times during the day all the pool water passes through the filtration system. Ideally at least one to two daily turnovers; values below 1 signal insufficient filtration, which favours cloudy water and algae growth. Enter the daily operating hours, the pump flow rate and the pool volume.
Pool Heating Energy
Computes the energy needed to heat the pool water = volume × temperature rise, in kilocalories (since water has a specific heat of 1 kcal per litre per degree Celsius). It is the theoretical energy to raise the temperature, not counting evaporation and radiation losses, which are usually large in pools. Dividing by the heater's capacity estimates the heating time. Enter the pool volume and the desired temperature rise.
Pool Evaporation Loss
Computes the daily water loss by evaporation = surface area × evaporation rate, in litres per day (1 mm evaporated per m² equals 1 litre). Evaporation is the main cause of the pool level dropping and varies with temperature, wind, humidity and sun exposure; a thermal cover greatly reduces this loss. Knowing the evaporation helps size the water replacement and treatment. Enter the surface area and the estimated evaporation rate.
Pool Surface Area
Computes the surface area (water mirror) of a rectangular pool = length × width, in square metres. The surface area is used to estimate evaporation loss, the dose of some surface products (such as maintenance algaecides) and the size of covers and thermal blankets. For irregularly shaped pools, sum the areas of simple shapes. Enter the pool length and width.
Round Pool Volume
Computes the volume of a round pool = π × (diameter ÷ 2)² × average depth × 1000, in litres. The volume is the starting point of all pool chemistry: dosing of chlorine, alkalizers, salt and other products is always proportional to the litreage. For pools with a sloped bottom, use the average depth between the shallow and deep ends. Enter the diameter and the average depth of the pool.
Langelier Saturation Index
Computes the Langelier saturation index (LSI) = pH + temperature factor + calcium hardness factor + alkalinity factor − 12.1 (constant). The LSI indicates the water's chemical balance: values near zero mean balanced water; negative ones indicate corrosive water (aggressive to surfaces and equipment); positive ones indicate a tendency to scale. The TF, CF and AF factors are obtained from tables based on temperature, hardness and alkalinity. Enter the pH and the three factors.
Bleach Dilution
Computes the volume of bleach to prepare a disinfectant solution = solution volume × desired concentration (ppm) ÷ (active chlorine × 10). It allows obtaining, for example, 200 ppm solutions for surface disinfection or 1,000+ ppm for critical areas, from common bleach (usually 2 to 2.5% active chlorine). Use clean water, prepare fresh and ventilate the area. Enter the solution volume, the desired concentration and the product's active chlorine content.
Water Disinfection Chlorine Dose
Computes the mass of chlorine to disinfect a water reservoir = volume × dosage (mg/L), in milligrams. To make water potable, typical doses of 2 to 5 mg/L of chlorine, with a contact time of at least 30 minutes, eliminate most microorganisms. It is the basic calculation in treating water from wells, tanks and cisterns. Convert the result to the commercial product according to its active chlorine content. Enter the water volume and the desired chlorine dosage.
Pool Filtration Rate
Computes a pool's filtration rate = filter flow ÷ filter area, in m³/h per m². It is the speed at which water passes through the filter media (sand, glass, cartridge); rates within the manufacturer's recommendation (usually around 30 to 50 m³/h/m² for residential sand filters) ensure good particle retention. Excessively high rates reduce filtration efficiency. Enter the filter flow and the filter area.
Pool Monthly Chlorine
Estimates the pool's monthly chlorine consumption = (volume ÷ 1000) × daily dose per 1000 L × 30 days, in grams. Maintenance requires daily chlorine replacement to offset consumption by organic matter, solar radiation and dilution by rain. Estimating the monthly consumption helps plan product purchases and the pool's maintenance cost. Enter the pool volume and the daily chlorine dose per 1000 litres.
Hair Dye to Developer Ratio
Computes the amount of developer (peroxide) to mix with hair dye = dye volume × the indicated ratio. Each colour line specifies a ratio (1:1, 1:1.5, 1:2), and following it is essential for the colour to come out right and the product to work well; more developer lifts more, less developer deposits more colour. Enter the dye volume and the developer ratio recommended on the package.
Peroxide Volume to Percent
Converts the "volume" of hydrogen peroxide to a percentage concentration = volume × 0.3. Hair developers are sold in volumes (10, 20, 30, 40 vol), but the actual hydrogen peroxide concentration as a percentage is what defines the lifting power: 20 volumes equal about 6%. Knowing the equivalence helps choose the right developer. Enter the peroxide volume.
Peroxide Percent to Volume
Converts the percentage concentration of hydrogen peroxide to "volume" = percentage ÷ 0.3, the inverse of the equivalence used in hair developers. It is useful when a formula or imported product gives the concentration as a percentage and you need to know which commercial volume it corresponds to — for example, 9% equals 30 volumes. Enter the desired concentration as a percentage.
Dilute Peroxide (Volumes)
Computes the distilled water to add to dilute a peroxide from a higher volume to a lower one = volume × (initial volume ÷ final volume − 1). For example, to turn 100 mL of 40-volume peroxide into 20-volume, add 100 mL of water, doubling the total. It is handy when you only have a strong peroxide and need a milder one. Enter the peroxide volume, the initial volume and the desired final volume.
Bleach Powder to Developer
Computes the amount of developer to mix with bleach powder = grams of powder × ratio. Hair bleaching usually uses ratios of 1:1.5 to 1:2 (powder:developer); the mix should form a smooth cream, neither too dry nor runny. More developer makes the mix more fluid and the action milder. Enter the amount of bleach powder and the developer ratio.
Toner to Developer Ratio
Computes the developer to mix with toner = toner volume × ratio. Toners are usually used with low-volume developers (generally 1:2 with 10 volumes) to neutralise unwanted tones, such as the yellowing of bleached hair, without lifting. Following the ratio avoids an overly ashy result. Enter the toner volume and the developer ratio.
Dilute Peroxide (Percent)
Computes the water to add to dilute a hydrogen peroxide solution from a higher concentration to a lower one = volume × (initial concentration ÷ final concentration − 1), applying the solute conservation rule (C1·V1 = C2·V2). Useful to prepare household or cleaning-grade peroxide from a concentrated solution. Enter the solution volume, the initial concentration and the desired final one.
Simple Syrup Ratio
Computes the amount of sugar for simple syrup = water volume × ratio. Simple syrup is the sweetening base of countless cocktails: at a 1:1 ratio (equal volumes/mass) it yields a light syrup; at 2:1 (rich syrup) a denser, sweeter one that sweetens with less volume. Heat until dissolved, without over-boiling. Enter the water volume and the desired sugar ratio.
Cocktail ABV
Estimates the alcohol content (ABV) of a cocktail = (spirit volume × spirit strength) ÷ total drink volume. It shows how strong the drink is after dilution by ice, juices, tonic water and other ingredients — a drink with 50 mL of 40% spirit in a 200 mL total is around 10%. For several spirits, sum the alcohol contributions. Enter the spirit volume and strength and the total drink volume.
Alcohol Dilution
Computes the volume of concentrated alcohol to obtain a diluted solution = final volume × target concentration ÷ source concentration (the C1·V1 = C2·V2 rule). For example, to prepare 1 litre of 70% alcohol from 96% alcohol, use about 729 mL of alcohol and top up with water to 1 litre. 70% alcohol is more effective as an antiseptic than 96%. Enter the desired final volume, the target concentration and the available alcohol concentration.
Drink Volume by Parts
Computes the total volume of a drink described in parts = number of parts × millilitres per part. Many cocktail recipes use "parts" instead of fixed measures (for example, 2 parts spirit, 1 lime, 1 syrup); by setting how many mL each part is worth, you scale the drink to one or many servings while keeping the proportions. Enter the total number of parts and the volume of each part.
Servings per Bottle
Computes how many servings a bottle yields = bottle volume ÷ serving volume. Useful to plan a party or stock a bar: a 750 mL bottle served in 50 mL measures yields 15 servings. Multiplying by the number of bottles and comparing with the expected consumption per guest, you size how much to buy. Enter the bottle volume and the serving volume.
Party Ice Amount
Computes the amount of ice for a party = number of people × ice per person. As a rule of thumb, about 1 kg of ice per guest is estimated to chill drinks and serve in glasses at events of a few hours; longer parties or hot days call for more. Enter the number of people and the estimated amount of ice per person.
Gas Cylinder Duration
Estimates the duration of a gas cylinder = gas mass ÷ daily consumption, in days. A standard 13 kg cylinder contains 13 kg of LPG; consumption varies with the number of people and stove use (an average family spends 0.3 to 0.5 kg/day). Knowing the duration helps schedule the swap and control the household budget. Enter the cylinder gas mass and the estimated daily consumption.
Monthly Gas Cost
Estimates the monthly gas cost = (daily consumption × 30 ÷ cylinder mass) × cylinder price. It converts gas consumption into a fraction of a cylinder per month and multiplies by the price, giving how much LPG is spent per month — useful for the household budget and to compare with piped gas. Enter the daily consumption, the cylinder mass and the price paid.
Cleaning Product Dilution
Computes the amount of concentrated cleaning product to add = water volume × dose per litre. Concentrated disinfectants, detergents and degreasers give the recommended dilution on the package (in mL per litre of water); following it ensures effectiveness without waste or excess, which can damage surfaces. Enter the water volume and the product dose per litre.
Perfume Essence Amount
Computes the amount of essence (aromatic concentrate) to make a perfume = total volume × concentration ÷ 100. The concentration defines the category: cologne (3–5%), eau de toilette (5–15%), eau de parfum (15–20%) and parfum (20–30%); the rest of the volume is topped up with grain alcohol and a little water. Higher concentration means a more intense and long-lasting fragrance. Enter the desired total volume and the essence concentration.
Monthly Car Fuel Cost
Estimates the monthly car fuel cost = (kilometres per month ÷ consumption in km/L) × price per litre. It shows how much you spend on fuel per month from the mileage, the vehicle efficiency and the fuel price — a basis for the transport budget and to compare cars or modes. Enter the kilometres driven per month, the car consumption and the fuel price.
Henna Activator Mix
Computes the amount of activator (or water) to mix with henna powder = grams of henna × ratio. Henna for eyebrows and hair is diluted into a creamy paste; the liquid:powder ratio varies with the brand and desired result, with about 2 mL per gram being a common starting point. The consistency influences the colour's fixation and intensity. Enter the amount of henna powder and the activator ratio.
Shampoo Washes Yield
Computes how many washes a shampoo bottle yields = bottle volume ÷ volume used per wash. It helps compare the real cost per wash between brands and sizes and plan repurchases: a 500 mL bottle used at 10 mL per wash yields about 50 washes. Using the right amount (a "pea" to a "walnut", depending on the hair) avoids waste. Enter the bottle volume and the volume used per wash.
Edge Banding Length
Computes the length of edge banding to cover the edges of MDF pieces = 2 × (length + width) × number of pieces, i.e. each piece's perimeter times the quantity. Edge banding covers the exposed core of the MDF, providing finish and protection. Add a 5% to 10% margin for offcuts and losses on the edgebander. Enter the piece length and width and the number of pieces.
MDF Sheets Needed
Computes the number of MDF sheets needed = total area of the pieces ÷ (sheet area × yield). A standard sheet measures 2.75 × 1.84 m (≈ 5.07 m²), but 100% is never used due to cutting-plan offcuts — hence the yield factor (typically 70% to 85%). Always round up when buying. Enter the total area of the pieces, the sheet area and the estimated yield.
Sheet Cutting Yield
Computes the yield of a cutting plan = usable area of the pieces ÷ sheet area × 100, indicating what percentage of the sheet becomes usable pieces and how much becomes scrap. A good cutting plan (manual or via optimisation software) raises the yield, reducing material cost and waste. Values above 80% are usually good in custom furniture. Enter the usable area of the pieces and the sheet area.
Drawer Slide Gap
Computes the usable drawer width between slides = opening width − 2 × slide thickness, ensuring the clearance the drawer needs to glide. Side slides take up a few millimetres on each side (the common telescopic one requires 12.7 mm per side); getting this clearance wrong makes the drawer jam or sit loose. Always check the slide manufacturer's recommended clearance. Enter the opening width and the slide thickness (clearance).
Hinges per Door
Estimates the number of hinges for a furniture door = round up of (height ÷ 500), following the rule of thumb of one hinge every half metre of door. Taller and heavier doors require more hinges to avoid warping or sagging; glass or solid doors may need extra reinforcement. Enter the door height in millimetres.
Wood Dowels Count
Computes the number of dowels to join two wood pieces = (joint length ÷ spacing) + 1, distributing the dowels evenly along the joint with one at each end. Dowels align and reinforce the glue-up; typical spacing is between 80 and 150 mm depending on the load. Enter the joint length and the desired spacing between dowels.
Wood Varnish Amount
Computes the amount of varnish (or sealer) to finish a wood surface = area × number of coats ÷ coverage per litre. Varnish protects and enhances the wood; usually 2 to 3 coats are applied, lightly sanding between them. Coverage varies with the product and the wood's porosity (porous woods absorb more on the first coat). Enter the area, the number of coats and the varnish coverage.
Woodworking Glue Amount
Computes the amount of woodworking glue = glue area × the spread rate per m². White (PVA) glue is the most used to join wood; the typical spread is between 150 and 250 g/m², applied evenly on both faces for a strong bond. Excess glue runs and stains; too little weakens the joint. Enter the glue area and the desired spread rate.
MDF Sheet Weight
Computes the weight of an MDF sheet = area × thickness (in metres) × density. MDF has a density around 700 kg/m³ (particleboard is a bit lower); a 15 mm sheet is quite heavy, which matters for sizing transport, assembly and the wall-fixing hardware. Enter the sheet area, the thickness in millimetres and the material density.
Custom Furniture Price
Estimates the price of custom furniture by the square-metre-of-board method = board area × price per m². It is the most used way for quick quoting in cabinetmaking: the price per m² already includes board, edge banding, hardware and labour, varying with the finish and region. For detailed quotes, add special items (glass doors, lighting, premium hardware) separately. Enter the board area of the furniture and the price per m².
Cabinet Shelves Count
Estimates the number of shelves that fit in a cabinet = usable height ÷ spacing between shelves. The spacing depends on what will be stored (books need ~300 mm, appliances more); this calculation helps divide the internal height proportionally. Round according to use and account for each shelf's thickness. Enter the internal usable height and the desired spacing.
Pieces per Edge-Banding Roll
Computes how many pieces a roll of edge banding serves = roll length ÷ each piece's perimeter. Banding rolls come in standard lengths (usually 20, 50 or 100 m); knowing how many pieces each roll covers helps buy the right quantity and plan production. Allow a margin for joints and losses. Enter the roll length and the perimeter of the piece to be covered.
Glass or Mirror Weight
Computes the weight of a sheet of glass or mirror = area × thickness × 2.5, since each millimetre of glass weighs about 2.5 kg per square metre (density ≈ 2,500 kg/m³). Knowing the weight is essential to choose the fasteners, size the support and assess how many people are needed to transport and install it safely. Enter the glass area and thickness in millimetres.
Laminate Flooring Planks
Computes the number of laminate (or vinyl) flooring planks = floor area ÷ each plank's area. Add a 5% to 10% margin for cuts, corners and losses, and round to whole boxes when buying. Each plank's area is on the package; many boxes state directly the m² they cover. Enter the floor area and the area of each plank.
Frame Perimeter
Computes the perimeter (length of frame stock) to frame a picture = 2 × (length + width). It is the amount of moulding needed to surround the piece; at the 45° corners, each side needs a bit more for the mitre cut, so add a margin. Also useful for canvas stretchers and mirrors. Enter the picture length and width.
Tattoo Price by Area
Estimates the price of a tattoo by the area method = area in cm² × price per cm². It is one of the quoting methods used by studios, alongside the hourly rate and a minimum charge. The price per cm² varies with the style, detail, colour and the artist's experience; very small pieces usually have a minimum charge. Enter the approximate tattoo area and the price per cm² charged.
Tattoo Sessions
Estimates the number of sessions to complete a tattoo = total estimated hours ÷ hours per session. Large or highly detailed tattoos are done in several sessions to respect the endurance of the skin and the client and to allow healing between stages. Sessions usually last 2 to 4 hours. Round up when scheduling. Enter the total estimated hours and the duration of each session.
Spray Paint Cans
Computes how many spray paint cans are needed = area to paint ÷ coverage per can. Spray cans cover a limited area per coat (usually 1 to 3 m² per 400 mL can), far less than roller paint; for good coverage, several thin coats are applied. Add a margin for overspray losses. Enter the area to paint and the coverage of each can.
LED Strip Power
Computes the total power of an LED strip = length × power per metre. Strips state the power per metre in the spec (e.g. 14.4 W/m for the 5050 at 60 LEDs/m); the total defines the power-supply size, which should have at least a 20% margin. Enter the strip length and the power per metre.
Max LED Strip Length per Supply
Computes the maximum length of LED strip a power supply can feed = supply power ÷ strip power per metre. To avoid overloading the supply, a 20% margin is recommended (use about 80% of the rated power). Long runs may require power re-injection to avoid brightness drop at the far end. Enter the supply power and the strip power per metre.
Rebar Weight
Computes the weight of a steel rebar = 0.006165 × diameter² × length, where the constant comes from the steel density (7,850 kg/m³) applied to the circular section. It is essential to buy steel by weight (sold in kg) and to check invoices: a 10 mm bar weighs about 0.617 kg per metre. Enter the rebar diameter in millimetres and the total length.
Steel Flat Bar Weight
Computes the weight of a steel flat bar = width × thickness × length × 0.00785, a factor combining the steel density (7.85 g/cm³) with unit conversion (mm and m). Flat bars are widely used in metalwork for railings, gates and structures; knowing the weight allows quoting the purchase by the kilo and sizing transport. Enter the bar width, thickness and length.
Steel Plate Weight
Computes the weight of a steel plate = area × thickness × 7.85, since each millimetre of steel thickness weighs 7.85 kg per square metre (density 7,850 kg/m³). It applies to black, galvanised and checker plates. Knowing the weight is fundamental for transport, fixing and quoting by the kilo. For aluminium, swap the factor for ~2.71. Enter the plate area and the thickness in millimetres.
Steel Round Tube Weight
Computes the weight of a steel round tube = π × (outer diameter − wall thickness) × thickness × 7.85 ÷ 1000 × length. The formula uses the mean wall diameter to obtain the tubular section area. Round tubes are common in steel structures, handrails and furniture; the weight defines cost, transport and load capacity. Enter the outer diameter, the wall thickness and the length.
Welded Mesh Panels
Computes the number of welded mesh panels = area to cover ÷ panel area. Welded meshes (for floors, slabs and subfloors) come in standard panels of 2.45 × 6.00 m (≈ 14.7 m²) or in rolls; add a 10% to 15% margin for the required overlaps between panels. Round up when buying. Enter the total area to cover and the area of each panel.
Column Stirrups
Computes the number of stirrups for a column or beam = (length ÷ spacing) + 1, distributing the stirrups along the member with one at each end. Stirrups confine the longitudinal bars and resist shear; the spacing is defined in the design (often between 100 and 200 mm, with closer spacing at the ends). Enter the column length and the spacing between stirrups.
Steel Bars to Buy
Computes the number of steel bars to buy = total length needed ÷ length of each bar. Construction steel bars are sold in a standard 12 m length; this calculation converts the project's total metreage into the number of bars, and you should round up and account for losses from cuts and laps. Enter the total length needed and the bar length.
Wall Blocks Count
Computes the number of blocks for a wall = wall area × blocks per m². The number of blocks per m² depends on the block size: the 14×19×39 cm concrete block yields about 12.5 units/m², while smaller blocks yield more. Add 5% to 10% for breakage and cutting losses. Enter the wall area and the number of blocks per square metre.
Fence Posts Count
Computes the number of posts of a fence = (perimeter ÷ spacing) + 1, adding one post to close the start and end of the run. The spacing between posts depends on the fence type (wire fences usually use 2 to 3 m); corners and gates need extra reinforced posts. Enter the fence perimeter and the spacing between posts.
Fence Wire Length
Computes the total length of wire for a fence = perimeter × number of strands. A smooth or barbed wire fence uses several parallel strands (typically 5 to 8); multiplying the perimeter by the number of strands gives the total length to buy. Add a margin for tying and tensioning. Enter the fence perimeter and the number of strands.
Chain-Link Fence Rolls
Computes the number of chain-link fence rolls = fence perimeter ÷ roll length. Fencing meshes (galvanised, coated or for courts) come in rolls of standard length, commonly 25 m; round up and add a margin for joints. Enter the fence perimeter and the length of each roll.
Razor Wire Rolls
Computes the number of razor wire (concertina) rolls to protect a wall = wall length ÷ roll coverage. Concertina comes compressed and expands on installation; the coverage per roll (usually around 8 to 12 m when stretched) is on the package. Round up and account for the brackets and fixing rods. Enter the wall length and the coverage per roll.
Fence Post Concrete
Computes the volume of concrete to set fence posts = number of posts × concrete volume per hole. Each hole receives some concrete to fix the post and ensure stability; the volume per hole depends on the diameter and depth of the bore. Add losses and round according to the mix. Enter the number of posts and the concrete volume per hole.
Topsoil Volume
Computes the volume of topsoil (or substrate) for a bed = area × depth, in cubic metres. It is the basic landscaping calculation to fill beds, planters and planting layers; the depth depends on what will be planted (lawn needs less, shrubs and vegetable gardens need more). Soil is usually sold in m³ or in bags. Enter the bed area and the layer depth.
Decorative Gravel Weight
Computes the amount of decorative stones (gravel, pebbles, chippings) to cover an area = area × layer thickness ÷ 100 × density, in kilograms. Used in gardens, paths and parking areas, the layer is usually 3 to 6 cm; the bulk density of the stone is around 1,400 to 1,600 kg/m³. Enter the area, the layer thickness in centimetres and the stone density.
Lawn Fertilizer Amount
Computes the amount of fertilizer for a lawn = area × dose per m² ÷ 1000, in kilograms. The dose (in g/m²) is on the fertilizer package and varies with the NPK formula and the time of year; applying it evenly, ideally before rain or watering afterwards, ensures absorption and avoids burning the grass. Enter the lawn area and the fertilizer dose per square metre.
Wood Deck Planks
Computes the number of planks for a wood deck = deck area ÷ each plank's area. Account for the gap between planks (3 to 8 mm for drainage and expansion) when estimating each piece's coverage area, and add a 10% margin for cuts and losses. Enter the deck area and the coverage area of each plank.
Moving Boxes Count
Estimates the number of boxes for a move = number of rooms × boxes per room. It is a practical planning rule: kitchens and bedrooms with many small items need more boxes than living rooms; an average of 10 to 15 boxes per room is estimated for a typical home. Have reinforced boxes for heavy items such as books. Enter the number of rooms and the average boxes per room.
Moving Volume
Estimates the volume of a move from the boxes = number of boxes × volume per box, in cubic metres. It is the starting point to choose the truck size or hire the freight; add separately the volume of large furniture (beds, sofas, fridge). An average box is about 0.1 m³. Enter the number of boxes and the average volume per box.
Moving Truck Trips
Computes the number of truck trips for a move = round up of (total volume ÷ truck capacity). It helps plan the freight and cost: a volume larger than the capacity requires more than one trip (or a bigger truck). Moving trucks range from about 8 m³ (small box) to over 40 m³. Enter the total volume of the move and the truck capacity.
Paper Sheet Weight
Computes the weight of a sheet of paper = grammage × area, in grams. The grammage (in g/m²) is the property that defines the paper: common bond paper is 75–90 g/m², cards 180–300 g/m². Knowing the sheet weight is useful to calculate freight, print-run weight and cost. Enter the paper grammage and the sheet area in square metres.
Paper Ream Weight
Computes the weight of a ream of paper = grammage × sheet area × number of sheets ÷ 1000, in kilograms. A standard ream has 500 sheets; the weight helps with transport, storage and order checking. For example, an A4 ream (0.0625 m²) of 75 g/m² weighs about 2.34 kg. Enter the grammage, the sheet area and the number of sheets in the ream.
Book Spine Thickness
Computes the spine thickness of a book = (number of pages ÷ 2) × sheet thickness, since each sheet has two pages (front and back). It is essential to design the cover: the spine must have the exact width of the book block for the text to be centred. The sheet thickness depends on the grammage and paper type. Enter the number of pages and the thickness of one sheet.
Pages Imposition Sheets
Computes the number of printing sheets in the imposition = round up of (number of pages ÷ pages per sheet). In book and magazine printing, several pages are grouped on each sheet (8, 16 or 32 per sheet) which, folded, forms a signature. Knowing how many sheets are needed helps quote paper and press time. Enter the number of pages and how many pages fit per sheet.
Bleed Dimension
Computes the dimension of a file with bleed = final dimension + 2 × bleed, adding the extra margin on each side. The bleed (usually 3 mm) is the area that extends beyond the final cut and prevents white slivers at the edges when the cut is slightly off. Any artwork with colour or image up to the edge needs bleed. Enter the final dimension and the bleed per side.
Layouts per Sheet
Computes how many layouts (pieces) fit on a sheet = (sheet width ÷ piece width, rounded down) × (sheet height ÷ piece height, rounded down), for the given orientation. It is the nesting calculation used for business cards, flyers and labels: the more layouts per sheet, the lower the unit cost. It is worth testing rotating the piece for better use. Enter the sheet and piece dimensions.
Total Area Coverage (TAC)
Computes the total area coverage (TAC) = sum of the cyan, magenta, yellow and black percentages. It is a critical limit in printing: papers and processes support a maximum TAC (offset usually limits to ~300%, newsprint to ~240%); exceeding it causes smudging, set-off and slow drying. Checking the TAC of the darkest areas avoids production problems. Enter the C, M, Y and K percentages.
Cost per Printed Page
Computes the ink cost per printed page = cartridge or toner price ÷ yield in pages. It is the basis to compare printers and cartridges: a cheap, low-yield cartridge can cost more per page than a pricier high-yield one. Add the paper cost for the total page cost. Enter the cartridge/toner price and the declared yield in pages.
Labels per Roll
Computes how many labels fit on a roll = roll length ÷ label pitch, where the pitch is the label height plus the gap between them. It is essential to quote label runs and program the thermal printer. Add a margin for the roll start and end, which are not used. Enter the roll length and the label pitch (height + gap).
Paper Roll Length
Estimates the length of paper on a roll = π × (D² − d²) ÷ (4 × thickness) ÷ 1000, in metres, computing the area of the roll's annular ring divided by the paper thickness. D is the outer diameter, d the core diameter and the thickness is that of the wound paper. It is useful to estimate how much paper remains on a roll without unwinding it. Enter the outer diameter, the core diameter and the paper thickness in millimetres.
Window Film Roll Area
Computes the area of a window-film roll = length × width. Films for car windows and panes come in rolls of standard width (1.52 m is common); knowing the total area helps quote how many jobs a roll covers and the cost per m². Account for losses from cuts and adjustments on curved glass. Enter the roll length and width.
Vehicle Wrap Cost
Computes the cost of a vinyl wrap = area to wrap × price per m². Adhesive wrapping covers cars, motorcycles and furniture with decorative or protective vinyl; the price per m² includes material and labour and varies with the vinyl type (matte, gloss, brushed). A passenger car usually requires 15 to 25 m². Enter the area to wrap and the price per m².
Banner Area
Computes the area of a banner or vinyl sign = width × height, in square metres. It is the basis of large-format printing quotes, since banners are charged per m². Use the area to estimate printing cost, the number of grommets and the size of the mounting structure. Enter the banner width and height.
Banner Grommets Count
Computes the number of grommets to fix a banner = perimeter ÷ spacing between grommets. Grommets are the metal rings through which ropes or ties pass; spacing them correctly (usually every 40 to 60 cm) distributes tension and prevents the banner from tearing in the wind. Ensure a grommet at each corner. Enter the banner perimeter and the desired spacing.
Cut Vinyl Area
Computes the total area of cut vinyl = width × height × number of pieces, considering the bounding rectangle of each piece. Cut vinyl is cut on a cutting plotter for letters, logos and stickers; the bounding-rectangle calculation estimates the raw material, since the vinyl between letters becomes waste. Add a margin for nesting. Enter the piece dimensions and the quantity.
Sublimation Ink Usage
Computes the sublimation ink usage = printed area × usage per m². Sublimation transfers ink to polyester fabrics, mugs and giveaways with heat-press; the usage per m² depends on the artwork coverage and the printer (typically 10 to 20 ml/m²). Estimating the usage helps with pricing and ink stock control. Enter the printed area and the ink usage per m².
DTF Powder Usage
Computes the usage of adhesive (hot melt) powder in the DTF process = printed area × powder grammage. In DTF (Direct to Film), the artwork is printed on the film and receives the powder which, when melted, bonds the print to the fabric; the grammage depends on the artwork coverage area (typically 20 to 40 g/m²). Estimating the usage helps with pricing and supply control. Enter the printed area and the powder grammage per m².
Print Area Cost
Computes the cost of a print by the area method = print area × price per m². It is a simple way to price printing services (DTF, sublimation, screen printing) from the artwork size; the price per m² includes ink, film/powder and labour. For items, add the cost of the shirt or giveaway. Enter the print area and the price per m².
Plotter Linear Meters
Computes the linear metres of media to plot an area = total area ÷ usable plotter width. Large-format printing (plotter) consumes the roll media by length, with the equipment's fixed width (1.07 m, 1.52 m, etc.); converting the area into linear metres allows quoting the material and the print, usually charged per linear metre. Enter the total area and the usable plotter width.
Paper Reams Count
Computes the number of paper reams = total sheets ÷ sheets per ream. It is the practical calculation to buy paper from the print run: dividing the total sheets needed by the number of sheets in each ream (usually 500) gives how many reams to purchase. Round up and add a margin for waste and proofs. Enter the total sheets and the number of sheets per ream.
CCTV Storage
Computes the storage needed for a CCTV system = bitrate × 10.8 × days × number of cameras, in gigabytes, given that 1 Mbps of continuous recording consumes about 10.8 GB per day. It is the essential calculation to size the DVR/NVR hard drive according to the number of cameras, the quality (bitrate) and the required retention days. Enter the bitrate per camera, the recording days and the number of cameras.
CCTV Hard Drives Count
Computes the number of hard drives for a CCTV system = total storage needed ÷ capacity of each drive. After estimating the recording volume, this calculation indicates how many disks to buy; round up and check the disk limit supported by the DVR/NVR. Surveillance-grade drives are recommended as they withstand continuous recording. Enter the total storage and the capacity of each drive.
CCTV Bandwidth
Computes the total bandwidth of an IP camera system = bitrate per camera × number of cameras. It is essential to size the network and, especially, the internet link for remote access: if the camera bandwidth exceeds the available upload, live viewing stalls. Also check the switch port capacity. Enter the bitrate per camera and the number of cameras.
CCTV Energy Consumption
Computes the monthly energy consumption of a CCTV system = (number of cameras × consumption per camera + DVR consumption) × 24 × 30 ÷ 1000, in kWh. Since the system runs 24 hours a day, the combined consumption of cameras and recorder affects the electricity bill and the UPS sizing. Enter the number of cameras, the consumption per camera and the DVR/NVR consumption.
Perimeter Cameras Count
Estimates the number of cameras to cover a perimeter = perimeter ÷ effective range of each camera. It is an initial design estimate; the useful range depends on the lens, resolution and desired level of detail (identifying a face requires more cameras than merely detecting movement). Plan for overlap and blind spots at corners. Enter the perimeter to cover and the effective range of each camera.
CCTV Recording Days
Computes how many days a CCTV system records before overwriting = storage capacity ÷ (bitrate × 10.8 × number of cameras). It is the inverse of sizing: from the drive you already have, it finds the image retention period. Reducing the bitrate or using motion detection increases the days. Enter the storage capacity, the bitrate per camera and the number of cameras.
DVR Channels Needed
Computes the number of DVR/NVR channels to buy = the next power of 2 greater than or equal to the number of cameras, since recorders are sold in 4, 8, 16 or 32-channel models. For example, 10 cameras require a 16-channel recorder. It is worth allowing extra channels for future expansion. Enter the number of cameras in the project.
UPS VA Rating
Computes the apparent power of a UPS = load power (W) ÷ power factor, in VA. UPS units are rated in VA, but equipment consumes in watts; the power factor (typically 0.6 in entry-level UPS) bridges the two. Sizing by VA avoids overloading the unit. Enter the total load power in watts and the UPS power factor.
UPS Runtime
Estimates the runtime of a UPS = battery energy (Wh) ÷ connected load (W) × 60, in minutes. It is an ideal estimate; in practice, conversion losses and battery ageing reduce the real time. For long runtimes, a UPS with an external battery bank is used. Enter the total battery energy in Wh and the connected load in watts.
Generator kVA Needed
Computes the diesel/petrol generator power = total power (W) ÷ power factor ÷ 1000 × safety factor, in kVA. It converts the load in watts to kVA and adds a margin (usually 20% to 30%) for motor starts and expansions. Loads with motors and air conditioning require larger factors due to the inrush current. Enter the total power, the power factor and the safety factor.
Rack BTU Load
Computes the thermal load of an equipment rack = dissipated power (W) × 3.412, in BTU/h, since virtually all the electrical energy consumed by servers and switches turns into heat. It is the basis to size the room or rack cooling: undersizing causes overheating and failures. Enter the total power dissipated by the rack equipment.
Rack Monthly kWh
Computes the monthly energy consumption of a rack = power (W) × 24 × 30 ÷ 1000, in kWh, assuming continuous operation. Servers, switches and storage running 24/7 represent a significant part of a datacenter's cost; the consumption also helps estimate the electricity bill and the heat to be removed. Enter the total rack power in watts.
PoE Budget Ports
Computes how many PoE ports a switch can power = total PoE budget ÷ consumption per port. The PoE budget is the maximum power the switch distributes across all ports; each device draws according to the standard (PoE 802.3af ≈ 15.4 W, PoE+ ≈ 30 W). If the sum exceeds the budget, ports stop delivering power. Enter the switch PoE budget and the consumption per port.
RAID 5 Usable Capacity
Computes the usable capacity of a RAID 5 array = (number of disks − 1) × capacity of each disk. In RAID 5, the equivalent of one disk is used for distributed parity, allowing one disk to fail without data loss; hence the usable capacity is the sum of all but one. Use disks of equal capacity. Enter the number of disks and the capacity of each disk.
Equipment Racks Count
Computes the number of racks to house the equipment = total equipment Us ÷ usable Us per rack. The rack unit (U = 44.45 mm) is the standard height of servers, switches and UPS; a closed rack typically has 42U. Leave room for cabling, ventilation and expansion, not occupying 100% of the rack. Enter the total equipment Us and the usable Us per rack.
Network Points per Cable Box
Estimates how many network points a cable box serves = box length ÷ average cable per point. UTP cable boxes hold 305 m (1000 ft); dividing by the average run length of each drop (from rack to outlet) estimates how many points the box covers. Remember each point cannot exceed 90 m (structured cabling standard). Enter the box length and the average cable per point.
Patch Cords Count
Computes the number of patch cords = number of network points × patch cords per point. In structured cabling, each point usually uses two patch cords: one in the work area (outlet to device) and one in the rack (patch panel to switch). Keep spares of various lengths. Enter the number of network points and the number of patch cords per point.
Effective Network Throughput
Estimates the effective throughput of a network = nominal speed × efficiency ÷ 100. The real transfer speed is below the nominal one due to protocol overhead, retransmissions, latency and equipment limitations; in local networks the efficiency is usually between 60% and 90%. Enter the link's nominal speed and the estimated efficiency.
Wi-Fi Access Points Count
Estimates the number of Wi-Fi access points to cover an area = total area ÷ coverage per AP. Each AP's coverage depends on the frequency (5 GHz reaches less than 2.4 GHz), the walls and the user density; environments with many devices require more APs than the area alone suggests. Plan overlap for roaming. Enter the area to cover and the estimated coverage per AP.
Switches Count
Computes the number of switches needed = round up of (number of devices ÷ usable ports per switch). Consider as "usable ports" a number lower than the total, reserving ports for uplink, expansion and management equipment. 24 or 48-port switches are the most common. Enter the number of devices to connect and the usable ports per switch.
PV String Max Panels
Computes the maximum number of panels in series (string) = inverter maximum input voltage ÷ panel Voc, rounded down. The sum of the open-circuit voltages (Voc) of series panels must not exceed the inverter's maximum voltage, at the risk of damage; on cold days the Voc rises, so leave a margin. Enter the inverter maximum input voltage and the Voc of one panel.
PV String Voltage
Computes the open-circuit voltage of a string = number of series panels × Voc of each panel. It is the voltage reaching the inverter with the panels unloaded; it must stay within the inverter's voltage range (above the start-up minimum and below the maximum). Remember that cold increases the Voc. Enter the number of series panels and the Voc of each panel.
PV String Current
Computes the total short-circuit current = number of parallel strings × Isc of each panel. Parallel panels add current; this value defines the cable gauge, the string fuse rating and the inverter MPPT input limit. Apply a safety factor (1.25) when sizing the protection. Enter the number of parallel strings and the panel Isc.
PV System Power
Computes the peak power of a photovoltaic system = number of panels × power of each panel ÷ 1000, in kWp. It is the main size measure of a solar plant, used to estimate generation, size the inverter and classify the system under micro/mini-generation rules. Enter the number of panels and the power of each panel in watt-peak.
PV Monthly Generation
Estimates the monthly energy generation of a solar system = power (kWp) × peak sun hours × performance ratio × 30 days, in kWh. The peak sun hours (PSH) vary with region and month; the performance ratio (typically 0.75 to 0.85) embeds losses from temperature, dirt, cables and inverter. Enter the system power, the local PSH and the performance ratio.
PV String Voltage Drop
Computes the voltage drop in the DC cable of a string = 2 × length × current × copper resistivity (0.0172 Ω·mm²/m) ÷ cross-section. The factor 2 accounts for the outgoing and returning conductors. The drop should stay below ~1% to 3% of the string voltage to avoid losing generation; longer cables or higher currents require a larger cross-section. Enter the cable length, the current and the conductor cross-section.
PV Array Weight
Computes the total weight of a rooftop solar installation = number of panels × (weight of each panel + structure weight per panel). It is essential to verify that the roof and structure support the added load, especially on old or fibre-cement roofs. The weight helps size the fixings and distribute the load. Enter the number of panels, the weight of each panel and the structure weight per panel.
PV Strings Count
Computes the number of strings of a photovoltaic system = total panels ÷ panels per string. It defines how the panels are grouped in series and how many inverter inputs (MPPTs) will be used; each MPPT supports a limited number of strings. Distributing the strings evenly across the MPPTs improves performance. Enter the total panels and how many panels are in each string.
PV Tilt Angle
Estimates the ideal tilt of solar panels ≈ the absolute value of the local latitude (with a minimum of about 10° for self-cleaning by rain). Tilting the panels near the latitude angle maximises the average annual generation; seasonal adjustments (add ~15° in winter, subtract in summer) optimise specific periods. Enter the local latitude in degrees.
PV Monthly Savings
Computes the monthly savings provided by a solar system = generated energy (kWh) × energy tariff. It is the amount deducted from the electricity bill by the energy the system injects or consumes locally; remember there is always an availability cost (minimum charge) and taxes. Enter the estimated monthly generation and the energy tariff per kWh.
PV Payback Years
Computes the payback time of a solar system = system cost ÷ (monthly savings × 12), in years. It is the simple time for the investment to pay off through the bill savings; systems often have a 3 to 6-year payback, with a service life above 25 years. The simple calculation ignores tariff increases and panel degradation. Enter the system cost and the monthly savings.
Inverter Sizing Factor
Computes the inverter sizing factor (ISF) = panel power ÷ inverter power × 100. It is common to oversize the panels relative to the inverter (ISF of 110% to 130%), since panels rarely reach peak power, which improves inverter utilisation. A very high ISF, however, causes generation clipping at peak times. Enter the panel power and the inverter power.
Contracted Demand
Estimates the contracted demand = installed power × demand factor, in kW. Group A consumers (medium/high voltage) contract a demand with the utility; since not all equipment operates simultaneously, the demand factor (less than 1) reduces the installed power to the expected real demand. Contracting the right demand avoids overshoot penalties and idle cost. Enter the installed power and the demand factor.
Electrical Load Factor
Computes the load factor = average demand ÷ maximum demand in the period. It indicates how uniform the energy use is: a load factor near 1 means constant, efficient consumption, while low values indicate demand peaks that raise the bill (in group A, peak demand is billed). Improving the load factor reduces costs. Enter the average demand and the maximum demand.
Tariff Flag Surcharge
Computes the surcharge added by the tariff flag = consumption (kWh) ÷ 100 × flag surcharge (in currency per 100 kWh). The flags (green, yellow, red 1 and 2) signal the generation cost: under red flags, a surcharge per 100 kWh consumed is added to the bill. Knowing the impact helps save in high-flag months. Enter the monthly consumption and the current flag surcharge.
Annual Energy Cost
Computes the annual cost of electricity = monthly consumption (kWh) × tariff × 12. It projects the yearly energy expense from the average monthly consumption, useful for household or business budgeting and to assess the return of efficiency measures or a solar system. The tariff should include taxes to reflect the real bill value. Enter the monthly consumption and the tariff per kWh.
Lamp Monthly Cost
Computes the monthly cost of a lamp = power (W) × hours per day × 30 × tariff ÷ 1000. It shows how much keeping a lamp on weighs on the bill, highlighting the savings of replacing incandescent (60 W) or fluorescent lamps with LED (≈ 9 W) at the same brightness. Multiply by the number of identical lamps for the total. Enter the power, the hours of use per day and the tariff per kWh.
Solar CO₂ Avoided
Estimates the CO₂ avoided by a solar system = annual generation (kWh) × grid emission factor (kg CO₂/kWh). It represents the emissions that no longer occur by replacing grid energy with clean solar; the emission factor varies with the electricity mix (the Brazilian one, predominantly hydropower, has a low factor). It is an increasingly used environmental indicator in sustainability reports. Enter the annual generation and the grid emission factor.
Microinverters Count
Computes the number of microinverters = number of panels ÷ panels per microinverter. Unlike the central (string) inverter, microinverters sit at each panel or pair of panels, optimising individual generation and tolerating partial shading better. Each model supports 1, 2 or 4 panels. Enter the number of panels and how many panels each microinverter supports.
Inverter Output Current
Computes the output current of a single-phase inverter = power ÷ output voltage, in amperes. This value defines the protection breaker and the AC cable gauge connecting the inverter to the panel; size the breaker just above the current, with a safety factor. For three-phase systems, divide further by √3 and the line voltage. Enter the inverter power and the output voltage.
Wine Chaptalization
Computes the sugar to chaptalize a must = volume × desired alcohol increase × 17, based on the rule that about 17 g of sugar per litre raise the alcohol content by 1% (ABV) after fermentation. Chaptalization corrects under-ripe musts to reach the desired alcohol level, a regulated practice in winemaking. Add gradually, dissolving well. Enter the must volume and the desired alcohol increase.
Potential Alcohol from Brix
Estimates the potential alcohol of a must = Brix × 0.55, i.e. the alcohol content (% ABV) the wine would reach if all the sugar fermented. The conversion factor is between 0.55 and 0.59 depending on the yeast efficiency. Measuring the Brix with a refractometer before fermentation allows predicting the final alcohol and deciding on chaptalization. Enter the must Brix.
Wine SO₂ Addition
Computes the amount of potassium metabisulfite to sulfite the wine = volume × desired SO₂ (mg/L) ÷ 570, considering that metabisulfite releases about 57% of its weight in SO₂. Sulfur dioxide protects the wine from oxidation and microorganisms; dose according to the pH and stage (must, fermentation, bottling). Enter the wine volume and the SO₂ to add in mg/L.
Total Acidity by Titration
Computes the total acidity of a wine or must by titration = (NaOH volume × normality × 75) ÷ sample volume, expressed in grams of tartaric acid per litre (equivalent weight 75). Total acidity influences flavour, stability and the sensation of freshness; wines are usually between 5 and 8 g/L. Titrate the sample with NaOH to the endpoint. Enter the NaOH used, its normality and the sample volume.
Must Acidity Correction
Computes the tartaric acid to correct the acidity of a must = volume × (desired acidity − current acidity), in grams, since adding 1 g/L of tartaric acid raises the acidity by ~1 g/L. Musts from warm regions often have low acidity, harming the wine's balance and conservation; the correction adjusts to the ideal range. Enter the must volume, the desired acidity and the current acidity.
Grape to Wine Yield
Estimates the volume of wine obtained from a quantity of grapes = grape weight × yield factor (in litres per kilogram). The typical yield is around 0.65 to 0.75 L/kg for reds (with maceration) and can be higher for pressed whites; it depends on the variety, pressing and lees losses. Enter the grape weight and the estimated yield factor.
Yeast Pitching Rate
Computes the amount of dry yeast to inoculate a must = volume × dose per litre. The recommended dose (usually 0.2 to 0.3 g/L for wines) ensures a sufficient initial population for a fast, clean fermentation, avoiding contamination. Rehydrate the yeast per the manufacturer's instructions before adding. Enter the must volume and the yeast dose per litre.
Apparent Attenuation
Computes the apparent attenuation of a fermentation = (OG − FG) ÷ (OG − 1) × 100, where OG is the original gravity and FG the final. It indicates what percentage of fermentable sugars was consumed by the yeast: attenuations of 70% to 85% are common in beers, and higher in wines and meads. Low attenuation may indicate a stuck fermentation. Enter the original gravity (OG) and the final gravity (FG).
Carbonation Sugar
Computes the priming (carbonation) sugar = volume × (desired CO₂ volumes − residual) × 4, considering that ~4 g of sugar per litre generate 1 volume of CO₂ in bottle refermentation. Used in beers and sparkling wines (méthode champenoise), priming defines the final effervescence; excess CO₂ can burst the bottle. Enter the volume, the desired CO₂ volumes and the residual ones.
Mead Honey Needed
Computes the amount of honey to make mead = final volume × honey per litre ÷ 1000, in kilograms. The honey proportion defines the original gravity and therefore the alcohol content and sweetness: dry meads use ~250 g/L, and sweet or dessert ones much more. Dissolve the honey in warm water (without boiling, to preserve aromas). Enter the desired final volume and the amount of honey per litre.
Distillation Heads Cut
Computes the volume of the "heads" fraction to discard in distillation = fermented volume × heads percentage ÷ 100. The heads, the first fraction out of the still, concentrate methanol and undesirable volatile compounds and must be separated from the "hearts" (the noble part). The percentage varies with the equipment and the spirit (generally 5% to 10%). Enter the fermented volume and the heads percentage to discard.
Spirit Dilution
Computes the water to add to reduce a spirit's strength = volume × (current strength ÷ desired − 1), applying alcohol conservation (C₁V₁ = C₂V₂). After distillation, the alcohol comes out strong (cachaças come out at ~60–70% ABV) and is diluted to the drinking strength (generally 38–48% ABV). Add water gradually and let the drink rest. Enter the spirit volume, the current strength and the desired one.
Kombucha Sugar
Computes the sugar to prepare kombucha = tea volume × sugar per litre. Sugar feeds the SCOBY (culture of bacteria and yeast) during fermentation; the typical proportion is 50 to 80 g/L. Much is consumed in fermentation, resulting in a slightly acidic, lightly sweet drink. Use sweetened black or green tea and common sugar. Enter the tea volume and the sugar per litre.
Kombucha Starter Tea
Computes the volume of starter tea (finished kombucha from a previous batch) for a new fermentation = volume × percentage ÷ 100. The starter tea acidifies the medium and protects against contamination at the start of fermentation; 10% to 20% of the volume is recommended. Always use unpasteurised, well-acidified kombucha. Enter the total tea volume and the starter tea percentage.
Vinegar Potential Acidity
Estimates the potential acidity of a vinegar = alcohol content of the wine (or fermented liquid) × 0.9, since acetification converts ethanol into acetic acid with a yield close to 90% in practice. It indicates the strength (% acidity) the vinegar can reach; commercial vinegars have about 4% to 6% acidity. Use a vinegar "mother" and good aeration. Enter the alcohol content of the liquid to acetify.
Mash Water Ratio
Computes the mash water in brewing = malt weight × water-to-grist ratio (in litres per kilogram). The ratio influences efficiency and body of the beer: thicker mashes (2.5 L/kg) favour certain enzymes, thinner ones (3.5 L/kg) ease conversion. Do not forget to add the sparge water separately. Enter the malt weight and the desired water-to-grist ratio.
Wort Gravity Points
Computes the gravity points of a wort = (gravity − 1) × 1000. It is a compact way to express the gravity (e.g. 1.050 = 50 points), widely used by brewers to calculate mash efficiency, dilutions and corrections. Multiplying the points by the volume gives the "point-litres", useful to adjust the wort. Enter the measured gravity (OG) of the wort.
Boil Evaporation Loss
Computes the wort loss by evaporation during the boil = pre-boil volume × evaporation rate (%/h) × boil time. The boil concentrates the wort and evaporates water (typical rate of 8% to 12% per hour depending on the kettle and intensity); anticipating the loss helps hit the final volume and gravity. Enter the pre-boil volume, the evaporation rate and the boil time.
Estimated Final Gravity
Estimates the final gravity (FG) of a fermentation = OG − (OG − 1) × attenuation ÷ 100, from the original gravity and the expected apparent attenuation of the yeast. It allows predicting the final alcohol and residual sweetness before even fermenting; each yeast strain has a typical attenuation stated by the manufacturer. Enter the original gravity (OG) and the expected attenuation.
Mash Strike Water Temperature
Computes the strike water temperature in brewing = (0.41 ÷ water-to-grist ratio) × (mash temperature − malt temperature) + mash temperature. Since the cold malt absorbs heat, the water must go in hotter for the mix to settle at the target mash temperature. The factor 0.41 relates the specific heats of malt and water. Enter the water-to-grist ratio, the desired mash temperature and the malt temperature.
Gold Karat to Purity
Converts gold karat into percentage purity = karats ÷ 24 × 100. The karat (K) measures the proportion of pure gold in an alloy: 24K is pure gold (100%), 18K equals 75% and 14K ~58.3%. Knowing the purity is essential to appraise jewellery, calculate the fine gold content and price it. Enter the number of karats of the piece.
Gold Purity to Karat
Converts the percentage purity of gold into karats = purity ÷ 100 × 24, the inverse of the karat-purity relationship. Useful when a report or hallmark gives the content in thousandths or percentage and you want it in karats: 75% = 18K, 58.3% = 14K, 41.6% = 10K. Enter the gold purity as a percentage.
Alloy to Lower Karat
Computes the amount of alloy (metal) to add to lower the gold karat = gold weight × (current karat ÷ desired karat − 1). To turn higher-purity gold into a lower-karat alloy, the goldsmith adds metals (copper, silver, zinc); the calculation gives how much alloy to add while keeping the pure gold mass. Enter the gold weight, the current karat and the desired one.
Pure Gold in a Piece
Computes the mass of pure (fine) gold contained in a piece = piece weight × karat ÷ 24. A 10 g 18K piece contains 7.5 g of pure gold; the rest is alloy. It is the basis to assess the piece's intrinsic value and for buying and selling gold by content. Enter the piece weight and the gold karat.
Gold Value in a Piece
Computes the value of the gold contained in a piece = piece weight × (karat ÷ 24) × price per gram of pure gold. It estimates the intrinsic metal value (scrap) based on the current fine-gold quote, without considering labour, stones or the jewellery's resale value. Enter the piece weight, the karat and the price per gram of pure gold.
Gemstone mm to Carat
Estimates the carat weight of a round-cut diamond = diameter² × depth × 0.0061. The formula approximates the weight from the physical dimensions, useful when the stone cannot be weighed (already set, for example). The factor embeds the diamond's density and geometry; other gems use different factors. One carat equals 0.2 g. Enter the stone's diameter and depth in millimetres.
Silver Fineness to Percent
Converts the fineness (millesimal content) of silver into percentage = millesimal ÷ 10. Silver alloys are marked in thousandths: 925 (sterling) silver has 92.5% pure silver, 950 has 95% and 800 has 80%. The remainder is copper, which hardens the alloy. Enter the millesimal content marked on the piece.
Pure Silver in a Piece
Computes the mass of pure silver contained in a piece = piece weight × millesimal content ÷ 1000. A 20 g 925 silver piece contains 18.5 g of pure silver; the rest is alloy (copper). It is the basis to assess the metal value and for silver casting and recovery. Enter the piece weight and the millesimal content.
Metal Casting Volume
Computes the volume occupied by a mass of metal = weight ÷ density, in cm³. Useful in goldsmithing and casting to size moulds and crucibles: 24K gold has a density of ~19.3 g/cm³, silver ~10.5, copper ~8.96. Knowing the volume helps plan the casting and the metal use. Enter the metal weight and its density.
Mold Metal Weight
Computes the mass of metal needed to fill a mould = mould volume × metal density. It is the inverse of the volume calculation: from the cavity volume (obtained, for example, by weighing the wax or water that fills it), it finds how much metal to cast. Add a margin for the sprue and losses. Enter the mould volume and the metal density.
Casting Metal Loss
Estimates the metal loss in casting = initial weight × loss percentage ÷ 100. Each casting loses some metal to oxidation, splashes and crucible residue (typically 1% to 5% depending on the process and recovery). Estimating the loss helps price the service and control the precious-metal stock. Enter the initial weight and the expected loss percentage.
Silver Value in a Piece
Computes the value of the silver contained in a piece = piece weight × (millesimal content ÷ 1000) × price per gram of silver. It estimates the intrinsic metal value from the weight, fineness and silver quote, a basis for buying scrap; it excludes labour and resale value. Enter the piece weight, the millesimal content and the price per gram of silver.
Recommended Boat Motor HP
Estimates the recommended motor power for a boat = total weight ÷ kilos per HP. As a rule of thumb, planing boats need about 1 HP for every 10 to 25 kg of total weight (with load and crew); displacement boats need less. It is an initial estimate — always check the boat's capacity plate. Enter the boat's total weight and the kg-per-HP ratio.
Boat Fuel Autonomy
Computes the autonomy in hours of a boat = tank capacity ÷ consumption per hour. It indicates how long the vessel navigates on a full tank; for safety, use only two thirds of the fuel (one third to go, one to return, one in reserve). Consumption varies greatly with speed and sea state. Enter the tank capacity and the consumption per hour.
Anchor Rode Length
Computes the length of rode (chain/line) to pay out when anchoring = water depth × scope factor. The recommended ratio is between 5:1 and 7:1 (more in bad weather): the larger it is, the better the anchor holds, since the pull angle becomes more horizontal. Also consider the bow height and the tide. Enter the water depth and the desired scope factor.
Average Crossing Speed
Computes the average speed of a crossing = distance (nautical miles) ÷ time (hours), in knots (1 knot = 1 nautical mile per hour). It is the effective speed considering the whole route, useful to plan arrival times and estimate consumption. The real speed is affected by currents, wind and sea state. Enter the distance in nautical miles and the time in hours.
Hull Paint Amount
Computes the paint needed to coat a boat hull = wetted area × number of coats ÷ paint coverage. Antifouling paint protects the hull against barnacles and algae and usually requires two coats; the coverage is on the can. Add a margin for touch-ups at the waterline. Enter the wetted hull area, the number of coats and the paint coverage.
Fuel per Nautical Mile
Computes the fuel consumption per nautical mile = consumption per hour ÷ speed in knots (since 1 knot = 1 nautical mile per hour). It is the most useful measure to plan a trip, since it relates the spend to distance rather than time; there is an economical cruising speed that minimises this consumption. Enter the consumption per hour and the speed in knots.
Recommended Anchor Weight
Estimates the recommended anchor weight for a boat = vessel length × kilos per metre. A rule of thumb uses about 1 to 2 kg of anchor per metre of boat, varying with the anchor type, the seabed and wind exposure. Always keep a spare anchor of adequate size. Enter the boat length and the kg-per-metre ratio.
Drinking Water Aboard
Computes the drinking water needed for a boat trip = number of people × days × litres per person per day. At least 3 to 4 litres per person per day are recommended for drinking and cooking, plus a reserve for emergencies and heat; on long crossings, water for hygiene is also considered. Enter the number of people, the trip days and the litres per person per day.
Watch vph to Hz
Converts the alternations per hour (vph or bph) of a mechanical watch into frequency (Hz) = vph ÷ 7200, since each Hz corresponds to two alternations per second (7200 per hour). Common frequencies are 18,000 vph (2.5 Hz), 21,600 (3 Hz) and 28,800 (4 Hz); higher frequency tends to higher precision. Enter the movement's alternations per hour.
Watch Hz to vph
Converts the frequency (Hz) of a mechanical watch into alternations per hour (vph) = Hz × 7200, the inverse of the vph→Hz conversion. Useful to identify a movement's beat rate when only the frequency in hertz is known: 4 Hz equals 28,800 vph, the standard of modern watches. Enter the frequency in hertz.
Watch Power Reserve in Days
Converts a watch's power reserve into days = hours ÷ 24. The power reserve is the time the watch keeps running after a full wind without being worn; modern watches range from 38–48 hours to several days. Knowing it in days helps plan a collection's rotation (which to rewind). Enter the power reserve in hours.
Watch Case to Wrist Ratio
Computes the ratio between the watch case and the wrist circumference = case diameter ÷ wrist width × 100. It is an aesthetic guide to choose the ideal size: ratios around 20% to 25% tend to look balanced. Thin wrists call for smaller cases; wide wrists accommodate larger ones. Enter the case diameter and the wrist circumference (or width) in millimetres.
Watch Monthly Deviation
Computes a watch's monthly deviation = deviation per day × 30, in seconds per month. The precision of mechanical watches is measured in seconds per day (COSC chronometers are between −4 and +6 s/day); projecting the deviation to the month helps understand how much it will need correcting. Enter the daily deviation in seconds (positive if fast, negative if slow).
Fishing Knot Strength
Computes the effective strength of the fishing line at the knot = line strength × knot efficiency ÷ 100. Every knot weakens the line; good knots (such as the Palomar or blood knot) preserve 80% to 95% of the strength, while poorly tied knots can drop below 50%. Knowing the loss avoids break-offs on the strike. Enter the line's nominal strength and the efficiency of the knot used.
Fishing Drag Setting
Computes the recommended drag (friction) setting for the reel = line strength × recommended percentage ÷ 100. The rule of thumb uses 25% to 33% of the line strength as drag, leaving margin for traction peaks during the fight without breaking the line. Set it with a scale for precision. Enter the line strength and the desired drag percentage.
Fishing Sinker Weight
Estimates the sinker weight for bottom fishing = depth × weight per metre. The deeper and stronger the current, the heavier the sinker must be to reach and stay on the bottom; the per-metre factor increases with the current. It is an initial estimate — adjust on site according to the bait drift. Enter the depth and the estimated weight per metre for the condition.
Reel Line per Turn
Computes the line recovery per crank turn = π × spool diameter (with line), in centimetres, assuming a 1:1 recovery ratio. Reels state the recovery per turn also considering the gear ratio; with a full spool, each turn retrieves its perimeter. It is useful to compare equipment and estimate the retrieve speed. Enter the full spool diameter.
Horse Weight by Girth
Estimates a horse's weight = heart girth² × body length ÷ 11900, a classic tape-measure formula used when no scale is available. The heart girth is measured just behind the withers and the length from the point of the shoulder to the point of the buttock, in centimetres. It is essential to dose medication and feed correctly. Enter the heart girth and the body length.
Horse Daily Feed
Computes the daily feed intake of a horse = live weight × percentage of live weight ÷ 100. Horses consume about 1.5% to 3% of their live weight in dry matter per day (between forage and concentrate), depending on category and work. Splitting the total into several meals respects the horse's small stomach. Enter the live weight and the intake as a percentage of weight.
Horse Daily Water
Estimates the daily water intake of a horse = live weight × litres per 100 kg ÷ 100. Under normal conditions, a horse drinks about 5 litres per 100 kg of weight per day; consumption rises greatly with heat, intense work and a dry diet (hay). Clean water available at will is essential for health. Enter the live weight and the litres per 100 kg estimated for the condition.
Bee Feeding Syrup
Computes the sugar to prepare bee feeding syrup = water volume × sugar:water ratio (in kg per litre). The 2:1 syrup (thicker) is used in autumn for winter stores, and the 1:1 in spring to stimulate laying. Use refined white sugar, without honey of unknown origin (disease risk). Enter the water volume and the sugar:water ratio.
Apiary Honey Production
Estimates the annual honey production of an apiary = number of hives × average production per hive. The yield per hive varies greatly with the region, flowering, bee species and management (from 15 to 40+ kg/year in good conditions). It is the basis to plan the harvest, sales and the apiary's return. Enter the number of hives and the average production per hive per year.
Honey Super Frames
Estimates the amount of honey in a super = number of frames × honey per frame. Each full, capped super frame contains on average 1.2 to 2 kg of honey, depending on the size (Langstroth, brood). Estimating before extracting helps size buckets, settling tanks and the centrifuging time. Enter the number of frames and the average honey per frame.
Coffee Cups per Pack
Computes how many cups a pack of coffee yields = pack weight ÷ dose per cup. The typical dose is around 7 to 12 g per cup depending on the desired intensity and method; knowing the yield helps compare value between brands and plan stock. Enter the pack weight and the coffee dose per cup.
Daily Caffeine Limit by Weight
Estimates the safe daily caffeine limit = body weight × 5.7 mg/kg, a reference for healthy adults according to health authorities (not exceeding ~400 mg/day for most people). Above that, insomnia, tachycardia and anxiety may arise; pregnant women and cardiac patients should consume much less. A cup of coffee has ~80–120 mg. Enter the body weight.
Coffee Cost per Cup
Computes the coffee cost per cup = pack price × dose per cup ÷ pack weight. It considers only the ground coffee; in a café, add milk, cup, energy and labour for the total cost. It is useful to price and compare brands by the real cost per cup, not just by the pack price. Enter the pack price and weight and the dose per cup.
Font Size by Reading Distance
Estimates the minimum letter height for good legibility = reading distance × height per metre, in millimetres. The rule of thumb uses about 5 mm of character height for each metre of distance (more for quick reading or low contrast). It is essential in signage, storefronts, banners and presentations. Enter the reading distance and the desired height-per-metre ratio.
Typographic Points to mm
Converts a size in typographic points (pt) to millimetres = points × 0.3528, since one PostScript/DTP point equals 1/72 inch (≈ 0.3528 mm). Useful to relate the font size used in software with the physical height in print or in signage projects. Enter the size in points.
Fat-Corrected Milk
Computes fat-corrected milk to 3.5% fat (FCM) = production × (0.432 + 0.1626 × fat %). The correction allows comparing cows and herds on a standard fat basis, since volume and content vary between animals and diets. It is widely used in milk recording and genetic selection. Enter the daily milk production and the fat content.
Lactation Persistency
Computes lactation persistency = current production ÷ peak production × 100. It indicates how well the cow maintains production after the lactation peak (around 6 to 8 weeks post-calving); high persistency means a flatter lactation curve and higher total yield. It is an indicator of herd efficiency and health. Enter the current production and the peak production.
Calving Interval
Computes the calving interval = gestation period + service period (from calving to new conception). Bovine gestation lasts ~283 days; adding the target service period (ideally 80 to 90 days) gives the calving interval. The ideal is one calf per cow every ~12 months (365 days); a longer interval reduces lifetime production and the number of calves. Enter the gestation and the desired service period.
Reproductive Efficiency
Computes the herd reproductive efficiency = 365 ÷ calving interval × 100. It compares actual performance with the ideal of one calf per year: 100% means a 365-day interval. Efficiencies below 90% indicate reproductive or management problems that delay conception and reduce herd productivity. Enter the average calving interval in days.
Final Plant Population
Computes the final plant population per hectare = seeds per metre × germination ÷ 100 ÷ row spacing × 10,000. It accounts for the germination rate to estimate how many plants actually establish, a decisive parameter in the yield of crops like maize and soybean. Adjust the seeding rate to reach the target population. Enter seeds per metre, germination and row spacing.
Grain Harvest Loss
Computes the grain harvest loss = grains on the ground per m² × thousand-grain weight ÷ 100, in kg/ha. By counting the dropped grains within a known-area frame behind the combine, the loss per hectare and the financial damage are estimated. Losses above 1 to 2 bags/ha justify adjusting the machine. Enter the grain count per m² and the crop's thousand-grain weight.
Fertilizer Spreader Rate
Computes the actual application rate of a fertilizer spreader = collected fertilizer × 10,000 ÷ (working width × distance travelled), in kg/ha. By collecting the fertilizer spread over a known distance and swath, you check whether the setting delivers the desired dose before applying to the whole field. Enter the collected fertilizer, the working width and the distance travelled in the test.
Actual Application Rate
Computes the actual application rate of a sprayer = volume applied ÷ area covered, in L/ha. By comparing the volume actually used with the area covered, you verify whether the calibration matches the target rate; differences indicate errors in speed, pressure or nozzles. It is the practical check after calibrating. Enter the spray volume applied and the area effectively worked.
Drone Flight Time
Estimates a drone's flight time = (capacity mAh × voltage ÷ 1000 ÷ average power) × 60 × 0.8, in minutes. It converts the battery energy (Wh) by the average consumption power, applying 80% usable capacity to preserve the LiPo cells. The real consumption varies with wind, payload and flight style. Enter the battery capacity, the voltage and the average consumption power.
Drone Coverage Area
Estimates the area covered by a drone in one flight = swath width × speed × time × 60 ÷ 10,000, in hectares. Useful to plan mapping and aerial spraying: the swath width depends on the altitude and the overlap between passes. Account for overlap (20% to 30%) by reducing the effective width. Enter the swath width, the speed and the flight time.
Drone GSD
Computes the GSD (Ground Sample Distance) of a mapping flight = flight altitude × sensor width × 100 ÷ (focal length × image width in pixels), in cm/pixel. The GSD is the real size of each pixel on the ground: the smaller, the more detailed the orthophoto. Flying lower or using a larger lens reduces the GSD. Enter the flight altitude, the sensor width, the focal length and the image width.
Water Hardness ppm to dKH
Converts water hardness from ppm (mg/L of CaCO₃) to German degrees (dKH) = ppm ÷ 17.86. Hardness scales (KH/GH) appear in ppm or German degrees depending on the test or country; converting between them is essential in aquarium keeping to adjust the water to the desired fish or plant. Enter the hardness in ppm of CaCO₃.
Aquarium CO₂ from pH/KH
Estimates the dissolved CO₂ in a planted aquarium = 3 × KH × 10^(7 − pH), in mg/L, the classic relationship between pH, alkalinity (KH) and CO₂. The ideal range for planted tanks is around 20 to 30 mg/L; excess CO₂ suffocates the fish. The estimate assumes only the carbonate system affects the pH. Enter the KH (in dKH) and the water pH.
Aquarium Fill Time
Computes the time to fill an aquarium = volume ÷ flow rate, in minutes. Useful to schedule fills and water changes without overflowing or leaving the tap open too long; it also helps estimate the operating time of transfer pumps. Enter the aquarium volume (or the change) and the fill flow rate.
3D Print Material Cost
Computes the filament cost of a 3D-printed part = part weight ÷ 1000 × filament price per kg. It considers only the material; for the total cost, add energy, machine wear, failures and labour. It is the basis to price prints and compare filaments. The part weight is given by the slicer. Enter the part weight and the filament price per kilogram.
Coolant Mix
Computes the volume of additive for the cooling system = system capacity × proportion ÷ 100. Most manufacturers recommend a 30% to 50% mix of additive (ethylene glycol) with demineralised water, depending on the climate; the proportion defines protection against boiling, freezing and corrosion. The rest is topped up with water. Enter the system capacity and the additive proportion.
Silage Silo Capacity
Computes the capacity of a silage silo = volume × silage density, in kg. The density of well-compacted silage is around 500 to 700 kg/m³; good compaction increases storage and reduces losses from undesirable fermentation. Knowing the capacity helps size the silo for the herd and period. Enter the silo volume and the silage density.
Urea Protein Equivalent
Computes the crude protein equivalent provided by urea in the feed = % urea × 2.81, since urea has about 281% crude protein equivalent (non-protein nitrogen). It is used as an N source for ruminants; its use requires adaptation and a limit (no more than ~1% of the diet or 3% of the concentrate) to avoid poisoning. Enter the urea percentage in the feed.
Seedlings per Bed
Estimates how many seedlings fit in a bed = length × width ÷ (spacing between seedlings)², assuming a square grid planting. It is useful in vegetable gardens and landscaping to buy the right amount of seedlings and plan the layout. For triangular (quincunx) planting, ~15% more seedlings fit in the same area. Enter the bed length and width and the spacing between seedlings.
Drone Spraying Time
Estimates the time to spray an area with an agricultural drone = area ÷ operational capacity (ha/h). The operational capacity already discounts battery-recharge and spray-refill time, the drone's main limiters; it varies with the flow rate, speed and logistics. Useful to quote services and plan the application window. Enter the area to spray and the drone's operational capacity.
Cake Pan Conversion
Computes the factor to adapt a cake recipe to another round pan = (new diameter ÷ original diameter)², since the amount of batter is proportional to the pan area. Multiply all ingredients by this factor when changing pans; also adjust the oven time. For example, from a 20 cm pan to a 25 cm one, multiply by 1.56. Enter the new pan diameter and the original one.
Ganache Ratio
Computes the amount of chocolate for a ganache = cream × chocolate:cream ratio. The ratio defines the consistency: 1:1 yields a soft ganache (filling/coating), 2:1 a firm one (truffles, piping) and 3:1 very firm. Milk and white chocolate, having less cocoa, require more chocolate than dark. Enter the amount of cream and the desired ratio.
Fermentation Time by Temperature
Estimates the fermentation time of a dough when changing temperature = reference time × Q10^((reference T − actual T) ÷ 10). The Q10 rule (typically 2) describes how yeast activity doubles every 10 °C: fermenting colder takes longer, warmer speeds up. Useful to plan long cold fermentations in the fridge. Enter the time at the reference temperature, the two temperatures and the Q10.
Pizza Dough Balls
Computes how many pizza dough balls a recipe yields = total dough ÷ weight per ball. The ball weight defines the pizza size: ~250 g for a medium individual pizza, ~280–320 g for a Neapolitan. Knowing the yield helps portion the dough after the bulk fermentation. Enter the recipe's total dough and the desired weight per ball.
Recipe Cost per Serving
Computes the cost per serving of a recipe = total ingredient cost ÷ number of servings. It is the basis of the recipe cost sheet in kitchens and bakeries: from the cost per serving, the markup is applied to set the selling price. It considers only ingredients; add packaging, energy and labour for the full cost. Enter the total ingredient cost and the number of servings the recipe yields.
Bread Dough Water Temperature
Computes the water temperature to reach the desired final dough temperature = 3 × desired T − flour T − room T − friction factor. The final dough temperature controls the fermentation pace and bread quality; the friction factor (heating from the mixer) is usually 2 to 8 °C. On hot days, use cold water or ice. Enter the desired temperature, the flour temperature, the room temperature and the friction factor.
Dry to Fresh Yeast Conversion
Converts active dry yeast into fresh (compressed) yeast = dry yeast × 3, since dry yeast is about three times more concentrated. Many recipes call for one type while you have the other; the 1:3 rule of thumb keeps the leavening power. Instant (dry) yeast also skips prior hydration, unlike fresh. Enter the amount of dry yeast in the recipe.
Cost per Arroba Produced
Computes the cost per arroba produced = total production cost ÷ arrobas produced (1 arroba = 15 kg of carcass). It is the key indicator in beef production: comparing the cost per arroba with the selling price of the arroba defines the business margin. Include in the cost the feed, health, labour and other period expenses. Enter the total production cost and the arrobas produced.
Arroba Gain in Feedlot
Computes the carcass arroba gain in the feedlot = (final weight − initial weight) × carcass yield ÷ 100 ÷ 15. It converts the live weight gain into carcass arrobas (1 arroba = 15 kg), which is how cattle are traded. The typical carcass yield of feedlot cattle is between 52% and 58%. It is the basis to price the feedlot result. Enter the initial weight, the final weight and the carcass yield.
Cattle Finishing Margin
Computes the margin (result) of finishing a steer = arrobas sold × arroba price − total cost. It shows the profit or loss per animal at the end of the feedlot, considering the sale revenue and all costs (purchase of the lean animal, feed, health). Margins depend greatly on the spread between the lean and fat steer. Enter the arrobas sold, the arroba price and the total cost.
Feedlot Days
Computes the number of feedlot days = (desired final weight − initial weight) ÷ average daily gain (ADG). It estimates how long the steer needs to stay in the feedlot to reach the slaughter weight, given the diet's expected daily performance. The period defines the total feed cost and the lot's logistics. Enter the initial weight, the desired final weight and the ADG.
Feedlot Daily Cost
Computes the daily feeding cost of an animal in the feedlot = dry matter intake × dry matter cost. Feed is the feedlot's largest cost; multiplied by the feedlot days, it gives the total feeding cost. Dry matter intake is around 2% to 2.5% of live weight. Enter the daily dry matter intake and the cost per kilogram of the diet.
Rotational Paddock Area
Computes the area of each paddock in rotational grazing = total area ÷ number of paddocks. The system divides the pasture into paddocks grazed in rotation, giving the forage rest and regrowth time, which increases stocking and productivity. Uniform paddocks ease the rotation management. Enter the total pasture area and the number of paddocks.
Rotational Paddock Count
Computes the number of paddocks needed for rotational grazing = rest period ÷ occupation period + 1. The rest is the time the forage needs to regrow between grazings, and the occupation is the time the animals stay in each paddock; the sum ensures there are always paddocks resting. Enter the rest period and the occupation period in days.
Medication Dose Volume
Computes the volume to administer of a medication = (dose in mg/kg × weight) ÷ product concentration (mg/mL), in mL. It converts the prescribed dose per kilogram into the actual amount of the injectable or oral solution, avoiding under- or overdose errors. Always check the concentration on the label. Enter the dose per kg, the animal weight and the medication concentration.
Antibiotic Reconstitution
Computes the concentration of an antibiotic (or other powder) after reconstitution = mass in the vial ÷ diluent volume, in mg/mL. Many medications come as a powder and must be diluted before use; knowing the final concentration is essential to calculate the dose volume correctly. Use the diluent and volume indicated on the leaflet. Enter the vial mass and the diluent volume added.
Fluid Therapy Rate
Computes the fluid therapy infusion rate = animal weight × rate per kg per hour, in mL/h. The maintenance rate is around 2 to 6 mL/kg/h; in dehydration or shock, higher rates are used for controlled periods. Setting the rate in mL/h guides the infusion pump or drip adjustment. Enter the animal weight and the desired rate per kg per hour.
IV Drip Rate
Computes the drip rate of an IV fluid = (volume × the set's drop factor) ÷ (time × 60), in drops per minute. The drop factor depends on the IV set (macrodrops ≈ 20 drops/mL, microdrops ≈ 60); adjusting the drops per minute delivers the volume in the prescribed time without an infusion pump. Enter the volume to infuse, the set's drop factor and the total time in hours.
Pet Energy Requirement (MER)
Computes the daily maintenance energy requirement (MER) of dogs and cats = 70 × weight^0.75 × activity factor. The term 70×weight^0.75 is the resting energy requirement (RER); the factor adjusts for the situation (1.0 for neutered cats, 1.2–1.6 for active, 2–3 for puppies, <1 for obese). It defines how many calories the animal should consume per day. Enter the weight and the activity factor.
Pet Daily Food by Energy
Computes the daily amount of food for a dog or cat = energy requirement (kcal/day) ÷ energy density of the food (kcal/g). It converts the animal's caloric requirement into the amount of food to offer, according to the metabolizable energy on the package (dry foods have ~3.5 to 4.2 kcal/g). Split into two or more meals. Enter the energy requirement and the food density.
Employee Turnover Rate
Computes the turnover rate (staff rotation) = average of hires and departures ÷ average headcount × 100. It is the main HR indicator to measure team rotation; high turnover raises operating cost with recruitment and training and signals climate or management problems. Tracking the trend helps act before talent loss becomes a crisis. Enter the hires, the departures and the average headcount of the period.
Absenteeism Rate
Computes the absenteeism rate = lost hours (absences and tardiness) ÷ scheduled work hours × 100. It measures how much employee absence impacts the planned schedule; high absenteeism reduces productivity and may indicate health, motivation or working-condition problems. It is a key people-management indicator. Enter the lost hours and the scheduled hours in the period.
Employee NPS (eNPS)
Computes the eNPS (employee Net Promoter Score) = % promoters − % detractors. An adaptation of the NPS to measure employee loyalty: from the question "on a 0–10 scale, how likely are you to recommend the company as a place to work?", respondents are classified as promoters (9–10), neutrals (7–8) and detractors (0–6). The result ranges from −100 to +100; above +30 is considered good. Enter the percentages of promoters and detractors.
Cost per Hire
Computes the cost per hire = total recruitment costs ÷ number of hires. It sums advertising, tools, HR team time, exams and onboarding, divided by the filled positions. It is a recruitment efficiency indicator; comparing it with the market and over time helps optimise the selection process. Enter the total recruitment costs and the number of hires.
Average Time to Fill
Computes the average time to fill a position = sum of the days of all positions ÷ number of filled positions. It measures recruitment agility from opening to offer acceptance; long processes cost more and risk losing candidates to competitors. Tracking the indicator helps identify bottlenecks in the selection funnel. Enter the sum of the days of all positions and the number of filled positions.
HR to Employee Ratio
Computes the HR ratio per 100 employees = HR staff ÷ total employees × 100. It indicates the sizing of the human resources team relative to the total workforce; the market benchmark is usually around 1 to 2 HR professionals per 100 employees, varying with the level of automation and complexity. Enter the number of HR staff and the total number of employees.
Revenue per Employee
Computes the revenue per employee = total revenue ÷ number of employees. It is a productivity indicator showing how much revenue each employee generates, useful to compare companies in the same sector and assess workforce efficiency. Sustained increases indicate productivity gains or automation. Enter the total revenue and the number of employees in the period.
Projected Headcount
Projects the headcount at the end of a period = current headcount + planned hires − planned departures. It is the basis of workforce planning: it helps anticipate hiring needs, space, equipment and payroll. Also consider expected voluntary departures in the projections. Enter the current headcount, the planned hires and departures.
Hotel Occupancy Rate
Computes a hotel's occupancy rate = occupied rooms ÷ available rooms × 100. It is the basic hotel performance indicator, showing what percentage of rooms were sold in the period. Combined with the average daily rate (ADR), it forms RevPAR. High occupancy with a low rate is not always the best result. Enter the occupied rooms and the available rooms.
Hotel ADR
Computes the average daily rate (ADR) = lodging revenue ÷ number of rooms sold. It shows the average price actually charged per room sold, net of promotions and differentiated rates. It is one of the pillars of hotel revenue management, used to price and compare performance. Enter the lodging revenue and the number of rooms (room-nights) sold.
Hotel RevPAR
Computes the RevPAR (Revenue Per Available Room) = lodging revenue ÷ available rooms. Unlike ADR (which considers only sold rooms), RevPAR spreads the revenue across all available rooms, reflecting both occupancy and rate at once. It is the leading performance indicator in the hotel industry. Enter the lodging revenue and the number of available rooms in the period.
Rooms for Revenue Target
Computes how many room-nights (rooms sold) are needed to reach a revenue target = revenue target ÷ average daily rate (ADR). It helps break down the financial goal into operational occupancy and sales targets; combined with the number of rooms and days, it indicates the required occupancy rate. Enter the revenue target and the average daily rate.
Event Venue Capacity
Estimates the capacity of an event venue = area ÷ m² per person. The space per person varies with the layout: about 1 m²/person standing (cocktail), 1.3 to 1.5 m² for auditorium and 1.5 to 2 m² for dinner tables. Respecting the capacity ensures comfort, circulation and safety (emergency exits). Enter the usable venue area and the space per person for the chosen layout.
Event Buffet Food
Computes the amount of food for an event buffet = number of people × grams per person ÷ 1000, in kilograms. The consumption per person varies with the event type and duration: about 400–500 g of savouries/hot dishes per person at parties, more at dinners. Add drinks, desserts and a safety margin. Enter the number of guests and the estimated consumption per person.
Event Sound Power
Estimates the sound power for an event = number of people × watts per person. As a rule of thumb, about 5 to 10 W RMS per person are used in enclosed spaces, more in open areas or with live music. It is an initial estimate to size speakers and amplifiers; the venue acoustics and the type of sound greatly influence it. Enter the number of people and the watts per person for the event type.
Event Tables Count
Computes the number of tables for an event = number of guests ÷ people per table. Round tables typically seat 8 to 10 people; rectangular ones vary with length. Knowing the quantity helps plan the rental, the venue layout and the circulation between tables. Round up and consider extra support tables. Enter the number of guests and the capacity per table.
Air Dimensional Weight
Computes the dimensional (volumetric) weight of a shipment for air freight = (length × width × height in cm) ÷ 6000. Carriers charge by the greater of the actual and the dimensional weight, to avoid shipping light, bulky packages at light-cargo prices. The factor 6000 is the air standard (5000 in some express services). Enter the three package dimensions in centimetres.
Road Freight Cubage
Computes the dimensional weight of a shipment for road freight = volume in m³ × 300, using the standard cubage factor of 300 kg/m³ adopted by most road carriers. As in air freight, the greater of the actual and the dimensional weight is charged. Bulky, light cargo pays by the dimensional weight. Enter the total cargo volume in cubic metres.
Boxes per Pallet
Computes how many boxes fit on a pallet = (pallet length ÷ box length, rounded down) × (width ÷ width, rounded) × number of layers. It is the basis of palletisation: making good use of the standard pallet (120 × 100 cm) reduces transport and storage cost. Testing rotating the boxes may increase the use. Enter the pallet and box dimensions and the number of layers.
Parking Spaces by Area
Estimates the number of parking spaces = total area ÷ area per space. The area per space includes the space itself (~12.5 m²) and the circulation share (aisles, manoeuvring), totalling about 25 m² per space in common car parks. It is a design estimate; the real layout depends on the site geometry. Enter the total available area and the average area per space.
Markup Divisor Price
Computes the selling price using the markup divisor method = cost ÷ (1 − (margin + costs + taxes) ÷ 100). Unlike adding a percentage to the cost, the divisor ensures the desired margin applies to the final price, not to the cost — avoiding the classic error of pricing below expectations. Include in the percentage the profit margin, taxes, commissions and variable expenses. Enter the product cost and the total percentage.
Marketplace Net Value
Computes the net amount the seller receives on a marketplace = selling price × (1 − commission ÷ 100) − fixed fee. Platforms charge a percentage commission and sometimes a fixed fee per item; knowing the real net is essential to price with margin. Also add the shipping cost if it is on you. Enter the selling price, the commission and the fixed fee.
Successive Discounts
Computes the final price after two successive discounts = price × (1 − d1 ÷ 100) × (1 − d2 ÷ 100). Discounts applied in sequence do not add up: 20% then 10% does not result in a 30% reduction, but 28%, because the second applies to the already reduced value. Understanding this avoids errors in promotions and negotiations. Enter the original price and the two discount percentages.
Free Shipping Margin
Computes the real margin of a sale with free shipping = (price − cost − absorbed shipping) ÷ price × 100. Offering free shipping boosts conversion but eats the margin; this calculation shows the real profitability after absorbing the freight. If the margin gets low, consider embedding the shipping in the price or setting a minimum order value. Enter the price, the product cost and the absorbed shipping.
Unit Contribution Margin
Computes the unit contribution margin = selling price − unit variable cost. It is how much each unit sold contributes to paying the fixed costs and generating profit, after covering its own variable costs (raw material, commissions, taxes). It is the basis to calculate the break-even point and decide the product mix. Enter the selling price and the unit variable cost.
Price per Gram
Computes the price per gram of a product = price ÷ quantity in grams. It lets you compare packages of different sizes and find which actually costs less per unit of weight, since the larger package is not always the most economical. It works for food, cosmetics and any product sold by weight. Enter the price and the quantity in grams.
Marketplace Fee Total
Computes the total cost charged by the marketplace on a sale = price × commission ÷ 100 + fixed fee. It sums the percentage commission and the fixed per-item fee the platform deducts, showing how much of the sale stays with the marketplace. Comparing this cost across platforms helps decide where to list and how to price. Enter the selling price, the commission and the fixed fee.
Markup Multiplier
Computes the markup multiplier = selling price ÷ cost. It indicates how many times the selling price is greater than the cost (e.g. a 2.5× markup means selling at two and a half times the cost). It is a quick, practical way to price in retail, used as a mental shortcut by shopkeepers. To find the real profit, deduct taxes and expenses. Enter the selling price and the product cost.
Property Price per m²
Computes the price per square metre of a property = total value ÷ area. It is the main metric to compare properties and assess whether a price is above or below the area's market. Remember the price per m² varies greatly with location, finishing standard, floor and neighbourhood infrastructure. Enter the property value and the area in square metres.
Realtor Commission
Computes the real estate agent's commission = sale value × percentage ÷ 100. In Brazil, the brokerage commission is usually between 5% and 6% for urban properties and up to 8%–10% for land and rural properties, according to the regional CRECI table and negotiation. It is generally paid by the seller. Enter the sale value and the commission percentage.
Property Value by m²
Estimates a property's value from the price per square metre = price per m² × area. It is useful to quickly appraise a property using the price per m² practised in the area (from listings or real estate indices). It is a reference estimate; the formal appraisal considers condition, position and improvements. Enter the price per m² and the property area.
Hair Dye Amount
Estimates the amount of dye to colour the hair = length × dye per centimetre. Longer, thicker hair requires more product: one tube (~60 g) usually suffices for short to medium hair, while long hair may need two or more. Estimating avoids waste and running out mid-application. Enter the hair length and the dye-per-cm factor according to the volume.
Developer Volume
Computes the volume of developer (peroxide) for the colouring = dye used × developer:dye ratio. The ratios vary with the brand and technique: 1:1 for common colouring, 1:1.5 for some tones and up to 1:2 in bleaching. Respecting the ratio ensures correct colour development and hair health. Enter the amount of dye and the ratio recommended by the manufacturer.
Product Yield per Clients
Computes for how many clients a beauty product lasts = product volume ÷ consumption per client. Useful for manicurists, hairdressers and estheticians to calculate the cost per service of polishes, creams, gels and other products, and to price the service with the right margin. Enter the total product volume and the average consumption per client.
Esthetic Session Cost
Computes the cost of an esthetic session = product cost + hourly cost × duration. It sums the consumed materials (creams, disposables) to the cost of the professional's working time and the structure. It is the basis to set the procedure price by applying the desired margin. Enter the product cost, the hourly cost and the session duration.
Sewing Piece Price
Computes the selling price of a sewn piece = (fabric cost + notions + labour) × (1 + profit ÷ 100). It sums all direct costs of the making and applies the desired profit margin. Many seamstresses underprice by forgetting their own labour; including it is essential for a fair price. Enter the fabric, notions and labour costs and the profit percentage.
Sewing Labor Cost
Computes the sewing labour cost per piece = hourly rate × hours per piece. Valuing one's own time is the most forgotten step in artisanal pricing; setting a fair hourly rate and measuring how long each piece takes ensures the work is paid. This value enters the total cost of the piece. Enter your hourly rate and the time spent per piece.
Fabric Roll Yield
Computes how many pieces a fabric roll yields = roll length ÷ consumption per piece. It helps plan production and fabric purchasing, estimating how many pieces come out of each roll. The consumption per piece depends on the model, the size and the marker efficiency. Round down and account for cutting losses. Enter the roll length and the fabric consumption per piece.
Bundle Price
Computes the price of a bundle or kit = sum of the individual items × (1 − discount ÷ 100). Selling grouped products with a discount raises the average ticket and helps move stock, while offering savings to the customer. The bundle discount must fit within the margin of the combined items. Enter the sum of the individual prices and the bundle discount percentage.
Price with Tax Inside
Computes the selling price with tax "inside" = price without tax ÷ (1 − rate ÷ 100). Taxes like the Brazilian ICMS are calculated inside, meaning they apply to the final price itself — so adding the rate directly to the price underestimates the value. This calculation ensures that, after the tax, the desired net value remains. Enter the price without tax and the rate.
Food Cost Percentage
Computes a dish's food cost = ingredient cost ÷ selling price × 100. It is the central indicator of restaurant management: it shows what percentage of the price is consumed by raw material. The healthy benchmark is between 25% and 35%, depending on the operation type. Tracking food cost avoids loss-making dishes and guides price and portion adjustments. Enter the ingredient cost and the dish selling price.
Food Correction Factor
Computes the correction factor (CF) of a food = gross weight ÷ net weight. It measures the waste in pre-preparation (peels, trimmings, bones): a CF of 1.43 means you need to buy 1.43 kg of the gross food to get 1 kg clean. It is essential to price recipe cards and calculate purchases accurately. Enter the gross weight (as purchased) and the net weight (after cleaning).
Price from Food Cost
Computes the selling price of a dish from the desired food cost = ingredient cost ÷ (target food cost ÷ 100). It is the inverse of the food cost: with the ideal raw-material percentage set, it finds the price that ensures that goal. Then check whether the price is competitive in your market. Enter the ingredient cost and the target food cost as a percentage.
COGS Percentage
Computes the COGS (Cost of Goods Sold) as a percentage = (initial inventory + purchases − final inventory) ÷ sales × 100. It shows how much the goods actually consumed in the period cost relative to revenue. In bars and restaurants, COGS is usually between 28% and 38%; high values indicate waste, theft or poor pricing. Enter the initial inventory, the purchases, the final inventory and the sales.
Draft Beer Cost per Glass
Computes the cost of a glass of draft beer = keg price × glass volume ÷ (keg litres × 1000). It finds how much each served glass costs from the keg price, a basis to price and calculate the drink margin. Also account for draft loss in foam and line purging (about 5% to 10%). Enter the keg price, the volume in litres and the glass size in millilitres.
Dish Portions
Computes how many portions a recipe yields = total weight ÷ grams per portion. Standardised portioning is essential in restaurants: it ensures consistency, controls the cost per dish and prevents customers from receiving different amounts. Use a scale and standardise the portions of each item. Enter the total weight of the finished recipe and the gram weight of each portion.
Drink Dose Cost
Computes the cost of a spirit dose = dose volume × price per litre ÷ 1000. It is the basis of bar "pour cost": from the bottle price per litre, it finds how much each served dose costs, to price drinks with margin. Add the other cocktail inputs (ice, fruit, syrups) for the total cost. Enter the dose volume and the price per litre of the drink.
Food Net Weight
Computes the net weight of a food after pre-preparation = gross weight × (1 − loss ÷ 100). The cleaning loss (peels, stalks, fat, bones) varies greatly by food and technique; knowing it is essential to size purchases and recipe-card costs. For example, 1 kg of food with 30% loss yields 700 g usable. Enter the gross weight and the cleaning loss percentage.
Laundry Price by Weight
Computes the price of a laundry service charged by weight = laundry weight × price per kilo. Charging by the kilo is common in self-service and per-kg laundries; knowing the value helps the customer plan and the owner price. Delicate or bulky items (duvets, sneakers) usually have their own table. Enter the laundry weight and the price charged per kilo.
Freelancer Hourly Rate
Computes a freelancer's hourly rate = (desired pro-labore + fixed costs) ÷ billable hours per month. The common mistake is dividing the salary by the hours worked; the correct way is to use only the truly billable hours (discounting prospecting, admin and time off) and add the business costs. Also add taxes and a margin. Enter the desired pro-labore, the monthly fixed costs and the billable hours.
Freelancer Project Price
Computes the price of a freelance project = hourly rate × estimated hours. Quoting per project from a good hour estimate gives the client predictability and protects the professional. Add a safety margin for unforeseen issues and revisions, and consider the value delivered, not just the time. Enter your hourly rate and the estimated hours for the project.
Rideshare Net per Km
Computes the net earnings per kilometre of a rideshare driver = (gross earnings − fuel cost) ÷ kilometres driven. It shows how much actually remains per km after fuel, an essential indicator to know whether driving is worth it. For the real profit, also deduct maintenance, depreciation and taxes. Enter the gross earnings, the fuel spend and the kilometres driven.
Vehicle Cost per Km
Computes the cost per kilometre driven of a vehicle = (fuel + maintenance) ÷ kilometres driven. It is the basis to price freight, deliveries and fleet use, as well as to compare vehicles. For a more complete cost, include depreciation, insurance, tax and tyres apportioned by mileage. Enter the fuel and maintenance spend and the kilometres driven in the period.
Pet Grooming Price
Computes the bath-and-groom price adjusted by the animal's size = base price × size factor. Larger dogs consume more product, water and time, so the price rises with size; the factor translates this difference (e.g. 1.0 for small, 1.5 for medium, 2.0+ for large). Long-haired or matted breeds need an extra adjustment. Enter the base price and the factor of the size served.
Class Package Price
Computes the price per class within a package = package value ÷ number of classes. It helps private tutors, personal trainers and schools price packages and show the student the savings versus the single class. Larger packages usually have a lower price per class to encourage loyalty. Enter the total package value and the number of classes included.
Gym Churn Rate
Computes the student churn rate = cancelled students ÷ students at the start of the period × 100. In gyms, schools and subscription clubs, churn erodes recurring revenue; reducing churn is usually cheaper than acquiring new members. Tracking the indicator helps act on retention before the student quits. Enter the cancelled students and the total students at the start of the period.
Labor Daily Cost
Computes the daily labour cost of a construction job = (number of masons × mason's daily rate) + (number of helpers × helper's daily rate). It is the basis of the labour budget; multiplied by the work days, it gives the total team cost. Also consider charges, meals and transport if applicable. Enter the number and daily rate of masons and helpers.
Construction Cost per m²
Computes the cost per square metre of a construction = total work cost ÷ built area. It is the most used metric to compare projects and estimate new ones. It varies greatly with the finishing standard, the region and the project complexity. Compare it with the regional basic unit cost (CUB) to assess whether it is within the market. Enter the total cost and the built area.
Construction Cost by CUB
Estimates a construction cost using the CUB = built area × CUB value (per m²). The CUB (basic unit cost) is published monthly by the construction unions of each Brazilian state and serves as a reference for the cost per m² according to the building standard. It is an initial estimate; the detailed budget considers foundations, finishes and particularities. Enter the built area and the regional CUB value.
Construction Time
Estimates a construction deadline from the labour = total work hours ÷ (number of workers × hours per day). It converts the estimated effort (man-hours) into calendar days according to the team size and the workday. It is a simplified estimate; dependent tasks and weather can extend the deadline. Enter the total work hours, the number of workers and the hours per day.
Cake Price per Kilo
Computes the price of a cake charged by the kilo = cake weight × price per kg. Selling by the kilo is the standard in bakeries and party cakes; knowing the value helps quote and compare with the production cost. The price per kg varies with the filling, frosting and decoration. Enter the cake weight and the price charged per kilo.
Candy Hundred Price
Computes the price of a hundred sweets = unit cost × 100 × (1 + profit ÷ 100). Brigadeiros, beijinhos and party sweets are usually sold by the hundred; from the cost of each one and the desired margin, the price of the hundred is set. Include in the unit cost ingredients, packaging (cup) and gas. Enter the cost of each sweet and the profit percentage.
Cake Slice Cost
Computes the cost per slice of a cake = total cost ÷ number of slices. Useful for cafés and bakeries that sell cake by the slice: knowing the cost of each slice allows pricing with the right margin and comparing the profitability between the whole cake and fractioned sales. Enter the total cost of the cake and how many slices it is divided into.
Party Savory Count
Computes the quantity of savouries for a party = number of people × savouries per person. The average varies with the type and duration of the event and whether there are other dishes: about 8 to 12 savouries per person at short parties, more at long celebrations or without a meal. Add a safety margin. Enter the number of guests and the estimated consumption per person.
Candies per Recipe
Computes how many sweets a recipe yields = dough weight ÷ weight per sweet. Knowing the yield is essential to price the hundred, calculate the unit cost and size production for orders. The weight per sweet defines the size: traditional brigadeiros have about 15 to 20 g. Enter the total dough weight and the weight of each rolled sweet.
Delivery Fee by Distance
Computes the delivery fee by distance = base fee + (distance × price per km). It is the most common model in own delivery: a fixed departure fee plus a value per kilometre driven, covering the courier and fuel cost. Set the base fee and the value per km based on your real cost per delivery. Enter the base fee, the distance and the value per kilometre.
Delivery Net Value
Computes the net amount received on a delivery order after the app commission = selling price × (1 − commission ÷ 100). Apps charge commissions usually ranging from 12% to 30% depending on the plan and delivery; deducting them is essential to know the order's real margin. Also add payment and packaging fees. Enter the selling price and the app commission.
Delivery Menu Price
Computes the selling price on the delivery app to keep the same counter margin = counter price ÷ (1 − commission ÷ 100). Since the app deducts a commission, selling at the same counter price reduces profit; this calculation gives the price that, after the commission, leaves the same net value. Assess competitiveness before applying. Enter the counter price and the app commission.
Orders for Revenue Target
Computes how many orders are needed to reach a revenue target = target ÷ average ticket. It helps restaurants and delivery turn the financial goal into a clear operational target of order count, guiding the team and sales actions. Raising the average ticket reduces the number of orders needed. Enter the revenue target and the average ticket.
Grain Bag Cost
Computes the production cost per bag = total cost per hectare ÷ yield (bags per hectare). It is the key crop indicator: comparing the cost per bag with the selling price defines whether the harvest is profitable. The higher the yield, the lower the cost per bag, diluting the fixed costs. Enter the total cost per hectare and the expected yield in bags per hectare.
Profit per Hectare
Computes the profit per hectare of a crop = (yield × bag price) − cost per hectare. It shows the financial result of each cultivated hectare, a basis to decide what to plant and assess the harvest viability. Tight margins in agribusiness make this calculation essential in planning. Enter the yield, the bag price and the cost per hectare.
Land Lease in Bags
Computes the value of a rural lease charged in bags = bags per hectare × area × bag price. In Brazil, agricultural land leases are usually agreed in bags of soybean or maize per hectare, converted into money by the bag price at payment time. Enter the agreed bags per hectare, the leased area and the bag price.
Break-even in Bags
Computes the break-even point of a crop in bags = cost per hectare ÷ bag price. It shows how many bags per hectare are needed just to cover the production cost; everything harvested above that is profit. It is a quick reference to assess the harvest risk against the expected yield. Enter the cost per hectare and the bag price.
Mechanic Labor Price
Computes the labour value of a mechanic service = service hours × hourly rate. Workshops charge labour by the hour worked (or by the task's tabulated time); setting an hourly rate that covers costs and generates profit is essential. Add the parts separately for the total quote. Enter the service hours and the workshop's hourly rate.
Auto Part Markup
Computes the resale price of a part at the workshop = part cost × (1 + markup ÷ 100). Besides labour, workshops profit on part resale by applying a markup over the purchase cost; a healthy percentage covers the capital tied up in stock and the warranty. Enter the part cost and the desired markup percentage.
Repair Shop Quote
Computes the total quote of a workshop service = (hours × hourly rate) + (part cost × (1 + markup ÷ 100)). It sums labour and parts with markup, giving the final value for the customer. Presenting a detailed quote (labour and parts separated) builds more trust. Enter the hours, the hourly rate, the part cost and the part markup.
Photo Session Price
Computes the price of a photo session = (hourly cost × session hours) + editing cost. The photographer must charge not only the capture time, but also the post-production hours (selection and retouching), which often exceed the session time. Add travel and equipment costs if applicable. Enter the hourly cost, the session hours and the editing cost.
Cover Charge Total
Computes the total revenue from the artistic cover charge = number of people × cover value. The cover charge covers the musicians' fee and the show structure; estimating the revenue helps the bar negotiate the performance and set the value charged per person. Remember some of the audience may not pay (children, complimentary). Enter the number of paying people and the cover value.
Open Bar Cost per Person
Computes the open bar cost per person = total drink cost ÷ number of people. It helps budget parties and price the open bar service, showing how much each guest represents in drinks. Consumption varies with the audience profile, the duration and the event's climate. Enter the total drink cost and the number of guests.
Tour Package Price
Computes the price per person of a tour package = total cost ÷ number of people × (1 + markup ÷ 100). The agency splits the package cost (transport, lodging, tours) among the travellers and applies the profit margin. Packages for larger groups usually have a lower price per person due to the dilution of fixed costs. Enter the total cost, the number of people and the markup.
Barber Commission
Computes the barber's commission = service value × percentage ÷ 100. In many barbershops the professional receives a percentage of each service (commonly 40% to 60%), a model that aligns earnings with productivity. Knowing the value helps barber and owner settle accounts and plan income. Enter the service value and the agreed commission percentage.
Barber Daily Revenue
Computes a barber's daily revenue = number of clients × average ticket. It helps project revenue, set goals and assess whether adding services (beard, eyebrow) is worthwhile to raise the ticket. Multiplied by the days worked, it estimates the monthly income. Enter the number of clients served in the day and the average ticket per client.
Hairdresser Net Commission
Computes the hairdresser's net commission = (service value − product cost) × percentage ÷ 100. In services with product (colouring, chemistry), it is common to deduct the material before calculating the commission, so the professional earns on the service, not on the input. This model avoids loss to the salon. Enter the service value, the product cost and the commission percentage.
Gel Nail Price
Computes the price of a gel nail service = material cost + (hourly cost × duration). Extension procedures (gel, fibre) consume material and a lot of the manicurist's time; pricing based on time and real cost avoids working at a loss. Add the desired profit margin to the result. Enter the material cost, your hourly cost and the procedure duration.
Salon Chair Rent
Computes the chair rent in a salon or barbershop = daily rate × days worked. In the rented-chair model, the professional pays a fixed amount for the space and keeps 100% of the services, instead of splitting a commission. Comparing the rent with the commission helps choose the best model. Enter the daily rate and the days worked in the month.
Hair Treatment Cost
Computes the product cost in a chemical service (smoothing, colouring, straightening) = grams used × price per gram. Knowing how much product each service consumes allows correct pricing and stock control; long or thick hair uses more. It is the basis to deduct the material before the commission. Enter the amount of product used and the price per gram.
Cleaning Price per m²
Computes the price of a cleaning charged by square metre = area × price per m². Charging by m² is objective and fair for commercial and post-construction cleaning; the value per m² varies with the dirt level and the cleaning type (regular, heavy, post-construction). Enter the area to clean and the price per square metre charged.
Cleaner Daily Price
Computes the daily rate of a cleaner = hours worked × hourly rate. Charging by the hour is common for residential cleaning; the hourly rate varies with the region, experience and travel. From it, the daily rate is set and the week's schedule planned. Enter the hours worked and the hourly rate.
Gardening Visit Price
Computes the price of a gardening visit (lawn mowing, pruning) = base price + (area × price per m²). The base price covers travel and the minimum time, and the per-m² part pays for the lot size. This model makes the quote fair for small and large yards. Enter the base visit price, the area and the price per square metre.
Cleaning Product Yield
Computes how many litres of solution a concentrated product yields = concentrate volume (mL) × dilution factor ÷ 1000. Concentrated disinfectants and detergents go a long way when diluted in the right ratio (e.g. 1:50); knowing the yield helps compare value and plan purchases. For 1:50, each 200 mL produces 10 litres of solution. Enter the available concentrate and the dilution factor.
Website Maintenance Fee
Computes the maintenance fee of a website = expected hours per month × hourly rate. Maintenance contracts (updates, backups, small fixes) give predictability to the freelancer and the client; estimating the monthly hours and multiplying by the hourly rate sets the fair value. Include hosting and licences separately if applicable. Enter the expected hours per month and the hourly rate.
Website Project Price
Computes the price of a website project = (number of pages × price per page) + initial setup. Quoting per page gives an objective base, while the setup covers configuration, domain, base layout and publishing. Special features (store, integrations) enter as extra items. Enter the number of pages, the price per page and the setup value.
Annual Accounting Fee
Computes the annual accounting fee = monthly fee × 13. Most accounting firms charge 13 monthly fees a year (one extra for the annual closing and tax return, similar to a 13th salary). Knowing the annual total helps the company budget the service cost. Enter the monthly accounting fee.
Print Page Cost
Computes the cost per printed page = toner cost ÷ page yield + paper cost. It shows the real cost of each print, summing the toner apportioned by yield and the paper; it is the basis to price the printing and copying service. Include energy and wear for a more complete cost. Enter the toner cost, the page yield and the paper cost per sheet.
Spiral Binding Cost
Computes the cost of a spiral binding = (number of sheets × cost per sheet) + spiral cost. It sums the page printing to the finishing material (spiral and covers); it is the basis to price the service in quick-print shops and stationers. The spiral cost varies with the diameter (number of sheets). Enter the number of sheets, the cost per printed sheet and the spiral cost.
Print Batch Price
Computes the price of a batch print = number of sheets × price per sheet. It is the basic charging calculation in stationers and quick-print shops; prices usually drop per sheet in large volumes. For the real profit, compare with the cost per printed sheet. Enter the number of sheets and the price charged per sheet.
Clothing Repair Price
Computes the price of a clothing repair = (time in minutes ÷ 60 × hourly rate) + material cost. Hems, adjustments and zipper changes are charged by time and material (thread, zipper, buttons); pricing by time avoids undervaluing quick but meticulous repairs. Enter the repair time, your hourly rate and the material cost.
Curtain Quote
Computes the fabric cost of a curtain = window width × fullness multiplier × fabric price per metre. The multiplier (usually 2 to 3) creates the curtain's gathered drape: the larger it is, the fuller the fabric looks. Add the sewing labour and the rails for the total quote. Enter the window width, the fullness multiplier and the fabric price per metre.
Curtain Fabric Meters
Computes the fabric length for a curtain = window width × fullness multiplier. It defines how much fabric to buy to get the desired drape; larger multipliers (2.5 to 3) make the curtain fuller and more elegant. For fabrics shorter than the window, joining will be needed — add some slack. Enter the window width and the fullness multiplier.
Custom Pillow Price
Computes the price of a custom pillow = (fabric cost + filling + labour) × (1 + profit ÷ 100). It sums the materials and the sewing work and applies the profit margin. Handmade products are often underpriced by forgetting the labour; including it ensures a fair price. Enter the fabric, filling and labour costs and the profit percentage.
Current Ratio
Computes the current ratio = current assets / current liabilities, from the current assets and current liabilities; the result indicates how much the company has in short-term resources for each unit of short-term debt. The current ratio is one of the most used indicators in balance sheet analysis: it measures the company's ability to meet its short-term obligations with its short-term assets (cash, receivables, inventories). A ratio greater than 1 indicates that current assets exceed current liabilities, which is generally desirable; a ratio of 2, for example, means there are $2 of current assets for each $1 of current liabilities. Very high values may indicate excess idle resources (high inventories, idle cash), while values below 1 signal short-term insolvency risk. The ideal level varies by sector. It is a key indicator for creditors, suppliers and investors. Enter the current assets and the current liabilities.
Quick Ratio (Acid Test)
Computes the quick ratio = (current assets − inventories) / current liabilities, from the current assets, inventories and current liabilities; the result measures the ability to pay short-term debts without relying on the sale of inventories. The quick ratio (or acid test) is a more conservative version of the current ratio: it excludes inventories from current assets, as they are the least liquid assets and the most uncertain to convert into cash quickly (they may become obsolete, depreciate or require discounts). Thus, it considers only the most liquid assets — cash, investments and receivables. For example, with current assets of $200,000, inventories of $60,000 and current liabilities of $100,000, the quick ratio is 1.40. The closer to the current ratio, the lower the dependence on inventories; a large difference between the two indicates that short-term solvency depends heavily on selling goods. It is especially relevant in sectors with slow-moving inventories. Enter the current assets, the inventories and the current liabilities.
Cash Ratio
Computes the cash ratio = cash and equivalents / current liabilities, from the cash and equivalents and the current liabilities; the result measures the ability to pay short-term debts immediately, only with readily available resources. The cash ratio is the most stringent of the liquidity ratios: it considers only what can be used right away — cash, banks and immediately liquid financial investments —, excluding receivables and inventories. It shows how much of the short-term debt could be settled instantly, without waiting for receipts or selling goods. For example, with $30,000 of cash and $100,000 of current liabilities, the cash ratio is 0.30. Low values are common and not necessarily worrying, since keeping too much idle cash is inefficient; but a very low ratio combined with low current ratio signals difficulty in meeting urgent commitments. It is an indicator of very short-term cash cushion. Enter the cash and equivalents and the current liabilities.
General Liquidity Ratio
Computes the general liquidity ratio = (current assets + long-term receivables) / (current liabilities + non-current liabilities), from these four balance sheet groups; the result measures the ability to pay all debts (short and long term) with non-permanent resources. The general liquidity ratio extends the analysis beyond the short term: it includes in the numerator the long-term receivables (credits and amounts receivable after one year) and in the denominator all the liabilities (current and non-current). It shows the company's long-term solvency, that is, whether the total of assets and rights convertible into money covers the total of obligations. For example, with current assets $200,000, long-term receivables $50,000, current liabilities $100,000 and non-current $80,000, the general liquidity is 1.39. A ratio greater than 1 indicates the company has sufficient resources to meet all its debts; below 1, part of the obligations depends on generating future results. It is a structural solvency indicator. Enter the four groups.
Debt-to-Equity Ratio
Computes the debt-to-equity ratio = (third-party capital / equity) × 100, from the third-party capital (total liabilities) and the equity; the result is in %, indicating how much the company owes to third parties for each 100 of own capital. The debt-to-equity ratio is a central indicator of the capital structure: it measures the degree of dependence on third-party resources (debts, financing, suppliers) relative to the owners' capital. For example, $180,000 of third-party capital over $150,000 of equity give a debt-to-equity of 120%, that is, the company owes 1.2 times its own capital. High indebtedness increases financial risk (more fixed obligations of interest and amortisation) but can leverage profitability when the cost of debt is lower than the return on assets. The appropriate level depends on the sector, the stability of cash flow and interest rates. It is fundamental in credit and risk analysis. Enter the third-party capital and the equity.
Debt Composition
Computes the debt composition = (current liabilities / third-party capital) × 100, from the current liabilities and the total third-party capital (liabilities); the result is in %, indicating what portion of the debts mature in the short term. The debt composition reveals the temporal profile of the obligations: the higher the percentage, the more concentrated in the short term the debts are, requiring faster cash generation to meet them. For example, $100,000 of current liabilities over $180,000 of third-party capital give a composition of 55.56%, that is, more than half the debts mature within one year. Long-term debts give more breathing room and time for the company to generate resources, while a high short-term concentration increases cash pressure and liquidity risk. This indicator complements the debt-to-equity ratio (which measures how much is owed) by showing when these debts mature. It is essential in credit risk analysis and financial management. Enter the current liabilities and the third-party capital.
Net Working Capital (NWC)
Computes the net working capital (NWC) = current assets − current liabilities, from the current assets and current liabilities; the result is the amount of short-term resources left after covering short-term obligations. The net working capital is the company's short-term financial cushion: it represents the portion of current assets financed by long-term resources, and measures the safety margin to operate without cash squeezes. A positive NWC indicates the company has enough short-term assets to settle its short-term debts and still keep a reserve; a negative NWC means part of the long-term assets is being financed by short-term debts, a higher-risk situation. For example, current assets of $200,000 minus current liabilities of $100,000 results in an NWC of $100,000. It is the basis of working capital management and an absolute indicator (in value) complementary to the current ratio (which is a ratio). Enter the current assets and the current liabilities.
Fixed Assets to Equity
Computes the fixed assets to equity ratio = (permanent assets / equity) × 100, from the permanent assets (property, investments and intangibles) and the equity; the result is in %, indicating how much of the own capital is invested in long-term assets. This ratio shows the degree of commitment of own capital to non-current assets, which are not very liquid. The higher the immobilisation, the fewer own resources are left to finance working capital, requiring more third-party capital for current operations. For example, permanent assets of $120,000 over equity of $150,000 give an immobilisation of 80%, that is, 80% of own capital is in permanent assets and only 20% available for working capital. Ideally, the immobilisation should be below 100% — otherwise, part of the permanent assets is financed by third parties, which increases risk. This indicator is important for assessing the structure of resource application and the dependence on external financing. Enter the permanent assets and the equity.
Asset Turnover
Computes the asset turnover = net sales revenue / total assets, from the net revenue of the period and the total assets; the result indicates how many times the total assets converted into sales. The asset turnover is an operational efficiency indicator: it measures how much the company manages to generate in sales for each unit invested in assets. A high turnover means the company uses its assets productively, generating a lot of revenue with little investment; a low turnover indicates underused or capital-intensive assets. For example, net revenue of $300,000 over total assets of $250,000 gives a turnover of 1.20, that is, each $1 of assets generated $1.20 of sales in the period. Asset turnover varies greatly by sector: retail and services tend to have high turnovers, while heavy industries and utilities have low ones. It is one of the components of the DuPont analysis, which decomposes profitability into margin, turnover and leverage. Enter the net revenue and the total assets.
Interest Coverage Ratio
Computes the interest coverage ratio = EBIT / interest expenses, from the earnings before interest and taxes (EBIT) and the interest expenses; the result indicates how many times the operating profit covers the interest payable. The interest coverage ratio measures the company's ability to pay the interest on its debts with the result of its operations. A high ratio indicates that the operating profit comfortably exceeds the financial charges, signalling low default risk; a ratio close to 1 (or below) is a warning that the company barely (or cannot) cover the interest, possibly needing new debt or asset sales. For example, an EBIT of $90,000 over interest expenses of $30,000 gives a coverage of 3.0 times. Creditors and rating agencies closely monitor this indicator to assess solvency and define credit conditions. It is one of the main financial risk indicators in corporate credit analysis. Enter the EBIT and the interest expenses.
Lorentz Factor (γ)
Computes the Lorentz factor γ = 1/√(1 − β²), from the velocity β expressed as a fraction of the speed of light (β = v/c, between 0 and 1); the result is the dimensionless factor that governs all relativistic effects. The Lorentz factor is the central quantity of special relativity: it quantifies how much time dilates, length contracts and inertia increases for a moving object. At low velocities (β ≈ 0), γ ≈ 1 and Newtonian physics holds; as β approaches 1 (the speed of light), γ grows without bound, tending to infinity. For example, at 60% of the speed of light (β = 0.6), γ = 1.25 — time passes 25% slower and length shrinks in the same proportion. The Lorentz factor appears in time dilation (Δt = γΔt₀), length contraction (L = L₀/γ), relativistic momentum (p = γmv) and total energy (E = γmc²). It is the bridge between classical and relativistic mechanics. Enter β = v/c.
Velocity (from Lorentz Factor)
Computes the velocity β = √(1 − 1/γ²) as a fraction of the speed of light, from the Lorentz factor γ; the result is β = v/c, between 0 and 1. It is the inverse form of the Lorentz factor: given how much time dilates or energy increases (expressed by γ), the fraction of the speed of light at which the object moves is determined. For example, a Lorentz factor γ = 1.25 corresponds to β = 0.6, that is, 60% of the speed of light. This calculation is useful when the relativistic effect is known (for example, particles with total energy equal to a certain multiple of the rest energy, in accelerators) and the corresponding velocity is wanted. As γ grows, β approaches 1 ever more closely, but never reaches it — particles with mass cannot reach the speed of light, since that would require infinite γ and infinite energy. The relation shows how velocities close to c produce enormous Lorentz factors. Enter the Lorentz factor γ.
Relativistic Velocity Addition
Computes the relativistic sum of two velocities, u = (v + w)/(1 + vw), with v and w expressed as a fraction of the speed of light; the result is the resulting velocity, also in fraction of c. In Newtonian mechanics, velocities add directly (v + w), but this would allow exceeding the speed of light — which relativity forbids. The relativistic velocity addition formula ensures the result never exceeds c: the denominator (1 + vw, in units of c) corrects the naive sum. For example, adding 0.6c and 0.6c does not give 1.2c, but rather (1.2)/(1.36) ≈ 0.882c — still below the speed of light. If one of the velocities is c (for example, a light beam emitted from a fast ship), the result is exactly c, reflecting the invariance of the speed of light for all observers. This formula is fundamental for combining velocities between inertial frames and is one of the most counterintuitive consequences of special relativity. Enter v and w (fractions of c).
Relativistic Doppler (Approaching)
Computes the relativistic Doppler factor for an approaching source, f/f₀ = √((1 + β)/(1 − β)), from the velocity β = v/c; the result is the ratio between the observed and emitted frequency (blueshift). When a light source approaches the observer, the observed frequency increases (the light shifts toward blue). Unlike the sound Doppler, the relativistic Doppler includes the time dilation effect and depends only on the relative velocity, being symmetric between source and observer. For example, at β = 0.6 of approach, the observed frequency is twice the emitted (f/f₀ = 2). The approach and recession factors are reciprocal: approaching at 0.6c doubles the frequency, receding at 0.6c halves it. This effect is fundamental in astrophysics (measuring stellar and galactic velocities by the shift of spectral lines), in radars and in positioning systems. Enter the approach velocity β.
Relativistic Doppler (Receding)
Computes the relativistic Doppler factor for a receding source, f/f₀ = √((1 − β)/(1 + β)), from the velocity β = v/c; the result is the ratio between the observed and emitted frequency (redshift). When a light source recedes from the observer, the observed frequency decreases (the light shifts toward red). It is the reciprocal effect of the approach Doppler. For example, at β = 0.6 of recession, the observed frequency drops to half the emitted (f/f₀ = 0.5). The recession redshift is the basis of the discovery of the universe's expansion: distant galaxies show their spectral lines shifted to red, indicating they recede from us, with velocity proportional to distance (Hubble's law). In the laboratory, the same effect is used to measure velocities and for Doppler cooling of atoms. The formula includes relativistic time dilation, and the product of the approach and recession factors at the same velocity is exactly 1. Enter the recession velocity β.
Relativistic Kinetic Energy (in mc²)
Computes the relativistic kinetic energy in units of the rest energy, K/(mc²) = γ − 1 = 1/√(1 − β²) − 1, from the velocity β = v/c; the result is how many rest energies the kinetic energy is worth. In relativity, the kinetic energy is not ½mv² (valid only at low velocities), but rather (γ − 1)mc², where γ is the Lorentz factor. Expressing it as a multiple of the rest energy mc² gives a dimensionless value that depends only on the velocity. For example, at β = 0.6 (γ = 1.25), the kinetic energy is worth 0.25 mc² — a quarter of the rest energy. At low velocities, this value tends to ½β², recovering the classical expression; at velocities close to c, it grows without bound, since accelerating a massive particle to the speed of light would require infinite energy. This relation is essential in particle physics and accelerators, where kinetic energies reach thousands of times the rest energy. Enter the velocity β.
Relativistic Momentum (in mc)
Computes the relativistic momentum in units of mc, p/(mc) = γβ = β/√(1 − β²), from the velocity β = v/c; the result is the dimensionless momentum, in multiples of mc. The relativistic momentum is p = γmv, differing from the classical momentum mv by the Lorentz factor γ. Expressing it as a multiple of mc (rest energy divided by c) gives a quantity that depends only on the velocity. For example, at β = 0.6 (γ = 1.25), the momentum is worth 0.75 mc. At low velocities, p/(mc) ≈ β, recovering the classical momentum; as β approaches 1, the momentum grows without bound, even though the velocity cannot exceed c. It is precisely the momentum (and the energy), not the velocity, that grow indefinitely in ultrarelativistic particles. This quantity is central in particle physics, where momenta are measured in units of energy (MeV/c, GeV/c) and relate to the total energy by the energy-momentum relation. Enter the velocity β.
Rapidity
Computes the relativistic rapidity φ = ½·ln((1 + β)/(1 − β)) = arctanh(β), from the velocity β = v/c; the result is the dimensionless rapidity. Rapidity is an alternative measure of velocity in special relativity, defined as the inverse hyperbolic tangent of β. Its great advantage is being additive: while velocities compose by the complicated relativistic formula, rapidities simply add, like angles. Thus, rapidity plays in relativity the role the angle plays in rotations — a Lorentz transformation is a 'hyperbolic rotation' by an angle equal to the rapidity. For example, β = 0.6 corresponds to a rapidity of about 0.693. At low velocities, φ ≈ β; when β tends to 1, the rapidity tends to infinity, reflecting the impossibility of reaching the speed of light. Rapidity is widely used in high-energy particle physics, where rapidity differences are invariant under boosts along the beam axis. Enter the velocity β.
Velocity (from Rapidity)
Computes the velocity β = tanh(φ) as a fraction of the speed of light, from the rapidity φ; the result is β = v/c, between 0 and 1. It is the inverse form of rapidity: since rapidity is the inverse hyperbolic tangent of β, the velocity is the hyperbolic tangent of the rapidity. This relation is especially useful when working with rapidities (which add simply) and the corresponding physical velocity is wanted. For example, a rapidity φ = 0.693 corresponds to β = 0.6. Since the hyperbolic tangent saturates at 1, any finite rapidity produces a velocity less than c, and only infinite rapidity would give β = 1 — another way to see that the speed of light is unattainable. In problems with multiple Lorentz boosts, the rapidities are summed and the hyperbolic tangent is applied once at the end, obtaining the resulting velocity without repeatedly applying the velocity addition formula. Enter the rapidity φ.
Energy-Momentum Relation (E in mc²)
Computes the relativistic total energy in units of the rest energy, E/(mc²) = √(1 + (p/mc)²), from the momentum p expressed in units of mc; the result is how many rest energies the total energy is worth. This is the famous energy-momentum relation of relativity, E² = (pc)² + (mc²)², written in dimensionless form. It connects the total energy of a particle to its momentum and rest mass, and holds for any velocity. When the momentum is zero, E = mc² (pure rest energy); when the momentum is very large (ultrarelativistic particles), E ≈ pc, behaving like a massless particle (such as the photon, for which E = pc exactly). For example, a momentum of 0.75 mc gives a total energy of 1.25 mc². This relation is fundamental in particle physics, since energy and momentum are the quantities directly measured in colliders, and from it the rest mass (the 'invariant mass') of particles and resonances is extracted. Enter the momentum p in units of mc.
Specific Orbital Energy
Computes the specific orbital energy ε = −µ/(2a), from the standard gravitational parameter µ = GM (m³/s²) and the semi-major axis a (km); the result is in MJ/kg. The specific orbital energy is the total mechanical energy (kinetic plus potential) per unit mass of a body in orbit, and depends only on the semi-major axis of the orbit — not on the eccentricity. For closed orbits (ellipses and circles), it is negative, indicating that the body is gravitationally bound; the more negative, the lower and more bound the orbit. When the energy tends to zero, the orbit tends to the parabola (escape velocity); positive values correspond to hyperbolic escape trajectories. For example, an Earth orbit with a semi-major axis of 7,000 km has a specific energy of about −28.5 MJ/kg. This concept is central in orbital mechanics: from it the velocity at any point is obtained (vis-viva equation) and the energy needed to change orbit is computed. Enter µ and the semi-major axis.
Orbital Velocity (Vis-Viva)
Computes the orbital velocity by the vis-viva equation, v = √(µ(2/r − 1/a)), from the gravitational parameter µ = GM (m³/s²), the radial distance r to the centre of the body (km) and the semi-major axis a (km); the result is in km/s. The vis-viva equation is one of the most useful relations in orbital mechanics: it gives the velocity of a body at any point of its orbit, knowing the current distance to the focus and the semi-major axis. It follows directly from energy conservation and shows that the velocity is maximum at periapsis (minimum r) and minimum at apoapsis (maximum r). For a circular orbit (r = a), it reduces to v = √(µ/r); for r = a in any ellipse, it gives the mean velocity. For example, at 7,000 km radius in an orbit of semi-major axis 8,000 km, the velocity is about 8.0 km/s. Vis-viva is the basic tool for computing velocities in orbital manoeuvres, transfers and re-entries. Enter µ, the radial distance and the semi-major axis.
Geostationary Orbit Altitude
Computes the altitude of a geostationary (or geosynchronous) orbit, h = ∛(µT²/4π²) − R, from the gravitational parameter µ = GM (m³/s²), the orbital period T (s) and the body radius R (km); the result is the altitude above the surface, in km. A geostationary orbit is one whose orbital period equals the planet's rotation period (for Earth, a sidereal day of 86,164 s), so the satellite remains fixed over the same point of the equator. By Kepler's third law, the corresponding orbital radius is the cube root of µT²/4π², and the altitude is this radius minus the planet's radius. For Earth, the result is about 35,786 km of altitude. This orbit is fundamental for telecommunications, meteorology and broadcasting satellites, as it allows fixed ground antennas pointed at a constant position in the sky. The same calculation, with the sidereal period of other planets, gives their stationary orbits. Enter µ, the orbital period and the body radius.
Hohmann Transfer Delta-V (First Burn)
Computes the velocity increment of the first burn of a Hohmann transfer, Δv₁ = √(µ/r₁)·(√(2r₂/(r₁+r₂)) − 1), from the gravitational parameter µ = GM (m³/s²), the initial orbit radius r₁ (km) and the final orbit radius r₂ (km); the result is in km/s. The Hohmann transfer is the most fuel-efficient manoeuvre to move a vehicle between two coplanar circular orbits, using a transfer ellipse tangent to both. The first burn, at the periapsis of the ellipse (inner orbit), accelerates the vehicle from the initial circular velocity to the velocity needed on the transfer ellipse — this is the Δv₁ computed here. A second burn, at apoapsis, circularises at the final orbit. For example, from a low orbit (7,000 km) to geostationary (~42,164 km), the first burn requires about 2.3 km/s. The total delta-V is the sum of the two burns and determines the fuel needed by the rocket equation. It is a central calculation in space mission planning. Enter µ, the initial radius and the final radius.
Periapsis Velocity
Computes the velocity at periapsis (closest point) of an elliptical orbit, vp = √(µ(1 + e)/(a(1 − e))), from the gravitational parameter µ = GM (m³/s²), the semi-major axis a (km) and the eccentricity e; the result is in km/s. The periapsis is the orbit point closest to the central body (perigee, for Earth; perihelion, for the Sun), and is where the body moves fastest, by conservation of angular momentum. The greater the eccentricity, the greater the difference between the velocities at periapsis and apoapsis. This formula derives from vis-viva evaluated at r = a(1 − e). For example, an orbit of semi-major axis 8,000 km and eccentricity 0.1 has a periapsis velocity of about 7.8 km/s. Knowing the periapsis velocity is important for planning orbital insertions, captures and manoeuvres, which typically occur at this point for energy efficiency (Oberth effect). Enter µ, the semi-major axis and the eccentricity.
Apoapsis Velocity
Computes the velocity at apoapsis (farthest point) of an elliptical orbit, va = √(µ(1 − e)/(a(1 + e))), from the gravitational parameter µ = GM (m³/s²), the semi-major axis a (km) and the eccentricity e; the result is in km/s. The apoapsis is the orbit point farthest from the central body (apogee, for Earth; aphelion, for the Sun), and is where the body moves slowest, by conservation of angular momentum. This formula derives from vis-viva evaluated at r = a(1 + e), and is symmetric to the periapsis one with the signs of e swapped. For example, an orbit of semi-major axis 8,000 km and eccentricity 0.1 has an apoapsis velocity of about 6.4 km/s — less than the periapsis one. The apoapsis is the preferred point for burns that raise the periapsis (circularising a transfer orbit) or that adjust the orbit at lower cost. The ratio between periapsis and apoapsis velocities is (1 + e)/(1 − e). Enter µ, the semi-major axis and the eccentricity.
Eccentricity (from Apsides)
Computes the eccentricity of an orbit from the apsis radii, e = (ra − rp)/(ra + rp), from the apoapsis radius ra and the periapsis radius rp (in the same unit); the result is the dimensionless eccentricity. The eccentricity quantifies how much an orbit deviates from the circular form: e = 0 is a perfect circle; 0 < e < 1 is an ellipse; e = 1 is a parabola; e > 1, a hyperbola. Knowing the apsis radii — apoapsis (farthest point) and periapsis (closest) —, the eccentricity is the ratio between the difference and the sum of these radii. For example, an apoapsis of 8,800 km and a periapsis of 7,200 km give an eccentricity of 0.10. This is the most practical way to determine the eccentricity by observing the orbit extremes. The apsis radii relate to the semi-major axis by a = (ra + rp)/2. The eccentricity is one of the six classical orbital elements that completely define an orbit. Enter the apoapsis and periapsis radii.
Apoapsis Radius
Computes the apoapsis radius of an elliptical orbit, ra = a(1 + e), from the semi-major axis a (km) and the eccentricity e; the result is the maximum distance to the focus, in km. The apoapsis is the orbit point farthest from the central body, and its radius is the semi-major axis increased proportionally to the eccentricity. For a circle (e = 0), the apoapsis radius equals the semi-major axis; the greater the eccentricity, the farther the apoapsis. For example, an orbit of semi-major axis 8,000 km and eccentricity 0.1 has an apoapsis radius of 8,800 km. Together with the periapsis radius rp = a(1 − e), the apoapsis completely defines the size and shape of the orbit: the sum of the two is the major axis (2a), and the semi-major axis is the average of the two. Knowing the apoapsis radius is essential for determining a satellite's maximum altitude, planning manoeuvres at this point and checking that the orbit avoids obstacles (atmosphere, radiation belts, other bodies). Enter the semi-major axis and the eccentricity.
Periapsis Radius
Computes the periapsis radius of an elliptical orbit, rp = a(1 − e), from the semi-major axis a (km) and the eccentricity e; the result is the minimum distance to the focus, in km. The periapsis is the orbit point closest to the central body, and its radius is the semi-major axis reduced proportionally to the eccentricity. For a circle (e = 0), the periapsis radius equals the semi-major axis; the greater the eccentricity, the closer the periapsis. For example, an orbit of semi-major axis 8,000 km and eccentricity 0.1 has a periapsis radius of 7,200 km. The periapsis radius is critical for orbit safety: if it is less than the body radius (plus the atmosphere), the orbit intercepts the surface and there is re-entry or impact. In aerobraking manoeuvres, the periapsis is deliberately lowered to the upper atmosphere to reduce energy. Together with the apoapsis, it defines the complete geometry of the orbit. Enter the semi-major axis and the eccentricity.
Hohmann Transfer Time
Computes the time of a Hohmann transfer, t = π√(at³/µ), from the gravitational parameter µ = GM (m³/s²), the initial orbit radius r₁ (km) and the final orbit radius r₂ (km); the result is in minutes. The transfer time is half the period of the transfer ellipse, whose semi-major axis is the average of the two orbital radii, at = (r₁ + r₂)/2. Since the Hohmann transfer traverses exactly half an ellipse — from periapsis (inner orbit) to apoapsis (outer orbit) —, its duration is half the complete orbital period of this ellipse. For example, transferring from a low orbit (7,000 km) to geostationary (~42,164 km) takes about 5.3 hours. This time is fundamental in mission planning: it determines when the second burn will occur and requires the target body to be in the correct position at the moment of arrival (the problem of the launch window and phase angle). It is an essential calculation in astrodynamics and space operations. Enter µ, the initial radius and the final radius.
Material Price Variance
Computes the material price variance MPV = (actual price − standard price) × actual quantity purchased, from the actual price paid per unit, the budgeted standard price and the actual quantity acquired; the result is the cost difference attributable to the price variation. Variance analysis is the heart of standard costing: it compares the actual cost incurred with the predefined standard cost and decomposes the difference into causes. The material price variance isolates the effect of paying more (or less) per unit of raw material than budgeted, keeping the quantity at actual. A positive variance (higher actual price) is unfavourable and indicates spending above standard — due to inflation, loss of negotiating power or a more expensive supplier; a negative variance is favourable. For example, paying $5.20 instead of $5.00 for 1,000 units generates an unfavourable variance of $200. This analysis is the typical responsibility of the purchasing department and guides negotiations and supplier selection. Enter the actual price, the standard price and the actual quantity.
Material Quantity Variance
Computes the material quantity (or usage) variance MQV = (actual quantity − standard quantity) × standard price, from the actual quantity consumed, the standard quantity expected for the production and the standard price per unit; the result is the cost difference attributable to material consumption. This variance isolates the effect of using more (or less) raw material than the standard established for the produced volume, keeping the price fixed at standard. A positive variance (higher actual consumption) is unfavourable and points to waste, scrap, low material quality or process inefficiency; a negative variance is favourable. For example, consuming 1,000 units when the standard was 950, at a standard price of $5.00, generates an unfavourable variance of $250. Unlike the price variance (purchasing responsibility), the quantity variance is the responsibility of production, and guides process improvement actions and loss control. Enter the actual quantity, the standard quantity and the standard price.
Labor Rate Variance
Computes the labor rate variance LRV = (actual rate − standard rate) × actual hours worked, from the actual hourly rate, the standard hourly rate and the actual hours; the result is the cost difference attributable to the labour price. Analogous to the material price variance, this variance isolates the effect of paying an hourly rate different from the budgeted one, keeping the hours fixed at actual. A positive variance (higher actual rate) is unfavourable and may result from overtime, use of more qualified (and expensive) workers than expected, wage agreements or budgeting error; a negative variance is favourable. For example, paying $22 instead of $20 per hour for 500 hours generates an unfavourable variance of $1,000. The rate variance is typically the responsibility of human resources management and supervision, who decide the allocation and remuneration of labour. Together with the efficiency variance, it makes up the total direct labour variance. Enter the actual rate, the standard rate and the actual hours.
Labor Efficiency Variance
Computes the labor efficiency variance LEV = (actual hours − standard hours) × standard rate, from the actual hours worked, the standard hours expected for the production and the standard hourly rate; the result is the cost difference attributable to labour productivity. Analogous to the material quantity variance, this variance isolates the effect of spending more (or less) hours than the standard to produce the realised volume, keeping the rate fixed at standard. A positive variance (more hours than standard) is unfavourable and points to low productivity, rework, stoppages, insufficient training or equipment problems; a negative variance is favourable. For example, spending 500 hours when the standard was 480, at a standard rate of $20, generates an unfavourable variance of $400. The efficiency variance is the responsibility of production and supervision, and is a central indicator of direct labour productivity. Together with the rate variance, it decomposes the total labour variance. Enter the actual hours, the standard hours and the standard rate.
Predetermined Overhead Rate
Computes the predetermined manufacturing overhead rate = budgeted overhead / budgeted allocation base, from the total budgeted indirect costs and the budgeted allocation base (machine hours, labour hours, units, etc.); the result is the overhead application rate per unit of the base. Since indirect costs (energy, supervision, depreciation, maintenance) cannot be directly attributed to each product, they are applied to products through a predetermined rate, computed at the start of the period from budget estimates. For example, $100,000 of budgeted overhead divided by 20,000 budgeted machine hours results in $5.00 per machine hour. This rate allows costing products throughout the period without waiting for the actual cost close, enabling timely pricing and control. The choice of allocation base (which must bear a causal relationship with the consumption of indirect resources) is a central decision of the costing system. Enter the budgeted overhead and the allocation base.
Applied Overhead
Computes the applied overhead = predetermined overhead rate × actual allocation base, from the predetermined indirect cost rate and the actual quantity of the allocation base (actual machine hours, for example); the result is the amount of indirect costs attributed to production in the period. After the predetermined rate is defined (at the start of the period), overhead is applied to products by multiplying this rate by the actual base effectively consumed. For example, a rate of $5.00 per machine hour applied to 21,000 actual machine hours results in $105,000 of applied overhead. This value is what enters the cost of manufactured products. Since the rate is based on estimates and the actual base differs from the budgeted one, the applied overhead almost never exactly matches the actual overhead incurred — the difference is the overhead variance (over- or under-application), handled at the close. The applied overhead is essential for absorption costing and inventory valuation. Enter the predetermined rate and the actual allocation base.
Overhead Variance (Over/Under-Applied)
Computes the overhead variance = applied overhead − actual overhead, from the overhead applied to products and the actual overhead effectively incurred; the result indicates the over- or under-application of indirect costs. Since overhead is applied by a predetermined rate based on estimates, there is almost always a difference between what was applied to products and what was actually spent. When the applied overhead exceeds the actual (positive variance), there was over-application — more cost was applied to products than incurred; when the applied is lower (negative variance), there was under-application. For example, $105,000 applied against $102,000 actual results in an over-application of $3,000. This variance must be adjusted at the period close: small differences go to the cost of goods sold; large differences are allocated between inventories and COGS. The overhead variance signals estimation errors in the rate or base and differences between the actual and budgeted volume. Enter the applied overhead and the actual overhead.
Standard Unit Cost
Computes the standard unit cost = direct material cost + direct labour cost + manufacturing overhead (overhead) per unit, from the three standard cost components per unit; the result is the total standardised cost of producing one unit. The standard unit cost is the reference for how much it should cost to manufacture one unit under normal and efficient operating conditions. It sums the three elements of production cost: direct material (raw material incorporated into the product), direct labour (work directly applied) and overhead (allocated indirect costs). For example, $10 of material, $8 of labour and $5 of overhead result in a standard unit cost of $23. This value is the basis of standard costing: it serves to value inventories, set selling prices (applying the markup), prepare budgets and, mainly, compare with actual costs to determine variances. A well-established standard cost (from engineering studies and history) is fundamental for cost control and decision making. Enter the material, labour and overhead costs.
Activity-Based Cost Allocation
Computes the cost allocated to an object by the ABC method = total activity cost × (object's driver / total driver), from the total activity cost, the quantity of the driver consumed by the object and the total driver; the result is the cost portion attributed to that product, service or customer. Activity-based costing (ABC) allocates indirect costs more precisely than traditional allocation, using cost drivers that reflect the real demand of each object for an activity — number of setups, purchase orders, inspections, engineering hours. The fraction of the driver consumed by the object multiplied by the total activity cost gives the allocated cost. For example, an activity of $100,000 with a product consuming 200 of a total of 1,000 driver units receives $20,000. ABC reduces the distortions of volume-based allocation, revealing products that seem profitable but consume many activities. It is fundamental for mix decisions, pricing and process improvement. Enter the activity cost, the object's driver and the total driver.
Conversion Cost
Computes the conversion cost = direct labour + manufacturing overhead, from the direct labour cost and the overhead; the result is the cost of transforming raw material into finished product. The conversion cost represents all costs necessary to convert direct materials into finished products — that is, everything except the direct material itself. It aggregates the direct labour (the work applied in the transformation) and the manufacturing overhead (energy, depreciation, supervision, maintenance). For example, $8 of labour and $5 of overhead result in a conversion cost of $13. This concept is especially useful in process costing, in continuous production industries, where labour and indirect costs are often incurred uniformly throughout the process and treated together. The conversion cost, added to the direct material, makes up the total production cost, and is a key measure of the efficiency of industrial transformation. Enter the direct labour and the overhead.
Straight-Line Depreciation
Computes the annual depreciation by the straight-line method, D = (cost − salvage value)/useful life, from the acquisition cost, the salvage value at end of life and the useful life in years; the result is the constant depreciation amount per year. The straight-line method is the simplest and most used depreciation method: it equally distributes the asset's loss of value over its entire useful life. The depreciable base (cost minus salvage value) is divided by the number of years, resulting in an identical depreciation expense in each period. For example, equipment of $50,000 with a salvage value of $5,000 and 10 years of life depreciates $4,500 per year. It is widely adopted in accounting and engineering economics for its simplicity and because it well reflects assets whose utility is uniform over time. Depreciation is a non-cash expense that reduces taxable income and recovers the investment over the asset's life. Enter the cost, the salvage value and the useful life.
Book Value (Straight-Line)
Computes the book value of an asset after t years of straight-line depreciation, BV = cost − [(cost − salvage)/life] × t, from the cost, the salvage value, the useful life and the number of elapsed years; the result is the asset's net value in the books. The book value (or net book value) is how much the asset is still worth in accounting after deducting the accumulated depreciation. In straight-line depreciation, a constant amount is subtracted each year, so the book value decreases in a straight line from the acquisition cost to the salvage value at the end of useful life. For example, an asset of $50,000 (salvage $5,000, life 10 years) has a book value of $36,500 after 3 years. The book value is used in balance sheets, in determining gains or losses on the sale of the asset (comparing with the sale price) and in replacement decisions. It should not be confused with the market value, which can differ considerably. Enter the cost, the salvage, the life and the elapsed years.
Straight-Line Depreciation Rate
Computes the annual straight-line depreciation rate = (1/useful life) × 100, from the useful life in years; the result is in % per year. The straight-line depreciation rate is the fraction of the depreciable value that depreciates each year, and is simply the inverse of the useful life expressed as a percentage. For example, an asset with a useful life of 10 years has a depreciation rate of 10% per year; one of 5 years, 20% per year. This rate is defined by tax legislation for various categories of goods (tax authorities publish useful life periods and rates for machinery, vehicles, buildings, computers, etc.), and is used to compute the deductible depreciation expense. Knowing the rate allows checking tax compliance, comparing the depreciation speed between asset categories and planning the recovery of the investment. Multiplied by the depreciable base (cost minus salvage), it directly gives the annual depreciation. Enter the useful life.
Sum-of-Years'-Digits Depreciation
Computes the depreciation of a year by the sum-of-years'-digits method, D_t = (cost − salvage) × (life − t + 1) / [life(life + 1)/2], from the cost, the salvage value, the useful life and the year t; the result is the accelerated depreciation of that period. The sum-of-years'-digits method (SOYD) is an accelerated depreciation method: it depreciates more in the early years and less in the later ones, reflecting assets that lose value or utility more quickly at the start. The denominator is the sum of the digits of the years of life (for 10 years, 1+2+...+10 = 55), and the numerator uses the remaining years in decreasing order. Thus, in the first year of a 10-year asset, 10/55 of the base is depreciated; in the second, 9/55; and so on. For example, a base of $45,000 in year 1 depreciates 45,000 × 10/55 = $8,181.82. Accelerated depreciation brings forward the tax deduction, improving cash flow in the early years. It is used when allowed by legislation and for technology assets with rapid obsolescence. Enter the cost, the salvage, the life and the year.
Double Declining Balance Depreciation
Computes the depreciation of a year by the double declining balance method, D_t = cost × (2/life) × (1 − 2/life)^(t−1), from the cost, the useful life and the year t; the result is the accelerated depreciation of that period. The double declining balance method applies a fixed rate — twice the straight-line rate (2/life) — on the remaining book value each year, not on a fixed depreciable base. As the book value decreases each period, the depreciation also decreases year by year, generating strong acceleration at the start. For example, an asset of $50,000 with a 10-year life has a rate of 20%: in year 1 it depreciates $10,000; in year 2, on the balance of $40,000, it depreciates $8,000. It is the most common accelerated depreciation method in international accounting, advantageous for deferring taxes. In practice, one usually switches to the straight-line method at the point where it depreciates more, and the salvage value is respected as a floor. Enter the cost, the life and the year.
Double Declining Balance Rate
Computes the double declining balance method rate = (2/useful life) × 100, from the useful life in years; the result is in % per year. This rate is twice the straight-line depreciation rate, hence the name 'double'. It is applied to the asset's remaining book value each year (not to a fixed depreciable base), producing accelerated depreciation that is high at the start and decreases over time. For example, an asset with a useful life of 10 years has a straight-line rate of 10% and a double declining balance rate of 20% per year. Knowing this rate is the first step to apply the method: multiplied by the book value at the start of each period, it gives that year's depreciation. The choice of factor (here 2, but 1.5 — 150% declining balance — can be used) determines the degree of acceleration. It is widely used in international accounting and tax planning to bring forward deductions. Enter the useful life.
Units of Production Depreciation
Computes the depreciation by the units of production method, D = [(cost − salvage)/total capacity] × units of the period, from the cost, the salvage value, the total production capacity over the life and the units produced in the period; the result is the depreciation proportional to usage. Unlike time-based methods, the units of production method links depreciation to the actual use of the asset: first the depreciation per unit is computed (depreciable base divided by the estimated total production), and then it is multiplied by the units actually produced in the period. For example, an asset of $50,000 (salvage $5,000) with a capacity of 100,000 units depreciates $0.45 per unit; producing 8,000 units in the year, it depreciates $3,600. This method is most suitable for assets whose wear depends more on use than on the passage of time — machines, vehicles by mileage, mining equipment. It makes the depreciation expense follow the revenue generated by production. Enter the cost, the salvage, the total capacity and the units of the period.
Accumulated Depreciation (Straight-Line)
Computes the accumulated depreciation after t years in the straight-line method, AD = [(cost − salvage)/life] × t, from the cost, the salvage value, the useful life and the number of elapsed years; the result is the sum of the depreciations of all periods up to year t. The accumulated depreciation is a contra-asset account on the balance sheet: it represents the total already depreciated since acquisition. In the straight-line method, since the annual amount is constant, the accumulated is simply the annual depreciation multiplied by the number of elapsed years. For example, an asset of $50,000 (salvage $5,000, life 10 years) accumulates $13,500 of depreciation after 3 years. The acquisition cost minus the accumulated depreciation results in the net book value. Tracking the accumulated depreciation is important for preparing balance sheets, computing gains or losses on asset disposal and managing fixed assets. It grows linearly until reaching, at the end of useful life, the total depreciable base (cost minus salvage). Enter the cost, the salvage, the life and the elapsed years.
Depreciable Base
Computes the depreciable base = acquisition cost − salvage value, from the cost and the estimated salvage value; the result is the total amount that will be depreciated over the asset's useful life. The depreciable base is the starting point of almost all depreciation methods: it represents the portion of the asset's cost that is effectively lost with use, since the salvage value (how much is expected to be recovered at the end, through sale or scrap) is not depreciated. For example, equipment of $50,000 with an estimated salvage value of $5,000 has a depreciable base of $45,000. This base is distributed over time (straight-line, sum-of-years'-digits) or over production (units of production). In the declining balance method, although the calculation starts from the total cost, the salvage value acts as a floor, ensuring the accumulated depreciation does not exceed the base. Estimating the salvage value correctly is important: underestimating it inflates depreciation, and overestimating it reduces it. Enter the cost and the salvage value.
Useful Life (from Depreciation)
Computes the implied useful life = (cost − salvage value) / annual depreciation, from the cost, the salvage value and the annual depreciation amount (straight-line); the result is the number of years of the asset's useful life. It is the inverse form of straight-line depreciation: knowing the annual depreciation expense applied and the depreciable base (cost minus salvage), the number of years the asset will take to be fully depreciated is determined. For example, a base of $45,000 with an annual depreciation of $4,500 corresponds to a useful life of 10 years. This calculation is useful for checking the consistency of a depreciation policy, verifying whether the adopted rate is aligned with the asset's real useful life and comparing the accounting depreciation with the expected economic life. It also helps audit fixed-asset records and check compliance with allowed tax rates. If the implied useful life diverges greatly from the real economic life, depreciation may be distorting the result and the value of the assets on the balance sheet. Enter the cost, the salvage value and the annual depreciation.
Repair Rate (µ)
Computes the repair rate µ = 1/MTTR, from the mean time to repair MTTR (in hours); the result is the mean number of repairs completed per hour. The repair rate is the maintenance analogue of a queue's service rate: it measures how quickly a failed item is restored to operation. It is the inverse of the mean time to repair (MTTR), just as the failure rate is the inverse of the mean time between failures. A high repair rate indicates agile maintenance (low MTTR), which contributes directly to system availability. For example, an MTTR of 4 hours corresponds to a repair rate of 0.25 repairs per hour. The repair rate is used in availability models, in reliability Markov chains (transitions between operational and under-repair states) and in maintainability analysis. Together with the failure rate, it determines the steady-state availability of a repairable system. Enter the mean time to repair.
Maintainability M(t)
Computes the maintainability M(t) = 1 − e^(−t/MTTR), from the available repair time t and the mean time to repair MTTR (in the same unit); the result is the probability that the repair is completed by time t. Maintainability is the maintenance-oriented counterpart of reliability: while reliability measures the probability of not failing up to a time, maintainability measures the probability of restoring operation within a deadline. Assuming exponential repair times, it grows from zero (at t=0) asymptotically to 1, as more time is made available. For example, with MTTR = 4 hours and an 8-hour deadline, the probability of completing the repair is about 86.5%. Maintainability is used to set repair targets, size maintenance teams and resources, and assess service level agreements that specify restoration deadlines. It is a design attribute: equipment can be designed for faster repairs (access, modularity, diagnostics). Enter the available time and the MTTR.
MTTF (Mean Time To Failure)
Computes the mean time to failure MTTF = total operating time / number of failures, from the total accumulated operating time and the number of observed failures; the result is the mean time an item operates until it fails. The MTTF (Mean Time To Failure) is the reliability metric used for non-repairable items — components that are discarded and replaced upon failure, such as bulbs, bearings or semiconductors. Unlike the MTBF (between failures), which applies to repairable items and includes the repair time in the cycle, the MTTF refers to the lifetime until the first (and only) failure. It is computed by dividing the total operating hours of a set of items by the number of failures that occurred. For example, 10,000 accumulated item-hours with 5 failures give an MTTF of 2,000 hours. The MTTF is fundamental for specifying the expected useful life, planning replacements and comparing component reliability. Enter the total operating time and the number of failures.
Expected Number of Failures
Computes the expected number of failures in a period, Nf = operating time / MTBF, from the operating time in the period and the mean time between failures MTBF (in the same unit); the result is the mean quantity of predicted failures. This calculation projects how many failures, on average, an item or system should present over a time interval, based on its historical failure rate. It is the direct application of the failure rate (1/MTBF) multiplied by the duration: for example, equipment with an MTBF of 2,000 hours operating 8,760 hours per year should fail about 4.38 times a year. The expected number of failures is essential in maintenance planning: it sizes the spare parts inventory, the maintenance team's workload, the expected repair costs and the need for redundancy. It is also the basis for estimating the total downtime and failure costs over a planning horizon. Enter the operating time and the MTBF.
Total Downtime
Computes the expected total downtime, Dt = number of failures × MTTR, from the expected number of failures in the period and the mean time to repair MTTR; the result is the total time the system is unavailable for repairs. The total downtime aggregates the impact of all predicted failures: each failure takes the system out of operation for a mean time equal to the MTTR, and the sum of these periods is the total unavailability time over the considered horizon. For example, 4.38 failures per year with an MTTR of 4 hours result in about 17.5 hours of annual downtime. This value is crucial for quantifying production losses, assessing compliance with availability targets and computing contractual penalties. Reducing the total downtime requires increasing reliability (fewer failures) or maintainability (faster repairs) — or both. It is the metric that connects reliability and maintainability to the concrete operational impact. Enter the number of failures and the MTTR.
Life Cycle Cost (LCC)
Computes the life cycle cost LCC = acquisition cost + (annual operating cost + annual maintenance cost) × years of life, from the initial acquisition cost, the annual operating and maintenance costs and the useful life in years; the result is the total cost of ownership over the asset's entire life. The life cycle cost is a central concept in asset management: it recognises that the purchase price is only a fraction of the real cost of equipment. The operating costs (energy, supplies, labour) and maintenance costs (preventive, corrective, parts) accumulated over years often far exceed the initial investment. Evaluating the LCC enables sounder purchase decisions: more expensive but more efficient and reliable equipment may have a lower life cycle cost. It is widely used in capital purchases, comparison of alternatives and justification of reliability investments. This version uses undiscounted costs; more complete analyses bring costs to present value. Enter the costs and the useful life.
Expected Failure Cost
Computes the expected failure cost = number of failures × cost per failure, from the expected number of failures in the period and the average cost of each failure; the result is the total predicted cost associated with failures. The cost per failure aggregates everything a failure entails: parts, repair labour, production loss during downtime, possible secondary damage, fines and quality impact. Multiplying this cost by the expected number of failures in the period gives the total failure cost — an essential estimate for budgeting maintenance and justifying reliability investments. For example, 4.38 failures per year at $800 each represent about $3,504 annually. Comparing the expected failure cost with the cost of preventive measures (scheduled maintenance, redundancy, design improvement) is the basis of the economic decision in maintenance engineering: one invests in prevention up to the point where the marginal cost of preventing equals the marginal cost of the failures avoided. Enter the number of failures and the cost per failure.
Maintenance Cost per Hour
Computes the maintenance cost per operating hour = total maintenance cost / operating hours, from the total maintenance cost in the period and the operating hours in the same period; the result is the maintenance cost per operated hour. This indicator normalises maintenance spending by the actual equipment utilisation, allowing comparison of assets with different usage regimes and identifying the most costly per productive hour. For example, $5,000 of maintenance for 8,000 operating hours results in $0.625 per hour. It is an asset-management metric used for production costing (the maintenance cost per hour enters the machine's hourly cost), for tracking the evolution of spending and for detecting end-of-life equipment, whose cost per hour tends to grow (indicating the economic moment for replacement). It also feeds outsourcing decisions and maintenance policy (preventive versus corrective). Enter the total maintenance cost and the operating hours.
Operational Availability
Computes the operational availability Ao = operating time / (operating time + downtime) × 100, from the total time the system operated and the total downtime (including repairs, waits and logistics); the result is in %. The operational availability is the most comprehensive availability measure, since it considers the real and total downtime — not only the active repair time, but also administrative and logistic delays (waiting for parts, technicians, authorisation). Therefore it is usually lower than the inherent availability, which considers only the repair time. For example, 8,000 hours of operation against 200 hours of total downtime give an operational availability of 97.56%. It reflects the real user experience and is the metric used in availability contracts and in performance evaluations of fleets, plants and systems. Improving it requires tackling not only the repair speed, but the entire maintenance logistic support chain. Enter the operating time and the downtime.
Mean Time To Repair (from µ)
Computes the mean time to repair MTTR = 1/µ, from the repair rate µ (repairs per hour); the result is the mean time to restore an item to operation, in hours. It is the inverse form of the repair rate: knowing the repair capacity of a team or process (how many repairs it can complete per hour), the mean time each repair takes is obtained. For example, a repair rate of 0.25 repairs per hour corresponds to an MTTR of 4 hours. The mean time to repair (Mean Time To Repair) is the main maintainability metric: the lower it is, the faster the system returns to operation after a failure, and the higher the availability. The MTTR encompasses the time for diagnosis, obtaining parts, executing the repair and testing. Reducing it is a central objective of maintenance engineering, achieved through better design (ease of access and replacement), faster diagnosis, procedure standardisation and parts availability. Enter the repair rate.
M/M/1 — Mean Number in System (L)
Computes the mean number of customers in the system of an M/M/1 queue, L = λ/(µ − λ), from the arrival rate λ and the service rate µ (in the same time unit); the result is the mean number of customers present (in the queue plus the one being served). The M/M/1 model describes a system with Poisson arrivals, exponential service times and a single server. The mean number in system L grows non-linearly with the utilisation ρ = λ/µ: as ρ approaches 1, L tends to infinity, reflecting the sharp deterioration in performance of heavily loaded queues. For example, with λ = 6 and µ = 10 (ρ = 0.6), there are on average 1.5 customers in the system. L is one of the four fundamental operational metrics of queueing theory, along with Lq, W and Wq, all related by Little's law. It is used to size capacity, waiting space and service level in service queues, manufacturing and computer systems. Enter λ and µ (with µ > λ).
M/M/1 — Mean Number in Queue (Lq)
Computes the mean number of customers waiting in the queue of an M/M/1 system, Lq = λ²/(µ(µ − λ)), from the arrival rate λ and the service rate µ; the result is the mean number of customers in the waiting line, excluding the one in service. While L counts all customers in the system, Lq counts only those waiting for service — the difference between the two is the utilisation ρ (the average fraction of time the server is busy, equal to the mean number in service). Lq also grows abruptly as the utilisation approaches 1. For example, with λ = 6 and µ = 10, there are on average 0.9 customers waiting in the queue. Lq is especially relevant for sizing the physical waiting space (seats, area, slots) and for assessing the customer experience, since waiting time is often the most critical aspect of perceived quality. It is also computable by Little's law from the waiting time Wq. Enter λ and µ (with µ > λ).
M/M/1 — Mean Time in System (W)
Computes the mean time a customer spends in the system of an M/M/1 queue, W = 1/(µ − λ), from the arrival rate λ and the service rate µ; the result is the mean total time (waiting in queue plus service) in the same time unit as the rates. The time in system W is one of the most important metrics for the customer, as it corresponds to the total perceived time from arrival to departure. It depends on the slack between service capacity and demand (µ − λ): the smaller this slack, the longer the time. For example, with λ = 6 and µ = 10 per hour, W = 0.25 hour (15 minutes). As the utilisation approaches 1, W grows rapidly, showing why operating a queue close to maximum capacity leads to unacceptable response times. W relates to the number in system L by Little's law (L = λW), and to the waiting time Wq by the relation W = Wq + 1/µ. It is essential for setting service level targets. Enter λ and µ (with µ > λ).
M/M/1 — Probability of Empty System (P₀)
Computes the probability that the system is empty in an M/M/1 queue, P₀ = 1 − λ/µ, from the arrival rate λ and the service rate µ; the result is the probability of having no customers in the system. P₀ is the complement of the utilisation (P₀ = 1 − ρ): if the server is busy a fraction ρ of the time, it is idle (empty system) the fraction 1 − ρ. For example, with λ = 6 and µ = 10, the utilisation is 0.6 and P₀ = 0.4 — the system is empty 40% of the time. P₀ is the base probability from which all other queue state probabilities are computed (Pₙ = P₀·ρⁿ). Knowing P₀ is useful for assessing server idleness and the balance between capacity cost and service level: a high P₀ indicates an underused resource, while a very low P₀ indicates an overloaded system with long queues. It is a fundamental metric in queue analysis and server sizing. Enter λ and µ (with µ > λ).
M/M/1 — Probability of n Customers (Pₙ)
Computes the probability of having exactly n customers in the system of an M/M/1 queue, Pₙ = (1 − λ/µ)·(λ/µ)ⁿ, from the arrival rate λ, the service rate µ and the number of customers n; the result is the state probability. The distribution of the number of customers in an M/M/1 system in steady state is geometric: the probability of n customers decays exponentially with n, weighted by the utilisation ρ = λ/µ. P₀ = 1 − ρ is the probability of an empty system, and each additional state is multiplied by ρ. For example, with λ = 6, µ = 10 (ρ = 0.6) and n = 2, the probability is 0.4·0.36 = 0.144. These state probabilities answer practical questions such as the chance the system is full up to a certain capacity, the probability of a customer finding a queue on arrival (PASTA) and the sizing of waiting areas with a given confidence level. It is the complete probabilistic basis of the M/M/1 model. Enter λ, µ and n.
M/M/1 — Probability of n or More (P≥ₙ)
Computes the probability of having n or more customers in the system of an M/M/1 queue, P(≥n) = (λ/µ)ⁿ, from the arrival rate λ, the service rate µ and the number n; the result is the cumulative tail probability. In an M/M/1 system, the probability of the number of customers reaching or exceeding a value n is simply the utilisation raised to n — an elegant consequence of the geometric distribution of states. For example, with λ = 6, µ = 10 (ρ = 0.6) and n = 2, the probability of having 2 or more customers is 0.36. This tail probability is very useful in sizing waiting capacity: to ensure the queue rarely exceeds a certain size (for example, number of seats, buffer positions or slots), one computes the n for which P(≥n) falls below an acceptable limit. It is widely applied in the design of computer systems (buffer sizes, message queues) and service systems (waiting room sizing). Enter λ, µ and n.
M/M/1 — Probability of n or Fewer (P≤ₙ)
Computes the probability of having n or fewer customers in the system of an M/M/1 queue, P(≤n) = 1 − (λ/µ)^(n+1), from the arrival rate λ, the service rate µ and the number n; the result is the cumulative probability. It is the complement of the tail probability: while P(≥n+1) = ρ^(n+1) gives the chance of exceeding n, P(≤n) = 1 − ρ^(n+1) gives the chance the system contains at most n customers. For example, with λ = 6, µ = 10 (ρ = 0.6) and n = 2, the probability of having 2 or fewer customers is 1 − 0.6³ = 0.784. This cumulative probability is the direct way to answer service-level questions of the type 'what is the chance the system does not exceed a certain occupancy', essential for sizing capacity with margin and ensuring a desired fraction of customers served without excessive waiting. It is used in the design of capacity-limited queues, buffers and service levels. Enter λ, µ and n.
Little's Law — Mean Number (L = λW)
Computes the mean number of items in a system by Little's law, L = λ × W, from the mean arrival rate λ and the mean time in system W; the result is the mean number of items present. Little's law is one of the most general and powerful results of queueing theory: it holds for any stable system in steady state, regardless of the arrival or service distributions, the number of servers or the queue discipline. It states that the mean number of items in a system equals the arrival rate multiplied by the mean time each item stays in it. For example, if 6 customers arrive per hour and each stays on average 0.25 hour, there are on average 1.5 customers in the system. Because of its generality, Little's law is applied far beyond queues: inventories (items × residence time), agile projects (work in progress = throughput × lead time), networks and business processes. It is an essential operational analysis tool. Enter λ and W.
Little's Law — Mean Time (W = L/λ)
Computes the mean time in a system by Little's law, W = L/λ, from the mean number of items in the system L and the mean arrival rate λ; the result is the mean time each item stays in the system. It is the rearranged form of Little's law (L = λW), used when the mean number of items and the flow rate are known and the residence time is wanted. This application is especially useful in contexts where counting items is easier than timing each one: for example, knowing the average inventory and the demand gives the average time an item spends in stock; knowing the work in progress and a team's throughput gives the average lead time (a central relation in the Kanban method and lean manufacturing). For example, with 1.5 items in the system and 6 arrivals per hour, the mean time is 0.25 hour. The generality of Little's law makes this formula applicable to queues, inventories, processes and systems of any nature in steady state. Enter L and λ.
M/M/1 — Response Factor
Computes the response factor of an M/M/1 queue, F = µ/(µ − λ), from the arrival rate λ and the service rate µ; the result is how many times the mean time in system exceeds the pure service time. The response factor expresses the response-time degradation caused by the queue: since the time in system is W = 1/(µ − λ) and the isolated service time is 1/µ, the ratio between them is µ/(µ − λ) = 1/(1 − ρ). A factor of 1 would mean immediate service with no waiting; a factor of 2.5 (as in λ = 6, µ = 10) indicates that, because of the queue, customers spend on average 2.5 times more time in the system than the actual service time. This factor grows without bound as the utilisation approaches 1, capturing the congestion impact in a dimensionless way. It is widely used in performance analysis of computer and service systems to assess the latency penalty imposed by load. Enter λ and µ (with µ > λ).
Normal Time (Time Study)
Computes the normal time of an operation, NT = observed time × (rating/100), from the average stopwatch time and the operator's pace rating in percent; the result is the time adjusted to a standard pace. The normal time is the first stage of the time study: the analyst times the execution of a task and, simultaneously, rates the operator's pace relative to a pace considered normal (100%). An operator working at 110% is faster than normal, and their observed time is adjusted upward; at 90%, slower, adjusted downward. This normalisation makes the time independent of the specific observed operator's speed, allowing a fair and comparable standard to be established. The normal time does not yet include allowances (rest, personal needs, delays) — added in the next stage to obtain the standard time. It is fundamental for defining capacity, costs and production targets. Enter the observed time and the rating.
Standard Time
Computes the standard time of an operation, ST = normal time × (1 + allowance), from the normal time and the allowance factor (fraction); the result is the total standardised time to perform the task. The standard time is the official time target of an operation, the basis for planning, costing and remuneration. It starts from the normal time (already adjusted for pace) and adds the allowances — the extra time granted for rest, personal needs, fatigue and small unavoidable interruptions. For example, a 15% allowance recognises that the operator does not produce uninterruptedly for the eight hours of the shift. The standard time is used to calculate productive capacity, size teams, establish labour costs, set deadlines and assess efficiency. It is one of the most important results of methods engineering and work study, connecting the shop-floor observation to managerial planning. Enter the normal time and the allowance.
Minimum Number of Stations
Computes the theoretical minimum number of workstations of a line, N = sum of task times / cycle time, from the total work time (sum of all tasks) and the desired cycle time; the result is the theoretical floor of stations. In assembly line balancing, the goal is to distribute tasks among stations so that each does not exceed the cycle time (dictated by demand, equal to the takt). The minimum number of stations is the absolute lower bound: dividing the total work by the cycle time gives how many stations would be needed if the balancing were perfect (no idleness). In practice, precedence constraints and task indivisibility require rounding up and generally using more stations than the theoretical minimum. This value is the starting point of the line design and the reference for measuring the balancing efficiency achieved. Enter the sum of task times and the cycle time.
Line Balancing Efficiency
Computes the balancing efficiency of a line, E = sum of task times / (number of stations × cycle time) × 100, from the total work time, the actual number of stations and the cycle time; the result is in %. The balancing efficiency measures how well the work was distributed among stations: it compares the total productive time with the total allocated capacity (all stations operating during the entire cycle time). A 100% efficiency would mean perfect balancing, with no idleness — all stations with exactly the same load, equal to the cycle time. In practice, precedence constraints and indivisible tasks create idle time at some stations, reducing efficiency. Efficiencies above 90% are considered good. This indicator guides the improvement of balancing, the decision to add or remove stations and the comparison between line design alternatives. Enter the sum of times, the number of stations and the cycle time.
Balance Delay
Computes the balance delay BD = (N × TC − sum of times) / (N × TC) × 100, from the number of stations N, the cycle time TC and the sum of task times; the result is in %. The balance delay is the complement of the efficiency (BD = 100% − E): it represents the fraction of the line's total capacity lost as idle time, due to the impossibility of perfectly balancing the loads among stations. It quantifies the waste built into the line design: the numerator is the total idle time (allocated capacity minus actual work), and the denominator is the total capacity. A low balance delay indicates a well-designed line, with homogeneously loaded stations; a high delay signals bottlenecks and underused stations, an opportunity to reorganise tasks, split bottlenecks or reduce the number of stations. It is a key indicator in production engineering to assess and improve assembly lines. Enter the number of stations, the cycle time and the sum of times.
Production Capacity
Computes the production capacity = available time / cycle time, from the available production time and the cycle time per unit (in the same time unit); the result is the number of units that can be produced. The production capacity is the maximum quantity a resource, line or factory can produce in a period, given the output rhythm. Dividing the available time (a shift, a day, a month) by the cycle time (interval between the completion of two consecutive units) gives how many units fit in that period. It is a fundamental calculation in production planning and control: it serves to check whether capacity meets demand, identify bottlenecks, size shifts and equipment and plan expansions. The theoretical capacity calculated here is the upper bound; the effective capacity considers losses from stoppages, setups and quality (captured by the OEE). Enter the available time and the cycle time.
Production Rate (parts/hour)
Computes the production rate = 60 / cycle time, from the cycle time in minutes; the result is in parts per hour. The production rate is the output rhythm of a process — how many units are produced per unit of time — and is the inverse of the cycle time. Converting the cycle time in minutes to an hourly basis (dividing 60 minutes by the cycle time) directly gives how many parts come out per hour. For example, a cycle time of 2 minutes corresponds to 30 parts per hour. The production rate is widely used in production planning, in comparing machines and processes, in calculating cost per part and in checking capacity against demand. It is an intuitive way to express the performance of a line or equipment, complementary to the cycle time: while the latter focuses on the interval per part, the rate focuses on the throughput per period. Enter the cycle time in minutes.
Cycle Time (from Output)
Computes the required cycle time = available time / desired output, from the available production time and the quantity to be produced in the period; the result is the cycle time per unit. This is the inverse form of the production capacity: instead of asking how much is produced at a given rhythm, the production target is defined and the rhythm needed to achieve it is calculated. The resulting cycle time is the maximum interval allowed between consecutive units so that the desired output is achieved in the available time — a concept equivalent to the takt time when the target is customer demand. Knowing the required cycle time is essential for line balancing (no station may exceed this time), equipment sizing and setting operational targets. If the current cycle time is greater than the required one, the line will not meet the target and will need improvements or more resources. Enter the available time and the desired output.
Number of Operators Needed
Computes the number of operators needed = (demand × standard time) / available time, from the period demand, the standard time per unit and the available time of each operator in the period (in the same time unit); the result is the number of operators. This calculation sizes the labour needed to meet a demand within the available time. The numerator is the total workload (how many units times the standard time of each), and the denominator is the work capacity of one operator in the period. Dividing one by the other gives how many operators are needed. For example, 400 units at 2.4 minutes each require 960 minutes of work; with 480 minutes per operator, 2 operators are needed. In practice, one rounds up and considers efficiency and absenteeism. It is an essential calculation in capacity planning, labour budgeting and the sizing of shifts and production cells. Enter the demand, the standard time and the available time.
Labor Productivity
Computes the labour productivity = output / hours worked, from the quantity produced and the total man-hours worked in the period; the result is in units per man-hour. Labour productivity is one of the most used indicators to measure work efficiency: it expresses how many units are produced per hour of human work employed. It is the ratio between an output (production) and an input (hours worked), and the higher it is, the more efficient the use of labour. Tracking productivity over time reveals efficiency gains from method improvements, training, automation or better organisation; drops may indicate process, motivation or equipment problems. Productivity is fundamental for costing (the labour cost per unit is the inverse of productivity times the hourly wage), benchmarking between shifts and units, and target setting. It is a pillar of production management and competitiveness. Enter the output and the hours worked.
Simple Exponential Smoothing
Computes the forecast by simple exponential smoothing, F = α·D + (1−α)·F_previous, from the smoothing constant α (between 0 and 1), the actual demand of the previous period D and the previous forecast F. Exponential smoothing is one of the most used forecasting methods in practice: the new forecast is a weighted average between the observed demand and the previous forecast, giving more weight to recent data. The constant α controls the reactivity: high values (close to 1) make the forecast sensitive to recent variations, while low values make it more stable and smooth. Unlike the moving average, this method implicitly incorporates the entire history, with weights decaying exponentially into the past, and requires storing only the previous forecast. It is suitable for series without marked trend or seasonality, and serves as the basis for more advanced methods such as Holt and Holt-Winters. Enter α, the previous demand and the previous forecast.
Moving Average Forecast (3 periods)
Computes the forecast by the simple three-period moving average, F = (D1 + D2 + D3)/3, from the actual demands of the three most recent periods; the result is the forecast for the next period. The moving average is the simplest and most intuitive forecasting method: it uses the average of the most recent observations as an estimate of the next value, smoothing short-term random fluctuations. The number of periods (here three) defines the window: larger windows smooth more, but react more slowly to real changes; smaller windows react fast, but are noisier. The simple moving average gives equal weight to all periods in the window and discards the oldest ones. It is suitable for stable series, without trend or seasonality. Despite its simplicity, it is widely used in demand planning, inventory management and as a baseline to compare more sophisticated methods. Enter the demands of the three periods.
Weighted Moving Average (3 periods)
Computes the forecast by the three-period weighted moving average, F = w1·D1 + w2·D2 + w3·D3, from the demands of the three periods and their weights (which must sum to 1); the result is the forecast for the next period. The weighted moving average improves on the simple moving average by assigning different weights to each period in the window, typically giving more weight to the most recent data, which are more relevant for forecasting the near future. For example, weights 0.5, 0.3 and 0.2 make the most recent period influence half the forecast. The choice of weights is flexible and allows adjusting the model's sensitivity, but introduces subjectivity. When the weights decay geometrically, the weighted moving average approaches exponential smoothing. It is used in demand planning when the recent periods are known to be more representative. Enter the three demands and their respective weights.
Forecast Error
Computes the forecast error e = actual demand − forecast demand, from the demand that actually occurred and the forecast that had been made; the result is the deviation between actual and forecast. The forecast error is the elementary measure of a forecast's quality: a positive error indicates that the actual demand exceeded the forecast (under-forecasting), while a negative error indicates that the forecast was greater than the actual (over-forecasting). The systematic analysis of errors over time allows assessing whether the forecasting method is adequate and whether there is bias (a consistent tendency to err high or low). The individual errors are the raw material of aggregate metrics such as the mean absolute deviation (MAD), the mean squared error (MSE) and the tracking signal. Monitoring the error is essential to correct models and improve demand and inventory planning. Enter the actual and the forecast demand.
Tracking Signal
Computes the tracking signal TS = running sum of forecast errors (RSFE) / mean absolute deviation (MAD), from the running sum of forecast errors and the MAD; the result is a dimensionless measure of the forecast bias. The tracking signal monitors whether a forecasting method remains reliable over time. The running sum of forecast errors (RSFE) tends to oscillate around zero when the method is unbiased, since positive and negative errors cancel out. Dividing this sum by the MAD gives how many MADs the accumulated error represents. Values close to zero indicate a balanced forecast; values exceeding control limits (typically ±4 to ±6) signal systematic bias — the model is consistently over- or under-forecasting and needs revision. It is a statistical control tool applied to demand forecasting, allowing automatic detection of model degradation. Enter the running sum of errors and the MAD.
Linear Trend Forecast
Computes the linear trend forecast F = level + trend × periods, from the current level of the series (intercept), the trend per period (slope) and the number of periods ahead; the result is the projected forecast. When a demand series shows consistent growth or decline, ignoring this trend leads to systematically wrong forecasts. The linear trend model projects the current level by adding the expected increment per period multiplied by how many periods ahead one wants to forecast. The level represents the base value at the starting point, and the trend, how much demand changes each period. This is the trend component used in Holt's method (double exponential smoothing), which dynamically updates level and trend. It is essential for forecasting products in a growth or decline phase, capacity planning and budgeting. Enter the level, the trend and the number of periods ahead.
Seasonal Index
Computes the seasonal index = period demand / average demand, from the demand observed in a specific seasonal period and the average demand of all periods; the result is a dimensionless factor around 1. The seasonal index quantifies the recurring pattern of a series: an index of 1.2 indicates that in that period (for example, December) demand is typically 20% above the annual average, while 0.8 indicates 20% below. These indices capture effects such as holidays, seasons, payment cycles and weather. They are used in two complementary ways: to deseasonalise the series (dividing demand by the index, revealing the underlying trend) and to seasonalise forecasts (multiplying the base forecast by the period's index). The sum of the indices of a complete cycle should equal the number of periods. It is an essential component of seasonal forecasting models such as Holt-Winters. Enter the period demand and the average demand.
Seasonal Forecast
Computes the seasonal forecast F = base forecast × seasonal index, from the base (non-seasonal) forecast, typically the average or projected trend, and the period's seasonal index; the result is the seasonality-adjusted forecast. Many products and services have strongly seasonal demand, and a forecast that ignores this pattern errs predictably. The seasonal forecast corrects this by multiplying the base estimate by the seasonal index corresponding to the target period: high periods (index greater than 1) receive larger forecasts; low periods (index less than 1), smaller ones. This procedure is the final step of classical decomposition models and the multiplicative Holt-Winters method, where level, trend and seasonality are combined. It is widely used in retail, tourism, energy and any sector with regular cycles, allowing the sizing of inventories, teams and capacity throughout the year. Enter the base forecast and the seasonal index.
Deseasonalized Demand
Computes the deseasonalized demand = observed demand / seasonal index, from the actual demand of a period and that period's seasonal index; the result is the demand free of the seasonal effect. Deseasonalising means removing the seasonal pattern from a series to reveal the underlying signal — the real level and trend — without the distortion caused by recurring peaks and troughs. For example, high sales in December may reflect only seasonality, not real business growth; dividing by December's seasonal index gives the equivalent demand as if it were an average month. This allows fair comparison of periods, identification of true trends and adjustment of forecasting models. The deseasonalized demand is the starting point for estimating level and trend in decomposition methods: first seasonality is removed, then the trend is projected, and finally seasonality is reapplied to the forecast. Enter the observed demand and the seasonal index.
α Equivalent to Moving Average
Computes the equivalent smoothing constant α = 2/(n+1), from the number of periods n of a moving average; the result is the α of an exponential smoothing that has the same 'average age' of the data. The n-period moving average and the exponential smoothing with the right constant α respond to changes at a similar speed when their average data ages coincide — and this equivalence is given by α = 2/(n+1). For example, a 9-period moving average is equivalent to an exponential smoothing with α = 0.2. This relationship is very useful for converting between the two methods: those accustomed to thinking in moving-average windows can choose the corresponding α, and vice versa. It also helps to intuitively understand α: a small α corresponds to a long window (slow and smooth response), while a large α corresponds to a short window (fast and noisy response). It is a practical link between the two most common forecasting methods. Enter the number of moving-average periods.
Economic Order Quantity (EOQ)
Computes the economic order quantity (EOQ) by Wilson's formula, EOQ = √(2·D·S/H), from the annual demand D (units), the fixed cost per order S and the cost of holding one unit in stock per year H; the result is the optimal quantity to order each time. The EOQ is the central concept of inventory management: it finds the order size that minimises the total cost, balancing two opposing costs. Large orders reduce the purchasing frequency (lower ordering cost), but increase the average inventory (higher holding cost); small orders do the opposite. The EOQ is exactly at the point where these two costs are equal. The formula assumes constant and known demand, instantaneous replenishment and stable costs. Despite the simplifications, it is the basis of purchase planning and lot sizing in the supply chain. Enter the annual demand, the cost per order and the holding cost.
Reorder Point (ROP)
Computes the reorder point (ROP) = daily demand × lead time, from the average daily demand d (units) and the replenishment lead time L in days; the result is the inventory level that triggers a new order. The reorder point is the replenishment trigger: when stock falls to this level, it is time to buy, so that the order arrives just as the remaining stock runs out. It covers the expected demand during the lead time. In situations with demand or delivery uncertainty, a safety stock is added to the ROP to reduce the stockout risk. The reorder point is one of the fundamental parameters of the continuous review system (Q model), used together with the economic order quantity to define when and how much to buy. It is widely applied in ERP and inventory management systems. Enter the daily demand and the lead time.
Safety Stock
Computes the safety stock SS = Z·σ·√L, from the safety factor Z (corresponding to the desired service level), the standard deviation of daily demand σ and the lead time L in days; the result is the extra quantity to hold as protection. The safety stock is the buffer against variability: it covers demand fluctuations during the lead time, reducing the stockout risk when demand is higher than forecast. The factor Z comes from the normal distribution and grows with the service level — for example, Z≈1.65 for 95% and Z≈2.33 for 99%. The √L term reflects that uncertainty accumulates over the replenishment time. The greater the demand variability, the lead time or the service level requirement, the greater the safety stock needed — and the greater the cost of holding it. It is the parameter that balances availability and inventory cost. Enter Z, the demand standard deviation and the lead time.
Number of Orders per Year
Computes the number of orders per year N = annual demand / quantity per order, from the annual demand D (units) and the lot size Q (units); the result is how many times per year an order is placed. This number is a direct consequence of the lot policy: the larger the lot, the fewer orders needed, and vice versa. When the economic order quantity (EOQ) is used, the resulting number of orders is the one that minimises the total cost of ordering and holding stock. Knowing the number of orders is useful for planning the purchasing department's workload, negotiating supply contracts and sizing the receiving logistics. Multiplied by the cost per order, it provides the annual ordering cost, one of the two components of the total inventory cost. It is a simple but essential metric in supply planning. Enter the annual demand and the quantity per order.
Time Between Orders (Cycle)
Computes the time between orders (cycle time) T = (quantity per order / annual demand) × 365, from the lot size Q (units) and the annual demand D (units); the result is in days. The time between orders is the average interval between two consecutive replenishments, that is, how long a lot lasts until it needs to be replenished. It is the inverse of the number of orders per year, expressed in days. With the economic order quantity, this cycle is the one that minimises the total cost. Knowing the cycle time helps synchronise purchases with the supplier, plan periodic stock reviews and establish replenishment calendars. In the periodic review model (P model), the review interval is defined analogously. A very short cycle indicates frequent orders and may signal lots that are too small; a very long cycle, large lots and high inventory. Enter the quantity per order and the annual demand.
Total Inventory Cost
Computes the total annual inventory cost CT = (D/Q)·S + (Q/2)·H, from the annual demand D, the lot size Q, the cost per order S and the cost of holding one unit per year H; the result is the total cost of ordering and holding stock in the year. The total cost combines the two relevant costs in inventory management: the annual ordering cost, equal to the number of orders (D/Q) times the cost per order S; and the annual holding cost, equal to the average inventory (Q/2) times the unit holding cost H. These two terms vary in opposite directions with the lot size — and the economic order quantity (EOQ) is precisely the value of Q that minimises this sum. Evaluating the total cost for different lots allows comparing purchase policies and quantifying the impact of quantity discounts. It is the objective function of the classic inventory model. Enter the demand, the lot, the cost per order and the holding cost.
Inventory Turnover
Computes the inventory turnover = cost of goods sold / average inventory, from the cost of goods sold (COGS) in the period and the value (or quantity) of the average inventory; the result is the number of times the inventory was renewed in the period. The inventory turnover is one of the main indicators of inventory management and working capital efficiency: it measures how many times the stock was sold and replenished. A high turnover indicates lean inventory and fast sales, freeing up capital; a low turnover points to excess stock, obsolescence and tied-up money. The ideal value depends heavily on the sector — supermarkets have very high turnovers, while durable goods have low turnovers. The turnover is the basis for calculating the inventory coverage (days of stock) and for comparing logistics performance between periods, stores or competitors. Enter the COGS and the average inventory.
Inventory Coverage (Days)
Computes the inventory coverage = average inventory / daily demand, from the average inventory (units) and the average daily demand (units/day); the result is the number of days the current stock covers. The inventory coverage, also called days of stock, expresses how long the available stock sustains the operation without replenishment, given the consumption rate. It is the translation of the inventory turnover into an intuitive time unit: while the turnover says how many times the stock renews per year, the coverage says how many days it lasts. A very high coverage indicates tied-up capital and obsolescence risk; very low, stockout risk. The coverage is widely used in demand planning and supply chain management to set inventory targets, compare SKUs and monitor inventory health. It is especially useful for items with seasonal or variable demand. Enter the average inventory and the daily demand.
Average Inventory
Computes the average inventory = (quantity per order / 2) + safety stock, from the lot size Q (units) and the safety stock SS (units); the result is the average inventory level held over time. In the classic inventory model with constant demand, the level oscillates in a sawtooth shape: it rises when a lot Q is received and falls to the safety stock as demand consumes it. The average of this cycle is half the lot (Q/2) added to the safety stock that serves as a floor. The average inventory is the basis for calculating the holding cost (multiplying by the unit holding cost) and the value of capital tied up in stock. Reducing the average inventory — through smaller lots or lower safety stock — frees up working capital, but increases the order frequency or the stockout risk. It is a key indicator of the balance between cost and availability. Enter the quantity per order and the safety stock.
Maximum Inventory
Computes the maximum inventory = safety stock + quantity per order, from the safety stock SS (units) and the lot size Q (units); the result is the highest level the stock reaches right after an order arrives. In the continuous review model, the maximum inventory occurs at the instant a lot Q is received, adding to the safety stock that still remained. This value is important for sizing the physical storage capacity — shelves, pallets, warehouse area — and for setting limits in management systems. A high maximum inventory requires more space and capital, while a controlled value keeps the warehouse efficient. Together with the safety stock (minimum level) and the average inventory, the maximum inventory completely describes the behaviour of the stock level over the replenishment cycle. It is an essential parameter in the design of warehouses and distribution centres. Enter the safety stock and the quantity per order.
OEE — Overall Equipment Effectiveness
Computes the OEE (Overall Equipment Effectiveness) = Availability × Performance × Quality × 100, from the three component rates entered as fractions between 0 and 1; the result is in %. The OEE is the key indicator of Total Productive Maintenance (TPM) and lean manufacturing: it measures the fraction of production time that is truly productive, integrating the three big losses — stoppages (availability), speed reduction (performance) and defects (quality). An OEE of 100% would mean producing only good parts, at maximum speed, with no stoppages. Reference values: 85% is considered world-class for discrete processes, 60% is typical and below 40% indicates a large improvement opportunity. As it is a product of the three rates, even individually high components result in moderate OEE (0.9 × 0.9 × 0.9 ≈ 73%). It is the basis for prioritising improvement actions and comparing lines and shifts. Enter availability, performance and quality.
Availability (OEE)
Computes the OEE availability = operating time / planned production time × 100, from the time the equipment actually operated and the time planned for production (both in the same unit); the result is in %. The availability is the first of the three OEE factors and captures the stoppage losses: both unplanned ones (breakdowns, material shortage) and planned ones that consume productive time (setups, adjustments). The operating time is the planned time minus all stoppages. A low availability points to equipment reliability or production logistics problems, and is often the largest contributor to a low OEE in operations with frequent changeovers. Reducing setups (SMED) and preventive maintenance are the typical levers. It is the metric that connects the OEE directly to maintenance management. Enter the operating time and the planned time.
Performance (OEE)
Computes the OEE performance = (ideal cycle time × total produced) / operating time × 100, from the ideal cycle time per part (seconds), the total quantity produced and the operating time (seconds); the result is in %. The performance is the second OEE factor and captures the speed losses: micro-stops, idling and operation below nominal speed. It compares what was produced with what could theoretically have been produced in the operating time, at the ideal design speed. A performance below 100% indicates that the equipment ran slower than ideal — due to wear, poor adjustments, irregular feeding or small interruptions not recorded as stoppages. These speed losses are often invisible in daily management, and the OEE makes them explicit. Enter the ideal cycle time, the total quantity produced and the operating time.
Quality (OEE)
Computes the OEE quality = good parts / total produced × 100, from the number of good (conforming) parts and the total quantity produced; the result is in %. The quality is the third OEE factor and captures the defect losses: scrapped, reworked or out-of-specification parts, including startup losses (bad parts right after a setup, until the process stabilises). It represents the fraction of production that came out right the first time. A quality below 100% consumes production capacity and material without adding value, and can also generate rework costs and complaints. Unlike the process yield measured in DPMO, here the count is per part (unit), reflecting the direct impact on delivered production. It is the OEE factor most linked to quality control on the line. Enter the good parts and the total produced.
Takt Time
Computes the takt time = available production time / customer demand, from the available time in a period (seconds) and the quantity demanded in that period; the result is in seconds per part. The takt time is the production rhythm that synchronises the factory with customer demand — it comes from the German Takt, beat or measure. It defines the maximum interval between the completion of two consecutive parts so that demand is met without delays or overproduction. For example, 28,800 available seconds per shift and 400 parts demanded give a takt of 72 seconds: one part must come out every 72 seconds. The takt time is fundamental in line balancing and continuous flow of lean manufacturing: the cycle time of each station must be less than or equal to the takt. Producing faster than the takt generates inventory; slower, delays. Enter the available time and the demand.
Process Cycle Efficiency (PCE)
Computes the process cycle efficiency (PCE) = value-added time / total lead time × 100, from the time of value-adding activities and the total process lead time (both in the same unit); the result is in %. The PCE is a central Lean metric: it measures what fraction of the total time a part or order spends in the system is effectively spent on activities the customer values, as opposed to waits, transports, inspections and inventories (waste). In many traditional processes the PCE is surprisingly low — often below 5% — revealing that most of the lead time is waiting time. Lean processes aim for PCE above 25%. Increasing the PCE means eliminating waste and reducing lead time without necessarily speeding up the value-added work. It is the metric that quantifies the improvement potential in a value stream map. Enter the value-added time and the total lead time.
Acceptance Probability (OC Curve)
Computes the lot acceptance probability by the Poisson approximation for zero acceptance (c=0), Pa = e^(−n·p) × 100, from the sample size n and the lot defective fraction p; the result is in %. In acceptance sampling, the plan defines inspecting n items and accepting the lot if there are no defects (criterion c=0). The acceptance probability is the chance the lot passes given its actual quality level p, and the plot of Pa against p is the operating characteristic curve (OC curve) of the plan. The larger the sample, the steeper the curve and the stricter the plan. For example, with n=50 and p=1%, the acceptance probability is about 60.7%. The OC curve allows assessing the producer's risk (rejecting good lots) and the consumer's risk (accepting bad lots) and comparing sampling plans. Enter the sample size and the defective fraction.
Average Outgoing Quality (AOQ)
Computes the average outgoing quality (AOQ) = Pa × p × 100, from the acceptance probability Pa (fraction between 0 and 1) and the incoming defective fraction p (fraction between 0 and 1); the result is in % defective at the output. In a rectifying inspection scheme — where rejected lots are 100% inspected and defectives replaced — the AOQ is the average defective fraction that effectively reaches the customer, considering all lots. When the incoming quality is very good (low p) or very bad (high p, so almost everything is rectified), the AOQ is low; it reaches an intermediate maximum called AOQL (Average Outgoing Quality Limit), the worst average quality level the plan can let through in the long run. The AOQ is a key concept for evaluating the protection a sampling plan with rectification offers. Enter the acceptance probability and the incoming defective fraction.
Number of Runs (Full Factorial 2^k DOE)
Computes the number of runs of a full two-level factorial design, N = 2^k, from the number of factors k; the result is the quantity of combinations (runs) to execute. In design of experiments (DOE), a full two-level factorial tests all combinations of high and low levels of the factors, allowing estimation of all main effects and all interactions. The number of runs grows exponentially with the number of factors: 2 factors require 4 runs, 4 factors require 16, and 7 factors already require 128. This growth motivates the use of fractional factorials when there are many factors, sacrificing the estimation of high-order interactions (usually negligible) in exchange for far fewer runs. Knowing N in advance is essential for planning the budget, time and resources of an experiment. Enter the number of factors.
Main Effect (DOE)
Computes the main effect of a factor in a factorial experiment, Effect = mean of responses at the high level − mean of responses at the low level, from the two means entered; the result is the average change in response attributable to the factor. In design of experiments (DOE), the main effect of a factor quantifies how much the process response changes, on average, when that factor goes from the low level to the high level. A large effect (in absolute value) indicates an influential factor, which must be controlled or optimised; an effect close to zero indicates a factor of little relevance in that range. The sign shows the direction: positive means that increasing the factor increases the response. Comparing the main effects of several factors (for example, in a Pareto chart of effects) reveals which variables really matter for the result, guiding process improvement and robustness. Enter the response means at the high and low levels.
Process Capability Index Cp
Computes the process capability index Cp = (USL − LSL)/(6σ), from the upper specification limit USL, the lower specification limit LSL and the process standard deviation σ. The Cp compares the width of the tolerance band (specification) with the natural spread of the process (six standard deviations). A Cp ≥ 1 indicates that the process, if centred, is capable of producing within specifications; Cp ≥ 1.33 is the minimum generally required in industry, and Cp ≥ 2.0 corresponds to a Six Sigma level process. The Cp measures only the process potential — it assumes the process is perfectly centred between the limits — and therefore must be analysed alongside the Cpk, which considers the off-centring. It is a fundamental indicator of statistical process control (SPC) and manufacturing quality. Enter the specification limits and the standard deviation.
Process Capability Index Cpk
Computes the process capability index Cpk = min(USL − µ, µ − LSL)/(3σ), from the upper specification limit USL, the lower specification limit LSL, the process mean µ and the standard deviation σ. Unlike the Cp, the Cpk takes the process off-centring into account: it measures the distance from the mean to the nearest specification limit, in units of three standard deviations. Therefore, the Cpk is always less than or equal to the Cp, equalling it only when the process is perfectly centred. A Cpk ≥ 1.33 is typically required for capable processes, and Cpk ≥ 1.67 or 2.0 for higher quality levels. The Cpk is the most used capability index in practice because it reflects the actual process performance, not just its potential. It is central in statistical process control and the Six Sigma methodology. Enter the limits, the mean and the standard deviation.
Sigma Level (from DPMO)
Computes the sigma level of a process from the DPMO (defects per million opportunities), using the approximation σ = 0.8406 + √(29.37 − 2.221·ln(DPMO)). The sigma level is the central metric of the Six Sigma methodology: it expresses the capability of a process on a scale where higher values mean fewer defects. A Six Sigma process (level 6) produces only 3.4 defects per million opportunities, considering the 1.5σ shift of the mean commonly adopted. The scale is not linear: going from 3 to 4 sigma reduces defects drastically (from ~66,800 to ~6,210 DPMO). This polynomial approximation directly converts the measured DPMO into a sigma level, avoiding table lookups. It is widely used in quality improvement projects, process benchmarking and performance reports. Enter the process DPMO.
DPMO (Defects Per Million Opportunities)
Computes the DPMO = defects/(units × opportunities) × 10⁶, from the number of defects found, the number of units inspected and the number of defect opportunities per unit. The DPMO normalises the defect rate by the product complexity: each unit may have several defect opportunities (points where a fault can occur), and the DPMO counts defects per million of those opportunities. This allows a fair comparison of processes and products of very different complexities — a circuit board with thousands of solder joints and a simple item would not be comparable by raw defect count alone. The DPMO is the basis for the sigma level calculation and the standard metric in Six Sigma programmes. Low values indicate high quality: a Six Sigma process operates at 3.4 DPMO. Enter defects, units and opportunities.
Process Yield (from DPMO)
Computes the process yield Y = (1 − DPMO/10⁶) × 100, from the DPMO (defects per million opportunities); the result is in %. The yield expresses the fraction of opportunities that result in conformance (no defect) — it is the direct complement of the defect rate. A Six Sigma process (3.4 DPMO) has a yield of 99.99966%, while a three sigma process (~66,800 DPMO) yields about 93.3%. Although a 93% yield seems good, in complex products with many opportunities this level results in many accumulated defects. Therefore the yield per opportunity is more demanding than the yield per unit. This metric is used to communicate process quality intuitively to managers and customers, and to track the evolution of improvement projects. Enter the process DPMO.
Process Performance Index Pp
Computes the process performance index Pp = (USL − LSL)/(6s), from the upper specification limit USL, the lower specification limit LSL and the overall standard deviation s. The Pp is the analogue of the Cp, but uses the long-term overall standard deviation — computed from all data — instead of the within-subgroup standard deviation. Therefore, the Pp reflects the actual process performance over time, including between-subgroup variations and trends, while the Cp reflects the short-term potential capability. The difference between Pp and Cp indicates how much additional variation comes from special causes and instability. A stable, in-control process has Pp ≈ Cp. The performance indices Pp and Ppk are required in standards such as the automotive industry's PPAP. Enter the specification limits and the overall standard deviation.
Process Performance Index Ppk
Computes the process performance index Ppk = min(USL − µ, µ − LSL)/(3s), from the upper specification limit USL, the lower specification limit LSL, the process mean µ and the overall standard deviation s. The Ppk is the analogue of the Cpk, but uses the long-term overall standard deviation, considering all the process variation over time. Like the Cpk, it incorporates the off-centring of the mean, measuring the distance to the nearest specification limit. The Ppk is always less than or equal to the Cpk for the same data, and the difference between them reveals the presence of special causes of variation. The Ppk is the preferred metric for assessing the actual, long-term performance delivered to the customer, and is required in preliminary capability studies and production part approvals (PPAP). Enter the limits, the mean and the overall standard deviation.
X̄ Chart Control Limit (UCL)
Computes the upper control limit of the means chart (X̄), UCL = X̄ + A₂·R̄, from the grand mean X̄, the factor A₂ (tabulated constant that depends on the subgroup size) and the average range R̄. The X̄-R control charts are the central graphical tool of statistical process control: the X̄ chart monitors the process mean over time, and its control limits define the range of variation expected from common causes. Points outside the limits signal special causes that must be investigated. The factor A₂ is, for example, 0.577 for subgroups of 5 samples and 0.729 for subgroups of 3. The lower limit is calculated symmetrically (X̄ − A₂·R̄). These limits are distinct from the specification limits — they reflect the voice of the process, not the voice of the customer. Enter X̄, A₂ and R̄.
R Chart Control Limit (UCL)
Computes the upper control limit of the range chart (R), UCL = D₄·R̄, from the factor D₄ (tabulated constant that depends on the subgroup size) and the average range R̄. The R chart tracks the spread (variability) of the process over time, complementing the X̄ chart that tracks the mean. Together, they form the X̄-R pair, standard for continuous variables in small subgroups. The factor D₄ is, for example, 2.114 for subgroups of 5 samples and 2.574 for subgroups of 3; the lower limit uses D₃, which is zero for subgroups of up to 6 samples (hence there is no LCL in those cases). Monitoring the range is essential: an increase in spread indicates loss of control even if the mean remains stable. The R chart must be analysed before the X̄ chart, since the latter's limits depend on a stable spread. Enter D₄ and R̄.
Defect Rate in PPM
Computes the defect rate in PPM (parts per million), PPM = (defectives/total) × 10⁶, from the number of defective units and the total number of units. The PPM expresses the fraction of nonconforming items on a parts-per-million scale, standard in industry to communicate very low defect quality levels. Unlike the DPMO, which counts defects per opportunity, the PPM counts defective units per million units — a unit with several defects counts as a single nonconforming one. It is the usual metric in customer-supplier relationships, quality targets and supply contracts (for example, requiring fewer than 25 PPM of defective parts). Reducing the PPM is the direct objective of continuous improvement and zero-defect programmes. Typical world-class values are below 100 PPM. Enter the number of defectives and the total number of units.
Failure Rate (from MTBF)
Computes the failure rate of a component, λ = 1/MTBF, from the mean time between failures MTBF (hours); the result is converted to ×10⁻⁶ failures/hour. The failure rate is the average number of failures per unit time, being the inverse of the mean time between failures (MTBF). For components in the useful life phase (the flat part of the 'bathtub curve'), the failure rate is approximately constant, and the exponential reliability model applies. A low failure rate indicates a more reliable component. It is the fundamental quantity in reliability engineering, used to predict failure frequency, size spare parts inventories and compute system reliability. From it derive the reliability over time, the availability and the maintenance requirements. Enter the mean time between failures.
MTBF (from Failure Rate)
Computes the mean time between failures from the failure rate, MTBF = 1/λ, from the failure rate λ (×10⁻⁶ failures/hour); the result is in hours. It is the inverse form of the failure rate: knowing a component's failure rate (often provided in datasheets or reliability databases), the mean time between failures is determined — the average expected interval between failure occurrences during the useful life. The MTBF is the most used reliability metric in industry, intuitively expressing how long, on average, a component or system operates before failing. High MTBF values (hundreds of thousands or millions of hours) indicate high reliability. It is used in warranties, maintenance contracts and sizing critical systems. Enter the failure rate.
Exponential Reliability
Computes the reliability of a component over time by the exponential model, R(t) = e^(−t/MTBF), from the operating time t (hours) and the mean time between failures MTBF (hours); the result is converted to %. The exponential reliability model applies to components with a constant failure rate (useful life), and provides the probability that the component survives (does not fail) up to a time t. The reliability starts at 100% (at time zero) and decays exponentially: when the operating time equals the MTBF, the reliability drops to about 37%. This model is the basis of the reliability analysis of electronic and mechanical systems in the normal operating phase. It allows predicting the success probability of a mission of given duration and sizing safety margins. Enter the operating time and the MTBF.
System Availability
Computes the availability of a repairable system, A = MTBF/(MTBF + MTTR), from the mean time between failures MTBF (hours) and the mean time to repair MTTR (hours); the result is converted to %. The availability is the fraction of time a system is operational and ready for use, considering both the failure frequency (MTBF) and the repair speed (MTTR). A system with high reliability (high MTBF) and fast maintenance (low MTTR) has high availability. It is the key metric in critical systems such as data centres, telecommunications and industry, often expressed in 'nines' (99.9% = three nines ≈ 8.8 hours of downtime per year; 99.999% = five nines ≈ 5 minutes/year). Availability is central in service level agreements (SLAs) and in designing fault-tolerant systems. Enter the MTBF and the MTTR.
Series System Reliability
Computes the reliability of a system with two components in series, R_s = R₁·R₂, from the individual reliabilities R₁ and R₂ (fractions between 0 and 1); the result is the system reliability. In a series system, all components must work for the system to work — the failure of any one causes the failure of the whole. Therefore, the system reliability is the product of the individual reliabilities, being always lower than that of the least reliable component. The more components in series, the lower the total reliability — which makes complex systems inherently less reliable than their elements. This principle motivates the use of redundancy (parallel components) at critical points. It is a fundamental calculation in system reliability analysis. Enter the reliabilities of the two components.
Parallel System Reliability
Computes the reliability of a system with two components in parallel (redundancy), R_p = 1 − (1 − R₁)·(1 − R₂), from the individual reliabilities R₁ and R₂ (fractions between 0 and 1); the result is the system reliability. In a parallel (redundant) system, it is enough that one of the components works for the system to work — it only fails if all fail. Therefore, the system reliability is always greater than that of the most reliable component: redundancy increases reliability. It is calculated by subtracting from 1 the probability of all failing (product of the individual failure probabilities). Redundancy is the main technique for achieving high reliability in critical systems — avionics, control systems, data centres — where failure is not tolerable. It is a central calculation in designing fault-tolerant systems. Enter the reliabilities of the two components.
FIT Rate (Failures in Time)
Computes the failure rate in FIT (Failures In Time), FIT = 10⁹/MTBF, from the mean time between failures MTBF (hours); the result is in FIT. The FIT is a standardised failure rate unit widely used in the semiconductor and electronic component industry, defined as the number of failures expected in 10⁹ (one billion) hours of operation. A component with 1 FIT would have, on average, one failure every billion hours. The FIT facilitates comparing reliability between components and summing failure rates in systems (the FITs of series components add directly). Datasheets of integrated circuits and devices often specify reliability in FIT. It is the preferred unit for very-high-reliability components, where the MTBF would be an inconveniently large number. Enter the mean time between failures.
Time for Target Reliability
Computes the operating time corresponding to a target reliability, t = −MTBF·ln(R), from the mean time between failures MTBF (hours) and the desired reliability R (fraction between 0 and 1); the result is in hours. It is the inverse form of the exponential reliability model: with the minimum reliability to be guaranteed defined (for example, 99% probability of not failing) and the MTBF known, the maximum operating time within which this reliability is maintained is calculated. This calculation is essential in defining preventive maintenance intervals and guaranteed useful life: to keep the reliability above a threshold, the component must be replaced or inspected before this time. It is widely used in reliability-centred maintenance (RCM) and warranty design. Enter the MTBF and the desired reliability.
Series System MTBF
Computes the mean time between failures of a system with two components in series, MTBF_s = 1/(1/MTBF₁ + 1/MTBF₂), from the individual MTBF₁ and MTBF₂ (hours); the result is in hours. In a series system, the component failure rates add (since any failure brings down the system), so the system MTBF is lower than that of any individual component. The formula is the weighted harmonic mean of the MTBFs — equivalent to summing the failure rates (1/MTBF) and inverting. The more components in series, the lower the total MTBF, which highlights why complex systems have reduced reliability. This calculation is fundamental for estimating equipment and system reliability from their component specifications. Enter the MTBFs of the two components.
System Unavailability
Computes the unavailability of a repairable system, U = MTTR/(MTBF + MTTR), from the mean time between failures MTBF (hours) and the mean time to repair MTTR (hours); the result is converted to %. The unavailability is the fraction of time the system is out of operation (failed or under repair), being the complement of the availability (U = 1 − A). It quantifies the expected downtime, crucial for assessing production losses, contractual penalties and impact on critical services. For example, an unavailability of 0.1% corresponds to about 8.8 hours of downtime per year. Reducing the unavailability requires increasing the reliability (higher MTBF) or speeding up repairs (lower MTTR) — often through predictive maintenance, spare parts and redundancy. It is a central metric in asset management and risk analysis. Enter the MTBF and the MTTR.
Spectral Efficiency
Computes the spectral efficiency of a digital communication system, η = R_b/B, from the bit rate R_b (Mbps) and the bandwidth B (MHz); the result is in bits/s/Hz. The spectral efficiency measures how many bits per second are transmitted in each hertz of bandwidth — a measure of how well the radio spectrum, a scarce and expensive resource, is used. Higher-order modulation schemes (such as 64-QAM or 256-QAM) achieve greater spectral efficiency, transmitting more bits per symbol, but require a higher signal-to-noise ratio. There is a fundamental limit, given by the Shannon capacity, defining the maximum spectral efficiency possible for a given SNR. Maximising spectral efficiency is the central goal of modern communications (4G, 5G, Wi-Fi), allowing more users and higher speed in the available band. Enter the bit rate and the bandwidth.
Bit Rate (from Spectral Efficiency)
Computes the bit rate of a communication system, R_b = η·B, from the spectral efficiency η (bits/s/Hz) and the bandwidth B (MHz); the result is in Mbps. It is the inverse form of the spectral efficiency: knowing the spectral efficiency achievable by a modulation and coding scheme, and the available bandwidth, the maximum data rate the link can transmit is calculated. This calculation is fundamental in sizing communication systems: it defines how much information fits in the allocated band. Increasing the bit rate requires more bandwidth (if the efficiency is fixed) or greater spectral efficiency (via higher-order modulation, which demands a better signal-to-noise ratio). It is the central equation in capacity planning of wireless networks and communication links. Enter the spectral efficiency and the bandwidth.
Energy per Bit (Eb)
Computes the energy per bit of a communication signal, E_b = P_r/R_b, from the received power P_r (W) and the bit rate R_b (bps); the result is converted to ×10⁻¹⁵ J (femtojoules). The energy per bit is the average energy spent to transmit each bit of information, obtained by dividing the signal power by the bit rate. It is the fundamental quantity in the performance analysis of digital systems, since the error probability (BER) depends directly on the ratio between the energy per bit and the noise spectral density (Eb/N0). Reducing the bit rate, for a given power, increases the energy per bit and improves the detection reliability. The energy per bit is the starting point for computing the Eb/N0 and assessing the viability of a digital link. Enter the received power and the bit rate.
Eb/N0 Ratio (from C/N)
Computes the energy-per-bit to noise-density ratio, E_b/N₀ = C/N + 10·log₁₀(B/R_b), from the carrier-to-noise ratio C/N (dB), the bandwidth B (MHz) and the bit rate R_b (Mbps); the result is in dB. The Eb/N0 is the standard quality metric of a digital link: it relates the energy per bit to the noise power spectral density, and directly determines the bit error rate (BER). It differs from the carrier-to-noise ratio (C/N) by a factor depending on the ratio between the bandwidth and the bit rate — systems occupying more bandwidth than their bit rate gain an Eb/N0 advantage. Different modulation schemes require different Eb/N0 to reach a given BER. It is the central quantity in comparing modulations and designing digital communication links. Enter the C/N ratio, the bandwidth and the bit rate.
C/N Ratio (from Eb/N0)
Computes the carrier-to-noise ratio from the Eb/N0, C/N = E_b/N₀ − 10·log₁₀(B/R_b), from the Eb/N0 ratio (dB), the bandwidth B (MHz) and the bit rate R_b (Mbps); the result is in dB. It is the inverse form of the Eb/N0 conversion: knowing the Eb/N0 required by a modulation scheme to reach a given error rate, and the bandwidth and bit rate parameters, the carrier-to-noise ratio (C/N) the link must provide is calculated. The C/N is the quantity measured directly at the receiver (ratio between the signal power and the noise in the band), while the Eb/N0 is the per-bit normalised metric. Converting between the two is routine in link design: the modulation specification gives the Eb/N0, but the receiver power budget is done in C/N. Enter the Eb/N0, the bandwidth and the bit rate.
Shannon Limit (Minimum Eb/N0)
Computes the minimum theoretical Eb/N0 ratio for a given spectral efficiency, by the Shannon limit formula, (E_b/N₀)_min = (2^η − 1)/η, from the spectral efficiency η (bits/s/Hz); the result is converted to dB. The Shannon limit defines the absolute minimum Eb/N0 below which no reliable communication is possible, for a given spectral efficiency — a theoretical boundary imposed by information theory. As the spectral efficiency tends to zero, this limit tends to the famous value of −1.59 dB, the absolute minimum Eb/N0 for any communication. Modern coding schemes (turbo codes, LDPC) operate very close to this limit, with a difference of a fraction of a dB. Knowing the Shannon limit allows assessing how efficient a real system is compared to the theoretical maximum. Enter the spectral efficiency.
Number of Modulation Levels (M-ary)
Computes the number of levels (or symbols) of an M-ary modulation scheme, M = 2^k, from the number of bits per symbol k; the result is the number of distinct symbols. In an M-ary digital modulation, each transmitted symbol represents k bits, encoded in M = 2^k distinct states of amplitude, phase or frequency. For example, QPSK (k = 2) has 4 symbols, 16-QAM (k = 4) has 16, and 256-QAM (k = 8) has 256. Increasing the number of levels transmits more bits per symbol, raising the spectral efficiency, but the symbols become closer in the constellation diagram, making the system more sensitive to noise and requiring a higher Eb/N0. Choosing the modulation order is a central trade-off between rate and robustness in digital communications. Enter the number of bits per symbol.
Symbol Rate (Baud)
Computes the symbol rate of a modulation system, R_s = R_b/k, from the bit rate R_b (Mbps) and the number of bits per symbol k; the result is in Mbaud (megasymbols per second). The symbol rate (or baud rate) is the number of symbols transmitted per second, which can be much lower than the bit rate when each symbol carries several bits. For example, transmitting 10 Mbps with 16-QAM (4 bits/symbol) requires a rate of only 2.5 Mbaud. Since the needed bandwidth is governed by the symbol rate (not the bit rate), higher-order modulations allow transmitting more data in the same band. The symbol rate is the parameter connecting the data rate to the occupied bandwidth, being central in designing digital communication systems. Enter the bit rate and the bits per symbol.
Channel Bandwidth (with Roll-off)
Computes the bandwidth occupied by a digital signal, B = R_s·(1 + α), from the symbol rate R_s (Mbaud) and the roll-off factor α (between 0 and 1); the result is in MHz. The minimum bandwidth to transmit a symbol rate R_s without inter-symbol interference is the Nyquist band (R_s/2 in baseband, R_s in passband). In practice, a raised-cosine filter with a roll-off factor α exceeding the minimum band is used, smoothing the transition and easing signal recovery. Typical roll-offs range from 0.2 to 0.35; the smaller the roll-off, the narrower the band (more spectrally efficient), but the harder the filtering. Computing the occupied bandwidth is essential for spectrum allocation and channel planning in communication systems. Enter the symbol rate and the roll-off factor.
Digital Link Margin
Computes the margin of a digital communication link, M = (E_b/N₀)_received − (E_b/N₀)_required, from the Eb/N0 available at the receiver and the Eb/N0 required by the modulation scheme for the target error rate (both in dB); the result is in dB. The link margin is the signal quality 'headroom': how much the actually received Eb/N0 exceeds the minimum needed for the communication to work at the specified error rate. A positive margin indicates the link works with headroom, tolerating degradations such as rain, fading and component ageing. Typical design margins range from 3 to 10 dB, depending on the required reliability. A negative margin means the link does not close — the signal is too weak for the chosen modulation. It is the final check in designing any communication link. Enter the received and required Eb/N0.
Doppler Shift (Radar)
Computes the Doppler frequency shift of a radar, f_d = 2·v/λ, from the target radial velocity v (m/s) and the radar wavelength λ (m); the result is in Hz. The Doppler effect in radar arises because a moving target changes the frequency of the reflected wave: approaching targets increase the frequency and receding ones decrease it. The factor 2 appears because the wave travels the path twice (out and back), doubling the shift. By measuring the Doppler shift, the radar determines the target's radial velocity — the basis of speed radars (traffic), weather radars (measuring wind) and military ones (tracking aircraft and missiles). It is the fundamental quantity of Doppler radars. Enter the target radial velocity and the wavelength.
Target Velocity (from Doppler)
Computes the radial velocity of a target from the measured Doppler shift, v = f_d·λ/2, from the Doppler shift f_d (Hz) and the radar wavelength λ (m); the result is in m/s. It is the inverse form of the Doppler shift: by measuring the frequency change of the wave reflected by a target and knowing the radar wavelength, the speed at which the target approaches or recedes is determined. This is the main function of Doppler radars: traffic radars calculate vehicle speeds, weather radars measure the speed of rain droplets (and therefore the wind), and defence radars track aircraft speeds. The sign of the shift indicates the direction (approaching or receding). It is the central calculation of any radar speed measurement system. Enter the Doppler shift and the wavelength.
Range Resolution (Radar)
Computes the range resolution of a radar, ΔR = c/(2·B), from the pulse bandwidth B (MHz) and the speed of light c = 3×10⁸ m/s; the result is in m. The range resolution is the smallest distance between two targets that a radar can distinguish as separate echoes. It depends inversely on the bandwidth of the transmitted signal: wide-bandwidth pulses (short or frequency-modulated) give fine resolution, while narrow pulses cannot distinguish close targets. The factor 2 comes from the out-and-back path of the wave. To distinguish targets separated by 1 metre, for example, a 150 MHz bandwidth is needed. The range resolution is a fundamental specification of any radar, determining its ability to detail scenes and separate close targets. Enter the pulse bandwidth.
Radar Range (from Time)
Computes the distance of a radar-detected target, R = c·t/2, from the round-trip echo time t (µs) and the speed of light c = 3×10⁸ m/s; the result is converted to km. The radar measures a target's distance by timing the interval between the emission of a pulse and the reception of the reflected echo. Since the wave travels at the speed of light and covers the path twice (to the target and back), the distance is half the product of the speed of light and the travel time. A rule of thumb: each microsecond of delay corresponds to 150 metres of distance. This is the fundamental principle of radar distance measurement, used in air traffic control, navigation, remote sensing and automotive radars. Enter the round-trip echo time.
Unambiguous Range (Radar)
Computes the maximum unambiguous range of a pulsed radar, R_ua = c/(2·PRF), from the pulse repetition frequency PRF (Hz) and the speed of light c = 3×10⁸ m/s; the result is converted to km. The unambiguous range is the maximum distance a radar can measure without ambiguity. Since the radar emits repeated pulses, the echo of a distant target may arrive after the next pulse has already been transmitted, being erroneously associated with it — which creates ambiguity in the distance measurement. The unambiguous range is the distance the wave travels (out and back) in the interval between two pulses. There is a fundamental trade-off: increasing the PRF improves velocity measurement (Doppler), but reduces the unambiguous range, and vice versa. It is a central parameter in designing pulsed radars. Enter the pulse repetition frequency.
Maximum Unambiguous Velocity (Radar)
Computes the maximum unambiguous velocity of a pulsed Doppler radar, v_max = λ·PRF/4, from the wavelength λ (m) and the pulse repetition frequency PRF (Hz); the result is in m/s. Just as there is a maximum unambiguous range, there is also a maximum unambiguous velocity: the highest radial velocity the radar can measure without Doppler ambiguity. By the Nyquist criterion applied to sampling the Doppler signal (one sample per pulse), the maximum measurable Doppler shift is PRF/2, corresponding to a velocity of λ·PRF/4. Velocities above this appear 'folded' (Doppler aliasing), causing error. There is a fundamental trade-off between unambiguous range and velocity, both governed by the PRF — increasing one reduces the other. It is a key parameter in designing Doppler radars. Enter the wavelength and the PRF.
Maximum Range (Radar Equation)
Computes the maximum detection range of a radar by the radar equation, R_max = (P_t·G²·λ²·σ/((4π)³·P_min))^(1/4), from the transmitted power P_t (W), the antenna gain G (linear), the wavelength λ (m), the target radar cross-section σ (m²) and the minimum detectable power P_min (W); the result is converted to km. The radar equation relates the maximum detection range to all the system and target parameters. The range grows only with the fourth root of the power and the gain — which is why doubling the range requires increasing the power 16-fold. It also depends on the target's radar cross-section (how reflective it is) and the receiver sensitivity. It is the fundamental equation sizing a radar: it defines whether a target of given reflectivity can be detected at a certain distance. Enter the transmitted power, the gain, the wavelength, the cross-section and the minimum detectable power.
Radar Cross-Section in dBsm (RCS)
Computes the radar cross-section in decibels relative to one square metre, σ_dB = 10·log₁₀(σ), from the radar cross-section σ (m²); the result is in dBsm. The radar cross-section (RCS) measures how detectable a target is by a radar — the effective area it presents in reflecting the incident energy back to the radar. It depends on the target's size, shape, material and orientation, and can vary enormously (a stealth aircraft has an RCS thousands of times smaller than a commercial plane of the same size). Due to this wide range of values, the RCS is often expressed on a logarithmic scale (dBsm), where 0 dBsm equals 1 m². Typical values: a bird ~ −20 dBsm, a car ~ 10 dBsm, a ship ~ 40 dBsm. It is the central quantity in radar signature and stealth technology. Enter the radar cross-section.
Bandwidth for Resolution (Radar)
Computes the bandwidth needed to obtain a given range resolution, B = c/(2·ΔR), from the desired range resolution ΔR (m) and the speed of light c = 3×10⁸ m/s; the result is converted to MHz. It is the inverse form of the range resolution calculation: with the smallest target separation the radar must distinguish defined, the minimum bandwidth the transmitted signal must have is determined. Since the resolution is inversely proportional to the bandwidth, very fine resolutions require very wide bandwidths — which is why high-resolution imaging radars (such as synthetic aperture radar, SAR) operate with bandwidths of hundreds of MHz to a few GHz. This bandwidth requirement determines the hardware complexity and the spectrum allocation. It is an essential calculation in designing high-resolution radars. Enter the desired range resolution.
PRF for Unambiguous Range (Radar)
Computes the pulse repetition frequency needed for a given unambiguous range, PRF = c/(2·R_ua), from the desired unambiguous range R_ua (km) and the speed of light c = 3×10⁸ m/s; the result is in Hz. It is the inverse form of the unambiguous range: with the maximum range the radar must measure without ambiguity defined, the highest pulse repetition frequency that can be used is determined. The PRF must be low enough for the echo of the farthest target to return before the next pulse. On the other hand, a low PRF limits the maximum measurable velocity and the update rate. This trade-off between unambiguous range and velocity is at the heart of pulsed radar design, leading to strategies such as using multiple PRFs to resolve ambiguities. Enter the desired unambiguous range.
Antenna Effective Aperture
Computes the effective aperture (effective area) of an antenna, A_e = G·λ²/(4π), from the antenna gain G (linear, dimensionless) and the wavelength λ (m); the result is in m². The effective aperture represents the equivalent area with which a receiving antenna 'collects' the power of an incident electromagnetic wave. It relates directly to the gain: higher-gain antennas have a larger effective aperture and capture more energy. For a given frequency, the effective aperture is proportional to the gain; and for a given gain, it grows with the square of the wavelength (low-frequency antennas are physically larger). It is a fundamental concept in antenna theory and in computing communication links, connecting the gain to the power-capture capability. Enter the antenna gain and the wavelength.
Antenna Gain (from Effective Aperture)
Computes the gain of an antenna from its effective aperture, G = 4π·A_e/λ², from the effective aperture A_e (m²) and the wavelength λ (m); the result is dimensionless (linear gain). It is the inverse form of the effective aperture: knowing an antenna's effective area (especially in aperture antennas, such as parabolic reflectors and horns, whose physical area is well defined) and the wavelength, the gain is calculated. The gain grows with the effective aperture and decreases with the square of the wavelength — which is why microwave and millimetre antennas, operating at short wavelengths, achieve very high gains with modest sizes. This relation is the basis of designing high-frequency directional antennas for radars, satellite communications and radio astronomy. Enter the effective aperture and the wavelength.
Received Power (Friis Equation)
Computes the received power in a radio link by the Friis transmission equation, P_r = P_t·G_t·G_r·(λ/(4π·d))², from the transmitted power P_t (W), the transmitting G_t and receiving G_r antenna gains (linear), the wavelength λ (m) and the distance d (m); the result is converted to µW. The Friis equation is the fundamental calculation of any free-space communication link: it relates the power reaching the receiver to the transmitted power, the antenna gains and the propagation loss (which grows with the square of the distance and decreases with the wavelength). It determines whether a link is viable — whether the received power exceeds the receiver sensitivity. It is the basis of designing radio, satellite, Wi-Fi and radar systems. Enter the transmitted power, the antenna gains, the wavelength and the distance.
Antenna Directivity
Computes the directivity of an antenna, D = G/η, from the gain G (linear) and the radiation efficiency η (between 0 and 1); the result is dimensionless. The directivity measures how much an antenna concentrates the radiated power in one direction, compared to an isotropic radiator (which radiates equally in all directions). It is a purely geometric property of the radiation pattern. The gain, on the other hand, also includes the antenna's internal losses (ohmic, dielectric resistance), being the product of the directivity and the radiation efficiency. Therefore, the directivity is always greater than or equal to the gain. Separating the directivity (pattern shape) from the efficiency (losses) is essential for diagnosing an antenna's performance and identifying where there are losses to improve. Enter the gain and the radiation efficiency.
Antenna Gain (from Directivity)
Computes the gain of an antenna, G = η·D, from the radiation efficiency η (between 0 and 1) and the directivity D (linear); the result is dimensionless. It is the inverse form of the directivity: knowing the directivity (determined by the radiation pattern shape) and the antenna radiation efficiency, the real gain is calculated. The gain is the quantity appearing in the link (Friis) equation and in practical specifications, since it reflects the power effectively radiated in the main direction, minus the losses. For very efficient antennas (η close to 1, such as metallic reflectors and horns), gain and directivity are almost equal; for antennas with significant losses (such as small electrically short antennas), the gain can be much smaller than the directivity. It is a central calculation in antenna characterisation. Enter the radiation efficiency and the directivity.
Waveguide Cutoff Frequency (TE10)
Computes the cutoff frequency of the dominant TE₁₀ mode of a rectangular waveguide, f_c = c/(2·a), from the larger cross-section dimension a (mm) and the speed of light c = 3×10⁸ m/s; the result is in GHz. A waveguide only transmits electromagnetic waves above a minimum frequency — the cutoff frequency. For the fundamental TE₁₀ mode of a rectangular guide, the cutoff frequency depends only on the larger section dimension (a): below it, the wave does not propagate (it is evanescent). Above the cutoff frequency, the guide carries the wave with very low loss, being the standard structure for transmitting microwave power in radars, satellites and ovens. Choosing the guide dimensions defines its operating range. The cutoff frequency is the fundamental parameter in designing and selecting waveguides. Enter the larger cross-section dimension.
Guide Wavelength
Computes the guided wavelength in a waveguide, λ_g = (c/f)/√(1 − (f_c/f)²), from the operating frequency f (GHz) and the cutoff frequency f_c (GHz); the result is in mm. Inside a waveguide, the wavelength of the propagating wave (guided wavelength) is different — and larger — than the free-space wavelength at the same frequency. This happens because the wave 'zigzags' reflecting off the guide walls, travelling a longer effective path. The closer the operating frequency to the cutoff frequency, the larger the guided wavelength (tending to infinity at cutoff). The guided wavelength is essential for designing microwave components — resonant cavities, couplers and transitions — whose dimensions are defined in fractions of this wavelength. Enter the operating frequency and the cutoff frequency.
Waveguide Phase Velocity
Computes the phase velocity of a wave in a waveguide, v_p = c/√(1 − (f_c/f)²), from the operating frequency f (GHz) and the cutoff frequency f_c (GHz), with c = 3×10⁸ m/s; the result is converted to ×10⁸ m/s. The phase velocity is the speed at which the constant-phase planes of the wave move along the guide. Curiously, in a waveguide it is greater than the speed of light in vacuum — which does not violate relativity, since no information or energy travels at the phase velocity (energy travels at the group velocity, which is less than c). The phase velocity tends to infinity as the frequency approaches the cutoff. This dispersive behaviour of waveguides is important in designing microwave systems and understanding guided propagation. Enter the operating frequency and the cutoff frequency.
Short Dipole Radiation Resistance
Computes the radiation resistance of a short dipole, R_r = 80·π²·(L/λ)², from the dipole length L (m) and the wavelength λ (m); the result is in Ω. The radiation resistance is an equivalent resistance representing the power effectively radiated by an antenna (and not dissipated as heat). For a short dipole (length much smaller than the wavelength), it grows with the square of the ratio between the length and the wavelength. Since this ratio is small in short dipoles, their radiation resistance is low (a few ohms or less), which hinders impedance matching and reduces efficiency — which is why electrically short antennas are inefficient. Computing the radiation resistance is essential in designing small antennas, common in portable and IoT devices. Enter the dipole length and the wavelength.
Parabolic Antenna Effective Area
Computes the effective area of a parabolic antenna, A_e = η·π·(D/2)², from the aperture efficiency η (between 0 and 1, typically 0.5 to 0.7) and the reflector diameter D (m); the result is in m². The effective area of a parabolic antenna is its physical area (the area of the reflector circle) multiplied by the aperture efficiency, which accounts for losses from non-uniform illumination, spillover, feed blockage and surface imperfections. Since the gain is proportional to the effective area, larger and more efficient reflectors have higher gains. The effective area is the starting point for computing a parabolic antenna's gain and sizing satellite and radio astronomy links. Maximising the aperture efficiency, through optimised illumination and precise surfaces, is a central goal in designing large antennas. Enter the aperture efficiency and the reflector diameter.
Minimum Sample Rate (Nyquist)
Computes the minimum sample rate required by the Nyquist theorem, f_s = 2·f_max, from the maximum signal frequency f_max (MHz); the result is in MHz. The Nyquist-Shannon sampling theorem states that, to perfectly reconstruct a continuous signal from samples, the sample rate must be at least twice the highest frequency present in the signal. Sampling below this rate causes aliasing — high frequencies 'fold' and appear as false low frequencies, irreversibly distorting the signal. Therefore, before sampling, an anti-aliasing filter is used to limit the signal bandwidth. In practice, sampling is done above the Nyquist minimum to ease the filtering. It is the fundamental calculation in designing any digital signal acquisition system. Enter the maximum signal frequency.
Effective Number of Bits (ENOB)
Computes the effective number of bits of an A/D converter, ENOB = (SINAD − 1.76)/6.02, from the measured signal-to-noise-and-distortion ratio SINAD (dB); the result is the effective number of bits. The ENOB (Effective Number of Bits) is a measure of an ADC's real performance, usually lower than its nominal resolution due to the device's noise and distortion. While the nominal resolution indicates how many bits the converter has, the ENOB indicates how many bits are effectively useful — how many 'clean' bits of an ideal ADC would equal the measured real performance. For example, a nominally 16-bit ADC may have an ENOB of only 13 or 14 bits. It is the most important specification for assessing the real quality of a converter in demanding applications. Enter the measured SINAD.
SINAD from ENOB
Computes the signal-to-noise-and-distortion ratio from the effective number of bits, SINAD = 6.02·ENOB + 1.76, from the effective number of bits ENOB; the result is in dB. It is the inverse form of the ENOB calculation: knowing the desired or specified effective number of bits, the corresponding SINAD in decibels is determined. The SINAD (Signal-to-Noise-And-Distortion ratio) combines all the noise and all the harmonic distortion into a single dynamic performance metric of a converter. The relation 6.02·ENOB + 1.76 comes from the ideal quantization SNR formula: each effective bit contributes 6.02 dB. This conversion allows translating between the bit specification (more intuitive for digital designers) and the dB specification (measured in the laboratory). Enter the effective number of bits.
Spurious-Free Dynamic Range (SFDR)
Computes the spurious-free dynamic range of a converter, SFDR = 20·log₁₀(A_fund/A_spur), from the amplitude of the fundamental component A_fund and the amplitude of the largest spurious component A_spur (same unit); the result is in dB. The SFDR (Spurious-Free Dynamic Range) is the ratio, in decibels, between the fundamental signal amplitude and the largest spurious component (harmonic or otherwise) in the output spectrum of an ADC or DAC. It indicates the smallest signal that can be distinguished without being confused with a spur — crucial in software-defined radio, spectral instrumentation and communications applications, where weak signals near strong signals must be detected. A high SFDR means a 'clean' spectrum, with few distortions. It is one of the main dynamic specifications of high-performance converters. Enter the fundamental and largest spurious amplitudes.
Maximum Quantization Error (ADC)
Computes the maximum quantization error of an A/D converter, e_q = FSR/2^(N+1), from the full-scale range FSR (V) and the number of bits N; the result is converted to mV. Quantization — the conversion of a continuous value to the nearest digital level — introduces an inherent error, since each digital code represents a small range of analog voltages. The maximum quantization error is half the quantization step (½ LSB), occurring when the analog value is exactly midway between two levels. This error is the fundamental precision limit of an ideal ADC, independent of the device quality. Increasing the number of bits exponentially reduces the quantization error, improving the resolution. It is a central parameter in choosing the appropriate resolution for a given application. Enter the full-scale range and the number of bits.
Number of Quantization Levels (ADC)
Computes the number of quantization levels of an A/D converter, L = 2^N, from the number of bits N; the result is the number of discrete levels. An N-bit ADC divides its input range into 2^N distinct levels, each represented by a unique digital code. For example, an 8-bit ADC has 256 levels, and a 12-bit one has 4096 levels. The more levels, the more finely the analog signal is represented and the higher the resolution. The number of levels grows exponentially with the number of bits, which explains why each additional bit doubles the resolution. Knowing the number of levels is fundamental to understanding the conversion granularity and sizing the resolution needed to represent a signal with the desired precision. Enter the number of bits.
Nyquist Frequency
Computes the Nyquist frequency of a sampling system, f_N = f_s/2, from the sample rate f_s (MHz); the result is in MHz. The Nyquist frequency is the highest frequency that can be represented unambiguously in a digital system with a given sample rate — exactly half the sample rate. Any signal component with a frequency above the Nyquist frequency will undergo aliasing, appearing folded as a lower frequency and contaminating the digitised signal. Therefore, the Nyquist frequency defines the upper limit of the useful band of an A/D converter and the cutoff point the anti-aliasing filter must respect. It is a central concept in digital signal processing, defining what can and cannot be captured. Enter the sample rate.
Oversampling Ratio (OSR)
Computes the oversampling ratio of a converter, OSR = f_s/(2·BW), from the sample rate f_s (MHz) and the signal bandwidth BW (MHz); the result is dimensionless. The oversampling ratio is how many times the sample rate exceeds the Nyquist minimum (2·BW) for the signal of interest. Sampling well above the necessary (high OSR) spreads the quantization noise over a wide band, so that, when the signal is digitally filtered back to its original band, much of the noise is removed — improving the effective signal-to-noise ratio. This technique is the basis of sigma-delta converters, which achieve high resolution with few physical bits through high OSR. It is a central parameter in designing high-precision ADCs. Enter the sample rate and the bandwidth.
SNR Gain by Oversampling
Computes the signal-to-noise ratio gain obtained by oversampling, ΔSNR = 10·log₁₀(OSR), from the oversampling ratio OSR; the result is in dB. Oversampling improves a converter's signal-to-noise ratio because the quantization noise, spread over a wider band, is partially removed by the subsequent digital filtering. Each quadrupling of the oversampling ratio adds about 6 dB of SNR (equivalent to 1 effective bit). This 'free' resolution gain is the fundamental principle of sigma-delta converters and of digital processing techniques that trade sampling speed for resolution. Computing the oversampling gain allows estimating how many effective bits can be gained by sampling faster — a central trade-off in acquisition system design. Enter the oversampling ratio.
Total SNR with Oversampling
Computes the total signal-to-noise ratio of an oversampled converter, SNR = 6.02·N + 1.76 + 10·log₁₀(OSR), from the number of bits N and the oversampling ratio OSR; the result is in dB. This formula combines the ideal quantization SNR of an N-bit converter (6.02·N + 1.76 dB) with the additional gain provided by oversampling (10·log₁₀(OSR) dB). It shows how a low-bit converter, operating with a high oversampling ratio and digital filtering, can reach a signal-to-noise ratio equivalent to that of a converter with many more bits. It is precisely the principle of modern sigma-delta ADCs, used in high-fidelity audio and precision instrumentation. Computing the total SNR allows sizing the number of bits and the oversampling needed to reach a target performance. Enter the number of bits and the oversampling ratio.
Fuel Cell Reversible Voltage
Computes the reversible (theoretical) voltage of a fuel cell, E = −ΔG/(n·F), from the reaction's Gibbs free energy change ΔG (kJ/mol), the number of transferred electrons n and the Faraday constant F = 96485 C/mol; the result is in volts. The reversible voltage is the maximum voltage a fuel cell can deliver under ideal (reversible) conditions, determined by the reaction thermodynamics. For the hydrogen-oxygen cell (ΔG = −237 kJ/mol, n = 2), the reversible voltage is about 1.23 V. In practice, the operating voltage is always lower due to losses (activation, ohmic and concentration overpotentials). The reversible voltage is the starting point for assessing the efficiency and performance of any fuel cell. Enter the Gibbs free energy and the number of electrons.
Cell Thermodynamic Efficiency
Computes the maximum thermodynamic efficiency of a fuel cell, η = ΔG/ΔH·100, from the Gibbs free energy change ΔG (kJ/mol) and the enthalpy change ΔH (kJ/mol) of the reaction; the result is in %. The thermodynamic efficiency is the fraction of the reaction's total energy (enthalpy) that can, in principle, be converted into electrical work (Gibbs free energy). Unlike heat engines, limited by the Carnot efficiency, fuel cells convert chemical energy directly into electrical, not being subject to that limit. For the hydrogen cell, the thermodynamic efficiency is about 83% (relative to the lower heating value). This is the maximum ideal efficiency; the real one is lower due to voltage losses. It is a fundamental parameter in evaluating fuel cell technologies. Enter the Gibbs free energy and the enthalpy.
Cell Voltage Efficiency
Computes the voltage efficiency of a fuel cell, η_v = V/E·100, from the actual operating voltage V (V) and the reversible voltage E (V); the result is in %. The voltage efficiency is the ratio between the voltage the cell actually delivers in operation and the ideal reversible voltage. It reflects the cell's internal losses (overpotentials), which grow with the extracted current: the higher the current, the lower the operating voltage and efficiency. There is a fundamental trade-off between efficiency and power density — operating at low current gives high efficiency but little power, and vice versa. The voltage efficiency multiplied by the thermodynamic efficiency and the fuel utilisation gives the cell's overall efficiency. It is the metric capturing the real electrochemical losses. Enter the operating voltage and the reversible voltage.
Cell Overpotential (Loss)
Computes the total overpotential (voltage loss) of a fuel cell, η_loss = E − V, from the reversible voltage E (V) and the actual operating voltage V (V); the result is in V. The overpotential is the difference between the ideal (reversible) voltage and the voltage actually delivered by the cell, representing the total electrochemical losses. It is composed of three contributions: the activation overpotential (energy to start the electrode reactions, dominant at low currents), the ohmic overpotential (resistance to ion and electron transport, linear with current) and the concentration overpotential (reactant transport limitation, dominant at high currents). Minimising these losses is the central goal in developing catalysts, electrolytes and electrode structures. The total overpotential directly determines the cell efficiency. Enter the reversible voltage and the operating voltage.
Cell Power Density
Computes the power density of a fuel cell, P = V·J, from the operating voltage V (V) and the current density J (A/cm²); the result is in W/cm². The power density is the electrical power generated per unit active area of the cell, being the figure of merit determining the size and cost of a cell stack for a given power. Since the voltage decreases as the current density increases (due to losses), there is a maximum power density point, usually around half the reversible voltage. Maximising the power density allows more compact, cheaper stacks — a central goal in automotive and portable applications, where space and weight are critical. It is one of the most important specifications of a fuel cell. Enter the operating voltage and the current density.
Hydrogen Consumption (Faraday's Law)
Computes the hydrogen consumption rate of a fuel cell by Faraday's law, ṁ = I·M/(n·F), from the current I (A), with the hydrogen molar mass M = 2 g/mol, n = 2 electrons and the Faraday constant F = 96485 C/mol; the result is converted to mg/s. Faraday's law relates the electric current generated by a fuel cell to the amount of fuel consumed: each mole of hydrogen provides 2 moles of electrons. Knowing the cell current, the hydrogen flow rate needed to sustain it is directly calculated. This calculation is essential in sizing the fuel supply system, computing the autonomy (from the stored hydrogen) and assessing fuel utilisation. It is a central operational parameter of any fuel cell system. Enter the current.
Cell Voltage (Area Specific Resistance)
Computes the operating voltage of a fuel cell by the area specific resistance model, V = E_ocv − ASR·J, from the open-circuit voltage E_ocv (V), the area specific resistance ASR (Ω·cm²) and the current density J (A/cm²); the result is in V. In an operating range where the ohmic losses dominate, the cell voltage drops linearly with the current density, with the area specific resistance (ASR) as the angular coefficient. The ASR is a fundamental figure of merit encompassing all the charge transport resistances in the cell (electrolyte, electrodes, interconnects). Reducing the ASR — through thinner, more conductive electrolytes, better electrodes and contacts — is the direct path to increasing the power density. This simple model is widely used to characterise and compare cells, especially solid oxide ones. Enter the open-circuit voltage, the ASR and the current density.
Fuel Cell Stack Voltage
Computes the total voltage of a fuel cell stack, V_stack = n·V_cell, from the number of cells n and the voltage of each cell V_cell (V); the result is in V. A single fuel cell delivers a low voltage (typically 0.6 to 0.8 V in operation). To obtain useful voltages (tens to hundreds of volts), many cells are connected in series, forming a stack. The total stack voltage is the sum of the individual voltages, that is, the number of cells multiplied by the voltage per cell. Sizing the number of cells determines the system output voltage, which must be compatible with the load or the power converter. It is the basic design calculation of a fuel cell stack. Enter the number of cells and the voltage per cell.
Fuel Cell Stack Power
Computes the total electrical power of a fuel cell stack, P = V_stack·I, from the stack voltage V_stack (V) and the current I (A); the result is in W. The power of a fuel cell stack is the product of its total voltage and the current it delivers. The current is determined by the operating current density multiplied by the active area of each cell (all cells in a series stack carry the same current). The total power defines the system capacity — from stacks of a few watts for portable devices to hundreds of kilowatts for vehicles and stationary generation. Sizing the stack power, balancing voltage (number of cells) and current (cell area), is the central goal of fuel cell system design. Enter the stack voltage and the current.
Cell Overall Efficiency (vs. HHV)
Computes the overall efficiency of a hydrogen fuel cell relative to the higher heating value, η = V/1.48·100, from the cell operating voltage V (V); the result is in %. The value 1.48 V is the so-called thermoneutral voltage of the hydrogen cell: the voltage that would correspond to converting the entire reaction enthalpy (higher heating value) into electrical energy. The ratio between the actual operating voltage and this thermoneutral voltage gives a direct, practical measure of the cell's overall efficiency, encompassing the thermodynamic and electrochemical losses. For example, a cell operating at 0.7 V has an efficiency of about 47% relative to the higher heating value. It is a simple, widely used way to express fuel cell efficiency from a single voltage measurement. Enter the operating voltage.
Photodiode Responsivity
Computes the responsivity of a photodiode, R = η·λ/1240, from the quantum efficiency η (fraction between 0 and 1) and the light wavelength λ (nm); the result is in A/W. The responsivity is the fundamental quantity of a photodetector: it relates the generated photocurrent to the incident optical power. It depends on the quantum efficiency (fraction of photons that generate collected electron-hole pairs) and the wavelength — longer-wavelength photons have less energy, so a given power flux contains more photons, increasing the responsivity up to the limit imposed by the material's band gap. The responsivity determines the sensitivity of photodiodes used in optical receivers, light sensors and instrumentation. Enter the quantum efficiency and the wavelength.
Photodiode Photocurrent
Computes the photocurrent generated by a photodiode, I_ph = R·P_opt, from the responsivity R (A/W) and the incident optical power P_opt (mW); the result is in mA. The photocurrent is the electric current produced by a photodiode in response to the light incident on it, proportional to the optical power and the device responsivity. It is the fundamental output signal of any photodetector: it converts optical information (light intensity) into a measurable electrical signal. In fiber optic receivers, the photocurrent is amplified and processed to recover the transmitted data. In light sensors and optical power meters, it is used to quantify the illumination. Computing the photocurrent is essential in designing optical detection circuits and assessing receiver sensitivity. Enter the responsivity and the optical power.
Quantum Efficiency (from Responsivity)
Computes the quantum efficiency of a photodiode from the responsivity, η = R·1240/λ, from the responsivity R (A/W) and the wavelength λ (nm); the result is dimensionless (fraction between 0 and 1). It is the inverse form of the responsivity calculation: with the responsivity of a photodetector measured at a given wavelength, the quantum efficiency is determined — the fraction of incident photons that effectively generate electron-hole pairs collected as current. The quantum efficiency is an intrinsic measure of the photodetector quality, independent of the wavelength, unlike the responsivity. Values close to 1 (100%) indicate a near-ideal detector; low values reveal losses by reflection, recombination or incomplete absorption. It is a central parameter in characterising and comparing photodetectors. Enter the responsivity and the wavelength.
LED External Quantum Efficiency (EQE)
Computes the external quantum efficiency of an LED, EQE = (P_opt·λ)/(1240·I)·100, from the emitted optical power P_opt (mW), the wavelength λ (nm) and the injection current I (mA); the result is in %. The external quantum efficiency is the ratio between the number of photons emitted by the LED out of the device and the number of injected electrons. It combines the internal quantum efficiency (fraction of recombinations that generate photons) with the extraction efficiency (fraction of photons that escape the material, limited by total internal reflection in the high-index semiconductor). The EQE is the central performance metric of LEDs: modern high-power and lighting LEDs reach high EQE, while low extraction efficiency historically limited performance. It is fundamental in developing LEDs and displays. Enter the optical power, the wavelength and the current.
Wall-Plug Efficiency (LED/Laser)
Computes the wall-plug efficiency of an LED or laser, WPE = P_opt/(I·V)·100, from the emitted optical power P_opt (mW), the current I (mA) and the applied voltage V (V); the result is in %. The wall-plug efficiency (or power conversion efficiency) is the ratio between the useful emitted optical power and the total electrical power consumed by the device. Unlike the external quantum efficiency (which counts photons per electron), the WPE also considers the operating voltage, reflecting the device's real energy efficiency 'from the plug to the light'. It is the most relevant metric for lighting and power applications, where energy consumption is critical. Modern lighting LEDs reach high WPE, far superior to incandescent lamps. It is the decisive parameter in the energy efficiency of optoelectronic systems. Enter the optical power, the current and the voltage.
LED Optical Power (from EQE)
Computes the optical power emitted by an LED, P_opt = EQE·1240·I/(λ·100), from the external quantum efficiency EQE (%), the injection current I (mA) and the wavelength λ (nm); the result is in mW. It is the inverse form of the external quantum efficiency calculation: knowing an LED's EQE and the operating current, how much optical power it will emit at a given wavelength is predicted. An LED's optical power grows approximately linearly with the current (in the normal operating regime), with the EQE as the proportionality factor. This calculation is essential in designing lighting, signalling and optical communication systems, where the current must be sized to obtain the desired luminous power. Enter the external quantum efficiency, the current and the wavelength.
Laser Slope Efficiency
Computes the slope efficiency of a laser, η_slope = P_opt/(I − I_th), from the output optical power P_opt (mW), the operating current I (mA) and the threshold current I_th (mA); the result is in mW/mA (W/A). The slope efficiency is the rate at which a laser's output optical power grows with the current above threshold. Below the threshold current, the device emits little light (spontaneous emission); above it, stimulated emission begins and the power grows linearly with the current, with the slope efficiency as the angular coefficient. It is one of the most important specifications of a semiconductor laser, determining how much light is obtained per unit of drive current. Together with the threshold current, it completely characterises the laser's power-current curve. Enter the optical power, the operating current and the threshold current.
Laser Threshold Current Density
Computes the threshold current density of a semiconductor laser, J_th = I_th/A, from the threshold current I_th (mA) and the active region area A (cm²); the result is in A/cm². The threshold current density is the current per unit area needed to start the laser action (dominant stimulated emission). It is a fundamental figure of merit of semiconductor lasers: the lower it is, the more efficient the material and structure, with lower consumption and heating. Reducing the threshold current density was the central goal in laser development — from the first homostructure junctions (high J_th, operation only at low temperatures) to modern heterostructures and quantum wells (very low J_th, continuous operation at room temperature). It is essential in characterising and comparing laser materials and structures. Enter the threshold current and the active region area.
Laser Mode Spacing
Computes the spacing between longitudinal modes of a laser cavity, Δλ = λ²/(2·n·L), from the wavelength λ (nm), the medium refractive index n and the cavity length L (µm); the result is in nm. A resonant (Fabry-Perot) laser cavity supports multiple longitudinal modes — discrete wavelengths that fit an integer number of half wavelengths in the cavity. The spacing between these modes (also called free spectral range) is inversely proportional to the cavity optical length: short cavities have well-separated modes (favouring single-mode operation), while long cavities have close modes. The mode spacing determines the laser's emission spectrum and is crucial in designing single-mode lasers for optical communications and spectroscopy. Enter the wavelength, the refractive index and the cavity length.
Optical Power from Photocurrent
Computes the optical power incident on a photodiode from the measured photocurrent, P_opt = I_ph/R, from the photocurrent I_ph (mA) and the responsivity R (A/W); the result is in mW. It is the inverse form of the photocurrent calculation: by measuring the current generated by a photodiode and knowing its responsivity at the light wavelength, the optical power incident on it is determined. It is exactly what an optical power meter does: a calibrated photodiode converts the photocurrent into a power reading. This calculation is fundamental in measuring the power of light sources, characterising optical links and verifying losses in fiber optic systems. The accuracy depends on the exact knowledge of the responsivity at the used wavelength. Enter the photocurrent and the responsivity.
Gain-Bandwidth Product (GBW)
Computes the gain-bandwidth product of an operational amplifier, GBW = A_v·BW, from the voltage gain A_v and the bandwidth BW (kHz); the result is in kHz. The gain-bandwidth product is a characteristic constant of an internally compensated operational amplifier: in any configuration, the product of the closed-loop gain and the resulting bandwidth is approximately constant and equal to the GBW. This expresses the fundamental trade-off between gain and bandwidth: increasing a stage's gain proportionally reduces its bandwidth. The GBW (also called unity-gain frequency) is a central specification of any op-amp, determining the frequency performance. Knowing it allows predicting the available bandwidth for a given gain or choosing the appropriate component. Enter the voltage gain and the bandwidth.
Closed-Loop Bandwidth
Computes the closed-loop bandwidth of an amplifier, BW = GBW/A_v, from the gain-bandwidth product GBW (kHz) and the closed-loop voltage gain A_v; the result is in kHz. It is the inverse form of the gain-bandwidth product: knowing the op-amp's GBW (specified by the manufacturer) and the designed closed-loop gain, the bandwidth the circuit will have is calculated. The higher the chosen gain, the smaller the available bandwidth, due to the constancy of the gain-bandwidth product. This calculation is essential in amplifier design: it ensures the bandwidth is sufficient for the application (for example, to amplify audio or video signals) and guides the choice of op-amp and the distribution of gain across multiple stages. Enter the gain-bandwidth product and the closed-loop gain.
Full-Power Bandwidth (Slew Rate)
Computes the maximum full-power frequency of an amplifier, f_max = SR/(2π·V_p), from the slew rate SR (V/µs) and the output signal peak amplitude V_p (V); the result is in kHz. The slew rate is the maximum speed at which an amplifier's output voltage can change, limited by the charging current of the internal capacitors. For large-amplitude sinusoidal signals, this limitation imposes a maximum frequency above which the signal is distorted (the output cannot follow the input). The full-power bandwidth is precisely this limit, which decreases with the desired amplitude. It is a specification distinct from the small-signal bandwidth (limited by the GBW): for large signals, the slew rate is the limiting factor. Enter the slew rate and the peak amplitude.
Required Slew Rate
Computes the slew rate required to reproduce a sinusoidal signal without distortion, SR = 2π·f_max·V_p, from the maximum signal frequency f_max (kHz) and the peak amplitude V_p (V); the result is in V/µs. It is the inverse form of the full-power bandwidth: given the highest frequency and the peak amplitude of the signal to be amplified, the minimum slew rate the operational amplifier needs to follow the signal without slew-rate distortion is calculated. This calculation is essential in selecting op-amps for large-signal, high-frequency applications — such as driving loads, generating waveforms and high-level audio/video processing. Choosing an amplifier with insufficient slew rate results in triangular distortion at the signal peaks. Enter the maximum frequency and the peak amplitude.
Common-Mode Rejection Ratio (CMRR)
Computes the common-mode rejection ratio in decibels, CMRR = 20·log₁₀(A_d/A_cm), from the differential gain A_d and the common-mode gain A_cm; the result is in dB. The CMRR (Common-Mode Rejection Ratio) measures a differential amplifier's ability to reject signals common to both inputs (such as noise picked up equally on both wires) while amplifying the difference between them. It is the ratio between the differential gain (desired) and the common-mode gain (undesired), expressed in decibels. An ideal amplifier would have infinite CMRR; in practice, good instrumentation amplifiers reach 100 to 120 dB. The CMRR is crucial in measuring weak signals in the presence of noise, such as in electrocardiograms, bridge sensors and instrumentation amplifiers, where rejecting common-mode interference is essential. Enter the differential and common-mode gains.
Common-Mode Gain (from CMRR)
Computes the common-mode gain of an amplifier, A_cm = A_d/10^(CMRR/20), from the differential gain A_d and the common-mode rejection ratio CMRR (dB); the result is dimensionless. It is the inverse form of the CMRR: knowing the differential gain and the specified CMRR (in dB), how much the amplifier still amplifies common-mode signals is calculated — ideally a very small value. This residual common-mode gain determines the interference that leaks to the output when common noise appears on both inputs. The higher the CMRR, the lower the common-mode gain and the better the immunity to interference. This calculation is useful for estimating the common-mode error in precision measurements and verifying whether an amplifier meets an application's rejection requirements. Enter the differential gain and the CMRR.
Output Offset Voltage (Amplifier)
Computes the offset voltage reflected at the output of a non-inverting amplifier, V_out = V_os·(1 + R_f/R_i), from the input offset voltage V_os (mV), the feedback resistance R_f and the input resistance R_i (same unit); the result is in mV. The input offset voltage is a small error voltage inherent to the operational amplifier, which appears even with the inputs at zero. It is amplified by the noise gain (1 + R_f/R_i) and appears at the output as a DC error. In high-gain amplifiers or those processing DC and low-frequency signals, this error can be significant and must be considered or compensated. Computing the output offset voltage is essential in precision applications — measurement, instrumentation and sensor signal conditioning — to ensure accuracy. Enter the offset voltage, the feedback resistance and the input resistance.
Bias Current Error
Computes the output error voltage due to the input bias current of an amplifier, V_error = I_b·R_f, from the bias current I_b (nA) and the feedback resistance R_f (Ω); the result is converted to mV. The inputs of an operational amplifier draw a small bias current, needed for the input transistors to work. Flowing through the circuit resistors, this current generates voltage drops that appear as an error at the output. The error is proportional to the bias current and the feedback resistance — which is why amplifiers with high-value resistors are more sensitive to this effect. The standard technique to minimise it is to match the resistances seen by the two inputs, cancelling the common error. It is an important parameter in precision and high-impedance circuits. Enter the bias current and the feedback resistance.
Amplifier Rise Time
Computes the rise time of an amplifier from its bandwidth, t_r = 0.35/BW, from the bandwidth BW (kHz); the result is converted to µs. There is a direct relation between an amplifier's bandwidth (in the frequency domain) and its rise time (in the time domain) — the time the output takes to go from 10% to 90% of the final value in response to a step. The constant 0.35 holds for a first-order system (response dominated by a single pole). The larger the bandwidth, the faster the rise time and the more faithfully the amplifier reproduces fast transitions. This relation is used to convert between the frequency and time specifications of amplifiers, oscilloscopes and signal acquisition systems. Enter the bandwidth.
Power Supply Rejection Ratio (PSRR)
Computes the power supply rejection ratio in decibels, PSRR = 20·log₁₀(ΔV_cc/ΔV_out), from the variation in the supply voltage ΔV_cc (V) and the resulting variation at the output ΔV_out (µV); the result is in dB. The PSRR (Power Supply Rejection Ratio) measures an amplifier's ability to reject variations and noise from the power supply, preventing these disturbances from appearing at the output. It is the ratio between the supply variation and the corresponding output variation, in decibels. A high PSRR means the amplifier is immune to supply ripple (such as the ripple from switched or rectified supplies). It is an important specification in sensitive analog circuits, high-fidelity audio and instrumentation, where supply noise could contaminate the signal. Enter the supply voltage variation and the resulting output variation.
Thermal Noise (Johnson-Nyquist)
Computes the thermal noise voltage of a resistor by the Johnson-Nyquist formula, V_n = √(4·k_B·T·R·Δf), from the absolute temperature T (K), the resistance R (Ω), the bandwidth Δf (Hz) and the Boltzmann constant k_B = 1.381×10⁻²³ J/K; the result is converted to µV. Thermal noise (or Johnson noise) is the random voltage fluctuation generated by the thermal agitation of charge carriers in any conductor, even without applied current. It is white noise, present in all circuits, and grows with the temperature, the resistance and the bandwidth. It is the fundamental noise limit of any electronic system, defining the smallest detectable signal. Reducing thermal noise requires cooling the circuit, decreasing the resistance or narrowing the bandwidth. It is a central concept in designing low-noise amplifiers and sensitive instrumentation. Enter the temperature, the resistance and the bandwidth.
Thermal Noise Power (dBm)
Computes the available thermal noise power in dBm, P = 10·log₁₀(k_B·T·Δf/1 mW), from the absolute temperature T (K), the bandwidth Δf (Hz) and the Boltzmann constant k_B = 1.381×10⁻²³ J/K; the result is in dBm. The maximum thermal noise power a source can deliver to a matched load is the product of the Boltzmann constant, the temperature and the bandwidth. At room temperature (290 K), the thermal noise floor is approximately −174 dBm/Hz, a fundamental reference value in radiofrequency and telecommunications. This noise floor defines the limiting sensitivity of any receiver: no signal below it can be recovered without special techniques. Computing the noise power in a given band is essential in designing communication links and RF systems. Enter the temperature and the bandwidth.
Shot Noise (Ballistic)
Computes the shot noise current, I_n = √(2·q·I·Δf), from the DC current I (A), the bandwidth Δf (Hz) and the elementary charge q = 1.602×10⁻¹⁹ C; the result is converted to nA. Shot noise (or ballistic noise) arises from the discrete nature of electric charge: the current is not a continuous flow, but the sum of individual charges crossing a barrier (such as a p-n junction) at random instants. This granularity generates current fluctuations, proportional to the square root of the average current and the bandwidth. Shot noise is important in photodiodes, diodes and low-current devices, where it can dominate over thermal noise. Unlike thermal noise, it depends on the flowing current, not the temperature. It is a fundamental limit in optical detectors and sensitive amplifiers. Enter the current and the bandwidth.
Noise Figure (dB)
Computes the noise figure in decibels, NF = 10·log₁₀(F), from the noise factor F (dimensionless); the result is in dB. The noise figure quantifies how much a device (such as an amplifier) degrades the signal-to-noise ratio of the signal passing through it. An ideal, noiseless amplifier would have a noise figure of 0 dB (noise factor 1); in practice, every component adds noise, increasing the noise figure. It is a critical specification of low-noise amplifiers (LNAs) in radio, satellite and radio astronomy receivers, where the signals are extremely weak. The noise figure of a receiver's first stage dominates the performance of the whole system (by the Friis formula), which is why input LNAs are designed for minimum noise figure. Enter the noise factor.
Noise Factor from Figure (dB)
Computes the noise factor from the noise figure in decibels, F = 10^(NF/10), from the noise figure NF (dB); the result is dimensionless. It is the inverse form of the noise figure: converting the decibel value (as specified in datasheets) back to the linear noise factor, which is needed for cascade noise calculations. The noise factor (F ≥ 1) is the ratio between the input and output signal-to-noise ratios of a device, expressed linearly. The conversion between noise factor (linear) and noise figure (in dB) is routine in receiver chain design: manufacturers specify NF in dB, but the Friis formula for the total noise figure of cascaded stages uses the linear factor F. Enter the noise figure.
Noise Temperature
Computes the equivalent noise temperature of a device, T_e = (F − 1)·T₀, from the noise factor F and the reference temperature T₀ = 290 K; the result is in K. The noise temperature is an alternative way to express a component's noise, especially useful in very-low-noise systems such as satellite receivers and radio astronomy. It represents the temperature an input resistor would need to be at to generate the same noise the device adds. An ideal amplifier (F = 1) has zero noise temperature; the higher the noise factor, the higher the noise temperature. For very sensitive systems (fractional-dB noise figure), the noise temperature is more convenient and expressive than the noise figure in dB. It is the preferred unit in space communications. Enter the noise factor and the reference temperature.
Carson Bandwidth (FM)
Computes the bandwidth of an FM signal by Carson's rule, BW = 2·(Δf + f_m), from the peak frequency deviation Δf (kHz) and the maximum frequency of the modulating signal f_m (kHz); the result is in kHz. Frequency modulation (FM) generates a signal whose bandwidth is theoretically infinite, but Carson's rule provides a practical estimate of the bandwidth containing about 98% of the signal power. It depends on the frequency deviation (how much the carrier moves with the modulation) and the maximum audio frequency. For commercial FM radio (75 kHz deviation, audio up to 15 kHz), Carson's rule gives a 180 kHz bandwidth, close to the 200 kHz allocated per channel. It is the fundamental formula for sizing the bandwidth occupied by FM transmissions. Enter the frequency deviation and the maximum signal frequency.
FM Modulation Index
Computes the modulation index of an FM signal, β = Δf/f_m, from the peak frequency deviation Δf (kHz) and the modulating signal frequency f_m (kHz); the result is dimensionless. The FM modulation index is the ratio between the carrier frequency deviation and the frequency of the signal modulating it. It determines the shape of the FM signal spectrum and the number of sidebands generated: small indices (β < 1) produce narrowband FM (similar to AM), while large indices (β > 1) produce wideband FM, with better signal-to-noise ratio but greater spectral occupation. The modulation index is the central parameter characterising an FM system, governing the trade-off between signal quality and bandwidth. In commercial FM radio, β is around 5. Enter the frequency deviation and the modulating signal frequency.
AM Modulation Index
Computes the modulation index of an AM signal, m = (V_max − V_min)/(V_max + V_min), from the maximum V_max and minimum V_min amplitudes of the modulated signal envelope (same unit); the result is dimensionless (usually expressed in %). The AM modulation index measures the depth of amplitude modulation — how much the signal envelope varies relative to the carrier. An index of 1 (100%) represents the maximum modulation without distortion; indices above 1 cause overmodulation, distorting the signal and generating interference. Low indices underuse the available power. Determining the modulation index from the maximum and minimum envelope amplitudes (visible on an oscilloscope) is the standard method for measuring and adjusting AM transmitters. Enter the maximum and minimum envelope amplitudes.
Total Power of an AM Signal
Computes the total power of an AM signal, P_t = P_c·(1 + m²/2), from the carrier power P_c (W) and the modulation index m; the result is in W. In a conventional amplitude-modulation signal (AM-DSB), the total power is the sum of the carrier power (which carries no information) and the power of the two sidebands (which carry the information). The formula shows that, even with full modulation (m = 1), the sidebands contain only 1/3 of the total power — the other 2/3 remain in the carrier. This inefficiency of conventional AM motivated the development of techniques such as single sideband (SSB), which suppresses the carrier and one sideband. Computing the total power is essential in designing and operating AM transmitters. Enter the carrier power and the modulation index.
Optical Fiber Numerical Aperture
Computes the numerical aperture of an optical fiber, NA = √(n₁² − n₂²), from the core refractive index n₁ and the cladding refractive index n₂; the result is dimensionless. The numerical aperture is the quantity measuring an optical fiber's ability to capture light: it defines the cone of angles within which incident light is guided by total internal reflection along the core. The greater the difference between the core and cladding indices, the larger the numerical aperture and the more light the fiber can couple, but also the greater the modal dispersion (which limits the bandwidth in multimode fibers). It is a fundamental parameter in the design and characterisation of optical fibers, connectors and light sources. Enter the core and cladding refractive indices.
Optical Fiber Acceptance Angle
Computes the acceptance angle of an optical fiber, θ_a = arcsin(NA), from the numerical aperture NA (in air, n₀ = 1); the result is in degrees. The acceptance angle is the half-angle of the maximum cone within which light incident on the fiber face is captured and guided by the core through total internal reflection. Light incident at angles greater than this escapes into the cladding and is lost. The acceptance cone (with twice this angle as the full opening) defines the alignment tolerance between the light source and the fiber, being crucial for coupling efficiency. Fibers with a larger numerical aperture have wider acceptance cones, facilitating the coupling of divergent light sources such as LEDs. Enter the numerical aperture.
Relative Index Difference (Fiber)
Computes the relative refractive index difference of an optical fiber, Δ = (n₁ − n₂)/n₁, from the core index n₁ and the cladding index n₂; the result is dimensionless. The relative index difference (or profile parameter) is a normalised measure of the contrast between the core and cladding refractive indices, governing many fiber properties. Single-mode fibers have a very small Δ (typically 0.1 to 1%), while multimode fibers have a larger Δ. This parameter relates directly to the numerical aperture (NA ≈ n₁·√(2Δ)) and to the modal dispersion. The relative index difference is a central parameter in fiber design: increasing it improves light capture but worsens dispersion. Enter the core and cladding refractive indices.
V Number (Fiber Normalised Frequency)
Computes the V number (normalised frequency) of an optical fiber, V = (2π·a/λ)·NA, from the core radius a (µm), the light wavelength λ (µm) and the numerical aperture NA; the result is dimensionless. The V number is the parameter determining how many propagation modes a fiber supports. It combines the core geometry, the wavelength and the numerical aperture into a single value. When V < 2.405, the fiber is single-mode (supports only one propagation mode), which eliminates modal dispersion and allows very high transmission rates over long distances. When V > 2.405, the fiber is multimode. The V number is therefore the key criterion distinguishing single-mode from multimode fibers and the starting point in the design of any optical fiber. Enter the core radius, the wavelength and the numerical aperture.
Fiber Mode Count (Step-Index)
Computes the approximate number of propagation modes in a step-index fiber, M ≈ V²/2, from the V number (normalised frequency); the result is the number of modes. In a multimode fiber, light can propagate through many different paths (modes), each at a distinct angle. The number of modes grows with the square of the V number. Step-index multimode fibers can support hundreds or thousands of modes. Since each mode travels a path of different length, the modes arrive at distinct times, causing the modal dispersion that broadens the pulses and limits the bandwidth. This is why long-distance, high-speed fibers are single-mode (V < 2.405, a single mode). Estimating the number of modes is essential in characterising multimode fibers. Enter the V number.
Optical Fiber Total Attenuation
Computes the total attenuation of an optical fiber link, A = α·L, from the fiber attenuation coefficient α (dB/km) and the link length L (km); the result is in dB. The attenuation is the optical power loss along the fiber, caused by absorption, scattering (Rayleigh) and imperfections. It is expressed in decibels per kilometre and summed over the entire distance. Modern silica fibers have very low attenuation (about 0.2 dB/km at 1550 nm), allowing links of tens of kilometres without amplification. The total attenuation determines the link power budget: the transmitter power minus the total attenuation (plus connector and splice losses) must remain above the receiver sensitivity. It is a central calculation in optical network design. Enter the attenuation coefficient and the link length.
Optical Fiber Output Power
Computes the optical power at the output of a fiber, P_out = P_in·10^(−A/10), from the input power P_in (mW) and the total attenuation A (dB); the result is in mW. As light propagates through the fiber, its power decays exponentially due to attenuation. The decibel relation converts to a power factor by the exponential formula: every 3 dB of attenuation halves the power, and every 10 dB reduces it to one tenth. Computing the output power is essential to verify whether the signal reaching the receiver is above its minimum sensitivity — otherwise the link does not work and the distance must be reduced, a lower-attenuation fiber used or optical amplifiers inserted. It is the final step in analysing an optical link power budget. Enter the input power and the total attenuation.
Modal Dispersion (Step-Index Fiber)
Computes the pulse broadening by modal dispersion in a step-index fiber, Δτ = n₁·Δ·L/c, from the core index n₁, the relative index difference Δ, the fiber length L (km) and the speed of light c = 3×10⁸ m/s; the result is converted to ns. Modal (or intermodal) dispersion occurs in multimode fibers because the different modes travel paths of distinct lengths, arriving at the receiver at different times and broadening the light pulse. This broadening limits the maximum data rate and transmission distance, since consecutive pulses end up overlapping. The modal dispersion is proportional to the fiber length and the index difference, being the main limitation of step-index multimode fibers. This is why high-speed links use graded-index or single-mode fibers. Enter the core index, the index difference and the length.
Optical Fiber Bandwidth
Computes the approximate bandwidth of a dispersion-limited optical fiber, BW = 1/(2·Δτ), from the dispersion pulse broadening Δτ (ns); the result is converted to MHz. The bandwidth of an optical fiber represents the maximum modulation frequency (or data rate) it can transmit before the dispersion broadens the pulses to the point where they overlap and become indistinguishable. Since the dispersion increases with distance, the bandwidth decreases with the fiber length — hence the specification in MHz·km. The lower the dispersion, the higher the bandwidth and the transmission capacity. This is the central performance metric of an optical fiber for data communication, determining whether it meets the requirements of a given application. Enter the dispersion pulse broadening.
Cutoff Wavelength (Single-Mode)
Computes the cutoff wavelength of an optical fiber, λ_c = (2π·a·NA)/2.405, from the core radius a (µm) and the numerical aperture NA (2.405 is the first root of the Bessel function J₀); the result is in µm. The cutoff wavelength is the wavelength below which the fiber starts to support more than one propagation mode (becomes multimode). For wavelengths above the cutoff, the fiber operates in the single-mode regime, with a single guided mode — a necessary condition for long-distance, high-speed transmission without modal dispersion. Every single-mode fiber is designed so that its cutoff wavelength is below the operating window (for example, below 1310 nm). Computing the cutoff is essential to ensure single-mode operation in the desired wavelength range. Enter the core radius and the numerical aperture.
MOSFET Drain Current (Saturation)
Computes the drain current of a MOSFET in the saturation region, I_D = ½·k·(V_GS − V_th)², from the transconductance parameter k = µ·C_ox·(W/L) (mA/V²), the gate-source voltage V_GS (V) and the threshold voltage V_th (V); the result is in mA. In the saturation region (V_DS > V_GS − V_th), the MOSFET behaves as a voltage-controlled current source: the drain current depends on the square of the overdrive voltage (V_GS − V_th) and is practically independent of the drain-source voltage. This is the operating region used in amplifiers. The parameter k encompasses the carrier mobility, the gate oxide capacitance and the transistor's W/L geometric ratio. It is the fundamental MOSFET equation in saturation, the basis of analog circuit design. Enter the transconductance parameter, the gate-source voltage and the threshold voltage.
MOSFET Drain Current (Triode)
Computes the drain current of a MOSFET in the triode (linear) region, I_D = k·((V_GS − V_th)·V_DS − V_DS²/2), from the transconductance parameter k (mA/V²), the gate-source voltage V_GS (V), the threshold voltage V_th (V) and the drain-source voltage V_DS (V); the result is in mA. In the triode region (V_DS < V_GS − V_th), the MOSFET behaves as a voltage-controlled resistor: the drain current depends on both V_GS and V_DS. For small V_DS, the relation is approximately linear, and the transistor works as a closed switch or variable resistance. This region is used in analog switches, power circuits and the channel resistance of transistors in conduction. It is the complete MOSFET equation in the linear region. Enter the transconductance parameter, the gate-source, threshold and drain-source voltages.
MOSFET Transconductance
Computes the transconductance of a MOSFET in saturation, g_m = k·(V_GS − V_th), from the transconductance parameter k (mA/V²), the gate-source voltage V_GS (V) and the threshold voltage V_th (V); the result is in mA/V (mS). The transconductance is the derivative of the drain current with respect to the gate-source voltage and measures the transistor gain — how much the output current varies for a given input voltage change. It is the most important parameter of a MOSFET in amplifier design, since it directly determines the stage's voltage gain. The transconductance grows with the overdrive voltage (V_GS − V_th) and with the bias current. Maximising it, respecting power and linearity constraints, is a central goal in analog circuit design. Enter the transconductance parameter, the gate-source voltage and the threshold voltage.
MOSFET Channel Resistance (Triode)
Computes the channel resistance of a MOSFET in the triode region for small V_DS, R_on = 1/(k·(V_GS − V_th)), from the transconductance parameter k (mA/V²), the gate-source voltage V_GS (V) and the threshold voltage V_th (V); the result is in kΩ. When the MOSFET operates in the triode region with very small drain-source voltage, it behaves as a linear resistor whose value is controlled by the gate voltage. The higher the overdrive voltage (V_GS − V_th), the smaller the channel resistance — which is why strongly turning on the gate makes the transistor conduct as a low-resistance switch. The R_on (or R_DS(on)) resistance is a critical specification of power MOSFETs used as switches, since it determines the conduction losses. This calculator provides the on-resistance in the small-signal regime. Enter the transconductance parameter, the gate-source voltage and the threshold voltage.
Collector Current (BJT Transistor)
Computes the collector current of a bipolar junction transistor, I_C = β·I_B, from the current gain β (h_FE) and the base current I_B (mA); the result is in mA. The bipolar transistor amplifies current: a small base current controls a much larger collector current, the current gain β (or h_FE) being the amplification factor, typically between 50 and 300. This is the fundamental relation of the BJT in the active region, the basis of amplifiers and current switches. The gain β depends on the transistor and varies with the current, the temperature and the voltage. Knowing the relation between base and collector current is essential for designing bias circuits and amplification stages with bipolar transistors. Enter the current gain and the base current.
Emitter Current (BJT Transistor)
Computes the emitter current of a bipolar transistor, I_E = (β + 1)·I_B, from the current gain β and the base current I_B (mA); the result is in mA. By Kirchhoff's current law applied to the transistor, the emitter current is the sum of the collector and base currents: I_E = I_C + I_B = β·I_B + I_B = (β + 1)·I_B. Since the gain β is large (typically 100 or more), the emitter current is only slightly larger than the collector current. The emitter current is important in designing bias circuits, especially in configurations with an emitter resistor for thermal stabilisation, and in analysing the operating point of amplifiers. It is one of the three currents that completely describe the state of a bipolar transistor. Enter the current gain and the base current.
BJT Alpha (α) Gain
Computes the common-base current gain (α) of a bipolar transistor, α = β/(β + 1), from the common-emitter current gain β; the result is dimensionless. The α gain is the ratio between the collector current and the emitter current (I_C/I_E), corresponding to the common-base configuration. Since only a small fraction of the emitter current is lost in the base, α is always slightly less than 1 (typically 0.98 to 0.998). The higher the gain β, the closer α gets to 1. The two gains describe the same transistor in different configurations and are directly related. The α gain is used in analysing common-base amplifiers and characterising the transistor's carrier transport efficiency. Enter the current gain β.
BJT Beta (β) from Alpha
Computes the common-emitter current gain (β) of a bipolar transistor from the common-base gain, β = α/(1 − α), from the gain α; the result is dimensionless. It is the inverse form of the relation between the two gains: knowing the common-base current gain α (close to 1), the common-emitter current gain β (large) is obtained. Since β = α/(1 − α), small variations of α near 1 produce large variations of β — for example, α of 0.99 gives β = 99, but α of 0.995 gives β = 199. This sensitivity explains why the β gain of real transistors varies so much between units. The conversion between α and β is routine in analysing bipolar transistor circuits and characterising devices. Enter the gain α.
BJT Transconductance
Computes the transconductance of a bipolar transistor, g_m = I_C/V_T, from the collector current I_C (mA) and the thermal voltage V_T = 25.85 mV at 300 K; the result is in mS (mA/V). The transconductance of a bipolar transistor is the ratio between the collector current and the thermal voltage, being proportional to the bias current. Unlike the MOSFET (whose transconductance grows with the square root of the current), the BJT's grows linearly with the collector current, which gives bipolar transistors high transconductance even at low currents — one of their advantages in amplifiers. The transconductance determines the voltage gain of an amplifier stage and the transition frequency of the transistor. It is a central parameter in bipolar amplifier design. Enter the collector current.
Output Resistance (Early Voltage)
Computes the output resistance of a transistor from the Early voltage, r_o = V_A/I_C, from the Early voltage V_A (V) and the collector current I_C (mA); the result is in kΩ. The Early voltage describes the effect of base-width modulation (in BJTs) or channel-length modulation (in MOSFETs): instead of being an ideal current source, the transistor in the active region has a slight slope in the I-V curve, equivalent to a finite output resistance. This resistance is the Early voltage divided by the collector current — the higher the Early voltage, the closer to ideal the transistor, and the higher the output resistance. The output resistance limits the maximum voltage gain of an amplifier stage (intrinsic gain = g_m·r_o) and is a crucial parameter in designing amplifiers and current sources. Enter the Early voltage and the collector current.
Generated Piezoelectric Charge
Computes the electric charge generated by a piezoelectric material under force, Q = d·F, from the piezoelectric charge constant d (pC/N) and the applied force F (N); the result is in pC (picocoulombs). The direct piezoelectric effect is the generation of electric charge when a material is subjected to mechanical stress. The charge constant d (for example, d₃₃) quantifies how many picocoulombs of charge are generated per newton of force applied in the considered direction. Materials such as quartz, lead zirconate titanate (PZT) and piezoelectric ceramics convert mechanical energy into electrical, being the basis of pressure and force sensors, lighter igniters, pickups and energy harvesting generators. It is the fundamental equation of the direct piezoelectric effect. Enter the charge constant and the applied force.
Generated Piezoelectric Voltage
Computes the open-circuit voltage generated by a piezoelectric material, V = g·t·σ, from the piezoelectric voltage constant g (V·m/N), the material thickness t (m) and the applied mechanical stress σ (Pa); the result is in volts. When a piezoelectric material is compressed, it generates not only charge but also an electric voltage between its faces. The voltage constant g relates the generated electric field to the applied mechanical stress; multiplied by the thickness, it gives the total voltage. Materials with a high g constant generate high voltages from small forces, being ideal for sensors and signal pickups. This voltage is the basis of piezoelectric microphones, hydrophones and impact sensors. Enter the voltage constant, the thickness and the mechanical stress.
Piezoelectric Strain (Inverse Effect)
Computes the strain produced in a piezoelectric material by an electric field, S = d·E, from the piezoelectric charge constant d (pm/V) and the applied electric field E (V/m); the result is converted to microstrain (×10⁻⁶). The inverse piezoelectric effect is the mechanical deformation of a material when subjected to an electric field — the opposite of the direct effect. The same constant d that relates charge and force (in the direct effect) relates strain and electric field (in the inverse effect). This effect is the basis of piezoelectric actuators, used in ultra-high-precision positioning (scanning microscopes, adaptive optics), fuel injection valves, ultrasonic motors and inkjet printers. Enter the charge constant and the electric field.
Piezoelectric Actuator Displacement
Computes the displacement of a stack piezoelectric actuator, Δx = d·V·n, from the piezoelectric charge constant d (pm/V), the applied voltage V (V) and the number of layers n; the result is converted to nm. A stack piezoelectric actuator stacks many thin layers of piezoelectric material, summing each one's displacement to obtain a larger total motion from a modest voltage. Each layer's displacement is the product of the charge constant and the voltage; multiplied by the number of layers, it gives the actuator's total stroke. These actuators provide nanometre to micrometre displacements with high force and extremely fast response, being used in nanopositioning, adaptive optics, diesel injectors and active vibration control. Enter the charge constant, the voltage and the number of layers.
Piezoelectric Voltage Constant (g)
Computes the piezoelectric voltage constant, g = d/(ε₀·ε_r), from the piezoelectric charge constant d (pC/N), the vacuum permittivity ε₀ = 8.854×10⁻¹² F/m and the material relative permittivity ε_r; the result is converted to ×10⁻³ V·m/N. The two fundamental piezoelectric constants — the charge (d) and the voltage (g) — relate through the material permittivity: g = d/ε. The d constant characterises the generated charge (good for actuators and charge generation), while the g constant characterises the electric field (voltage) generated per unit mechanical stress (good for sensors). Materials with high permittivity have a low g constant even with a high d constant, which explains why different materials are chosen for sensors (high g) versus actuators (high d). This relation is central in selecting piezoelectric materials. Enter the charge constant and the relative permittivity.
Critical Magnetic Field (Superconductor)
Computes the critical magnetic field of a superconductor as a function of temperature, H_c(T) = H_c0·(1 − (T/T_c)²), from the critical field at 0 K H_c0 (mT), the temperature T (K) and the critical temperature T_c (K); the result is in mT. A superconductor loses its superconductivity if subjected to a magnetic field above a critical value, which decreases with increasing temperature until reaching zero at the critical temperature T_c. The parabolic dependence on temperature is a universal characteristic of type I superconductors. The critical field defines the operating limit of superconducting devices — MRI electromagnets, particle accelerators and superconducting cables — since above it the material returns to the normal, resistive state. It is a fundamental parameter in superconductivity. Enter the critical field at 0 K, the temperature and the critical temperature.
London Penetration Depth
Computes the London penetration depth as a function of temperature, λ(T) = λ₀/√(1 − (T/T_c)⁴), from the penetration depth at 0 K λ₀ (nm), the temperature T (K) and the critical temperature T_c (K); the result is in nm. The London penetration depth is the depth to which an external magnetic field penetrates a superconductor before being exponentially screened by the supercurrents (Meissner effect). It is one of the two fundamental length scales of superconductivity (the other being the coherence length). The penetration depth diverges as the temperature approaches the critical temperature, since the density of superconducting pairs decreases. The ratio between the penetration depth and the coherence length distinguishes type I from type II superconductors. Enter the penetration depth at 0 K, the temperature and the critical temperature.
BCS Energy Gap (Superconductor)
Computes the superconducting energy gap by BCS theory, E_g = 3.52·k_B·T_c, from the critical temperature T_c (K) and the Boltzmann constant k_B = 8.617×10⁻⁵ eV/K; the result is converted to meV. BCS theory (Bardeen-Cooper-Schrieffer) explains superconductivity by the formation of Cooper pairs — bound electron pairs that move without resistance. The energy gap is the minimum energy needed to break a Cooper pair, opening a gap in the electronic energy spectrum. BCS theory predicts a universal relation between the gap (at 0 K) and the critical temperature: the total gap 2Δ = 3.52·k_B·T_c. This gap can be measured by tunneling spectroscopy and infrared absorption, confirming BCS theory. It is one of the most elegant results of condensed matter physics. Enter the critical temperature.
Critical Current Density (Superconductor)
Computes the critical current density of a superconductor, J_c = I_c/A, from the critical current I_c (A) and the cross-sectional area A (cm²); the result is in A/cm². The critical current density is the maximum current density a superconductor can carry while maintaining the superconducting state (zero resistance). Above it, the material transitions to the normal, resistive state. Together with the critical temperature and the critical magnetic field, the critical current density defines the 'critical surface' that delimits the operating conditions of a superconductor. It is the decisive parameter for power applications — cables, electromagnets and current limiters —, since it determines how much current can flow per unit area. Materials with high J_c enable compact, high-field devices. Enter the critical current and the cross-sectional area.
Critical Current (Superconductor)
Computes the critical current of a superconducting wire or tape, I_c = J_c·A, from the critical current density J_c (A/cm²) and the cross-sectional area A (cm²); the result is in A. It is the inverse form of the critical current density: knowing the material's critical current density (an intrinsic property, dependent on temperature and magnetic field) and the conductor's cross-sectional area, the maximum total current the wire can carry in the superconducting state is calculated. The critical current is the practical specification of superconducting wires and tapes used in electromagnets, transmission cables and power devices: exceeding it causes the transition to the resistive state (quench), with sudden heating and potential device damage. Sizing the critical current is essential in designing superconducting systems. Enter the critical current density and the cross-sectional area.
Seebeck Voltage (Thermoelectric)
Computes the thermoelectric voltage generated by the Seebeck effect, V = S·ΔT, from the Seebeck coefficient S (µV/K) and the temperature difference ΔT (K); the result is converted to mV. The Seebeck effect is the generation of an electric voltage when there is a temperature difference between two points of a conducting or semiconducting material. The charge carriers at the hot end have more energy and diffuse to the cold end, creating a charge accumulation and therefore a potential difference proportional to the temperature difference. It is the operating principle of thermocouples (temperature measurement) and thermoelectric generators, which convert heat directly into electricity. The Seebeck coefficient characterises the magnitude of the effect in each material. Enter the Seebeck coefficient and the temperature difference.
Seebeck Coefficient
Computes the Seebeck coefficient of a material, S = V/ΔT, from the generated thermoelectric voltage V (mV) and the temperature difference ΔT (K); the result is converted to µV/K. The Seebeck coefficient (or thermopower) is the thermoelectric voltage produced per unit temperature difference, being the fundamental property that characterises a material's thermoelectric response. Its value and sign depend on the carrier type: positive for p-type semiconductors (holes) and negative for n-type (electrons). Metals have small coefficients (a few µV/K), while good thermoelectric materials, such as bismuth telluride, reach hundreds of µV/K. Measuring it from the voltage and the temperature difference is the basic step in characterising materials for thermoelectric generators and coolers. Enter the thermoelectric voltage and the temperature difference.
Thermoelectric Figure of Merit (ZT)
Computes the dimensionless thermoelectric figure of merit, ZT = S²·σ·T/κ, from the Seebeck coefficient S (µV/K), the electrical conductivity σ (S/m), the absolute temperature T (K) and the thermal conductivity κ (W/(m·K)); the result is dimensionless. The figure of merit ZT is the parameter determining the efficiency of a thermoelectric material: the higher it is, the better the material converts heat into electricity (or vice versa). A good thermoelectric material must combine a high Seebeck coefficient, high electrical conductivity and low thermal conductivity — a challenge, since these properties are usually interlinked. Materials with ZT near 1 are considered good; values above 2 are research goals. ZT is the central metric in developing thermoelectric generators and coolers. Enter the Seebeck coefficient, the electrical conductivity, the temperature and the thermal conductivity.
Thermoelectric Power Factor
Computes the thermoelectric power factor, PF = S²·σ, from the Seebeck coefficient S (µV/K) and the electrical conductivity σ (S/m); the result is converted to mW/(m·K²). The power factor combines the two electrical properties a good thermoelectric material must maximise: the Seebeck coefficient (which appears squared) and the electrical conductivity. It determines the electrical power density the material can generate from a given temperature difference, independent of the thermal properties. While the figure of merit ZT also includes the thermal conductivity, the power factor focuses on the electrical generation itself — relevant when heat is abundant and the absolute efficiency is less critical than the power density. Optimising it is a central goal in thermoelectric material design. Enter the Seebeck coefficient and the electrical conductivity.
Peltier Heat
Computes the rate of heat pumped by the Peltier effect, Q = S·T·I, from the Seebeck coefficient S (µV/K), the absolute junction temperature T (K) and the electric current I (A); the result is in watts. The Peltier effect is the inverse of the Seebeck effect: when an electric current crosses the junction between two different materials, heat is absorbed on one side and released on the other, allowing heat to be pumped without moving parts. The rate of pumped heat is the product of the Peltier coefficient (Π = S·T) and the current. It is the principle of thermoelectric coolers and heat pumps (Peltier modules), used in cooling electronics, controlling laser temperatures and small portable coolers. Enter the Seebeck coefficient, the junction temperature and the current.
Peltier Coefficient
Computes the Peltier coefficient of a material, Π = S·T, from the Seebeck coefficient S (µV/K) and the absolute temperature T (K); the result is converted to mV. The Peltier coefficient represents the amount of heat transported per unit electric charge crossing a thermoelectric junction, that is, the heat pumped per ampere of current. It is related to the Seebeck coefficient by the second Thomson relation (Π = S·T), which connects the Seebeck, Peltier and Thomson effects in a unified thermodynamic theory. The Peltier coefficient grows with temperature and determines a material's ability to pump heat in thermoelectric coolers and heat pumps. It is a fundamental parameter in the design of Peltier devices. Enter the Seebeck coefficient and the temperature.
Thermoelectric Generator Efficiency
Computes the maximum efficiency of a thermoelectric generator, η = η_C·(√(1+ZT) − 1)/(√(1+ZT) + T_c/T_h), from the figure of merit ZT, the hot temperature T_h (K) and the cold temperature T_c (K), where η_C = (T_h − T_c)/T_h is the Carnot efficiency; the result is in %. The efficiency of a thermoelectric generator is the product of the Carnot efficiency (thermodynamic limit imposed by the temperatures) and a factor depending exclusively on the material's figure of merit ZT. The higher the ZT, the closer the device operates to the Carnot limit. Even with good materials (ZT ≈ 1), the actual efficiency is a modest fraction of Carnot's, which historically limited thermoelectric generators to niches such as space probes (radioisotope generators). Increasing ZT is the path to making thermoelectric generation competitive. Enter the figure of merit and the hot and cold temperatures.
Thermal Conductivity from ZT
Computes the thermal conductivity of a thermoelectric material from the figure of merit, κ = S²·σ·T/ZT, from the Seebeck coefficient S (µV/K), the electrical conductivity σ (S/m), the temperature T (K) and the figure of merit ZT; the result is in W/(m·K). It is the inverse form of the figure of merit: knowing the Seebeck coefficient, the electrical conductivity and the temperature, plus the desired target ZT, the maximum thermal conductivity the material can have to reach that performance is calculated. Since low thermal conductivity is the hardest factor to achieve in thermoelectric materials (high electrical conductivity tends to bring high thermal conductivity), this calculation helps set phonon-engineering targets — for example, how much to reduce the lattice thermal conductivity by nanostructuring to reach a desired ZT. Enter the Seebeck coefficient, the electrical conductivity, the temperature and the ZT.
Wiedemann-Franz Law (Electronic Thermal Conductivity)
Computes the electronic contribution to the thermal conductivity by the Wiedemann-Franz law, κ_e = L·σ·T, from the electrical conductivity σ (S/m), the absolute temperature T (K) and the Lorenz number L = 2.44×10⁻⁸ W·Ω/K²; the result is in W/(m·K). The Wiedemann-Franz law states that, in metals, the ratio between the electronic thermal conductivity and the electrical conductivity is proportional to the temperature, with the Lorenz number as the constant. This reflects the fact that the same electrons that carry charge also carry heat. The law is important in thermoelectricity: it imposes a lower bound on the thermal conductivity of a material with a given electrical conductivity, hindering the achievement of high ZT. Separating the thermal conductivity into electronic (κ_e) and lattice (phonon) parts is essential for thermoelectric design. Enter the electrical conductivity and the temperature.
Maximum Power of Thermoelectric Generator
Computes the maximum electrical power transferred by a thermoelectric generator, P = (S·ΔT)²/(4·R), from the Seebeck coefficient S (µV/K), the temperature difference ΔT (K) and the module internal resistance R (Ω); the result is converted to mW. The open-circuit voltage of a thermoelectric generator is V = S·ΔT. By the maximum power transfer theory, the electrical power delivered to a load is maximum when the load resistance equals the generator's internal resistance, resulting in P = V²/(4·R). This is the ideal operating point to extract the most electrical energy from a given temperature difference. The calculation is essential in sizing thermoelectric generators for waste heat recovery, powering autonomous sensors and remote energy sources. Enter the Seebeck coefficient, the temperature difference and the internal resistance.
Built-in Voltage (p-n Junction)
Computes the built-in voltage (contact potential) of a p-n junction, V_bi = V_T·ln(N_a·N_d/n_i²), from the acceptor concentration N_a (cm⁻³), the donor concentration N_d (cm⁻³), the intrinsic concentration n_i (cm⁻³) and the thermal voltage V_T = 0.02585 V at 300 K; the result is in volts. The built-in voltage is the potential barrier that forms spontaneously at the junction between the p-type and n-type regions of a semiconductor, due to carrier diffusion and the resulting electric field in the depletion region. It determines how much the carriers must overcome to cross the junction and is the basis of the rectifying behaviour of diodes. The more doped the regions, the higher the built-in voltage. It is a fundamental parameter in the design of diodes, transistors and solar cells. Enter the acceptor, donor and intrinsic concentrations.
Depletion Region Width
Computes the depletion region width of a p-n junction, W = √(2·ε·V_bi/q·(1/N_a + 1/N_d)), from the built-in voltage V_bi (V), the acceptor N_a and donor N_d concentrations (cm⁻³) and the relative permittivity ε_r (ε = ε_r·8.854×10⁻¹⁴ F/cm, q = 1.602×10⁻¹⁹ C); the result is converted to µm. The depletion region is the zone around the p-n junction emptied of mobile carriers, where an electric field exists due to the fixed charges of the dopant ions. Its width depends on the built-in voltage, the doping and the material permittivity: less doped regions have a wider depletion. The depletion width determines the junction capacitance and the breakdown voltage, being crucial in the design of diodes, varactors and power devices. Enter the built-in voltage, the concentrations and the relative permittivity.
Diode Current (Shockley Equation)
Computes the current through a diode by the Shockley equation, I = I_s·(exp(V/(n·V_T)) − 1), from the reverse saturation current I_s (A), the applied voltage V (V), the ideality factor n and the thermal voltage V_T = 0.02585 V at 300 K; the result is converted to mA. The Shockley equation describes the fundamental current-voltage relation of a p-n junction. In forward bias, the current grows exponentially with the voltage, giving the diode its rectifying behaviour; in reverse bias, the current saturates at the small value I_s. The ideality factor n (between 1 and 2) reflects the recombination mechanisms. This is the central equation of semiconductor electronics, the basis of the operation of diodes, LEDs, solar cells and transistor junctions. Enter the saturation current, the voltage and the ideality factor.
Diode Voltage (from Current)
Computes the voltage drop across a diode from the current through it, V = n·V_T·ln(I/I_s + 1), from the forward current I (A), the reverse saturation current I_s (A), the ideality factor n and the thermal voltage V_T = 0.02585 V at 300 K; the result is in volts. It is the inverse form of the Shockley equation: knowing the current flowing through the diode, the voltage drop across its terminals is calculated. Since the relation is exponential, the voltage varies little (logarithmically) with large current variations — which is why the forward voltage drop of a silicon diode is around 0.6 to 0.7 V over a wide current range. This calculation is essential in analysing diode circuits, designing voltage reference sources and modelling junctions. Enter the current, the saturation current and the ideality factor.
Diode Ideality Factor
Computes the ideality factor of a diode from two points of the I-V curve, n = (V₂ − V₁)/(V_T·ln(I₂/I₁)), from the voltages V₁ and V₂ (V) and the corresponding currents I₁ and I₂ (A), with the thermal voltage V_T = 0.02585 V at 300 K; the result is dimensionless. The ideality factor (or quality factor) characterises how much a real diode's behaviour departs from the ideal predicted by the Shockley equation. A value n = 1 indicates the current is dominated by carrier diffusion (ideal diode); n = 2 indicates the predominance of recombination in the depletion region; intermediate values reflect the mixture of these mechanisms. Determining it from the slope of the I-V curve on a semi-logarithmic scale is a standard way to characterise junction quality and diagnose defects. Enter the two voltages and the two currents.
Fill Factor (Solar Cell)
Computes the fill factor of a solar cell, FF = (V_mp·I_mp)/(V_oc·I_sc), from the voltage and current at the maximum power point (V_mp, I_mp), the open-circuit voltage V_oc and the short-circuit current I_sc (same units); the result is dimensionless. The fill factor measures the 'quality' of a solar cell's I-V characteristic curve: it is the ratio between the actual maximum power and the product V_oc·I_sc (the ideal maximum power of a rectangle). Geometrically, it is how 'square' the I-V curve is. High-quality cells have FF between 0.7 and 0.85; low values indicate resistive losses (series resistance) or leakage currents (shunt resistance). Together with V_oc and I_sc, the fill factor determines the cell efficiency. It is a central parameter in characterising photovoltaic devices. Enter the maximum power voltage and current, the open-circuit voltage and the short-circuit current.
Solar Cell Maximum Power
Computes the maximum power delivered by a solar cell, P_max = V_oc·I_sc·FF, from the open-circuit voltage V_oc (V), the short-circuit current I_sc (A) and the fill factor FF; the result is in watts. The maximum power is the greatest power a solar cell can deliver, occurring at the maximum power point of the I-V curve. It is the product of the three fundamental parameters characterising the cell: the open-circuit voltage, the short-circuit current and the fill factor. Each of them depends on different aspects of the device — V_oc on the material and recombination, I_sc on light absorption, and FF on electrical quality. The maximum power, divided by the incident light power, gives the cell efficiency. It is the central figure of merit in the design and comparison of photovoltaic cells. Enter the open-circuit voltage, the short-circuit current and the fill factor.
Junction Capacitance
Computes the capacitance of a p-n junction, C_j = ε·A/W, from the relative permittivity ε_r (ε = ε_r·8.854×10⁻¹⁴ F/cm), the junction area A (cm²) and the depletion region width W (µm); the result is converted to pF. The depletion region of a p-n junction, emptied of carriers, behaves like the dielectric of a parallel-plate capacitor, with the neutral p-type and n-type regions acting as the plates. The junction capacitance is inversely proportional to the depletion width, which in turn depends on the applied reverse voltage — which is why the capacitance varies with voltage, a property exploited in varactors (variable-capacitance diodes) used in tuners and voltage-controlled oscillators. The junction capacitance also limits the switching speed of diodes and transistors. Enter the relative permittivity, the area and the depletion width.
Debye Length (Semiconductor)
Computes the Debye length of a semiconductor, L_D = √(ε·V_T/(q·N)), from the relative permittivity ε_r (ε = ε_r·8.854×10⁻¹⁴ F/cm), the thermal voltage V_T = 0.02585 V at 300 K, the elementary charge q = 1.602×10⁻¹⁹ C and the dopant concentration N (cm⁻³); the result is converted to nm. The Debye length is the characteristic distance over which an electric field (or a charge perturbation) is screened by the mobile carriers in a semiconductor. It determines the spatial scale of potential variations and the transition between the neutral and depletion regions. In heavily doped materials, the Debye length is short (efficient screening); in lightly doped materials, it is long. It is a fundamental parameter in the physics of junctions, interfaces and small-dimension devices, where it sets the miniaturisation limit. Enter the relative permittivity and the dopant concentration.
Open-Circuit Voltage (Solar Cell)
Computes the open-circuit voltage of a solar cell, V_oc = n·V_T·ln(I_L/I_s + 1), from the photogenerated current I_L (A), the reverse saturation current I_s (A), the ideality factor n and the thermal voltage V_T = 0.02585 V at 300 K; the result is in volts. The open-circuit voltage is the maximum voltage a solar cell delivers, obtained when the terminals are open (zero current). It occurs when the photogenerated current is exactly balanced by the cell diode's forward recombination current. V_oc grows logarithmically with the light intensity (which increases I_L) and decreases with the saturation current (which reflects recombination). It is one of the cell's three fundamental parameters (together with I_sc and the fill factor) and limits the efficiency: larger-gap materials tend to have higher V_oc. Enter the photogenerated current, the saturation current and the ideality factor.
Curie Law (Magnetic Susceptibility)
Computes the magnetic susceptibility of a paramagnetic material by Curie's law, χ = C/T, from the Curie constant C (K) and the absolute temperature T (K); the result is dimensionless. Curie's law describes the behaviour of paramagnetic materials: the magnetic susceptibility — the measure of how easily the material magnetises in response to an applied field — is inversely proportional to the temperature. As the temperature increases, thermal agitation misaligns the magnetic moments and the susceptibility decreases. The Curie constant depends on the effective magnetic moment of the atoms. This law is valid for ideal paramagnets and is the basis for understanding temperature-dependent magnetic behaviour, used in the magnetic characterisation of materials. Enter the Curie constant and the temperature.
Curie-Weiss Law
Computes the magnetic susceptibility by the Curie-Weiss law, χ = C/(T − θ), from the Curie constant C (K), the absolute temperature T (K) and the Weiss temperature θ (K); the result is dimensionless. The Curie-Weiss law generalises Curie's law for materials with magnetic interactions between atoms, including the paramagnetic phase above the transition temperature of ferromagnetic and antiferromagnetic materials. The Weiss temperature θ reflects the strength and sign of these interactions: positive θ indicates ferromagnetic coupling (moments tend to align), and negative θ, antiferromagnetic. When T approaches θ from the right, the susceptibility diverges, signalling the transition to the ordered state. It is fundamental in characterising magnetic materials. Enter the Curie constant, the temperature and the Weiss temperature.
Weiss Temperature (from χ)
Computes the Weiss temperature from the measured susceptibility, θ = T − C/χ, from the temperature T (K), the Curie constant C (K) and the magnetic susceptibility χ; the result is in K. It is the inverse form of the Curie-Weiss law: by measuring a material's magnetic susceptibility at a known temperature and with the Curie constant known, the Weiss temperature θ is determined. This value, obtained experimentally from the slope and intercept of the 1/χ versus T plot, characterises the material's magnetic interactions: its sign and magnitude indicate whether the material is ferromagnetic, antiferromagnetic or paramagnetic, and approximately at what temperature the transition to magnetic order occurs. It is a central parameter in investigating new magnetic materials. Enter the temperature, the Curie constant and the susceptibility.
Magnetic Induction in a Material
Computes the magnetic induction (flux density) in a material, B = µ₀·µ_r·H, from the relative permeability µ_r, the applied magnetic field H (A/m) and the vacuum permeability µ₀ = 1.2566×10⁻⁶ T·m/A; the result is in tesla (T). The magnetic induction B is the material's response to the applied magnetic field H. In magnetic materials, the relative permeability µ_r enormously amplifies this response: ferromagnetic materials such as iron have µ_r of thousands, concentrating the magnetic flux — a property that makes them essential in transformer cores, motors and electromagnets. In vacuum, µ_r = 1 and B = µ₀·H. The B-H relation is the basis for designing magnetic circuits and characterising soft magnetic materials. Enter the relative permeability and the applied magnetic field.
Relative Magnetic Permeability
Computes the relative magnetic permeability of a material, µ_r = 1 + χ, from the magnetic susceptibility χ; the result is dimensionless. The relative permeability relates the magnetic induction in the material to that which would exist in vacuum under the same field, being the measure of how much the material amplifies (or reduces) the magnetic field. It relates directly to the susceptibility: for paramagnetic materials, µ_r is slightly greater than 1; for diamagnetic, slightly less; and for ferromagnetic, it can reach tens of thousands. The relative permeability is the key property in selecting materials for magnetic cores, magnetic shielding and electromagnetic devices. This calculator obtains it from the measured susceptibility. Enter the magnetic susceptibility.
Magnetic Susceptibility (M/H)
Computes the magnetic susceptibility of a material, χ = M/H, from the magnetisation M (A/m) and the applied magnetic field H (A/m); the result is dimensionless. The magnetic susceptibility is the ratio between the magnetisation induced in a material and the magnetic field that produces it, measuring the material's tendency to magnetise. Its value and sign classify the material: positive and small for paramagnets, negative and small for diamagnets, and positive and very large for ferromagnets. It is a fundamental property obtained directly from magnetisation measurements as a function of the applied field, used to identify the type of magnetic behaviour and quantify the material's response. The susceptibility relates to the permeability by µ_r = 1 + χ. Enter the magnetisation and the magnetic field.
Magnetisation of a Material
Computes the magnetisation of a material, M = χ·H, from the magnetic susceptibility χ and the applied magnetic field H (A/m); the result is in A/m. The magnetisation is the magnetic moment per unit volume induced in a material when subjected to a magnetic field. It is proportional to the applied field, with the magnetic susceptibility as the proportionality constant (in the linear regime). The magnetisation represents the alignment of the atomic magnetic moments with the external field: the higher the susceptibility, the more intense the magnetisation for a given field. In ferromagnetic materials, the magnetisation reaches a saturation value when all moments are aligned. It is the quantity describing the material's internal magnetic response. Enter the susceptibility and the magnetic field.
Demagnetizing Field
Computes the demagnetizing field of a magnetised sample, H_d = N·M, from the demagnetization factor N (between 0 and 1, geometry-dependent) and the magnetisation M (A/m); the result is in A/m. When a material is magnetised, the magnetic poles arising at its surfaces generate, inside it, a field that opposes the magnetisation — the demagnetizing field. Its intensity depends on the sample shape through the demagnetization factor N: a sphere has N = 1/3 in all directions; a long cylinder magnetised axially has N close to 0 (little demagnetization); a thin disc magnetised perpendicularly has N close to 1. The demagnetizing field reduces the effective field inside the material and must be corrected in precise magnetic measurements. Enter the demagnetization factor and the magnetisation.
Hysteresis Loss (Steinmetz)
Computes the magnetic hysteresis power loss by the Steinmetz equation, P_h = K_h·f·B_max^n, from the material hysteresis coefficient K_h, the frequency f (Hz), the maximum induction B_max (T) and the Steinmetz exponent n (typically 1.6 to 2); the result is in W/m³. Each magnetisation and demagnetisation cycle of a ferromagnetic material dissipates energy, proportional to the area of the B-H hysteresis loop. In an alternating field, this loss repeats every cycle, resulting in a dissipated power proportional to the frequency. The empirical Steinmetz equation quantifies this loss as a function of the maximum induction and the frequency. The hysteresis loss, together with the eddy current losses, determines the efficiency of transformer and motor magnetic cores — minimising it is a central goal in soft magnetic material design. Enter the hysteresis coefficient, the frequency, the maximum induction and the exponent.
Magnetic Energy Density
Computes the energy density stored in a magnetic field, u = B²/(2·µ₀), from the magnetic induction B (T) and the vacuum permeability µ₀ = 1.2566×10⁻⁶ T·m/A; the result is in J/m³. The magnetic energy density is the energy stored per unit volume in a magnetic field, growing with the square of the induction. It is the quantity determining the energy stored in inductors, electromagnets and permanent magnets, as well as the force between magnetic poles. In permanent magnets, the maximum energy product (BH)_max — related to this density — is the figure of merit measuring how 'strong' the material is, being crucial in selecting magnets for motors, generators and devices. The higher the achievable induction, the more energy the field stores. Enter the magnetic induction.
Intrinsic Carrier Concentration
Computes the intrinsic carrier concentration of a semiconductor, n_i = √(N_c·N_v)·exp(−E_g/(2·k·T)), from the effective densities of states in the conduction band N_c and valence band N_v (cm⁻³), the band gap energy E_g (eV), the Boltzmann constant k = 8.617×10⁻⁵ eV/K and the temperature T (K); the result is converted to ×10⁹ cm⁻³. In a pure (intrinsic) semiconductor, thermal agitation promotes electrons from the valence band to the conduction band, creating electron-hole pairs in equal numbers — this is the intrinsic concentration. It grows exponentially with temperature and decreases with the gap width: wide-gap semiconductors have very few intrinsic carriers. For silicon at 300 K, n_i ≈ 10¹⁰ cm⁻³. It is the fundamental quantity determining the intrinsic conductivity and the behaviour of semiconductor devices. Enter the densities of states, the gap energy and the temperature.
Semiconductor Conductivity
Computes the electrical conductivity of a semiconductor, σ = q·(n·µ_n + p·µ_p), from the electron concentration n (cm⁻³), the electron mobility µ_n (cm²/(V·s)), the hole concentration p (cm⁻³) and the hole mobility µ_p (cm²/(V·s)), with the elementary charge q = 1.602×10⁻¹⁹ C; the result is in (Ω·cm)⁻¹. In a semiconductor, the current is conducted by two types of carriers — electrons in the conduction band and holes in the valence band —, each contributing in proportion to its concentration and mobility. In n-type doped material, electrons dominate; in p-type, holes. The conductivity can be tuned by many orders of magnitude by varying the doping, which is what makes semiconductors so versatile in electronics. This is the fundamental equation relating carriers and conduction. Enter the electron and hole concentrations and mobilities.
Intrinsic Conductivity
Computes the intrinsic conductivity of a pure semiconductor, σ_i = q·n_i·(µ_n + µ_p), from the intrinsic carrier concentration n_i (cm⁻³), the electron mobility µ_n and the hole mobility µ_p (cm²/(V·s)), with the elementary charge q = 1.602×10⁻¹⁹ C; the result is converted to ×10⁻⁶ (Ω·cm)⁻¹. In an intrinsic semiconductor, the electron and hole concentrations are both equal to n_i, so both carrier types contribute to conduction. Since n_i is very low (≈ 10¹⁰ cm⁻³ for silicon at 300 K), the intrinsic conductivity is extremely small — which is why pure semiconductors are almost insulators at room temperature. Doping increases the conductivity by many orders of magnitude. This calculator provides the conduction of the undoped material. Enter the intrinsic concentration and the carrier mobilities.
Mass Action Law (Carriers)
Computes the minority carrier concentration by the mass action law, p = n_i²/n, from the intrinsic concentration n_i (cm⁻³) and the majority carrier concentration n (cm⁻³); the result is in cm⁻³. The mass action law states that, at thermal equilibrium, the product of the electron and hole concentrations is constant and equal to the square of the intrinsic concentration: n·p = n_i². This means that increasing the concentration of one carrier type by doping proportionally reduces that of the other. In an n-type semiconductor with many electrons, the hole (minority) concentration becomes very small. This relation is essential for calculating the minority carrier concentrations, which govern the behaviour of p-n junctions, transistors and optoelectronic devices. Enter the intrinsic concentration and the majority concentration.
Hall Coefficient
Computes the Hall coefficient of a material, R_H = 1/(q·n), from the carrier concentration n (cm⁻³) and the elementary charge q = 1.602×10⁻¹⁹ C; the result is in cm³/C. The Hall effect arises when a current-carrying conductor is subjected to a perpendicular magnetic field: the carriers are deflected laterally, generating a transverse voltage (Hall voltage). The Hall coefficient is inversely proportional to the carrier concentration and its sign reveals the carrier type (negative for electrons, positive for holes). Hall effect measurement is the standard technique for determining the concentration and type of carriers in semiconductors, plus the mobility when combined with the conductivity. It is fundamental in semiconductor material characterisation. Enter the carrier concentration.
Carrier Concentration (Hall Effect)
Computes the carrier concentration from the measured Hall coefficient, n = 1/(q·R_H), from the Hall coefficient R_H (cm³/C) and the elementary charge q = 1.602×10⁻¹⁹ C; the result is converted to ×10¹⁶ cm⁻³. It is the inverse form of the Hall coefficient: by measuring the Hall coefficient of a sample (from the Hall voltage, the current and the magnetic field), the concentration of carriers conducting the current is directly determined. This is the main practical application of the Hall effect in semiconductor characterisation: besides the concentration, the coefficient sign indicates whether the majority carriers are electrons (n-type) or holes (p-type). Combined with the conductivity measurement, it also allows obtaining the mobility. It is a routine measurement in materials and device laboratories. Enter the Hall coefficient.
Hall Mobility
Computes the Hall mobility of a semiconductor, µ_H = R_H·σ, from the Hall coefficient R_H (cm³/C) and the conductivity σ ((Ω·cm)⁻¹); the result is in cm²/(V·s). The Hall mobility combines two measurements — the Hall effect (which gives the Hall coefficient and therefore the carrier concentration) and the conductivity — to obtain the carrier mobility, that is, the ease with which they move under an electric field. Mobility is a key property of semiconductors: it determines the carrier speed and, together with the concentration, the conductivity. High-mobility materials (such as GaAs) enable faster devices. The Hall-conductivity measurement is the standard method for characterising mobility in semiconductor samples. Enter the Hall coefficient and the conductivity.
Band Gap from Wavelength
Computes the band gap energy of a semiconductor from the absorption (or emission) wavelength, E_g = 1240/λ, from the wavelength λ (nm); the result is in eV. The constant 1240 (in eV·nm) comes from the product h·c expressed in these units. The gap energy determines the wavelength of light a semiconductor can absorb or emit: photons with energy greater than E_g are absorbed (promoting electrons across the gap), and carrier recombination emits photons with energy close to E_g. This relation is the basis for the design of LEDs, photodiodes, solar cells and semiconductor lasers — the colour of light emitted by an LED is defined by the material's gap energy. Measuring the absorption wavelength is a direct way to determine the gap. Enter the wavelength.
Emission Wavelength (from Gap)
Computes the wavelength of light emitted by a semiconductor, λ = 1240/E_g, from the band gap energy E_g (eV); the result is in nm. It is the inverse form of the gap-wavelength relation: knowing the gap energy of a semiconductor material, the wavelength (and therefore the colour) of the light it emits when electrons and holes recombine across the gap is predicted. This is the central equation in the design of light-emitting optoelectronic devices: it determines the colour of an LED or the wavelength of a semiconductor laser from the chosen material. For example, a gap of 1.9 eV emits in the red, while larger gaps emit in green and blue. Adjusting the composition of semiconductor alloys (such as InGaN) allows tuning the colour. Enter the gap energy.
Carrier Drift Velocity
Computes the drift velocity of charge carriers, v_d = µ·E, from the mobility µ (cm²/(V·s)) and the applied electric field E (V/cm); the result is in cm/s. When an electric field is applied to a semiconductor, the charge carriers (electrons or holes) acquire, on top of their random thermal motion, a net average velocity in the field direction — the drift velocity. It is proportional to the electric field, with the mobility as the proportionality constant, in the low-field regime. The drift velocity determines the current that flows and the carrier transit time in a device, governing the maximum operating speed. At very high fields, the velocity saturates, limiting the performance. It is a fundamental concept in the operation of transistors and high-frequency devices. Enter the mobility and the electric field.
Equilibrium Temperature (ΔG = 0)
Computes the equilibrium temperature of a reaction, T_eq = ΔH/ΔS, from the enthalpy change ΔH (kJ/mol) and the entropy change ΔS (J/(mol·K)); the result is in K. The equilibrium temperature is the one at which the reaction's Gibbs free energy vanishes (ΔG = 0), marking the boundary between the spontaneous and non-spontaneous domains. Below (or above) this temperature, depending on the signs of ΔH and ΔS, the reaction reverses its direction of spontaneity. It is a central parameter in extractive metallurgy and phase transformations: it defines, for example, the temperature from which an oxide can be reduced by a reducing agent, or at which a phase transformation becomes favourable. It is the basis for interpreting Ellingham diagrams. Enter the enthalpy change and the entropy change.
Equilibrium Constant from ΔG
Computes the thermodynamic equilibrium constant from the Gibbs free energy, K = exp(−ΔG/(R·T)), from the Gibbs free energy change ΔG (kJ/mol), the gas constant R = 8.314 J/(mol·K) and the absolute temperature T (K); the result is dimensionless. The relation ΔG = −R·T·ln(K) connects thermodynamics (a reaction's free energy) to the equilibrium composition (the equilibrium constant). A very negative ΔG corresponds to a large equilibrium constant, indicating the reaction strongly tends towards products; a positive ΔG gives K < 1, favouring the reactants. Unlike the equilibrium constant calculated from measured concentrations, this is the thermodynamic constant predicted from free energy data. It is fundamental in metallurgy, electrochemistry and process chemistry. Enter the Gibbs free energy and the temperature.
Gibbs Free Energy from K
Computes the Gibbs free energy change from the equilibrium constant, ΔG = −R·T·ln(K), from the equilibrium constant K, the gas constant R = 8.314 J/(mol·K) and the absolute temperature T (K); the result is in kJ/mol. It is the inverse form of the relation between free energy and equilibrium: with the equilibrium constant of a reaction at a given temperature measured or known, the corresponding Gibbs free energy change is calculated. This conversion allows obtaining thermodynamic data from experimental equilibrium measurements — for example, determining the ΔG of formation of a compound from the equilibrium composition, or assessing the spontaneity of a reaction whose K was measured. It is widely used in thermochemistry and in building thermodynamic tables. Enter the equilibrium constant and the temperature.
Ideal Free Energy of Mixing
Computes the Gibbs free energy of mixing of an ideal binary solution, ΔG_mix = R·T·(x_A·ln x_A + x_B·ln x_B), from the mole fraction of component A (x_A, with x_B = 1 − x_A), the temperature T (K) and the constant R = 8.314 J/(mol·K); the result is in kJ/mol. In an ideal solution, there is no heat of mixing (ΔH_mix = 0), so the free energy of mixing comes entirely from the entropy increase upon mixing the components. Since the logarithms of mole fractions are negative, ΔG_mix is always negative, indicating that mixing is spontaneous — the components mutually dissolve. This term is the thermodynamic basis for the formation of solid and liquid solutions and appears in phase diagram models. The most negative value occurs at the equimolar composition. Enter the mole fraction of A and the temperature.
Ideal Entropy of Mixing
Computes the entropy of mixing of an ideal binary solution, ΔS_mix = −R·(x_A·ln x_A + x_B·ln x_B), from the mole fraction of component A (x_A, with x_B = 1 − x_A) and the constant R = 8.314 J/(mol·K); the result is in J/(mol·K). The entropy of mixing measures the increase in disorder upon combining two components in a solution, due to the larger number of possible atomic arrangements. Since the logarithms of mole fractions are negative, ΔS_mix is always positive, reflecting the entropy gain that makes mixing spontaneous. It is the only contribution to the free energy of mixing in ideal solutions and the fundamental entropic term in regular solution and phase diagram models. The maximum value occurs at the equimolar composition, where the configurational disorder is greatest. Enter the mole fraction of A.
Thermodynamic Activity
Computes the thermodynamic activity of a component in solution, a = γ·x, from the activity coefficient γ and the mole fraction x; the result is dimensionless. The activity is the 'effective concentration' of a component in a real solution, correcting the mole fraction by the activity coefficient, which captures the deviations from ideal behaviour. In an ideal solution, γ = 1 and the activity equals the mole fraction (Raoult's law). Activity coefficients greater than 1 indicate positive deviations (tendency to phase separation) and less than 1, negative deviations (attraction between components). The activity replaces concentration in rigorous thermodynamic expressions — equilibrium constants, chemical potentials and phase equilibrium calculations —, being essential in the thermodynamics of metallic and chemical solutions. Enter the activity coefficient and the mole fraction.
Equilibrium Vacancy Concentration
Computes the equilibrium concentration of vacancies in a crystal, n_v/N = exp(−Q_v/(k·T)), from the vacancy formation energy Q_v (eV), the Boltzmann constant k = 8.617×10⁻⁵ eV/K and the absolute temperature T (K); the result is converted to ×10⁻⁶ (atomic fraction). Vacancies are the most common point defects in crystals — empty atomic sites in the lattice. Their equilibrium concentration is determined by the competition between the energy needed to create them and the entropy gain they provide, resulting in an exponential dependence on temperature. The higher the temperature, the more vacancies. Vacancies are essential for vacancy-mechanism diffusion, creep and defect annealing. This calculator provides the equilibrium fraction of empty sites. Enter the vacancy formation energy and the temperature.
Vacancy Formation Energy
Computes the vacancy formation energy from the measured vacancy concentration, Q_v = −k·T·ln(n_v/N), from the vacancy fraction n_v/N, the Boltzmann constant k = 8.617×10⁻⁵ eV/K and the absolute temperature T (K); the result is in eV. It is the inverse form of the equilibrium vacancy concentration: by measuring the fraction of empty sites in a crystal at a known temperature (for example, by dilatometry or resistivity), the energy needed to form a vacancy is determined. The vacancy formation energy is a characteristic property of each metal (typically between 0.5 and 2 eV) and is related to the bonding energy and the melting point. Knowing it allows predicting the vacancy concentration at any temperature and modelling diffusion-controlled processes. Enter the vacancy fraction and the temperature.
Equilibrium Oxygen Pressure (Ellingham)
Computes the logarithm of the equilibrium oxygen partial pressure with an oxide, log₁₀(p_O₂) = ΔG/(R·T·ln 10), from the oxide formation free energy ΔG (kJ/mol of O₂), the constant R = 8.314 J/(mol·K) and the absolute temperature T (K); the result is the log₁₀ of the pressure in atm. The equilibrium oxygen partial pressure (or dissociation pressure) indicates how stable an oxide is: the more negative the formation free energy, the lower the O₂ pressure needed to maintain it, and the more stable the oxide. This value, read on the nomographic p_O₂ scale of Ellingham diagrams, determines whether a metal will oxidise or an oxide will be reduced in a given atmosphere. It is essential in extractive metallurgy, furnace atmosphere control and materials processing. Enter the formation free energy and the temperature.
Reaction Enthalpy by Temperature (Kirchhoff)
Computes the enthalpy change of a reaction at a new temperature by Kirchhoff's law, ΔH(T₂) = ΔH(T₁) + ΔC_p·(T₂ − T₁), from the enthalpy at the reference temperature ΔH(T₁) (kJ/mol), the heat capacity change ΔC_p (J/(mol·K)) and the temperatures T₁ and T₂ (K); the result is in kJ/mol. Kirchhoff's law describes how a reaction's heat varies with temperature: the difference between the heat capacities of the products and reactants (ΔC_p) determines the rate of this variation. Knowing the reaction enthalpy at a tabulated temperature (usually 298 K), its value at any other temperature is calculated — essential for energy balances of processes occurring outside standard conditions, such as high-temperature metallurgical reactions. Enter the reference enthalpy, the heat capacity change and the two temperatures.
Transformed Fraction (Avrami/JMAK)
Computes the transformed fraction in a phase transformation by the Avrami (JMAK) equation, X = 1 − exp(−k·tⁿ), from the rate constant k, the time t and the Avrami exponent n; the result is the fraction (between 0 and 1). The Avrami equation (also called Johnson-Mehl-Avrami-Kolmogorov, JMAK) describes the kinetics of phase transformations that occur by nucleation and growth, such as recrystallisation, polymer crystallisation and solid-state transformations in metals. The resulting curve has the characteristic sigmoidal ('S') shape: the transformation starts slowly (nucleation), accelerates (growth) and decelerates at the end (grain impingement). The exponent n reflects the nucleation mechanism and the growth dimensionality. It is the basis for constructing TTT diagrams and modelling heat treatments. Enter the rate constant, the time and the Avrami exponent.
Transformation Time (Avrami)
Computes the time needed to reach a given transformed fraction by the Avrami equation, t = (−ln(1 − X)/k)^(1/n), from the desired transformed fraction X (between 0 and 1), the rate constant k and the Avrami exponent n; the result is the time. It is the inverse form of the Avrami equation: with the desired transformation fraction defined (for example, 50% for the half-transformation time, or 99% for practically complete transformation) and the kinetic parameters k and n known, the time needed at a given temperature is calculated. This calculation is used in constructing TTT (Time-Temperature-Transformation) diagrams and in defining holding times in heat treatments such as annealing, recrystallisation and ageing. Enter the desired fraction, the rate constant and the Avrami exponent.
Avrami Rate Constant (k)
Computes the rate constant of the Avrami equation, k = −ln(1 − X)/tⁿ, from the transformed fraction X (between 0 and 1) measured at a time t, and the Avrami exponent n; the result is the constant k. The rate constant k encompasses the nucleation and growth rates of the transformation at a given temperature, being strongly temperature-dependent (typically following an Arrhenius relation). Determining it from a known experimental point (a transformed fraction measured at a time) allows characterising the transformation kinetics and, combined with the exponent n, predicting the transformation progress at any time. It is an essential step in modelling heat treatments and constructing kinetic curves. Enter the transformed fraction, the time and the Avrami exponent.
Avrami Exponent (n)
Computes the Avrami exponent from two points of the transformation curve, n = ln(ln(1/(1−X₂))/ln(1/(1−X₁)))/ln(t₂/t₁), with the transformed fractions X₁ and X₂ measured at times t₁ and t₂; the result is the exponent n. The Avrami exponent is the slope of the line in the plot of ln(ln(1/(1−X))) versus ln(t), and its value reveals the transformation mechanism: it indicates the growth dimensionality (1D, 2D, 3D) and the type of nucleation (constant rate, site saturation). For example, n close to 3-4 suggests three-dimensional growth, while smaller values indicate growth in plates or needles. Determining n from two experimental points is the practical way to analyse the kinetics of a phase transformation. Enter the two transformed fractions and the two times.
Transverse Composite Modulus (Reuss)
Computes the transverse elastic modulus of a fibre-reinforced composite by the inverse rule of mixtures (Reuss model), E_ct = E_f·E_m/(V_f·E_m + (1−V_f)·E_f), from the fibre volume fraction V_f, the fibre modulus E_f and the matrix modulus E_m (GPa); the result is in GPa. When the loading is perpendicular to the fibres, fibre and matrix deform in series (under the same stress), and the composite modulus is dominated by the more flexible phase — the matrix. Therefore, the transverse modulus is much smaller than the longitudinal one (Voigt model, loading parallel to the fibres). This anisotropy is a fundamental characteristic of unidirectional composites and must be considered in design, since the stiffness depends strongly on the loading direction. Enter the fibre volume fraction and the fibre and matrix moduli.
Composite Density (Rule of Mixtures)
Computes the density of a composite by the rule of mixtures, ρ_c = V_f·ρ_f + (1−V_f)·ρ_m, from the fibre volume fraction V_f, the fibre density ρ_f and the matrix density ρ_m (g/cm³); the result is in g/cm³. The density of a composite is the weighted average of the densities of its constituents by each one's volume fraction — a direct application of the rule of mixtures, valid because mass and volume are additive. It is an essential calculation in composite design, especially in aerospace and automotive applications, where the low density combined with high stiffness (assessed by the specific modulus) is the main advantage of these materials. Knowing the density is necessary to calculate specific properties (per unit mass) and the final component weight. Enter the fibre volume fraction and the fibre and matrix densities.
Fibre/Matrix Load Ratio
Computes the ratio between the load borne by the fibres and that borne by the matrix in a composite under longitudinal loading, F_f/F_m = (E_f·V_f)/(E_m·(1−V_f)), from the fibre modulus E_f, the fibre volume fraction V_f and the matrix modulus E_m (same unit); the result is dimensionless. In a composite loaded parallel to the fibres, fibre and matrix undergo the same strain, so the fraction of the load borne by each phase is proportional to the product of its modulus and its volume fraction. Since the fibres are much stiffer than the matrix, they bear most of the load — this is the principle of fibre reinforcement. The load ratio quantifies this division and shows the reinforcement efficiency: the higher, the more the fibres dominate the mechanical behaviour. Enter the fibre modulus, the volume fraction and the matrix modulus.
Composite Strength (Rule of Mixtures)
Computes the longitudinal strength of a continuous-fibre-reinforced composite by the rule of mixtures, σ_c = V_f·σ_f + (1−V_f)·σ_m, from the fibre volume fraction V_f, the fibre strength σ_f (MPa) and the matrix stress σ_m (MPa); the result is in MPa. In the fibre direction, the composite strength is the weighted sum of the fibre and matrix contributions by the volume fraction. Since the fibres are much stronger than the matrix, they govern the longitudinal strength of the composite, which grows with the fibre fraction. This calculation, based on iso-strain, is an upper-bound estimate of the strength and is fundamental in the design of laminates and composite structures. The transverse and shear strengths, dominated by the matrix, are much smaller. Enter the fibre volume fraction, the fibre strength and the matrix stress.
Composite Thermal Expansion (Longitudinal)
Computes the longitudinal thermal expansion coefficient of a composite, α_c = (V_f·E_f·α_f + (1−V_f)·E_m·α_m)/(V_f·E_f + (1−V_f)·E_m), from the fibre volume fraction V_f, the moduli E_f and E_m and the thermal expansion coefficients of the fibre α_f and the matrix α_m (×10⁻⁶/°C); the result is in ×10⁻⁶/°C. In the fibre direction, the composite's thermal expansion is a weighted average by the moduli and volume fractions — unlike the other properties, the weighting here involves the stiffness, since the stiffer phase restrains the other's expansion. Since fibres (carbon or glass) have low thermal expansion and high stiffness, they dominate, resulting in composites with very low thermal expansion in the longitudinal direction — a valuable property in dimensionally precise structures, such as satellites and optical instruments. Enter the volume fraction, the moduli and the expansion coefficients of the fibre and the matrix.
Critical Fibre Length
Computes the critical fibre length in a composite, l_c = σ_f·d/(2·τ_c), from the fibre strength σ_f (MPa), the fibre diameter d (mm) and the shear strength of the fibre-matrix interface τ_c (MPa); the result is in mm. The critical length is the smallest fibre length needed for the stress transferred by the interface (by shear) to reach the maximum fibre strength at its centre. Fibres shorter than l_c pull out of the matrix before breaking, not using their full strength; fibres longer than l_c (ideally l > 15·l_c) behave almost like continuous fibres and reinforce efficiently. The critical length governs the performance of discontinuous-fibre composites and the choice between short and long fibres. Enter the fibre strength, the diameter and the interface shear strength.
Diffusion Coefficient (Arrhenius)
Computes the solid-state diffusion coefficient by the Arrhenius equation, D = D₀·exp(−Q/(R·T)), from the pre-exponential factor D₀ (m²/s), the activation energy Q (J/mol), the gas constant R = 8.314 J/(mol·K) and the absolute temperature T (K); the result is converted to ×10⁻¹² m²/s. Atomic diffusion inside solids is strongly temperature-dependent: small temperature increases exponentially raise the atomic mobility. The diffusion coefficient D quantifies this mobility and is the central parameter of all diffusion-controlled processes — thermochemical treatments (carburizing, nitriding), homogenisation, sintering and precipitation. The activation energy Q represents the energy barrier for the atomic jump. This calculation provides D at the temperature of interest. Enter the pre-exponential factor, the activation energy and the temperature.
Carburizing Case Depth
Computes the carburized (or diffused) case depth by the rule of thumb, x = 2·√(D·t), from the diffusion coefficient D (×10⁻¹² m²/s, or µm²/s) and the treatment time t (s); the result is in µm. In thermochemical treatments such as carburizing, atoms (of carbon, for example) diffuse from the surface into the part, forming an enriched layer whose depth grows with the square root of time. The rule x = 2·√(D·t) estimates the effective layer depth from the diffusion coefficient at the process temperature and the duration. Since the depth depends on √t, doubling the layer requires quadrupling the time. It is an essential calculation in planning carburizing, nitriding and other diffusion surface hardening. Enter the diffusion coefficient and the time.
Carburizing Time
Computes the time needed to reach a carburized case depth, t = (x/2)²/D, from the desired depth x (µm) and the diffusion coefficient D (×10⁻¹² m²/s, or µm²/s); the result is in seconds. It is the inverse form of the case depth rule: with the layer depth to be obtained defined and the diffusion coefficient at the process temperature known, the required treatment time is calculated. Since the depth grows with the square root of time, the time grows with the square of the depth — deep layers require very long times, making it prohibitive to carburize very large depths. This calculation is fundamental for scheduling carburizing furnaces and estimating costs and productivity. Enter the desired depth and the diffusion coefficient.
Diffusion Activation Energy
Computes the diffusion activation energy from two coefficients measured at different temperatures, Q = R·ln(D₁/D₂)/(1/T₂ − 1/T₁), with the diffusion coefficients D₁ and D₂ (same unit) measured at the absolute temperatures T₁ and T₂ (K); the result is in J/mol (R = 8.314 J/(mol·K)). The activation energy Q is the energy barrier atoms must overcome to diffuse through the crystal lattice. By measuring the diffusion coefficient at two temperatures and applying the logarithmic form of the Arrhenius equation, Q is determined — the slope of the ln(D) versus 1/T line. The activation energy characterises the diffusion mechanism (vacancy, interstitial, grain boundary) and allows extrapolating the diffusion coefficient to any temperature. It is a fundamental parameter of solid-state process kinetics. Enter the two diffusion coefficients and the two temperatures.
Characteristic Diffusion Length
Computes the characteristic diffusion length, L = √(D·t), from the diffusion coefficient D (×10⁻¹² m²/s, or µm²/s) and the time t (s); the result is in µm. The diffusion length is the typical distance scale that atoms travel by diffusion in a given time and temperature. It is a fundamental measure that appears in all solutions of Fick's second law and governs the penetration depth of any diffusive process. Comparing the diffusion length with the characteristic dimensions of a problem (layer thickness, precipitate spacing, grain size) indicates whether diffusion has enough range to homogenise, dissolve or enrich a region in the available time. It is a key concept in materials science and physical metallurgy. Enter the diffusion coefficient and the time.
Error Function Argument (Diffusion)
Computes the dimensionless argument of the error function in the solutions of Fick's second law, z = x/(2·√(D·t)), from the depth x (µm), the diffusion coefficient D (×10⁻¹² m²/s, or µm²/s) and the time t (s); the result is dimensionless. The solution of Fick's second law for diffusion in a semi-infinite medium with constant surface concentration (as in carburizing) is expressed in terms of the error function of the argument z = x/(2√(Dt)). This argument normalises the depth by the diffusion length and is the variable looked up in error function tables to obtain the concentration profile C(x,t). Computing z is the essential intermediate step to determine the concentration at a given depth and time, or, inversely, the time needed to reach a target concentration at a certain depth. Enter the depth, the diffusion coefficient and the time.
Diffusion Ratio Between Temperatures
Computes the ratio between diffusion coefficients at two temperatures, D₂/D₁ = exp(−(Q/R)·(1/T₂ − 1/T₁)), from the activation energy Q (J/mol) and the absolute temperatures T₁ and T₂ (K); the result is dimensionless (R = 8.314 J/(mol·K)). This ratio shows how much faster (or slower) diffusion is at one temperature compared to another, without needing to know the pre-exponential factor. Because of the exponential dependence of the Arrhenius equation, relatively small temperature changes cause large variations in the diffusion coefficient — which is why thermochemical treatments are so sensitive to the furnace temperature. This calculation is useful for estimating how to adjust the treatment time when changing the temperature, keeping the same case depth. Enter the activation energy and the two temperatures.
Diffusion Coefficient from Depth
Computes the diffusion coefficient from a measured case depth, D = (x/2)²/t, from the layer depth x (µm) and the treatment time t (s); the result is in µm²/s (×10⁻¹² m²/s). It is the inverse form of the case depth rule: by measuring the effective depth of a carburized (or diffused) layer after a known treatment time, the actual diffusion coefficient at the temperature used is determined. This calculation is useful for calibrating processes from experimental results, verifying the effective diffusion coefficient of a specific equipment or condition, and adjusting models when tabulated values do not match practice. It is a practical way to obtain D directly from the shop floor. Enter the layer depth and the time.
Equivalent Carburizing Time
Computes the treatment time needed in a second condition to obtain the same case depth, t₂ = t₁·(D₁/D₂), from the original time t₁ (s) and the diffusion coefficients in the two conditions D₁ and D₂ (same unit); the result is in seconds. Since the case depth depends on the product D·t (via x = 2√(Dt)), to keep the same depth when changing the temperature (and therefore the diffusion coefficient), the time must be adjusted in inverse proportion to the coefficients. Reducing the temperature (lower D) requires increasing the time, and vice versa. This calculation is useful for rescheduling a thermochemical treatment at a different temperature — for example, to accommodate furnace limitations or reduce distortion — without changing the final case depth. Enter the original time and the diffusion coefficients of the two conditions.
Depth by Time Scaling
Computes the new case depth when changing the treatment time at the same temperature, x₂ = x₁·√(t₂/t₁), from the original depth x₁ (µm), the original time t₁ (s) and the new time t₂ (s); the result is in µm. At constant temperature (fixed diffusion coefficient), the case depth grows with the square root of time. Thus, knowing the depth obtained at a reference time, the depth at any other treatment time is directly calculated without needing the diffusion coefficient. This relation highlights the law of diminishing returns of diffusion: to double the layer depth, the time must be quadrupled. It is a practical tool for adjusting the carburizing or nitriding depth by varying only the process duration. Enter the original depth and time and the new time.
Critical Crack Size
Computes the critical crack size by linear elastic fracture mechanics, a_c = (1/π)·(K_IC/(Y·σ))², from the fracture toughness K_IC (MPa·√m), the geometric factor Y and the applied stress σ (MPa); the result is converted to mm. The critical crack size is the defect length from which brittle fracture occurs unstably, under a given stress. When a crack reaches this size, the stress intensity factor equals the material toughness and the propagation becomes catastrophic. It is a central calculation in structural integrity assessment and damage tolerance: it defines the largest admissible defect in service and guides the inspection intervals to detect cracks before they reach the critical value. Enter the fracture toughness, the geometric factor and the applied stress.
Fracture Stress (Crack)
Computes the fracture stress of a cracked component, σ_f = K_IC/(Y·√(π·a)), from the fracture toughness K_IC (MPa·√m), the geometric factor Y and the crack size a (mm); the result is in MPa. It is the inverse form of the critical crack size: knowing the material toughness and the size of an existing crack, the maximum stress the component withstands before unstable brittle fracture is calculated. This value is essential for structural integrity assessment — it allows verifying whether a defect detected in inspection is tolerable under service stresses or compromises safety. The larger the crack, the lower the fracture stress, highlighting the dangerous interaction between defects and loading. Enter the fracture toughness, the geometric factor and the crack size.
CTOD (Crack Tip Opening Displacement)
Computes the crack tip opening displacement (CTOD), δ = K²/(σ_ys·E), from the stress intensity factor K (MPa·√m), the yield stress σ_ys (MPa) and the modulus of elasticity E (GPa); the result is in mm. The CTOD (Crack Tip Opening Displacement) is an elastic-plastic fracture mechanics parameter used when the material exhibits significant plastic deformation at the crack tip — a case in which linear elastic fracture mechanics (K_IC) is no longer valid. It measures how much the crack faces open at its tip before propagation, being a direct measure of the toughness of ductile materials such as structural steels. It is widely used in welded joint qualification tests and in the integrity assessment of offshore structures and pipelines. Enter the stress intensity factor, the yield stress and the modulus of elasticity.
Energy Release Rate (G)
Computes the strain energy release rate, G = K²/E, from the stress intensity factor K (MPa·√m) and the modulus of elasticity E (GPa); the result is in kJ/m² (plane stress state). The energy release rate, a concept introduced by Griffith, is the energy available per unit area of crack advance. Fracture occurs when G reaches a critical value G_c, equal to the energy needed to create the new crack surfaces. It is the energy formulation of fracture mechanics, equivalent to the stress intensity factor (K) approach — the two relate by G = K²/E. It is used especially in the fracture analysis of composite materials, adhesives and in delamination, where the energy approach is more natural. Enter the stress intensity factor and the modulus of elasticity.
Toughness from Energy (K from G)
Computes the stress intensity factor from the energy release rate, K = √(G·E), from the energy release rate G (kJ/m²) and the modulus of elasticity E (GPa); the result is in MPa·√m. It is the inverse form of the relation between the two fracture mechanics approaches: knowing the critical fracture energy of a material (G_c, measured by energy tests, common in composites and adhesives), it is converted to the equivalent critical stress intensity factor (K_IC or toughness). This conversion allows comparing toughness values obtained by different methods and using databases that express toughness in either of the two forms. The energy (G) and stress intensity (K) approaches are fully equivalent in the linear elastic regime. Enter the energy release rate and the modulus of elasticity.
Paris Law (Crack Propagation)
Computes the fatigue crack propagation rate by Paris' law, da/dN = C·(ΔK)^m, from the material coefficient C, the stress intensity factor range ΔK (MPa·√m) and the Paris exponent m; the result is converted to µm/cycle. Paris' law describes the stable growth of a fatigue crack as a function of the stress intensity factor amplitude at each loading cycle. The exponent m (typically between 2 and 4 for metals) determines the sensitivity of the propagation rate to the stress variation. Integrating Paris' law between the initial and critical crack sizes estimates the fatigue life of a cracked component — a central calculation in the damage-tolerant design of aircraft, bridges and pressure vessels. Enter the coefficient C, the stress intensity factor range and the exponent m.
Stress Intensity Factor Range (ΔK)
Computes the stress intensity factor range in fatigue, ΔK = Y·Δσ·√(π·a), from the geometric factor Y, the stress range Δσ (MPa) and the crack size a (mm); the result is in MPa·√m. ΔK is the amplitude of the stress intensity factor during a fatigue cycle, calculated from the range of variation of the applied stress and the current crack size. It is the control variable for fatigue crack propagation: the growth rate (Paris' law) depends directly on ΔK. As the crack grows, ΔK increases, accelerating the propagation until it reaches the material toughness and causes fracture. Computing ΔK is the first step to predict the fatigue life of cracked components. Enter the geometric factor, the stress range and the crack size.
Plastic Zone Radius (Crack Tip)
Computes the plastic zone radius at the crack tip, r_p = (1/2π)·(K_IC/σ_ys)², from the fracture toughness K_IC (MPa·√m) and the yield stress σ_ys (MPa); the result is converted to mm (plane stress state). At the tip of a crack, the theoretical stress would be infinite according to elasticity, but the material yields plastically in a small region — the plastic zone. Its size depends on the ratio between the toughness and the yield stress. The validity of linear elastic fracture mechanics (K_IC) requires the plastic zone to be small relative to the component and crack dimensions; when it is large, elastic-plastic fracture mechanics (CTOD, J integral) must be used. Computing the plastic zone radius is essential to check the applicability of the K approach. Enter the fracture toughness and the yield stress.
Stress Ratio (Fatigue)
Computes the stress ratio of a cyclic fatigue loading, R = σ_min/σ_max, from the minimum stress σ_min and the maximum stress σ_max (same unit); the result is dimensionless. The stress ratio characterises the type of fatigue cycle a component is subjected to. R = −1 corresponds to a fully reversed loading (zero mean stress); R = 0 to a pulsating tension cycle (from zero to a maximum); and R close to 1 to small oscillations around a high stress. The stress ratio strongly influences fatigue life — for the same amplitude, higher R values (higher mean stress) reduce the life. It is an essential parameter in specifying fatigue tests and in correcting S-N curves for different loading conditions. Enter the minimum stress and the maximum stress.
Fatigue Life (Basquin Equation)
Computes the number of cycles to fatigue failure by the Basquin equation, N_f = 0.5·(σ_a/σ'_f)^(1/b), from the stress amplitude σ_a (MPa), the fatigue strength coefficient σ'_f (MPa) and the fatigue strength exponent b (negative, typically −0.05 to −0.12); the result is the number of cycles to failure. The Basquin equation describes the relation between the stress amplitude and the fatigue life in the high-cycle regime (high-cycle fatigue), corresponding to the linear part of the S-N curve on a log-log scale. The exponent b (Basquin exponent) is the slope of this line. Knowing the material's fatigue parameters, the life under a given stress amplitude is predicted — fundamental in the design of components subject to cyclic loading, such as shafts, springs and structures. Enter the stress amplitude, the coefficient and the fatigue strength exponent.
Lever Rule — Fraction of Phase α
Computes the fraction of phase α by the lever rule, f_α = (C_β − C₀)/(C_β − C_α)·100, from the alloy composition C₀, the composition of phase α (C_α) and the composition of phase β (C_β), all in the same unit (mass %); the result is in %. The lever rule allows determining the relative amounts of two phases in equilibrium in a two-phase region of a phase diagram. The fraction of a phase is proportional to the length of the opposite arm of the 'lever' drawn on the tie line, at the temperature of interest. This calculator provides the fraction of the lower-composition phase (α). It is a fundamental tool of physical metallurgy and materials science for predicting microstructures from phase diagrams. Enter the alloy composition and the compositions of the two phases.
Lever Rule — Fraction of Phase β
Computes the fraction of phase β by the lever rule, f_β = (C₀ − C_α)/(C_β − C_α)·100, from the alloy composition C₀, the composition of phase α (C_α) and the composition of phase β (C_β), all in the same unit (mass %); the result is in %. It is the counterpart of the phase α fraction: the fraction of phase β is proportional to the length of the lever arm on the phase α side of the tie line. The fractions of the two phases always add up to 100%, so knowing one determines the other. This calculator provides the fraction of the higher-composition phase (β). Together, the fractions of α and β completely describe the two-phase microstructure in equilibrium at the considered temperature. Enter the alloy composition and the compositions of the two phases.
Pearlite Fraction (Hypoeutectoid Steel)
Computes the pearlite fraction in a hypoeutectoid steel, %pearlite = (C₀ − 0.022)/(0.76 − 0.022)·100, from the steel carbon content C₀ (mass %, between 0.022 and 0.76); the result is in %. In a hypoeutectoid steel (less than 0.76% C) cooled slowly, the room-temperature microstructure consists of proeutectoid ferrite and pearlite. The pearlite fraction is obtained by applying the lever rule between the ferrite composition (0.022% C) and the eutectoid one (0.76% C). The higher the carbon content, the larger the pearlite fraction and, consequently, the higher the hardness and strength of the steel. This calculation is essential for predicting the microstructure and mechanical properties of carbon steels from their composition. Enter the steel carbon content.
Proeutectoid Ferrite Fraction
Computes the proeutectoid ferrite fraction in a hypoeutectoid steel, %ferrite = (0.76 − C₀)/(0.76 − 0.022)·100, from the steel carbon content C₀ (mass %, between 0.022 and 0.76); the result is in %. Proeutectoid ferrite is the ferrite that forms at the austenite grain boundaries before the eutectoid reaction, during the slow cooling of a steel with less than 0.76% C. Its fraction is the complement of the pearlite fraction (the two add up to 100%) and is calculated by the lever rule. The lower the carbon content, the larger the proeutectoid ferrite fraction, resulting in a more ductile and less strong steel. Together with the pearlite fraction, it completely defines the microstructure of a hypoeutectoid steel. Enter the steel carbon content.
Yield Stress (Hall-Petch)
Computes the yield stress of a polycrystalline metal by the Hall-Petch equation, σ_y = σ₀ + k·d^(−1/2), from the lattice friction stress σ₀ (MPa), the Hall-Petch coefficient k (MPa·mm^½) and the mean grain diameter d (mm); the result is in MPa. The Hall-Petch equation describes one of the most important strengthening mechanisms of metals: grain refinement. Grain boundaries act as barriers to dislocation movement, so smaller grains mean more boundaries and greater yield resistance. The yield stress increases inversely with the square root of the grain size. It is the only hardening mechanism that simultaneously increases strength and toughness, being central in the design of structural alloys. Enter the friction stress, the Hall-Petch coefficient and the grain size.
ASTM Grain Number (from Count)
Computes the ASTM grain size number, G = log₂(n) + 1, from the number of grains per square inch counted at 100× magnification (n); the result is the number G. It is the inverse form of the relation n = 2^(G−1): from the grain count in a micrograph magnified 100 times, the ASTM grain size number is determined, a standardised and dimensionless measure of the microstructure fineness. The higher the number G, the smaller and more numerous the grains. The ASTM grain number is widely used in material specifications and metallurgical quality control, as it correlates directly with properties such as strength (via Hall-Petch) and toughness. Enter the number of grains per square inch at 100×.
Total Cementite Fraction (Steel)
Computes the total cementite fraction in a carbon steel, %Fe₃C = (C₀ − 0.022)/(6.67 − 0.022)·100, from the steel carbon content C₀ (mass %); the result is in %. Cementite (iron carbide, Fe₃C) is the hard, brittle phase present in steels, with 6.67% carbon. The total cementite fraction at room temperature is calculated by the lever rule between the ferrite composition (0.022% C) and that of pure cementite (6.67% C). Since cementite is much harder than ferrite, its fraction directly governs the hardness and strength of the steel — the higher the carbon content, the larger the cementite fraction. This calculation provides the total amount of this phase, regardless of how it is distributed in the microstructure (in pearlite or as proeutectoid cementite). Enter the steel carbon content.
Proeutectoid Cementite Fraction
Computes the proeutectoid cementite fraction in a hypereutectoid steel, %Fe₃C = (C₀ − 0.76)/(6.67 − 0.76)·100, from the steel carbon content C₀ (mass %, between 0.76 and 2.11); the result is in %. In hypereutectoid steels (more than 0.76% C) cooled slowly, part of the cementite forms directly at the austenite grain boundaries before the eutectoid reaction — it is the proeutectoid cementite, which appears as a brittle network around the pearlite grains. Its fraction is calculated by the lever rule between the eutectoid composition (0.76% C) and that of cementite (6.67% C). This proeutectoid cementite network drastically reduces the steel's toughness, being a critical microstructural aspect in high-carbon steels. Enter the steel carbon content.
Larson-Miller Parameter (Creep)
Computes the Larson-Miller parameter, P = T·(C + log₁₀(t))/1000, from the absolute temperature T (K), the material constant C (typically 20) and the time to rupture t (hours); the result is the Larson-Miller parameter (in thousands). The Larson-Miller parameter combines temperature and time into a single quantity that characterises the creep behaviour of a material at high temperatures. It is based on the fact that high temperatures for a short time produce the same creep damage as lower temperatures for long times. Knowing the parameter for a given stress, the rupture life at any combination of temperature and time can be predicted. It is widely used in the design of turbine, boiler and reactor components operating at high temperature. Enter the temperature, the material constant and the time to rupture.
Creep Rupture Time (Larson-Miller)
Computes the creep rupture time from the Larson-Miller parameter, t = 10^(P·1000/T − C), from the Larson-Miller parameter P (in thousands), the absolute temperature T (K) and the material constant C (typically 20); the result is in hours. It is the inverse form of the Larson-Miller parameter: knowing the parameter value corresponding to a given stress (obtained from the material's master curves) and fixing the operating temperature, the estimated creep rupture life is calculated. This calculation is central in the design and residual life assessment of components operating under stress at high temperatures, such as turbine blades, boiler tubes and reactor vessels. It allows extrapolating short high-temperature test results to real service conditions. Enter the Larson-Miller parameter, the temperature and the material constant.
Linear Source Location (Acoustic Emission)
Computes the position of an acoustic emission source between two sensors, x = (D − v·Δt)/2, from the distance between the sensors D (mm), the wave velocity in the material v (mm/µs) and the difference in arrival time Δt (µs) between the two sensors; the result is in mm, measured from the first sensor. When a crack grows or a defect releases energy, it emits an elastic wave that reaches the sensors at different instants, depending on its position. By measuring the arrival time difference and knowing the wave velocity, the source is located along a line between two sensors. It is the fundamental principle of acoustic emission monitoring, used to locate active cracks in pressure vessels, pipes, bridges and tanks without interrupting operation. Enter the distance between sensors, the wave velocity and the arrival time difference.
Wave Velocity (Acoustic Emission)
Computes the elastic wave velocity in an acoustic emission location test, v = (D − 2·x)/Δt, from the distance between the sensors D (mm), the known source position x (mm) and the arrival time difference Δt (µs); the result is in mm/µs. It is the inverse form of linear location: using an artificial source at a known position (for example, breaking a pencil lead — the Hsu-Nielsen test), the arrival time difference is measured and the actual wave velocity in the material is calculated. This velocity calibration is essential before locating real sources, since the velocity depends on the material, the thickness and the wave mode. Without it, the calculated positions would be inaccurate. Enter the distance between sensors, the known source position and the arrival time difference.
Amplitude in dB_AE (Acoustic Emission)
Computes the amplitude of an acoustic emission signal in decibels, dB_AE = 20·log₁₀(V/V_ref), with V_ref = 1 µV, from the signal peak voltage V (µV); the result is in dB_AE. The amplitude is one of the most important features of an acoustic emission event, indicating the intensity of the detected wave. It is expressed in decibels relative to a standard reference voltage of 1 µV at the sensor input (before amplification): thus, 0 dB_AE corresponds to 1 µV, 60 dB_AE to 1 mV, and 100 dB_AE to 100 mV. The logarithmic scale spans the huge dynamic range of AE signals. The amplitude distribution of events helps distinguish damage mechanisms (microcracks, crack growth, friction) and set detection thresholds. Enter the signal peak voltage.
Voltage from dB_AE (Acoustic Emission)
Computes the peak voltage of an acoustic emission signal from its amplitude in decibels, V = V_ref·10^(dB_AE/20), with V_ref = 1 µV, from the amplitude in dB_AE; the result is in µV. It is the inverse form of the amplitude conversion: given the dB_AE value recorded by the equipment, the actual signal peak voltage at the sensor input (in microvolts) is recovered. This conversion is useful to relate the decibel values used in acoustic emission analysis with the physical signal voltages, compare detection thresholds and size the amplification chain. Since the scale is logarithmic, every 20 dB correspond to a factor of 10 in voltage. Enter the amplitude in dB_AE.
Count Rate (Acoustic Emission)
Computes the acoustic emission count rate, CR = N/t, from the number of counts (threshold crossings) N and the time interval t (s); the result is in counts per second. Acoustic emission counts are the number of times the signal exceeds a detection threshold, reflecting the material's acoustic activity. The count rate — counts per unit time — indicates the intensity of the emission activity at a given moment. A sudden increase in the count rate signals a significant event, such as rapid crack growth or the onset of a failure, being a key indicator in the continuous monitoring of structures and the early detection of damage. Enter the number of counts and the time interval.
Average Frequency (Acoustic Emission)
Computes the average frequency of an acoustic emission event, f_avg = N/duration, from the event count number N and the event duration (µs); the result is converted to kHz. The average frequency of an acoustic emission hit is the number of threshold crossings divided by the event duration — a simple estimate of the signal's dominant frequency without needing spectral analysis. It is one of the parameters used to classify damage mechanisms: higher-frequency signals tend to be associated with microcracks and matrix cracking, while lower frequencies relate to delamination, debonding and friction. Combined with the RA value, the average frequency is widely used in characterising damage in composites and concrete. Enter the count number and the event duration.
RA Value (Acoustic Emission)
Computes the RA value of an acoustic emission signal, RA = rise time/amplitude, from the signal rise time (µs) and the amplitude (dB_AE); the result is in µs/dB. The RA value (Rise time/Amplitude) is the signal rise time — the interval between the first threshold crossing and the peak — divided by the amplitude. It is a key parameter in characterising damage mechanisms, especially in concrete and composites: low RA values (fast, high-frequency signals) are associated with tensile cracks, while high RA values (slow signals) indicate shear cracks. Plotted against the average frequency, the RA value allows classifying the dominant crack type in an RA versus average frequency chart. Enter the signal rise time and the amplitude.
Wave Attenuation (Acoustic Emission)
Computes the acoustic emission wave attenuation, α = (dB₁ − dB₂)/d, from the amplitude at the near sensor dB₁ (dB_AE), the amplitude at the far sensor dB₂ (dB_AE) and the distance between them d (m); the result is in dB/m. As the acoustic emission wave propagates through the material, its amplitude decreases by geometric spreading, absorption and dispersion. The attenuation measures this loss per unit distance and is fundamental for monitoring planning: it determines the maximum sensor spacing that still ensures detection of sources at any point of the structure. Materials and geometries with high attenuation require closer sensors. Measuring the attenuation (usually with a Hsu-Nielsen source at increasing distances) is an essential step in configuring an AE system. Enter the amplitudes at the two sensors and the distance.
Felicity Ratio (Acoustic Emission)
Computes the Felicity ratio, FR = P_AE/P_max, from the load at which acoustic emission significantly reappears P_AE and the previously applied maximum load P_max (same unit); the result is dimensionless. The Felicity ratio quantifies the presence and severity of damage in a material through the Kaiser effect and its breakdown: ideally, a material does not emit acoustic emission until the load exceeds the maximum already experienced (Kaiser effect, FR ≥ 1). When there is significant damage, the emission reappears before reaching the previous maximum load (Felicity effect, FR < 1) — the lower the ratio, the more severe the damage. It is an acceptance criterion widely used in testing composite pressure vessels and tanks (ASME standard). Enter the emission restart load and the previous maximum load.
Distance by Time of Arrival (Acoustic Emission)
Computes the distance travelled by an acoustic emission wave, d = v·t, from the wave velocity in the material v (mm/µs) and the arrival time t (µs); the result is in mm. Knowing the wave velocity in the material and measuring the time it takes to reach a sensor after the event instant, the distance between the source and the sensor is calculated. This time-of-arrival calculation is the basis of acoustic emission source location and the definition of sensor coverage zones. In simple geometries, several of these distances from different sensors are combined to triangulate the exact position of a crack or leak. Enter the wave velocity and the arrival time.
Arithmetic Mean Roughness (Ra)
Computes the arithmetic mean roughness Ra = (Σ|yᵢ|)/n from five profile deviations relative to the mean line y₁…y₅ (µm); the result is in µm. Ra is the most widely used roughness parameter in industry: it represents the arithmetic mean of the absolute values of the roughness profile deviations from its mean line, over the evaluation length. It is robust and easy to measure, but it does not distinguish peaks from valleys nor the profile shape — very different surfaces can have the same Ra. Even so, it is the value specified on most technical drawings to indicate the required surface finish. This calculator uses five sample points to illustrate the calculation. Enter the five profile deviations.
Root Mean Square Roughness (Rq, RMS)
Computes the root mean square roughness Rq = √(Σyᵢ²/n) from five profile deviations relative to the mean line y₁…y₅ (µm); the result is in µm. Rq (also called RMS) is the square root of the mean of the squared profile deviations. By squaring the deviations, it gives more weight to pronounced peaks and valleys than Ra, being more sensitive to large variations and more used in optical and statistical applications. For a Gaussian-distributed profile, Rq is about 1.25 times Ra. It is the preferred parameter when the surface performance depends on the profile extremes, such as in sealing, reflection and contact. Enter the five profile deviations.
Roughness Rz (Peak-to-Valley)
Computes the roughness Rz = R_p + R_v from the maximum peak height R_p (µm) and the maximum valley depth R_v (µm) of the profile; the result is in µm. The Rz parameter measures the vertical distance between the highest peak and the deepest valley within the sampling length (in the maximum definition) — or the average of these distances over several lengths. Unlike Ra, which is an average and smooths the extremes, Rz captures the maximum amplitude of the irregularities, being important when isolated peaks or deep scratches affect performance — such as in sealing or sliding surfaces, or in parts subject to fatigue, where deep valleys concentrate stress. It is often specified together with Ra. Enter the maximum peak height and the maximum valley depth.
Rq/Ra Ratio (Profile Shape)
Computes the ratio between the root mean square and the arithmetic mean roughness, Rq/Ra, from Rq (µm) and Ra (µm); the result is dimensionless. The Rq/Ra ratio gives information about the shape and statistical distribution of the roughness profile. For a random profile with a Gaussian height distribution, this ratio is approximately 1.25; for a sinusoidal profile, about 1.11. Values much above 1.25 indicate the presence of pronounced, isolated peaks or valleys (non-Gaussian profile), while values close to the expected suggest a statistically regular surface. It is a simple way to characterise the type of finish and detect profile anomalies without analysing the whole curve. Enter the Rq and Ra values.
Rz/Ra Ratio
Computes the ratio between the Rz roughness and the Ra roughness, Rz/Ra, from Rz (µm) and Ra (µm); the result is dimensionless. The Rz/Ra ratio is a practical estimate used to approximately convert between the two most common roughness parameters, since many drawings specify one and the inspection measures another. For typical machined surfaces, this ratio is around 4 to 7, depending on the manufacturing process (turning, milling, grinding). Although there is no exact conversion — because Ra and Rz measure different aspects of the profile — the ratio provides a useful reference to check the consistency between specified and measured values. Enter the Rz and Ra values.
Roughness Evaluation Length
Computes the roughness evaluation length, ln = 5·le, from the sampling length (cut-off) le (mm); the result is in mm. In roughness measurement, the sampling length (le, or cut-off λc) is the stretch over which a portion of the profile is evaluated, chosen according to the expected roughness to separate the roughness from the waviness. The total evaluation length (ln) is, by standard, equal to five consecutive sampling lengths, over which the parameters are calculated and averaged, ensuring statistical representativeness. Choosing the correct cut-off and respecting the evaluation length is essential to obtain valid and comparable roughness measurements. Enter the sampling length (cut-off).
Measurement Capability (Cg)
Computes the measurement system capability index Cg = (0.2·T)/(6·s), from the characteristic tolerance T and the standard deviation of repeated measurements s (same unit); the result is dimensionless. The Cg index assesses whether a measurement system is able to measure with sufficiently small dispersion relative to the part tolerance. It compares a reference range (20% of the tolerance) with the dispersion of the measurement process (six standard deviations, ±3σ). A value of Cg ≥ 1.33 indicates the measurement system has adequate repeatability for the tolerance in question. It is the first stage of a measurement systems analysis study (MSA type 1), performed by repeatedly measuring a reference standard. Enter the tolerance and the standard deviation of the measurements.
Measurement Capability with Bias (Cgk)
Computes the bias-corrected measurement system capability index, Cgk = (0.1·T − |Bias|)/(3·s), from the tolerance T, the bias (difference between the measured mean and the reference value) and the standard deviation of the measurements s (same unit); the result is dimensionless. While Cg assesses only the dispersion (repeatability) of the measurement system, Cgk also includes the bias (systematic error): it penalises the index when the mean of the measurements moves away from the standard's true value. A system is only considered capable when both Cg and Cgk are ≥ 1.33, ensuring it measures with low dispersion and without significant bias. It is the complete metric of the type 1 capability study (MSA). Enter the tolerance, the bias and the standard deviation.
Percent RR (%GRR)
Computes the percentage repeatability and reproducibility of the measurement system relative to the tolerance, %GR&R = (GRR/T)·100, from the total R&R variation (GRR) and the tolerance T (same unit); the result is in %. The R&R study (Gage Repeatability & Reproducibility) quantifies how much of the observed variation in measurements comes from the measurement system itself — combining repeatability (same operator's variation) and reproducibility (variation between operators). Expressed as a percentage of the tolerance: below 10% the system is acceptable, between 10% and 30% it is marginal (acceptable depending on the application and cost) and above 30% it is unacceptable. It is the central metric of measurement systems analysis (MSA) for assessing an instrument's suitability for controlling a process. Enter the R&R variation and the tolerance.
Number of Distinct Categories (ndc)
Computes the number of distinct categories of a measurement system, ndc = 1.41·(PV/GRR), from the part variation PV (process variation due to the parts) and the measurement system R&R variation (GRR), in the same unit; the result is truncated to an integer in practice. The ndc indicates how many distinct groups or levels of values the measurement system can reliably distinguish within the process variation. It is like the 'effective resolution' of the system relative to the actual dispersion of the parts. The rule of thumb (AIAG) requires ndc ≥ 5 for the measurement system to be considered adequate for process control — with fewer categories, the instrument does not distinguish good from bad parts well. It is a complement to %GR&R in measurement systems analysis. Enter the part variation and the R&R variation.
Maximum Clearance of the Fit
Computes the maximum clearance of a clearance fit between hole and shaft, F_max = D_max − d_min, from the maximum hole diameter D_max (mm) and the minimum shaft diameter d_min (mm); the result is in mm. The maximum clearance occurs at the most unfavourable combination of dimensions within the tolerances: the largest possible hole with the smallest possible shaft. It is one of the fundamental quantities defining a clearance fit in the ISO system of tolerances and fits, determining the largest free space between the assembled parts. The maximum clearance limits aspects such as leakage, vibration and misalignment in bearings and sliding guides. Together with the minimum clearance, it completely characterises the possible clearance variation in a batch of assembled parts. Enter the maximum hole diameter and the minimum shaft diameter.
Minimum Clearance of the Fit
Computes the minimum clearance of a clearance fit between hole and shaft, F_min = D_min − d_max, from the minimum hole diameter D_min (mm) and the maximum shaft diameter d_max (mm); the result is in mm. The minimum clearance occurs at the tightest combination of dimensions within the tolerances: the smallest possible hole with the largest possible shaft. In a clearance fit, this value is positive and represents the smallest guaranteed free space between the parts. It is essential to ensure there is always enough clearance for assembly, for the formation of a lubricant film in bearings and to accommodate thermal expansion. If the minimum clearance were negative, the fit would no longer be a clearance fit and would have interference in some cases. Enter the minimum hole diameter and the maximum shaft diameter.
Mean Clearance of the Fit
Computes the mean clearance of a clearance fit, F_mean = ((D_max − d_min) + (D_min − d_max))/2, from the maximum and minimum diameters of the hole (D_max, D_min) and the shaft (d_max, d_min), all in mm; the result is in mm. The mean clearance is the average between the maximum and minimum clearance and represents the most likely clearance value in a random assembly of parts within the tolerances, assuming a symmetric distribution. It is useful for estimating the typical behaviour of the fit — for example, the average oil film thickness in a bearing or the nominal operating clearance. While the maximum and minimum clearances define the extremes, the mean clearance indicates the expected central operating point. Enter the maximum and minimum diameters of the hole and the shaft.
Hole Tolerance (IT)
Computes the tolerance interval of the hole, IT_hole = D_max − D_min, from the maximum diameter D_max (mm) and the minimum diameter D_min (mm) of the hole; the result is in mm. The hole tolerance is the difference between its maximum and minimum allowable dimensions — the width of the tolerance field within which the actual diameter must lie for the part to be accepted. In the ISO system, this width is defined by the tolerance grade (IT6, IT7, etc.): smaller grades mean tighter tolerances and higher manufacturing precision, but higher cost. The hole tolerance, together with the shaft tolerance, determines the possible variation of the fit. It is one of the basic quantities of dimensional control and fit design. Enter the maximum and minimum hole diameters.
Shaft Tolerance (IT)
Computes the tolerance interval of the shaft, IT_shaft = d_max − d_min, from the maximum diameter d_max (mm) and the minimum diameter d_min (mm) of the shaft; the result is in mm. The shaft tolerance is the difference between its maximum and minimum allowable dimensions — the width of the tolerance field within which the actual shaft diameter must lie. As with the hole, this width is defined by the ISO tolerance grade (IT). In a fit, the shaft usually receives a tolerance grade equal to or one number smaller than the hole's (shafts are easier to measure and grind precisely). The shaft tolerance combines with the hole's to define the total range of variation of the fit and the assembly quality. Enter the maximum and minimum shaft diameters.
Fit Tolerance
Computes the total tolerance of a fit, IT_fit = (D_max − D_min) + (d_max − d_min), from the maximum and minimum diameters of the hole (D_max, D_min) and the shaft (d_max, d_min), all in mm; the result is in mm. The fit tolerance is the sum of the hole and shaft tolerances and represents the total possible variation of the clearance (or interference) between the assembled parts. It also equals the difference between the maximum and minimum clearance of the fit. The larger this sum, the more variable the assembly behaviour from part to part; the smaller, the more uniform and predictable, but more expensive to manufacture. It is a key indicator of a fit's quality and guides the choice of the hole and shaft tolerance grades. Enter the maximum and minimum diameters of the hole and the shaft.
Upper Deviation of the Shaft
Computes the upper deviation of a shaft, es = d_max − d_nom, from the maximum shaft diameter d_max (mm) and the nominal diameter d_nom (mm); the result is in mm. The upper deviation is the difference between the maximum allowable dimension and the nominal reference dimension. In the ISO tolerance system, the deviations (upper and lower) define the position of the tolerance field relative to the zero line (the nominal diameter), identified by a letter (g, h, k, etc.). For shafts, the lowercase letter indicates this position: for example, 'h' shafts have zero upper deviation. The upper deviation, together with the lower one, completely locates the tolerance field and determines whether the resulting fit will have clearance, interference or be transitional. Enter the maximum diameter and the nominal diameter of the shaft.
Lower Deviation of the Shaft
Computes the lower deviation of a shaft, ei = d_min − d_nom, from the minimum shaft diameter d_min (mm) and the nominal diameter d_nom (mm); the result is in mm. The lower deviation is the difference between the minimum allowable dimension and the nominal reference dimension. Together with the upper deviation, it defines the limits of the shaft's tolerance field relative to the nominal diameter. The difference between the two deviations equals the shaft's tolerance (IT). Knowing the deviations is essential for interpreting the ISO fit notation (for example, Ø50 g6) and for calculating the actual limit dimensions from which clearances and interferences are obtained. Negative values indicate that the limit is below nominal, common in shafts for clearance fits. Enter the minimum diameter and the nominal diameter of the shaft.
ISO Tolerance Unit (i)
Computes the standard tolerance unit of the ISO system, i = 0.45·∛D + 0.001·D, from the diameter D (mm), taken as the geometric mean of the nominal size range; the result is in µm (micrometres). The tolerance unit is the basis of the ISO dimensional tolerance system: from it, each IT tolerance grade is defined as a fixed multiple (IT5 = 7i, IT6 = 10i, IT7 = 16i, and so on). The formula reflects the empirical fact that the difficulty of manufacturing precisely grows with the part size — hence the dependence on the cube root of the diameter plus a linear term. Computing i is the first step to obtain the tolerance values of any IT grade in a given size range. Enter the diameter (geometric mean of the nominal range).
Maximum Interference of the Fit
Computes the maximum interference of an interference (press) fit, I_max = d_max − D_min, from the maximum shaft diameter d_max (mm) and the minimum hole diameter D_min (mm); the result is in mm. The maximum interference occurs at the tightest combination within the tolerances: the largest possible shaft inside the smallest possible hole. In an interference (force or press) fit, the shaft is larger than the hole, and this material overlap generates contact pressure that holds the parts together by friction, without the need for fastening elements. The maximum interference determines the highest pressure and the highest stress generated in the assembly — it is the critical value for checking whether the material withstands the effort without yielding or cracking. Enter the maximum shaft diameter and the minimum hole diameter.
Type A Standard Uncertainty
Computes the type A standard uncertainty of a measurement, u_A = s/√n, from the sample standard deviation s and the number of measurements n; the result has the same unit as the measured quantity. Type A uncertainty is evaluated by statistical methods, from the dispersion of repeated measurements. Since the mean of n values is more reliable than a single measurement, its uncertainty is the standard deviation divided by the square root of the number of measurements — the more repetitions, the smaller the uncertainty of the mean. It is one of the two types of uncertainty defined by the GUM (Guide to the Expression of Uncertainty in Measurement) and the basic way to quantify the random component of a measurement. Increasing the number of measurements is the direct way to reduce it. Enter the standard deviation and the number of measurements.
Type B Uncertainty (Rectangular Distribution)
Computes the type B standard uncertainty for a rectangular (uniform) distribution, u_B = a/√3, from the half-width of the interval a (half the total range); the result has the same unit as the quantity. Type B uncertainty is evaluated by non-statistical means — from manufacturer specifications, calibration certificates, resolution or technical judgement. When it is known only that the value lies within an interval ±a, but all values in that interval are equally likely, a rectangular distribution is assumed, whose standard uncertainty is the half-width divided by √3. It is the most common case in metrology for tolerance limits, resolution and catalogue data without additional information about the distribution. Enter the half-width of the interval.
Type B Uncertainty (Triangular Distribution)
Computes the type B standard uncertainty for a triangular distribution, u_B = a/√6, from the half-width of the interval a (half the total range); the result has the same unit as the quantity. The triangular distribution is adopted when it is known that the value lies within an interval ±a and that values near the centre are more likely than those at the extremes — an intermediate situation between the rectangular distribution (all equally likely) and the normal. Its standard uncertainty is the half-width divided by √6, smaller than the rectangular one (√3) for the same range, reflecting the greater central concentration. It is used, for example, when two rectangular sources add up or when there is knowledge that central values are favoured. Enter the half-width of the interval.
Resolution Uncertainty (Digital Instrument)
Computes the standard uncertainty contribution due to the resolution of a digital instrument, u = (resolution/2)/√3, from the display resolution (smallest increment) r; the result has the same unit as the quantity. Every digital instrument rounds the reading to its last digit, so the true value may lie anywhere within half a resolution above or below. Since all these values are equally likely, the distribution is rectangular with half-width equal to half the resolution, and the standard uncertainty is that half-width divided by √3. This component is always present, even in perfectly stable measurements, and must be included in the uncertainty budget of any digital instrument. Enter the instrument resolution.
Combined Standard Uncertainty
Computes the combined standard uncertainty of two independent components, u_c = √(u₁² + u₂²), from the standard uncertainties u₁ and u₂ (same unit); the result has the same unit as the components. The combined uncertainty aggregates the various uncertainty sources of a measurement into a single value, by the square root of the sum of squares (quadrature sum), valid when the components are independent and contribute on the same scale. It is the application of the GUM uncertainty propagation law for uncorrelated quantities. This calculator combines two components — for example, the type A uncertainty (repeatability) with a type B one (resolution or calibration) — to obtain the combined standard uncertainty, which is then multiplied by a coverage factor to give the expanded uncertainty. Enter the two standard uncertainties.
Effective Degrees of Freedom (Welch-Satterthwaite)
Computes the effective degrees of freedom of a combined uncertainty by the Welch-Satterthwaite equation, ν_eff = u_c⁴/(u₁⁴/ν₁ + u₂⁴/ν₂), from the combined uncertainty u_c, the component uncertainties u₁ and u₂ and their degrees of freedom ν₁ and ν₂; the result is the effective number of degrees of freedom. When combining uncertainty components with different degrees of freedom (for example, a type A based on few measurements and a type B), the effective number of degrees of freedom of the combined uncertainty is given by the Welch-Satterthwaite equation. This value is used to choose the coverage factor k (from the Student's t distribution) when calculating the expanded uncertainty with a defined confidence level. It is an essential step of the GUM procedure. Enter the combined uncertainty, the two components and their degrees of freedom.
Normalized Error (Eₙ)
Computes the normalized error between two measurement results, Eₙ = (x₁ − x₂)/√(U₁² + U₂²), from the measured values x₁ and x₂ and their expanded uncertainties U₁ and U₂ (same unit); the result is dimensionless. The normalized error is the statistical criterion used in proficiency testing and interlaboratory comparisons to assess the compatibility between two results — for example, between a laboratory and a reference value. When |Eₙ| ≤ 1, the results are considered compatible (they agree within their uncertainties); when |Eₙ| > 1, there is a significant discrepancy requiring investigation. It is the standardized way to compare measurements taking their uncertainties into account, fundamental in metrological quality assurance. Enter the two measured values and their expanded uncertainties.
Test Uncertainty Ratio (TUR)
Computes the test uncertainty ratio, TUR = T/U, from the tolerance (specification half-range) T and the expanded measurement uncertainty U (same unit); the result is dimensionless. The Test Uncertainty Ratio compares the tolerance of the item being verified with the uncertainty of the measurement process used to verify it. A widely adopted rule of thumb in calibration and quality control requires TUR ≥ 4, that is, the tolerance must be at least four times larger than the expanded uncertainty, so that the measurement is good enough to decide conformity with confidence. Low TUR values indicate that the measurement uncertainty is too large relative to the tolerance, increasing the risk of wrong pass or reject decisions. Enter the tolerance and the expanded uncertainty.
Relative Uncertainty
Computes the relative uncertainty of a measurement, u_rel = (u/x)·100, from the standard uncertainty u and the measured value x (same unit); the result is in %. The relative uncertainty expresses the uncertainty as a fraction of the measured value itself, allowing the quality of measurements of different quantities and magnitudes to be compared. An absolute uncertainty of 0.1 mm is excellent for measuring 1 metre (0.01%), but terrible for measuring 1 millimetre (10%); the relative uncertainty makes this difference explicit. It is widely used to specify the accuracy of instruments and methods, express results in ppm or percentage and assess whether the uncertainty is acceptable for the application. It is the standard dimensionless way to communicate the quality of a measurement. Enter the standard uncertainty and the measured value.
Absolute Measurement Error
Computes the absolute measurement error, E = measured value − true value, from the measured value and the true (or reference) value, in the same unit; the result has the same unit as the quantities. The absolute error is the direct difference between a measurement result and the value taken as true (for example, that of a reference standard). Its sign indicates the bias: positive when the instrument reads high, negative when it reads low. It is the basis for accuracy assessment and instrument correction: knowing the systematic error, it can be corrected by subtracting it from the readings. Unlike the relative error (in percentage), the absolute error keeps the unit of the quantity and is used directly in adjustments and calibration charts. Enter the measured value and the true value.
Skin Depth (Eddy Current)
Computes the standard depth of penetration of eddy currents, δ = 1/√(π·f·μ₀·μ_r·σ), from the inspection frequency f (Hz), the relative permeability μ_r and the electrical conductivity σ (S/m); the result is converted to mm (μ₀ = vacuum permeability). In eddy current testing, the induced current concentrates at the material surface and decays exponentially with depth. The standard depth of penetration is the depth at which the current density drops to about 37% of the surface value, defining the useful inspection range. Higher frequencies, higher conductivity and higher permeability reduce the penetration, concentrating sensitivity at the surface; low frequencies penetrate more. Choosing the frequency is the main adjustment of the test to detect defects at a given depth. Enter the frequency, the relative permeability and the conductivity.
Frequency for Depth (Eddy Current)
Computes the inspection frequency needed to obtain a given depth of penetration, f = 1/(π·μ₀·μ_r·σ·δ²), from the desired depth of penetration δ (mm), the relative permeability μ_r and the electrical conductivity σ (S/m); the result is converted to kHz. It is the inverse form of the standard depth calculation: with the depth to be inspected defined (for example, the depth of a defect below the surface), the coil excitation frequency that places the standard depth at that value is calculated. This is the fundamental adjustment of eddy current testing — choosing the frequency appropriate to the target depth, balancing penetration and sensitivity. Lower frequencies are used for deep defects, higher ones for surface defects. Enter the desired depth, the relative permeability and the conductivity.
Fill Factor (Encircling Coil)
Computes the fill factor of an encircling coil in eddy current testing, η = (d/D)²·100, from the part diameter d (mm) and the coil inner diameter D (mm); the result is in %. The fill factor measures how well the part fills the interior of the inspection coil in tests of bars, tubes and wires. The closer to 100%, the better the electromagnetic coupling between the coil and the part and the higher the test sensitivity. A low fill factor (large gap) reduces sensitivity and increases the effect of positioning variations (lift-off). In practice, the highest possible fill factor compatible with the part passing through the coil is sought. It is a key parameter in the design and quality of encircling-coil eddy current testing. Enter the part diameter and the coil inner diameter.
Phase Lag with Depth (Eddy Current)
Computes the phase lag of eddy currents as a function of depth, β = (x/δ)·(180/π), from the depth x (mm) and the standard depth of penetration δ (mm); the result is in degrees. As they penetrate the material, eddy currents not only decrease in amplitude but also undergo a progressive phase delay: for each standard depth δ travelled, the phase lags exactly 1 radian (about 57.3°). This phase separation between the signals of surface and deep defects is what allows, in the impedance plane analysis, distinguishing the depth of a discontinuity and separating it from lift-off effects. Phase analysis is the basis of quantitative evaluation in eddy current testing. Enter the depth and the standard depth of penetration.
Amplitude Attenuation with Depth (Eddy Current)
Computes the relative amplitude of eddy currents at a given depth, A = e^(−x/δ)·100, from the depth x (mm) and the standard depth of penetration δ (mm); the result is in % of the surface amplitude. The eddy current density decays exponentially with depth: at one standard depth (x = δ), the amplitude drops to about 37%; at two standard depths, to 14%; at three, to only 5%. This decay limits the effective inspection depth — very deep defects produce signals too weak to be reliably detected. Knowing the relative amplitude at the defect depth allows assessing the detectability and adjusting the test frequency. It is the amplitude counterpart of the phase analysis. Enter the depth and the standard depth of penetration.
Effective Inspection Depth (Eddy Current)
Computes the effective inspection depth of eddy current testing, x_eff = 3·δ, from the standard depth of penetration δ (mm); the result is in mm. Although eddy currents theoretically reach any depth, their amplitude decays so rapidly that, at three standard depths of penetration, the current density has already dropped to about 5% of the surface value. By convention, this depth (3δ) is adopted as the practical inspection limit — beyond it, defect signals are too weak to be reliably detected. Knowing the effective depth helps decide whether a given frequency can reach a subsurface defect and plan multi-frequency inspections. It is an essential rule of thumb in eddy current testing. Enter the standard depth of penetration.
Electrical Conductivity (%IACS)
Computes the electrical conductivity of a metal as a percentage of the international annealed copper standard, %IACS = (1.7241/ρ)·100, from the electrical resistivity ρ (µΩ·cm); the result is in %IACS. The IACS (International Annealed Copper Standard) defines the conductivity of pure annealed copper as 100%; the conductivity of any other material is expressed as a percentage of that value (the standard's resistivity is 1.7241 µΩ·cm). Conductivity measurement by eddy currents is widely used in metal alloys to verify composition, heat treatment, ageing state and heat-damage detection — especially in aeronautical aluminium alloys, where the conductivity reveals the heat treatment. It is a classic non-destructive application of eddy currents. Enter the electrical resistivity.
Resistivity from %IACS
Computes the electrical resistivity of a metal from its conductivity in %IACS, ρ = 172.41/%IACS, from the conductivity as a percentage of the international annealed copper standard %IACS; the result is in µΩ·cm. It is the inverse form of the conductivity conversion: knowing a material's conductivity in %IACS (measured, for example, by an eddy current meter), the corresponding electrical resistivity is obtained. The resistivity is the fundamental physical quantity used in eddy current penetration depth calculations and in material characterisation. Converting between %IACS and resistivity allows relating the practical reading of the inspection equipment to the physical properties used in the test calculations. Enter the conductivity in %IACS.
Characteristic Frequency (Bar, Eddy Current)
Computes the characteristic (limit) frequency of a cylindrical bar in eddy current testing, f_g = 1/(2·π·μ₀·μ_r·σ·a²), from the bar radius a (mm), the relative permeability μ_r and the electrical conductivity σ (S/m); the result is in Hz (μ₀ = vacuum permeability). The characteristic frequency is a reference frequency specific to the part geometry, used in Förster's theory to normalise eddy current tests. By working with the ratio between the inspection frequency and the characteristic frequency (normalised frequency), the impedance diagrams become universal — independent of the material and part size — allowing inspections to be compared and standardised. It is a central concept in the quantitative analysis of bar and tube testing. Enter the bar radius, the relative permeability and the conductivity.
Normalised Frequency (f/f_g, Eddy Current)
Computes the normalised frequency of an eddy current test, f/f_g, from the inspection frequency f (Hz) and the part characteristic frequency f_g (Hz); the result is dimensionless. The normalised frequency is the ratio between the coil excitation frequency and the characteristic frequency of the inspected geometry. In Förster's theory, it is the universal variable that defines the position in the normalised impedance diagram: parts of different materials and dimensions, but with the same normalised frequency, exhibit the same electromagnetic behaviour. Working with this ratio (instead of the absolute frequency) allows transferring test parameters between parts, standardising techniques and interpreting signals independently of the material. Typical operating values are around a few tens to hundreds. Enter the inspection frequency and the characteristic frequency.
Power Law (Ostwald-de Waele)
Computes the shear stress of a non-Newtonian fluid by the power law, τ = K·γ̇ⁿ, from the consistency index K (Pa·sⁿ), the shear rate γ̇ (s⁻¹) and the flow behaviour index n; the result is in Pa. The Ostwald-de Waele model describes fluids whose viscosity varies with the shear rate. The index n characterises the behaviour: n = 1 corresponds to a Newtonian fluid, n < 1 to a pseudoplastic fluid (thins under shear, like paints and pulps), and n > 1 to a dilatant fluid (thickens under shear, like concentrated suspensions). The consistency index K reflects the fluid's overall viscosity. It is the most used engineering model for non-Newtonian fluids, applied in foods, polymers, cosmetics and drilling muds. Enter the consistency index, the shear rate and the behaviour index.
Apparent Viscosity (Power Law)
Computes the apparent viscosity of a non-Newtonian fluid by the power law, η_ap = K·γ̇ⁿ⁻¹, from the consistency index K (Pa·sⁿ), the shear rate γ̇ (s⁻¹) and the flow behaviour index n; the result is in Pa·s. Unlike a Newtonian fluid, whose viscosity is constant, a fluid following the power law has an apparent viscosity that depends on the shear rate. In pseudoplastic fluids (n < 1), the apparent viscosity drops when the shear increases — which is why paints spread easily under the brush but do not run when at rest. In dilatant ones (n > 1), it grows with the shear. Knowing the apparent viscosity at the shear rate of interest is essential for sizing pumps, pipes and mixing processes. Enter the consistency index, the shear rate and the behaviour index.
Bingham Model (Shear Stress)
Computes the shear stress of a Bingham plastic, τ = τ₀ + η_p·γ̇, from the yield stress τ₀ (Pa), the plastic viscosity η_p (Pa·s) and the shear rate γ̇ (s⁻¹); the result is in Pa. The Bingham model describes materials that behave like solids until reaching a minimum yield stress τ₀, above which they flow like a constant-viscosity liquid. Below τ₀ there is no flow; above it, the stress grows linearly with the shear rate. It is the classic model for pastes, drilling muds, toothpaste, chocolate, paints and cement fluids. The yield stress is what keeps toothpaste in place until it is squeezed. Enter the yield stress, the plastic viscosity and the shear rate.
Apparent Viscosity (τ/γ̇)
Computes the apparent viscosity of a fluid, η_ap = τ/γ̇, from the shear stress τ (Pa) and the shear rate γ̇ (s⁻¹); the result is in Pa·s. The apparent viscosity is the ratio between the shear stress and the shear rate at a given operating point — the viscosity the fluid appears to have under that condition. For a Newtonian fluid it is constant; for non-Newtonian fluids, it varies with the shear rate and only makes sense when associated with a specific condition. It is a general definition, independent of the rheological model, obtained directly from a stress and rate measurement in a rheometer or viscometer. It allows comparing fluids and characterising the flow behaviour without assuming a model. Enter the shear stress and the shear rate.
Herschel-Bulkley Model (Stress)
Computes the shear stress by the Herschel-Bulkley model, τ = τ₀ + K·γ̇ⁿ, from the yield stress τ₀ (Pa), the consistency index K (Pa·sⁿ), the shear rate γ̇ (s⁻¹) and the flow behaviour index n; the result is in Pa. The Herschel-Bulkley model is a generalisation that combines the yield stress of the Bingham plastic with the power-law behaviour: the material only flows above τ₀ and, once flowing, follows a non-linear relation between stress and shear rate. It is the most complete three-parameter model, able to describe most real non-Newtonian fluids — foods, gels, muds, pastes and suspensions — that simultaneously exhibit a yield stress and shear thinning (or thickening). Enter the yield stress, the consistency index, the shear rate and the behaviour index.
Casson Model (Shear Stress)
Computes the shear stress by the Casson model, τ = (√τ₀ + √(η_c·γ̇))², from the Casson yield stress τ₀ (Pa), the Casson viscosity η_c (Pa·s) and the shear rate γ̇ (s⁻¹); the result is in Pa. The Casson model describes fluids with a yield stress through a relation between the square roots of the stress and the shear rate, fitting well materials such as molten chocolate (it is the official model of the chocolate industry), printing inks, blood and some suspensions. Unlike Bingham (linear) and Herschel-Bulkley (power), the Casson model captures the smooth transition between solid and liquid behaviour. It is widely used in the rheological quality control of foods and biological fluids. Enter the yield stress, the Casson viscosity and the shear rate.
Deborah Number
Computes the Deborah number, De = λ/t_c, from the material's characteristic relaxation time λ (s) and the characteristic time of the process (or observation) t_c (s); the result is dimensionless. The Deborah number expresses the ratio between the time a material takes to relax stresses and the time of the process it undergoes. For De ≪ 1, the material has time to relax and behaves like a viscous liquid; for De ≫ 1, there is no time to relax and it responds like an elastic solid. The same material can appear fluid or solid depending on the time scale — the classic example is silly putty, which flows slowly but bounces if thrown. It is a central concept in the rheology of viscoelastic materials. Enter the relaxation time and the characteristic process time.
Loss Tangent (tan δ)
Computes the loss tangent of a viscoelastic material, tan δ = G''/G', from the loss modulus G'' (Pa) and the storage modulus G' (Pa), measured in oscillatory rheometry; the result is dimensionless. In an oscillatory test, the storage modulus G' measures the elastic energy stored (solid response) and the loss modulus G'' measures the energy dissipated as heat (viscous response). The loss tangent, the ratio between the two, quantifies the predominant character: tan δ < 1 indicates more elastic behaviour (solid, gel), tan δ > 1 indicates more viscous behaviour (liquid), and tan δ = 1 (G'' = G') marks the gel point. It is a central parameter in characterising polymers, gels, foods and viscoelastic materials, and in detecting transitions such as gelation and melting. Enter the loss modulus and the storage modulus.
Flow Behaviour Index (n)
Computes the flow behaviour index of a fluid by the power law from two measurements, n = ln(τ₂/τ₁)/ln(γ̇₂/γ̇₁), with the shear stresses τ₁ and τ₂ (Pa) measured at two shear rates γ̇₁ and γ̇₂ (s⁻¹); the result is dimensionless. The index n is the slope of the line in the log-log plot of stress versus shear rate and classifies the fluid: n = 1 Newtonian, n < 1 pseudoplastic (thinning), n > 1 dilatant (thickening). Determining it from two experimental points is the practical way to characterise the behaviour of a non-Newtonian fluid without fitting the whole curve. It is the first information obtained from rheological measurements and guides the model choice and process sizing. Enter the two stresses and the two shear rates.
Consistency Coefficient (Power Law)
Computes the consistency coefficient (index) of a fluid by the power law, K = τ/γ̇ⁿ, from the shear stress τ (Pa), the shear rate γ̇ (s⁻¹) and the flow behaviour index n; the result is in Pa·sⁿ. It is the inverse form of the power law: knowing the behaviour index n and one measured point of stress and shear rate, the consistency index K is obtained, the second parameter of the Ostwald-de Waele model. The consistency coefficient reflects the fluid's overall viscosity — the higher K, the more consistent (viscous) the material. Together, K and n completely describe a power-law fluid and allow predicting the stress at any shear rate. It is essential in rheological characterisation and process equipment design. Enter the shear stress, the shear rate and the behaviour index.
Exposure Time by Current (Radiography)
Computes the new radiographic exposure time when changing the tube current, t₂ = t₁·I₁/I₂, from the original time t₁ (min), the original current I₁ (mA) and the new current I₂ (mA); the result is in min. In industrial radiography, the film exposure depends on the product of current and time (the mA·min, or mAs, value). By the reciprocity law, to keep the same film density when changing the X-ray tube current, the time must be adjusted in inverse proportion: doubling the current allows halving the time. This calculation is essential for adapting the radiographic technique to different equipment or for reducing the exposure time without changing the image quality. Enter the original time and current and the new current.
Geometric Unsharpness (Radiography)
Computes the geometric unsharpness of a radiograph, U_g = F·b/a, from the focal spot size F (mm), the object-to-film distance b (mm) and the source-to-object distance a (mm); the result is in mm. The geometric unsharpness (or geometric blurring) is the blurring of the image edges caused by the finite size of the radiation source. The larger the focal spot and the farther the object is from the film, the greater the unsharpness and the worse the image definition. To reduce it, small focal-spot sources are used, the object is placed as close as possible to the film and the source-to-object distance is increased. The unsharpness is a key radiographic quality parameter, limited by standards. Enter the focal spot size and the object-film and source-object distances.
Magnification Factor (Radiography)
Computes the magnification factor of a radiograph, M = (a + b)/a, from the source-to-object distance a (mm) and the object-to-film distance b (mm); the result is dimensionless. Since X-rays diverge from the source, the projected image of an object on the film is always larger than the real object. The magnification factor relates the image size to the actual size and increases the farther the object is from the film. In conventional radiography, minimum magnification is sought (object next to the film) to preserve dimensional fidelity; intentional-magnification radiography, on the other hand, is used to examine small details. Knowing M allows converting measurements made on the image into real dimensions and assessing the distortion. Enter the source-object and object-film distances.
Radiographic Density (Optical Density)
Computes the optical density of a radiographic film, D = log₁₀(I₀/I), from the light intensity incident on the viewer I₀ and the light intensity transmitted through the film I (same unit); the result is dimensionless. The radiographic density measures the degree of film blackening: the more radiation reached a region, the darker it becomes and the higher its optical density. It is measured with a densitometer and expressed on a logarithmic scale — a density of 2.0 means the film transmits only 1% of the incident light. Industrial radiography standards require densities within a specific range (typically 2.0 to 4.0) to ensure adequate contrast and sensitivity in defect detection. Enter the incident and transmitted light intensities.
Minimum Source-Object Distance (Radiography)
Computes the minimum source-to-object distance to limit the geometric unsharpness, a = F·b/U_g, from the focal spot size F (mm), the object-film distance b (mm) and the maximum allowable geometric unsharpness U_g (mm); the result is in mm. It is the inverse form of the unsharpness calculation: industrial radiography standards set a maximum geometric unsharpness value as a function of the inspected thickness, and this calculation determines the minimum source-object distance needed not to exceed it. Increasing this distance reduces the unsharpness but requires a longer exposure time (by the inverse-square law). This trade-off between sharpness and time is central to planning the radiographic technique. Enter the focal spot size, the object-film distance and the maximum unsharpness.
Radiographic Sensitivity (IQI)
Computes the percentage radiographic sensitivity, S = (d/T)·100, from the diameter of the smallest visible wire (or hole) in the image quality indicator d (mm) and the thickness of the radiographed part T (mm); the result is in %. The radiographic sensitivity measures the technique's ability to reveal small thickness differences or defects, evaluated with an image quality indicator (IQI, or penetrameter) — a standard piece with wires or holes of known sizes placed over the object. The sensitivity is the size of the smallest visible detail expressed as a percentage of the thickness: the smaller the value, the better the technique. Typical values required by standards are around 1 to 2%. It is the main acceptance criterion for the quality of a radiograph. Enter the diameter of the smallest visible detail and the part thickness.
Exposure Time by Distance (Radiography)
Computes the new radiographic exposure time when changing the source-film distance, t₂ = t₁·(d₂/d₁)², from the original time t₁ (s), the original distance d₁ (mm) and the new distance d₂ (mm); the result is in s. By the inverse-square law, the radiation intensity reaching the film decreases with the square of the distance to the source. To keep the same film density when moving the source away, the exposure time must increase in proportion to the square of the distance ratio. This adjustment is needed, for example, when increasing the source-film distance to reduce geometric unsharpness and improve sharpness. The calculation allows correctly recomputing the exposure when changing the test geometry. Enter the original time and distance and the new distance.
Tenth Value Layer (TVL)
Computes the tenth value layer from the half value layer, TVL = HVL/log₁₀(2) = HVL·3.3219, from the half value layer HVL (mm); the result is in mm. The tenth value layer (TVL) is the thickness of material that reduces the radiation intensity to one tenth (10%) of the initial value, while the half value layer (HVL) reduces it to half. Since attenuation is exponential, the TVL is simply the HVL multiplied by log₁₀(2)⁻¹ ≈ 3.32. The TVL is widely used in radiation shielding calculations, as it makes it easy to estimate the thickness needed to reduce radiation by factors of 10 (one TVL reduces to 1/10, two to 1/100, and so on). It is a practical quantity in radiation protection and industrial radiography. Enter the half value layer.
Total Unsharpness (Radiography)
Computes the total unsharpness (total blurring) of a radiograph, U_t = √(U_g² + U_f²), from the geometric unsharpness U_g (mm) and the inherent film/screen unsharpness U_f (mm); the result is in mm. The total blurring of a radiographic image results from the combination of two independent sources: the geometric unsharpness, caused by the source size and geometry, and the inherent unsharpness (or film blurring), caused by electron scattering and the graininess of the film or intensifying screens. Since they are independent effects, they combine by the square root of the sum of squares. The total unsharpness determines the smallest resolvable discontinuity in the radiograph and is the parameter that summarises the image definition. Enter the geometric unsharpness and the inherent film unsharpness.
Exposure Factor (Radiography)
Computes the radiographic exposure factor, E = I·t, from the tube current I (mA) and the exposure time t (min); the result is in mA·min (mAs on a minute scale). The exposure factor is the product of current and time and represents the total amount of radiation to which the film is exposed, directly controlling its blackening (density). In industrial X-ray radiography, this value is adjusted — together with the voltage (kV), which controls the penetration — to obtain an image with the appropriate density. Exposure charts relate the exposure factor, the material thickness and the distance to standardise the technique. Keeping the mAs constant ensures reproducible density when trading current for time. Enter the tube current and the exposure time.
Acoustic Impedance
Computes the acoustic impedance of a material, Z = ρ·c, from the density ρ (kg/m³) and the speed of sound in the material c (m/s); the result is divided by 10⁶ and is in MRayl (megarayl). The acoustic impedance is the resistance a medium offers to the propagation of a sound wave, being the product of the density and the speed of sound. It is the fundamental quantity in non-destructive ultrasonic testing: the impedance difference between two materials determines how much of the wave is reflected at the interface between them. Therefore internal defects (cracks, voids, inclusions), which have an impedance very different from the metal, strongly reflect ultrasound and can be detected. The acoustic impedance also governs the coupling between the transducer and the inspected part. Enter the density and the speed of sound in the material.
Acoustic Reflection Coefficient
Computes the fraction of ultrasonic energy reflected at an interface, R = ((Z₂ − Z₁)/(Z₂ + Z₁))²·100, from the acoustic impedances of the two media Z₁ and Z₂ (MRayl); the result is in % (percentage of reflected energy). When an ultrasonic wave reaches the boundary between two materials, part of the energy is reflected and part is transmitted, in the proportion determined by the difference in acoustic impedances. The greater the impedance contrast, the greater the reflection: at a steel/air interface almost all the energy is reflected, making voids and cracks excellent reflectors and the basis of defect detection. Interfaces of close impedances, on the other hand, transmit sound well. This calculation is essential for predicting the detectability of discontinuities and the coupling efficiency. Enter the acoustic impedances of the two media.
Defect Depth (Pulse-Echo)
Computes the depth of a defect or the thickness of a part by pulse-echo ultrasound, d = c·t/2, from the speed of sound in the material c (m/s) and the round-trip travel time of the echo t (µs); the result is in mm. In the pulse-echo method, the transducer emits an ultrasonic pulse that travels through the part, reflects off a defect or the opposite wall and returns. By measuring the time between emission and reception of the echo, and knowing the speed of sound in the material, the distance travelled is calculated — divided by two, because the sound goes and returns. It is the fundamental principle of ultrasonic thickness measurement and discontinuity location in non-destructive testing, used to inspect welds, detect internal corrosion and measure thicknesses without access to the opposite side. Enter the speed of sound and the echo travel time.
Ultrasonic Wavelength
Computes the wavelength of an ultrasonic wave in a material, λ = c/f, from the speed of sound in the material c (m/s) and the transducer frequency f (MHz); the result is in mm. The ultrasonic wavelength determines the resolution and sensitivity of the inspection: defects are only reliably detected when their size is comparable to or larger than half the wavelength. Higher frequencies produce shorter wavelengths, improving the resolution and the ability to detect small defects, but reduce penetration and increase attenuation. Choosing the transducer frequency is therefore a trade-off between resolution and inspection depth, and the wavelength is the quantity guiding this decision. Enter the speed of sound and the transducer frequency.
Near Field Length (Transducer)
Computes the near field length of an ultrasonic transducer, N = D²/(4·λ), from the diameter of the active element D (mm) and the wavelength λ (mm) in the material; the result is in mm. The near field (Fresnel zone) is the region just in front of the transducer where the ultrasonic beam undergoes interference and the intensity varies in a complex way, hindering accurate defect evaluation. At the end of the near field, the intensity reaches its maximum and the beam begins to diverge (far field). Defect detection and sizing are more reliable beyond the near field, so knowing its length is essential for correctly positioning the inspection and choosing the appropriate transducer. Enter the element diameter and the wavelength.
Ultrasonic Attenuation Coefficient
Computes the ultrasonic attenuation coefficient of a material, α = 20·log₁₀(A₀/A)/x, from the initial amplitude A₀, the amplitude after travelling through the material A and the distance travelled x (mm); the result is in dB/mm. As the ultrasonic wave passes through a material, its amplitude decreases by scattering (at grains, pores and inclusions) and absorption (conversion to heat). The attenuation coefficient measures this loss per unit distance, in decibels. Coarse-grained materials (such as cast iron or austenitic stainless steel) have high attenuation, hindering inspection; homogeneous, fine-grained materials attenuate little. Knowing the attenuation is essential for adjusting the equipment gain, choosing the frequency and assessing the inspectability of a material. Enter the initial and final amplitudes and the distance.
Attenuated Ultrasonic Amplitude
Computes the amplitude of an ultrasonic wave after passing through an attenuating material, A = A₀·10^(−α·x/20), from the initial amplitude A₀, the attenuation coefficient α (dB/mm) and the distance travelled x (mm); the result is dimensionless (same unit as A₀). It is the inverse form of the attenuation calculation: knowing the material's attenuation coefficient and the distance to travel, it predicts how much of the signal amplitude will remain on reaching a defect or the opposite wall. This calculation is used to estimate the signal loss in deep inspections, size the gain needed in the equipment and assess whether a defect at a certain depth will still produce a detectable echo. It is fundamental in planning ultrasonic tests of thick parts or attenuating materials. Enter the initial amplitude, the attenuation coefficient and the distance.
Thickness Resonance Frequency
Computes the fundamental thickness resonance frequency of a plate, f = c/(2·d), from the speed of sound in the material c (m/s) and the plate thickness d (mm); the result is in MHz. When an ultrasonic wave is confined between the two faces of a plate, resonance occurs at the frequencies where the thickness corresponds to an integer number of half wavelengths — the fundamental occurs when the thickness equals half a wavelength. The resonance method exploits this phenomenon to measure thicknesses precisely and detect variations: by finding the resonance frequency and knowing the speed of sound, the thickness is determined. It is the basis of resonance thickness gauges and inspection techniques for laminates and coatings. Enter the speed of sound and the thickness.
Axial Resolution (Ultrasound)
Computes the axial resolution of an ultrasonic system, R_axial = n·λ/2, from the number of pulse cycles n and the wavelength λ (mm); the result is in mm. The axial resolution is the smallest distance, in the beam propagation direction, between two reflectors that can still be distinguished as separate echoes. It equals half the spatial pulse length, which in turn is the product of the number of cycles and the wavelength. Short pulses (few cycles) and high frequencies (small wavelength) improve the axial resolution, allowing close defects to be separated and small thicknesses to be measured. It is a key performance parameter in ultrasonic inspection and imaging. Enter the number of pulse cycles and the wavelength.
Acoustic Refraction Angle (Snell's Law)
Computes the refraction angle of an ultrasonic wave crossing the interface between two materials, θ₂ = arcsin(sin θ₁·c₂/c₁), from the incidence angle θ₁ (degrees) and the speeds of sound in medium 1 c₁ and medium 2 c₂ (m/s); the result is in degrees. The acoustic Snell's law governs the change in direction of the ultrasonic beam when passing from one material to another with a different speed of sound, exactly as in optics. It is the basis of angle beam transducers, where sound is introduced through an acrylic wedge at a chosen angle to inspect welds and detect inclined cracks. Computing the refracted angle is essential for positioning the beam correctly, locating defects and interpreting the echoes in angle beam ultrasonic inspections. Enter the incidence angle and the speeds of sound in the two media.
Chemical Shift (NMR)
Computes the chemical shift in nuclear magnetic resonance, δ = Δν/ν₀, from the frequency difference relative to the reference Δν (Hz) and the spectrometer frequency ν₀ (MHz); the result is in ppm (parts per million). The chemical shift is the position of a signal in the NMR spectrum, measured relative to a standard (usually TMS, defined as 0 ppm). Since the absolute resonance frequency depends on the instrument's magnetic field, the frequency difference is divided by the spectrometer frequency to obtain a field-independent value, expressed in ppm. The chemical shift reflects the electronic environment of each nucleus, being the central information for identifying functional groups and elucidating molecular structures by NMR. Enter the frequency difference and the spectrometer frequency.
Frequency from Chemical Shift (NMR)
Computes the frequency difference of an NMR signal relative to the reference, Δν = δ·ν₀, from the chemical shift δ (ppm) and the spectrometer frequency ν₀ (MHz); the result is in Hz. It is the inverse form of the chemical shift: knowing a signal's ppm value and the instrument frequency, the separation in hertz relative to the reference standard is obtained. Since the ppm shift is field-independent, but the hertz separation increases with the spectrometer frequency, this calculation shows why higher-field instruments separate signals better (greater dispersion in Hz), making it easier to resolve close peaks and measure coupling constants. Enter the chemical shift and the spectrometer frequency.
Signal-to-Noise by Accumulation (NMR)
Computes the signal-to-noise ratio resulting from accumulating scans in NMR, SNR = SNR₀·√n, from the single-scan signal-to-noise ratio SNR₀ and the number of accumulated scans n; the result is dimensionless. In NMR, sensitivity is often low, and the signal is improved by summing many scans of the same spectrum. Since the coherent signal grows proportionally to the number of scans, while the random noise grows only with the square root, the signal-to-noise ratio increases with √n. This explains spectroscopy's law of diminishing returns: quadrupling the number of scans only doubles the signal-to-noise ratio. It is a central calculation in planning NMR experiments on dilute samples. Enter the single-scan signal-to-noise ratio and the number of scans.
Scans Required (NMR)
Computes the number of scans needed to reach a target signal-to-noise ratio in NMR, n = (SNR_target/SNR₀)², from the desired signal-to-noise ratio SNR_target and the single-scan signal-to-noise ratio SNR₀; the result is the number of scans. It is the inverse form of signal accumulation: since the signal-to-noise ratio grows with the square root of the number of scans, achieving an improvement factor of k requires k² scans. This calculation highlights the time cost of sensitive NMR experiments: doubling the signal-to-noise ratio quadruples the acquisition time. It is essential for estimating an experiment's duration and deciding whether a given sensitivity is feasible in reasonable time, especially in ¹³C NMR and dilute samples. Enter the target signal-to-noise ratio and the single-scan one.
Linewidth from T₂ (NMR)
Computes the full width at half maximum of an NMR signal, Δν½ = 1/(π·T₂), from the transverse relaxation time T₂ (s); the result is in Hz. The width of peaks in an NMR spectrum is directly linked to the transverse (spin-spin) relaxation time T₂: the faster the relaxation (smaller T₂), the broader the peak. For a Lorentzian line, the full width at half maximum is the inverse of π·T₂. Broad peaks indicate fast relaxation, common in large molecules, solids or viscous media; narrow peaks indicate long T₂, typical of small molecules in solution. The linewidth affects spectral resolution and provides information about molecular dynamics and field homogeneity. Enter the transverse relaxation time T₂.
Relative Viscosity (Viscometry)
Computes the relative viscosity of a polymer solution, η_rel = t/t₀, from the solution flow time t (s) and the pure solvent flow time t₀ (s) in a capillary viscometer; the result is dimensionless. The relative viscosity is the ratio between the solution's viscosity and the solvent's, measured simply by the ratio of flow times through a capillary (since, in the same geometry, the time is proportional to the viscosity). It is the first step in the viscometric characterisation of polymers: from it, the specific, reduced and, by extrapolation, intrinsic viscosity are calculated, the latter relating to the molar mass. It is a classic, cheap and precise method of analysing polymers in solution. Enter the flow times of the solution and the solvent.
Specific Viscosity (Viscometry)
Computes the specific viscosity of a polymer solution, η_sp = (t − t₀)/t₀, from the solution flow time t (s) and the pure solvent flow time t₀ (s); the result is dimensionless. The specific viscosity is the fractional increase in viscosity caused by the presence of the polymer, that is, the relative viscosity minus one (η_sp = η_rel − 1). It isolates the solute's contribution to the flow, being proportional to the concentration in dilute solutions. It is an intermediate step in determining the intrinsic viscosity: dividing the specific viscosity by the concentration gives the reduced viscosity, whose extrapolation to zero concentration yields the intrinsic one, used to estimate the molar mass by the Mark-Houwink equation. Enter the flow times of the solution and the solvent.
Reduced Viscosity (Viscometry)
Computes the reduced viscosity of a polymer solution, η_red = η_sp/c, from the specific viscosity η_sp (dimensionless) and the polymer concentration c (g/dL); the result is in dL/g. The reduced viscosity normalises the specific viscosity by the concentration, isolating the effect of each polymer unit on the solution's viscosity. By measuring the reduced viscosity at several concentrations and extrapolating to zero concentration (Huggins plot), the intrinsic viscosity [η] is obtained, which is concentration-independent and relates directly to the polymer's molar mass through the Mark-Houwink equation. The reduced viscosity is therefore the key intermediate quantity of polymer viscometry. Enter the specific viscosity and the concentration.
Molar Refraction (Lorentz-Lorenz)
Computes the molar refraction of a substance by the Lorentz-Lorenz equation, R = ((n² − 1)/(n² + 2))·(M/ρ), from the refractive index n, the molar mass M (g/mol) and the density ρ (g/cm³); the result is in cm³/mol. The molar refraction is an additive and constitutive property related to the volume and polarisability of molecules: each atom and bond type contributes an approximately fixed value, so the measured molar refraction can be compared with the one calculated from the structure to confirm a molecular formula. It links a macroscopic optical property (the refractive index) to the microscopic polarisability, being used in characterising liquids, analysing purity and studying molecular structures. Enter the refractive index, the molar mass and the density.
Abbe Number (Optical Dispersion)
Computes the Abbe number of an optical material, V_d = (n_d − 1)/(n_F − n_C), from the refractive indices measured at the spectral lines d (yellow, 587.6 nm) n_d, F (blue, 486.1 nm) n_F and C (red, 656.3 nm) n_C; the result is dimensionless. The Abbe number quantifies the dispersion of an optical material — how much the refractive index varies with wavelength. High values (above 50) indicate low dispersion (crown glass), and low values indicate high dispersion (flint glass). It is a fundamental parameter in lens design, since dispersion causes chromatic aberration (separation of colours); combining glasses of different Abbe numbers allows correcting this defect in achromatic lenses. It is a standard specification of glasses and optical materials. Enter the refractive indices at the d, F and C lines.
Stern-Volmer Constant
Computes the Stern-Volmer constant of fluorescence quenching, K_SV = (I₀/I − 1)/[Q], from the fluorescence intensity without quencher I₀, the intensity in the presence of the quencher I and the quencher concentration [Q] (mol/L); the result is in L/mol (M⁻¹). The Stern-Volmer equation describes how a molecule's fluorescence intensity decreases as a quenching agent is added: I₀/I = 1 + K_SV·[Q]. The constant K_SV measures the quenching efficiency — the higher it is, the more the quencher reduces fluorescence per unit concentration. It is widely used in studying molecular interactions, protein binding, fluorophore accessibility and optical sensors. Enter the intensities with and without quencher and the quencher concentration.
Bimolecular Quenching Constant
Computes the bimolecular quenching constant of fluorescence, k_q = K_SV/τ₀, from the Stern-Volmer constant K_SV (M⁻¹) and the fluorescence lifetime without quencher τ₀ (s); the result is divided by 10⁹ and is in ×10⁹ M⁻¹s⁻¹. The bimolecular constant k_q measures the actual rate of the collisional quenching process, separating the concentration effect from the excited-state lifetime effect. It is the diagnostic quantity distinguishing dynamic (collisional) from static quenching: k_q values near or above the diffusion limit (~10¹⁰ M⁻¹s⁻¹) indicate a static mechanism or specific interaction, while smaller values are typical of collisional quenching. It is essential in the mechanistic interpretation of fluorescence experiments. Enter the Stern-Volmer constant and the lifetime.
Stokes Shift
Computes the Stokes shift in wavenumber, Δν̃ = 10⁷·(1/λ_ex − 1/λ_em), from the excitation (absorption) wavelength λ_ex (nm) and the emission wavelength λ_em (nm); the result is in cm⁻¹. The Stokes shift is the energy difference between the absorption and emission maxima of a fluorophore — emission always occurs at a longer wavelength (lower energy) than absorption, due to energy loss by vibrational relaxation in the excited state. Expressed in wavenumber, it is proportional to the energy lost. A large Stokes shift is desirable in fluorescent probes and labels, as it cleanly separates the excitation light from the emission, reducing interference. It is a key parameter in characterising fluorophores. Enter the excitation and emission wavelengths.
Fluorescence Quantum Yield (Relative)
Computes the relative fluorescence quantum yield, Φ = Φ_ref·(F/F_ref)·(A_ref/A), from the reference standard's quantum yield Φ_ref, the integrated emission areas of the sample F and the reference F_ref and the absorbances of the sample A and the reference A_ref (measured in the same solvent); the result is dimensionless (a fraction between 0 and 1). The quantum yield is the fraction of absorbed photons re-emitted as fluorescence — the fundamental measure of a fluorophore's efficiency. The relative method compares the sample with a standard of known yield, correcting for the absorbances and emission intensities. It is the classic laboratory procedure for determining quantum yield, used to characterise dyes, probes and luminescent materials. Enter the reference yield, the emission areas and the absorbances.
Water Content (Karl Fischer)
Computes the water content of a sample by Karl Fischer titration, %water = (V·T)/(m·10), from the volume of titrant used V (mL), the reagent titer T (mg of water per mL) and the sample mass m (g); the result is in % (mass/mass). Karl Fischer titration is the reference method for determining water in solids, liquids and gases, based on the specific reaction of water with iodine and sulfur dioxide in the presence of a base. The water mass is the product of the titrant volume and its titer; divided by the sample mass, it gives the percentage content. It is widely used in the quality control of pharmaceuticals, foods, solvents and chemicals, where water content affects stability and performance. Enter the titrant volume, the reagent titer and the sample mass.
Karl Fischer Reagent Titer
Computes the titer (factor) of the Karl Fischer reagent, T = m_water/V, from the water mass of the standard m_water (mg) and the volume of titrant used in the standardisation V (mL); the result is in mg of water per mL. Before titrating samples, the Karl Fischer reagent must be standardised against a known amount of water — for example, a hydrated standard such as sodium tartrate dihydrate or a measured mass of pure water. The titer indicates how many milligrams of water each millilitre of reagent consumes, and it is used in all subsequent titrations to convert the volume used into water mass. Frequent standardisation is essential because the reagent loses strength over time. Enter the standard's water mass and the volume used.
Diffusion Coefficient (Stokes-Einstein)
Computes the diffusion coefficient of a particle by the Stokes-Einstein equation, D = k_B·T/(6·π·η·r), from the temperature T (K), the medium viscosity η (Pa·s) and the hydrodynamic radius of the particle r (nm); the result is converted to µm²/s (k_B = Boltzmann constant). The Stokes-Einstein equation relates the diffusive mobility of a spherical particle in a liquid to its size, the temperature and the viscosity: smaller particles, higher temperatures and less viscous media diffuse faster. It is the foundation of dynamic light scattering (DLS), which measures the diffusion coefficient of suspended particles to determine their size. It is widely used in characterising nanoparticles, colloids, proteins and polymers. Enter the temperature, the viscosity and the hydrodynamic radius.
Hydrodynamic Radius (DLS, Stokes-Einstein)
Computes the hydrodynamic radius of a particle by the Stokes-Einstein equation, r = k_B·T/(6·π·η·D), from the temperature T (K), the medium viscosity η (Pa·s) and the diffusion coefficient D (µm²/s) measured by dynamic light scattering; the result is in nm (k_B = Boltzmann constant). It is the inverse form of the Stokes-Einstein equation and the central calculation of the DLS technique: the instrument measures the diffusion coefficient of the particles from the intensity fluctuations of the scattered light and converts that value into the hydrodynamic radius — the radius of a sphere that would diffuse at the same speed. This radius includes the solvation layer and any associated molecules, being the standard size measure of nanoparticles, proteins and colloids in suspension. Enter the temperature, the viscosity and the diffusion coefficient.
Mass Loss (Thermogravimetry, TGA)
Computes the percentage mass loss in a thermogravimetric analysis, loss% = (m₀ − m_f)/m₀·100, from the initial sample mass m₀ (mg) and the final mass after heating m_f (mg); the result is in %. Thermogravimetry (TGA) measures the mass change of a sample as a function of temperature or time, under a controlled atmosphere. Each mass-loss step corresponds to an event — moisture evaporation, decomposition, oxidation or release of volatiles — and its percentage magnitude identifies and quantifies the lost component. Computing the percentage loss between two points of the curve is the basic operation in interpreting a thermogram, used in characterising polymers, pharmaceuticals, minerals and composite materials. Enter the initial mass and the final mass.
Residual Mass (Thermogravimetry, TGA)
Computes the percentage residual mass in a thermogravimetric analysis, residue% = m_f/m₀·100, from the initial sample mass m₀ (mg) and the final mass after heating m_f (mg); the result is in %. The residual mass is the fraction of the sample remaining at the end of the TGA heating program — typically ash, inorganic filler, fixed carbon or non-volatile products. It is the complement of the total mass loss and an important characterisation parameter: in polymers, it indicates the filler or carbonaceous residue content; in materials, it quantifies heat-stable inorganic components. Compared with expected values, the residual mass helps verify composition, purity and thermal stability. Enter the initial mass and the final mass.
Bragg's Law (Interplanar Spacing)
Computes the interplanar spacing of a crystal by Bragg's law, d = n·λ/(2·sin θ), from the diffraction order n, the radiation wavelength λ (Å) and the Bragg angle θ (degrees); the result is in Å. Bragg's law is the fundamental equation of X-ray diffraction: when an X-ray beam strikes a crystal, constructive interference (a diffraction peak) occurs only at angles satisfying n·λ = 2·d·sin θ. From the angle measured in a diffractogram and the known wavelength of the source (for example Cu Kα = 1.5406 Å), the distance between atomic planes is determined. It is the basis of all X-ray crystallography and phase identification. Enter the order, the wavelength and the Bragg angle.
Bragg Angle
Computes the Bragg angle θ = arcsin(n·λ/(2·d)) at which a diffraction peak occurs, from the diffraction order n, the radiation wavelength λ (Å) and the interplanar spacing d (Å); the result is in degrees. It is the inverse form of Bragg's law: knowing the source wavelength and the distance between the atomic planes of a phase, the angle at which the diffraction peak will appear in the diffractogram is predicted. This allows indexing the observed peaks, assigning them to specific crystal planes and simulating the expected diffraction pattern of a known material. Twice this value (2θ) is the typical horizontal axis of an X-ray diffractogram. Enter the order, the wavelength and the interplanar spacing.
Interplanar Spacing (Cubic System)
Computes the interplanar spacing of a cubic crystal, d = a/√(h² + k² + l²), from the lattice parameter a (Å) and the Miller indices h, k, l of the plane; the result is in Å. In a cubic system, the distance between parallel planes of a (hkl) family depends only on the lattice parameter and the Miller indices. This geometric relation connects the unit cell structure to the spacings appearing in X-ray diffraction: combined with Bragg's law, it allows predicting the peak positions of each crystal plane. It is essential for indexing diffractograms of cubic materials (many metals and salts) and relating the observed peaks to the atomic structure. Enter the lattice parameter and the Miller indices h, k, l.
Lattice Parameter (Cubic System)
Computes the lattice parameter of a cubic crystal, a = d·√(h² + k² + l²), from the interplanar spacing d (Å) measured by diffraction and the Miller indices h, k, l of the corresponding plane; the result is in Å. It is the inverse form of the cubic spacing relation: by measuring a diffraction peak, d is obtained from Bragg's law and, with the Miller indices assigned, the unit cell edge is calculated. The lattice parameter is the crystal's fundamental dimension — it defines the cell volume, the theoretical density and the spacing of all planes. Its precise measurement by X-ray diffraction is used to identify phases, detect solid solutions (parameter variation with composition) and measure residual stresses. Enter the interplanar spacing and the Miller indices h, k, l.
Crystallite Size (Scherrer Equation)
Computes the mean crystallite size of a material by the Scherrer equation, D = K·λ/(β·cos θ), from the shape factor K (typically 0.9), the radiation wavelength λ (nm), the full width at half maximum of the peak β (radians) and the Bragg angle θ (degrees); the result is in nm. The Scherrer equation relates the broadening of diffraction peaks to the size of crystalline domains: the smaller the crystallites, the broader the peaks. It is widely used to estimate the size of nanoparticles and nanomaterials from X-ray diffractograms, without needing microscopy. The K factor depends on the crystallite shape and the width definition; 0.9 is the standard value for approximately spherical particles. Enter the shape factor, the wavelength, the peak width and the angle.
Theoretical Crystal Density
Computes the theoretical (X-ray) density of a crystal, ρ = Z·M/(N_A·a³), from the number of formula units per unit cell Z, the molar mass M (g/mol) and the cubic lattice parameter a (Å, converted to cm); the result is in g/cm³. The theoretical density is the mass contained in the unit cell divided by its volume — calculated solely from the crystal structure and composition, without weighing the sample. For a face-centred cubic metal, Z = 4; for body-centred cubic, Z = 2. Comparing the theoretical density with the actual measured density reveals the presence of pores, defects or vacancies in the material. It is a central parameter in characterising crystalline materials. Enter the number of formula units per cell, the molar mass and the lattice parameter.
Cubic Unit Cell Volume
Computes the unit cell volume of a cubic crystal, V = a³, from the lattice parameter a (Å); the result is in ų. The unit cell is the smallest repeating block that, translated in the three directions, builds the whole crystal. In a cubic system, the three edges are equal and perpendicular, so the volume is simply the cube of the lattice parameter. The cell volume is needed to calculate the theoretical density, the atomic density and the number of atoms per unit volume, and it also appears in conversions between diffraction intensities. It is the basic geometric quantity connecting the lattice dimensions to the material's macroscopic properties. Enter the lattice parameter.
d-Spacing from 2θ (Diffractogram)
Computes the interplanar spacing directly from a peak position in 2θ, d = λ/(2·sin(θ)), with θ = 2θ/2, from the radiation wavelength λ (Å) and the angle 2θ (degrees) read on the diffractogram; the result is in Å. In an X-ray diffractogram, the horizontal axis is typically 2θ (twice the Bragg angle), as it is the angle between the incident and the diffracted beam. This calculator directly converts the peak position in 2θ into the corresponding d-spacing (diffraction order n = 1), the most frequent calculation in routine diffractogram interpretation. The resulting list of d-spacings is the fingerprint used to identify the crystalline phase by comparison with databases. Enter the wavelength and the 2θ angle.
Atomic Packing Factor (APF)
Computes the atomic packing factor of a crystal structure, APF = n·(4/3)·π·r³/a³, from the number of atoms per cell n, the atomic radius r (Å) and the lattice parameter a (Å); the result is dimensionless (a fraction between 0 and 1). The APF is the fraction of the unit cell volume effectively occupied by the atoms, treated as rigid spheres. It is a measure of how densely the atoms are arranged: face-centred cubic and hexagonal close-packed reach the maximum of 0.74 (the densest possible packing of equal spheres), body-centred cubic gives 0.68 and simple cubic, 0.52. The APF helps explain density differences between structures and is a central concept in the study of metallic crystals. Enter the number of atoms per cell, the atomic radius and the lattice parameter.
Number of Atoms per Unit Cell
Computes the number of atoms (or formula units) per unit cell from the density, n = ρ·N_A·a³/M, with the density ρ (g/cm³), the cubic lattice parameter a (Å, converted to cm) and the molar mass M (g/mol); the result is the number of atoms per cell. It is the inverse form of the theoretical density calculation: by measuring the actual density and the lattice parameter (by X-ray diffraction), how many atoms fit in each unit cell is determined. The value obtained (ideally close to integers such as 1, 2 or 4) indicates the structure type: 2 suggests body-centred cubic and 4, face-centred cubic. Deviations from integers reveal vacancies, solid solutions or measurement errors. It is a classic way to deduce the crystal structure from macroscopic measurements. Enter the density, the lattice parameter and the molar mass.
Mass-to-Charge Ratio (m/z)
Computes the mass-to-charge ratio of an ion, m/z = M/z, from the molecular mass M (Da) and the number of charges z; the result is dimensionless (in Th, thomson, or Da/charge units). The m/z ratio is the fundamental quantity measured by a mass spectrometer — the horizontal axis of the spectrum. Since mass analysers separate ions by the ratio of their mass to their charge (not by pure mass), a 1000 Da molecule with 2 charges appears at m/z = 500. In electrospray ionisation (ESI), large molecules form series of multiply-charged peaks at low m/z, allowing proteins to be analysed in limited-range equipment. It is the central concept of mass spectrometry. Enter the molecular mass and the number of charges.
Resolving Power (Mass Spectrometry)
Computes the resolving power of a mass spectrometer, R = m/Δm, from the peak mass m (Da) and the peak width Δm (Da, usually measured at half height); the result is dimensionless. The resolving power measures the instrument's ability to distinguish ions of close masses — the higher R, the narrower the peaks and the finer the detectable mass differences. Low-resolution instruments (quadrupole) have R of a few thousand; high-resolution ones (Orbitrap, FT-ICR) reach hundreds of thousands to millions, allowing determination of the molecular formula from the exact mass. It is the key specification distinguishing the classes of mass spectrometers. Enter the peak mass and the peak width.
Resolution Required to Separate Peaks
Computes the resolving power needed to separate two neighbouring peaks, R = m₁/(m₂ − m₁), from the masses of the two peaks m₁ and m₂ (Da, with m₂ > m₁); the result is dimensionless. To distinguish two species of close masses, the spectrometer needs a resolving power at least equal to this value. The smaller the mass difference between the peaks, the higher the required resolution — separating isotopes or isobars (same nominal mass number, different formulas) can require resolutions of tens of thousands. This calculation determines whether a given instrument can resolve a pair of interest and guides the equipment choice. Enter the masses of the two peaks.
Time of Flight (TOF)
Computes the flight time of an ion in a time-of-flight mass spectrometer, t = L·√(m/(2·z·e·V)), from the flight tube length L (m), the ion mass m (Da), the number of charges z and the acceleration voltage V (volts); the result is converted to µs (e = elementary charge). In a TOF, all ions receive the same kinetic energy from the acceleration; lighter (or more charged) ions travel faster and reach the detector earlier. The flight time is proportional to the square root of m/z. By measuring the arrival time, the mass is determined. It is the basis of one of the most used mass analysers, capable of very high speed and unlimited mass range. Enter the length, the mass, the charge and the voltage.
Mass from Time of Flight
Computes the mass of an ion from the measured flight time, m = 2·z·e·V·(t/L)², from the flight time t (µs), the number of charges z, the acceleration voltage V (volts) and the tube length L (m); the result is in Da. It is the inverse form: with the TOF spectrometer calibrated (L and V known), the arrival time of each ion at the detector is converted into its mass. Since the flight time is proportional to √(m/z), the mass is proportional to the square of the time. In practice, the calibration uses ions of known mass to correct small deviations; this calculation is the underlying physical principle. It is how the detector's time axis becomes the spectrum's mass axis. Enter the flight time, the charge, the voltage and the length.
Mass Error (ppm)
Computes the relative mass error in parts per million, error = (m_measured − m_theoretical)/m_theoretical·10⁶, from the measured mass m_measured (Da) and the theoretical (exact) mass m_theoretical (Da); the result is in ppm. The mass error in ppm is the standard accuracy metric in high-resolution mass spectrometry. Comparing the measured mass with the exact mass calculated from the molecular formula confirms a compound's identity: errors below 5 ppm (ideally < 3 ppm) are required for reliable molecular formula assignment. High-resolution, well-calibrated instruments reach < 1 ppm. It is the key criterion in identifying unknown compounds and metabolites. Enter the measured mass and the theoretical mass.
Number of Charges (ESI Deconvolution)
Computes the number of charges of a peak in an electrospray spectrum from two adjacent peaks of the multiply-charged series, z = (m₂ − 1.00728)/(m₁ − m₂), from the m/z of the higher-value peak m₁ and the adjacent lower-value peak m₂ (1.00728 = proton mass); the result is the number of charges. In ESI, a large molecule generates a series of peaks with consecutive charges (z, z+1, z+2...). Two neighbouring peaks of the series allow deducing each one's charge and, from there, the molecule's true molecular mass (deconvolution). This calculation is the heart of protein and biomolecule analysis by mass spectrometry, transforming a confusing series of peaks into a single mass. Enter the m/z values of the two adjacent peaks.
Specific Rotation (Polarimetry)
Computes the specific rotation of an optically active substance, [α] = α/(l·c), from the observed optical rotation α (degrees), the tube length l (dm) and the concentration c (g/mL); the result is in °·mL/(g·dm). The specific rotation is a characteristic property of a chiral substance: the angle by which it rotates the plane of polarised light, normalised by the optical path and the concentration. It is measured under standard conditions (usually at 20 °C and the sodium D line, 589 nm) and tabulated for each compound, serving as an identity and purity criterion. The sign indicates the rotation direction (+ dextrorotatory, − levorotatory). It is the central parameter of polarimetry, used in analysing sugars, drugs and natural products. Enter the observed rotation, the tube length and the concentration.
Concentration by Polarimetry
Computes the concentration of an optically active substance by polarimetry, c = α/([α]·l), from the observed optical rotation α (degrees), the specific rotation [α] (°·mL/(g·dm)) and the tube length l (dm); the result is in g/mL. It is the direct analytical application of polarimetry: knowing the substance's specific rotation (tabulated) and measuring a solution's observed rotation, the concentration is determined. Since the rotation is proportional to the concentration, polarimetry is a fast, non-destructive quantification method — widely used in the sugar industry (saccharimetry), in chiral drug control and in natural product analysis. The standard measurement uses the sodium D line at 20 °C. Enter the observed rotation, the specific rotation and the tube length.
Enantiomeric Excess (ee)
Computes the enantiomeric excess of a mixture of enantiomers, ee = (R − S)/(R + S)·100, from the proportions (or concentrations) of the major enantiomer R and the minor S (same unit); the result is in %. The enantiomeric excess measures the optical purity of a chiral sample — how much one enantiomer predominates over the other. ee = 100% means a single enantiomer (enantiopure); ee = 0% is a racemic mixture (equal proportions). It is a critical parameter in asymmetric synthesis and in drugs, where often only one enantiomer is active (or safe) and the other may be inert or toxic. It can be determined by polarimetry, chiral chromatography or NMR. Enter the proportions of the major and minor enantiomers.
Solution Conductivity
Computes the conductivity of a solution, κ = G·k_cell·1000, from the measured conductance G (S) and the cell constant k_cell (cm⁻¹); the result is in mS/cm. The conductivity is the solution's ability to conduct electric current, a property depending on the concentration of ions, their charge and mobility. The conductance measured by the cell is converted into conductivity (an intrinsic property, independent of geometry) by multiplying by the cell constant, which reflects the ratio of distance to electrode area. It is the basis of conductometry — used in water quality control, process monitoring and conductometric titrations. Ultrapure water has ~0.055 µS/cm; seawater, ~50 mS/cm. Enter the conductance and the cell constant.
Conductivity Cell Constant
Computes the constant of a conductivity cell, k_cell = L/A, from the distance between the electrodes L (cm) and the electrode area A (cm²); the result is in cm⁻¹. The cell constant is the geometric factor relating the measured conductance to the solution's conductivity: more distant or smaller-area electrodes give larger constants. Although theoretically calculable from the geometry, in practice the real constant is determined by measuring the conductance of a standard KCl solution of known conductivity. Typical constants range from 0.1 cm⁻¹ (pure waters, low conductivity) to 10 cm⁻¹ (concentrated solutions). It is an essential calibration parameter of the conductivity meter. Enter the electrode distance and the area.
Molar Conductivity
Computes the molar conductivity of an electrolyte, Λ_m = κ·1000/c, from the solution conductivity κ (S/cm) and the molar concentration c (mol/L); the result is in S·cm²/mol. The molar conductivity normalises the conductivity by concentration, allowing comparison of the conducting ability of different electrolytes on a common basis (per mole). For strong electrolytes, Λ_m falls slightly with concentration (Kohlrausch's law, √c); for weak ones, it falls greatly (due to lower dissociation). Extrapolating to infinite dilution gives Λ_m⁰, the limiting molar conductivity. It is a central parameter in the study of electrolytes, dissociation and ionic migration. Enter the conductivity and the concentration.
Limiting Molar Conductivity (Kohlrausch)
Computes the limiting molar conductivity of an electrolyte by Kohlrausch's law of independent ion migration, Λ_m⁰ = λ⁰₊ + λ⁰₋, from the limiting molar ionic conductivities of the cation λ⁰₊ and the anion λ⁰₋ (S·cm²/mol); the result is the sum, in the same unit. Kohlrausch's law states that, at infinite dilution (where ions move independently, without interference), the electrolyte's molar conductivity is simply the sum of the cation's and anion's individual contributions. Each ion has a characteristic, tabulated ionic conductivity (e.g. H⁺ = 350, OH⁻ = 199, Na⁺ = 50). This allows computing Λ_m⁰ of weak electrolytes (whose direct extrapolation is impossible) from strong-electrolyte data. Enter the cation and anion ionic conductivities.
Dissociation Degree (Conductometry)
Computes the dissociation degree of a weak electrolyte by conductometry, α = Λ_m/Λ_m⁰, from the molar conductivity at the working concentration Λ_m and the limiting molar conductivity Λ_m⁰ (S·cm²/mol); the result is dimensionless (between 0 and 1). The dissociation degree is the fraction of electrolyte molecules that ionised. Conductivity is only generated by free ions; thus the ratio of the observed molar conductivity to the limiting one (at infinite dilution, 100% dissociated) directly gives the ionised fraction — the basis of the Arrhenius-Ostwald method. It is used to determine the dissociation constant of weak acids and bases (Ka = α²c/(1−α)). Enter the molar conductivity and the limiting molar conductivity.
Peak Current (Randles-Sevcik)
Computes the peak current of a reversible cyclic voltammogram by the Randles-Sevcik equation, i_p = 2.69×10⁵·n^1.5·A·√D·C·√v, from the number of electrons n, the electrode area A (cm²), the diffusion coefficient D (cm²/s), the concentration C (mol/cm³) and the scan rate v (V/s); the result is converted to µA. The Randles-Sevcik equation predicts the peak maximum current in cyclic voltammetry for a diffusion-controlled, reversible process at 25 °C. The current grows with the square root of the scan rate — a signature of diffusional control, used to diagnose the mechanism. It is the quantitative basis of cyclic voltammetry, a central technique of analytical electrochemistry. Enter the electrochemical parameters and the scan rate.
Diffusion Coefficient (Randles-Sevcik)
Computes the diffusion coefficient of an electroactive species by the inverted Randles-Sevcik equation, D = (i_p/(2.69×10⁵·n^1.5·A·C·√v))², from the peak current i_p (A), the number of electrons n, the electrode area A (cm²), the concentration C (mol/cm³) and the scan rate v (V/s); the result is in 10⁻⁶ cm²/s. By measuring the peak current in cyclic voltammetry and knowing the other parameters, the diffusion coefficient is isolated — a fundamental property of the species in the medium. The method (from the slope of i_p versus √v) is the standard way to determine D in electrochemistry. Typical coefficients in water are on the order of 10⁻⁵ to 10⁻⁶ cm²/s. Enter the peak current, number of electrons, area, concentration and scan rate.
Cottrell Current (Chronoamperometry)
Computes the current in chronoamperometry by the Cottrell equation, i = n·F·A·C·√(D/(π·t)), from the number of electrons n, the Faraday constant F (96485 C/mol), the electrode area A (cm²), the concentration C (mol/cm³), the diffusion coefficient D (cm²/s) and the time t (s); the result is converted to µA. The Cottrell equation describes the current decay after a potential step: the current falls with 1/√t as the diffusion layer grows and the reactants near the electrode deplete. It is the signature of a semi-infinite linear diffusion-controlled process. A linear plot of i versus 1/√t (Cottrell plot) confirms diffusional control and allows obtaining D or the electroactive area. Enter the electrochemical parameters and the time.
Peak Separation (Reversibility)
Computes the expected separation between the anodic and cathodic peaks of a reversible cyclic voltammogram, ΔE_p = 59/n, from the number of transferred electrons n; the result is in mV (at 25 °C). The peak separation is the key electrochemical reversibility criterion in cyclic voltammetry: for a perfectly reversible diffusion-controlled system, the oxidation and reduction peaks are separated by 59/n mV (59 mV for one electron, 29.5 mV for two). Larger separations indicate quasi-reversibility or irreversibility (slow electron transfer kinetics) or uncompensated ohmic drop. Comparing the measured ΔE_p with the theoretical diagnoses the electrode mechanism. Enter the number of transferred electrons.
Ion Transport Number
Computes the transport (transference) number of an ion, t₊ = λ₊/(λ₊ + λ₋), from the ionic conductivities of the cation λ₊ and the anion λ₋ (S·cm²/mol); the result is dimensionless (between 0 and 1). The transport number is the fraction of the total electric current carried by a particular ion in the solution. Since cation and anion migrate in opposite directions under the field, each carries a part of the current proportional to its ionic conductivity (mobility). The sum of the cation's and anion's transport numbers is always 1. More mobile ions (such as H⁺ and OH⁻) have a high transport number. It is a central concept in the study of ionic migration, electrochemical cells and selective membranes. Enter the cation and anion ionic conductivities.
Electrophoretic Mobility
Computes the electrophoretic mobility of a charged species, μ = v/E·10⁴, from the migration velocity v (cm/s) and the electric field E (V/cm); the result is in 10⁻⁴ cm²/(V·s). The electrophoretic mobility is the velocity an ion acquires per unit electric field — an intrinsic property depending on the molecule's charge, size and shape and the medium's viscosity. Small, highly charged ions have high mobility; large molecules, low. It is the fundamental parameter of electrophoresis: species separation is based on their different mobilities. Typical values range from 1 to 8 (×10⁻⁴ cm²/(V·s)). Enter the migration velocity and the electric field.
Electric Field in Electrophoresis
Computes the electric field in an electrophoresis run, E = V/L, from the applied voltage V (volts) and the capillary (or gel) length L (cm); the result is in V/cm. The electric field is the driving force of the electrophoretic separation — the higher it is, the faster the ions migrate. In capillary electrophoresis, high fields (hundreds of V/cm) allow fast, efficient separations but generate Joule heating, which must be dissipated to avoid degrading the resolution and the sample. The field is the voltage divided by the distance between the electrodes. Balancing a high field (speed) with controlled heating is the method's challenge. Enter the applied voltage and the capillary length.
Migration Velocity (Electrophoresis)
Computes the migration velocity of a species in electrophoresis, v = μ·E·10⁻⁴, from the mobility μ (10⁻⁴ cm²/(V·s)) and the electric field E (V/cm); the result is in cm/s. The migration velocity is how fast the ion moves through the capillary under the electric field — the product of its mobility and the field. It determines the time each species takes to reach the detector and therefore its position in the electropherogram. Species of different mobility migrate at different velocities and separate along the capillary. It is the calculation connecting the intrinsic property (mobility) to the experimental condition (field) and to the observable result. Enter the mobility and the electric field.
Migration Time (Electrophoresis)
Computes the migration time of a species in capillary electrophoresis, t = L²/(μ·V·10⁻⁴), from the capillary length L (cm), the mobility μ (10⁻⁴ cm²/(V·s)) and the applied voltage V (volts); the result is in seconds. The migration time is how long the species takes to traverse the capillary to the detector — the distance divided by the velocity. Combining v = μ·E and E = V/L, the time becomes proportional to the square of the length and inversely to the mobility and voltage. It is the quantity directly measured in CE (the electropherogram axis). Higher-mobility species migrate faster (shorter time). Knowing the time allows identifying peaks and planning the run. Enter the length, the mobility and the voltage.
Apparent Mobility (Electrophoresis)
Computes the apparent mobility of a species in capillary electrophoresis, μ_ap = μ_e + μ_eo, from the species' own electrophoretic mobility μ_e and the electroosmotic mobility μ_eo (both in 10⁻⁴ cm²/(V·s)); the result is the sum, in the same unit. The apparent mobility is the observed resultant velocity of a species in the capillary, combining its own electrophoretic motion (attraction to the opposite-charge electrode) with the drag by the liquid's electroosmotic flow (EOF). The EOF, usually intense, carries all species in the same direction; so even anions and neutral molecules migrate to the detector. The apparent mobility is what actually determines the migration time. Enter the own and electroosmotic mobilities.
Effective Mobility (Electrophoresis)
Computes the effective (own) mobility of a species in capillary electrophoresis, μ_e = μ_ap − μ_eo, from the measured apparent mobility μ_ap and the electroosmotic mobility μ_eo (both in 10⁻⁴ cm²/(V·s)); the result is the difference, in the same unit. It is the inverse form: subtracting the electroosmotic flow effect (measured with a neutral marker) from the observed apparent mobility isolates the analyte's own electrophoretic mobility — the intrinsic quantity characterising the ion, independent of EOF conditions. The effective mobility is the basis of species identification in CE, since it is reproducible between different runs and instruments (unlike the migration time, sensitive to EOF). Enter the apparent and electroosmotic mobilities.
Electroosmotic Mobility (Neutral Marker)
Computes the electroosmotic (EOF) mobility from a neutral marker, μ_eo = (L_t·L_d)/(V·t_eo)·10⁴, from the total capillary length L_t (cm), the effective length to the detector L_d (cm), the voltage V (volts) and the neutral marker migration time t_eo (s); the result is in 10⁻⁴ cm²/(V·s). The electroosmotic flow is the bulk liquid movement in the capillary, generated by the electric double layer at the silica wall under the field. A neutral compound (with no own mobility) moves only by the EOF, so measuring its migration time allows computing μ_eo. Knowing the EOF is essential for obtaining the analytes' effective mobilities and for controlling the separation (the EOF varies with pH, buffer and coating). Enter the lengths, the voltage and the marker time.
Theoretical Plates (CE)
Computes the number of theoretical plates of a capillary electrophoresis separation, N = μ_ap·V·10⁻⁴/(2·D), from the apparent mobility μ_ap (10⁻⁴ cm²/(V·s)), the applied voltage V (volts) and the analyte's diffusion coefficient D (cm²/s); the result is dimensionless. Unlike chromatography, in capillary electrophoresis the only source of peak broadening (ideally) is longitudinal diffusion — there is no mass transfer between phases. So the efficiency grows directly with the voltage (field) and is independent of length. CE achieves extraordinary efficiencies, from hundreds of thousands to millions of plates, far above chromatography. Lower diffusion (large molecules) and higher voltage raise N. Enter the apparent mobility, the voltage and the diffusion coefficient.
Dissipated Power (Joule Heating)
Computes the power dissipated by the Joule effect in an electrophoresis run, P = V·I, from the applied voltage V (volts) and the electric current I (A); the result is in watts. The current passing through the buffer solution generates heat (Joule heating), which is the main limiting factor of high-voltage capillary electrophoresis. This heat, if not dissipated, raises the temperature, reduces the viscosity (altering the EOF and mobilities), creates radial temperature gradients that broaden the peaks and can degrade thermolabile samples. Thin capillaries (high surface/volume ratio) and low-conductivity buffers minimise the problem. Monitoring the power (and current) is essential for a stable separation. Enter the voltage and the current.
Resolution in Capillary Electrophoresis
Computes the resolution between two analytes in capillary electrophoresis, R_s = (√N/4)·(Δμ/μ_mean), from the number of theoretical plates N, the mobility difference between the two analytes Δμ and the mean mobility μ_mean (Δμ and μ_mean in the same unit); the result is dimensionless. The resolution in CE depends on the efficiency (√N) and the selectivity (the relative mobility difference Δμ/μ_mean). R_s = 1.5 corresponds to baseline separation. Since the efficiency in CE is very high, separations of species with very close mobilities are possible. Increasing resolution involves raising the voltage (more N) or adjusting the buffer/additives to increase the mobility difference. It is the final separation performance indicator. Enter the number of plates, the mobility difference and the mean mobility.
Concentration — Zero-Order Kinetics
Computes the remaining concentration in a zero-order reaction by the integrated law, [A] = [A]₀ − k·t, from the initial concentration [A]₀ (mol/L), the rate constant k (mol/(L·s)) and the time t (s); the result is in mol/L. In a zero-order reaction, the rate is constant and independent of the reactant concentration — the consumption is linear in time. This occurs, for example, in reactions catalysed by saturated enzymes, in photolysis with constant light and in some heterogeneous processes. The concentration falls at a fixed rate k until the reactant is exhausted. It is the simplest of the integrated rate laws. Enter the initial concentration, the rate constant and the time.
Concentration — Second-Order Kinetics
Computes the remaining concentration in a second-order reaction by the integrated law, [A] = 1/(1/[A]₀ + k·t), from the initial concentration [A]₀ (mol/L), the rate constant k (L/(mol·s)) and the time t (s); the result is in mol/L. In a second-order reaction, the rate is proportional to the square of the concentration (or to the product of two concentrations). The integrated law is linear when 1/[A] is plotted against time (slope k). The concentration falls fast at first and decelerates greatly as [A] decreases — the reactant never fully depletes in finite time. It is common in dimerisations and bimolecular reactions. Enter the initial concentration, the rate constant and the time.
Half-Life — Zero Order
Computes the half-life of a zero-order reaction, t₁/₂ = [A]₀/(2k), from the initial concentration [A]₀ (mol/L) and the rate constant k (mol/(L·s)); the result is in seconds. The half-life is the time for the concentration to fall to half the initial value. Unlike first order (whose half-life is constant), in zero order the half-life depends on the initial concentration: the more reactant, the longer to consume half (since the rate is fixed). Successive half-lives keep decreasing. This dependence of the half-life on [A]₀ is, incidentally, a diagnostic of the reaction order. Enter the initial concentration and the rate constant.
Half-Life — Second Order
Computes the half-life of a second-order reaction, t₁/₂ = 1/(k·[A]₀), from the rate constant k (L/(mol·s)) and the initial concentration [A]₀ (mol/L); the result is in seconds. In second order, the half-life is inversely proportional to the initial concentration: the more dilute the solution, the longer the half-life (the reaction slows at low concentrations). This is the opposite of zero order and different from first order (constant). Successive half-lives keep doubling (each half takes twice the time of the previous). How the half-life varies with [A]₀ identifies the reaction order from experimental data. Enter the rate constant and the initial concentration.
Activation Energy (Arrhenius)
Computes the activation energy of a reaction by the two-point form of the Arrhenius equation, E_a = R·ln(k₂/k₁)/(1/T₁ − 1/T₂), from the rate constants k₁ and k₂ measured at temperatures T₁ and T₂ (K); the result is in kJ/mol (R = 8.314 J/(mol·K)). The activation energy is the energy barrier molecules must overcome to react — the higher E_a, the more sensitive the rate to temperature. By measuring the rate constant at two temperatures, this form of the Arrhenius equation extracts E_a without needing the full plot. Typical values range from 40 to 200 kJ/mol. It is a central parameter of chemical kinetics and process design. Enter the rate constants and the temperatures.
Rate Constant at Another Temperature
Computes the rate constant at a new temperature by the Arrhenius equation, k₂ = k₁·exp(−E_a/R·(1/T₂ − 1/T₁)), from the known constant k₁ at temperature T₁ (K), the activation energy E_a (J/mol) and the new temperature T₂ (K); the result is in the same unit as k₁ (R = 8.314 J/(mol·K)). Knowing the rate constant at one temperature and the activation energy, the rate at any other temperature is predicted. It is the basis of the rule of thumb that the rate doubles every 10 °C (for E_a ~50 kJ/mol), and of designing processes at temperatures other than the test ones, predicting shelf life (accelerated Arrhenius) and controlling exothermic reactions. Enter the constant k₁, the activation energy and the temperatures.
Frequency Factor (Pre-Exponential)
Computes the frequency factor (pre-exponential factor A) of the Arrhenius equation, A = k·exp(E_a/(R·T)), from the rate constant k (measured at temperature T), the activation energy E_a (J/mol) and the temperature T (K); the result is in the same unit as k (R = 8.314 J/(mol·K)). The frequency factor represents the collision frequency between reactant molecules with the correct orientation, regardless of energy. It is the upper limit of the rate constant (the rate the reaction would have with no energy barrier). Together with E_a, it fully defines the rate constant's temperature dependence (k = A·e^(−Ea/RT)). It is determined from kinetic data at a known temperature. Enter the rate constant, the activation energy and the temperature.
Conversion — Zero Order
Computes the conversion of a zero-order reaction, X = k·t/[A]₀·100, from the rate constant k (mol/(L·s)), the time t (s) and the initial concentration [A]₀ (mol/L); the result is in %. The conversion is the fraction of reactant that has reacted. In zero order, since the rate is constant, the conversion grows linearly with time, reaching 100% at the depletion time ([A]₀/k). This linear behaviour simplifies process control: doubling the time doubles the conversion (until depletion). It is useful for predicting the time needed to reach a target conversion in reactors where the kinetics is zero order (e.g. saturated enzymatic reactions). Enter the rate constant, the time and the initial concentration.
Reaction Time — Zero Order
Computes the time needed to reach a target concentration in a zero-order reaction, t = ([A]₀ − [A])/k, from the initial concentration [A]₀ (mol/L), the desired final concentration [A] (mol/L) and the rate constant k (mol/(L·s)); the result is in seconds. It is the inverse form of the zero-order integrated law: given how much the reactant concentration is to be reduced, the required reaction time is calculated, since the rate is constant. This calculation sizes the residence time of reactors and the process time for zero-order reactions. When [A] = 0, the time is that of total reactant depletion. Enter the initial and final concentrations and the rate constant.
Concentration — First-Order Kinetics
Computes the remaining concentration in a first-order reaction by the integrated law, [A] = [A]₀·e^(−k·t), from the initial concentration [A]₀ (mol/L), the rate constant k (1/s) and the time t (s); the result is in mol/L. In first-order kinetics, the rate is proportional to the reactant concentration, resulting in exponential decay — the same pattern as radioactive decay and drug elimination in the body. The concentration halves every constant half-life (ln2/k), regardless of the initial value. It is the most common order in decomposition, isomerisation and pharmacokinetic processes. Enter the initial concentration, the rate constant and the time.
Gravimetric Factor
Computes the gravimetric factor of a precipitation analysis, GF = (a·M_analyte)/(b·M_precipitate), from the number of moles of analyte in the formula a, the analyte molar mass M_analyte (g/mol), the number of moles of precipitate b and the precipitate molar mass M_precipitate (g/mol); the result is dimensionless. The gravimetric factor converts the weighed precipitate mass into the sought analyte mass, accounting for the precipitation reaction stoichiometry and the molar masses. For example, in determining sulfur as BaSO₄, GF = M(S)/M(BaSO₄) = 0.1374. It is the central coefficient of classical gravimetric analysis, used in the precise determination of metals, sulfate, phosphate and chloride. Enter the stoichiometry and the analyte and precipitate molar masses.
Analyte Mass (Gravimetry)
Computes the analyte mass in a gravimetric analysis, m_analyte = m_precipitate·GF, from the weighed precipitate mass m_precipitate (g) and the gravimetric factor GF; the result is in g. After filtering, washing, drying (or igniting) and weighing the precipitate, its mass is multiplied by the gravimetric factor to obtain the analyte mass that was in the original sample. It is the final step of the gravimetric calculation, transforming the mass measurement (the most precise quantity in analytical chemistry) into the analyte amount. Gravimetry is an absolute method: it needs no calibration standards, only a precise analytical balance. Enter the precipitate mass and the gravimetric factor.
Analyte Percentage in Sample
Computes the analyte percentage in a sample, % = (m_analyte/m_sample)·100, from the analyte mass m_analyte (g) and the original sample mass m_sample (g); the result is in %. It is the final result of a quantitative analysis: the content of the component of interest in the sample. The analyte mass (obtained by gravimetry, titration or another method) divided by the weighed sample mass gives the mass fraction. It is the way to report composition in analyses of ores, alloys, fertilisers, foods and chemical products. The precision depends on the accuracy of both masses and the absence of interferents in the method. Enter the analyte mass and the sample mass.
Expected Precipitate Mass
Computes the expected precipitate mass in a gravimetric analysis, m_precipitate = m_analyte/GF, from the estimated analyte mass m_analyte (g) and the gravimetric factor GF; the result is in g. It is the inverse form: knowing (or estimating) the analyte amount in the sample, it predicts how much precipitate will form. This calculation is used in analysis planning — to check whether the precipitate mass will suffice for a precise weighing (neither too little, losing precision, nor too much, hindering filtration) and to size the precipitating reagent volume and sample size. It is a design step of the gravimetric procedure. Enter the estimated analyte mass and the gravimetric factor.
Concentration by Titration
Computes a sample's concentration by titration, C_sample = (C_titrant·V_titrant)/V_sample, from the titrant concentration C_titrant (mol/L), the volume of titrant used V_titrant (mL) and the sample volume V_sample (mL); the result is in mol/L (for a 1:1 reaction). At the equivalence point of a titration, the moles of titrant equal the moles of analyte (in stoichiometric proportion). Knowing the titrant's exact concentration (standardised) and measuring the volume used until the endpoint, the sample's unknown concentration is determined. It is the central calculation of volumetric analysis (titrimetry), used in determinations of acids, bases, oxidants, chloride and water hardness. For stoichiometries other than 1:1, it is adjusted by the stoichiometric factor. Enter the titrant concentration and the volumes.
Titrant Volume at Equivalence Point
Computes the titrant volume needed to reach the equivalence point, V_titrant = (C_sample·V_sample)/C_titrant, from the sample concentration C_sample (mol/L), the sample volume V_sample (mL) and the titrant concentration C_titrant (mol/L); the result is in mL (for a 1:1 reaction). It is the inverse form: knowing the analyte's approximate concentration, it predicts how much titrant will be consumed. This calculation is used to plan the titration — choosing the titrant concentration and sample volume so the consumption falls in a suitable burette range (typically 10 to 40 mL, for good reading precision). It also serves to check whether an experimental result is consistent. Enter the sample concentration and volume and the titrant concentration.
Analyte Mass (Titration)
Computes the analyte mass determined by titration, m = C_titrant·V_titrant·E, from the titrant concentration C_titrant (eq/L or mol/L), the volume used V_titrant (L) and the analyte's equivalent (or molar) mass E (g/eq or g/mol); the result is in g. The equivalents (or moles) of titrant used until the equivalence point equal those of the analyte; multiplying by the analyte's equivalent mass gives its mass in the sample. It is the calculation connecting the volumetric measurement to the component's mass, closing the titrimetric analysis. Dividing by the sample mass gives the percentage content. It is widely used in acid-base, redox and complexation titrations. Enter the titrant concentration, the volume used and the analyte's equivalent mass.
Titrant Correction Factor
Computes the correction factor of a standardised titrant solution, f_c = V_theoretical/V_used, from the expected theoretical volume V_theoretical (mL) and the actually used volume V_used (mL) in the standardisation against a primary standard; the result is dimensionless. The correction factor adjusts a solution's nominal concentration to its real concentration, determined by standardisation. A solution prepared to be 0.1 mol/L rarely ends up exactly at that concentration; titrating it against a primary standard (of known purity), the correction factor (near 1) corrects the difference. The real concentration is the nominal multiplied by f_c. Every titration result using this solution must be multiplied by f_c. It is an essential step of precision volumetry. Enter the theoretical and used volumes.
Nernstian Slope
Computes the Nernstian slope of an ion-selective electrode at 25 °C, S = 59.16/n, from the ion charge n (with sign); the result is in mV per decade of concentration. The Nernstian slope is the ideal change in electrode potential for each tenfold change in the measured ion's activity, predicted by the Nernst equation. For a monovalent ion (n = 1), the theoretical slope is 59.16 mV/decade; for a divalent (n = 2), 29.58 mV/decade. In practice, real electrodes have slightly lower slopes (sub-Nernstian slope); comparing the measured slope (from calibration) with the theoretical assesses the electrode's health. It is the central parameter of potentiometry with selective electrodes (pH, fluoride, nitrate). Enter the ion charge.
Equivalent Weight
Computes the equivalent weight (gram-equivalent) of a substance, E = M/n, from the molar mass M (g/mol) and the number of equivalents per mole n (number of H⁺/OH⁻ exchanged in acid-base, or electrons in redox, or charge in salts); the result is in g/eq. The equivalent weight is the amount of substance that reacts with (or provides) one mole of reactive charges — a central concept in classical volumetric analysis based on normality. For example, H₂SO₄ (M = 98 g/mol, 2 H⁺) has E = 49 g/eq. Using equivalents simplifies titration calculations, since at the equivalence point the number of equivalents of titrant and analyte is equal, regardless of the stoichiometry. Enter the molar mass and the number of equivalents per mole.
Absorbance (Beer-Lambert Law)
Computes the absorbance of a solution by the Beer-Lambert law, A = ε·b·c, from the molar absorptivity ε (L/(mol·cm)), the optical path b (cm) and the molar concentration c (mol/L); the result is dimensionless. The Beer-Lambert law is the foundation of spectrophotometry: a solution's light absorbance is proportional to the absorbing species' concentration, the path the light travels and the molecule's intrinsic absorbing ability (ε). The relationship is linear up to absorbances of about 1 (above that, deviations occur). It is the basis of all quantitative analysis by colorimetry and UV-Vis — by measuring A, the concentration is determined. Enter the molar absorptivity, the optical path and the concentration.
Transmittance from Absorbance
Computes the percentage transmittance of a solution from the absorbance, T = 10^(−A)·100, from the absorbance A (dimensionless); the result is in %. The transmittance is the fraction of incident light that passes through the sample without being absorbed; it relates to the absorbance by the definition A = −log₁₀(T). Unlike absorbance (which is linear with concentration), transmittance varies exponentially: A = 0 gives 100% transmittance (nothing absorbs); A = 1 gives 10%; A = 2 gives 1%. Old spectrophotometers read in %T; modern ones convert to A, more convenient for quantitative analysis. This conversion is useful when interpreting data or specifications in %T. Enter the absorbance.
Absorbance from Transmittance
Computes the absorbance of a solution from the percentage transmittance, A = −log₁₀(T/100), from the transmittance T (%); the result is dimensionless. It is the inverse form: given the measured transmittance (fraction of light passing), it yields the absorbance, which is the quantity linear with concentration and therefore preferred for quantitative analysis. The negative logarithm converts the exponential transmittance scale into the linear absorbance scale. A transmittance of 100% gives A = 0; 10% gives A = 1; 1% gives A = 2. It is the conversion used when working with instruments or data expressed in %T. Enter the percentage transmittance.
Concentration (Beer-Lambert Law)
Computes the concentration of a solution by the Beer-Lambert law, c = A/(ε·b), from the absorbance A, the molar absorptivity ε (L/(mol·cm)) and the optical path b (cm); the result is converted to µmol/L. It is the direct analytical application of the Beer-Lambert law: by measuring a sample's absorbance and knowing the species' molar absorptivity and the cuvette path, the unknown concentration is determined. It is the central calculation of quantitative spectrophotometry, used in clinical, environmental, pharmaceutical and food analyses. The precision is best in the absorbance range of 0.2 to 0.8 (minimum relative error). Enter the absorbance, the molar absorptivity and the optical path.
Molar Absorptivity
Computes the molar absorptivity (molar extinction coefficient) of a species, ε = A/(b·c), from the absorbance A, the optical path b (cm) and the concentration c (mol/L); the result is in L/(mol·cm). The molar absorptivity is an intrinsic property of the molecule at a given wavelength: it measures how strongly it absorbs light. High values (10,000 to 100,000+) indicate allowed electronic transitions (intense chromophores, ideal for trace analysis); low values, forbidden transitions. It is determined experimentally by measuring the absorbance of a solution of known concentration and is tabulated for each compound and wavelength. The higher ε, the more sensitive the analysis. Enter the absorbance, the optical path and the concentration.
Cuvette Optical Path Length
Computes the required optical path (cuvette width), b = A/(ε·c), from the absorbance A, the molar absorptivity ε (L/(mol·cm)) and the concentration c (mol/L); the result is in cm. The optical path is the distance the light travels through the sample — the cuvette width. The standard cuvette is 1 cm, but very dilute samples can use longer paths (up to 10 cm) to increase the absorbance and sensitivity, while concentrated samples use shorter paths (flow or microvolume cuvettes) to keep the absorbance in the linear range. This formula determines the path that places the absorbance of a known-concentration sample at a target value. Enter the absorbance, the molar absorptivity and the concentration.
Concentration by Calibration Curve
Computes a sample's concentration from a linear calibration curve, c = (A − intercept)/slope, from the measured absorbance A, the line intercept (blank absorbance) and the line slope (absorbance per mol/L); the result is converted to µmol/L. In analytical practice, the absorbance of standards of known concentration is measured, a line is fitted (A = slope·c + intercept) and, with the line equation, the concentration of unknown samples is interpolated. This method is more robust than using the tabulated molar absorptivity, since it includes the real conditions of the instrument and method. It is the standard procedure of quantification by spectrophotometry. Enter the absorbance, the intercept and the slope of the calibration line.
Limit of Detection (LOD)
Computes the limit of detection (LOD) of a spectrophotometric method, LOD = 3.3·σ/m, from the blank standard deviation σ (in absorbance units) and the calibration curve slope m (absorbance per mol/L); the result is converted to µmol/L. The detection limit is the lowest concentration the method can distinguish from background noise with confidence (the factor 3.3 corresponds to a ~99% confidence level per IUPAC). It is determined by the blank variability (σ) and the method sensitivity (slope m): more sensitive methods (high m) and more stable ones (low σ) detect lower concentrations. It is a mandatory parameter of analytical method validation. Enter the blank standard deviation and the curve slope.
Limit of Quantification (LOQ)
Computes the limit of quantification (LOQ) of an analytical method, LOQ = 10·σ/m, from the blank standard deviation σ (in absorbance units) and the calibration curve slope m (absorbance per mol/L); the result is converted to µmol/L. The quantification limit is the lowest concentration the method can not only detect but measure with acceptable precision and accuracy (the factor 10, more conservative than the 3.3 of the LOD, ensures low relative uncertainty). Always greater than the LOD (about 3 times), the LOQ defines the start of the method's reliable working range. It is, together with the LOD, an essential parameter in analytical method validation and regulatory specifications. Enter the blank standard deviation and the curve slope.
Mixture Absorbance (Additivity)
Computes the total absorbance of a mixture of absorbing species by the additivity property, A_total = A₁ + A₂, from the individual absorbances A₁ and A₂ at the same wavelength (dimensionless). One of the fundamental properties of the Beer-Lambert law is that, in a mixture of non-interacting species, the total absorbance at a given wavelength is the sum of each component's absorbances. This allows analysing mixtures: by measuring the absorbance at several wavelengths, a system of equations is built to determine each component's concentration (multicomponent analysis). It is the basis of mixture spectrophotometry and spectral derivation. Enter the absorbances of the two components.
Thiele Modulus (Sphere)
Computes the Thiele modulus of a spherical catalyst particle for a first-order reaction, φ = R·√(k/D_e), from the particle radius R (m), the reaction rate constant k (1/s) and the effective diffusivity D_e (m²/s); the result is dimensionless. The Thiele modulus compares the chemical reaction rate with the diffusion rate of reactants into the particle pores. When φ is small (< 0.4), the reaction is slow and the reactant penetrates the whole particle (no diffusional limitation); when φ is large (> 4), the reaction is so fast that it consumes the reactant near the surface, leaving the interior underused. It is the central parameter of heterogeneous catalysis in porous particles. Enter the radius, the rate constant and the effective diffusivity.
Effectiveness Factor (Sphere)
Computes the effectiveness factor of a spherical catalyst particle, η = (3/φ²)·(φ/tanh(φ) − 1), from the Thiele modulus φ; the result is dimensionless (between 0 and 1). The effectiveness factor is the ratio of the actual reaction rate (with diffusional limitation) to the rate that would occur if the whole particle were at the surface concentration (no limitation). η near 1 (small φ) means the whole particle is used; small η (large φ) means only the outer shell reacts, wasting the internal catalyst. Multiplying the intrinsic rate by η gives the observed rate. It is the parameter quantifying the diffusional penalty in fixed-bed reactor design. Enter the Thiele modulus.
Effectiveness Factor (Slab)
Computes the effectiveness factor of a catalyst in flat slab geometry, η = tanh(φ)/φ, from the Thiele modulus φ; the result is dimensionless (between 0 and 1). For a slab (or thin pellet), the diffusion-reaction solution results in this simple hyperbolic-tangent form. As in the sphere, η measures the fraction of catalytic capacity effectively used: η ≈ 1 for small φ (reaction control) and η ≈ 1/φ for large φ (internal diffusion control). The slab geometry is the simplest and serves as a reference; spheres and cylinders have slightly different factors for the same φ. It is used in pellets, monoliths and thin catalytic coatings. Enter the Thiele modulus.
Weisz-Prater Criterion
Computes the Weisz-Prater modulus (C_WP), Φ_WP = r_obs·R²/(D_e·C_s), from the observed reaction rate per volume r_obs (mol/(m³·s)), the particle radius R (m), the effective diffusivity D_e (m²/s) and the surface concentration C_s (mol/m³); the result is dimensionless. The Weisz-Prater criterion uses only measurable quantities (the observed rate, not the intrinsic one) to diagnose whether there is internal diffusion limitation without needing to know the rate constant. The rule of thumb: Φ_WP << 1 indicates no diffusional limitation (the whole particle is effective); Φ_WP >> 1 indicates strong limitation. It is the experimental tool to validate that measured kinetic data are free of diffusional artefacts. Enter the observed rate, the radius, the effective diffusivity and the surface concentration.
Mass Biot Number
Computes the mass Biot number of a catalyst particle, Bi = k_c·R/D_e, from the external mass transfer coefficient k_c (m/s), the particle radius R (m) and the internal effective diffusivity D_e (m²/s); the result is dimensionless. The mass Biot number compares the internal mass transfer resistance (pore diffusion) with the external one (from the fluid bulk to the particle surface). Bi >> 1 means the external resistance is negligible (the surface concentration ≈ the bulk) and internal diffusion dominates; Bi << 1 means external boundary-layer control. It indicates which transport step limits the reaction and guides whether more agitation helps (external) or smaller particles (internal). Enter the mass transfer coefficient, the radius and the effective diffusivity.
Observed Reaction Rate (Catalyst)
Computes the observed reaction rate in a porous catalyst, r_obs = η·k·C_s, from the effectiveness factor η, the intrinsic rate constant k (1/s) and the surface concentration C_s (mol/m³); the result is in mol/(m³·s). The observed (effective) rate is the reaction's intrinsic rate (k·C_s, the one that would occur without diffusional limitation) multiplied by the effectiveness factor, which discounts the part of the particle underused by slow diffusion. It is the rate measured experimentally and used in the real fixed-bed reactor sizing. When η = 1 (no limitation), the observed rate equals the intrinsic; when η < 1, it is lower. Enter the effectiveness factor, the rate constant and the surface concentration.
Particle Characteristic Length
Computes the characteristic length of a catalyst particle, L_c = V_p/A_p, from the particle volume V_p (m³) and its external surface area A_p (m²); the result is in mm. The characteristic length (volume divided by external area) is the dimension used in the generalized Thiele modulus so particles of any geometry can be compared on the same basis. For a sphere, L_c = R/3; for a long cylinder, L_c = R/2; for a slab, L_c = half the thickness. Using L_c instead of the nominal radius makes the effectiveness factors of different geometries nearly coincide for high moduli, simplifying the design. Enter the particle volume and the external surface area.
Generalized Thiele Modulus
Computes the generalized Thiele modulus using the characteristic length, φ = L_c·√(k/D_e), from the characteristic length L_c (m), the rate constant k (1/s) and the effective diffusivity D_e (m²/s); the result is dimensionless. The generalized modulus replaces the radius with the characteristic length (V_p/A_p) so particles of different geometries (spheres, cylinders, slabs, irregular shapes) can be treated with a single effectiveness correlation. For large moduli, the effectiveness factors of all geometries converge to η ≈ 1/φ when this definition is used. It is the robust way to apply Thiele theory to commercial catalysts of varied shapes. Enter the characteristic length, the rate constant and the effective diffusivity.
Prater Number (β)
Computes the Prater number of a catalyst particle, β = (−ΔH)·D_e·C_s/(λ·T_s), from the reaction enthalpy −ΔH (J/mol), the effective diffusivity D_e (m²/s), the surface concentration C_s (mol/m³), the particle's effective thermal conductivity λ (W/(m·K)) and the surface temperature T_s (K); the result is dimensionless. The Prater number is the maximum dimensionless temperature variation inside the particle, arising from the heat released (or absorbed) by the reaction that is not removed fast enough by conduction. β > 0 (exothermic reaction) creates an interior hotter than the surface, which can raise the effectiveness factor above 1 (the reaction accelerates with temperature more than it slows from the concentration drop). β is central in the stability and hot-spot analysis in catalysis. Enter the enthalpy, the diffusivity, the concentration, the conductivity and the temperature.
Surface Reaction Rate
Computes the intrinsic reaction rate at the catalyst surface for first order, r_s = k·C_s, from the rate constant k (1/s) and the reactant surface concentration C_s (mol/m³); the result is in mol/(m³·s). This is the rate the reaction would have with no diffusional limitation at all — that is, if the whole particle were at the surface concentration. It is the 'true' chemistry rate, determined by the intrinsic kinetics (constant k, which follows Arrhenius with temperature). Compared with the observed rate (r_s·η), it reveals how much internal diffusion penalises the performance. It is the starting point of catalytic reactor analysis. Enter the rate constant and the surface concentration.
Column Theoretical Plates
Computes the number of theoretical plates of a chromatographic column, N = 16·(t_R/W)², from the peak retention time t_R and the peak width at the baseline W (same time unit); the result is dimensionless. The number of theoretical plates measures the column efficiency — the higher N, the narrower the peaks and the better the separation. Each 'plate' represents an equilibrium between the mobile and stationary phases; longer columns with smaller particles have more plates. The formula uses the width measured by the tangent at the base (4σ). Modern HPLC columns have 10,000 to 100,000 plates per metre. It is the key column quality indicator. Enter the retention time and the peak width at the base.
Theoretical Plates by Half-Height
Computes the number of theoretical plates of a column by the half-height method, N = 5.54·(t_R/W₁/₂)², from the retention time t_R and the peak width at half height W₁/₂ (same time unit); the result is dimensionless. This is the preferred method in practice (and the pharmacopeia standard), since the half-height width is easier and more precise to measure than the base width — it does not depend on extrapolating tangents and is less affected by noise and tailing. The constant 5.54 (= 8·ln2) replaces the 16 of the base method. For an ideal Gaussian peak, both methods give the same N; differences indicate asymmetry. It is the most used efficiency calculation in analytical validation. Enter the retention time and the half-height width.
Height Equivalent to a Theoretical Plate (HETP)
Computes the height equivalent to a theoretical plate (HETP), H = L·10000/N, from the column length L (cm) and the number of theoretical plates N; the result is in µm. The HETP is the column length corresponding to one theoretical plate — the smaller, the more efficient the column per unit length. It is the way to compare the intrinsic efficiency of columns of different sizes (N depends on length; H does not). Typical values range from a few µm (UHPLC columns with sub-2 µm particles) to tens of µm. The minimum HETP (and the optimal velocity) are given by the van Deemter curve. It is the fundamental parameter in column development. Enter the column length and the number of plates.
Retention Factor (Capacity)
Computes the retention factor (capacity factor) of an analyte, k = (t_R − t₀)/t₀, from the peak retention time t_R and the column dead time t₀ (the time of an unretained compound, same unit); the result is dimensionless. The retention factor measures how long the analyte spends in the stationary phase relative to the mobile phase — the higher k, the more strongly retained. It is independent of column dimensions and flow, depending only on the separation chemistry, making it ideal for transferring methods between instruments. The optimal range for separations is 1 < k < 10: too low k gives little separation (near the dead time); too high k broadens the peaks and prolongs the analysis. Enter the retention time and the dead time.
Selectivity Factor
Computes the separation (selectivity) factor between two analytes, α = k₂/k₁, from the retention factors of the more retained peak k₂ and the less retained k₁; the result is dimensionless (by convention, α ≥ 1). The selectivity measures the column's ability to distinguish two compounds by their difference in affinity for the stationary phase. α = 1 means coelution (overlapping peaks, separation impossible); the higher α, the more separated the peaks. Unlike efficiency (N), the selectivity is governed by the system chemistry (stationary phase, mobile phase, temperature) and is the most powerful factor for improving resolution. Adjusting α is the first strategy in method development. Enter the retention factors of the two peaks.
Chromatographic Resolution
Computes the resolution between two chromatographic peaks, R_s = 2·(t_R2 − t_R1)/(W₁ + W₂), from the retention times t_R1 and t_R2 and the base widths W₁ and W₂ of the two peaks (same unit); the result is dimensionless. The resolution quantifies how well two neighbouring peaks are separated, combining the distance between them (numerator) with their width (denominator). R_s = 1.5 corresponds to baseline separation (baseline between the peaks, <0.3% overlap), the usual target; R_s = 1.0 gives ~98% separation. It is the final performance indicator of a separation. Insufficient resolution requires adjusting the selectivity, efficiency or retention. Enter the retention times and widths of the two peaks.
Resolution by the Fundamental Equation
Computes the resolution by the fundamental chromatography equation, R_s = (√N/4)·((α − 1)/α)·(k/(1 + k)), from the number of theoretical plates N, the separation factor α and the retention factor k (of the second peak); the result is dimensionless. This equation decomposes the resolution into its three controllable factors: efficiency (√N, the column term), selectivity (α, the chemical term) and retention (k, the mobile phase term). It shows that resolution grows with the square root of N (doubling resolution requires quadrupling the length), but is more sensitive to α. It is the method diagnosis and optimisation tool: it identifies which term to adjust to reach the target resolution most effectively. Enter N, α and k.
Peak Asymmetry Factor (Tailing)
Computes the asymmetry (tailing) factor of a chromatographic peak, A_s = b/a, from the widths of the rear half b and the front half a of the peak, measured at 10% of the height (same unit); the result is dimensionless. The asymmetry measures the peak's deviation from the ideal Gaussian shape: A_s = 1 is symmetric; A_s > 1 indicates a rear tail (tailing, common in silica with active sites); A_s < 1 indicates an elongated front (fronting, usually column overload). Pharmacopeias typically require A_s between 0.8 and 1.5 or 2.0. Asymmetric peaks harm integration, resolution and reproducibility. It is a mandatory system suitability criterion. Enter the rear and front widths at 10% of the height.
Retention Volume
Computes the retention volume of an analyte, V_R = t_R·F, from the retention time t_R (min) and the mobile phase flow F (mL/min); the result is in mL. The retention volume is the volume of mobile phase that passes through the column until the peak elutes — a more fundamental quantity than time, since it is independent of the flow (changing the flow changes t_R, but not V_R). It is useful for transferring methods between columns and instruments and for characterising retention in terms of pore and stationary phase volume. In size exclusion chromatography (SEC), the retention volume is the very basis of separation by molar mass. Enter the retention time and the flow.
Mobile Phase Linear Velocity
Computes the mobile phase linear velocity in a column, u = L/t₀, from the column length L (cm) and the dead time t₀ (min, the time of an unretained compound); the result is in cm/min. The linear velocity is how fast the mobile phase travels through the column — unlike the volumetric flow, it already accounts for the column diameter and porosity, being the correct variable to compare conditions between columns of different diameters. The optimal velocity (which minimises the HETP) is given by the minimum of the van Deemter curve; velocities above it trade efficiency for analysis speed. It is the method transfer and optimisation parameter. Enter the column length and the dead time.
Specific Growth Rate (Monod)
Computes the specific growth rate of microorganisms by the Monod equation, μ = μ_max·S/(K_s + S), from the maximum growth rate μ_max (1/h), the limiting substrate concentration S (g/L) and the saturation constant K_s (g/L); the result is in 1/h. The Monod equation is the fundamental model of microbial growth: the cell multiplication rate depends on the substrate (food) availability. At high substrate concentration (S >> K_s), growth saturates at μ_max; at low (S << K_s), it is proportional to S. K_s is the concentration that gives half the maximum rate. It is the basis for fermenter design and biological effluent treatment. Enter the maximum rate, the substrate concentration and the saturation constant.
Enzyme Turnover Number (k_cat)
Computes the turnover number (catalytic constant k_cat) of an enzyme, k_cat = V_max/[E]_total, from the maximum reaction velocity V_max (µM/s) and the total enzyme concentration [E]_total (µM); the result is in 1/s. The turnover number is how many substrate molecules each enzyme molecule converts to product per second when fully saturated — a direct measure of catalytic efficiency. Values vary enormously: from less than 1 to millions per second (catalase reaches ~40 million/s). Together with K_m, it defines the catalytic efficiency (k_cat/K_m). It is a central parameter in enzyme characterisation and enzymatic bioreactor design. Enter the maximum velocity and the total enzyme concentration.
Number of Cell Generations
Computes the number of generations (doublings) of a cell culture, n = ln(X/X₀)/ln(2), from the final biomass concentration X and the initial concentration X₀ (same unit); the result is the number of generations. Each generation is a doubling of the population; the number of generations is the base-2 logarithm of the ratio of final to initial concentration. For example, growing from X₀ to 8·X₀ corresponds to 3 generations (2³ = 8). Dividing the culture time by the number of generations gives the generation (doubling) time. It is a basic indicator of microbial growth, used in microbiology and bioprocesses to track cell multiplication. Enter the final and initial biomass concentrations.
Biomass Concentration (Exponential Growth)
Computes the biomass concentration in exponential growth, X = X₀·e^(μ·t), from the initial concentration X₀ (g/L), the specific growth rate μ (1/h) and the time t (h); the result is in g/L. In the exponential (logarithmic) phase of the culture, without substrate limitation, the population grows at a rate proportional to its own size, resulting in exponential growth. The concentration doubles every generation time (ln2/μ). It is the highest-productivity phase of a batch culture and the basis for sizing the fermentation time. Exponential growth ceases when the substrate is exhausted or inhibitory products accumulate. Enter the initial concentration, the growth rate and the time.
Cell Yield on Substrate (Y_xs)
Computes the cell yield coefficient on substrate, Y_xs = ΔX/ΔS, from the produced biomass mass ΔX (g) and the consumed substrate mass ΔS (g); the result is in g of cells per g of substrate. The cell yield measures how efficiently the microorganism converts the substrate (carbon and energy source) into new biomass. Typical values range from 0.1 to 0.5 g/g, depending on the organism and substrate — the rest of the substrate goes to maintenance energy, products and CO₂. It is a central parameter of fermentation mass balances, defining the raw material consumption and the bioprocess cost. Together with Y_ps (product/substrate), it characterises the metabolic performance. Enter the produced biomass and the consumed substrate.
Bioreactor Volumetric Productivity
Computes the volumetric productivity of a bioreactor, P_r = ΔP/t, from the formed product concentration ΔP (g/L) and the process time t (h); the result is in g/(L·h). The volumetric productivity measures how much product (biomass, metabolite, protein) the bioreactor generates per unit volume and time — the key productive efficiency indicator of a bioprocess. Maximising productivity (through strategies like fed-batch, high cell density or continuous culture) reduces the reactor size and the cost per unit of product. It is compared between processes and operating modes to choose the best strategy. Together with the titre (concentration) and the yield, it defines the economic viability. Enter the product concentration and the process time.
Chemostat Dilution Rate
Computes the dilution rate of a chemostat (continuous culture), D = Q/V, from the feed flow Q (L/h) and the reactor working volume V (L); the result is in 1/h. The dilution rate is the frequency at which the reactor volume is renewed by fresh feed. In a steady-state chemostat, the dilution rate equals the specific growth rate (D = μ): the cells grow exactly at the rate they are washed out, keeping the population constant. Increasing D accelerates growth, but above the maximum rate washout occurs (complete cell washing). It is the central control parameter of a continuous culture. Enter the feed flow and the reactor volume.
Chemostat Substrate (Steady State)
Computes the residual substrate concentration in a steady-state chemostat, S = K_s·D/(μ_max − D), from the saturation constant K_s (g/L), the dilution rate D (1/h) and the maximum growth rate μ_max (1/h); the result is in g/L. At steady state, the growth rate equals the dilution rate (μ = D); inverting the Monod equation gives the substrate concentration that establishes in the reactor. Unlike a batch, the substrate does not deplete: it stabilises at a value that keeps growth exactly at the imposed dilution rate. As D approaches μ_max, S rises rapidly (toward washout). It is the basis of continuous culture design. Enter the saturation constant, the dilution rate and the maximum rate.
Oxygen Transfer Rate (kLa)
Computes the oxygen transfer rate (OTR) in an aerated bioreactor, OTR = k_La·(C* − C), from the volumetric mass transfer coefficient k_La (1/h), the oxygen saturation concentration C* (mg/L) and the dissolved oxygen concentration in the medium C (mg/L); the result is in mg/(L·h). Oxygen transfer is often the limiting factor in aerobic fermentations, since O₂ is poorly soluble in water. The OTR is the product of the k_La coefficient (which depends on agitation and aeration) and the driving force (dissolved O₂ deficit). To sustain cell respiration, the OTR must equal or exceed the oxygen demand (OUR). Maximising k_La is the main bioreactor scale-up challenge. Enter the k_La, the saturation and the dissolved oxygen.
Bioreactor Oxygen Uptake Rate (OUR)
Computes the oxygen uptake (demand) rate of a bioreactor, OUR = q_O2·X, from the specific oxygen uptake rate q_O2 (mg O₂/(g·h)) and the biomass concentration X (g/L); the result is in mg/(L·h). The oxygen demand is the oxygen the microbial population consumes in respiration per unit volume and time. It grows with the cell density (X) and the specific metabolic activity (q_O2). For the culture not to become oxygen-limited, the aeration system's transfer rate (OTR) must be greater than or equal to the OUR. As the biomass grows, the OUR increases and may exceed the transfer capacity — hence the need to increase agitation and aeration. Enter the specific uptake rate and the biomass concentration.
Langmuir Isotherm
Computes the equilibrium adsorption capacity by the Langmuir isotherm, q_e = q_max·K_L·C_e/(1 + K_L·C_e), from the maximum adsorption capacity q_max (mg/g), the Langmuir constant K_L (L/mg) and the equilibrium concentration in solution C_e (mg/L); the result is in mg/g. The Langmuir model describes monolayer adsorption on a surface with a finite number of identical sites: as the concentration increases, the capacity saturates at the value q_max (when all sites are occupied). It is the most used model for adsorption on activated carbon, clays and resins. q_max measures the adsorbent's total capacity and K_L the affinity. Enter the maximum capacity, the Langmuir constant and the equilibrium concentration.
Freundlich Isotherm
Computes the equilibrium adsorption capacity by the Freundlich isotherm, q_e = K_F·C_e^(1/n), from the Freundlich constant K_F, the equilibrium concentration C_e (mg/L) and the intensity parameter n; the result is in mg/g. The Freundlich model is empirical and describes adsorption on heterogeneous surfaces (sites with different energies), without saturation — suitable for real systems with a wide concentration range. K_F indicates the adsorption capacity and 1/n the intensity: 1/n between 0 and 1 indicates favourable adsorption; the smaller 1/n, the stronger the adsorption and the more heterogeneous the surface. It is widely used for water treatment with activated carbon. Enter the K_F constant, the equilibrium concentration and the parameter n.
Langmuir Separation Factor (R_L)
Computes the dimensionless Langmuir separation factor, R_L = 1/(1 + K_L·C₀), from the Langmuir constant K_L (L/mg) and the initial concentration C₀ (mg/L); the result is dimensionless. The R_L parameter (also called the equilibrium separation factor) characterises the nature of adsorption according to the Langmuir model: R_L > 1 indicates unfavourable adsorption; R_L = 1, linear; 0 < R_L < 1, favourable; R_L = 0, irreversible. It is the fast way to assess whether the adsorbent is suitable for a given concentration — values between 0 and 1 (favourable) are the design objective. The smaller R_L, the more favourable the adsorption. Enter the Langmuir constant and the initial concentration.
Equilibrium Adsorption Capacity
Computes the equilibrium adsorption capacity by mass balance, q_e = (C₀ − C_e)·V/m, from the initial concentration C₀ (mg/L), the equilibrium concentration C_e (mg/L), the solution volume V (L) and the adsorbent mass m (g); the result is in mg/g. This is the experimental way to obtain q_e: the solute mass removed from the solution (concentration difference times volume) divided by the adsorbent mass gives how much solute each gram of adsorbent retained. It is the basic datum of each point of an isotherm test — repeating for several initial concentrations builds the equilibrium curve and fits Langmuir or Freundlich. Enter the initial and equilibrium concentrations, the volume and the mass.
Required Adsorbent Mass
Computes the adsorbent mass needed to treat a solution, m = (C₀ − C_e)·V/q_e, from the initial concentration C₀ (mg/L), the desired final concentration C_e (mg/L), the volume to treat V (L) and the adsorption capacity q_e (mg/g); the result is in g. It is the inverse of the adsorption mass balance: given the desired removal (from C₀ to C_e) and the adsorbent's capacity at the final concentration, it yields how much adsorbent is needed. This value sizes the activated carbon, resin or other adsorbent load of a batch process or a bed. High capacities (q_e) reduce the required mass and cost. It is the central calculation of adsorption sizing. Enter the initial and final concentrations, the volume and the adsorption capacity.
Bed Saturation Time
Computes the ideal saturation time of an adsorption bed, t_s = q_max·m/(C₀·Q), from the maximum adsorption capacity q_max (mg/g), the adsorbent mass in the bed m (g), the inlet concentration C₀ (mg/L) and the feed flow Q (L/h); the result is in hours. The saturation time is how long the bed takes to exhaust all its adsorption capacity (ideal model, no transfer zone), equal to the total solute mass the bed can retain divided by the solute arrival rate. It is the upper limit of operating time; in practice, the bed is changed earlier (at breakthrough time), with part of the capacity still unused. It defines the regeneration/change frequency and the operating cost. Enter the capacity, the mass, the inlet concentration and the flow.
Mass Transfer Zone Length
Computes the mass transfer zone (MTZ) length of an adsorption bed, MTZ = Z·(1 − t_b/t_s), from the total bed length Z (m), the breakthrough time t_b and the saturation time t_s (same unit); the result is in m. The MTZ is the bed region where the concentration varies from ~0 (already saturated, upstream) to C₀ (still fresh, downstream) — the adsorption 'front' that moves along the bed. The shorter the MTZ, the more efficient the bed (more capacity is used before breakthrough). A long MTZ indicates slow mass transfer (large particles, high flow) and wasted adsorbent. It is a key fixed-bed performance indicator. Enter the bed length and the breakthrough and saturation times.
Number of Bed Volumes (BV)
Computes the number of bed volumes treated in an adsorption or ion exchange column, BV = Q·t/V_bed, from the feed flow Q (L/h), the operating time t (h) and the bed volume V_bed (L); the result is dimensionless. The bed volumes express the volume of solution treated in multiples of the adsorbent or resin bed volume — a standardised way to compare capacity between columns of different sizes. The more BV a column treats before breakthrough, the greater its effective capacity. It is the usual unit of measure in ion exchange and adsorption (e.g. a resin treats 500 BV before regenerating). Enter the flow, the operating time and the bed volume.
Ion Exchange Capacity
Computes the operating capacity of an ion exchange resin, Cap = (C₀ − C_e)·V/V_resin, from the inlet ion concentration C₀ (mg/L), the outlet C_e (mg/L), the treated solution volume V (L) and the resin volume V_resin (L); the result is in mg per litre of resin. The exchange capacity is the amount of ions each litre of resin removes until exhaustion (breakthrough), by mass balance. It is the resin's central property, defining how much water volume it treats per cycle before needing regeneration. Strong cation exchange resins have typical capacities around 1.8–2.0 eq/L. The operating capacity is lower than the total due to kinetic limitations. Enter the inlet and outlet concentrations, the treated volume and the resin volume.
Bed Utilization Fraction
Computes the fraction of the bed capacity used until breakthrough, f = t_b/t_s·100, from the breakthrough time t_b and the saturation time t_s (same unit); the result is in %. The utilized fraction measures how much of the bed's total capacity was effectively used when breakthrough occurred — the complement of the waste from the mass transfer zone. Efficient beds (short transfer zone) have a utilized fraction near 100%; beds with slow mass transfer waste part of the capacity. This indicator guides the design of the bed height and flow to maximise adsorbent utilisation. It is the fixed-bed efficiency metric. Enter the breakthrough and saturation times.
Reverse Osmosis Recovery
Computes the recovery (conversion) of a reverse osmosis system, r = Q_permeate/Q_feed·100, from the permeate flow Q_permeate and the feed flow Q_feed (same unit); the result is in %. The recovery is the fraction of feed water that passes through the membrane as permeate (treated water), while the rest leaves as concentrate (reject). High recoveries save feed water but concentrate the salts more in the reject, increasing the scaling risk and the osmotic pressure. Industrial systems typically operate between 40% and 85% depending on salinity and pretreatment. It is the central operational parameter of RO design. Enter the permeate and feed flows.
Membrane Salt Rejection
Computes the salt rejection of a membrane, R = (1 − C_permeate/C_feed)·100, from the salt concentration in the permeate C_permeate and in the feed C_feed (same unit, e.g. mg/L); the result is in %. The rejection measures the membrane's effectiveness in blocking dissolved salts: a 99% rejection means only 1% of the salts pass to the permeate. Modern reverse osmosis membranes achieve rejections of 99.0% to 99.8% for NaCl. The rejection drops over the membrane's life (degradation, fouling) and with increasing recovery. It is the key indicator of permeate quality and membrane health. Enter the salt concentrations in the permeate and the feed.
Membrane Salt Passage
Computes the salt passage of a membrane, SP = C_permeate/C_feed·100, from the salt concentration in the permeate C_permeate and in the feed C_feed (same unit); the result is in %. The salt passage is the complement of the rejection (SP = 100 − R): the fraction of feed salts that crosses the membrane and contaminates the permeate. Unlike the rejection (which tends to 100% and masks variations), the salt passage is more sensitive for monitoring membrane degradation — an increase from 1% to 2% in passage doubles the permeate salinity. It is the preferred metric in the operational monitoring of RO plants. Enter the salt concentrations in the permeate and the feed.
Membrane Permeate Flux
Computes the permeate flux of a reverse osmosis membrane, J_w = A·(ΔP − Δπ), from the membrane permeability A (L/m²·h·bar), the applied pressure ΔP (bar) and the osmotic pressure difference Δπ (bar); the result is in L/m²·h (LMH). The flux is the water flow crossing the membrane per unit area, proportional to the available net pressure (applied pressure minus the osmotic pressure opposing the water passage). Typical fluxes range from 10 to 25 LMH for seawater and higher for brackish water. Too high fluxes accelerate fouling and polarisation. It is the parameter that, together with the design flow, defines the required membrane area. Enter the permeability, the applied pressure and the osmotic pressure.
Membrane Concentration Factor
Computes the concentration factor of a reverse osmosis system, CF = 1/(1 − r), from the recovery r (decimal fraction); the result is dimensionless. Since the salts are retained on the concentrate side while water is removed as permeate, the salt concentration in the reject increases relative to the feed by this factor. A 75% recovery (r = 0.75) gives CF = 4 — the concentrate becomes four times saltier than the feed. The concentration factor governs the scaling risk and the solubility limit of sparingly soluble salts (CaCO₃, CaSO₄, silica). It is the basis for calculating the antiscalant dosage and the recovery limit. Enter the recovery.
Net Driving Pressure (NDP)
Computes the net driving pressure (NDP) of a membrane, NDP = ΔP − Δπ − P_permeate, from the applied feed pressure ΔP (bar), the osmotic pressure difference Δπ (bar) and the permeate back pressure P_permeate (bar); the result is in bar. The net pressure is the real driving force pushing water through the membrane, discounting from the applied pressure the osmotic pressure (which opposes) and the back pressure on the permeate side. It is the NDP, not the applied pressure, that determines the permeate flux. Keeping the NDP constant (compensating for the rising osmotic pressure along the elements) is the goal of system control. Negative NDP means there is no permeation. Enter the applied, osmotic and permeate pressures.
Required Membrane Area
Computes the required membrane area of a reverse osmosis system, A_m = Q_permeate/J_w, from the desired permeate flow Q_permeate (L/h) and the design flux J_w (L/m²·h, LMH); the result is in m². Dividing the product flow by the permeate flux per unit area gives the total membrane area, which defines how many elements (modules) and pressure vessels the system needs. Conservative design fluxes (more area) reduce fouling and prolong membrane life, at the cost of more capital. It is the central sizing step of an RO plant, together with the recovery. Enter the permeate flow and the design flux.
Membrane Salt Flux
Computes the salt flux through a membrane, J_s = B·(C_feed − C_permeate), from the salt permeability coefficient B (L/m²·h), the feed concentration C_feed and the permeate concentration C_permeate (mg/L); the result is in mg/m²·h. Unlike water (pushed by pressure), salt crosses the membrane by diffusion, proportional to the concentration difference and the coefficient B (a membrane property). So the salt passage is independent of pressure: raising the pressure increases the water flux but not the salt flux, improving rejection. A low B characterises more selective membranes. The salt flux determines the permeate quality and grows with fouling. Enter the coefficient B and the concentrations.
Concentration Polarization
Computes the concentration polarization factor of a membrane, β = e^(J_w/k), from the permeate flux J_w (m/s) and the mass transfer coefficient k (m/s); the result is dimensionless. As water crosses the membrane, the rejected salts accumulate near the surface, forming a layer more concentrated than the bulk solution — the concentration polarization. The factor β is the ratio of the wall concentration to the bulk concentration; the higher the flux (more water passing) and the lower the turbulence (low k), the greater the polarization. High β raises the local osmotic pressure, reduces the flux, worsens the rejection and accelerates fouling. Controlling it (with adequate crossflow velocity) is essential. Enter the flux and the mass transfer coefficient.
Reverse Osmosis Specific Energy
Computes the specific energy consumption of the high-pressure pump of a reverse osmosis system, SEC = ΔP·0.02778/(r·η), from the feed pressure ΔP (bar), the recovery r (decimal) and the pump efficiency η (decimal); the result is in kWh/m³ of permeate. The energy to pressurise the feed is shared only by the produced permeate (fraction r of the feed), so low recoveries make each treated m³ more expensive. The constant 0.02778 converts bar and m³ into kWh. Seawater desalination typically consumes 3 to 6 kWh/m³ (less with concentrate energy recovery); brackish water, less than 1 kWh/m³. It is the main operating cost of RO. Enter the pressure, the recovery and the pump efficiency.
Absorption Factor (Kremser)
Computes the absorption factor of an absorption column, A = L/(m·V), from the liquid molar flow L (mol/h), the equilibrium constant m (= y/x at equilibrium) and the gas molar flow V (mol/h); the result is dimensionless. The absorption factor is the ratio of the liquid's capacity to retain the solute to the solute's tendency to stay in the gas. It is the central parameter of the Kremser equation, which sizes multi-stage absorbers. For efficient absorption, A should be greater than 1 (typically 1.2 to 2.0): excess liquid to capture the solute. Values below 1 limit the absorption even with infinite stages. Enter the liquid and gas flows and the equilibrium constant.
Stripping Factor
Computes the stripping factor of a column, S = m·V/L, from the equilibrium constant m, the gas molar flow V (mol/h) and the liquid molar flow L (mol/h); the result is dimensionless. The stripping factor is the inverse of the absorption factor (S = 1/A) and governs the opposite operation: removing a volatile solute from a liquid by means of a stripping gas. For efficient stripping, S should be greater than 1: excess gas to pull the solute from the liquid. Stripping is used to remove volatile compounds from wastewater, regenerate solvents and desorb gases. Enter the equilibrium constant and the gas and liquid flows.
Fraction Absorbed (Kremser Equation)
Computes the fraction of solute absorbed in an N-stage column by the Kremser equation, φ = (A^(N+1) − A)/(A^(N+1) − 1)·100, from the absorption factor A and the number of theoretical stages N; the result is in %. The Kremser equation gives the solute recovery of a multi-stage countercurrent absorber without solving stage by stage. The fraction absorbed grows with the number of stages and the absorption factor, but saturates: with A > 1, even infinite stages do not exceed 100%; with A < 1, there is a lower bound to the maximum absorbable. It is the fast way to assess an absorber's performance. Enter the absorption factor and the number of stages.
Extraction Factor (Liquid-Liquid)
Computes the extraction factor of a liquid-liquid extraction process, E = K·S/F, from the distribution coefficient K (= extract concentration/raffinate concentration at equilibrium), the solvent flow S and the feed flow F (same unit); the result is dimensionless. The extraction factor is the analogue of the absorption factor: it measures the solvent's capacity to remove the solute from the feed. For efficient extraction, E should be greater than 1 — more solvent or a higher distribution coefficient favours extraction. It is the central parameter of the Kremser equation applied to extraction and governs how many stages are needed for a given recovery. Enter the distribution coefficient and the solvent and feed flows.
Fraction Not Extracted (Kremser)
Computes the fraction of solute remaining in the raffinate after an N-stage countercurrent extraction, f = (E − 1)/(E^(N+1) − 1), from the extraction factor E and the number of theoretical stages N; the result is dimensionless (remaining fraction). This form of the Kremser equation gives how much solute escapes the extraction — the complement of the recovery. The fraction not extracted falls exponentially with the number of stages when E > 1: each additional stage removes a fraction of what remained. It is the calculation that defines how many stages are needed to reach a target residual content in the raffinate (important in purification and effluent treatment). Enter the extraction factor and the number of stages.
Extraction Recovery (Kremser)
Computes the solute recovery in an N-stage countercurrent extraction, R = (1 − (E − 1)/(E^(N+1) − 1))·100, from the extraction factor E and the number of theoretical stages N; the result is in %. The recovery is the complement of the fraction not extracted — the percentage of the feed solute that migrates to the extract. It grows with the number of stages and the extraction factor, saturating near 100% when E is high and N is large. It is the key performance indicator of an extraction cascade and the design objective (recover the maximum valuable product with the minimum solvent and stages). Enter the extraction factor and the number of stages.
Single-Stage Extraction Efficiency
Computes the fraction of solute extracted in a single equilibrium stage, η = E/(1 + E)·100, from the extraction factor E (= K·S/F); the result is in %. In a single equilibrium contact between the feed and the solvent, the solute partitions between the two phases according to the distribution coefficient; the fraction going to the extract is E/(1 + E). It is the maximum performance of a single-stage extraction (one mixing and settling). For high recoveries, a single stage rarely suffices — hence the need for countercurrent cascades (Kremser). This formula quickly assesses whether a single stage meets the target or multiple stages are needed. Enter the extraction factor.
Number of Stages (Kremser)
Computes the number of theoretical stages of a countercurrent extraction cascade by the Kremser equation, N = ln[(1 − 1/E)/(1 − p) + 1/E]/ln(E), from the extraction factor E and the desired recovery p (decimal fraction); the result is the number of stages. It is the form of the Kremser equation solved for the number of stages: given the target recovery and the available extraction factor, it yields how many countercurrent equilibrium stages are needed. The result, rounded up and divided by the stage efficiency, gives the number of real stages. Very high recoveries (p near 1) require many stages when E is only slightly above 1. It is the central sizing calculation for extractors and absorbers. Enter the extraction factor and the desired recovery.
Separation Factor (Selectivity)
Computes the separation factor (selectivity) of a liquid-liquid extraction, β = K_A/K_B, from the distribution coefficient of the desired solute K_A and the contaminant K_B; the result is dimensionless. The separation factor measures how selective the solvent is between two solutes: the higher β, the better the solvent extracts component A over B, producing a purer extract. It is the solvent-selection criterion in mixture separations (metal purification by SX, aromatics fractionation, rare-earth separation). β near 1 means the solvent does not distinguish the two solutes and the separation is unfeasible by simple extraction. High β allows few stages and high purity. Enter the distribution coefficients of the two solutes.
Extract Concentration (Equilibrium)
Computes the solute concentration in the extract at equilibrium, y = K·x, from the distribution coefficient K and the solute concentration in the raffinate x (in the same unit as the output); the result is in the same unit as x. In the distribution law (analogous to Henry's law for gases), at equilibrium the solute concentration in the extract phase is proportional to that in the raffinate phase, with the distribution coefficient K as the proportionality constant. It is the equilibrium relationship that defines the equilibrium line in the extraction diagram and enters all stage calculations. Higher K coefficients concentrate the solute more in the extract. For dilute systems, K is approximately constant; in concentrated systems, it varies with concentration. Enter the distribution coefficient and the raffinate concentration.
Evaporator Steam Economy
Computes the steam economy of an evaporator, SE = W_e/S, from the evaporated water rate W_e (kg/h or t/h) and the live steam consumption S (in the same unit); the result is dimensionless (kg of water per kg of steam). The steam economy measures how many kilograms of water the evaporator removes per kilogram of heating steam consumed. In a single-effect evaporator, SE is about 0.8 (less than 1, due to losses). In multiple-effect evaporators, the vapour generated in one effect heats the next, raising the economy to near the number of effects (a quadruple effect reaches ~3.2). It is the key energy efficiency indicator of evaporation. Enter the evaporated water and the live steam consumption.
Evaporator Live Steam
Computes the live (heating) steam consumption of an evaporator, S = W_e/SE, from the water to be evaporated W_e (t/h) and the steam economy SE (kg/kg); the result is in t/h. It is the inverse of the steam economy: given the water to evaporate and the expected economy (a function of the number of effects), it yields how much live steam the boiler must supply to the first effect. This value sizes the boiler and defines the energy cost of evaporation — the largest component of operating cost. Increasing the number of effects raises the economy and reduces the live steam, at the cost of more heat transfer area. Enter the water to evaporate and the steam economy.
Evaporator Heat Transfer Area
Computes the heat transfer area of an evaporator effect, A = Q·1000/(U·ΔT), from the heat load Q (kW), the overall heat transfer coefficient U (W/m²·K) and the effective temperature difference ΔT (K); the result is in m². The area is the size of the heating surface (tubes) needed to transfer the heat that evaporates the water, given the temperature difference between the steam and the boiling solution. The effective temperature difference already discounts the solution's boiling point elevation. In multiple effect, the total area is distributed among the effects, usually designed with equal areas. It is the parameter that defines the evaporator's capital cost. Enter the heat load, the overall coefficient and the temperature difference.
Evaporator Heat Load
Computes the evaporation heat load of an evaporator, Q = W_e·λ/3.6, from the evaporated water rate W_e (t/h) and the latent heat of vaporisation λ (kJ/kg) at the effect's boiling temperature; the result is in kW. The heat load is the heat needed to vaporise the solution's water. Unlike the dryer, here the latent heat is evaluated at the effect's operating temperature (and pressure) — in effects under vacuum, water boils at lower temperatures and the latent heat is higher. The constant 3.6 converts t/h and kJ/kg into kW. The heat load, together with the overall coefficient and ΔT, sizes each effect's heat transfer area. Enter the evaporated water and the latent heat.
Evaporator Final Concentration
Computes the final solute concentration at an evaporator's outlet, x₂ = F·x₁/(F − W_e), from the feed rate F (t/h), the feed solute concentration x₁ (%) and the evaporated water W_e (t/h); the result is in %. Since the solute does not evaporate (only water leaves), the solute mass is conserved: concentrating the same solute mass in a smaller stream (feed minus evaporated water) raises the concentration. This mass balance defines how much water must be evaporated to reach the product's target concentration (syrup, liquor, concentrate). It is the central calculation of evaporation design. Enter the feed rate, the inlet concentration and the evaporated water.
Specific Evaporative Capacity (Evaporator)
Computes the specific evaporative capacity of an evaporator, q = W_e·1000/A, from the evaporated water rate W_e (t/h) and the heat transfer area A (m²); the result is in kg of water per (m²·h). The evaporative capacity per unit area indicates how much water the evaporator removes per square metre of heating surface per hour — a performance indicator that allows comparing evaporators and estimating the area needed for a given evaporation. It depends on the overall coefficient, the temperature difference and the latent heat. Falling-film evaporators have high capacities; natural-circulation ones, lower. It is the metric used in design scale-up. Enter the evaporated water and the heat transfer area.
Crystallization Yield
Computes the mass of crystals obtained in a cooling crystallization, C = W·(c₁ − c₂)/100, from the solvent (water) mass W (kg), the initial solubility c₁ and the final solubility c₂ (both in g of solute per 100 g of solvent); the result is in kg of crystals (anhydrous solute). On cooling a saturated solution, the solubility drops and the excess solute crystallises. The crystal mass is the difference between what was dissolved at the hot temperature and what remains dissolved at the cold one, for the same solvent mass. It is the yield calculation of cooling crystallization (without significant evaporation). Solutes with strong solubility-temperature dependence give high yields. Enter the solvent mass and the initial and final solubilities.
Supersaturation Ratio
Computes the supersaturation ratio of a solution, S = c/c*, from the actual solute concentration c and the saturation concentration (equilibrium solubility) c* (in the same unit); the result is dimensionless. Supersaturation is the state in which the solution contains more dissolved solute than equilibrium allows (S > 1) — it is the driving force of all crystallization: without supersaturation there is neither nucleation nor crystal growth. But excess is dangerous: very high supersaturations trigger uncontrolled nucleation, generating many small crystals (bad for filtration). Fine control of supersaturation (metastable zone) governs the crystal size and quality. Enter the actual and the saturation concentrations.
Supersaturation Degree
Computes the degree (or driving force) of supersaturation of a solution, Δc = c − c*, from the actual solute concentration c and the saturation concentration c* (in the same unit); the result is the difference, in the same unit. The supersaturation degree is the absolute form of the crystallization driving force (in contrast to the ratio S = c/c*, which is relative). It is the excess concentration above the solubility that drives crystal nucleation and growth. The nucleation and growth kinetics are expressed as functions (usually powers) of this Δc. Keeping Δc within the metastable zone — supersaturated but without excessive spontaneous nucleation — is the secret to producing large, uniform crystals. Enter the actual and the saturation concentrations.
Crystallizer Mother Liquor Mass
Computes the mass of mother liquor (residual solution) at a crystallizer's outlet, ML = F − C − E, from the feed mass F (kg or t), the formed crystal mass C and the evaporated solvent mass E (in the same unit); the result is in the same unit. The mother liquor is the saturated solution remaining after the crystals are separated — it still contains dissolved solute (at the equilibrium solubility) and impurities. The mass balance closes: feed = crystals + mother liquor + evaporated solvent. The mother liquor is usually recycled to the crystallizer to recover the residual solute, but it accumulates impurities, requiring a purge. Quantifying it is essential in the mass balance and recovery. Enter the feed, the crystals and the evaporated solvent.
Cake Filtration Rate
Computes the filtrate flow through a filter cake (Darcy's law, neglecting the medium resistance), Q = ΔP·A²/(μ·α·w), from the pressure drop ΔP (Pa), the filtration area A (m²), the filtrate viscosity μ (Pa·s), the cake specific resistance α (m/kg) and the deposited dry cake mass w (kg); the result is in m³/s. As the cake grows, its resistance increases (proportional to the deposited mass and the specific resistance α), reducing the filtrate flow for the same pressure. This is the differential form of the filtration equation, the basis for sizing vacuum filters and presses. Compressible cakes have α that grows with pressure. Enter the pressure, area, viscosity, specific resistance and cake mass.
Filter Cake Thickness
Computes the filter cake thickness, L_c = w/(ρ_cake·A)·1000, from the dry cake mass w (kg), the dry cake bulk density ρ_cake (kg/m³) and the filtration area A (m²); the result is in mm. The cake thickness is the deposited solids volume (mass divided by bulk density) spread over the filtration area. It grows through the formation cycle and governs the flow resistance and the final moisture. In continuous rotary filters, the thickness is controlled by the submerged fraction and the rotation speed; very thin cakes are hard to discharge, very thick ones crack and let air through. It is a central operational parameter. Enter the cake mass, the bulk density and the area.
Filtrate Volume (Ruth Equation)
Computes the filtrate volume collected in constant-pressure filtration by the Ruth equation (neglecting the medium resistance), V = √(2·ΔP·A²·t/(μ·α·c)), from the pressure drop ΔP (Pa), the area A (m²), the filtration time t (s), the viscosity μ (Pa·s), the specific resistance α (m/kg) and the solids concentration in the suspension c (kg/m³); the result is in m³. Under constant pressure, the filtrate volume grows with the square root of time, since the cake thickens and resists ever more. This integrated equation predicts how much filtrate is obtained in a given cycle time, the basis for sizing filters. Enter the pressure, area, time, viscosity, specific resistance and concentration.
Cake Formation Time
Computes the filtration time needed to collect a given filtrate volume at constant pressure, t = μ·α·c·V²/(2·ΔP·A²), from the viscosity μ (Pa·s), the specific resistance α (m/kg), the solids concentration c (kg/m³), the filtrate volume V (m³), the pressure drop ΔP (Pa) and the area A (m²); the result is in seconds. It is the inverse of the Ruth equation: since the volume grows with the square root of time, the time grows with the square of the volume. This formation time defines the filter cycle and, in rotary filters, the rotation speed. High-specific-resistance cakes (fine, compressible) require long times or higher pressures. Enter the viscosity, specific resistance, concentration, volume, pressure and area.
Total Filtration Resistance
Computes the total flow resistance in a filtration, R = (α·w/A + R_m)/10¹⁰, from the cake specific resistance α (m/kg), the dry cake mass w (kg), the area A (m²) and the filter medium resistance R_m (1/m); the result is expressed in units of 10¹⁰ 1/m. The total resistance is the sum of two resistances in series: the cake resistance (which grows with the deposited mass) and the fixed filter medium resistance (cloth, screen). At the start of filtration, the medium dominates; as the cake grows, it takes over. Knowing the division between the two resistances guides the choice of medium and predicts when the cake governs the process. Enter the specific resistance, cake mass, area and medium resistance.
Filter Cake Moisture
Computes the moisture content of a filter cake, w = (m_wet − m_dry)/m_wet·100, from the wet cake mass m_wet (kg) and the dry cake mass after drying m_dry (kg); the result is in % (wet basis). The cake's residual moisture is the water remaining in the pores after filtration and air blowing/suction drying. It is a critical quality parameter: very wet cakes weigh more (transport cost), may not meet specification and complicate handling; drying them further requires more vacuum, air or time. In mineral and chemical concentrates, the cake moisture is contractually controlled. It is the final filter performance measure. Enter the wet and dry cake masses.
Relative Centrifugal Force (RCF / G-Force)
Computes the relative centrifugal force (RCF, or G-force) of a centrifuge, RCF = 0.001118·N²·r, from the speed N (rpm) and the radius r (m); the result is dimensionless (multiples of gravity g). The RCF expresses how many times the centrifugal acceleration exceeds gravity — it is the 'g-force' the particles undergo. The higher the RCF, the faster the sedimentation of fine particles that would not settle by gravity in useful time. Laboratory centrifuges reach thousands of g; ultracentrifuges, hundreds of thousands. The constant 0.001118 comes from (2π/60)²/9.81, with r in metres. It is the parameter that characterises the separation intensity. Enter the speed and the radius.
RPM for a Desired RCF
Computes the speed needed to reach a desired relative centrifugal force, N = √(RCF/(0.001118·r)), from the target RCF (in g) and the radius r (m); the result is in rpm. It is the inverse of the RCF calculation: laboratory protocols and industrial processes specify the separation in g-force (RCF), which is independent of the equipment, not in rpm (which depends on the rotor radius). This formula converts the required RCF into the speed each specific centrifuge must reach, given its rotor radius. It is essential for reproducing a procedure in centrifuges of different radii. Enter the desired RCF and the rotor radius.
Centrifugal Settling Velocity
Computes the settling velocity of a particle in a centrifugal field, v_c = v_t·RCF, from the gravity terminal settling velocity v_t (m/s) and the relative centrifugal force RCF (in g); the result is in m/s. In the centrifugal field, the effective acceleration is RCF times gravity, so the settling velocity (in the Stokes regime, proportional to the acceleration) is multiplied by the same factor. That is why centrifugation separates in seconds particles that would take hours or days to settle by gravity. This amplified velocity defines a decanter centrifuge's capacity and the required residence time. Enter the gravity terminal velocity and the RCF.
Centrifuge Capacity (Sigma Theory)
Computes the volumetric capacity of a centrifuge by the sigma theory, Q = 2·v_t·Σ, from the gravity terminal settling velocity v_t (m/s) and the sigma factor Σ (m², the centrifuge's equivalent settling area); the result is in m³/s. The sigma theory decouples the particle from the machine: Σ is a geometric property of the centrifuge (equivalent to the area of a gravity settler that would make the same separation), and v_t is a property of the suspension. The maximum flow that fully clarifies a particle of velocity v_t is 2·v_t·Σ. This allows scale-up between centrifuges of different sizes by comparing their Σ. It is the basis for centrifuge sizing. Enter the terminal velocity and the sigma factor.
Rotary Dryer Retention Time
Computes the material retention time in a rotary dryer by the Friedman-Marshall equation, θ = 0.23·L/(S·N^0.9·D), from the drum length L (m), the slope S (m/m), the speed N (rpm) and the diameter D (m); the result is in minutes. The retention time is how long the material stays inside the drum being tumbled by the flights and dried by the hot gases. It is controlled by the dryer's geometry and operation: longer drums and smaller slopes retain the material longer; higher speeds and diameters expel it faster. The time must be sufficient to evaporate the desired moisture. It is the central sizing parameter of the rotary dryer. Enter the length, the slope, the speed and the diameter.
Rotary Dryer Holdup
Computes the holdup (mass retention) of a rotary dryer, H = θ·F/60, from the retention time θ (min) and the feed rate F (t/h); the result is in tonnes. The holdup is the mass of material that is, at any instant, inside the drum — equal to the product of the residence time and the flow. It is the dryer's instantaneous 'load'. The holdup determines the material surface area exposed to the gases and therefore the heat and mass transfer capacity. Typical holdups correspond to 10–15% of the drum volume; very high values overload the drive and harm the material cascade. Enter the retention time and the feed rate.
Dryer Evaporation Rate
Computes the water evaporation rate in a dryer, W_e = F·(w₁ − w₂)/(100 − w₂), from the wet feed rate F (t/h), the feed moisture w₁ (%, wet basis) and the product moisture w₂ (%, wet basis); the result is in t/h of water. The water to be removed is the moisture difference between the feed and the product, corrected by the wet basis (the denominator converts to the conserved dry-solids basis). It is the fundamental datum for sizing the dryer's heat load and fuel consumption. The greater the required moisture reduction, the greater the evaporation and energy cost. Enter the feed rate and the inlet and outlet moistures.
Dryer Dry Product
Computes the dry product rate at a dryer's outlet, P = F·(100 − w₁)/(100 − w₂), from the wet feed rate F (t/h), the feed moisture w₁ (%, wet basis) and the product moisture w₂ (%, wet basis); the result is in t/h. Since the dry-solids mass is conserved through drying (only water leaves), the product rate is the feed rate adjusted by the ratio of dry-solids fractions. The dry product plus the evaporated water closes the dryer's mass balance. This value defines the plant's production capacity and the flow to the downstream equipment (cooling, bagging, storage). Enter the feed rate and the inlet and outlet moistures.
Dryer Heat Load
Computes the evaporation heat load of a dryer, Q = W_e·627.78, from the water evaporation rate W_e (t/h); the result is in kW. The largest share of the drying heat is the latent heat to evaporate the water (about 2,260 kJ/kg at 100 °C, which with the t/h to kW conversion gives the factor 627.78). This is the floor of the thermal demand — the actual heat is higher, since it includes the sensible heating of the material, water and air, plus losses. The heat load sizes the burner, the furnace and the fuel consumption. Reducing the inlet moisture (pre-dewatering) is the most effective way to lower this cost. Enter the evaporation rate.
Dryer Fuel Consumption
Computes the fuel consumption of a dryer, m_f = Q_supplied·3600/(LHV·1000), from the supplied heat Q_supplied (kW) and the fuel's lower heating value LHV (MJ/kg); the result is in kg/h. Dividing the dryer's thermal demand by the fuel's heating value gives the fuel flow needed to supply the burner. The supplied heat is greater than the pure evaporation heat, since it embeds the furnace efficiency and losses. Fuel consumption is the main operating cost of a thermal dryer and a key efficiency indicator. Higher-LHV fuels (natural gas, oil) reduce the mass flow. Enter the supplied heat and the heating value.
Dryer Thermal Efficiency
Computes the thermal efficiency of a dryer, η = Q_evaporation/Q_supplied·100, from the useful evaporation heat Q_evaporation (kW) and the total heat supplied by the fuel Q_supplied (kW); the result is in %. The thermal efficiency compares the heat that actually evaporates the water with the total generated in the burner. The losses (hot, humid exhaust gases, casing radiation, sensible heating of the product) consume the rest. Direct rotary dryers have a typical efficiency of 50% to 65%; recovering heat from the outlet gases or reducing the exhaust temperature raises it. It is the key energy performance indicator, governing the fuel cost. Enter the evaporation heat and the supplied heat.
Dryer Gas Mass Velocity
Computes the gas mass velocity in a rotary dryer, G = ṁ_gas/A, from the gas mass flow ṁ_gas (kg/h) and the drum's cross-sectional area A (m²); the result is in kg/(m²·h). The gas mass velocity governs the carryover of fine particles (dust) and the convective heat transfer. There is an upper limit: above a critical velocity, the gas carries the dry material out of the drum (excessive carryover), requiring larger cyclones and filters. So the drum area is sized to keep G below the limit (typically 2,000 to 5,000 kg/(m²·h) depending on particle size). It is a design criterion for the dryer diameter. Enter the gas flow and the section area.
Rotary Dryer Fill Degree
Computes the fill degree of a rotary dryer, Φ = (H/ρ)/V·100, from the holdup H (t), the material's bulk density ρ (t/m³) and the drum's internal volume V (m³); the result is in %. The fill degree is the fraction of the drum volume occupied by the material at any instant. Converting the mass holdup into volume (dividing by the bulk density) and comparing with the drum volume gives this fraction. Typical values are between 8% and 15%: too little filling underutilises the dryer; excess harms the material cascade off the flights and the contact with the gases, besides overloading the drive. It is an important operational indicator. Enter the holdup, the bulk density and the drum volume.
Specific Evaporative Capacity
Computes the specific evaporative capacity of a dryer, U_v = W_e·1000/V, from the evaporation rate W_e (t/h) and the drum's internal volume V (m³); the result is in kg of water per (m³·h). The volumetric evaporative capacity indicates how much water the dryer removes per unit drum volume per hour — a performance indicator that allows comparing dryers of different sizes and estimating the volume needed for a given evaporation. Direct rotary dryers have typical capacities of 30 to 80 kg/(m³·h), depending on the gas temperature and the material. High values indicate intensive use of the volume; it is the parameter used in design scale-up. Enter the evaporation rate and the drum volume.
Gravity Concentration Criterion
Computes the concentration criterion (CC) that predicts the feasibility of gravity separation, CC = (ρ_heavy − ρ_fluid)/(ρ_light − ρ_fluid), from the heavy mineral density ρ_heavy (kg/m³), the light mineral ρ_light (kg/m³) and the fluid ρ_fluid (kg/m³); the result is dimensionless. Taggart's criterion indicates how easy it is to separate two minerals by density difference in a fluid medium: CC above 2.5 allows efficient separation even of fine particles; between 1.75 and 2.5 it is viable only for coarser particles; below 1.25 gravity separation is impractical. Water is the usual fluid (1000 kg/m³); dense media raise ρ_fluid and improve the criterion. It is the first assessment of an ore for gravity concentration. Enter the three densities.
Free Settling Ratio
Computes the free settling ratio between two minerals, SR = ((ρ_heavy − ρ_fluid)/(ρ_light − ρ_fluid))^n, from the heavy ρ_heavy, light ρ_light and fluid ρ_fluid densities (kg/m³) and the regime exponent n (0.5 for the Stokes laminar regime, 1 for the Newton turbulent regime); the result is dimensionless. The settling ratio gives the diameter ratio of a light particle and a heavy one that settle at the same velocity. The larger the ratio, the coarser the light particle that follows the fine heavy one — defining the size range in which gravity separation is selective. It is fundamental for sizing the prior classification (desliming) before concentration. Enter the densities and the regime exponent.
Hindered Settling Velocity (Richardson-Zaki)
Computes the hindered settling velocity of a suspension by the Richardson-Zaki equation, v_h = v_t·ε^n, from the terminal velocity of an isolated particle v_t (m/s), the suspension porosity ε (liquid volume fraction, decimal) and the Richardson-Zaki index n; the result is in m/s. In concentrated suspensions, particles interfere with each other and settle slower than in isolation — the porosity ε (lower in dense suspensions) reduces the velocity by the power n (which ranges from ~2.4 in the turbulent regime to ~4.8 in the laminar one). It is the basis for designing thickeners, jigs, elutriators and fluidized beds. The more concentrated the slurry, the slower the settling. Enter the terminal velocity, the porosity and the index.
Richardson-Zaki Porosity
Computes the porosity of a suspension (or fluidized bed) by the inverted Richardson-Zaki equation, ε = (v_h/v_t)^(1/n), from the hindered settling velocity (or fluid velocity) v_h (m/s), the terminal velocity v_t (m/s) and the Richardson-Zaki index n; the result is dimensionless (liquid volume fraction). It is the inverse form: by measuring the fluidization velocity or the interface settling rate, the suspension porosity is obtained — and from it the solids concentration. In fluidized beds, this relationship predicts bed expansion with the fluid velocity. It is used to monitor concentration in jigs, elutriators and hydraulic classifiers. Enter the hindered and terminal velocities and the index.
Dense Medium Density (DMS)
Computes the density of a dense medium (magnetite or ferrosilicon suspension in water), ρ_medium = (1 − C_v)·ρ_fluid + C_v·ρ_solid, from the solid volume fraction C_v (decimal), the fluid density ρ_fluid (kg/m³) and the suspended solid density ρ_solid (kg/m³); the result is in kg/m³. In dense medium separation (DMS), a stable suspension of fine dense particles creates a 'fluid' of adjustable density between that of the light and the heavy mineral: what sinks and what floats separate by the cut density. The medium density is the weighted sum of the fluid and solid densities by the proportion of each. Controlling it sets the separation point. Enter the solid fraction and the two densities.
Dense Medium Solid Fraction
Computes the solid volume fraction needed in a dense medium, C_v = (ρ_medium − ρ_fluid)/(ρ_solid − ρ_fluid), from the desired medium density ρ_medium (kg/m³), the fluid ρ_fluid (kg/m³) and the suspended solid ρ_solid (kg/m³); the result is the volume fraction (decimal). It is the inverse of the medium density calculation: given the cut density needed for the separation, it yields how much magnetite (or ferrosilicon) must be suspended per volume of water. Typical volume fractions go up to about 0.35; above that the suspension viscosity grows too much and harms the separation. This value defines the medium dosage and the recovery circuit by magnetic separators. Enter the medium, fluid and solid densities.
Écart Probable (Ep) of Separation
Computes the écart probable (Ep) of a density separation, Ep = (ρ₇₅ − ρ₂₅)/2, from the density at which 75% of the material reports to sinks ρ₇₅ and the density at which 25% reports ρ₂₅ (in relative density); the result is half the interval, in the same unit. The écart probable measures the sharpness (precision) of density separation in jigs, dense medium and dense-medium cyclones: it is half the difference between the 75% and 25% partition densities on the Tromp curve. The smaller the Ep, the more perfect the separation (steeper curve). Low values (0.02–0.05) indicate efficient equipment; high ones indicate hard-to-separate material or poor equipment. It is the standard performance indicator. Enter the ρ₇₅ and ρ₂₅ densities.
Partition Imperfection (I)
Computes the imperfection (I) of a density separation, I = Ep/(ρ₅₀ − ρ_fluid), from the écart probable Ep, the cut density ρ₅₀ (50% partition density) and the fluid density ρ_fluid (relative density); the result is dimensionless. The imperfection normalises the écart probable by the effective separation density (ρ₅₀ minus the fluid's, usually water = 1), allowing comparison of the sharpness of separations made at different cut densities. It is fairer than the Ep alone, since separating at 1.5 or 3.0 density has distinct difficulties. Typical values of good dense-medium separators are below 0.03. It is the comparative performance indicator preferred in the literature. Enter the écart probable, the cut density and the fluid density.
Medium-to-Ore Ratio (DMS)
Computes the medium-to-ore ratio of a dense medium circuit, MOR = Q_medium/Q_ore, from the circulating dense medium flow Q_medium (t/h or m³/h) and the fed ore flow Q_ore (in the same unit); the result is dimensionless. The medium-to-ore ratio indicates how much dense medium (suspended magnetite/ferrosilicon) circulates per unit of treated ore. Typical values range from 3:1 to 6:1: enough medium is needed to keep the density stable and transport the floats and sinks, but excess increases pumping, wear and medium losses. It defines the size of the pumps, drainage screens and the medium recovery circuit. It is a central design parameter of the DMS circuit. Enter the medium and ore flows.
Fluidized Bed Expansion Ratio
Computes the expansion ratio of a fluidized bed, H/H₀ = (1 − ε₀)/(1 − ε), from the fixed bed's initial porosity ε₀ (decimal) and the expanded bed's porosity ε (decimal); the result is the ratio of expanded to initial height (dimensionless). When an upward fluid fluidizes a particle bed, it expands: the height increases while the solids mass is conserved, so the solids fraction (1 − ε) drops. The expansion ratio follows from this solids balance. It is a design parameter of fluidized beds used in hydraulic classification, washing, drying and reactors; it defines the vessel height and the operating range. Higher fluid velocity raises ε and expands the bed more. Enter the initial and expanded porosities.
Superficial Gas Velocity (Jg)
Computes the superficial gas velocity in a flotation cell or column, Jg = Q_gas/A·100, from the volumetric air flow Q_gas (m³/s) and the cross-sectional area A (m²); the result is in cm/s. Jg is the most important hydrodynamic parameter of flotation: it represents the air flow per unit area and governs the amount of bubbles available to collect the hydrophobic particles. Typical values are between 1 and 2 cm/s; above that the froth becomes unstable and entrainment occurs, below it the recovery drops from lack of bubbles. Together with the bubble size, it defines the bubble surface area flux. Enter the air flow and the section area.
Flotation Residence Time
Computes the mean residence time in a flotation cell or bank, τ = V/Q, from the cell's effective volume V (m³) and the slurry volumetric flow Q (m³/min); the result is in minutes. The residence time is how long the slurry stays, on average, in the cell so the particles have a chance to collide with bubbles and be collected. Short times fail to collect the slow-kinetics particles; long times increase the required volume and cost. The total flotation time (sum of banks) is determined in bench tests and scaled by a factor. It is a central sizing parameter. Enter the cell volume and the slurry flow.
Flotation Kinetic Recovery
Computes the recovery of a flotation by the first-order kinetic model, R = (1 − e^(−k·t))·100, from the flotation rate constant k (1/min) and the flotation time t (min); the result is in %. Most flotation systems follow first-order kinetics: the collection rate is proportional to the fraction of mineral not yet floated. The recovery grows quickly at first and saturates asymptotically to a maximum (equilibrium recovery). Fast-kinetics minerals (high k) float soon; slow-kinetics ones require more time. This model is the basis of flotation circuit sizing and simulation. Enter the rate constant and the time.
Flotation Rate Constant
Computes the flotation rate constant, k = −ln(1 − R/100)/t, from the recovery R (%) obtained at a flotation time t (min); the result is in 1/min. Inverting the first-order model from test data (recovery measured at a time) gives the rate constant k — a measure of how quickly the mineral floats. The constant k depends on the particle size and liberation, the hydrophobicity (collector), the bubble size and the cell hydrodynamics. Comparing k between conditions allows optimising the reagent dosage and the aeration regime. It is the parameter that characterises a mineral's floatability. Enter the recovery and the time.
Bubble Surface Area Flux (Sb)
Computes the bubble surface area flux in flotation, Sb = 60·Jg/d₃₂, from the superficial gas velocity Jg (cm/s) and the Sauter mean bubble diameter d₃₂ (mm); the result is in 1/s. Sb represents the bubble surface area generated per unit cell area per second — the 'supply' of surface available to capture particles. It is a hydrodynamic parameter combining the air flow (Jg) with the bubble fineness (smaller d₃₂ generates more surface). The flotation rate correlates linearly with Sb. Typical values are between 30 and 60 1/s. Optimising Sb (more air, smaller bubbles) maximises recovery. Enter the Jg and the Sauter diameter.
Bubble Rise Velocity
Computes the bubble rise velocity in flotation, U_b = Jg/ε_g, from the superficial gas velocity Jg (cm/s) and the gas hold-up ε_g (gas volume fraction, decimal); the result is in cm/s. The rise velocity is the real speed at which the bubble swarm ascends through the slurry, equal to the superficial air flow divided by the volume fraction the air occupies. Bubbles rising too fast have little contact time (less collection); slow bubbles (loaded with particles) increase the hold-up. This relationship links the three central hydrodynamic variables of flotation (Jg, ε_g, U_b). It is used to characterise the bubble regime. Enter the Jg and the gas hold-up.
Flotation Column Bias
Computes the bias of a flotation column, J_b = J_tails − J_feed, from the superficial velocity of water leaving at the bottom J_tails (cm/s) and that entering in the feed J_feed (cm/s); the result is in cm/s. The bias is the net downward water flux through the froth — the difference between the water leaving in the tails and that entering. A positive bias means more water descends than rises, washing the froth and dragging back the mechanically entrained gangue particles, which raises the concentrate grade. It is the control variable that ensures the column's selectivity (wash water). Enter the superficial velocities of the tails and the feed.
Flotation Enrichment Ratio
Computes the enrichment ratio of a flotation, ER = concentrate_grade/feed_grade, from the metal grade in the concentrate (%) and the grade in the feed (%); the result is dimensionless. The enrichment ratio measures how many times the flotation raised the valuable mineral's grade between the feed and the concentrate. It is a direct indicator of the process's selectivity: high ratios mean a concentrate much richer than the raw ore. There is a classic trade-off between enrichment and recovery — pushing the concentrate grade up usually lowers the recovery. Together with the recovery, it defines the metallurgical performance. Enter the concentrate and feed grades.
Recovery by Two-Product Formula
Computes the metallurgical recovery by the two-product formula, R = c·(f − t)/(f·(c − t))·100, from the concentrate grade c (%), the feed f (%) and the tailings t (%); the result is in %. This classic formula obtains the valuable metal's recovery knowing only the grades of the three streams (concentrate, feed and tailings), without weighing the masses — which is difficult with continuous slurry flows. It derives from the total mass and metal balances. It is the standard way to compute a concentration circuit's performance from routine chemical assays. Enter the concentrate, feed and tailings grades.
Flotation Concentration Ratio
Computes the concentration ratio of a flotation, CR = (c − t)/(f − t), from the concentrate grade c (%), the feed f (%) and the tailings t (%); the result is dimensionless. The concentration ratio indicates how many tonnes of raw ore are needed to produce one tonne of concentrate — the higher it is, the more the ore was concentrated. Computed only from the grades of the three streams (by the two-product formula), it is the reciprocal of the mass yield (CR = 1/Y). Poor ores have a high concentration ratio (much rock per unit of concentrate). It is used in the mass balance and economic evaluation of the beneficiation. Enter the concentrate, feed and tailings grades.
Hydrocyclone Split Ratio
Computes the liquid split ratio of a hydrocyclone, S = Q_underflow/Q_overflow, from the underflow volumetric flow Q_underflow (m³/h) and the overflow Q_overflow (m³/h); the result is dimensionless. The split indicates how the fed slurry divides between the bottom outlet (underflow, coarse and more water) and the top one (overflow, fines). It is controlled by the apex (bottom outlet) diameter: enlarging it raises the split and the water going to the coarse fraction. The split directly affects the underflow density and the classification sharpness. It is one of the operational parameters adjusted to optimise separation. Enter the underflow and overflow flows.
Water Recovery to Underflow (Rf)
Computes the water recovery to underflow of a hydrocyclone, Rf = W_underflow/W_feed·100, from the water flow in the underflow W_underflow (m³/h) and the water flow in the feed W_feed (m³/h); the result is in %. The Rf (water bypass) represents the fraction of feed water dragged directly to the underflow without classification. This short-circuit causes fine particles to follow the coarse fraction in the same proportion as the water, harming separation sharpness. Rf is the key to correcting the partition curve (reduced efficiency), separating the real classification effect from the hydraulic bypass. Enter the underflow and feed water.
Hydrocyclone Total Efficiency
Computes the total efficiency (solids recovery to underflow) of a hydrocyclone, Et = M_underflow/M_feed·100, from the solids mass flow in the underflow M_underflow (t/h) and in the feed M_feed (t/h); the result is in %. The total efficiency is the fraction of fed solids mass reporting to the underflow, regardless of size. It mixes the true classification effect with the water bypass: even fines that should go to the overflow are partly dragged to the underflow by the water. So the total efficiency alone does not describe the separation quality — it must be corrected by Rf. Enter the solids mass in the underflow and in the feed.
Hydrocyclone Reduced Efficiency
Computes the reduced (corrected) efficiency of a hydrocyclone, Ec = (Et − Rf)/(100 − Rf)·100, from the total efficiency Et (%) and the water recovery to underflow Rf (%); the result is in %. The reduced efficiency removes the hydraulic bypass (water carry) effect from the total efficiency, revealing the true classification by size. It is the basis of the corrected partition curve, going from 0% (pure fines, all to overflow) to 100% (pure coarse, all to underflow), passing through 50% at the corrected cut size d₅₀c. Comparing reduced efficiencies allows a fair assessment of the classification sharpness of different cyclones. Enter the total efficiency and the water recovery.
Hydrocyclone Battery Count
Computes the number of hydrocyclones in a battery, n = Q_total/Q_unit, from the total slurry flow to be classified Q_total (m³/h) and the flow each individual cyclone processes Q_unit (m³/h); the result is the number of cyclones. Since each hydrocyclone has limited capacity (a function of diameter and pressure), large flows are handled by batteries (clusters) of many small cyclones in parallel. The result, rounded up and with spare units, defines the number of cyclones in the cluster. Smaller cyclones give a finer cut but require more units for the same flow. Enter the total flow and the unit flow.
Zone Settling Rate
Computes the zone (interface) settling velocity of a slurry, v_s = (h₀ − h)/t, from the initial interface height h₀ (m), the interface height at time t h (m) and the elapsed time t (h); the result is in m/h. In the cylinder (batch) test, the interface between the clarified liquid and the settling slurry descends at constant velocity in the free-settling zone; this velocity is the slope of the height-versus-time curve. It is the fundamental experimental datum for sizing thickeners and clarifiers by the Coe-Clevenger and Talmage-Fitch methods. The velocity depends on the slurry's concentration and flocculation. Enter the initial and final interface heights and the time.
Thickener Unit Area (Coe-Clevenger)
Computes the unit area of a thickener by the Coe-Clevenger method, UA = (D_f − D_u)/v_s, from the feed dilution D_f (mass of liquid per mass of solids), the underflow dilution D_u and the settling velocity v_s (m/h); the result is in m²·h/t. The unit area is the thickening area needed per tonne of solids per hour. The dilution difference (D_f − D_u) represents the water that must be removed (clarified) per tonne of solids, and dividing by the settling velocity gives the area. The calculation is repeated for several test concentrations; the largest unit area (critical concentration) governs the sizing. Enter the feed and underflow dilutions and the settling velocity.
Thickener Area
Computes the total area of a thickener, A = UA·G, from the unit area UA (m²·h/t) and the solids mass flow to be processed G (t/h); the result is in m². Multiplying the unit area (obtained by the Coe-Clevenger method at the critical concentration) by the operation's solids tonnage gives the settling area the thickener must have. This area determines the tank diameter — often large, tens of metres, in mining plants. A safety factor (1.2 to 1.5) is applied to the calculated area to absorb feed and flocculation variations. Enter the unit area and the solids flow.
Thickener Diameter
Computes the diameter of a circular thickener, D = √(4·A/π), from the settling area A (m²); the result is in m. Thickeners and clarifiers are circular tanks with rotating rakes; given the required settling area, the diameter follows from the circle geometry. Industrial mining thickeners reach 30, 50 or more than 100 m in diameter (high-capacity and paste thickeners). The diameter defines the construction cost, the footprint and the rake mechanism torque. It is the final physical parameter of the sizing. Enter the settling area.
Thickener Solids Capacity
Computes the solids loading rate (unit capacity) of a thickener, q = G/A, from the solids mass flow G (t/h) and the settling area A (m²); the result is in t/(m²·h). The solids loading rate is the mass flux per unit settling area — the inverse of the unit area. It is a direct indicator of how loaded the thickener operates: values above the limit (critical flux) raise the sludge interface and cause solids carryover in the overflow (loss of clarification). Comparing the actual rate with the design one monitors the operation. In high-capacity thickeners, flocculants greatly raise this limit. Enter the solids flow and the area.
Cooling Tower Range
Computes the range of a cooling tower, R = T_hot − T_cold, from the hot water temperature entering the tower T_hot (°C) and the cold water temperature leaving T_cold (°C); the result is in °C. The range is the temperature drop the tower achieves in the water — that is, how much heat it removes per unit flow. It is determined by the process heat load and the circulating water flow (R = Q/(ṁ·c_p)), not by the air conditions. A typical industrial tower range is between 5 °C and 15 °C. It is the first performance parameter in evaluating a tower. Enter the hot and cold water temperatures.
Cooling Tower Approach
Computes the approach of a cooling tower, A = T_cold − T_wet_bulb, from the cold water temperature leaving T_cold (°C) and the ambient air wet-bulb temperature T_wet_bulb (°C); the result is in °C. The approach measures how close the cooled water gets to the wet-bulb temperature — the minimum thermodynamic limit the tower could reach. The smaller the approach, the larger and more efficient the tower must be; approaches below 3 °C are expensive to achieve. Unlike the range, the approach depends strongly on the air conditions and the tower size. It is the key indicator of cooling performance. Enter the cold water temperature and the wet-bulb temperature.
Cooling Tower Efficiency
Computes the efficiency of a cooling tower, η = (T_hot − T_cold)/(T_hot − T_wet_bulb)·100, from the hot water temperature T_hot (°C), the cold water T_cold (°C) and the wet bulb T_wet_bulb (°C); the result is in %. The efficiency relates the actual cooling achieved (range) to the maximum theoretically possible (range + approach, down to the wet bulb). It is equivalent to η = R/(R + A). Well-designed and operated towers reach 70% to 85%; low values indicate fill fouling, poor water distribution or insufficient ventilation. It is the overall indicator of the tower's thermal health. Enter the hot, cold and wet-bulb temperatures.
Cooling Tower Heat Load
Computes the heat load dissipated by a cooling tower, Q = ṁ·c_p·R, from the water mass flow ṁ (kg/s), the water specific heat c_p (here 4.186 kJ/kg·K) and the range R (°C); the result is in kW. The heat load is the amount of heat the tower removes from the circulating water per second — equal to the heat rejected by the process (condensers, exchangers, motors). It sizes the tower, the water flow and the fan power. For water, c_p ≈ 4.186 kJ/kg·K. Multiplying the flow by the range gives the thermal power directly. Enter the water mass flow and the range.
Cooling Tower Evaporation Loss
Estimates the evaporation water loss in a cooling tower, E = 0.00153·V_circ·R, from the circulating water flow V_circ (m³/h) and the range R (°C); the result is in m³/h. The water cooling occurs mainly by the evaporation of a small fraction of it, which removes latent heat. The rule of thumb indicates about 1.8% of the circulating flow evaporated per 10 °C of range (the constant 0.00153 already incorporates the unit conversion). This evaporated water must be replaced and, leaving pure, concentrates the salts in the remaining circuits. It is the largest of a tower's losses and the basis of the water balance. Enter the circulating flow and the range.
Cooling Tower Cycles of Concentration
Computes the cycles of concentration of a cooling tower, COC = C_recirculation/C_makeup, from the salt concentration (or conductivity) in the recirculating water C_recirculation and in the makeup water C_makeup (same unit); the result is dimensionless. Since evaporation leaves pure, the salts accumulate in the circulating water; the cycles of concentration indicate how many times more concentrated the water became than the makeup. High COC saves water (less blowdown) but increases the risk of scaling and corrosion; low COC wastes water. Typical ranges are 3 to 7, depending on water quality and chemical treatment. It is the central parameter of the tower's water management. Enter the recirculating and makeup concentrations.
Cooling Tower Blowdown
Computes the blowdown flow of a cooling tower, B = E/(COC − 1), from the evaporation loss E (m³/h) and the cycles of concentration COC; the result is in m³/h. The blowdown is the deliberate removal of concentrated water from the system to control salt buildup at the desired cycles of concentration. The higher the cycles (more concentrated water), the lower the blowdown needed — hence the benefit of high COC. The blowdown, added to evaporation and drift, defines the total makeup water. It is the parameter operated to balance water economy with scaling/corrosion control. Enter the evaporation loss and the cycles of concentration.
Cooling Tower Makeup Water
Computes the makeup water flow of a cooling tower, M = E + B + D, from the evaporation loss E (m³/h), the blowdown flow B (m³/h) and the drift loss D (m³/h); the result is in m³/h. The makeup water compensates for all the system's losses to keep the basin level constant: evaporation (the largest share), blowdown (salt control) and the drift of droplets carried by the air. This value defines the tower's water consumption — a significant operating cost increasingly subject to environmental restrictions. Reducing makeup involves raising the cycles of concentration and minimising drift. Enter the evaporation, the blowdown and the drift.
Cooling Tower L/G Ratio
Computes the liquid-to-gas ratio of a cooling tower, L/G = ṁ_water/ṁ_air, from the water mass flow ṁ_water (kg/s) and the air mass flow ṁ_air (kg/s); the result is dimensionless. The L/G ratio is the fundamental design parameter balancing the amount of water to cool with the air doing the cooling. Typical values are between 0.8 and 1.5. High L/G (little air) reduces performance and requires a larger tower; low L/G (much air) increases fan consumption and drift. The choice of L/G, together with the fill characteristic, defines the tower's operating curve (Merkel method). Enter the water and air mass flows.
Cooling Tower Drift Loss
Computes the drift water loss in a cooling tower, D = V_circ·(d/100), from the circulating water flow V_circ (m³/h) and the drift rate d (%); the result is in m³/h. Drift is the water leaving the tower as fine droplets carried by the air stream, without evaporating — unlike evaporation, it carries salts along. Modern drift eliminators reduce drift to 0.001%–0.005% of the circulating flow. Beyond the water loss, drift is an environmental concern (chemical dispersion and legionella risk). Reducing it improves the water balance and environmental compliance. Enter the circulating flow and the drift rate.
Filtration Velocity (Air-to-Cloth Ratio)
Computes the filtration velocity of a baghouse, also called the air-to-cloth ratio, V_f = Q/A, from the gas flow Q (m³/min) and the total filtration area A (m²); the result is in m/min. The air-to-cloth ratio is the most important design parameter of a baghouse: it represents how many cubic metres of gas pass per minute per square metre of fabric. Low values (0.8 to 2 m/min) give efficient filtration and low pressure drop but require more fabric; high values increase dust carryover and pressure drop. Reverse-air cleaned fabrics use lower ratios than pulse-jet cleaned ones. Enter the gas flow and the filtration area.
Baghouse Filtration Area
Computes the required filtration area of a baghouse, A = Q/V_f, from the gas flow Q (m³/min) and the design filtration velocity V_f (m/min); the result is in m². It is the inverse of the air-to-cloth ratio: given the gas flow to be treated and the filtration velocity suited to the fabric and dust, it yields how much fabric area must be installed. This area determines the filter's physical size, the number of bags and the cost. Undersizing the area raises the actual velocity, harming efficiency and bag life. It is the central step in sizing a dust collection system. Enter the gas flow and the filtration velocity.
Baghouse Bag Count
Computes the number of bags in a filter, n = A/(π·D·L), from the total filtration area A (m²), the bag diameter D (m) and the bag length L (m); the result is the number of bags. Each cylindrical bag offers a filtration area equal to its lateral surface (π·D·L); dividing the total required area by this individual area gives how many bags are needed. The result, rounded up, defines the compartment layout and filter size. Longer bags reduce the number of units but require greater equipment height and complicate cleaning. Enter the filtration area, the bag diameter and the bag length.
Fabric Dust Load
Computes the dust load deposited on the fabric of a baghouse, W = C_i·V_f·t, from the inlet dust concentration C_i (g/m³), the filtration velocity V_f (m/min) and the filtration time t (min); the result is in g/m². The areal dust load is the mass of dust accumulated per square metre of fabric between cleanings. It forms the filter cake, which paradoxically improves capture efficiency while increasing pressure drop. When the load reaches the limit that raises the pressure drop to the maximum allowable, the cleaning cycle is triggered. It is the basis for calculating pressure drop and cycle time. Enter the inlet concentration, the velocity and the time.
Baghouse Pressure Drop
Computes the pressure drop across a baghouse, ΔP = K_e·V_f + K_s·C_i·V_f²·t, from the clean-fabric resistance K_e, the filtration velocity V_f (m/min), the cake resistance coefficient K_s, the inlet concentration C_i (g/m³) and the time t (min); the result is in Pa. The pressure loss has two parts: the fixed resistance of the clean fabric (proportional to velocity) and the growing resistance of the dust cake (which increases with the square of the velocity and the dust accumulated over time). This pressure drop is paid by the fan and grows until it triggers cleaning. Monitoring it is the way to control the filter cycle. Enter the coefficients, the velocity, the concentration and the time.
Baghouse Cycle Time
Computes the filtration time until cleaning of a baghouse, t = (ΔP_max − K_e·V_f)/(K_s·C_i·V_f²), from the maximum allowable pressure drop ΔP_max (Pa), the fabric resistance K_e, the filtration velocity V_f (m/min), the cake coefficient K_s and the inlet concentration C_i (g/m³); the result is in minutes. It is the inverse of the pressure drop calculation: given the maximum pressure drop the fan tolerates, it yields how long the filter operates before the bags need cleaning. This interval defines the cleaning frequency, the compressed-air consumption (in pulse-jet) and the fabric wear. Too short cycles reduce bag life. Enter the maximum drop, the coefficients, the velocity and the concentration.
ESP Efficiency (Deutsch-Anderson)
Computes the collection efficiency of an electrostatic precipitator by the Deutsch-Anderson equation, η = (1 − e^(−w·A/Q))·100, from the particle migration velocity w (m/s), the collecting area A (m²) and the gas flow Q (m³/s); the result is in %. In the precipitator, particles are electrically charged and migrate to the collecting plates under the electric field; the efficiency grows exponentially with the product of migration velocity and area divided by the flow. Being exponential, doubling the area does not double the efficiency — marginal gains become expensive near 100%. It is the fundamental equation of precipitator design, which reaches 99% or more. Enter the migration velocity, the collecting area and the gas flow.
ESP Collecting Area
Computes the required collecting area of an electrostatic precipitator, A = −(Q/w)·ln(1 − η/100), from the gas flow Q (m³/s), the migration velocity w (m/s) and the desired efficiency η (%); the result is in m². It is the inverse of the Deutsch-Anderson equation: given the flow to be treated, the dust's characteristic migration and the target efficiency (often required by environmental regulation), it yields the collecting-plate area the precipitator must have. Since the logarithm grows rapidly near 100%, requiring 99.9% instead of 99% greatly increases the area and cost. It is the central sizing step of the equipment design. Enter the flow, the migration velocity and the desired efficiency.
Effective Migration Velocity
Computes the effective migration velocity of particles in an electrostatic precipitator, w = −(Q/A)·ln(1 − η/100), from the gas flow Q (m³/s), the collecting area A (m²) and the measured efficiency η (%); the result is in m/s. The migration (or drift) velocity is the speed at which charged particles move toward the plates under the electric field. Inverting the Deutsch equation from real efficiency data gives the effective velocity — an empirical parameter encompassing charging, field and dust resistivity. Comparing the effective w with the theoretical assesses the precipitator's performance and guides adjustments. Typical values range from 0.05 to 0.2 m/s. Enter the flow, the collecting area and the efficiency.
Specific Collecting Area (SCA)
Computes the specific collecting area (SCA) of an electrostatic precipitator, SCA = A/Q, from the collecting area A (m²) and the gas flow Q (m³/s); the result is in s/m (m² per m³/s). The SCA is the ratio of plate area to treated flow — a compact indicator of the precipitator's sizing that appears directly in the exponent of the Deutsch equation (η = 1 − e^(−w·SCA)). The higher the SCA, the greater the potential efficiency: high-efficiency precipitators have a high SCA (large area for little flow). It is the metric used to compare designs and quickly estimate performance. Typical values range from 40 to 200 s/m depending on the required efficiency. Enter the collecting area and the gas flow.
Crusher Nip Angle
Computes the maximum nip angle of a crusher, α = 2·arctan(μ), from the friction coefficient μ between the ore and the plates; the result is in degrees. The nip angle is the angle formed between the two jaws (or rolls) in the region where the rock is gripped. For the particle to be nipped and crushed rather than slip upward, the angle must be smaller than this maximum, which depends only on the ore-plate friction. Practical values are between 18° and 24° (μ ≈ 0.2 to 0.3). Too large an angle makes the rock bounce out and reduces capacity. It is a fundamental geometric criterion of crusher design. Enter the friction coefficient.
Jaw Crusher Capacity
Estimates the capacity of a jaw crusher, Q = W·CSS·v·3600·ρ_b/1000, from the mouth width W (m), the closed-side setting CSS (m), the material's mean descent velocity v (m/s) and the bulk density of the crushed ore ρ_b (kg/m³); the result is in t/h. The discharged material forms a continuous ribbon whose section is the width times the discharge opening; multiplying by the velocity and density gives the mass flow. It is a design estimate guiding crusher selection for a given output. The actual capacity also depends on crushability, moisture and feed size distribution. Enter the width, the discharge setting, the velocity and the bulk density.
Crusher Open-Side Setting (OSS)
Computes the open-side setting of a crusher, OSS = CSS + throw, from the closed-side setting CSS (m) and the moving jaw's throw (displacement) (m); the result is in m. During the cycle, the moving jaw oscillates between the closed position (CSS, smallest opening) and the open one (OSS, largest opening); the difference is the throw. The OSS determines the maximum product size leaving the crusher, while the CSS determines the minimum. The relationship between the two and the throw governs the capacity and the size distribution. It is a basic crusher adjustment and specification parameter. Enter the closed setting and the jaw throw.
Mill Critical Speed
Computes the critical speed of a ball mill, N_c = 42.3/√(D − d), from the mill's internal diameter D (m) and the ball diameter d (m); the result is in rpm. The critical speed is the rotation at which the centrifugal force equals gravity at the top of the drum — the balls would stick to the wall without falling, cancelling the grinding. Mills therefore operate below the critical (typically 65% to 80%), so the charge is lifted and tumbles in cascade or cataract onto the ore. The constant 42.3 holds for D and d in metres. It is the reference parameter for setting the operating speed. Enter the mill diameter and the ball diameter.
Mill Operating Speed
Computes the operating speed of a ball mill, N = f·N_c, from the fraction of critical speed f (decimal) and the critical speed N_c (rpm); the result is in rpm. Mills operate at a percentage of the critical speed that defines the charge's motion regime: low fractions (~65%) produce cascading (balls rolling, attrition grinding, fine particles); high fractions (~75-80%) produce cataracting (balls in flight, impact grinding, coarse particles). The choice of f balances the desired size distribution, energy consumption and liner wear. It is the mill's central operational adjustment. Enter the fraction of critical speed and the critical speed.
Ball Mill Volume
Computes the internal volume of a cylindrical ball mill, V = (π/4)·D²·L, from the internal diameter D (m) and the length L (m); the result is in m³. The internal volume is the basis for sizing the ball charge and the in-process material: the fill fraction (typically 30% to 45% of the volume) defines how much grinding charge the mill holds. Together with the speed and charge, the volume determines the grinding capacity and the power drawn. Industrial mills range from a few m³ to hundreds of m³. It is the first geometric parameter in mill design. Enter the internal diameter and the length.
Mill Fill Fraction
Computes the ball fill fraction of a mill, J = (M_b/ρ_ap)/V·100, from the ball mass M_b (kg), the charge's apparent density ρ_ap (kg/m³, including the voids between balls, ~4650 for steel) and the mill's internal volume V (m³); the result is in %. The fill fraction is the volume occupied by the grinding charge (balls plus voids) relative to the mill volume. Typical values are between 30% and 45%: too little charge reduces grinding; too much restricts ball motion and raises consumption without gain. It is a key operational parameter affecting power and efficiency. Enter the ball mass, the apparent density and the mill volume.
Mill Ball Mass
Computes the ball mass needed in a mill, M_b = (J/100)·V·ρ_ap, from the desired fill fraction J (%), the mill's internal volume V (m³) and the charge's apparent density ρ_ap (kg/m³, ~4650 for steel balls with voids); the result is in kg. It is the inverse of the fill calculation: given the volume fraction to fill with grinding charge, it yields how much ball mass to load into the mill. This value guides the initial charge and the make-up (balls wear and must be periodically replaced). The ball mass directly affects the power drawn and the grinding capacity. Enter the fill fraction, the volume and the apparent density.
Mill Power (Bond)
Computes the grinding power needed in a mill, P = E·Q, from the specific grinding energy E (kWh/t, obtained from the Bond equation) and the feed rate Q (t/h); the result is in kW. The Bond specific energy expresses how much energy is needed per tonne to reduce the ore from the feed size to the product size; multiplying by the processed tonnage gives the total power the mill must deliver at the shaft. This value sizes the drive motor — often the largest energy consumer in a beneficiation plant. The installed power includes margin for efficiency and variations. Enter the specific energy and the feed rate.
Mill Throughput (Bond)
Computes the grinding capacity (throughput) of a mill, Q = P/E, from the available shaft power P (kW) and the specific grinding energy E (kWh/t, from the Bond equation); the result is in t/h. It is the inverse of the power calculation: given the installed power of an existing mill and the energy the ore requires per tonne to reach the target size, it yields how many tonnes per hour the mill can process. This calculation quickly assesses a plant's capacity for a new ore (harder ore consumes more energy and reduces throughput) or for a finer product size. Enter the available power and the specific energy.
Cyclone Inlet Velocity
Computes the gas velocity at the inlet of a cyclone separator, v = Q/(b·h), from the volumetric gas flow Q (m³/s), the inlet duct width b (m) and the duct height h (m); the result is in m/s. The tangential inlet converts this velocity into rotation inside the cyclone, generating the centrifugal force that throws the particles against the wall. The inlet velocity is the most important design parameter: typical values are between 15 and 25 m/s. Too low reduces collection efficiency; too high increases the pressure drop and dust re-entrainment. Enter the gas flow and the inlet duct dimensions.
Cyclone Effective Turns
Computes the number of effective turns the gas makes inside a cyclone, N_e = (1/h)·(L_b + L_c/2), from the inlet duct height h (m), the cylindrical body length L_b (m) and the cone length L_c (m). It is the number of spirals the vortex describes before reversing direction and leaving through the central tube — the cone counts as half because it tapers. The more turns, the more time the particles have to migrate to the wall and be collected, increasing efficiency. Typical N_e is between 4 and 8. This parameter enters directly into the cut diameter calculation. Enter the duct height, the body length and the cone length.
Cyclone Cut Diameter (d₅₀)
Computes the cut diameter of a cyclone using the Lapple model, d₅₀ = √(9·μ·b/(2π·N_e·v·(ρp − ρg))), from the gas viscosity μ (Pa·s), the inlet width b (m), the number of effective turns N_e, the inlet velocity v (m/s), the particle density ρp (kg/m³) and the gas density ρg (kg/m³); the result is in µm. The cut diameter is the particle size collected with 50% efficiency — larger particles are separated more effectively, smaller ones escape. It is the cyclone's key performance indicator: the smaller the d₅₀, the finer the dust the equipment can capture. Enter the viscosity, inlet width, turns, velocity and densities.
Cyclone Collection Efficiency
Computes the collection efficiency of a cyclone for a particle of given size, η = 1/(1 + (d₅₀/dp)²)·100, from the cut diameter d₅₀ (µm) and the particle diameter dp (µm); the result is in %. This fractional efficiency curve (Lapple model) shows how capture varies with size: particles equal to d₅₀ are collected at 50%; much larger ones tend to 100% and much smaller ones escape. Applying the curve to the dust's whole size distribution gives the cyclone's overall efficiency. It is the way to predict the real performance for a specific material. Enter the cut diameter and the particle diameter.
Cyclone Pressure Drop
Computes the pressure drop across a cyclone, ΔP = ½·ρg·v²·N_H, from the gas density ρg (kg/m³), the inlet velocity v (m/s) and the number of velocity heads N_H; the result is in Pa. The pressure loss is expressed as a multiple (N_H, typically 8) of the gas's dynamic pressure at the inlet. It represents the energy consumed to create and sustain the vortex and is paid directly by the fan. It grows with the square of the inlet velocity — so raising the velocity to improve collection has an increasing energy cost. It is a central parameter in sizing the blower. Enter the gas density, the inlet velocity and the number of velocity heads.
Particle Relaxation Time
Computes the relaxation time of a particle in a gas, τ = ρp·dp²/(18·μ), from the particle density ρp (kg/m³), the particle diameter dp (µm) and the gas viscosity μ (Pa·s); the result is in milliseconds. The relaxation time measures how fast a particle responds to changes in the gas flow — the smaller it is, the more the particle follows the streamlines. Large, dense particles have a large τ and deviate by inertia (they are captured in the cyclone); fine particles have a small τ and follow the gas (they escape). It is the physical basis of the Stokes number and inertial separation. Enter the density, the particle diameter and the gas viscosity.
Cyclone Stokes Number
Computes the Stokes number of a particle in a cyclone, Stk = ρp·dp²·v/(18·μ·Dc), from the particle density ρp (kg/m³), the diameter dp (µm), the characteristic velocity v (m/s), the gas viscosity μ (Pa·s) and the cyclone diameter Dc (m); the result is dimensionless. The Stokes number compares the particle's relaxation time with the flow's characteristic time — it quantifies the particle's tendency to deviate from the streamlines by inertia. Stk >> 1 means a particle easily collected; Stk << 1, a particle that follows the gas and escapes. It is the dimensionless parameter governing inertial separation in cyclones, impactors and venturis. Enter the density, diameter, velocity, viscosity and cyclone diameter.
Solids-to-Gas Loading Ratio
Computes the solids loading ratio in a gas-solid system, μ = ṁ_solids/ṁ_gas, from the solids mass flow ṁ_solids (kg/s) and the gas mass flow ṁ_gas (kg/s); the result is dimensionless. The solids loading ratio indicates how many kilograms of dust are conveyed per kilogram of air — it is the parameter that classifies the pneumatic conveying regime: dilute phase (ratio up to ~15, suspended particles) or dense phase (ratio above ~15, bed or plug conveying). It defines the blower type, the conveying velocity and the pipe design. It also characterises the dust concentration at the inlet of a cyclone or filter. Enter the solids and gas mass flows.
Cyclone Residence Time
Computes the gas residence time inside a cyclone, t = π·Dc·N_e/v, from the cyclone diameter Dc (m), the number of effective turns N_e and the inlet velocity v (m/s); the result is in seconds. The residence time is how long the gas (and suspended particles) stays spinning inside the cyclone — the helical path length (π·Dc per turn × number of turns) divided by the velocity. The longer this time, the more opportunity the particles have to migrate to the wall and be collected. It is a physical indicator of separation capacity and helps compare cyclone geometries. Enter the diameter, the number of turns and the velocity.
Cyclone Natural Length (Alexander)
Computes the natural vortex length of a cyclone using Alexander's correlation, L_n = 2.3·De·(Dc²/(b·h))^(1/3), from the outlet tube diameter De (m), the cyclone diameter Dc (m), the inlet duct width b (m) and height h (m); the result is in m. The natural length is the distance below the outlet tube down to where the vortex stays stable before changing direction. If it is shorter than the cyclone's physical length, the vortex ends inside the equipment, which is desirable; if it extends past the bottom, re-entrainment of collected dust occurs, reducing efficiency. It is a design criterion for the cyclone height. Enter the outlet and cyclone diameters and the inlet dimensions.
Screw Conveyor Volumetric Capacity
Computes the volumetric capacity of a screw conveyor, Q = (π/4)·(D² − d²)·p·n·λ·60, from the helix outer diameter D (m), the central shaft diameter d (m), the screw pitch p (m), the speed n (rpm) and the fill factor λ; the result is in m³/h. With each turn, the screw advances the material by one pitch within the annular space between the helix and the shaft; the fill factor λ (typically 0.15 to 0.45) reflects that the trough does not run completely full. It is the basic sizing calculation for screw conveyors of grain, cement, sugar and other bulk solids. Enter the outer and shaft diameters, the pitch, the speed and the fill factor.
Screw Conveyor Mass Capacity
Computes the mass capacity of a screw conveyor, Q_m = Q·ρ/1000, from the volumetric capacity Q (m³/h) and the material's bulk density ρ (kg/m³); the result is in t/h. Converting the volumetric flow into mass flow via the product's bulk density gives how many tonnes per hour the screw conveys — the figure that matters for the process balance and drive specification. The bulk density accounts for the voids between particles and varies greatly with the material (cereals ~750 kg/m³, cement ~1500 kg/m³). Enter the volumetric capacity and the bulk density.
Screw Conveyor Axial Speed
Computes the axial advance speed of the material in a screw conveyor, v = p·n/60, from the screw pitch p (m) and the speed n (rpm); the result is in m/s. With each full turn of the screw, the material ideally advances a distance equal to the pitch; multiplying by the revolutions per second gives the average transport speed along the trough. In practice there is slippage and the effective speed is slightly lower. This speed defines the material's residence time in the screw — important when the conveyor also heats, mixes or doses. Enter the pitch and the speed.
Screw Conveyor Power
Computes the drive power of a screw conveyor, P = Q_m·L·F_o/367, from the mass capacity Q_m (t/h), the conveyor length L (m) and the material resistance factor F_o; the result is in kW. The empirical formula relates the power to the product of mass flow, length and a factor reflecting the material's friction against the trough and helix (F_o ranges from ~1.2 for light grains to ~4 for abrasive materials). The constant 367 adjusts the units. It is the basis for selecting the screw's motor and reducer. Enter the mass capacity, the length and the resistance factor.
Screw Conveyor Shaft Torque
Computes the shaft torque of a screw conveyor, T = 9550·P/n, from the drive power P (kW) and the speed n (rpm); the result is in N·m. The universal relationship between power, torque and speed (with the constant 9550 for kW and rpm) gives the torque the screw shaft must transmit. This value sizes the central shaft diameter, the bearings and the coupling to the reducer, and checks the helix's torsional strength. Long, slow conveyors require high torques, which often governs the screw's mechanical design. Enter the power and the speed.
Bucket Elevator Capacity
Computes the capacity of a bucket elevator, Q = V_b·v·λ·3.6/a, from each bucket's volume V_b (L), the belt/chain speed v (m/s), the fill factor λ and the bucket spacing a (m); the result is in m³/h. The buckets mounted on the belt scoop the material at the elevator boot and discharge it at the top; the capacity depends on how much each bucket carries (volume × fill), how many pass per second (speed/spacing) and the unit conversion. It is the sizing calculation for vertical elevators of grain, cement and ores. Enter the bucket volume, the speed, the fill factor and the spacing.
Bucket Elevator Power
Computes the lifting power of a bucket elevator, P = Q_m·H·9.81/3600, from the mass capacity Q_m (t/h) and the lift height H (m); the result is in kW. The useful power corresponds to the work of raising the material mass per hour to the elevator's height, against gravity. The constant 3600 converts t/h to kg/s and 9.81 is gravity. The actual motor power is higher, divided by the assembly's efficiency and increased by filling and friction losses — but this is the dominant share. Enter the mass capacity and the lift height.
Screening Efficiency
Computes the screening efficiency of a vibrating screen, E = (m_passing/m_fines_feed)·100, from the mass of fines that actually passed through the deck m_passing (t/h) and the mass of fines present in the feed m_fines_feed (t/h); the result is in %. The efficiency measures the fraction of fine material (smaller than the deck aperture) that actually passes through the screen, rather than improperly following the coarse fraction. Overloaded, blinded or thick-bed screens have low efficiency. Design values range from 85% to 95%. It is the key performance indicator of screening. Enter the passing fines mass and the feed fines mass.
Vibrating Screen Area
Computes the required deck area of a vibrating screen, A = Q/C_u, from the feed rate Q (t/h) and the deck's basic unit capacity C_u (t/h per m²); the result is in m². The unit capacity is the flow each square metre of deck processes for a given aperture and material; dividing the total flow by it gives the required screening area. In practice, C_u is corrected by a series of factors (moisture, percentage of fines, particle shape, slope, wet screening), but this is the starting estimate of the sizing. Larger areas reduce overloading and raise efficiency. Enter the feed rate and the unit capacity.
Vibrating Screen Acceleration (g)
Computes the vibration intensity (acceleration) of a vibrating screen in multiples of gravity, a = (2π·f)²·s/9.81, from the vibration frequency f (Hz) and the amplitude s (m); the result is dimensionless (in g). The acceleration characterises the energy transmitted to the material bed: it stratifies the particles and pushes the fines against the deck. Typical screens operate between 3 and 5 g — below that the material does not move well; above, wear and structural fatigue increase. Tuning f and the amplitude to the correct g range is essential for efficient screening. Enter the vibration frequency and the amplitude.
Band Brake Torque
Computes the braking torque of a band brake, M = (T₁ − T₂)·r, from the tight-side tension T₁ (N), the slack-side tension T₂ (N) and the drum radius r (m); the result is in N·m. In a band brake, a flexible band wraps the drum and friction generates different tensions at the two ends — the difference (T₁ − T₂) is the friction force that multiplies the radius to brake the drum. It is the simplest and most compact brake, used in winches, hoists and agricultural equipment. The torque grows with the tension difference and the drum radius. Enter the tight- and slack-side tensions and the drum radius.
Band Brake Tight-Side Tension
Computes the tight-side tension of a band brake, T₁ = (M/r)/(1 − e^(−μθ)), from the braking torque M (N·m), the drum radius r (m), the friction coefficient μ and the wrap angle θ (rad). Combining Eytelwein's equation (T₁/T₂ = e^(μθ)) with the torque definition isolates the maximum tension the band must withstand to generate the desired torque. This value sizes the band's strength and the tight-end fixing. The higher the friction and wrap angle, the lower the tension needed for the same torque — hence the band brake's efficiency. Enter the torque, the radius, the friction coefficient and the wrap angle.
Band Brake Slack-Side Tension
Computes the slack-side tension of a band brake by Eytelwein's equation, T₂ = T₁/e^(μθ), from the tight-side tension T₁ (N), the friction coefficient μ and the wrap angle θ (rad). As the band wraps the drum, friction progressively reduces the tension from the tight side to the slack side following an exponential relationship. The slack side is generally where the lever actuating force is applied. Knowing T₂ allows sizing the control mechanism and checking whether the brake is self-locking. The higher μ·θ, the lower T₂ relative to T₁. Enter the tight tension, the friction coefficient and the wrap angle.
Band Brake Actuation Force
Computes the lever actuation force of a simple band brake, P = T₂·b/L, from the slack-side tension T₂ (N), the distance from the band fixing point to the pivot b (m) and the lever length L (m); the result is in N. In a simple band brake, one end of the band is fixed at the pivot and the other (slack side) is pulled by the control lever; the moment balance about the pivot gives the force needed at the handle. Long levers (large L) reduce the operator's effort. This is the calculation of the manual control or brake actuator. Enter the slack tension, the band-to-pivot distance and the lever length.
Differential Band Brake Force
Computes the actuation force of a differential band brake, P = (T₂·a − T₁·c)/L, from the slack tension T₂ (N), the slack-band arm a (m), the tight tension T₁ (N), the tight-band arm c (m) and the lever length L (m); the result is in N. In the differential brake, both band ends fix to the lever on opposite sides of the pivot, so the band tension itself helps apply the brake (self-energising). If T₁·c approaches T₂·a, the control force tends to zero — and if it exceeds, the brake is self-locking (dangerous, brakes by itself). It is a powerful arrangement but requires careful design. Enter the two tensions, the two arms and the lever length.
Band Brake Maximum Pressure
Computes the maximum contact pressure between the band and the drum of a band brake, p = T₁/(r·w), from the tight-side tension T₁ (N), the drum radius r (m) and the band width w (m); the result is in MPa. The contact pressure is maximum on the tight side of the band, where the tension is greatest, and decreases along the wrap. This pressure must stay below the friction material's allowable limit (lining, composite) to avoid accelerated wear and efficiency loss from overheating. It is the check that sets the minimum band width. Enter the tight tension, the drum radius and the band width.
Band Brake Width
Computes the minimum band width of a band brake, w = T₁/(r·p_allow), from the tight-side tension T₁ (N), the drum radius r (m) and the allowable contact pressure p_allow (MPa); the result is in mm. It is the inverse of the pressure calculation: given the maximum tension and the friction material's pressure limit, it yields the minimum width the band must have to not exceed that limit. Wider bands spread the load over a larger area, reducing pressure and wear, at the cost of a larger drum and weight. It is a central step in brake sizing. Enter the tight tension, the drum radius and the allowable pressure.
Band Brake Wrap Angle
Computes the wrap angle needed in a band brake, θ = ln(T₁/T₂)/μ, from the tight tension T₁ (N), the slack tension T₂ (N) and the friction coefficient μ; the result is in degrees. Inverting Eytelwein's equation gives how much the band must wrap the drum so friction produces the desired tension ratio. Angles greater than 360° require the band to make more than one turn on the drum (rare). For the same tension ratio, materials with higher friction need a smaller wrap. It is the geometric parameter that defines the brake assembly. Enter the tight and slack tensions and the friction coefficient.
Band Brake Friction Coefficient
Computes the friction coefficient needed in a band brake, μ = ln(T₁/T₂)/θ, from the tight tension T₁ (N), the slack tension T₂ (N) and the wrap angle θ (rad). Inverting Eytelwein's equation determines the friction the band-drum pair must offer to produce the required tension ratio with the available wrap. This value guides the friction material selection: if the required μ exceeds that of the available material, the wrap angle must be increased or the lining changed. It also serves to estimate the actual friction from tensions measured in a test. Enter the tight and slack tensions and the wrap angle.
Rotational Braking Energy
Computes the rotational kinetic energy to be dissipated when braking a spinning body, E = ½·I·ω², from the moment of inertia I (kg·m²) and the angular velocity ω (rad/s); the result is in joules. When braking a flywheel, drum, rotor or wheel, all the rotational kinetic energy converts to heat in the brake. Knowing this energy is essential for sizing the brake's thermal capacity and predicting the temperature rise — too much energy in a short time overheats and degrades the friction material. It grows with the moment of inertia and the square of the speed. Enter the moment of inertia and the angular velocity.
Torsion Spring Rate
Computes the rate of a helical torsion spring, k = d⁴·E/(10.8·D·N_a), from the wire diameter d (mm), the modulus of elasticity E (MPa), the mean coil diameter D (mm) and the number of active coils N_a; the result is in N·mm per turn. A torsion spring stores energy by bending the wire when its ends are rotated — it is the spring of clothespins, hinges and return mechanisms. The rate expresses how much moment is needed to rotate it one full turn: it grows with the fourth power of the wire diameter and falls with the coil diameter and number of coils. The factor 10.8 adjusts units and curvature. Enter the wire diameter, the modulus, the coil diameter and the active coils.
Torsion Spring Moment
Computes the moment (torque) exerted by a helical torsion spring, M = k·θ, from the spring rate k (N·mm/turn) and the angular deflection θ (turns). Since the torsion spring is elastic, the return moment is proportional to the rotation angle applied to its ends — the more the spring is wound, the greater the moment it returns. This is the calculation that sizes the closing force of a lid, the return of a lever or the preload of a mechanism. The deflection may be entered in turns (or fractions of a turn) consistent with the rate's unit. Enter the spring rate and the angular deflection.
Torsion Spring Bending Stress
Computes the bending stress in the wire of a helical torsion spring, σ = K_b·32·M/(π·d³), from the curvature correction factor K_b, the applied moment M (N·mm) and the wire diameter d (mm); the result is in MPa. Unlike compression springs (which work by twisting the wire), the torsion spring loads the wire in bending. The factor K_b (analogous to the Wahl factor) corrects the stress concentration on the inner face of the coil, where the stress is maximum. The obtained stress is compared with the spring material's strength, usually a high-yield steel. Enter the curvature factor, the moment and the wire diameter.
Torsion Spring Angular Deflection
Computes the angular deflection of a helical torsion spring, θ = M/k, from the applied moment M (N·mm) and the spring rate k (N·mm/turn); the result is in turns. It is the inverse of the moment calculation: given the torque acting on the spring and its rate, it yields how many turns (or fractions of a turn) it rotates. This angle is essential for checking the travel of return mechanisms, ensuring the spring is not wound beyond the elastic limit and sizing the end-of-travel stop. Multiplying by 360 gives the deflection in degrees. Enter the moment and the spring rate.
Torsion Spring Wire Diameter
Computes the wire diameter needed in a helical torsion spring, d = ∛(K_b·32·M/(π·σ_allow)), from the curvature factor K_b, the moment M (N·mm) and the allowable bending stress σ_allow (MPa); the result is in mm. It is the inverse of the stress calculation: given the design moment and the material's allowable stress, it yields the minimum wire diameter that withstands the bending. The value should be rounded up to the next commercial gauge and rechecked, since changing d also changes the spring rate (which varies with d⁴). It is the central step in sizing a torsion spring. Enter the curvature factor, the moment and the allowable stress.
Leaf Spring Stress
Computes the bending stress in a leaf spring (spring pack), σ = 6·F·L/(n·b·t²), from the load F (N), the length L (mm), the number of leaves n, the leaf width b (mm) and the thickness t (mm); the result is in MPa. The leaf spring (semi-elliptic) is the classic suspension element of heavy vehicles: several stacked leaves work in bending like beams. The maximum stress occurs at the surface and grows with the load and length, falling with the number of leaves and the square of the thickness. It is compared with the spring steel's strength to ensure fatigue life. Enter the load, the length, the number of leaves, the width and the thickness.
Leaf Spring Deflection
Computes the deflection of a leaf spring, δ = 6·F·L³/(n·E·b·t³), from the load F (N), the length L (mm), the number of leaves n, the modulus of elasticity E (MPa), the width b (mm) and the thickness t (mm); the result is in mm. The deflection measures how much the spring yields under load and defines the suspension's comfort and travel. It grows with the cube of the length (long springs are soft) and falls with the cube of the thickness and the number of leaves (more leaves stiffen it). It is a critical design parameter: excessive deflection bottoms out on the stops, too little transmits impacts. Enter the load, the length, the number of leaves, the modulus, the width and the thickness.
Leaf Spring Rate
Computes the rate of a leaf spring, k = n·E·b·t³/(6·L³), from the number of leaves n, the modulus of elasticity E (MPa), the width b (mm), the thickness t (mm) and the length L (mm); the result is in N/mm. The rate is the load-to-deflection ratio (k = F/δ) and defines the suspension's stiffness: the higher k, the harder the spring. It grows with the number of leaves, the width and the cube of the thickness, and falls strongly with the cube of the length. Tuning the rate is the heart of suspension design — it balances comfort (low rate) with load capacity and stability (high rate). Enter the number of leaves, the modulus, the width, the thickness and the length.
Leaf Spring Leaf Count
Computes the number of leaves needed in a spring pack, n = 6·F·L/(σ_allow·b·t²), from the load F (N), the length L (mm), the allowable stress σ_allow (MPa), the width b (mm) and the thickness t (mm). It is the inverse of the stress calculation: given the load, the leaf geometry and the spring steel's allowable stress, it yields how many stacked leaves are needed so the stress does not exceed the limit. The result must be rounded up. More leaves reduce stress and deflection, at the cost of weight, inter-leaf friction and cost. It is the central step in designing a leaf-pack suspension. Enter the load, the length, the allowable stress, the width and the thickness.
Leaf Spring Length
Computes the maximum length of a leaf spring limited by the allowable stress, L = σ_allow·n·b·t²/(6·F), from the allowable stress σ_allow (MPa), the number of leaves n, the width b (mm), the thickness t (mm) and the load F (N); the result is in mm. It is the inverse of the stress calculation: given the load, the pack geometry and the allowable stress, it yields the greatest length the spring can have without exceeding the stress limit. Longer lengths make the spring softer (lower rate, larger deflection) but raise the bending stress — hence the limit. It is a packaging and suspension-stiffness tuning parameter. Enter the allowable stress, the number of leaves, the width, the thickness and the load.
Rivet Shear Stress
Computes the shear stress in a rivet under single shear, τ = 4·F/(π·d²), from the applied load F (N) and the rivet diameter d (mm); the result is in MPa. The load that tends to slide one plate over the other is resisted by the rivet's cross-section (π·d²/4) in shear. This is the first of the three failure modes of a riveted joint (rivet shear, bearing crushing and plate tearing). The obtained stress is compared with the rivet material's allowable shear stress. For double shear (two resisting sections), the stress is halved. Enter the load and the rivet diameter.
Rivet Bearing Stress
Computes the bearing (crushing) stress between the rivet and the plate, σ_b = F/(d·t), from the applied load F (N), the rivet diameter d (mm) and the plate thickness t (mm); the result is in MPa. Bearing occurs on the contact surface between the rivet body and the hole wall — the bearing area is projected as d·t (diameter times thickness). If the contact pressure exceeds the allowable, the hole ovalises or the rivet deforms. It is the second failure mode of the riveted joint and often the most critical in thin plates. The obtained stress is compared with the material's allowable bearing stress. Enter the load, the diameter and the plate thickness.
Plate Tearing Stress
Computes the tensile stress in the net section of the plate between rivet holes, σ_t = F/((p − d)·t), from the applied load F (N), the rivet pitch p (mm), the hole diameter d (mm) and the plate thickness t (mm); the result is in MPa. The hole reduces the plate's resisting width from p to (p − d); the load crosses this net section in tension and can tear it. It is the third failure mode of the riveted joint. The computed stress is compared with the plate's allowable tensile stress. Very close holes (small pitch) or large diameters raise this stress and weaken the joint. Enter the load, the pitch, the diameter and the thickness.
Rivet Allowable Shear Load
Computes the allowable load of a rivet in single shear, P = τ_allow·π·d²/4, from the allowable shear stress τ_allow (MPa) and the rivet diameter d (mm); the result is in N. It is the direct way to obtain a rivet's resistance to sliding: the allowable stress is multiplied by the cross-section area. This value is one of the three capacities compared (shear, bearing, tearing) to find the joint's governing failure mode. The least of the three is the joint's effective strength per rivet. For double shear, this capacity is doubled. Enter the allowable stress and the rivet diameter.
Rivet Allowable Bearing Load
Computes the allowable bearing load of a rivet, P = σ_allow·d·t, from the allowable bearing stress σ_allow (MPa), the rivet diameter d (mm) and the plate thickness t (mm); the result is in N. Multiplying the allowable bearing stress by the projected bearing area (d·t) gives the force the rivet-hole contact withstands without deforming. It is the second of the three capacities compared in riveted-joint design. In thin plates, it is usually the smallest of the three and therefore governs the joint. Enter the allowable stress, the diameter and the plate thickness.
Plate Allowable Tearing Load
Computes the allowable tearing load of the plate between holes, P = σ_allow·(p − d)·t, from the allowable tensile stress σ_allow (MPa), the rivet pitch p (mm), the hole diameter d (mm) and the plate thickness t (mm); the result is in N. Multiplying the allowable tensile stress by the net section area ((p − d)·t) gives the force the hole-perforated plate withstands without tearing. It is the third of the three capacities compared to find the governing failure mode. The least among shear, bearing and tearing defines the joint's strength. Enter the allowable stress, the pitch, the diameter and the thickness.
Riveted Joint Efficiency
Computes the efficiency of a riveted joint, η = P_joint/P_plate·100, from the joint strength P_joint (N) — the least among the shear, bearing and tearing capacities — and the solid unperforated plate strength P_plate (N). The efficiency expresses how much of the plate's original strength is preserved after drilling and riveting; holes weaken the material, so η is always less than 100%. Well-designed riveted joints reach 70% to 85% efficiency. It is the key quality indicator of a joint: it guides the choice of pitch, diameter and number of rivet rows. Enter the joint strength and the solid plate strength.
Rivet Count for Joint
Computes the number of rivets needed in a joint, n = F/P_rivet, from the total applied load F (N) and the allowable capacity per rivet P_rivet (N) — the least between the shear and bearing strengths. Dividing the total load by one rivet's capacity gives how many rivets are needed to transmit the effort safely; the result must be rounded up. This number guides the joint layout (one or several rows) and, together with the minimum pitch, the required plate width. Undersizing the rivet count overloads each one and leads to progressive failure. Enter the total load and the per-rivet capacity.
Rivet Diameter (Unwin's Formula)
Computes the recommended nominal rivet diameter from Unwin's empirical formula, d = 6·√t, from the plate thickness t (mm); the result is in mm. Unwin established this practical relationship for riveted boiler and structural joints with plates of thickness equal to or greater than about 8 mm — the rivet diameter grows with the square root of the thickness. It provides a quick design starting point, then rounded to the nearest commercial diameter and checked against the three failure modes. For thin plates, smaller diameters than the formula gives are used. Enter the plate thickness.
Minimum Rivet Pitch
Computes the minimum pitch between rivets so the plate's net section resists the load, p = d + F/(σ_allow·t), from the hole diameter d (mm), the load per pitch F (N), the plate's allowable tensile stress σ_allow (MPa) and the thickness t (mm); the result is in mm. The pitch must be large enough for the net width (p − d) to carry the tension without tearing — isolating p from the tearing condition gives the minimum value. In practice, the pitch also respects minimum limits (around 3·d, for tightness and driving) and maximums (to avoid plate buckling between rivets). Enter the diameter, the load, the allowable stress and the thickness.
Alternating Stress (Amplitude)
Computes the alternating stress (amplitude of the cyclic component) of a fatigue loading, σ_a = (σ_max − σ_min)/2, from the maximum stress σ_max (MPa) and the minimum stress σ_min (MPa) of the cycle; the result is in MPa. The alternating stress is half the cycle's range and is the quantity that governs fatigue damage — the larger the amplitude, the faster the part accumulates damage and the shorter its life. Together with the mean stress, it defines the working point in the Goodman, Soderberg and Gerber criteria. It is the first parameter to compute when analysing any component under fluctuating load. Enter the cycle's maximum and minimum stresses.
Mean Stress (Fatigue)
Computes the mean stress of a fatigue loading, σ_m = (σ_max + σ_min)/2, from the maximum stress σ_max (MPa) and the minimum stress σ_min (MPa) of the cycle; the result is in MPa. The mean stress represents the constant level about which the stress oscillates. Although the alternating amplitude is the main cause of damage, a high tensile mean stress significantly reduces fatigue life (opens microcracks), while a compressive mean improves it. That is why fatigue criteria combine σ_a and σ_m in a diagram: the point (σ_m, σ_a) is compared with the Goodman, Soderberg or Gerber failure line. Enter the cycle's maximum and minimum stresses.
Stress Ratio (Fatigue)
Computes the stress ratio of a fatigue cycle, R = σ_min/σ_max, from the minimum stress σ_min (MPa) and the maximum σ_max (MPa); the result is dimensionless. The R ratio characterises the cycle type: R = −1 is fully reversed (zero mean, the base case of fatigue tests), R = 0 is repeated (starts from zero, σ_min = 0) and R = 1 would be static load. Knowing R allows classifying the loading and converting fatigue data obtained at one ratio to another. It is a standardised parameter in test reports and in specifications of cyclic components such as springs, shafts and welded structures. Enter the cycle's minimum and maximum stresses.
Estimated Endurance Limit (Se′)
Estimates the uncorrected fatigue endurance limit of a steel, Se′ = 0.5·S_ut for S_ut ≤ 1400 MPa (and Se′ = 700 MPa above that), from the ultimate tensile strength S_ut (MPa); the result is in MPa. This empirical correlation, the basis of Marin's method, gives the fatigue limit of a standard polished specimen from just the material's tensile strength — useful when no fatigue test data exist. For low- and medium-strength steels, the fatigue limit is about half the tensile strength; above 1400 MPa the relationship saturates at 700 MPa. This value is then corrected by the Marin factors. Enter the ultimate tensile strength.
Marin Surface Factor (ka)
Computes the Marin surface modification factor, k_a = a·S_ut^b, from the coefficients a and b (which depend on the finish) and the ultimate tensile strength S_ut (MPa); the result is dimensionless. Surface finish strongly affects fatigue life because scratches and irregularities act as stress raisers where cracks nucleate. The coefficients a and b are tabulated by finish type (ground: a = 1.58, b = −0.085; machined: a = 4.51, b = −0.265; hot-rolled: a = 57.7, b = −0.718, with S_ut in MPa). The rougher the surface, the lower the factor and the more severe the reduction of the fatigue limit. Enter the coefficients a, b and S_ut.
Corrected Endurance Limit (Marin)
Computes the corrected fatigue endurance limit using Marin's equation, Se = k_a·k_b·k_c·Se′, from the surface factor k_a, the size factor k_b, the loading factor k_c and the uncorrected endurance limit Se′ (MPa); the result is in MPa. The laboratory fatigue limit (Se′, from a polished specimen) is adjusted by factors reflecting the part's real conditions: surface finish, size (larger parts have more volume under stress), loading type (bending, axial, torsion) and others. The product gives the component's effective fatigue limit, used in the failure criteria. Enter the three factors and Se′.
Goodman Safety Factor
Computes the fatigue safety factor by the modified Goodman criterion, n = 1/(σ_a/Se + σ_m/S_ut), from the alternating stress σ_a (MPa), the mean stress σ_m (MPa), the corrected endurance limit Se (MPa) and the tensile strength S_ut (MPa). The Goodman line joins the fatigue limit (on the alternating axis) to the tensile strength (on the mean axis); the criterion is the most used in design for being conservative and simple. The working point (σ_m, σ_a) divided by the line gives the safety factor: n > 1 means infinite life with margin. It is the central verification calculation for shafts, springs and components under fluctuating load. Enter σ_a, σ_m, Se and S_ut.
Soderberg Safety Factor
Computes the fatigue safety factor by the Soderberg criterion, n = 1/(σ_a/Se + σ_m/S_y), from the alternating stress σ_a (MPa), the mean stress σ_m (MPa), the corrected endurance limit Se (MPa) and the yield strength S_y (MPa). Soderberg is the most conservative criterion: it uses the yield strength (instead of Goodman's tensile strength) on the mean-stress axis, ensuring the part neither yields nor fails by fatigue. It therefore also protects against plastic deformation, at the cost of more robust sizing. It is preferred when local yielding is unacceptable. The point (σ_m, σ_a) on the Soderberg line gives the safety margin. Enter σ_a, σ_m, Se and S_y.
Gerber Safety Factor
Computes the fatigue safety factor by the Gerber (parabolic) criterion, n = ½·(S_ut/σ_m)²·(σ_a/Se)·[−1 + √(1 + (2·σ_m·Se/(S_ut·σ_a))²)], from the alternating stress σ_a (MPa), the mean stress σ_m (MPa), the corrected endurance limit Se (MPa) and the tensile strength S_ut (MPa). The Gerber line is a parabola passing through the same endpoints as Goodman but fitting real experimental data better — it lies above the Goodman line, being less conservative. It therefore gives larger safety factors for the same condition, suitable when an optimised design with reliable data is sought. Enter σ_a, σ_m, Se and S_ut.
Fatigue Stress Concentration Factor (Kf)
Computes the fatigue stress concentration factor, K_f = 1 + q·(K_t − 1), from the notch sensitivity factor q (dimensionless, between 0 and 1) and the theoretical (geometric) stress concentration factor K_t. While K_t is the purely geometric elastic factor of a notch, hole or fillet, not all materials respond with the same intensity to the notch under cyclic load — the sensitivity q measures that response. Ductile, low-strength materials have a lower q (less damaging notch), while high-strength steels have q near 1. The resulting K_f is the factor that effectively multiplies the nominal stress in the fatigue calculation. Enter the sensitivity q and the K_t factor.
Weld Throat Area
Computes the resisting throat area of a fillet weld bead, A = 0.707·h·L, from the fillet leg h (mm) and the bead length L (mm); the result is in mm². In a fillet weld, the section that effectively resists the load is not the leg but the throat — the plane of least thickness, inclined at 45°, whose width is 0.707 times the leg (for equal-leg fillets). Multiplying this throat thickness by the bead length gives the area by which the load is divided to find the stress. It is the first step in sizing any welded joint. Enter the fillet leg and the bead length.
Fillet Weld Shear Stress
Computes the direct shear stress in a fillet weld bead, τ = F/(0.707·h·L), from the applied load F (N), the fillet leg h (mm) and the bead length L (mm); the result is in MPa. The load is divided by the throat area (0.707·h·L), the effective failure plane inclined at 45°. This is the simplest loading case — a force parallel or transverse to the bead, treated conservatively as pure shear in the throat. The computed stress is compared with the allowable stress of the weld metal (which depends on the electrode and the safety factor) to check the joint. Enter the load, the leg and the bead length.
Butt Weld Stress
Computes the normal stress (tension or compression) in a full-penetration butt weld, σ = F/(h·L), from the applied load F (N), the throat thickness h (mm) — equal to the plate thickness in full penetration — and the bead length L (mm); the result is in MPa. Unlike a fillet, a full-penetration butt weld has a throat equal to the plate thickness and works directly in tension, without the 0.707 factor. The resisting area is simply h·L. When properly made and inspected, the butt joint is as strong as the base metal, which is why it is preferred in pressure vessels and critical structures. Enter the load, the thickness and the bead length.
Required Weld Length
Computes the fillet bead length needed to carry a load, L = F/(0.707·h·τ_allow), from the applied load F (N), the fillet leg h (mm) and the allowable weld-metal stress τ_allow (MPa); the result is in mm. It is the inverse of the stress calculation: given the load and the available leg, it yields how much bead must be deposited so the stress does not exceed the allowable. This value guides the designer in distributing the weld (one or two sides, continuous or intermittent) and in checking whether it fits the part geometry. Very large lengths indicate the fillet leg should be increased. Enter the load, the leg and the allowable stress.
Required Fillet Weld Leg
Computes the fillet weld leg needed to carry a load, h = F/(0.707·L·τ_allow), from the applied load F (N), the available bead length L (mm) and the allowable weld-metal stress τ_allow (MPa); the result is in mm. It is the inverse form that sizes the fillet when the length is already set by the joint geometry. The obtained value should be rounded up to the next commercial leg and checked against the minimum-leg (a function of plate thickness) and maximum-leg limits of the welding codes. Very large legs raise the weld cost and introduce thermal distortion. Enter the load, the length and the allowable stress.
Weld Allowable Load
Computes the allowable load of a fillet weld bead, F = 0.707·h·L·τ_allow, from the fillet leg h (mm), the bead length L (mm) and the allowable weld-metal stress τ_allow (MPa); the result is in N. Multiplying the throat area (0.707·h·L) by the allowable stress gives the maximum force the welded joint can safely carry. It is the direct verification calculation: the design load is compared with this capacity to confirm the existing bead is adequate. Also useful to quickly assess the margin of an already-made weld against a new load. Enter the leg, the length and the allowable stress.
Weld Bending Stress
Computes the bending stress in a fillet weld bead under a bending moment, σ = 6·M/(0.707·h·L²), from the bending moment M (N·mm), the fillet leg h (mm) and the bead length L (mm); the result is in MPa. When the welded joint receives a moment (eccentric load, cantilever beam), the stress is not uniform: it grows linearly to a maximum at the ends of the bead. The section modulus of the rectangular throat is 0.707·h·L²/6, and the maximum stress is the moment divided by this modulus. This value combines vectorially with the direct shear to obtain the resultant design stress. Enter the moment, the leg and the bead length.
Weld Combined Stress
Computes the combined (resultant) stress in a weld bead, τ = √(τ′² + τ″²), from the primary direct-shear stress τ′ (MPa) and the secondary stress τ″ (MPa) arising from bending or torsion. In eccentrically loaded welded joints, the bead undergoes both the direct shear of the load (primary component) and the shear generated by the moment (secondary component); as they act on perpendicular planes in the throat, they add vectorially by the square root of the sum of squares. This resultant stress is the one compared with the allowable to check the joint's safety. It is the final step of Shigley's weld calculation method. Enter the primary and secondary stresses.
Weld Safety Factor
Computes the safety factor of a weld bead by the distortion-energy criterion, n = 0.577·S_y/τ, from the weld metal's yield strength S_y (MPa) and the applied shear stress τ (MPa). By the distortion-energy theory (von Mises), the yield strength under pure shear is 0.577 times the tensile yield strength; dividing this shear strength by the acting stress gives the joint's safety margin. Typical design values range from 1.5 to 3, depending on criticality and loading (static or dynamic). A factor below 1 indicates imminent bead failure. Enter the yield strength and the applied stress.
Weld Strength per Millimetre
Computes the allowable strength of a fillet weld bead per unit length, f = 0.707·h·τ_allow, from the fillet leg h (mm) and the allowable weld-metal stress τ_allow (MPa); the result is in N/mm. This value — the force each millimetre of bead carries — is a very practical design constant: knowing the per-millimetre strength of a fillet of given leg, one simply divides the total load by the value to obtain the required length, or multiplies it by the available length to obtain the capacity. Strength-per-unit-length tables (by leg and by electrode) speed up the sizing of welded joints. Enter the fillet leg and the allowable stress.
Pump Theoretical Flow (Displacement)
Computes the theoretical flow of a positive-displacement hydraulic pump, Q = V_g·n/1000, from the displacement V_g (cm³/rev) and the speed n (rpm); the result is in L/min. In a volumetric pump, each revolution displaces a fixed volume of oil, so the flow is simply the displacement times the speed. This is the starting point for designing any hydraulic circuit: it sets the actuator speeds and the reservoir size. The actual flow is slightly lower due to internal leakage (volumetric efficiency). Enter the pump displacement and speed.
Pump Volumetric Efficiency
Computes the volumetric efficiency of a hydraulic pump, η_v = Q_real/(V_g·n/1000)·100, from the measured actual flow Q_real (L/min), the displacement V_g (cm³/rev) and the speed n (rpm); the result is in %. Volumetric efficiency compares the flow actually delivered with the theoretical and quantifies the internal leakage losses (clearances, oil slipping from high to low pressure). New pumps have a typical η_v of 90–98%; falling values indicate wear and efficiency loss. It is a key parameter for predictive maintenance and for computing the actual power. Enter the actual flow, the displacement and the speed.
Pump Theoretical Torque
Computes the theoretical torque needed to drive a hydraulic pump, T = V_g·Δp/(20π), from the displacement V_g (cm³/rev) and the pressure difference Δp (bar); the result is in N·m. The pump shaft torque is proportional to the product of displacement and working pressure — the higher the pressure the pump must overcome, the greater the effort on the driving motor's shaft. The constant 20π converts the units of cm³ and bar to N·m. The actual torque is higher than the theoretical due to mechanical efficiency (internal friction). This value sizes the driving electric or combustion motor. Enter the displacement and the pressure difference.
Pump Drive Power
Computes the drive (shaft) power of a hydraulic pump, P = Δp·Q/(600·η_t), from the pressure difference Δp (bar), the flow Q (L/min) and the total efficiency η_t (decimal); the result is in kW. The useful hydraulic power (Δp·Q) is divided by the pump's total efficiency (the product of volumetric and mechanical efficiencies) to obtain the power the driving motor must supply at the shaft. The constant 600 converts bar and L/min to kW. This is the value that sizes the electric motor and estimates the energy consumption of the hydraulic power unit. Enter the pressure, the flow and the total efficiency.
Hydraulic Motor Speed
Computes the speed of a hydraulic motor, n = Q·1000/V_g, from the supplied oil flow Q (L/min) and the displacement V_g (cm³/rev); the result is in rpm. A hydraulic motor is the inverse of a pump: it receives pressurised oil and converts it into rotation. The output speed is the flow divided by the displacement — for the same motor, doubling the flow doubles the speed. This calculation sets the speed of rotary drives such as winches, conveyors, fans and the traction of mobile machines. The actual speed is slightly lower due to internal leakage. Enter the flow and the motor displacement.
Hydraulic Motor Torque
Computes the output torque of a hydraulic motor, T = V_g·Δp/(20π)·η_m, from the displacement V_g (cm³/rev), the pressure difference Δp (bar) and the mechanical efficiency η_m (decimal); the result is in N·m. The torque the motor delivers at the shaft is proportional to the displacement and the pressure drop across it, reduced by the mechanical efficiency (friction losses). Unlike speed (which depends on flow), torque depends on pressure — which is why hydraulic motors deliver very high torque at low speed, ideal for direct drives without a reducer. The constant 20π converts cm³ and bar to N·m. Enter the displacement, the pressure and the mechanical efficiency.
Hydraulic Motor Displacement
Computes the displacement needed for a hydraulic motor, V_g = Q·1000/n, from the available flow Q (L/min) and the desired speed n (rpm); the result is in cm³/rev. It is the inverse of the speed calculation: given the output speed the application requires and the known pump flow, it yields the displacement of the motor to select from the catalogue. Larger-displacement motors turn slower but deliver more torque at the same pressure — the choice balances speed and torque. This is the central step in selecting a hydraulic motor for a drive. Enter the flow and the desired speed.
Control Valve Flow (Kv)
Computes the flow through a control valve, Q = Kv·√(Δp/SG), from the valve's flow coefficient Kv, the pressure drop Δp (bar) and the fluid's relative density SG (dimensionless); the result is in m³/h. The Kv coefficient is defined as the water flow (SG = 1) in m³/h that produces a 1 bar pressure drop across the fully open valve — it is the catalogue parameter characterising each valve's hydraulic capacity. The square-root relationship shows that doubling the flow requires quadrupling the pressure drop. Used to check whether a valve meets the process flow. Enter the Kv, the pressure drop and the relative density.
Control Valve Pressure Drop
Computes the pressure drop across a control valve, Δp = (Q/Kv)²·SG, from the flow Q (m³/h), the valve's flow coefficient Kv and the relative density SG (dimensionless); the result is in bar. It is the inverse of the flow equation: given the process flow that must pass through the valve and its Kv, it yields the head loss the valve imposes on the line. This pressure drop consumes pump energy and must be added to the circuit's other losses to size the system. The quadratic relationship shows that undersized valves (low Kv) generate rapidly growing head losses. Enter the flow, the Kv and the relative density.
Hydraulic Accumulator Volume
Computes the gas volume (size) needed for a bladder hydraulic accumulator using Boyle's law (isothermal), V_0 = ΔV/(P_0/P_1 − P_0/P_2), from the usable oil volume ΔV (L), the precharge pressure P_0 (bar abs), the minimum working pressure P_1 (bar abs) and the maximum pressure P_2 (bar abs). The accumulator stores energy by compressing gas (nitrogen); the usable oil volume it delivers between the working pressures depends on the gas compression between P_1 and P_2 from the precharge P_0. This formula sizes the accumulator for energy reserve, pulse damping or leakage compensation. Enter the usable volume and the three pressures.
Hydraulic Cylinder Retract Force
Computes the retract (pull) force of a double-acting hydraulic cylinder, F = p·π(D² − d²)/4, from the working pressure p (bar), the bore diameter D (mm) and the rod diameter d (mm); the result is in N. On the retract stroke, oil pressurises the rod side, where the effective area is the annular ring (bore area minus rod area) — so the retract force is always smaller than the extend force at the same pressure. This asymmetry is fundamental when sizing presses, actuators and clamping systems, where the pull effort must overcome friction and return loads. Enter the pressure, the bore diameter and the rod diameter.
Hydraulic Cylinder Extend Speed
Computes the extend speed of a hydraulic cylinder, v = Q / A_bore, from the oil flow Q (L/min) and the bore diameter D (mm), with the bore area A = π·D²/4; the result is in m/min. On extension, all the pumped oil enters the bore side (full area), so the piston speed is the flow divided by that area. It is the basic calculation for sizing a hydraulic machine's cycle time: to speed up extension, the pump flow is increased or the diameter reduced. Typical industrial actuator speeds are between 3 and 30 m/min. Enter the flow and the bore diameter.
Hydraulic Cylinder Retract Speed
Computes the retract speed of a hydraulic cylinder, v = Q / A_annulus, from the oil flow Q (L/min), the bore diameter D (mm) and the rod diameter d (mm), with the annular area A = π(D² − d²)/4; the result is in m/min. On retraction, oil enters the rod side, whose area (annular ring) is smaller than the bore — so at the same flow the cylinder retracts faster than it extends. This speed difference is exploited in rapid-approach cycles and must be considered when sizing the return flow to the reservoir. Enter the flow, the bore diameter and the rod diameter.
Hydraulic Cylinder Speed Ratio
Computes the speed ratio (φ ratio) of a double-acting hydraulic cylinder, φ = D²/(D² − d²), from the bore diameter D (mm) and the rod diameter d (mm). This dimensionless ratio equals the ratio of retract to extend speed (and also of bore to annular area) — it quantifies how much faster the cylinder retracts than extends at the same flow. Cylinders with a thin rod have φ near 1 (almost symmetric motion); thick rods raise φ. The φ ratio is a manufacturer catalogue parameter and defines the cylinder's compatibility with regenerative circuits and valves. Enter the bore diameter and the rod diameter.
Hydraulic Cylinder Extend Flow
Computes the oil flow needed to move a hydraulic cylinder at a given extend speed, Q = A_bore · v, from the bore diameter D (mm) and the desired speed v (m/min), with the area A = π·D²/4; the result is in L/min. It is the inverse of the speed calculation: given the extend speed the application requires, it is multiplied by the bore area to obtain the flow the pump must supply. This value sizes the pump, valves and piping of the system — higher flows demand larger components and more power. Enter the bore diameter and the extend speed.
Hydraulic Cylinder Extend Time
Computes the extend time of a hydraulic cylinder, t = (A_bore · stroke) / Q, from the bore diameter D (mm), the stroke (mm) and the oil flow Q (L/min); the result is in seconds. The volume to be filled on the bore side (area × stroke) divided by the supplied flow gives the time the piston takes to travel the full stroke. It is the essential figure for estimating the cycle time of a press, injection machine or clamping device and for synchronising movements in a machine. Reducing the extend time requires more flow (a larger pump) or a smaller diameter. Enter the bore diameter, the stroke and the flow.
Hydraulic Cylinder Required Pressure
Computes the working pressure a hydraulic cylinder needs to produce a desired extend force, p = F / A_bore, from the force F (N) and the bore diameter D (mm), with the area A = π·D²/4; the result is in bar. It is the inverse of the force calculation: given the load the actuator must overcome, it is divided by the bore area to obtain the pressure the pump and relief valve must guarantee. This value is compared with the system's maximum pressure (typically 160 to 350 bar in industrial hydraulics) to check feasibility — if it exceeds, a larger-bore cylinder is needed. Enter the force and the bore diameter.
Pneumatic Cylinder Air Consumption
Computes the air consumption of a pneumatic cylinder per extend stroke, in normal litres (NL), V = (π·D²/4)·stroke·(p_gauge + 1.013)/1.013, from the bore diameter D (mm), the stroke (mm) and the gauge working pressure p_gauge (bar). The cylinder's geometric volume is multiplied by the compression ratio (absolute working pressure divided by the atmospheric pressure of 1.013 bar) to convert the compressed air consumed into the equivalent volume at normal conditions (FAD). This value is the basis for sizing the compressor and estimating the energy cost of compressed air — often the most expensive utility in a factory. Enter the bore, the stroke and the working pressure.
Cylinder Rod-Side Outflow
Computes the oil flow expelled from the rod side during the extension of a hydraulic cylinder, Q_out = Q_in·(D² − d²)/D², from the inlet flow Q_in (L/min), the bore diameter D (mm) and the rod diameter d (mm). As the piston extends, the rod-side oil is pushed back to the reservoir; since the annular area is smaller than the bore, this return flow is proportionally lower than the inlet. Knowing this value is essential for sizing the return lines, filters and circuit back-pressure, avoiding restrictions that would reduce the actuator's speed. Enter the inlet flow, the bore diameter and the rod diameter.
Regenerative Extend Speed
Computes the extend speed of a hydraulic cylinder in a regenerative (differential) circuit, v = Q / A_rod, from the pump flow Q (L/min) and the rod diameter d (mm), with the rod area A = π·d²/4. In a regenerative circuit, the oil expelled from the rod side is fed back to the bore side, adding to the pump flow; the result is that only the rod area (not the bore) limits the speed — the cylinder extends much faster with the same pump, at the cost of lower available force. It is a classic technique to speed up the approach in presses and injection machines without enlarging the pump. Enter the flow and the rod diameter.
Planetary Ring Gear Teeth
Computes the number of teeth on the internal ring (annulus) gear of a planetary gear train from the coaxiality condition, N_ring = N_sun + 2·N_planet, given the sun teeth N_sun and the planet teeth N_planet. This relationship ensures that the sun, ring and carrier axes are concentric — the fundamental geometric constraint of any standard epicyclic mesh (equal module on all gears). The sun and ring rotate about the same central axis, and the planets, mounted on the carrier, mesh with both simultaneously. Unless this equation holds, the gears simply do not fit. Enter the sun and planet teeth.
Planetary Planet Gear Teeth
Computes the number of teeth on each planet gear of an epicyclic train from the coaxiality condition, N_planet = (N_ring − N_sun)/2, given the ring teeth N_ring and the sun teeth N_sun. It is the inverse form of the geometric constraint that keeps the sun, ring and carrier concentric: given the central and internal gears, the planet must have exactly half the tooth difference to fill the gap and mesh with both at once. The result must be a whole number — if it is not, the chosen sun/ring combination is unfeasible and the teeth must be adjusted. Enter the ring and sun teeth.
Planetary Ratio (Ring Fixed)
Computes the reduction ratio of a planetary train with the ring (annulus) fixed, input on the sun and output on the carrier, i = 1 + N_ring/N_sun, from the ring teeth N_ring and the sun teeth N_sun. This is the most common planetary reducer configuration: holding the internal ring and driving the sun, the carrier turns in the same direction with speed reduction and torque multiplication. The ratio is always greater than 1 (reduction), typically between 3:1 and 12:1 per stage. Because the load is shared among several planets, this arrangement is compact and handles high torque — the basis of industrial and automotive epicyclic reducers. Enter the ring and sun teeth.
Planetary Ratio (Sun Fixed)
Computes the reduction ratio of a planetary train with the sun fixed, input on the ring and output on the carrier, i = 1 + N_sun/N_ring, from the sun teeth N_sun and the ring teeth N_ring. Holding the central sun and driving the internal ring, the carrier turns in the same direction with a gentle reduction — since N_sun < N_ring, this ratio is always close to 1 (typically 1.1:1 to 1.5:1), giving the smallest reduction possible in a simple planetary stage. It is the configuration used when only a small speed change with high torque capacity is wanted, or as one of the states of an automatic transmission that switches which member is held. Enter the sun and ring teeth.
Planetary Ratio (Carrier Fixed)
Computes the ratio of a planetary train with the carrier fixed, input on the sun and output on the ring, i = −N_ring/N_sun, from the ring teeth N_ring and the sun teeth N_sun. With the arm locked, the assembly behaves like an ordinary gear train: the sun spins the planets about fixed axes, which in turn drive the ring. The negative sign indicates direction reversal — the ring turns opposite to the sun. This configuration delivers the largest speed ratio of the set (in magnitude) and is used when rotation reversal is wanted, or as the reference for Willis's equation (the train's basic ratio). Enter the ring and sun teeth.
Planetary Assembly Condition
Evaluates the assembly (equal-spacing) condition of a planetary train, (N_sun + N_ring)/n_planets, from the sun teeth N_sun, the ring teeth N_ring and the number of planets n_planets. For the planets to be equally spaced around the sun and all mesh correctly, the sum of the sun and ring teeth must be divisible by the number of planets — that is, the result of this calculation must be a whole number. If it is not, the planets cannot be mounted symmetrically, causing imbalance and uneven loads. This test is mandatory when designing epicyclic reducers with 3, 4 or more planets. Enter the sun teeth, the ring teeth and the number of planets.
Planet Carrier Speed
Computes the carrier speed of an epicyclic train with the ring fixed, n_c = n_sun · N_sun/(N_sun + N_ring), from the sun speed n_sun (rpm), the sun teeth N_sun and the ring teeth N_ring. Derived from Willis's equation, this formula gives the output speed when the sun is driven and the internal ring is held — the classic reduction arrangement. The carrier turns in the same direction as the sun but much slower (in the ratio N_sun/(N_sun+N_ring)). It is the basis for computing planetary reducer outputs and automatic-transmission states. Enter the sun speed and the sun and ring teeth.
Maximum Number of Planets
Computes the maximum number of planet gears that fit around the sun without interference between neighbours (neighbouring condition), n_max = π / arcsin[(N_planet + 2)/(N_sun + N_planet)], from the sun teeth N_sun and the planet teeth N_planet. As more planets are added to share the load, they come closer until they nearly touch; this formula (assuming standard addendum) gives the geometric limit. The result must be rounded down — that is the largest whole number of planets that can physically be mounted. More planets mean greater torque capacity and better balance, so designers use the maximum the neighbouring condition allows. Enter the sun and planet teeth.
Planetary Output Torque
Computes the output torque of a planetary reducer, T_out = T_in · i, from the input torque T_in (N·m) and the reduction ratio i (dimensionless). Since power is conserved (neglecting losses), reducing the speed by the ratio i multiplies the torque by the same factor. In a planetary train this multiplication is shared among several planets in parallel, allowing very high torques to be transmitted in a compact package — the advantage that makes epicyclic reducers the choice for wheel hubs, winches, automatic transmissions and heavy drives. The actual output torque is slightly lower due to efficiency (typically 0.97–0.99 per stage). Enter the input torque and the ratio.
Ring Speed (Willis Equation)
Computes the ring (internal gear) speed of an epicyclic train using Willis's general equation, n_ring = n_c·(1 + N_sun/N_ring) − n_sun·(N_sun/N_ring), from the carrier speed n_c (rpm), the sun speed n_sun (rpm), the sun teeth N_sun and the ring teeth N_ring. This is the complete kinematic relationship of the planetary, valid when two members rotate freely (none fixed) — as in automotive differentials and power-split transmissions (CVT, hybrids). Knowing the speeds of two members, the equation gives the third. If the result is zero, the ring is effectively stationary (the ring-fixed case). Enter the carrier and sun speeds and the sun and ring teeth.
Average Bearing Pressure
Computes the average pressure (projected unit load) on a radial sliding bearing, P = W / (L·D), from the radial load W (N), the bearing length L (mm) and the journal diameter D (mm); the result is in MPa. The product L·D is the projected bearing area — the load is divided by this area to obtain the design pressure, a central parameter in hydrodynamic bearing sizing. Typical values range from 1 to 10 MPa depending on the application (engine bearings, gearboxes, turbines). Excessive pressure compromises the oil film and accelerates wear. Enter the load, the length and the diameter.
Bearing Length-Diameter Ratio
Computes the length-to-diameter ratio of a sliding bearing, L/D, from the length L (mm) and the journal diameter D (mm); the result is dimensionless. This ratio defines the bearing geometry and directly influences load capacity, side oil leakage and temperature rise. Long bearings (L/D > 1) leak less oil at the ends and carry more load per area but demand better alignment; short bearings (L/D < 0.5) dissipate heat more easily. The usual design range is 0.5 to 1.5, with L/D ≈ 1 a very common compromise. Enter the length and the diameter.
Petroff Friction Coefficient
Computes the friction coefficient of a sliding bearing using Petroff's equation, f = 2·π²·(μ·N/P)·(r/c), valid for an unloaded (concentric) bearing, from the absolute viscosity μ (Pa·s), the speed N (rev/s), the average pressure P (Pa), the journal radius r (mm) and the radial clearance c (mm); the result is dimensionless. Petroff's equation is the classic approximation of viscous friction in the oil film: the term μN/P is the dimensionless number governing lubrication and r/c is the radius-clearance ratio (typically ~1000). It gives a good friction estimate even for moderately loaded bearings. Enter the viscosity, speed, pressure, radius and clearance.
Minimum Oil Film Thickness
Computes the minimum oil film thickness in a hydrodynamic bearing, h₀ = c·(1 − ε), from the radial clearance c (µm) and the eccentricity ratio ε (dimensionless, between 0 and 1); the result is in µm. The eccentricity ratio ε = e/c measures how far the journal shifts inside the bearing under load: ε = 0 is concentric (no load) and ε → 1 means imminent contact. The minimum thickness h₀ occurs at the point of closest approach and must exceed the sum of the surface roughnesses to ensure full hydrodynamic lubrication (continuous film, no metal-to-metal contact). Enter the radial clearance and the eccentricity ratio.
Journal Surface Speed
Computes the peripheral (tangential) surface speed of a bearing journal, U = π·D·N, from the diameter D (mm) and the speed N (rev/s); the result is in m/s (with D converted to metres). This is the oil entrainment speed at the journal-bearing interface — it generates the hydrodynamic pressure wedge that supports the load. Higher surface speeds increase the film's load capacity but also raise viscous friction and heat generation. It is an essential input for the oil-film Reynolds number and for checking the laminar lubrication regime. Enter the diameter and the speed.
Mean Oil Film Temperature
Computes the mean oil film temperature in a bearing, T_f = T_i + ΔT/2, from the oil inlet temperature T_i (°C) and the temperature rise ΔT (°C) across the bearing; the result is in °C. Because the oil heats up as it passes through the bearing (absorbing the friction heat), the effective viscosity must be evaluated at the average temperature between inlet and outlet — not at the inlet temperature. This mean temperature is used to read the viscosity from the oil's curve and close the iterative design loop (viscosity depends on temperature, which depends on friction, which depends on viscosity). Enter the inlet temperature and the rise.
Bearing Cooling Oil Flow
Computes the oil flow rate needed to carry away a bearing's friction heat by thermal balance, Q = P / (ρ·c_p·ΔT), from the dissipated friction power P (W), the oil density ρ (kg/m³), the specific heat c_p (J/kg·K) and the allowed temperature rise ΔT (°C); the result is converted to L/s. The principle is that all the heat generated by viscous friction must be carried out by the oil flow, limiting the temperature rise to a safe value. Higher flows keep the bearing cooler (preserving viscosity and load capacity) but require a larger pump and cooler. Enter the power, density, specific heat and rise.
Oil Film Reynolds Number
Computes the Reynolds number of the oil film in a sliding bearing, Re = ρ·U·c / μ, from the oil density ρ (kg/m³), the journal surface speed U (m/s), the radial clearance c (mm) and the absolute viscosity μ (Pa·s); the result is dimensionless. This Reynolds uses the radial clearance as the characteristic length and indicates the flow regime in the film. Classic hydrodynamic theory (Reynolds lubrication equation) assumes laminar flow — valid for Re below ~1000 to 2000. Above that, turbulent flow (and Taylor vortices) appears, altering friction and load capacity and requiring corrections. Enter the density, speed, clearance and viscosity.
Allowable Bearing Load
Computes the allowable radial load on a sliding bearing, W = p·L·D, from the allowable design pressure p (MPa), the bearing length L (mm) and the journal diameter D (mm); the result is in N. It is the inverse form of the average pressure: given the pressure limit tolerated by the liner material (bronze, babbitt, polymer) and the application, it is multiplied by the projected area L·D to obtain the maximum load the bearing can safely carry. The allowable pressure ranges from about 1 MPa (light bronze bearings) to over 30 MPa (engine connecting rods). Useful to quickly check whether an existing bearing withstands a given load. Enter the allowable pressure, length and diameter.
Bearing Clearance Ratio
Computes the clearance ratio of a sliding bearing, ψ = (c/r)·1000, expressed in per mil (‰), from the radial clearance c (mm) and the journal radius r (mm). The clearance ratio c/r is a fundamental design parameter: it defines the geometric relationship between the oil-film clearance and the journal size and appears directly in Petroff's equation and the Sommerfeld number. Typical values are around 0.001 (or 1‰), varying with speed, load and manufacturing precision. Too small a clearance hinders oil entry and raises temperature; too large reduces load capacity and increases leakage. Enter the radial clearance and the journal radius.
Fluid Wave Speed
Computes the celerity (propagation speed) of a pressure wave in a fluid, a = √(K / ρ), from the fluid's bulk modulus K (Pa) and the density ρ (kg/m³); the result is in m/s. This is the speed at which a pressure disturbance (a wave) propagates in a fluid — physically, it is the SPEED OF SOUND in the liquid. It depends on two fluid properties: the bulk modulus K (measuring the fluid's resistance to compression — 'stiffer' fluids propagate waves faster) and the density ρ (denser fluids propagate slower). For WATER, with K ≈ 2.2 GPa and ρ = 1000 kg/m³, the celerity is about 1480 m/s — much faster than in air (~340 m/s), because water is much less compressible. This celerity is the starting point for studying WATER HAMMER (hydraulic transient): when a valve is closed abruptly in a pipe, the moving liquid column is decelerated, generating a pressure wave that propagates along the pipe at precisely this speed. HOWEVER, in a real pipe, the effective celerity is LOWER than this, because the WALL elasticity (which deforms under pressure) 'dampens' the propagation — this effect is accounted for by Korteweg's formula. This celerity in the infinite fluid is the upper theoretical limit. Enter the bulk modulus and the density.
Korteweg Wave Speed
Computes the pressure-wave celerity in an elastic pipe, by Korteweg's formula, a = √(K/ρ) / √(1 + (K·D)/(E·e)), from the fluid bulk modulus K (Pa), the density ρ (kg/m³), the pipe internal diameter D (m), the pipe material elastic modulus E (Pa) and the wall thickness e (m); the result is in m/s. In a REAL pipe, the pressure-wave propagation speed (celerity) is LOWER than the speed of sound in the infinite fluid, because the pipe WALL is NOT perfectly rigid: as the high-pressure wave passes, the wall DILATES elastically, 'absorbing' part of the energy and slowing the propagation. KORTEWEG's formula corrects the fluid celerity by a factor depending on the relative stiffness between the fluid and the pipe wall (the term K·D/(E·e)): more FLEXIBLE pipes (thin wall, low-modulus material like PVC or plastic) GREATLY reduce the celerity (and, with it, the water hammer intensity — an advantage!); RIGID pipes (thick wall, steel, cast iron) have a celerity close to the infinite-fluid one (more intense hammer). This is why plastic pipes are naturally more 'friendly' to water hammer than metallic ones. The Korteweg celerity is the speed actually used in real water-hammer calculations (Joukowsky overpressure, phase period, etc.). Enter the fluid modulus, the density, the diameter, the material modulus and the thickness.
Pipe Phase Period (2L/a)
Computes the phase period (or critical time) of a pipe, t_c = 2·L / a, from the pipe length L (m) and the wave celerity a (m/s); the result is in seconds. The phase period is the TIME the pressure wave takes to travel from the valve to the reservoir (L/a) and BACK (another L/a) — that is, round trip, totalling 2L/a. It is the KEY quantity separating water hammer into two fundamentally different regimes, depending on how the valve CLOSURE TIME (t_f) compares with the phase period: (1) RAPID closure (t_f < 2L/a): the valve closes BEFORE the relief wave (reflected at the reservoir) returns — all the liquid column's energy is converted to overpressure at once, generating the MAXIMUM hammer (full Joukowsky overpressure, ΔH = a·v/g). It is the most dangerous case; (2) SLOW closure (t_f > 2L/a): the valve closes gradually, and the relief wave returns in time to attenuate the overpressure — the hammer is REDUCED (computed by Michaud's formula). So the basic protection strategy against water hammer is to close valves SLOWLY (t_f much larger than 2L/a), which requires knowing the phase period. LONG pipes have a large phase period (harder to close 'slowly'). The phase period is therefore the decisive parameter in water-hammer protection design. Enter the length and the celerity.
Valve Closure Classification
Computes the valve closure classification ratio, r = t_f / (2·L/a), from the valve closure time t_f (s), the pipe length L (m) and the wave celerity a (m/s). This ratio determines whether a valve closure characterises a RAPID or SLOW water hammer — the most important distinction in transient analysis, since it defines which formula to use and how severe the hammer will be. The ratio compares the valve closure time (t_f) with the pipe phase period (2L/a): if r < 1 (t_f less than 2L/a), the closure is RAPID — the valve closes before the relief wave returns from the reservoir, and the MAXIMUM overpressure occurs (full Joukowsky hammer), regardless of the exact closure speed; if r > 1 (t_f greater than 2L/a), the closure is SLOW — the relief wave returns in time to relieve part of the overpressure, which is REDUCED (proportionally to 1/t_f, by Michaud's formula). The HIGHER the ratio (slower closure relative to the phase period), the LOWER the overpressure and the safer the system. The protection rule of thumb is to size the valve closure time so that r is well above 1 (ideally ≥ 5 to 10). This classification is the first step of any water-hammer analysis and guides the choice of slow-closing valves, actuators and protection devices. Enter the closure time, the length and the celerity.
Michaud Overpressure (Slow Closure)
Computes the water-hammer overpressure for slow closure, by Michaud's formula, ΔH = 2·L·v / (g·t_f), from the pipe length L (m), the flow velocity v (m/s), gravity g (9.81 m/s²) and the valve closure time t_f (s); the result is in metres of water column. When a valve is closed SLOWLY (closure time greater than the phase period 2L/a), the water-hammer overpressure is LOWER than Joukowsky's (rapid closure), because the relief wave reflected at the reservoir returns in time to attenuate part of the overpressure. MICHAUD's formula (also called Michaud-Vensano or the slow-hammer formula) computes this reduced overpressure: it is INVERSELY proportional to the closure time — the slower the valve closes, the LOWER the overpressure. Note that Michaud's overpressure does NOT depend on the celerity (unlike Joukowsky's), only on the length, velocity and closure time. This is the basis of the main water-hammer protection strategy: EXTENDING the valve closure time (using slow-closing valves, ramped motorised actuators, or check valves with damped closure). Michaud's formula allows the necessary closure time to be sized to keep the overpressure within a safe limit (that the pipe withstands). It is an essential tool in the hydraulic design of water mains, pumping stations and pressurised systems. Enter the length, the velocity and the closure time.
Joukowsky Surge Head
Computes the maximum water-hammer overpressure (rapid closure) as a water column height, ΔH = a·v / g, from the wave celerity a (m/s), the flow velocity v (m/s) and gravity g (9.81 m/s²); the result is in metres. JOUKOWSKY's formula gives the MAXIMUM overpressure that can occur in a pipe due to water hammer — the worst case, happening in the RAPID closure of a valve (closure time less than the phase period 2L/a). When the moving liquid is abruptly stopped, its kinetic energy is converted to pressure energy, generating an overpressure wave. The formula is remarkably simple: the overpressure (as height) is the product of the celerity and the flow velocity, divided by gravity. The result can be FRIGHTENING: for water in a steel pipe (a ≈ 1200 m/s) flowing at only 2 m/s, the Joukowsky overpressure is about 245 metres of water column (≈ 24 bar)! This overpressure ADDS to the static operating pressure, easily able to BURST the pipe, damage valves, pumps and equipment. This is why water hammer is one of the biggest concerns in pressurised-pipe design, and why protection devices (surge tanks, air vessels, relief valves, pump flywheels) and slow valve closure are used. This is the formula's HEIGHT form; multiplying by ρ·g gives the overpressure in Pa. Enter the celerity and the flow velocity.
Allievi Parameter
Computes the Allievi parameter (pipeline characteristic), ρ = a·v₀ / (2·g·H₀), from the wave celerity a (m/s), the initial flow velocity v₀ (m/s), gravity g (9.81 m/s²) and the initial static head (pressure) H₀ (m); the result is dimensionless. The Allievi parameter (also called pipeline characteristic, or Allievi number) is a fundamental dimensionless parameter in the CLASSICAL water-hammer theory developed by the Italian engineer Lorenzo Allievi. It compares the MAXIMUM possible hammer overpressure (Joukowsky's, proportional to a·v₀) with the static operating pressure (proportional to H₀) — that is, it measures HOW SEVERE the water hammer is RELATIVE to the system's normal pressure. A SMALL Allievi parameter (ρ << 1) indicates the hammer is small compared to the static pressure (robust system, little affected by transients); a LARGE parameter (ρ > 1) indicates the hammer can DOUBLE or more the pressure (very sensitive system, requiring careful protection). The Allievi parameter, together with the valve closure characteristic (θ = t_f/(2L/a)), forms the pair of dimensionless parameters governing the WHOLE water-hammer behaviour in classical theory — they are used in Allievi's charts and diagrams to determine the maximum overpressures in partial closures and at different times. It is a central concept of transient analysis in water mains, hydropower plants and pumping systems. Enter the celerity, the initial velocity and the static head.
Critical Pipe Length
Computes the critical pipe length, L_c = a·t_f / 2, from the wave celerity a (m/s) and the valve closure time t_f (s); the result is in metres. The critical length is the pipe length separating, for a GIVEN closure time, the rapid and slow hammer regimes — that is, it is the 'other side' of the water-hammer classification, looking from the length instead of the time. For a fixed closure time t_f: pipes SHORTER than the critical length (L < L_c) suffer RAPID hammer (maximum Joukowsky overpressure), since the wave does not have time to go and return before closure; pipes LONGER than the critical length (L > L_c) suffer SLOW hammer (reduced Michaud overpressure), since the relief wave returns in time. This reveals an interesting and sometimes counterintuitive aspect: for the same closure time, LONG pipes are actually LESS susceptible to the maximum hammer (the closure becomes relatively 'slow'), while SHORT pipes are more vulnerable to the full hammer. The critical length is useful in design to quickly assess, given a valve closure time, whether a specific pipe will be in the rapid or slow regime, guiding the need (or not) for additional protection devices. It is an alternative, practical way to apply the water-hammer classification. Enter the celerity and the closure time.
Maximum Surge Head
Computes the maximum total head (pressure) in the pipe during water hammer, H_max = H₀ + a·v / g, from the initial static head H₀ (m), the wave celerity a (m/s), the flow velocity v (m/s) and gravity g (9.81 m/s²); the result is in metres of water column. This is the PEAK pressure the pipe actually experiences during a rapid-closure water hammer — the number that really matters to check whether the pipe RESISTS. It is the sum of two parts: the STATIC operating pressure H₀ (the pressure already in the system before the transient) PLUS the Joukowsky OVERPRESSURE (a·v/g, the pressure wave generated by the closure). It is crucial to add the two, since the hammer does not 'replace' the static pressure — it ADDS to it. The result is the maximum pressure the pipe wall, joints, valves and equipment must safely withstand. This is the decisive design check: the maximum surge head must stay BELOW the pipe's allowable pressure (rated pressure × safety factor). If it exceeds, one must: reduce the flow velocity (larger pipe), use slow valve closure (reducing the overpressure by Michaud's formula), install protection devices (surge tank, hydropneumatic tank, relief valve), or specify a higher pressure-class pipe. Computing the maximum head is the final, essential step of the water-hammer safety check. Enter the static head, the celerity and the velocity.
Closure Velocity for Target Surge
Computes the flow velocity change that produces a given water-hammer overpressure, Δv = ΔH·g / a, from the allowable overpressure ΔH (m), gravity g (9.81 m/s²) and the wave celerity a (m/s); the result is in m/s. This is the INVERTED form of Joukowsky's formula, used in SIZING water-hammer protection: given the MAXIMUM overpressure the pipe can withstand (allowable ΔH, set by the pipe's pressure class minus the static pressure), it computes the largest velocity change (Δv) that can occur 'at once' without exceeding this limit. This is very useful in practice to: (1) check whether the operating flow velocity is already safe (if the abrupt stop of the whole column generates overpressure within the limit, the system is intrinsically safe against the hammer); and (2) size protection devices and operating strategies — for example, when stopping a pump, the flow deceleration must be gradual enough so that the velocity change PER phase period stays below this critical Δv. The formula shows that pipes with HIGH celerity (rigid pipes) tolerate SMALLER velocity changes (they are more sensitive), while flexible pipes (low celerity) tolerate more. Knowing the allowable velocity change guides the design of smooth pump starts and stops, valve closure and pipe selection. Enter the allowable overpressure and the celerity.
Bevel Gear Ratio
Computes the transmission ratio of a bevel gear pair, i = N_g / N_p, from the gear teeth N_g and the pinion teeth N_p. As in any gear pair, the bevel gear transmission ratio is the ratio between the driven (gear) and driving (pinion) tooth numbers, and it determines how much the speed is reduced (and the torque multiplied) passing through the transmission. In bevel gears, the transmission ratio also relates to the PITCH ANGLES: the tangent of the gear pitch angle equals the transmission ratio (tan Γ = i), an elegant connection between the angular cone geometry and the kinematics. Bevel gears are used in typically moderate ratios (from 1:1 up to about 6:1 or 8:1 per pair); for larger reductions, multiple stages are used or combined with other types. The most famous application is the automotive DIFFERENTIAL, which uses a bevel gear set (pinion and crown gear) to transmit the motion from the (longitudinal) driveshaft to the (transverse) wheel half-shafts, besides allowing the wheels to turn at different speeds in curves. The bevel transmission ratio defines the vehicle's final drive and is central in designing any right-angle transmission. Enter the gear and pinion teeth.
Worm Diameter Factor
Computes the diameter factor of a worm, q = d_w / m, from the worm pitch diameter d_w (mm) and the module m (mm). The diameter factor (or diameter quotient) is a dimensionless standardisation parameter relating the worm diameter to its module. It is used by standards (like DIN 3975) and manufacturers to STANDARDISE the worms and the worm gear cutting tools: for a given module, the diameter factor defines the worm diameter in a standardised way, allowing the same hob to cut worm gears that mesh with standardised worms. Typical q values range from 8 to 16 (smaller values give 'thinner' worms, with larger lead angle and efficiency, but less stiffness; larger values give 'thicker' worms, stiffer, but with smaller lead angle). The diameter factor directly influences: the lead angle (and therefore the efficiency and self-locking), the worm stiffness (important to avoid bending under load, which harms the meshing) and the tool standardisation. The choice of diameter factor is a design trade-off between efficiency (favoured by small q) and stiffness (favoured by large q). It is a fundamental parameter in the standardised specification of worm sets, ensuring interchangeability and tool availability. Enter the worm pitch diameter and the module.
Axial Contact Ratio
Computes the axial contact ratio (or overlap ratio) of a helical gear, m_F = b·sin(ψ) / (π·m_n), from the gear face width b (mm), the helix angle ψ (degrees) and the normal module m_n (mm). The axial contact ratio is the parameter QUANTIFYING the main advantage of helical gears: smooth, quiet operation. It measures how many axial pitches fit in the gear width — that is, how much the tooth helix 'overlaps' along the face. Unlike spur gears (where contact is abrupt — the whole tooth enters and leaves the mesh at once, causing noise and vibration), in helical gears the contact moves GRADUALLY along the inclined tooth. The axial contact ratio measures this effect: a value m_F ≥ 1 ensures there is ALWAYS at least one tooth in contact along the whole face, eliminating the 'jumps' and making the meshing continuous and smooth — the secret of helical gears' quietness. To obtain the full benefits, the gear is designed for m_F ≥ 1 (ideally 1.5 to 2), which requires an adequate combination of width, helix angle and module: WIDER gears, with LARGER helix angles and smaller modules, have a higher axial contact ratio. The axial contact ratio ADDS to the transverse contact ratio (that of spur gears) to give the TOTAL contact ratio, which is higher in helical gears — hence their greater load capacity and smoothness. It is a key quality parameter of a helical transmission. Enter the face width, the helix angle and the normal module.
Static Stability Factor (SSF)
Computes a vehicle's Static Stability Factor (SSF), SSF = t / (2·h), from the track width (distance between same-axle wheels) t (m) and the CG height h (m). The Static Stability Factor is the MOST USED measure to assess a vehicle's propensity to ROLLOVER — the HIGHER the SSF, the MORE STABLE the vehicle (less prone to roll). It is simply half the track width divided by the CG height, and has a direct physical interpretation: it represents the lateral acceleration (in 'g') that would make the vehicle start to roll (in a simplified rigid model). An SSF of 1.5, for example, indicates the vehicle rolls at 1.5 g of lateral acceleration. The SSF is used by vehicle safety agencies (like the US NHTSA) to rate vehicles in rollover-resistance stars: vehicles with a HIGH SSF (low, wide cars, ~1.4-1.5) rarely roll over (they skid first); vehicles with a LOW SSF (tall, narrow SUVs, pickups and vans, ~1.0-1.2) have a much higher rollover risk, responsible for a disproportionate fraction of traffic deaths. The SSF explains why SUVs and tall vehicles need electronic stability control (ESC) — mandatory in many countries precisely to mitigate this risk. Increasing the SSF (lowering the CG, widening the track) is the design path to reduce rollover risk. It is an essential passive-safety indicator. Enter the track width and the CG height.
Vehicle Acceleration
Computes a vehicle's acceleration, a = (F_tractive − F_resistances) / m, from the available tractive force F_tractive (N), the sum of the resistance forces F_resistances (N) and the vehicle mass m (kg); the result is in m/s². This is the direct application of Newton's Second Law (F = m·a) to the vehicle's longitudinal dynamics: the acceleration results from the NET force (the tractive force pushing minus the resistances opposing) divided by the mass. It is the equation determining a vehicle's acceleration PERFORMANCE (the famous '0 to 100 km/h' measure). Acceleration is MAXIMUM when there is a large surplus of tractive force over the resistances — which occurs at low speeds (where aerodynamic drag is small) and in low gears (where the torque multiplication generates much tractive force). As speed increases, the resistances grow (especially drag, with V²) and the available tractive force decreases (in higher gears), reducing the acceleration — until, at top speed, the tractive force just equals the resistances and the acceleration reaches ZERO. The vehicle mass is decisive: LIGHTER vehicles accelerate more (same force, less mass) — hence the pursuit of weight reduction in sports cars. This formula is the basis of vehicle-performance simulation, transmission design and model comparison. Enter the tractive force, the sum of resistances and the mass.
Manifold Absolute Pressure (MAP)
Computes the manifold absolute pressure (MAP), MAP = P_atm + boost, from the atmospheric pressure P_atm (kPa) and the relative boost pressure read on the gauge (kPa). The manifold absolute pressure (MAP) is the REAL, total air pressure inside the intake manifold, measured relative to absolute vacuum (absolute zero pressure) — not relative to the atmosphere. It is important to distinguish MAP from BOOST pressure: the boost gauge shows the pressure RELATIVE to the atmosphere (how much the pressure is ABOVE atmospheric), while MAP is the ABSOLUTE pressure (atmospheric plus boost). For example, a boost of 100 kPa (1 bar) at sea level corresponds to a MAP of about 201 kPa. MAP is fundamental for several reasons: (1) it is what the engine's MAP SENSOR measures (present in almost all fuel-injected cars) so the electronic control unit (ECU) computes the admitted air mass and the correct fuel injection — the 'speed-density' method; (2) it is the pressure used in the charge air density calculations (gas law) and therefore in the power estimate; and (3) it defines the engine load for ignition advance and other management parameters. In naturally aspirated engines, MAP is always LOWER than atmospheric (there is vacuum in the manifold, created by the throttle restriction); in turbo engines at full load, MAP exceeds atmospheric. MAP is one of the most important signals of engine electronic management. Enter the atmospheric pressure and the boost.
Engine Mechanical Efficiency
Computes an engine's mechanical efficiency, η_mech = (P_brake / P_indicated)·100, from the brake (useful shaft) power P_brake (kW) and the indicated power (generated in the cylinders) P_indicated (kW); the result is in %. The mechanical efficiency measures the fraction of the power GENERATED by combustion inside the cylinders (indicated power) that actually reaches the engine SHAFT as useful power (brake power). The difference between the two is the FRICTION and PUMPING power, lost internally in the engine: the friction between pistons, rings and cylinders; the friction in the crankshaft and camshaft bearings; the driving of accessories (oil pump, water pump, fuel pump, valvetrain); and the work of 'pumping' the gases in intake and exhaust. These mechanical losses consume energy that does NOT reach the wheels. The typical mechanical efficiency of an engine at full load is ~80-90%, but DROPS drastically at partial loads and idle (where the indicated power is small but the friction remains, possibly reaching 0% at idle — all the indicated power is spent overcoming its own friction). This is why engines are inefficient at low load, and technologies like cylinder deactivation and start-stop seek to mitigate these losses. The mechanical efficiency, together with the thermal and volumetric ones, composes the engine's total efficiency. Enter the brake power and the indicated power.
Rotameter Density Correction
Computes the corrected real flow of a rotameter when the fluid differs from the calibration one, Q_real = Q_indicated·√(ρ_calibration / ρ_real), from the flow indicated on the scale Q_indicated, the calibration fluid density ρ_calibration (kg/m³) and the real fluid density ρ_real (kg/m³). The ROTAMETER is a VARIABLE-AREA flow meter: a float inside a transparent conical tube rises to a height proportional to the flow (the higher the flow, the higher the float), and the reading is taken directly on the graduated scale. It is simple, cheap, needs no power and gives a direct visual reading — widely used in laboratories, panels and in measuring clean gases and liquids. However, a rotameter's scale is CALIBRATED for a specific fluid (usually water for liquids, air for gases) at a reference density. If the measured fluid has a density DIFFERENT from the calibration one, the reading is WRONG and must be corrected by the density ratio. The correction arises because the float's equilibrium depends on buoyancy and drag, which vary with the fluid density: a fluid denser than the calibration one pushes the float more (the reading indicates a higher flow than real, and the correction reduces it). Applying the density correction is essential to obtain accurate measurements with rotameters operating outside calibration conditions — common with changes of fluid, temperature or pressure. Enter the indicated flow and the calibration and real densities.
Stanton Number
Computes the Stanton number, St = Nu / (Re·Pr), from the Nusselt number Nu, the Reynolds number Re and the Prandtl number Pr. The Stanton number is a dimensionless convective heat-transfer parameter representing the RATIO between the heat actually TRANSFERRED to the fluid and the flow's thermal capacity (the heat the fluid could carry). It is an alternative, convenient way to express the convection coefficient, relating to the other dimensionless numbers by St = Nu/(Re·Pr). The Stanton number is especially useful because it arises naturally in the REYNOLDS ANALOGY (and the Chilton-Colburn analogy) — relations connecting HEAT transfer with FRICTION (head loss) in a flow. This analogy is powerful: it allows the heat transfer coefficient to be ESTIMATED from friction measurements (easier to obtain), or vice versa, because the same turbulent mechanisms that transport momentum (causing friction) also transport heat. For flows with a Prandtl number close to 1 (like gases), the Reynolds analogy gives St ≈ f/2 (half the friction factor). The Stanton number is widely used in designing compact heat exchangers, boundary-layer analysis, thermal aerodynamics (heating of high-speed vehicles) and heat-transfer correlations. Enter the Nusselt, Reynolds and Prandtl numbers.
Equivalent Length of Fitting
Computes the equivalent length of a fitting (connection, valve, bend) in a pipe, L_eq = K·D / f, from the minor loss coefficient K, the pipe diameter D (m) and the friction factor f. Besides the distributed head losses along the straight pipe reaches (by friction), a pipe has LOCAL (or minor) losses at each accessory that disturbs the flow: bends, elbows, tees, valves, gate valves, reducers, entrances and exits. Each of these accessories has a characteristic loss coefficient K (an open globe valve, for example, has high K; a smooth bend, low K). The EQUIVALENT LENGTH method is an elegant, practical way to include these minor losses in the calculation: it converts each accessory into a 'fictitious length of straight pipe' that would cause the SAME head loss as the accessory. So, instead of summing distributed and local losses separately, the real pipe length is summed with the equivalent lengths of all the accessories, obtaining a TOTAL length, and everything is computed at once as if it were a single straight pipe. This method greatly simplifies the calculation of networks with many fittings, being widely used in sizing building, industrial and fire hydraulic installations. Manufacturers' tables provide equivalent lengths directly for each fitting type and diameter. Enter the minor loss coefficient, the diameter and the friction factor.
Surface Radiosity
Computes the radiosity of a gray surface, J = ε·E_b + (1 − ε)·G, from the emissivity ε, the blackbody emissive power E_b (W/m²) and the irradiation G (W/m², radiation incident on the surface); the result is in W/m². The RADIOSITY (J) is the TOTAL amount of radiation leaving a surface per unit area, summing two contributions: the radiation the surface EMITS by itself (ε·E_b, proportional to its emissivity and temperature) and the radiation it REFLECTS of what it receives from the environment ((1−ε)·G, where (1−ε) is the reflectivity of an opaque gray surface). It is a key concept in computing radiation between surfaces, because, in an enclosure with several surfaces exchanging radiation, what each surface 'sends' to the others is not just what it emits, but EVERYTHING leaving it — emitted plus reflected — which is precisely the radiosity. For a blackbody (ε = 1), the radiosity is simply the emissive power (no reflection); for real surfaces, the reflected part is important. The radiosity is the 'variable' of the radiative-circuit method: solving the radiosity system of all the surfaces of an enclosure (with their surface and space resistances) gives the heat exchanges. It is fundamental in designing furnaces, cavities, solar collectors and any system with multiple radiating surfaces. Enter the emissivity, the blackbody emissive power and the irradiation.
Layer Interface Temperature
Computes the temperature at the interface between two layers of a composite wall, T_i = T_hot − Q·R₁, from the hot-face temperature T_hot (°C), the heat flow Q (W) and the first layer's thermal resistance R₁ (K/W). In a wall composed of several layers, heat flows in steady state with the SAME rate Q through all of them (in series), but the temperature DROPS progressively as it crosses each layer — the greater a layer's resistance, the greater the temperature drop across it. The temperature at any internal point of the wall (at the interfaces between layers) can be found by applying the 'thermal Ohm's law' to each segment: the temperature at the interface after the first layer is the hot-face temperature minus the temperature drop in that layer (Q·R₁). Knowing the interface temperatures is important for several practical reasons: (1) checking whether any material is subjected to a temperature ABOVE its admissible limit (e.g. an adhesive, membrane or insulation that degrades above a certain temperature); (2) predicting the dew point inside the wall and the risk of INTERSTITIAL CONDENSATION (water/mould forming inside the wall, a serious building-pathology problem); and (3) understanding the temperature distribution to design the ideal layer sequence. Computing the interface temperatures completes the thermal analysis of a composite wall. Enter the hot-face temperature, the heat flow and the first layer's resistance.
Corrected LMTD
Computes a heat exchanger's corrected log mean temperature difference, ΔT_lm,corr = F_t·ΔT_lm, from the correction factor F_t and the counterflow-computed LMTD ΔT_lm (°C). The log mean temperature difference (LMTD) is derived for the pure COUNTERFLOW arrangement. However, most real exchangers — especially shell-and-tube exchangers with multiple passes and cross-flow ones (radiators, coils) — do NOT have purely counterflow flow: the fluids mix in more complex ways. In these cases, the effective temperature difference is SMALLER than the counterflow LMTD, and a CORRECTION FACTOR F_t (always ≤ 1) must be applied to obtain the corrected log mean difference used in the equation Q = UA·ΔT_lm,corr. The factor F_t depends on the exchanger geometry (number of shell and tube passes) and on two dimensionless temperature parameters (P and R), obtained from CHARTS or specific correlations for each configuration. An F_t close to 1 indicates an arrangement almost as efficient as counterflow; a low F_t (below ~0.75-0.8, considered the practical acceptable limit) indicates a poor arrangement, requiring redesign (more passes or exchangers in series). Applying the correction factor is indispensable to correctly size real exchangers that are not pure counterflow. Enter the correction factor and the counterflow LMTD.
Motor Starting Torque
Computes the starting torque of an electric motor, T_start = (T_p/T_n)·T_rated, from the starting torque ratio T_p/T_n (given on the nameplate/catalogue) and the rated torque T_rated (N·m). The starting torque (also called locked-rotor torque) is the torque the motor develops at the STARTING instant, with the rotor still stopped — and it is a CRITICAL parameter to ensure the motor can 'break away' the load. For starting to occur, the motor's starting torque must be GREATER than the load's resisting torque at break-away; otherwise, the motor does not accelerate, stays stalled drawing the very high starting current and burns out. Different load types have very different starting demands: loads like fans and centrifugal pumps have low resisting torque at start (easy break-away), while loads like crushers, loaded conveyors, compressors and presses require high starting torque. So motors are classified into torque CATEGORIES (N, H, D per IEC, or A, B, C, D in NEMA), each with a characteristic T_p/T_n ratio, to match the load's demand. Note: soft-start methods (star-delta, soft-starter) that reduce the starting current ALSO reduce the starting torque (proportionally to the voltage squared), which can prevent heavy loads from breaking away. Enter the starting torque ratio and the rated torque.
Diode Peak Inverse Voltage
Computes the peak inverse voltage (PIV) a diode must withstand in a full-wave CENTER-TAPPED rectifier, PIV = 2·V_p, from the peak voltage V_p (V). The peak inverse voltage is the MAXIMUM reverse voltage appearing across a diode when it is BLOCKED (not conducting) — the most dangerous instant for the component, because if this voltage exceeds the diode's breakdown voltage, it can be DESTROYED. So specifying diodes with adequate PIV (with a safety margin) is a MANDATORY step in designing any rectifier. The PIV value DEPENDS on the topology: in the full-wave rectifier with a CENTER-TAPPED transformer, while one diode conducts, the other is subjected to the summed voltage of BOTH half-windings — hence PIV = 2·V_p (twice the peak!), a notable drawback of this configuration. In the four-diode bridge rectifier, the PIV is only V_p (each blocked diode sees just one peak), allowing lower-voltage diodes — one of the reasons for the bridge's popularity. Knowing the PIV is essential to choose diodes that will not burn out in operation: a diode with a breakdown voltage well above the computed PIV is always specified. Enter the peak voltage.
Number of Ground Rods
Computes the number of ground rods needed to reach a target resistance, N = R1 / (R_target·F), from the single-rod resistance R1 (Ω), the desired grounding resistance R_target (Ω) and the reduction (efficiency) factor F (0 to 1). This is the direct SIZING calculation of a rod grounding system: you start from the resistance a single rod offers in the local soil (computed by Dwight's formula) and the TARGET resistance the design must reach (e.g. ≤ 10 Ω by code, or lower values for substations and lightning protection), and determine how many parallel rods are needed. The reduction factor F (< 1) accounts for the overlapping influence zones of nearby rods, which makes the parallelism less efficient than ideal — so the actual number of rods is HIGHER than the simple ratio R1/R_target. The result should be rounded UP (to ensure compliance) and, in practice, the rods are distributed with adequate spacing (≥ rod length) to maximise efficiency. If the result is very high (high-resistivity soil), it may be more economical to use longer rods, chemical soil treatment, or a horizontal conductor grid. This calculation concludes the design of a rod grounding system, delivering the concrete quantity to install. Enter the single-rod resistance, the desired resistance and the reduction factor.
Design Current (Three-Phase)
Computes the design current of a three-phase circuit, I = P / (√3·V·cos φ), from the total active power P (W), the line voltage V (V) and the power factor cos φ. In THREE-PHASE systems — standard for supplying motors, machines and higher-power loads — the relationship between power, voltage and current involves the factor √3 (≈1.732), arising from the three-phase configuration. This is the LINE current flowing in each of the three phase conductors, and is the starting point for sizing the conductor, the protection and the conduit of three-phase circuits and feeders. As in the single-phase case, the current depends on the load's POWER FACTOR: the lower the cos φ, the higher the current for the same active power. The great advantage of the three-phase system becomes evident when comparing the formulas: to transmit the SAME power, the three-phase system requires a LOWER current per conductor than the single-phase one (due to the √3 and the split among three phases), meaning thinner conductors, lower losses and better use of copper — which is why power distribution and large consumers are three-phase. Computing the three-phase design current is essential in designing industrial and large commercial installations and motor supply. Enter the power, the line voltage and the power factor.
Transformer Input Power
Computes a transformer's input (absorbed) power, P_input = P_output + P_copper + P_iron, from the useful output power P_output (W), the copper losses P_copper (W) and the iron losses P_iron (W). This is the direct application of the energy balance (power conservation) in a real transformer: all the power ENTERING the primary either is delivered to the load (output power) or is DISSIPATED internally as losses. The losses split into two types: COPPER losses (Joule, in the windings, varying with load) and IRON losses (in the magnetic core: hysteresis and eddy currents, practically constant). The input power is therefore the sum of the useful power and all the losses. This calculation is the basis for determining the efficiency (η = P_output/P_input), for estimating the installation's real energy consumption (which pays for the input power, not just the useful) and for sizing the transformer's ventilation and cooling system (which must dissipate exactly the loss power converted to heat). The power balance is a fundamental concept of all machines and energy converters, and in the transformer it is especially simple because there are no mechanical losses. Enter the output power and the copper and iron losses.
Composite Transmission Loss
Computes the composite transmission loss of a wall with two elements (e.g. wall and door), TL = −10·log₁₀((S1·10^(−TL1/10) + S2·10^(−TL2/10)) / (S1 + S2)), from the areas S1 and S2 (m²) and the individual transmission losses TL1 and TL2 (dB); the result is in dB. When a partition combines materials with DIFFERENT insulation — typically a well-insulating wall with a much less insulating DOOR or WINDOW — the assembly's insulation is NOT the simple average: it is dominated by the WEAKEST LINK. This formula computes the resulting insulation by summing the TRANSMISSIONS (not the losses) of each element, weighted by area. The result is often surprising and reveals a crucial acoustics principle: a small area of low insulation RUINS the performance of the whole wall. For example, a 45 dB wall with a door of only 20 dB occupying 10% of the area can have a composite insulation of only ~30 dB — the door 'leaks' so much sound that it cancels the wall's quality. It is the same principle as a gap in a window or an untreated duct. So in acoustic-insulation design, it is useless to invest in an excellent wall if there is a poor door, window, gap or passage — the assembly is only as good as its worst component. This calculator quantifies the effect and guides where to invest in insulation. Enter the areas and the transmission losses of the two elements.
Luminaire Luminous Flux Output
Computes the useful luminous flux emitted by a luminaire, Φ_useful = Φ_lamp·η, from the nominal lamp luminous flux Φ_lamp (lumens) and the luminaire light output ratio η (a fraction between 0 and 1). Not all the luminous flux the lamps produce actually leaves the luminaire and reaches the room: part is ABSORBED and blocked by the luminaire body, the reflector, the diffuser and the louvres. The luminaire EFFICIENCY (η, or Light Output Ratio) is the fraction of the lamp flux the luminaire actually emits — a photometric characteristic provided by the manufacturer. Open, well-designed luminaires have high efficiency (0.8–0.9); luminaires with closed diffusers, dense louvres or for glare control have lower efficiency (0.5–0.7), trading efficiency for visual comfort. Knowing each luminaire's useful flux is essential for the lumen method: it is this value (not the lamps' nominal flux) that is used to compute how many luminaires are needed and the resulting illuminance. Ignoring the luminaire efficiency leads to overestimating the available light and undersizing the installation. This calculation connects the lamp specifications to the real performance of the installed luminaire. Enter the nominal lamp flux and the luminaire efficiency.
Dehumidification Rate
Computes the water (condensate) removal rate in a dehumidification process, ṁ_water = ṁ_air·(W1 − W2)·3600, from the dry-air mass flow ṁ_air (kg/s), the inlet humidity ratio W1 (kg/kg) and the outlet humidity ratio W2 (kg/kg); the result is in kg of water per hour (kg/h). When moist air is cooled below its dew point in an air-conditioning coil (or dehumidifier), part of the water vapor CONDENSES and is drained — which is why air conditioners 'drip' water. The amount of water removed is simply the air flow times the DROP in humidity ratio (W1 − W2), since the humidity ratio measures the vapor mass per kg of dry air, and the difference is the water that left the air. This calculation is essential in air-conditioning design: it sizes the condensate pan and drain, quantifies the coil's LATENT load (the energy spent condensing the water, often half or more of the total load in humid climates) and estimates water consumption in towers and the performance of industrial dehumidifiers (product drying, humidity control in warehouses and processes). Multiplying by 3600 converts from kg/s to kg/h, the practical unit. Enter the air flow, the inlet humidity ratio and the outlet humidity ratio.
Affinity Law — NPSH vs Speed
Computes the new required NPSH of a pump when the speed changes, NPSH2 = NPSH1·(N2/N1)², from the original required NPSH1, the original speed N1 (rpm) and the new speed N2 (rpm). Like head, the REQUIRED NPSH also follows an affinity law, varying with the SQUARE of speed. This has a very important and sometimes forgotten practical implication: when INCREASING a pump's speed (for example, swapping a motor from 1750 to 3500 rpm, or overspeeding with a drive), the required NPSH GROWS with the square of speed — quadrupling if the speed doubles! This can easily make the required NPSH EXCEED the installation's available NPSH, causing the pump to CAVITATE even though it worked fine at the original speed. Therefore, when speeding up a pump, it is mandatory to recheck the cavitation margin (available NPSH > required NPSH at the new speed). Conversely, REDUCING the speed lowers the required NPSH, relieving cavitation problems — a possible solution for pumps with tight NPSH. This law completes the affinity set and is essential whenever a pump's speed is changed. Enter the original required NPSH, the original speed and the new speed.
Partial UDL Reaction
Computes the reaction at support A due to a moving uniformly distributed load covering a length c from support A, R_A = w·c·(L − c/2) / L, from the load intensity w (kN/m), the loaded length c (m) and the span L (m). On a bridge or beam under a moving lane/crowd load, the distributed load may occupy only PART of the span — and the position/extent that maximises the reaction at a support is determined by the influence line. For the reaction at A (whose influence line decreases linearly from 1 at A to 0 at B), loading the stretch ADJACENT to support A (from 0 to c) gives the largest contribution. The resultant of this partial load is w·c, acting at its centroid (a distance c/2 from A), and the reaction is that resultant times the mean influence-line ordinate: R_A = w·c·(L−c/2)/L. This reasoning of 'partially loading where the influence line is favourable' is what lets you find the real maximum efforts under moving distributed loads, which may be larger (for certain efforts) or require specific positioning relative to full loading. It is a direct, practical application of influence lines to bridge design. Enter the load intensity, the loaded length and the span.
Chain Tooth Correction Factor
Computes the pinion tooth-count correction factor for roller-chain selection, K1 = (N1 / 17)^1.08, from the pinion number of teeth N1. The power-capacity tables for roller chains (ASME/ANSI) are standardised for a REFERENCE pinion of 17 teeth. When the actual pinion has a DIFFERENT number of teeth, the transmission capacity changes — and the factor K1 makes this correction. A pinion with MORE than 17 teeth spreads the load and meshing over more teeth, reduces chordal action and increases capacity (K1 > 1); a pinion with FEWER than 17 teeth concentrates more load per tooth, suffers more from chordal action and has REDUCED capacity (K1 < 1). The exponent 1.08 is empirical, fitted to chain fatigue tests. In selection, the tabulated capacity (for 17 teeth) is multiplied by K1 (and by a multiple-strand factor) to obtain the actual capacity of the chosen pinion, which must exceed the design power. This factor is one of the essential components of the standard chain selection procedure, alongside the service factor. Using more teeth on the pinion is generally advantageous (more capacity, life and smoothness), limited by space and cost. Enter the pinion number of teeth.
Disc Spring (Belleville) Stack Rate
Computes the rate of a stack of disc springs (Belleville washers), k_stack = (np / ns) · k₁, from the number of discs in PARALLEL np (stacked in the same direction), the number of discs in SERIES ns (stacked in alternating directions) and the rate of a single disc k₁ (N/mm). The disc spring (Belleville, or cupped washer) is a conical washer acting as a spring: it occupies VERY little axial space and delivers HUGE forces with small deflection — used in clutches, brakes, relief valves, bearing preload and high-load bolted joints. Its great advantage is that it can be STACKED to tune force and travel: discs in PARALLEL (same direction, nested) ADD their forces while keeping the deflection — multiplying the rate by np (k = np·k₁); discs in SERIES (alternating directions, forming a zig-zag) ADD their deflections while keeping the force — dividing the rate by ns (k = k₁/ns). Combining np in parallel and ns in series gives k = (np/ns)·k₁, letting you 'tune' the force-deflection curve to almost any need with the SAME basic disc. This assembly flexibility is the main reason disc springs are used in engineering. Enter the number of discs in parallel, in series and the single-disc rate.
Power Screw Travel Speed
Computes the linear travel speed of a power screw, v = N·l, from the rotation N (rpm) and the lead l (mm/turn); the result is in mm/min. Since each full turn of the screw advances the nut (or the driven table) by exactly ONE LEAD l, the linear translation speed is simply the product of rotation and lead. It is the calculation that links the ROTARY drive (motor, crank) to the useful LINEAR motion — fundamental in CNC machine tools (where it sets the tool feed rate), linear actuators, lift tables and 3D printers (Z axis). The lead l is the pitch p times the number of thread starts: MULTIPLE-start screws (2, 4 starts) advance more per turn, reaching high translation speeds without spinning as fast — hence used when fast motion is wanted (rapid-feed gearboxes, agile actuators). Fine-lead screws (small pitch, single start) give SLOW, precise motion with great positioning resolution — ideal for micrometers and positioners. The relation v = N·l is the basis of screw motion control. Enter the rotation and the lead.
Tension Crack Depth
Computes the depth of the tension crack that forms at the top of a retained cohesive soil mass, z₀ = 2c / (γ·√Ka), from the soil cohesion c (kPa), the unit weight γ (kN/m³) and the active earth pressure coefficient Ka. In COHESIVE soils (clays), Rankine's active-state theory predicts that, near the surface, the computed active pressure is NEGATIVE (tension): cohesion 'holds' the soil and it would tend to 'pull' the wall rather than push it. Since soil does NOT resist tension, it instead FRACTURES, opening a vertical CRACK at the top of the backfill, of depth z₀ = 2c/(γ√Ka). This crack has important practical implications: (1) the active thrust acts only BELOW it, reducing the effective pressure height; (2) however, if the crack FILLS WITH rainwater, a dangerous extra hydrostatic thrust appears, which can be decisive in slope and wall failures (many collapses occur after heavy rain by this mechanism); and (3) it is an entry path for water to infiltrate and saturate the mass. Hence, designs in cohesive soil provide drainage and sometimes neglect cohesion for safety. Enter the cohesion, the unit weight and the Ka coefficient.
Thickness/Diameter Ratio (Thin Wall)
Calculate a pressure vessel's thickness/diameter ratio, t/D, from the wall thickness t and the diameter D (same unit). This ratio is the criterion deciding whether a vessel can be treated as THIN-walled or needs THICK-walled (Lamé) theory. The distinction is fundamental because the formulas change: in THIN walls (rule of thumb t/D < 0.05, or t/r < 0.1), stress is practically UNIFORM across the thickness, and the simple membrane formulas hold (σ = P·r/t for hoop) — the case of the vast majority of vessels, pipes and tanks. In THICK walls (larger t/D, as in very-high-pressure vessels — hydrogenation reactors, gun barrels, high-pressure hydraulic tubing), stress VARIES strongly across the thickness (maximum at the inner surface, decreasing outward), and the simple formulas dangerously underestimate the inner peak stress — Lamé's equations must be used. Checking the t/D ratio is thus the first step in choosing the correct calculation theory. Vessels with t/D above ~0.1 require thick-wall analysis. This simple check avoids the serious error of applying thin-wall formulas to a thick vessel. Enter the thickness and the diameter.
Crane Load Moment
Calculate a crane's load moment, M = W·R, from the load weight W (N) and the operating radius R (m, the horizontal distance from the crane's rotation center to the load). The load moment is the product of the load weight and its distance to the crane's rotation axis, and it GOVERNS the TIPPING stability — the most feared and catastrophic crane failure mode. A crane tips when the load moment (tending to overturn it forward, toward the load) exceeds the STABILIZING moment (the crane's own weight and counterweight, acting backward). The genius — and danger — is in the RADIUS: the SAME load generates a much larger moment when far (boom extended) than near (boom retracted). So a crane's capacity is NOT a single number, but a LOAD CHART that drops drastically as the radius grows — a crane lifting 50 tonnes at 5 m radius may lift only 5 tonnes at 30 m. Exceeding the maximum load moment (the 'load curve') is the main cause of crane tipping, so cranes have load moment indicators (LMI) locking operation near the limit. Computing the load moment and comparing it with the allowable moment for that radius is the fundamental safety check in every crane operation. Enter the load weight and the operating radius.
Follower Max Jerk (SHM)
Calculate the maximum jerk of a simple-harmonic-motion cam follower, j_max = (π³·h·ω³) ÷ (2·β³), from the total lift h (mm), the cam angular velocity ω (rad/s) and the rise angle β (rad). Jerk is the RATE OF CHANGE of acceleration (the third time-derivative of displacement). Though less known than velocity and acceleration, jerk is decisive for the SMOOTHNESS and vibration of a cam mechanism: abrupt acceleration changes (high jerk) generate SHOCKS that excite the system's natural frequencies, causing vibration, noise, fatigue and wear — even if peak acceleration is within limits. In SHM, although acceleration is continuous inside the rise, it is DISCONTINUOUS at the ends, meaning INFINITE jerk there (the formula gives the interior jerk peak, but the end discontinuities are the real problem). It is precisely to eliminate these acceleration discontinuities (infinite jerk) that CYCLOIDAL motion and polynomial profiles were developed — they ensure finite, continuous jerk, the choice for high-speed, precision cams. Jerk grows with the CUBE of the rotation ω, becoming critical at high speeds. Considering jerk is the mark of advanced cam design. Enter the lift, the angular velocity and the rise angle.
Belt Transmission Ratio with Slip
Calculate a belt's real transmission ratio accounting for slip, i = (D ÷ d)·(1 − s/100), from the driving D and driven d pulley diameters (mm) and the slip percentage s (%). A belt's THEORETICAL transmission ratio is simply the pulley diameter ratio (D/d) — a large driving pulley turning a small driven one multiplies the rotation. But in practice, a belt drive is NOT exact like a gear drive (which has interlocking teeth): the belt transmits by FRICTION, and there is always a small SLIP between belt and pulleys. This slip has two components: ELASTIC slip (creep, inevitable, ~1-2%, from the belt stretching and contracting as tension changes between the two sides) and GROSS slip (occurring under overload, when the belt loses grip — undesirable and harmful). Slip makes the driven pulley's real rotation SLIGHTLY LOWER than theoretical, and the real transmission ratio a bit different from nominal. In applications needing exact synchronism (engine timing shafts, positioning), V-belt slip is unacceptable, and TIMING (toothed) belts or chains, which do not slip, are used. This calculation quantifies the slip effect on the transmission ratio. Enter the driving and driven pulley diameters and the slip percentage.
Bearing Mean Diameter
Calculate a bearing's mean (pitch) diameter, d_m = (D + d) ÷ 2, from the outer diameter D (mm, of the outer ring) and the inner diameter d (mm, of the bore, fitting the shaft). The mean diameter is the average of the bore diameter (seating on the shaft) and the outer diameter (seating in the housing), and roughly represents the diameter of the CIRCLE described by the rolling-element centers (the pitch diameter). It is a fundamental bearing geometric parameter, used in several calculations: in the SPEED FACTOR n·d_m (governing limit speed and heating), in estimating the rolling-element peripheral velocity, in the characteristic defect frequencies (used in vibration analysis for diagnosis — the ball-pass frequencies of inner/outer race, BPFI/BPFO, depend on d_m), and in the cage rotation speed. The mean diameter is the compact way to characterize a bearing's 'size' for these kinematic and dynamic calculations, without needing the internal details (number and diameter of rolling elements, contact angle). The outer D and inner d diameters are the basic catalog dimensions of any bearing (with the width), and d_m derives directly from them. Enter the outer and inner diameters.
Brake Temperature Rise
Estimate a brake's temperature rise from one braking, ΔT = E ÷ (m·c), from the braking dissipated energy E (J), the mass of the heat-absorbing component m (kg, the disc or drum) and the material specific heat c (J/(kg·°C), ~460 for steel, ~900 for aluminum). When a brake dissipates a braking's kinetic energy (converting it to heat), this heat is initially ABSORBED by the disc or drum mass, raising its temperature. This formula estimates that rise assuming ALL the heat goes into the component mass, with no loss to the environment (a conservative assumption, valid for a quick, isolated braking — in prolonged braking, part of the heat is dissipated by convection and radiation simultaneously). The temperature rise is critical because friction materials have a thermal limit: above a certain temperature (300-500°C for organic materials, more for metallic/ceramic), friction drops sharply (the FADING phenomenon, which has caused many mountain-descent accidents), the material degrades, and the disc can warp or crack from thermal shock. So severe-duty brakes use large discs (more mass, more heat-absorbing capacity), vented (more dissipation) and high-melting-point materials. This calculation is the heart of brake THERMAL design. Enter the dissipated energy, the mass and the specific heat.
Pile Downdrag (Negative Skin Friction)
Calculate the negative skin friction (downdrag) force on a pile, F_n = f_n·A_s, from the unit negative friction f_n (kPa) and the affected lateral surface area A_s (m²). Negative friction is a DANGEROUS, counterintuitive phenomenon: normally side friction HELPS the pile (resists the load, positive friction, soil holding the pile up); but when the SURROUNDING SOIL SETTLES MORE than the pile — which happens with a soft consolidating layer (from recent overlying fill, water-table lowering, or natural consolidation) — the soil 'goes down' relative to the pile and, instead of holding it, DRAGS the pile DOWN by friction. This negative friction is NOT a resistance: it is an ADDITIONAL LOAD imposed on the pile, adding to the structure load and to be carried by the tip and the positive friction of deeper layers. Ignoring downdrag is a classic cause of excessive settlement or pile failure in soft-soil-and-fill ground. Mitigation includes coating the pile with bitumen (reducing f_n) in the affected zone, or simply sizing the pile for the extra load. Computing F_n is essential in any deep-foundation design on consolidating compressible layers. Enter the unit negative friction and the affected lateral area.
Prestress Moment
Calculate the moment generated by eccentric prestressing at a section, M_p = P·e, from the prestressing force P (kN) and the tendon eccentricity e (m). When the prestressing tendon is positioned with ECCENTRICITY relative to the section centroid (usually below, in the region tensioned by loads), the prestressing force, besides axially compressing the section (P/A), generates a BENDING MOMENT equal to force times eccentricity. This prestress moment is the key to prestressed concrete's efficiency: it is OPPOSITE to the moment from external loads (self-weight, live loads), 'bowing' the member upward (camber) and producing top-fiber tension and bottom-fiber compression — exactly the opposite of what the load does. So eccentric prestressing 'pre-loads' the member against the service loading, so that when loads act, they must first CANCEL the prestress effects before tensioning the concrete. That is why prestressed beams often show camber (upward curvature) when still unloaded. The prestress moment is fundamental in computing edge stresses, camber and the optimal tendon profile along the member (which roughly follows the load moment diagram, with varying eccentricity). Enter the prestressing force and the eccentricity.
Discharge Pipe Diameter
Calculate the inner diameter of a discharge pipe from the flow and flow velocity, D = √(4·Q ÷ (π·v)), from the flow Q (m³/s) and the desired flow velocity v (m/s). It is the direct application of the continuity equation (Q = v·A, with A = π·D²/4), solved for the diameter: given the flow to transport and the chosen operating velocity, the required pipe diameter is obtained. In hydraulic solids transport (dredging, pipelines), the diameter choice is critical and COUPLED to the critical deposition velocity: the operating velocity must stay above the critical velocity (to avoid deposition/clogging) but not excessively high (to avoid wasting pumping energy and accelerating abrasive wear). So sizing is iterative — a diameter is chosen, the resulting velocity and corresponding critical velocity are computed, and it is adjusted until a safe, economical operating range is found. Larger diameters reduce velocity and head loss (less energy per metre) but cost more and may fall below the critical velocity; smaller diameters raise velocity and wear. This simple but essential calculation is the starting point of designing any water or slurry discharge line. Enter the flow and the flow velocity.
Residual Member Clamping Force
Calculate the residual clamping force on the members (clamped parts) of a bolted joint under external load, F_m = F_i − (1 − C)·P, from the preload F_i (N), the joint stiffness constant C and the external tensile load P (N). When an external load P tries to separate the parts, it does not go entirely to the bolt — most, (1−C)·P, acts to RELIEVE the compression between the members. The residual force F_m is how much clamping STILL holds the parts together after the external load is applied. This value is crucial for several reasons: while F_m stays POSITIVE (compression), the joint is closed and tight, and the bolt is protected (feels only C·P); if F_m reaches ZERO, the joint SEPARATES (and the bolt takes the whole load). In SEALED joints (gaskets, engine joints, pressurized pipe flanges), the residual member force is what keeps the seal compressed and prevents leaks — so it must stay above a minimum value, even under maximum service load (internal pressure, for example). Computing F_m is essential to ensure the joint stays tight and sealed in operation, and it is the criterion that sets the minimum required preload. Enter the preload, the stiffness constant and the external load.
Gear Base Pitch
Calculate the base pitch of an involute gear, p_b = π·m·cos(φ), from the module m (mm) and the pressure angle φ (degrees). The base pitch is the distance between two homologous flanks of consecutive teeth, measured along the base circle (or, equivalently, along the line of action) — different from the circular pitch (π·m), measured on the pitch circle. The base pitch is a FUNDAMENTAL property of involute meshing for an elegant reason: for two meshes to transmit motion correctly, they must have the SAME base pitch — it is the conjugacy condition of involute profiles. Moreover, the base pitch appears directly in the CONTACT RATIO (the average number of teeth in simultaneous contact, found by dividing the line-of-action length by the base pitch): a contact ratio above 1 (ideally above 1.4) ensures there is always at least one tooth pair meshed, transmitting motion continuously and smoothly, without impacts. The base pitch is also the basis of checking gears 'over two pins' or by span measurement (W over teeth), classic dimensional-control methods. It is an essential parameter in gear geometry and metrology. Enter the module and the pressure angle.
Geosynthetic Rupture Safety Factor
Calculate the safety factor against tensile rupture of a geosynthetic reinforcement layer, FS = T_adm ÷ T_req, from the allowable tensile strength T_adm (kN/m, the ultimate already reduced by creep, installation-damage and degradation factors) and the required tension T_req (kN/m, the force the soil demands at that layer). This is the final design check for a reinforcement layer: the available (allowable) strength must exceed the demand (required) with an adequate margin. Reinforced-soil codes require tensile-rupture safety factors typically around 1.3-1.5 (since many uncertainties — creep, damage, degradation — are already covered by the partial reduction factors embedded in T_adm). If FS is below the required, a stronger geosynthetic is chosen, the layer spacing reduced (lowering T_req per layer) or both. Besides tensile rupture (this calculation), reinforced-soil design also checks PULLOUT stability (sufficient anchorage), INTERNAL stability (failure surfaces cutting the reinforcements), EXTERNAL stability (sliding, overturning and bearing capacity of the whole mass) and deformations. This rupture FS is one of the fundamental checks. Enter the allowable strength and the required tension.
Cutting Clearance (Punch-Die)
Calculate the per-side cutting clearance between punch and die in sheet cutting, c = (a ÷ 100)·t, from the recommended percentage clearance a (% of thickness) and the sheet thickness t (mm). Cutting clearance is the small gap between punch and die, and one of the MOST important parameters in sheet-cut quality. As the punch descends, it shears the material, but the cut is not a clean slice: the material first deforms (roll-over), then shears giving a smooth zone (burnish), and finally FRACTURES, giving a rough zone and a burr. The correct clearance makes the cracks starting from punch and die MEET, giving a clean cut with minimal burr. The ideal clearance depends on material and thickness: typically 5-10% of thickness per side for steels (less for soft materials, more for hard). Too SMALL a clearance gives a secondary cut (double burr) and tool wear and needs more force; too LARGE gives heavy burr, distortion and poor edge quality. Getting clearance right is essential for tool life, required force and cut-part quality. Enter the recommended percentage clearance and the sheet thickness.
Chip Shear Angle
Calculate the shear-plane angle in chip formation, φ = arctan[(r_c·cos α) ÷ (1 − r_c·sin α)], from the cutting ratio r_c (undeformed chip thickness ÷ deformed chip thickness, always < 1) and the tool rake angle α (degrees). In the orthogonal cutting model (the basis of machining theory), material is not 'scraped': it undergoes intense SHEAR deformation along an inclined plane — the shear plane — where it turns from part to chip almost instantly. That plane's angle, φ, is a central measure of cutting mechanics: LARGER shear angles mean thinner chips, less deformation, lower cutting force and energy and less heat — all desirable. The angle depends on the cutting ratio (measured by comparing chip thickness to feed) and the tool rake angle: tools with more positive rake give larger shear angles and cut with less effort (but have a more fragile edge). Merchant's theory relates φ to chip-tool friction and rake angle, and predicts the angle that minimizes energy. From chip measurements, this calculation lets you analyze cutting efficiency and the influence of tool geometry and lubrication. Enter the cutting ratio and the rake angle.
Silo Emptying Time
Calculate the time to empty a silo by gravity discharge, t = M ÷ W, from the stored product mass M (kg) and the mass discharge rate W (kg/s). Since the discharge rate of a granular material through an orifice is practically CONSTANT (independent of the product height above, by the Janssen effect and per the Beverloo equation), the emptying time is simply total mass divided by rate — a direct relation, unlike a liquid's emptying, which slows as the level falls. This time is an important operational parameter in silo, hopper and storage-unit design and operation: it sets the dispatch capacity (how fast a truck, rail car or ship is loaded), sizes the downstream conveying systems (belts, bucket elevators, screws) that must match the discharge rate, and frames shift logistics and vehicle queues at grain terminals. The discharge rate W can be estimated by the Beverloo equation from the outlet diameter, closing the calculation: larger outlets discharge faster (W ∝ D₀^2.5), reducing emptying time. Enter the stored mass and the discharge rate.
Screw Degree of Fill
Calculate an extrusion screw's degree of fill, η = (actual flow ÷ drag flow) · 100, from the actual production flow and the screw's theoretical drag flow. Degree of fill measures how much of the screw's theoretical pumping capacity (the drag flow, which would occur with no back-pressure) is actually delivered as real flow — the difference is 'lost' to pressure flow (backflow from die resistance). It is thus a measure of the extruder's volumetric EFFICIENCY and operating point on the characteristic curve: a high fill (near 100%) means little back-pressure (open die, simple product); a low fill means strong back-pressure (restrictive die), with much internal backflow. In gravity-fed (flood-fed) extruders the screw runs full, and degree of fill reflects the drag-pressure balance; in metered-feed (starve-fed, common in twin-screw) extruders, degree of fill is deliberately controlled by the feed rate, decoupling flow from speed and giving independent control of residence time and shear. Knowing the degree of fill helps diagnose the process and optimize productivity. Enter the actual flow and the drag flow.
Track Sleeper Count
Calculate the number of sleepers needed in a track section, N = length ÷ spacing, from the section length (m) and the sleeper spacing (m, center to center). Sleepers (cross-ties) are the transverse track elements that carry the rails, hold the gauge (correct rail spacing), transmit rail loads to the ballast over a larger area, and anchor the track against longitudinal and lateral movement. Sleeper spacing (the 'sleeper density', typically 0.55-0.68 m, or about 1500-1900 sleepers per kilometre) is a design parameter depending on axle load, speed and sleeper type (wood, concrete, steel): heavy-haul lines use closer sleepers (more per km) to better spread high loads. This is essential for quantity take-off and budgeting of railway construction or renewal, since sleepers are a main track input, and for laying logistics planning. Enter the section length and the sleeper spacing.
Approach Surface Height
Calculate the height of an approach surface (or other obstacle limitation surface) at a given distance, h = (gradient ÷ 100) · distance, from the ramp gradient (%) and the horizontal distance from the surface origin (m). Obstacle Limitation Surfaces (OLS) are imaginary inclined planes projected from runway thresholds and around runways, defined by ICAO, delimiting the airspace that must stay clear of obstacles for safe landing and takeoff. The approach surface, for example, rises at a typical 2% (1:50) gradient from the runway strip end; any object (building, antenna, tree, terrain) penetrating it is an obstacle to be removed, lowered, marked/lit or, ultimately, leading to operational restrictions. This calculation gives the maximum allowed surface height at each point, to compare with the actual height of existing or proposed obstacles around the airport — the basis of land-use control in airport protection zones and the assessment of new developments. Enter the gradient and the distance.
Reservoir Life (Sedimentation)
Estimate a reservoir's useful life from sedimentation, Vu = V ÷ V_s, from the reservoir's useful (or total) volume V (m³) and the sediment volume deposited per year V_s (m³/year). Every reservoir, by impounding a river, slows the flow and makes water lose its sediment-carrying capacity — sand, silt and clay from the watershed settle on the bottom, gradually reducing storage. The useful life is the number of years until sedimentation impairs the reservoir's function (power, supply, regulation). It is a crucial design parameter in hydrology and watershed management: reservoirs in basins with erodible soils, deforestation or intensive agriculture silt up fast (decades), while well-conserved basins last centuries. The sediment inflow V_s comes from the basin's sediment yield and the reservoir's trap efficiency (Brune curve). The simple constant-rate model gives the order of magnitude. Conserving the basin and flushing through bottom outlets extend the life. Enter the reservoir volume and the annual sediment inflow.
Annular Grout Volume (Backfill)
Calculate the theoretical annular backfill grout volume per lining ring of a mechanized tunnel, V = (π/4)·(De² − Di²)·L, from the excavation diameter De (the TBM cutterhead cutting diameter), the segment ring outer diameter Di and the ring length L. Behind the TBM shield an annular gap forms (between excavated ground and lining, from overcut and shield taper) that must be filled immediately with grout injected through the tail. This filling is essential: it prevents ground relaxation (reducing volume loss and surface settlement), locks the ring in place and ensures uniform ground-lining contact. Actual injected volume exceeds theoretical (factor 1.1-1.5). Enter the excavation and ring diameters and the ring length.
Energy per Elevator Trip
Calculate the potential energy spent to raise a load, E = m·g·h, from the unbalanced mass m (net load after the counterweight, kg), gravity g and the lift height h (m). The result, in joules, is the minimum theoretical energy to hoist the load — a basis for estimating the elevator's electrical consumption and the energy-regeneration potential. Modern elevators with regenerative drives recover part of this energy on descent (when the counterweight descends with a light car), feeding it back to the grid. Actual consumption is higher, divided by the efficiency. Enter the unbalanced mass and the lift height.
Capture–Recapture Population (Lincoln–Petersen)
Estimates the size of an animal population with the Lincoln–Petersen method: N = (M × C) ÷ R, where M is the number marked in the first sample, C the total caught in the second, and R how many of those were already marked. It is the workhorse of field ecology for counting fish in a pond, ringed birds, or small mammals without trapping every individual. The method assumes a closed population and that marking does not change the odds of recapture. Enter the three counts from your two sampling rounds to get the estimate.
Margalef Richness Index
Computes Margalef's species richness with D = (S − 1) ÷ ln(N), where S is the number of species recorded and N the total individuals sampled. Unlike a raw species count, the index corrects for sample size — larger communities pile up more species simply because they hold more individuals. Ecologists rely on it to compare diversity across sites surveyed with different effort. Type the species count and the total number of individuals from your survey.
Respiratory Quotient (RQ)
Divides carbon dioxide produced by oxygen consumed (RQ = VCO₂ ÷ VO₂) to reveal which fuel the body is burning. A value near 0.7 points to fat, around 0.85 to a mix of substrates, and close to 1.0 to pure carbohydrate. Dietitians, exercise physiologists, and ICU teams read this number off indirect calorimetry tests. Enter the volume of CO₂ exhaled and the O₂ consumed, in the same unit, to see the quotient.
Brewster's Angle
Finds Brewster's angle, θ = arctan(n₂ ÷ n₁), the incidence at which reflected light becomes fully polarized in a single plane. It is the principle behind polarized lenses that cut glare off water and asphalt, and the setting where photographers rotate a filter to darken the sky. For a typical air–glass interface (n₁ = 1, n₂ = 1.5) the angle lands near 56°. Enter the refractive index of both media to get the angle in degrees.
Radiation Pressure
Computes the pressure light exerts when it hits a surface: P = (1 + R) × I ÷ c, where I is the beam intensity, c the speed of light, and R the reflectivity (0 for a body that absorbs everything, 1 for a perfect mirror). The effect is tiny — sunlight at the top of the atmosphere pushes with about 4.5 µPa — yet it drives solar sails and bends the tails of comets. Enter the intensity in W/m² and the surface reflectivity to see the pressure.
Mean Molecular Speed of a Gas
Applies kinetic gas theory to find the mean molecular speed, v = √(8RT ÷ πM), from temperature T in kelvin and molar mass M. This is the arithmetic mean of the Maxwell–Boltzmann distribution, slightly lower than the root-mean-square speed. At room temperature the nitrogen molecules in air travel near 475 m/s, faster than the speed of sound. Enter the temperature and molar mass in g/mol to get the result in m/s.
Drug Accumulation Ratio
Shows how much a drug builds up with repeated dosing through the accumulation ratio, R = 1 ÷ (1 − e^(−0.693 × τ ÷ t½)), which depends only on the dosing interval τ and the half-life t½. When the interval equals the half-life, steady-state concentration reaches twice the first dose; intervals shorter than the half-life accumulate more. This is the calculation behind dosing adjustments and the time to steady state. Enter the dosing interval and the half-life in the same time unit.
Therapeutic Index
Divides the median lethal dose by the median effective dose (TI = LD₅₀ ÷ ED₅₀) to gauge a drug's safety margin. The higher the number, the wider the gap between the dose that treats and the one that poisons: penicillin tops 100, while warfarin and digoxin sit below 10 and demand blood monitoring. It is a core idea in pharmacology and toxicology for ranking risk. Enter the LD₅₀ and the ED₅₀ in the same unit to get the index.
Manhattan Distance
Adds the absolute differences of the coordinates, d = |x₁ − x₂| + |y₁ − y₂|, measuring the path the way you walk city blocks instead of cutting across the diagonal. That is why it is also called taxicab distance: the real route on a grid of perpendicular streets. It shows up often in machine learning, routing, and vector similarity. Enter the coordinates of the two points to see the distance.
Chebyshev Distance
Takes the largest of the absolute coordinate differences, d = max(|x₁ − x₂|, |y₁ − y₂|), which is exactly how many moves a chess king needs to reach a square, since it also steps diagonally. Also called chessboard distance, it applies in automated-warehouse logistics and image processing. It is the limiting case of the Minkowski distance as the exponent goes to infinity. Type the coordinates of the two points to compute it.
Pielou's Evenness Index
Measures how evenly individuals are spread among species in a community with Pielou's evenness, J' = H' ÷ ln(S), where H' is the Shannon index and S the number of species. The result runs from 0 to 1: close to 1 every species has a similar abundance, while low values reveal that a few species dominate the sample. Ecologists use this ratio to separate the effect of richness from the effect of dominance on diversity. Enter the Shannon value you already calculated and the number of species.
Sørensen Similarity Index
Compares two communities with the Sørensen coefficient, QS = 2C ÷ (A + B), where A and B are the species counts of each site and C the species found in both. The index runs from 0, when nothing is shared, to 1, when the two lists are identical, giving double weight to the shared species. It is one of the most widely used similarity coefficients in flora and fauna surveys, close to the Jaccard index but more sensitive to matches. Enter how many species each site holds and how many they share.
Knudsen Number
Compares the mean free path of molecules with the size of the system through the Knudsen number, Kn = λ ÷ L, which tells whether a gas behaves as a continuous fluid or as isolated particles. Below 0.01 classical fluid mechanics holds; above 10 the flow is free-molecular, the regime of microchannels, vacuum, and spacecraft re-entry. The middle range calls for slip or transitional models. Enter the mean free path and the characteristic length in the same unit.
Strouhal Number
Relates the frequency at which vortices shed from an obstacle to the flow speed through the Strouhal number, St = f·L ÷ v. For a cylinder in a stream of air or water the value stays near 0.2 over a wide range of speeds — it is what makes wires sing in the wind and what engineers check to avoid resonance in chimneys and cables. Enter the shedding frequency, the characteristic length, and the fluid speed. The result is dimensionless.
Bond (Eötvös) Number
Weighs the force of gravity against surface tension in a liquid through the Bond (or Eötvös) number, Bo = Δρ·g·L² ÷ σ, using g = 9.81 m/s². When Bo is small surface tension rules and the drop stays spherical; when it is large gravity flattens the liquid and governs the shape of puddles and menisci. It is required reading in microfluidics, coatings, and the physics of bubbles and drops. Enter the density difference, the characteristic length, and the surface tension in SI units.
Hepatic Extraction Ratio
Calculates the fraction of a drug the liver removes in a single pass through the extraction ratio, E = (Ca − Cv) ÷ Ca, comparing the concentration entering by the artery with the one leaving by the vein. Values above 0.7 mark high-extraction drugs, whose clearance depends on hepatic blood flow; below 0.3 clearance leans more on enzymes and the free fraction. It is the basis for predicting first-pass effect and drug interactions. Enter the arterial and venous concentrations in the same unit.
Absolute Bioavailability
Measures what fraction of an oral dose actually reaches the circulation compared with the intravenous route, F = (AUC_oral × Dose_iv) ÷ (AUC_iv × Dose_oral). The intravenous route delivers 100% by definition, so the ratio of the areas under the curve, corrected for the doses, reveals what was lost to absorption and first-pass metabolism. An F of 0.3 means only 30% of the tablet became active drug in the blood. Enter the two AUCs and the two matching doses.
Pearson Skewness Coefficient
Shows which way a distribution leans through Pearson's second skewness coefficient, Sk = 3·(mean − median) ÷ standard deviation. A positive result points to a tail stretched to the right, negative to the left, and zero suggests symmetry as in the normal curve. It is a quick way to spot skew without computing the third moment, handy in descriptive statistics and quality control. Enter the mean, the median, and the standard deviation of the sample.
Minkowski Distance
Generalizes the Manhattan and Chebyshev distances into a single formula, d = (|x₁ − x₂|ᵖ + |y₁ − y₂|ᵖ)^(1/p), where the exponent p picks the metric. With p = 1 it falls back to block distance, with p = 2 it becomes the familiar Euclidean one, and as p grows it approaches the maximum of the differences. That single parameter makes the Minkowski distance a versatile tool in machine learning and clustering. Enter the coordinates of the two points and the order p you want.
Standard Error of a Proportion
Calculates the uncertainty of a sample proportion through the standard error, SE = √(p·(1 − p) ÷ n), where p is the observed proportion and n the sample size. This value is the missing step for building the margin of error of an election poll or a conversion rate: multiply it by 1.96 and you have the 95% interval. Note that uncertainty peaks when p is near 0.5 and falls as the sample grows. Enter the proportion, between 0 and 1, and the number of observations.
Tobin's Q Ratio
Compares a company's market value with the cost of replacing its assets through Tobin's Q, Q = market value ÷ replacement value. Above 1 the market pays more than it would cost to rebuild the company from scratch, a sign of intangible assets or growth expectations; below 1 it suggests buying the firm is cheaper than building an equal one. Economists and analysts use this ratio to gauge bubbles, investment decisions, and the appetite for capital. Enter the market value and the replacement value of the assets.
Relative Risk (RR)
Calculates how many times more likely an outcome is in the exposed group than in the unexposed one through the relative risk, RR = [a ÷ (a + b)] ÷ [c ÷ (c + d)], from a 2×2 table. An RR of 1 means no association, above 1 points to a risk factor, and below 1 to a protective one, as happens with vaccines. It is the central measure of cohort studies in epidemiology and clinical trials. Enter the four table values: exposed and unexposed, with and without the outcome.
Number Needed to Treat (NNT)
Tells how many patients must receive a treatment to prevent one extra bad outcome, through the number needed to treat, NNT = 1 ÷ (CER − EER), the difference between the event rate in the control group and the treated group. A low NNT means a very efficient treatment; the larger the number, the smaller the benefit per patient. It is one of the most intuitive ways to communicate the result of a clinical trial, more tangible than relative risk. Enter the control and treated event rates, both between 0 and 1.
Galileo Number
Relates the forces of gravity and viscosity in a fluid through the Galileo number, Ga = g·L³ ÷ ν², using g = 9.81 m/s². It appears in the study of sedimentation, fluidized beds, and bubbles rising in a liquid, where it replaces the Reynolds number when the velocity is not yet known. High values mean gravity dominates viscosity. Enter the characteristic length and the kinematic viscosity in SI units; the result is dimensionless.
Plasma Frequency
Calculates the natural frequency at which the electrons in a plasma oscillate when disturbed, fp ≈ 8980·√n, with the electron density n in electrons per cubic centimeter and the result in hertz. It decides whether a radio wave passes through or is reflected by the ionosphere — below the plasma frequency the signal bounces back, which makes long-distance radio possible. It also governs the glow of laboratory plasmas and the physics inside stars. Enter the electron density.
Richardson Number
Measures the contest between buoyancy from stratification and turbulence from shear through the Richardson number, Ri = g·L·Δρ ÷ (ρ·v²). Above 0.25 stable stratification tends to suppress turbulence, common in cold air trapped under warm air and in ocean currents; below that, shear mixes everything. Meteorologists and oceanographers use this value to predict turbulence onset and pollutant dispersion. Enter the length, the density difference, the fluid density, and the velocity.
Equilibrium Constant Kp
Converts the concentration equilibrium constant into the pressure one through Kp = Kc·(R·T)^Δn, with R = 0.0821 L·atm·mol⁻¹·K⁻¹ and Δn the change in the number of moles of gas between products and reactants. When Δn is zero the two constants coincide; when there is more gas in the products, Kp exceeds Kc. It is a recurring step in chemical thermodynamics for gas-phase reactions. Enter Kc, the temperature in kelvin, and the change in moles of gas.
Maintenance Infusion Rate
Determines the continuous infusion rate that keeps a drug at the target concentration, R₀ = Css × Cl, multiplying the desired steady-state concentration by the patient's clearance. At steady state the amount entering the vein equals what the body eliminates, so this rate holds the therapeutic level without letting it build up. It is the calculation behind infusion pumps for antibiotics, sedatives, and vasoactive drugs in the ICU. Enter the target concentration and the clearance.
Kleiber's Law (Allometric Metabolism)
Estimates an animal's basal metabolic rate from its mass alone through Kleiber's law, P = 70·M^0.75, with the mass in kilograms and the result in kilocalories per day. The three-quarter exponent is one of biology's most surprising regularities: it holds from the mouse to the elephant, showing that larger animals spend less energy per kilogram than small ones. That is why a mouse eats nearly its own weight and a whale does not. Enter the body mass to estimate the resting energy expenditure.
Basic Reproduction Number (R₀)
Estimates how many people, on average, a single infected person infects in a fully susceptible population through the basic reproduction number, R₀ = β·κ·D, the product of the transmission probability per contact, the number of contacts per day, and the duration of the infectious period. When R₀ rises above 1 the epidemic grows; below 1 it dies out, the target of vaccination and isolation campaigns. It was the most talked-about number of the covid-19 pandemic. Enter the transmissibility, the daily contacts, and the infection duration.
Opportunity Cost
Calculates how much you give up by choosing one investment over the best alternative, the opportunity cost = capital × (alternative rate − chosen rate) ÷ 100. It is a concept economists hammer from day one: every resource put in one place carries the invisible price of not earning somewhere else. A positive result shows what was left on the table; negative means your choice was the more profitable one. Enter the capital, the rate of the best alternative, and the rate of the chosen option, both as percentages.
Cohen's d (Effect Size)
Measures the size of a difference between two groups in standard deviations through Cohen's d, d = (mean₁ − mean₂) ÷ standard deviation, going beyond a plain "it was significant". Cohen's convention reads 0.2 as a small effect, 0.5 as medium, and 0.8 as large, which helps compare results from studies on different scales. It is central to meta-analyses and statistical power calculations. Enter the two means and the pooled standard deviation of the sample.
Positive Likelihood Ratio (LR+)
Calculates how much a positive test raises the suspicion of a disease through the positive likelihood ratio, LR+ = sensitivity ÷ (1 − specificity). An LR+ above 10 practically confirms the diagnosis, while values near 1 barely change the probability. Unlike sensitivity alone, this ratio combines both sides of the test and feeds bedside Bayesian reasoning. Enter the test's sensitivity and specificity, both between 0 and 1.
Lewis Number
Compares heat diffusion with mass diffusion in a fluid through the Lewis number, Le = thermal diffusivity ÷ mass diffusivity. When it is near 1, heat and vapor spread at the same pace — the premise behind psychrometers and human-comfort tables for humid air. Far from 1, one transport dominates, which matters in drying, combustion, and cooling towers. Enter the two diffusivities in the same unit; the result is dimensionless.
Ohnesorge Number
Relates viscosity to inertia and surface tension in a liquid through the Ohnesorge number, Oh = μ ÷ √(ρ·σ·L). It predicts whether a drop will break cleanly or stretch into filaments, which decides the quality of inkjet printing, sprays, and atomizers. Low values mean drops form without viscous resistance. Enter the dynamic viscosity, density, surface tension, and characteristic length in SI units.
Hartmann Number
Measures the strength of the magnetic field against viscosity in a conducting fluid through the Hartmann number, Ha = B·L·√(σ ÷ μ). When it is large, the magnetic field brakes and reshapes the flow, the principle of electromagnetic pumps, fusion-reactor cooling, and liquid-metal metallurgy. Squared, it compares the Lorentz and viscous forces. Enter the magnetic field, the length, the electrical conductivity, and the dynamic viscosity in SI units.
Dulong–Petit Law
Estimates the specific heat of a solid element from its molar mass alone through the Dulong–Petit law, c ≈ 3R ÷ M, with R = 8.314 J·mol⁻¹·K⁻¹. The rule, found in 1819, says nearly all crystalline solids store the same energy per atom — which is why heavy metals like lead have low specific heat and light ones high. It holds well at room temperature and fails near absolute zero. Enter the element's molar mass in grams per mole.
Selectivity Index
Assesses the safety margin of a drug candidate through the selectivity index, SI = CC₅₀ ÷ IC₅₀, the ratio between the concentration that kills half of healthy cells and the one that inhibits half of the target. The higher the number, the more the compound attacks the pathogen or tumor without harming normal tissue; values above 10 are often the threshold to advance research. It is required reading in the in-vitro screening of antivirals and antitumor agents. Enter the cytotoxic CC₅₀ and the inhibitory IC₅₀ in the same unit.
Q10 Temperature Coefficient
Shows how many times the rate of a biological process changes every 10 °C through the coefficient Q₁₀ = (R₂ ÷ R₁)^(10 ÷ (T₂ − T₁)). Most metabolic reactions have a Q₁₀ between 2 and 3, meaning they roughly double every ten degrees — which explains why lizards turn sluggish in the cold and why fever speeds up the body. A Q₁₀ near 1 points to a process almost indifferent to temperature. Enter the rates measured at two temperatures and the two temperature values.
Heritability (h²)
Calculates what fraction of a trait's variation comes from genes rather than the environment through heritability, h² = additive genetic variance ÷ phenotypic variance. An h² near 1 means the observed differences are almost all hereditary; near 0, the environment rules. It is the compass of plant and animal breeding and a central — and widely misread — concept in population genetics. Enter the additive genetic variance and the phenotypic variance of the trait.
Basel Capital Adequacy Ratio
Measures a bank's soundness through the Basel ratio, CAR = reference capital ÷ risk-weighted assets × 100, the cushion of own capital that shields the institution from defaults and losses. The Basel Accord requires at least 8%, and Brazil's Central Bank raises the bar to 11%: below that the bank must recapitalize or cut risk. The higher the ratio, the more crisis-resistant the institution. Enter the reference capital and the total risk-weighted assets.
Contingency Coefficient
Measures the strength of association between two categorical variables through Pearson's contingency coefficient, C = √(χ² ÷ (χ² + n)), from the chi-square of the cross-tabulation and the sample size. Zero means total independence and values near the maximum point to strong dependence between categories, though C never quite reaches 1. It is a quick way to turn a significant chi-square test into a measure of intensity. Enter the chi-square value and the total number of observations.
Phi Coefficient (φ)
Calculates the correlation between two binary variables through the φ coefficient, φ = (a·d − b·c) ÷ √((a+b)(c+d)(a+c)(b+d)), built from the four cells of a 2×2 table. The result runs from −1 to +1 like an ordinary Pearson correlation, and it is identical to the Matthews correlation coefficient (MCC) so widely used to score classifiers in machine learning. Values near zero mean the two variables have little to do with each other. Enter the four values of the 2×2 table.
Capillary Length
Calculates the capillary length of a liquid, Lc = √(γ ÷ (ρ·g)), the scale at which surface tension matches gravity, using g = 9.81 m/s². Below it capillary forces rule and the drop keeps a rounded shape; above it gravity flattens the liquid into a puddle. For water it is about 2.7 mm — which is why small drops are nearly spherical and large ones spread out. Enter the surface tension and the density of the liquid in SI units; the result comes out in millimeters.
Laplace Pressure (Soap Bubble)
Calculates the extra pressure inside a soap bubble through the Young–Laplace law, ΔP = 4γ ÷ r, where the factor of 4 comes from the film's two surfaces — inner and outer. That is why small bubbles hold higher pressure than large ones, and when two meet the smaller empties into the larger. For a liquid drop, with a single surface, the factor drops to 2. Enter the surface tension and the bubble radius in SI units.
Helmholtz Free Energy
Calculates the Helmholtz free energy, A = U − T·S, the portion of a system's internal energy that can become useful work at constant temperature and volume. It is the state function of choice when volume is fixed, the role Gibbs energy plays at constant pressure; its decrease marks the spontaneous direction of an isothermal process. It shows up in physical chemistry, statistical thermodynamics, and the study of phase equilibria. Enter the internal energy, the temperature in kelvin, and the entropy.
Reaction Conversion (Degree)
Measures how much of a reactant was actually consumed in a reaction through the degree of conversion, X = (n₀ − n) ÷ n₀ × 100, comparing the initial moles with those left over. A hundred percent means a complete reaction; low values reveal an unfavorable equilibrium or short contact time. It is the key performance indicator of reactors in chemical engineering, the starting point for sizing the process and computing yield. Enter the initial and final moles of the reactant.
Inhibitory Quotient (Cmax/MIC)
Assesses an antibiotic's potency through the inhibitory quotient, IQ = Cmax ÷ MIC, the ratio between the peak concentration the drug reaches in the blood and the minimum inhibitory concentration that halts the microbe's growth. For concentration-dependent antibiotics like the aminoglycosides, a high IQ — usually above 8 to 10 — predicts better efficacy and less resistance. It is a pillar of pharmacodynamics that guides dose selection. Enter the peak concentration and the MIC in the same unit.
Fulton's Condition Factor (K)
Assesses a fish's nutritional state through Fulton's condition factor, K = 100 × weight ÷ length³, which compares the actual weight to what is expected for a healthily proportioned body. A higher K means a sturdier, well-fed fish, while low values suggest starvation, disease, or recent spawning. Fisheries biologists use this simple index to monitor populations and habitat quality. Enter the weight in grams and the length in centimeters.
Instantaneous Mortality Rate (Z)
Estimates the total mortality rate of a fish stock from the catch curve, Z = ln(N₀ ÷ Nₜ) ÷ t, the instantaneous coefficient that combines natural and fishing mortality. Unlike a plain percentage, Z is an exponential rate: a value of 1 per year means about 37% of the group remains each year. It is central to fish-stock assessment and the calculation of sustainable catch. Enter the initial number, the final number, and the elapsed time in years.
Bank Interest Spread
Calculates the bank spread, the gap between the rate a bank charges on loans and the one it pays to raise money: spread = lending rate − funding rate. This margin covers default risk, taxes, operating costs, and the institution's profit — and in Brazil it is among the highest in the world. Watching the spread helps explain why the borrower's interest is so much higher than what savings accounts pay. Enter the lending rate and the funding rate, on the same basis.
Scalar Triple Product
Computes the scalar triple product of three vectors, a·(b×c), which combines a cross product followed by a dot product and yields a single number. Its absolute value is exactly the volume of the parallelepiped formed by the three vectors — and when it is zero, the vectors are coplanar, lying in the same plane. It is a routine tool in analytic geometry, physics, and computer graphics. Enter the x, y, and z components of the three vectors.
Eckert Number
Relates the kinetic energy of a flow to its thermal energy through the Eckert number, Ec = v² ÷ (cp·ΔT). When it is small, viscous frictional heating is negligible and the fluid temperature barely feels the motion; when it grows, dissipation becomes a heat source — the case of spacecraft re-entry and hypersonic flows. It appears alongside the Prandtl and Brinkman numbers in convective heat transfer. Enter the velocity, the specific heat, and the temperature difference in SI units.
Rossby Number
Measures the importance of Earth's rotation in a flow through the Rossby number, Ro = U ÷ (f·L), comparing the fluid's inertia with the Coriolis force. Small values, typical of ocean currents and large-scale weather systems, mean rotation dominates and the fluid follows curved paths; large values appear in sink whirlpools, where rotation is irrelevant. Meteorologists and oceanographers live by this parameter. Enter the velocity, the Coriolis parameter, and the characteristic length.
Kelvin Equation (Vapor Pressure)
Calculates how the curvature of a droplet changes its vapor pressure through the Kelvin equation, p/p₀ = exp(2γ·V_m ÷ (r·R·T)). Tiny droplets evaporate more easily than flat surfaces because their molecules are less tightly held — an effect that governs cloud formation, condensation in pores, and the aging of emulsions. For a radius of a few nanometers the ratio shoots well above 1. Enter the surface tension, the molar volume, the droplet radius, and the temperature in SI units.
Average Reaction Rate
Calculates the average rate of a chemical reaction, v = Δ[C] ÷ (coefficient × Δt), dividing a species' concentration change by the time and by its stoichiometric coefficient. Dividing by the coefficient is what makes the rate give the same value no matter which species you pick to measure. It is the starting point of chemical kinetics, before diving into reaction order and rate constant. Enter the concentration change, the stoichiometric coefficient, and the time interval.
Morphine Milligram Equivalent (MME)
Converts an opioid dose into its oral morphine equivalent (MME), daily MME = dose per administration × administrations per day × the opioid's conversion factor. Since each opioid has a different potency, this common denominator lets you compare prescriptions, rotate between drugs safely, and gauge risk: daily doses above 50 MME already call for extra caution. It is a routine calculation in chronic pain and palliative care. Enter the dose per administration, the daily frequency, and the opioid's conversion factor.
Renal Extraction Ratio
Calculates the fraction of a drug the kidneys remove from the blood in a single pass through the renal extraction ratio, E = (Ca − Cv) ÷ Ca, comparing the concentration in the renal artery with the one in the renal vein. High values mark drugs efficiently cleared by the kidney, whose elimination tracks renal blood flow; low values point to a reliance on active tubular secretion or filtration. It is a core concept of renal pharmacokinetics and dose adjustment in kidney failure. Enter the renal arterial and venous concentrations in the same unit.
Linkage Disequilibrium (D)
Measures how much two alleles from different genes show up together more (or less) than chance would predict, through the linkage disequilibrium D = freq(AB) − freq(A)·freq(B). When D is zero, the alleles combine independently; nonzero values reveal that the genes are inherited as a block, because they sit physically close on the chromosome or are under joint selection. It is one of the most-used measures in population genetics and disease mapping. Enter the AB haplotype frequency and the allele frequencies of A and B.
Relative Growth Rate (RGR)
Calculates an organism's relative growth rate, RGR = (ln W₂ − ln W₁) ÷ (t₂ − t₁), the mass gained per unit of existing mass over time. Unlike absolute growth, it puts a seedling and a mature tree on the same scale, revealing which grows faster in proportional terms. It is the standard measure in plant physiology and crop-productivity studies. Enter the initial mass, the final mass, and the elapsed time.
Triangular Number
Calculates the n-th triangular number, T(n) = n·(n+1) ÷ 2, the count of dots that fill a triangle with n dots on each side — 1, 3, 6, 10, 15, and so on. It is also the sum of every integer from 1 to n, the shortcut legend credits to a young Gauss. They appear in combinatorics, in the handshakes of a room, and even in stacking oranges. Enter the value of n.
Sum of the First Cubes
Sums the cubes of the first n integers, 1³ + 2³ + … + n³, through the closed form (n·(n+1) ÷ 2)². The result holds one of math's most elegant identities: the sum of cubes is exactly the square of the sum of the numbers — that is, the square of the n-th triangular number. That is why 1 + 8 + 27 + 64 equals 100, which is 10². Enter the value of n to get the sum without adding term by term.
Dean Number
Measures the strength of the swirling secondary flow that arises when a fluid runs through a curved pipe, through the Dean number, De = Re·√(d ÷ D), with d the pipe diameter and D the coil diameter. The tighter the curve and the faster the flow, the larger the De and the stronger the vortices that mix the fluid — an effect exploited in heat exchangers and microchannels. Enter the Reynolds number, the pipe diameter, and the coil diameter.
Graetz Number
Relates the thermal entry length of a pipe flow to its development, through the Graetz number, Gz = (D ÷ L)·Re·Pr. High values mean the fluid is still heating or cooling along the wall, with the temperature profile still forming; low values mean a thermally developed flow. It is key to the design of compact heat exchangers and to convection in ducts. Enter the diameter, the length, the Reynolds number, and the Prandtl number.
Molar Heat Capacity
Calculates the molar heat capacity of a substance, Cm = Q ÷ (n·ΔT), the heat needed to raise the temperature of one mole by one degree. Unlike specific heat, which works per gram, the molar version lets you compare substances atom by atom and appears directly in thermodynamics tables. For many solids it hovers around 25 J per mole per kelvin, the value predicted by the Dulong–Petit law. Enter the heat supplied, the number of moles, and the temperature change.
Absorption Rate Constant (ka)
Calculates a drug's absorption rate constant, ka = ln(2) ÷ t½, from the absorption half-life — the time for half the dose to leave the gut and reach the bloodstream. A high ka means a fast onset of action, typical of immediate-release tablets; a low ka appears in extended-release formulations. It is a central parameter of oral pharmacokinetic models. Enter the absorption half-life in hours.
Concentration Fluctuation Index
Measures how much a drug's concentration rises and falls between one dose and the next through the fluctuation index, FI = (Cmax − Cmin) ÷ Cmin × 100. A large fluctuation means high peaks followed by low troughs, risking toxicity at the top and loss of effect at the bottom; a small fluctuation means steady levels, the goal of controlled-release formulations. Shortening the dosing interval or using extended release lowers the index. Enter the peak and trough concentrations in the interval.
Drug Body Load
Calculates the total amount of a drug present in the body, A = C × Vd, multiplying the plasma concentration by the volume of distribution. Since Vd is usually far larger than the actual blood volume, the body load reveals how much of the drug has hidden in the tissues, out of reach of a simple blood measurement. It is the basis for computing loading doses and understanding half-life. Enter the plasma concentration and the volume of distribution.
Population Density
Calculates population density, D = N ÷ A, dividing the number of individuals by the area they occupy. It is the most basic measure of population ecology and demography, a basis for estimating resource competition, epidemic risk, and an environment's carrying capacity. The same calculation works for bacteria on a plate, trees in a forest, or people in a city. Enter the number of individuals and the area.
Net Primary Production (NPP)
Calculates the net primary production of an ecosystem, NPP = gross production − respiration, the amount of organic matter plants actually make available after subtracting what they burn to live. It is this surplus that sustains every other level of the food chain and that defines the productivity of forests, oceans, and croplands. It is measured in mass of carbon per area per time. Enter the gross primary production and the respiration over the same period.
Pentagonal Number
Calculates the n-th pentagonal number, P(n) = n·(3n − 1) ÷ 2, the count of dots that form nested pentagons — 1, 5, 12, 22, 35, and so on. These figurate numbers appear in Euler's famous pentagonal number theorem, which links the partitions of an integer to a surprising alternating sum. They also show up in stacking puzzles and number theory. Enter the value of n.
Hexagonal Number
Calculates the n-th hexagonal number, H(n) = n·(2n − 1), the count of dots that draw growing hexagons — 1, 6, 15, 28, 45, and so on. Every hexagonal number is also triangular, an elegant coincidence not all figurate numbers share. They appear in combinatorics, in arranging coins, and in number-theory problems. Enter the value of n.
Ekman Number
Compares viscous forces with the Coriolis force in a rotating fluid through the Ekman number, Ek = ν ÷ (f·L²). Very small values, typical of oceans and the atmosphere, mean rotation dominates and the thin Ekman layer forms, where wind bends the currents; large values appear when viscosity rules. It is a central parameter of geophysical fluid dynamics. Enter the kinematic viscosity, the Coriolis parameter, and the characteristic length.
Densimetric Froude Number
Measures the contest between inertia and buoyancy in a stratified flow through the densimetric Froude number, Fr′ = U ÷ √(g′·L), where g′ = g·Δρ ÷ ρ is the gravity reduced by the density difference. Below 1 stratification holds the fluid in layers; above it inertia breaks the stratification and mixes everything. It governs density currents, pollutant plumes, and air exchange between rooms. Enter the velocity, the density difference, the reference density, and the length.
Acid Value (Oils and Fats)
Calculates the acid value of an oil or fat, AV = (V·N·56.1) ÷ m, in milligrams of potassium hydroxide per gram of sample, from the volume and normality of KOH used in the titration. The higher the value, the more free fatty acids — a sign of old, poorly stored, or rancid oil, and a quality criterion in the food industry and biodiesel production. The number 56.1 is the molar mass of KOH. Enter the KOH volume, the normality, and the sample mass.
Relative Bioavailability
Compares how much active drug two products deliver to the circulation through relative bioavailability, F_rel = (AUC_test × Dose_ref) ÷ (AUC_ref × Dose_test). Unlike absolute bioavailability, which uses the intravenous route as the standard, here the reference is another oral formulation — it is the calculation behind bioequivalence studies between a generic and the brand-name drug. A value near 1 means the two behave the same in the body. Enter the two AUCs and the two matching doses.
Corticosteroid Equivalent Dose
Converts the dose of one corticosteroid into the equivalent dose of another through the anti-inflammatory potency ratio, target_dose = source_dose × (source_potency ÷ target_potency). Since hydrocortisone, prednisone, and dexamethasone have very different potencies, this calculation lets you switch drugs without raising or lowering the treatment's intensity — an essential step in tapering and rotating glucocorticoids. Enter the source dose and the relative potencies of each corticosteroid.
DNA Concentration (A260)
Estimates the concentration of double-stranded DNA in a sample from the absorbance at 260 nm, [DNA] = A₂₆₀ × 50 × dilution factor, in nanograms per microliter. The constant 50 holds because one absorbance unit of double-stranded DNA corresponds to about 50 ng/µL over a 1 cm path length. It is the routine reading in every molecular biology lab before a PCR or sequencing run. Enter the absorbance at 260 nm and the dilution factor used.
260/280 Purity Ratio
Assesses the purity of a nucleic acid sample through the ratio of absorbances, A₂₆₀ ÷ A₂₈₀. Pure DNA sits near 1.8 and pure RNA near 2.0; values well below reveal contamination by proteins or phenol, which absorb at 280 nm. It is the quick check that tells whether an extraction is good before spending expensive reagents on the next step. Enter the absorbances measured at 260 and 280 nanometers.
Crude Birth Rate
Calculates the crude birth rate, CBR = (births ÷ population) × 1000, the number of babies born per thousand inhabitants in a year. It is one of the oldest and most-used demographic indicators, a basis for understanding a country's growth and planning schools, hospitals, and pensions. The word crude warns that it does not adjust for age structure — which is why it travels alongside the fertility rate in finer analyses. Enter the number of births and the total population.
ROCE (Return on Capital Employed)
Measures how efficiently a company turns all the capital at its disposal into operating profit through ROCE, return on capital employed = EBIT ÷ capital employed × 100. Unlike ROE, which looks only at shareholders' equity, ROCE also includes long-term debt — that is, all the money financing the business. A ROCE consistently above the cost of capital signals a company that creates value. Enter the EBIT and the capital employed.
MOIC (Multiple on Invested Capital)
Calculates the multiple on invested capital (MOIC), total received ÷ capital deployed, the most direct way to say how many times an investment multiplied. A MOIC of 2.5x means every dollar became two and a half, without considering how long it took — which is why private equity funds use it alongside the IRR, which weighs the timeframe. It is simple but brutally honest about the gross return. Enter the total amount received and the invested capital.
Canberra Distance
Calculates the Canberra distance between two points, the sum of |xᵢ − yᵢ| ÷ (|xᵢ| + |yᵢ|) over each coordinate. Unlike Euclidean distance, it divides each difference by the scale of the values themselves, which makes it very sensitive to variations near zero — useful when small differences in small numbers matter as much as large differences in large ones. It appears in ecology, bioinformatics, and anomaly detection. Enter the coordinates of the two points.
Archimedes Number
Compares the force of gravity, driven by the density difference, with a fluid's viscous resistance through the Archimedes number, Ar = g·L³·ρ·(ρ_p − ρ) ÷ μ². It tells whether a particle will sink, float, or stay suspended, and governs sedimentation, fluidized beds, and the separation of mixtures. Like the Galileo number, it does without the velocity, which is often the very unknown. Enter the length, the fluid density, the particle density, and the viscosity.
Inductive Reactance
Calculates the inductive reactance, X_L = 2π·f·L, the opposition an inductor offers to alternating current that grows with frequency. Unlike a resistor, the inductor wastes no energy: it stores it in the magnetic field and gives it back, but it delays the current relative to the voltage. That is why coils act as filters that block high-frequency signals. The result comes out in ohms. Enter the frequency and the inductance.
Saponification Value
Calculates the saponification value of a fat, SV = (V_blank − V_sample)·N·56.1 ÷ m, in milligrams of KOH per gram, from a titration with a blank. The value is inversely proportional to the average size of the fatty acids: short-chain oils, like coconut, have a high index, while long-chain ones have a low index. It is essential in soap making and in fat quality control. Enter the blank and sample volumes, the KOH normality, and the mass.
Iodine Value
Calculates the iodine value of an oil, IV = (V_blank − V_sample)·N·12.69 ÷ m, in grams of iodine per 100 g, measuring how many double bonds the fat has. The higher the value, the more unsaturated the oil — oils like linseed top 170, while saturated fats sit near zero. It is what separates a drying oil from a stable one, and it signals the risk of oxidation and rancidity. Enter the blank and sample volumes, the normality, and the mass.
Benzodiazepine Equivalent Dose (Diazepam)
Converts the dose of a benzodiazepine into its diazepam equivalent, diazepam_dose = dose × 10 ÷ equivalent, where the equivalent is the amount of the drug corresponding to 10 mg of diazepam. Since alprazolam, clonazepam, and lorazepam have very different potencies, this common denominator is what lets you switch drugs safely and plan a gradual taper. High doses in diazepam equivalents help predict how hard withdrawal will be. Enter the dose and the equivalent of the benzodiazepine.
Primer Melting Temperature (Tm)
Estimates the melting temperature of a short primer by the Wallace rule, Tm = 4·(G + C) + 2·(A + T), adding 4 °C for each G or C base and 2 °C for each A or T. It is the back-of-the-envelope calculation molecular biologists do to choose a PCR annealing temperature, usually about 5 °C below the Tm. It works well for primers up to 14 bases; beyond that, salt-corrected formulas are more accurate. Enter how many G, C, A, and T bases the primer has.
Multiplicity of Infection (MOI)
Calculates the multiplicity of infection (MOI), the ratio between the number of infectious viral particles and the number of cells, particles ÷ cells. A MOI of 10 means ten viruses for each cell — high enough to infect almost all of them; low values leave many cells untouched, which is deliberate in some experiments. It is a key setting in virology, vaccine production, and gene therapy. Enter the number of viral particles and the number of cells.
Personal Savings Rate
Calculates the personal savings rate, how much of your income is left over and set aside, (savings ÷ income) × 100. It is the most honest gauge of a household's financial health: experts suggest saving at least 10% to 20% of what you earn, though the average often falls well below that. The higher the rate, the faster the emergency fund forms and wealth builds. Enter how much was saved and the total income for the period.
Cash Coverage Ratio
Measures a company's ability to pay its interest using the cash the business generates, through the cash coverage ratio = (operating profit + depreciation) ÷ interest expense. Unlike the traditional interest coverage, it adds back depreciation, which is not a real cash outflow — getting closer to actual cash. The higher the multiple, the more room the company has to honor its debt. Enter the operating cash and the interest expense.
Bray–Curtis Dissimilarity
Calculates the Bray–Curtis dissimilarity between two communities, Σ|xᵢ − yᵢ| ÷ Σ(xᵢ + yᵢ), from the abundances of each species at the two sites. The result runs from 0, when the communities are identical, to 1, when they share no individuals. Because it weighs the quantity of each species, not just presence, it is the favored measure in community ecology. Enter the abundances of the two species at the two sites.
Jakob Number
Compares sensible heat with latent heat in a phase change through the Jakob number, Ja = cp·ΔT ÷ L. It tells how much heat goes into changing temperature rather than changing state, and governs how fast bubbles grow in boiling and how quickly ice melts. A small Jakob means latent heat dominates, as in water; large values appear under strong superheating. Enter the specific heat, the temperature difference, and the latent heat.
Peroxide Value
Calculates the peroxide value of an oil, PV = (V_sample − V_blank)·N·1000 ÷ m, in milliequivalents of oxygen per kilogram, measuring the first stage of fat oxidation. The higher the value, the more peroxides have formed and the closer the oil is to going rancid — which is why regulations cap the index in edible oils. It is the test that anticipates the smell and taste of rancidity before they show up. Enter the sample and blank volumes, the normality, and the mass.
Total Dissolved Solids (TDS)
Estimates the total dissolved solids (TDS) of water from its electrical conductivity, TDS = conductivity × factor, with the factor between 0.5 and 0.7 depending on the salts present (0.64 is a common value). The more dissolved ions, the better water conducts electricity — so a quick electrical measurement replaces slow evaporation. It is a basic reading in aquariums, hydroponics, pools, and drinking-water control. Enter the conductivity in µS/cm and the conversion factor.
Renal Clearance (U·V/P)
Calculates the renal clearance of a substance, CL = (U × V) ÷ P, multiplying the urine concentration by the urine flow rate and dividing by the plasma concentration. The result, in milliliters per minute, gives the volume of plasma the kidneys clear completely each minute — the basis of the kidney-function measure done with creatinine or inulin. It is the classic calculation of renal physiology and pharmacokinetics. Enter the urine concentration, the urine flow, and the plasma concentration.
Protein Concentration (Bradford)
Determines a sample's protein concentration by the Bradford assay, reading the absorbance at 595 nm on the standard curve, [protein] = (A₅₉₅ − intercept) ÷ slope. The Coomassie dye shifts from brown to blue when it binds protein, and the color intensity is proportional to the amount present. It is one of the most-used methods in biochemistry for being fast and sensitive. Enter the absorbance read and the standard-line coefficients (slope and intercept).
Serial Dilution (Final Concentration)
Calculates the final concentration of a serial dilution, C_final = C_initial ÷ factorⁿ, after repeating an equal-factor dilution n times. Each step dilutes the sample by the same proportion, and the effect multiplies: three 1:10 dilutions cut the concentration a thousandfold. It is the technique that lets you count bacteria, titrate viruses, and prepare standards at minute concentrations. Enter the initial concentration, the factor of each dilution, and the number of dilutions.
PCR Efficiency (qPCR)
Calculates the efficiency of a quantitative PCR from the slope of the standard curve, E = (10^(−1/slope) − 1) × 100. A perfect reaction doubles the DNA every cycle, which corresponds to a slope of −3.32 and 100% efficiency; values between 90% and 110% are considered acceptable. Outside that range, quantification results become unreliable. It is the key check in validating any qPCR assay. Enter the slope of the standard curve.
Accounting Rate of Return (ARR)
Calculates the accounting rate of return (ARR), average annual profit ÷ average investment × 100, a simple way to assess a project using accounting net income rather than cash flow. It is easy to compute from the financial statements, but it ignores the time value of money — which is why it usually serves as a first filter, before methods like NPV and IRR. The higher the rate, the more attractive the project at first glance. Enter the average annual profit and the average investment.
Contribution Margin Ratio
Calculates the contribution margin ratio, (price − variable cost) ÷ price × 100, the slice of each sale left to cover fixed costs and form profit. It is the number that says how much each product really contributes after subtracting what varies with production — a basis for deciding product mix, discounts, and the break-even point. High margins give more room; low margins demand volume. Enter the selling price and the unit variable cost.
Digital Root
Calculates the digital root of a number, repeatedly summing its digits until a single digit remains — a shortcut the formula 1 + (n − 1) mod 9 solves at once. So 12345 becomes 1+2+3+4+5 = 15, and 15 becomes 1+5 = 6. This old calculation is the basis of casting out nines, shows up in error checks and numerology, and instantly reveals whether a number is divisible by 9. Enter the whole number.
Wave Speed on a String
Calculates the speed of a wave on a stretched string, v = √(T ÷ μ), from the string's tension and linear density. Tightening the string speeds the wave up; a thicker, heavier string slows it down — exactly what tunes the pitch of a guitar or a piano. The speed, together with the length, sets the frequency of the note you hear. Enter the tension in newtons and the linear density in kilograms per meter.
Mass Concentration (g/L)
Calculates the mass concentration of a solution, C = solute mass ÷ solution volume, in grams per liter — the most direct way to say how much of a substance is dissolved. Unlike molarity, which counts in moles, mass concentration works straight from the mass, which makes it practical on IV-bag labels, in preparing solutions, and in everyday chemistry. Enter the solute mass and the final volume of the solution.
Number of Particles (Avogadro)
Converts an amount of substance into a number of particles through Avogadro's constant, N = n × 6.022 × 10²³, the number of atoms, molecules, or ions in one mole. This giant number is the bridge between the world of grams, which we weigh, and the world of atoms, which we cannot see — a glass of water holds more molecules than there are stars in the observable universe. Enter the number of moles to get the particle count.
Mean Residence Time (MRT)
Calculates the mean residence time (MRT) of a drug, MRT = AUMC ÷ AUC, the ratio between the area under the first-moment curve and the area under the concentration curve. It tells, on average, how long a drug molecule stays in the body before being eliminated — a more robust measure than half-life for describing how long the drug persists. It is a central parameter in non-compartmental pharmacokinetics. Enter the AUMC and the AUC.
DNA Molecular Weight
Estimates the molecular weight of a double-stranded DNA fragment, MW ≈ base pairs × 650 daltons, using the average mass of a base pair. It is the quick calculation molecular biologists do to convert a fragment's size into mass, useful for computing copy number, preparing reactions in molar amounts, and interpreting gels. For single-stranded DNA, the factor drops to about 330 per base. Enter the number of base pairs.
Mitotic Index
Calculates the mitotic index, (dividing cells ÷ total cells) × 100, the fraction of a cell population in mitosis at a given moment. It is a gauge of how fast a tissue multiplies — high in plant meristems, bone marrow, and tumors; low in mature, stable tissues. Pathologists and botanists use this index to assess growth, tumor aggressiveness, and the effect of drugs. Enter the number of cells in mitosis and the total cells counted.
Demographic Dependency Ratio
Calculates the demographic dependency ratio, (youth + elderly) ÷ working-age population × 100, comparing those who need support with those who produce it. A high ratio pressures the economy and pensions, because each worker supports more people outside the labor force; a low ratio opens the so-called demographic window, when a country has more hands than dependents. Enter the youth population (0–14), the elderly (65+), and the working-age (15–64).
Average Stock Purchase Price
Calculates the average purchase price of shares bought at different times, (q₁·p₁ + q₂·p₂) ÷ (q₁ + q₂), weighting each purchase by its quantity. It is the calculation every investor needs to know their real cost after adding to a position on dips or rallies — and that the tax authority requires when computing capital gains. Buying more on the way down pulls the average price down, improving the break-even point. Enter the quantity and price of each of the two purchases.
Dividend Coverage Ratio
Measures how many times a company's earnings cover the dividends it pays through the dividend coverage ratio = earnings per share ÷ dividend per share. A value of 2 means the company paid out half of what it earned and kept the other half — slack that signals sustainable dividends. Coverage near 1, or below, raises the flag that the payout may not hold. It is essential reading for income investors. Enter the earnings per share and the dividend per share.
Sum of an Arithmetic Series
Sums every term of an arithmetic progression by Gauss's formula, Sₙ = n·(a₁ + aₙ) ÷ 2, without adding them one by one. The trick, which legend credits to the young Gauss, is to pair the first term with the last, the second with the second-to-last, and notice each pair gives the same sum. It appears in interest, counting, physics, and anywhere values grow in constant steps. Enter the first term, the last term, and the number of terms.
Areal Thermal Expansion
Calculates how much a plate's area grows when heated through areal thermal expansion, ΔA = A₀·β·ΔT, where the area coefficient β is twice the linear coefficient α. That is why a metal sheet gaining a few millimeters in length gains proportionally more in area — which matters in glass, bridges, and the fit of parts that change size with heat. Enter the initial area, the linear expansion coefficient, and the temperature change.
Alcohol Content (°GL)
Calculates the alcohol content of a drink in °GL (Gay-Lussac), (alcohol volume ÷ total volume) × 100, the percentage by volume of pure alcohol. It is the figure printed on the labels of beers, wines, and spirits: a vodka at 40 °GL has 40% of its volume in ethanol. Unlike degree by mass, °GL is simple to measure and the standard almost everywhere. Enter the volume of pure alcohol and the total volume of the drink.
Reaction Enthalpy from Bond Energies
Estimates a reaction's enthalpy from bond energies, ΔH = Σ(bonds broken) − Σ(bonds formed). Breaking bonds consumes energy and forming bonds releases it, so the balance says whether the reaction warms or cools its surroundings: a negative ΔH is exothermic, a positive one endothermic. It is the way to predict a reaction's heat when the formation enthalpy is not tabulated. Enter the summed energies of the bonds broken and the bonds formed.
Pediatric Dose (Fried's Rule)
Calculates a drug's pediatric dose by Fried's rule, dose = (age in months × adult dose) ÷ 150, an age-based estimate for when the child's weight is not available. Designed for the first two years of life, it approximates the fraction of the adult dose the child should receive. It is a quick reference, but dosing by weight or body surface area is always safer when possible. Enter the baby's age in months and the reference adult dose.
Volume of Distribution at Steady State (Vss)
Calculates a drug's volume of distribution at steady state (Vss) by non-compartmental pharmacokinetics, Vss = Dose × AUMC ÷ AUC². This apparent volume tells how far the drug spreads through tissues beyond the plasma — the larger it is, the more the drug hides outside the bloodstream. It equals the product of clearance and mean residence time and is fundamental for computing the loading dose. Enter the intravenous dose, the AUMC, and the AUC.
Protein Molecular Weight
Estimates a protein's molecular weight from its number of amino acids, MW ≈ amino acids × 110 daltons, using the average mass of a residue. It is the rule of thumb biochemists use to predict where a protein will run on a gel or to check a mass-spectrometry result. A 300-amino-acid protein weighs about 33 kDa. The factor 110 already accounts for the water lost at each peptide bond. Enter the number of amino acids.
RNA Concentration (A260)
Estimates a sample's RNA concentration from the absorbance at 260 nm, [RNA] = A₂₆₀ × 40 × dilution factor, in nanograms per microliter. The factor 40 holds for single-stranded RNA, slightly lower than the 50 for double-stranded DNA because RNA absorbs more light per mass. It is the routine reading before a reverse transcription or an RNA sequencing run. Enter the absorbance at 260 nm and the dilution factor.
Yield on Cost (YoC)
Calculates the yield on cost (YoC), the current dividend yield against the price you actually paid for the share, annual dividend ÷ purchase price × 100. Unlike the dividend yield, which uses today's market price, YoC shows how much your original purchase earns now — which is why it only grows as the company raises payouts. It is the favorite metric of long-term dividend investors. Enter the current annual dividend per share and the average price you paid.
Return on Sales (ROS)
Calculates the return on sales (ROS), the slice of each revenue dollar that becomes operating profit, operating profit ÷ net revenue × 100. It is one of the most direct efficiency indicators: it shows how much the company keeps after paying the costs of operating, before interest and taxes. Comparing ROS over time and against competitors reveals who runs leaner. Enter the operating profit and the net revenue.
Infinite Geometric Series Sum
Sums the infinite terms of a shrinking geometric progression, S = a₁ ÷ (1 − q), valid only when the ratio q has an absolute value below 1. It seems impossible to add infinitely many numbers and reach a finite total, but that is exactly what happens when each term is a fraction of the previous one — Zeno's paradox resolved by mathematics. It appears in repeating decimals, fractals, and interest. Enter the first term and the ratio of the progression.
Complex Number Modulus
Calculates the modulus of a complex number, |z| = √(a² + b²), the distance from the point z = a + bi to the origin in the complex plane. It is the same Pythagorean theorem applied to the real and imaginary parts, and it represents the magnitude of z — fundamental in signals, alternating current, and quantum physics, where the phase spins but the modulus counts. For z = 3 + 4i, the modulus is exactly 5. Enter the real and imaginary parts.
Decibel Sum (Sound Levels)
Correctly adds two sound levels in decibels, L = 10·log₁₀(10^(L₁/10) + 10^(L₂/10)), because decibels do not add like ordinary numbers. Two equal 80 dB sources do not make 160 dB, but about 83 dB — only 3 dB more, since the scale is logarithmic. It is the calculation acoustics engineers use to predict the noise of machines running together. Enter the two sound levels in decibels.
Refractive Index (n = c/v)
Calculates the refractive index of a medium, n = c ÷ v, the ratio between the speed of light in vacuum and the speed inside the material. The slower the light in the medium, the higher the index and the more light bends on entering — which is why a straw looks broken in a glass and why diamond, with n near 2.4, sparkles so much. The value is always greater than or equal to 1. Enter the speed of light in the medium in meters per second.
Boiling Point Elevation
Calculates the boiling-point elevation of a solution, ΔTe = Ke·m·i, how much the boiling point rises when a solute is dissolved. The more dissolved particles, the higher it boils — which is why salted water boils a little above 100 °C, and antifreeze protects the engine in the heat. The van't Hoff factor i counts how many ions each formula releases. Enter the ebullioscopic constant, the molality, and the van't Hoff factor.
Pediatric Dose (Young's Rule)
Calculates a drug's pediatric dose by Young's rule, dose = age ÷ (age + 12) × adult dose, with the age in years. Designed for children over two, it estimates the fraction of the adult dose appropriate for the age — an 8-year-old receives about 40% of the adult dose. It is a practical reference, but dosing by weight or body surface area remains the safest. Enter the child's age in years and the reference adult dose.
Encephalization Quotient (EQ)
Calculates the encephalization quotient (EQ), EQ = brain mass ÷ (0.12 × body mass^(2/3)), comparing the actual brain size with the one expected for an animal of that size. Above 1, the brain is larger than the body would call for — humans reach close to 7, dolphins top 4. It is one of the best approximations of relative intelligence across species, used in neuroscience and paleontology. Enter the brain mass and the body mass in the same unit.
Cell Plating Dilution
Calculates the volume of stock suspension needed to seed cells at the desired concentration, V₁ = (C₂ × V₂) ÷ C₁, the old C₁V₁ = C₂V₂ relation applied to cell culture. It is the everyday bench calculation: knowing how much to pipette from the mother flask to fill a plate at the right density, without wasting cells or compromising the experiment. The rest of the final volume is topped up with culture medium. Enter the desired concentration, the final volume, and the stock concentration.
Asset Coverage Ratio
Measures how much of a company's assets, after removing short-term obligations, is available to cover its debt, through the asset coverage ratio = (total assets − current liabilities) ÷ total debt. It is the cushion left for creditors if the company has to sell what it owns to pay what it owes. A value above 2 is usually seen as comfortable in capital-intensive sectors. Enter the total assets, the current liabilities, and the total debt.
Sustainable Growth Rate (SGR)
Calculates the sustainable growth rate (SGR), how much a company can grow using only the profit it retains, without taking new debt or issuing shares: SGR = ROE × (1 − payout). Growing above it requires raising outside capital; growing below it leaves cash idle. It is the yardstick that ties profitability, dividend policy, and expansion strategy into a single number. Enter the ROE as a percentage and the payout ratio, the fraction of profit paid out as dividends.
Parabola Vertex
Finds the vertex of a parabola y = ax² + bx + c, the point where it reaches its maximum or minimum value: x_v = −b ÷ (2a) and y_v = c − b² ÷ (4a). It is the heart of any quadratic optimization problem — maximum profit, the peak height of a projectile, minimum cost. If a is positive the vertex is a minimum; if negative, a maximum. Enter the coefficients a, b, and c of the function.
Triangle Area from Vectors
Calculates the area of a triangle from two vectors leaving the same point, A = ½·|uₓ·v_y − u_y·vₓ|, half the magnitude of the cross product. It is the most elegant way to find the area when you have the coordinates of the sides, without needing base or height. When the result is zero, the vectors are parallel and the triangle collapses into a line. It appears in computer graphics, surveying, and physics. Enter the components of the two vectors.
Magnifier Angular Magnification
Calculates the angular magnification of a magnifier, M = 25 ÷ f, with the focal length in centimeters and the number 25 coming from the human eye's near point, at 25 cm. A 5 cm focal-length lens magnifies five times; the shorter the focal length, the greater the magnification. It is the calculation behind magnifiers, microscopes, and the magnification figure engraved on the rim. Enter the lens focal length in centimeters.
Single-Slit Diffraction (minima)
Calculates the angle of the diffraction minima from a single slit, sin θ = m·λ ÷ a, where m is the order of the minimum, λ the wavelength, and a the slit width. Narrowing the slit spreads the light more — which is why a thin slit projects wide fringes, and the resolution limit of any optical instrument is born from this same phenomenon. Enter the minimum order, the wavelength, and the slit width in SI units; the result comes out in degrees.
Compressibility Factor (Z)
Calculates the compressibility factor Z = PV ÷ (nRT), which measures how far a real gas departs from ideal behavior. A Z of 1 means a perfectly ideal gas; below 1 attractive forces dominate and the gas is more compressible, above 1 repulsion and the molecules' volume weigh more. It is essential in natural-gas engineering, refrigeration, and high-pressure processes. Enter the pressure in atm, the volume in liters, the moles, and the temperature in kelvin.
Sample Purity
Calculates the purity of a sample, (pure substance mass ÷ total sample mass) × 100, the percentage that truly corresponds to what matters. Every raw material comes with impurities, and this calculation is the starting point of real stoichiometry: using the gross mass without correcting for purity throws every later calculation off. It is basic quality control in the lab and industry. Enter the mass of the pure substance and the total mass of the sample.
Treatment Duration (pills)
Calculates how many days a medication will last, total number of pills ÷ pills per day, the simple calculation that says when to return to the pharmacy. Knowing the end date helps avoid running out in the middle of a continuous treatment, especially in chronic diseases where interruption is risky. Add the days to the start to find when the pack runs out. Enter the total number of pills and how many are taken per day.
Trophic Energy Transfer (10% Rule)
Calculates how much energy passes from one trophic level to the next by the 10% rule, available energy × efficiency ÷ 100, with efficiency hovering around 10% in most food chains. At each step, nine tenths of the energy is lost as heat and movement — which is why there are so many more herbivores than carnivores and chains rarely exceed four or five levels. Enter the current level's energy and the transfer efficiency as a percentage.
Money Multiplier
Calculates the money multiplier, 1 ÷ reserve ratio, which shows how many times an initial deposit multiplies in the economy as banks lend and re-lend the money. If banks keep 20% as reserves, each dollar deposited can become up to five dollars in circulation. It is a central concept of monetary policy: changing the reserve ratio is one of the levers the central bank uses to control the money supply. Enter the required reserve ratio as a percentage.
Value at Risk (Parametric VaR)
Calculates the parametric Value at Risk (VaR) of a portfolio, VaR = z × σ × value, the maximum expected loss over a horizon at a given confidence level. For 95% confidence one uses z ≈ 1.645; for 99%, 2.33. A VaR of $3,290 on a $100,000 portfolio means that, under normal conditions, the daily loss will rarely exceed it. It is the most-used risk measure by banks and managers, though it underestimates extreme events. Enter the portfolio value, the volatility as a percentage, and the z-score of the confidence level.
2×2 Linear System (Cramer's Rule)
Solves a system of two linear equations in two unknowns by Cramer's rule, using determinants: x = D_x ÷ D and y = D_y ÷ D. It is a direct, elegant method that gives the solution without substitutions, provided the main determinant is not zero — when it is, the system has no unique solution. It appears in linear algebra, circuits, and any problem with two simultaneous relations. Enter the coefficients a, b, and c of each of the two equations in the form ax + by = c.
Electric Potential Energy
Calculates the electric potential energy between two charges, U = k·q₁·q₂ ÷ r, with Coulomb's constant k = 8.99 × 10⁹ N·m²/C². It is the work stored in the system by bringing the charges closer or apart: positive when they repel (same sign) and negative when they attract. Unlike the electric potential, which exists at a point in space, the energy depends on the pair of charges. Enter the two charges in coulombs and the distance between them in meters.
Fresnel Number
Calculates the Fresnel number, F = a² ÷ (L·λ), which decides whether a wave's diffraction is in the near-field or far-field regime. When F is much smaller than 1, Fraunhofer diffraction applies and the patterns are simple; when it is of order 1 or larger, Fresnel diffraction dominates, with more complicated fringes near the aperture. It is essential in optics, antennas, and acoustics. Enter the aperture radius, the distance to the screen, and the wavelength in SI units.
Degree of Hydrolysis
Calculates the degree of hydrolysis of a salt, α = √(Kh ÷ C), the fraction of the salt's ions that react with water, changing the solution's pH. The more dilute the solution, the higher the degree of hydrolysis — which is why a weak-acid salt solution becomes more basic when diluted. The Kh is the hydrolysis constant, linking the strength of the parent acid or base to the ionic product of water. Enter the hydrolysis constant and the molar concentration.
mL to Drops Conversion
Converts a volume of liquid into a number of drops, drops = volume × drip factor, with the factor being 20 drops per milliliter on a macrodrip set and 60 on a microdrip set. It is the everyday conversion in nursing and pediatrics, where many medications are prescribed in drops rather than milliliters. Getting the set's factor right is what prevents dosing errors. Enter the volume in milliliters and the set's drip factor.
Infusion Rate (mcg/kg/min)
Calculates the infusion rate in mL/h for vasoactive drugs dosed in micrograms per kilogram per minute, mL/h = (dose × weight × 60) ÷ concentration. It is the critical ICU calculation when programming a pump with norepinephrine, dobutamine, or nitroprusside — a mistake becomes a blood-pressure drop or arrhythmia in seconds. Multiplying by 60 converts from minutes to hours, the pump's unit. Enter the dose in mcg/kg/min, the patient's weight, and the solution concentration in mcg/mL.
Cell Density from OD600
Estimates a bacterial culture's density from the optical density at 600 nm, cells/mL = OD₆₀₀ × conversion factor, with the factor around 8 × 10⁸ per OD unit for Escherichia coli. Measuring turbidity in a spectrophotometer is the fastest way to track growth without counting cell by cell. The factor changes with species and instrument, so calibration matters. Enter the OD₆₀₀ reading and your culture's conversion factor.
Secondary Production (Ecology)
Calculates a population's secondary production, P = (final biomass − initial biomass) + eliminated biomass, the amount of organic matter consumers produce over a period. Unlike primary production, which comes from plants, secondary production measures the growth of herbivores and carnivores — including what died or was preyed upon, which was also produced before disappearing. It is a basis of population ecology and fisheries management. Enter the final biomass, the initial biomass, and the eliminated biomass.
Income Elasticity of Demand
Measures how demand for a product responds to changes in consumer income through the income elasticity, percentage change in quantity ÷ percentage change in income. Positive values indicate normal goods — people buy more when they earn more; above 1, luxury goods, whose demand soars with income. Negative results reveal inferior goods, like public transport, traded for better options when the wallet allows. Enter the percentage change in quantity demanded and in income.
Put/Call Ratio
Calculates the put/call ratio, the volume of put options divided by that of call options, one of the most-watched mood gauges in the market. Above 1, more people are buying downside protection than betting on a rally — a sign of fear; well below 1, optimism prevails, sometimes excessively. By going against the crowd, this index is read by many as a contrarian sentiment indicator. Enter the put volume and the call volume.
Arrangements with Repetition
Calculates the number of arrangements with repetition, n^k, the count of possible sequences when choosing k positions among n options, with repeats allowed. It is the math behind passwords, license plates, and codes: 10 digits in 3 places give a thousand combinations; allowing letters explodes that number. Unlike a simple arrangement, here the same option can appear more than once. Enter the number of available options and the number of positions.
Fibonacci (Binet's Formula)
Calculates the n-th Fibonacci number directly by Binet's formula, F(n) = (φⁿ − ψⁿ) ÷ √5, without summing the sequence term by term. The surprising part is that, despite involving the irrational number φ (the golden ratio) and roots, the result always lands on a perfect integer. It is one of the most beautiful links between the Fibonacci numbers and the golden ratio. Enter the desired position n in the sequence.
Logarithm Change of Base
Calculates the logarithm of a number in any base by the change-of-base formula, log_b(x) = ln(x) ÷ ln(b), using the natural log that every calculator has. It is the trick that lets you find a log in base 2, 7, or any other without a dedicated key — essential in computing, where the base-2 log measures bits, and in acoustics and chemistry. Enter the number and the base of the logarithm.
Isothermal Gas Work
Calculates the work done by an ideal gas in an isothermal expansion, W = n·R·T·ln(V₂ ÷ V₁), when it expands while keeping the temperature constant. Since the temperature does not change, all the absorbed heat becomes work — the gas pushes the piston by drawing energy from the hot source. It is a central process in thermodynamics and the Carnot cycle. Enter the moles, the temperature in kelvin, and the initial and final volumes.
Standard Reaction Enthalpy
Calculates the standard enthalpy of a reaction by Hess's law, ΔH° = Σ ΔHf of the products − Σ ΔHf of the reactants, summing the tabulated formation enthalpies. The result says whether the reaction releases or absorbs heat under standard conditions: negative is exothermic, positive is endothermic. It is the most direct way to predict a reaction's heat from table data. Enter the summed formation enthalpies of the products and the reactants.
Dose Volume (Rule of Three)
Calculates the exact volume of a medication to administer by the rule of three, volume = (prescribed dose × available volume) ÷ available dose. It is the most common nursing calculation: the doctor prescribes a dose, the vial comes in another concentration, and this calculation says how many milliliters to draw to hit the dose. Checking this number is one of the main barriers against medication error. Enter the prescribed dose, the dose available in the vial, and the corresponding volume.
Harvest Index
Calculates a crop's harvest index, (grain mass ÷ total plant mass) × 100, the fraction of biomass that becomes harvestable product. It is one of the numbers that grew most with the Green Revolution: modern wheat and rice varieties direct more than half their energy into the grain rather than straw. A high index means a plant efficient at producing what matters to the farmer. Enter the grain mass and the total plant mass.
260/230 Purity Ratio
Assesses the purity of a nucleic acid sample by the ratio of absorbances A₂₆₀ ÷ A₂₃₀, a complement to the 260/280 ratio. Values between 2.0 and 2.2 indicate clean DNA or RNA; below 2.0 they reveal contamination by chaotropic salts, phenol, or carbohydrates, which absorb at 230 nm and interfere with sensitive reactions. It is the second quality check before a PCR or sequencing run. Enter the absorbances measured at 260 and 230 nanometers.
Loan-to-Deposit Ratio (LDR)
Calculates a bank's loan-to-deposit ratio, (loans ÷ deposits) × 100, one of the liquidity indicators most watched by regulators. It shows how much of the money taken from customers was turned into loans: very high values, above 90% or 100%, signal little cash cushion; very low ones indicate a conservative bank that may not be using its resources well. Enter the total loans and the total deposits.
Net Interest Margin (NIM)
Calculates a bank's net interest margin (NIM), (interest income − interest expense) ÷ earning assets × 100, the profit it earns from the difference between what it charges and pays in interest. It is the heart of the traditional banking model: borrow cheap, lend dear, and earn the spread. A healthy NIM shows the bank generates results from its core activity, not just from fees. Enter the interest income, the interest expense, and the earning assets.
Ellipsoid Volume
Calculates the volume of an ellipsoid, V = (4 ÷ 3)·π·a·b·c, the stretched or flattened sphere whose three semi-axes a, b, and c can have different sizes. When all three are equal, the formula recovers the volume of a sphere. It is the shape that describes everything from planets slightly flattened at the poles to the geometry of tanks, balloons, and cells. Enter the three semi-axes of the ellipsoid.
Sum of Squares (1² to n²)
Calculates the sum of squares of the first n natural numbers, 1² + 2² + … + n², by the closed formula n·(n+1)·(2n+1) ÷ 6, without adding them one by one. This result, known since antiquity, appears in statistics (in variance), in physics (in moments of inertia), and in any problem that accumulates growing areas. For n = 10, the sum is 385. Enter the value of n.
Spherical Cap Volume
Calculates the volume of a spherical cap, V = π·h²·(3R − h) ÷ 3, the dome obtained by cutting a sphere with a plane. It is the calculation used to gauge the liquid in a partially filled spherical tank, the dome of a building, or the meniscus of a drop. When the cap's height equals the radius, it becomes a hemisphere. Enter the sphere's radius and the cap's height.
Coriolis Acceleration
Calculates the Coriolis acceleration, a = 2·ω·v, which appears on any body moving within a rotating frame, like the Earth's surface. It is what deflects winds, makes hurricanes spin in opposite directions in the two hemispheres, and bends the path of long-range projectiles. The effect grows with the body's speed and the frame's rotation. Enter the frame's angular velocity and the body's velocity perpendicular to the axis.
Entropy Change (ΔS = Q/T)
Calculates the entropy change of a reversible isothermal process, ΔS = Q ÷ T, the ratio between the exchanged heat and the absolute temperature. Entropy measures the dispersal of energy: receiving heat at a low temperature increases disorder more than receiving it at a high temperature. It is the quantity at the center of the second law of thermodynamics, which says the universe's entropy only grows. Enter the heat exchanged in joules and the temperature in kelvin.
Heat of Neutralization
Calculates the heat released when an acid is neutralized by a base, Q = moles × enthalpy of neutralization, with the enthalpy hovering around 57.3 kJ per mole of water formed when strong acids and bases react. Since what actually happens is always the same reaction between H⁺ and OH⁻, this value is nearly constant for strong acids and bases. Weak acids or bases release less, because part of the energy goes into ionizing them. Enter the moles of water formed and the enthalpy of neutralization.
Steady-State Fraction Reached
Calculates what fraction of the steady-state concentration a drug has already reached after a given time, (1 − 0.5^(t ÷ t½)) × 100, during continuous or repeated administration. The pharmacology rule of thumb says it takes about five half-lives to reach 97% of the plateau — hence the time until the drug takes full effect. After one half-life it reaches 50%; after two, 75%. Enter the elapsed time and the drug's half-life in the same unit.
DNA Copy Number (qPCR)
Calculates the number of copies of a DNA molecule from its mass and size, copies = (mass in ng × 6.022 × 10²³) ÷ (base pairs × 650 × 10⁹). It is the indispensable calculation for building the standard curve of a quantitative PCR, where you need to know exactly how many target molecules are in each dilution. The factor 650 is the average mass of a base pair, and the 10⁹ converts grams to nanograms. Enter the DNA mass in nanograms and the fragment size in base pairs.
Capital Accumulation Factor
Calculates the capital accumulation factor, (1 + i)ⁿ, the multiplier that turns a present value into its future amount under compound interest. Multiplying the initial capital by this factor gives directly how much it will grow to after n periods — the basis of all financial mathematics. At 1% per month for a year, each dollar becomes about $1.13, showing the quiet power of interest on interest. Enter the interest rate per period and the number of periods.
Successive Percentage Increases
Calculates the real effect of two percentage increases applied in sequence, which do not add up the way many people think. Raising a price by 10% and then by 20% does not give 30%, but 32%, because the second increase applies to the already-raised value. The formula multiplies the factors (1 + a₁)·(1 + a₂) and returns the equivalent total increase. It applies to adjustments, cascading taxes, and chained interest. Enter the two percentage increases.
Polygon Diagonals
Calculates the number of diagonals of a polygon, n·(n − 3) ÷ 2, without drawing them one by one. Each vertex connects to all the others except itself and its two neighbors — hence the (n − 3) — and dividing by 2 avoids counting each diagonal twice. A square has 2 diagonals, a pentagon 5, and the growth takes off with the number of sides. Enter the number of sides of the polygon.
Circle Chord Length
Calculates the length of a chord of a circle, 2·R·sin(θ ÷ 2), from the radius and the central angle it subtends. The chord is the segment joining two points on the circumference, and its length grows with the angle until it becomes the diameter, when the angle reaches 180°. It appears in engineering, surveying, and the layout of arcs and curves. Enter the circle's radius and the central angle in degrees.
Electric Field Energy Density
Calculates the energy density stored in an electric field, u = ½·ε₀·E², the energy per unit volume held in the space where the field exists. It shows that the electric field itself — not just the charges — carries energy, an idea that paved the way to understanding electromagnetic waves. The energy grows with the square of the field strength. Enter the electric field strength in volts per meter.
Photon Energy (E = hc/λ)
Calculates a photon's energy from its wavelength, E = h·c ÷ λ, linking the light we see to the energy it carries. The shorter the wavelength, the more energetic the photon — which is why ultraviolet burns the skin and red light does not. It is the relation at the heart of quantum physics and photosynthesis. Green light at 500 nm carries about 4 × 10⁻¹⁹ joules per photon. Enter the wavelength in meters.
Degree of Unsaturation (IHD)
Calculates the degree of unsaturation of an organic molecule, (2C + 2 + N − H − X) ÷ 2, the number of rings and double or triple bonds in the structure. It is the first clue a chemist draws from a molecular formula before sketching the molecule: benzene, C₆H₆, gives 4 — three double bonds plus one ring. Each unit represents one extra bond or one closed ring. Enter the number of carbons, hydrogens, nitrogens, and halogens.
Doses per Vial
Calculates how many doses fit in a medication vial, vial volume ÷ volume per dose, a simple but essential calculation for stock control and dispensing. Knowing how many applications a vial yields helps schedule purchases, avoid wasting leftovers, and ensure treatment is not interrupted by a shortage. It applies to insulin, multidose vaccines, eye drops, and syrups. Enter the total vial volume and the volume of each dose.
Total Body Water
Estimates total body water, weight × body water fraction, which hovers around 60% of weight in an adult man and 50% in a woman. Water is the body's main component, and this estimate is the starting point for calculating fluid replacement, drug dilution, and sodium disorders. Babies have an even higher proportion, the elderly a lower one. Enter the body weight and the patient's water fraction.
Estimated Blood Volume
Estimates a person's blood volume, weight × blood volume per kilogram, which is around 70 mL/kg in an adult, 80 in a child, and 65 in an elderly person. It is a critical number in surgery, anesthesia, and emergency care: it guides the tolerable blood-loss limit, transfusion calculations, and volume replacement. Underestimating it can lead to intervening too late in a bleed. Enter the weight and the blood volume factor per kilogram.
Herfindahl-Hirschman Index (HHI)
Calculates the Herfindahl-Hirschman Index (HHI), the sum of the squared market shares of each firm, the concentration measure that antitrust regulators use to assess mergers. Squaring the shares gives more weight to large firms: a market split evenly among many companies has a low HHI, while a near-monopoly approaches 10,000. In the US, above 2,500 the market is considered highly concentrated. Enter the shares of up to four firms as percentages.
Marginal Cost
Calculates the marginal cost, the change in total cost divided by the change in quantity produced — that is, how much it costs to make one more unit. It is one of the central concepts of microeconomics: a firm maximizes profit by producing up to the point where marginal cost equals marginal revenue. When it starts to rise, production enters the phase of diminishing returns. Enter the change in total cost and the change in quantity.
Cuboid Space Diagonal
Calculates the space diagonal of a cuboid, √(a² + b² + c²), the segment crossing the solid from one vertex to the opposite one, piercing its interior. It is the Pythagorean theorem applied in three dimensions, and it gives the longest straight-line distance inside a box — useful to know whether a long object fits in a package or a room. Enter the three edges of the cuboid.
Cylinder Surface Area
Calculates the total surface area of a cylinder, 2πr(r + h), adding the two circular caps to the unrolled side. It is the calculation of how much material covers a can, a tank, or a closed tube, or how much paint coats a roller. The 2πr² part comes from the two circles and 2πrh from the side, which when opened becomes a rectangle. Enter the base radius and the height of the cylinder.
Angular Wavenumber (k)
Calculates the angular wavenumber, k = 2π ÷ λ, which counts how many radians of phase a wave accumulates per meter traveled. It is the spatial counterpart of angular frequency: just as ω measures the phase's rotation in time, k measures it in space. It appears throughout wave physics, from optics to quantum mechanics, where a particle's momentum is proportional to it. Enter the wavelength in meters.
Ring Moment of Inertia
Calculates the moment of inertia of a thin ring rotating about its central axis, I = M·R², with all the mass concentrated at the same distance from the center. That is why the ring has the largest moment of inertia among solids of the same mass and radius — it is harder to spin up and to stop. The concept explains why a flywheel heavy at its rim stores more rotational energy. Enter the ring's mass and radius.
Buffer Capacity
Calculates the buffer capacity of a solution, the amount of acid or base added divided by the change in pH it causes. The larger this value, the more the solution resists pH changes — it is what keeps blood stable despite what we eat and what protects sensitive experiments. A buffer works best near its pKa, where the capacity is highest. Enter the moles of acid or base added and the observed change in pH.
Log Reduction Value
Calculates the logarithmic reduction of a microorganism population, log₁₀(N₀ ÷ N), the standard measure of a disinfection or sterilization's effectiveness. A 4-log reduction means killing 99.99% of germs — each unit cuts the population by another factor of ten. It is how the pharmaceutical and food industries prove a sanitizer or a filter truly works. Enter the initial and final microbial load.
Shock Index
Calculates the shock index, heart rate ÷ systolic blood pressure, an early warning sign used in emergency and trauma care. It normally stays between 0.5 and 0.7; values above 0.9 suggest the patient is entering shock, often before the pressure drops in an obvious way. Being simple and sensitive, it has become a triage tool in hemorrhage, sepsis, and polytrauma. Enter the heart rate and the systolic blood pressure.
Oxygen Delivery (DO₂)
Calculates oxygen delivery to the tissues (DO₂), cardiac output × arterial oxygen content × 10, the total amount of oxygen the heart pumps per minute. It is one of the most important numbers in intensive care: when delivery fails to keep up with consumption, tissues suffer and shock sets in. It depends both on the heart's pumping and on hemoglobin and saturation. Enter the cardiac output in L/min and the arterial oxygen content in mL/dL.
Lerner Index
Calculates the Lerner Index, (price − marginal cost) ÷ price, a direct measure of a firm's market power. Under perfect competition the price equals marginal cost and the index is zero; the more a firm can charge above the cost of producing one more unit, the closer it gets to 1, a sign of monopoly power. It is the inverse of the elasticity of demand the firm faces. Enter the selling price and the marginal cost.
Cross-Price Elasticity of Demand
Calculates the cross-price elasticity of demand, percentage change in the quantity of one good ÷ percentage change in the price of another, revealing how two products relate. A positive result indicates substitute goods — if butter's price rises, more margarine sells; a negative result indicates complements, like a printer and its cartridge. Near zero, the goods are independent. Enter the percentage change in the quantity of good X and in the price of good Y.
Antilogarithm
Calculates the antilogarithm, bˣ, the operation that undoes the logarithm and recovers the original number from its log. If the base-10 log of 1000 is 3, the antilog of 3 is 1000 — raising the base to the exponent. Before calculators, finding the antilog in tables was a required step in any large computation, and it still sits behind scales like pH, decibels, and Richter. Enter the exponent and the base of the logarithm.
Triangle Inradius
Calculates the radius of the inscribed circle of a triangle, area ÷ semiperimeter, the largest circle that fits inside touching all three sides. Its center is the incenter, where the angle bisectors meet. The formula combines Heron's area with the semiperimeter, and the result appears in geometry, design, and the calculation of clearances in triangular parts. Enter the three sides of the triangle.
SHM Mechanical Energy
Calculates the total mechanical energy of a harmonic oscillator, E = ½·k·A², which stays constant while the mass oscillates on an ideal spring. At maximum displacement all the energy is elastic potential; at the center, all kinetic — but the sum never changes. Because it depends on the square of the amplitude, doubling the stretch quadruples the stored energy. Enter the spring constant and the amplitude of the oscillation.
Absorbed Radiation Dose (Gray)
Calculates the absorbed dose of radiation, energy deposited ÷ mass, measured in gray (1 Gy = 1 joule per kilogram). It is the fundamental physical quantity of radiation protection and radiotherapy: it says how much energy from ionizing radiation stayed in the tissue. Do not confuse it with the equivalent dose in sievert, which further weights the type of radiation and the organ hit. Enter the energy deposited in joules and the irradiated mass in kilograms.
Defined Daily Dose (DDD)
Calculates the number of Defined Daily Doses (DDD) consumed, total amount of the drug ÷ standard DDD, the unit the World Health Organization created to compare medication use between hospitals and countries. Instead of counting boxes or pills, which vary in size, it counts how many standard doses were dispensed — the basis of pharmacoepidemiology studies and antibiotic stewardship. Enter the total amount consumed and the drug's standard DDD.
mcg to IU Conversion (Vitamins)
Converts an amount of a vitamin from micrograms to International Units (IU), multiplying by the conversion factor specific to each vitamin. For vitamin D, 1 mcg equals 40 IU; for A and E the factors differ, because the IU measures biological activity, not mass. Getting the conversion right prevents dosing errors in supplements whose labels mix the two units. Enter the amount in micrograms and the vitamin's conversion factor.
Albumin-Corrected Calcium
Corrects serum calcium for albumin, measured calcium + 0.8 × (4.0 − albumin), because much of the blood's calcium circulates bound to that protein. When albumin is low, the test underestimates the truly available calcium, and this correction avoids diagnosing a false hypocalcemia. It is a routine calculation in hospitalized, malnourished, or liver-disease patients. Enter the measured total calcium and the serum albumin.
Absolute Neutrophil Count (ANC)
Calculates the absolute neutrophil count (ANC), total white cells × neutrophil percentage ÷ 100, the number that truly matters for assessing infection risk. Below 1,500 there is neutropenia; below 500, severe neutropenia, when even a fever becomes an emergency. It is closely monitored in patients on chemotherapy and immunosuppressants. Enter the total white cell count and the neutrophil percentage.
Unemployment Rate
Calculates the unemployment rate, number of unemployed ÷ labor force × 100, the most-watched labor-market indicator. The calculation counts only those without work but actively looking — people who gave up searching leave the labor force and do not enter the rate, which sometimes masks the real size of the problem. It is released monthly and moves interest-rate and exchange-rate expectations. Enter the number of unemployed and the economically active population.
Misery Index
Calculates the misery index, the simple sum of inflation and the unemployment rate, created by economist Arthur Okun to capture in a single number the economic discomfort a population feels. The logic is direct: either prices erode purchasing power or the lack of jobs cuts income — and the two together weigh even more. The higher the index, the harder life is for the ordinary citizen. Enter the inflation rate and the unemployment rate.
Triangle Median Length
Calculates the length of a triangle's median relative to a side, ½·√(2b² + 2c² − a²), the segment from a vertex to the midpoint of the opposite side. The three medians meet at the centroid, the figure's center of gravity, which divides them in a 2:1 ratio. It is the formula behind problems of balance, structures, and analytic geometry. Enter the side opposite the median and the other two sides.
Triangle Area (Two Sides and Angle)
Calculates the area of a triangle from two sides and the angle between them, A = ½·a·b·sin(C), without needing the height. It is the most practical form when two sides and their included angle are known, a common situation in surveying, navigation, and trigonometry. The sine of the angle makes the area largest when it is a right angle and zero when the sides align. Enter the two sides and the angle between them in degrees.
Spherical Wave Intensity
Calculates the intensity of a wave spreading in all directions, I = P ÷ (4πr²), distributing the source's power over the surface of a sphere. That is why sound and light weaken with the square of distance: doubling the gap reduces the intensity to a quarter. It is the inverse-square law, which governs everything from a concert's acoustics to the brightness of stars. Enter the source power and the distance to it.
Electric Field Between Plates (E = V/d)
Calculates the uniform electric field between two parallel plates, E = V ÷ d, the ratio between the applied voltage and the distance separating them. Inside a parallel-plate capacitor, the field is the same at every point, pointing from the positive plate to the negative one. Bringing the plates closer at the same voltage intensifies the field — a principle used in capacitors, microphones, and displays. Enter the voltage between the plates and the distance between them.
ppm to ppb Conversion
Converts a concentration from parts per million (ppm) to parts per billion (ppb), multiplying by a thousand, since a million fits a thousand times into a billion. Both units measure tiny amounts of a substance in a mixture — ppm is common in water and air quality, and ppb appears when tracking contaminants at even lower concentrations, like heavy metals or pesticides. Enter the concentration in ppm.
Steady-State Concentration (Css)
Calculates a drug's steady-state concentration under continuous infusion, Css = infusion rate ÷ clearance, the plateau where the speed at which the drug enters equals the speed at which it leaves. It is the goal of any prolonged ICU infusion: keeping the drug in a stable therapeutic window. Doubling the infusion rate doubles Css; reducing clearance, through renal failure, raises it dangerously. Enter the infusion rate and the clearance.
Calculated Plasma Osmolality
Estimates plasma osmolality, 2 × sodium + glucose ÷ 18 + urea ÷ 6, from the solutes that contribute most to the blood's concentration. Sodium is doubled because it drags an anion along, and glucose and urea are divided to convert from mg/dL to mmol/L. Comparing this calculated value with the measured one reveals the osmolar gap, a clue to alcohol poisoning. Enter the sodium, glucose, and urea.
Oxygen Consumption (VO₂ by Fick)
Calculates the body's oxygen consumption by the Fick principle, VO₂ = cardiac output × (arterial content − venous content) × 10, measuring how much oxygen the tissues extract from the blood. The difference between what arrives through the arteries and what returns through the veins shows what was actually consumed. It is the basis of cardiac-output measurement in intensive care and of physical-capacity assessment. Enter the cardiac output and the arterial and venous oxygen contents.
Debt-to-GDP Ratio
Calculates the debt-to-GDP ratio, public debt ÷ GDP × 100, the indicator that measures the size of a country's debt relative to everything it produces in a year. It is not the absolute debt that worries, but its proportion to the ability to pay: a high and rising value raises a red flag for markets and rating agencies. It is the yardstick economists use to compare fiscal health across nations. Enter the public debt and the GDP.
Engel Coefficient
Calculates the Engel coefficient, food spending ÷ total income × 100, the share of income a family allocates to food. Engel's law, formulated in the 19th century, observed that poorer families spend proportionally more on food — so a high coefficient indicates lower purchasing power. It is used to compare living standards across regions and eras. Enter the food spending and the total income.
Regular Octahedron Volume
Calculates the volume of a regular octahedron, (√2 ÷ 3)·a³, the Platonic solid of eight triangular faces that looks like two pyramids glued at the base. From the edge a, the formula gives directly the space it occupies. It appears in nature in crystals of diamond, fluorite, and alum, and in geometry as one of the five perfect polyhedra. Enter the edge length.
Circular Arc Length
Calculates the length of a circular arc, 2πr·(θ ÷ 360), the fraction of the circumference that corresponds to the central angle in degrees. A 90° angle cuts out a quarter of the turn; 180°, half. It is the calculation behind road curves, gears, conveyor belts, and any partial circular path. Enter the circle's radius and the central angle in degrees.
Cyclotron Orbit Radius
Calculates the radius of the circular orbit a charged particle traces inside a magnetic field, r = m·v ÷ (q·B), when the magnetic force acts as the centripetal force. Faster or heavier particles widen the circle; stronger fields tighten it. It is the principle of cyclotrons, mass spectrometers, and plasma confinement in fusion reactors. Enter the mass, velocity, charge, and magnetic field.
Magnetic Dipole Moment of a Loop
Calculates the magnetic moment of a current loop, μ = N·I·A, which measures the strength of the magnet a current-carrying coil becomes. Multiplying by the number of turns and the area amplifies the effect — that is why electromagnets use many turns of wire. This vector determines the torque the loop feels in an external field, the principle of electric motors and galvanometers. Enter the number of turns, the current, and the loop area.
Average Atomic Mass (Isotopes)
Calculates an element's average atomic mass from its isotopes, summing each one's mass weighted by its natural abundance. That is why chlorine, a mix of chlorine-35 and chlorine-37, has a mass of 35.5 — a value that matches no real atom, but the average of all. This number is the one on the periodic table and the one used in every stoichiometry calculation. Enter the mass and abundance of each of the two isotopes.
Tablets per Dose
Calculates how many tablets to take at once, prescribed dose ÷ dose per tablet, the basic calculation that translates the doctor's prescription into action at dosing time. If the doctor prescribes 750 mg and the tablet is 500 mg, it is one and a half per dose. Getting this right avoids underdosing, which fails to treat, and overdosing, which poisons — and helps decide whether a tablet can be split. Enter the prescribed dose and the dose of each tablet.
Mean Corpuscular Volume (MCV)
Calculates the Mean Corpuscular Volume (MCV), hematocrit × 10 ÷ red cells, the average size of the blood's red cells. It is the index that separates the types of anemia: low values indicate small cells, typical of iron deficiency; high ones point to large cells, from vitamin B12 or folate deficiency. The normal range is between 80 and 100 femtoliters. Enter the hematocrit as a percentage and the red cell count in millions per microliter.
Pediatric GFR (Schwartz)
Estimates a child's glomerular filtration rate by the Schwartz formula, 0.413 × height ÷ creatinine, assessing how the kidneys are working without needing a urine collection. Height enters because it reflects the muscle mass that produces creatinine, and the result guides dose adjustment and the diagnosis of kidney disease in pediatrics. The constant 0.413 is that of the bedside Schwartz formula. Enter the height in centimeters and the serum creatinine.
Seigniorage (Inflation Tax)
Calculates seigniorage, also called the inflation tax, the revenue a government obtains by issuing money, inflation rate × real monetary base. It is how the State finances spending without charging explicit taxes: by printing money, it dilutes the value of what already circulates, and that loss of purchasing power works as an invisible levy on those who hold currency. In excess, it feeds hyperinflation. Enter the inflation rate and the monetary base.
Output Gap
Calculates the output gap, (actual GDP − potential GDP) ÷ potential GDP × 100, the difference between what the economy produces and what it could produce by fully using its resources. A negative gap indicates idle capacity and unemployment; a positive one, an overheated economy and inflationary pressure. It is the compass central banks use to decide whether to raise or lower interest rates. Enter the actual GDP and the potential GDP.
2D Vector Magnitude
Calculates the magnitude of a vector in the plane, √(x² + y²), the length of the arrow from the origin to the point (x, y). It is the Pythagorean theorem dressed in vector algebra, and it represents the intensity of quantities like force, velocity, and displacement, independent of direction. For the vector (3, 4), the magnitude is exactly 5. Enter the x and y components of the vector.
Sum of Polygon Interior Angles
Calculates the sum of a polygon's interior angles, (n − 2) × 180°, without measuring them one by one. The logic is simple: any n-sided polygon can be sliced into n − 2 triangles, and each triangle sums to 180°. A triangle gives 180°, a quadrilateral 360°, a pentagon 540°, and so on. It is the basis of polygon geometry and tile design. Enter the number of sides of the polygon.
Gravitational Potential Energy (Universal)
Calculates the gravitational potential energy between two bodies, U = −G·m₁·m₂ ÷ r, the energy stored by the mutual attraction of two masses separated by a distance. The negative sign indicates that energy must be supplied to pull them apart to infinity, where the energy is zero. It is the formula that describes orbits, tides, and the energy needed for a probe to escape a planet. Enter the two masses and the distance between their centers.
Average Molecular Kinetic Energy
Calculates the average kinetic energy of an ideal-gas molecule, (3 ÷ 2)·k·T, which depends only on the absolute temperature — not on the type of gas. This is the microscopic meaning of temperature: measuring it is, in practice, measuring the average agitation of the molecules. Boltzmann's constant k bridges the world of degrees and that of energies. Enter the absolute temperature in kelvin.
Ideal Gas Density
Calculates the density of an ideal gas, d = P·M ÷ (R·T), from the pressure, molar mass, and temperature. Unlike solids, a gas's density changes greatly with pressure and temperature: compressing or cooling it brings the molecules closer and makes it denser. It is the calculation behind balloons, the layering of air, and the design of chemical processes. Enter the pressure in atm, the molar mass, and the temperature in kelvin.
mg/mL to % (w/v) Conversion
Converts a concentration from milligrams per milliliter to percent mass/volume, dividing by ten, since 1% m/v equals 1 gram in 100 mL, that is, 10 mg/mL. It is the conversion that comes up all the time in pharmacy and nursing, where the same solution may be labeled in both units — a 2% lidocaine is the same as 20 mg/mL. Enter the concentration in mg/mL.
BUN/Creatinine Ratio
Calculates the BUN/creatinine ratio, blood urea nitrogen ÷ creatinine, a quick clue to distinguish the causes of a kidney abnormality. Values above 20 suggest dehydration or blood loss, where the kidney retains urea; near 10 to 15 they point to a problem of the kidney itself. It is routine reading alongside creatinine in assessing renal function. Enter the blood urea nitrogen (BUN) and the serum creatinine.
Mean Corpuscular Hemoglobin Concentration (MCHC)
Calculates the Mean Corpuscular Hemoglobin Concentration (MCHC), hemoglobin × 100 ÷ hematocrit, which measures how concentrated with hemoglobin each red cell is. Unlike MCV, which looks at size, MCHC looks at color: low values indicate pale, hypochromic red cells, typical of iron-deficiency anemia. The normal range is between 32 and 36 g/dL. Enter the hemoglobin and the hematocrit.
Okun's Law (Unemployment Change)
Calculates the expected change in unemployment by Okun's Law, −coefficient × (actual growth − potential growth), the empirical relationship linking the pace of the economy to the labor market. When GDP grows below its potential, unemployment rises; when it grows above, it falls. Economist Arthur Okun observed that, in the US, each extra point of unemployment cost about two points of output. Enter the actual growth, the potential growth, and the Okun coefficient.
Marginal Propensity to Save
Calculates the marginal propensity to save (MPS), change in savings ÷ change in income, the fraction of each extra dollar of income a person keeps instead of spending. It is the sibling of the propensity to consume — the two add up to 1 — and it is at the heart of the Keynesian multiplier: the more society saves, the smaller the multiplier effect of a spending increase. Enter the change in savings and the change in income.
Regular Polygon Perimeter
Calculates the perimeter of a regular polygon, number of sides × side length, the total distance to go around the figure. Since all sides of a regular polygon are equal, you just multiply — no need to add them one by one. It is the basis for calculating fences, frames, part outlines, and material use in any equal-sided shape. Enter the number of sides and the length of each side.
Regular Polygon Exterior Angle
Calculates the exterior angle of a regular polygon, 360° ÷ number of sides, the angle you turn at each vertex when walking the outline. The sum of all exterior angles is always 360°, no matter how many sides — which is why the more sides, the smaller each angle, and the closer the figure gets to a circle. It is a key concept in geometry and in turtle-graphics programming. Enter the number of sides of the polygon.
SHM Velocity (vs. Time)
Calculates the instantaneous velocity of a harmonic oscillator, v(t) = −A·ω·sin(ω·t), at any moment of its back-and-forth. The velocity is maximum when passing through the center and zero at the extremes, where the motion reverses — exactly the opposite of the position. The sign indicates the direction. It is the derivative of position and describes pendulums, springs, and vibrations. Enter the amplitude, the angular frequency, and the instant of time.
Terminal Voltage (EMF and Internal Resistance)
Calculates the real voltage at a battery's terminals, ε − r·i, subtracting the internal drop every source has. The electromotive force is what the battery promises; the useful voltage is lower because part is lost in the internal resistance when drawing current. That is why an old battery lights the bulb less: its internal resistance has grown. It is the basis for understanding batteries, generators, and short circuits. Enter the EMF, the internal resistance, and the current.
Monatomic Gas Internal Energy
Calculates the internal energy of a monatomic ideal gas, (3 ÷ 2)·n·R·T, the sum of the kinetic energy of all its atoms. Being monatomic, all the energy is in translational motion — there is no molecular rotation or vibration. It depends only on the temperature and the amount of substance, not on the volume or pressure. It is a central piece of gas thermodynamics. Enter the number of moles and the temperature in kelvin.
Infusion Rate (mL/h)
Calculates the rate of an intravenous infusion, total volume ÷ time, in milliliters per hour, the number programmed into the pump or converted into drops. Getting the rate right is what ensures the fluid or medication enters at the prescribed pace — too fast overloads, too slow fails to treat. It is the most frequent bedside nursing calculation. Enter the total volume to infuse and the infusion time in hours.
Free Water Deficit
Calculates the free water deficit in a patient with hypernatremia, total body water × (current sodium ÷ desired sodium − 1), estimating how many liters of water must be replaced to normalize the sodium. Total body water starts at about 60% of weight. It is a critical calculation in intensive care, where correcting sodium too fast is as dangerous as not correcting it. Enter the weight, the current sodium, and the desired sodium.
Corrected Reticulocyte Count
Calculates the corrected reticulocyte count, reticulocytes × (hematocrit ÷ 45), adjusting the raw percentage for the degree of anemia. In an anemic patient, the reticulocyte percentage looks high only because there are fewer mature red cells — the correction reveals whether the marrow is actually responding. Below 2% the response is insufficient; above, the marrow works at full capacity. Enter the reticulocyte percentage and the hematocrit.
Laspeyres Price Index
Calculates the Laspeyres price index, basket cost at new prices ÷ basket cost at old prices × 100, holding the base-period quantities fixed. It is the most-used method in official inflation indices, because it requires measuring the quantities only once. Its limitation is overstating inflation, since it ignores that consumers swap goods that became expensive for substitutes. Enter the basket cost at the new prices and the cost at the base-period prices.
Regular Polygon Area (Apothem)
Calculates the area of a regular polygon from the apothem, perimeter × apothem ÷ 2, where the apothem is the distance from the center to the midpoint of a side. The formula comes from slicing the polygon into equal triangles, each with its base on a side and height equal to the apothem. It works for any regular polygon — nut hexagons, traffic signs, tiles. Enter the perimeter and the apothem.
Polygon Sides from Interior Angle
Finds how many sides a regular polygon has from its interior angle, 360 ÷ (180 − interior angle). The relation inverts the interior-angle formula: since each exterior angle is 180 minus the interior, and the exterior angles always sum to 360, you just divide. If the interior angle is 140°, the polygon has 9 sides. It is useful in geometry, design, and shape identification. Enter the interior angle in degrees.
Isobaric Gas Work
Calculates the work done by a gas expanding at constant pressure, W = P·ΔV, the product of pressure and volume change. When the gas pushes the piston while keeping the pressure fixed, that is the work it delivers — positive on expansion, negative on compression. It is the isobaric process, a central piece of the first law of thermodynamics and of combustion engines. Enter the pressure in pascals and the volume change in cubic meters.
Gas Molar Mass from Density
Calculates a gas's molar mass from its density, M = d·R·T ÷ P, inverting the ideal gas equation. Measuring an unknown gas's density under known conditions is a classic way to find out which gas it is — that is how many were identified. The density of CO₂ at STP, for example, returns about 44 g/mol. Enter the density in g/L, the temperature in kelvin, and the pressure in atm.
SHM Acceleration (vs. Time)
Calculates the instantaneous acceleration of a harmonic oscillator, a(t) = −A·ω²·cos(ω·t), at any instant of the motion. The acceleration is maximum at the extremes, where the restoring force is greatest, and zero at the center — always pointing back toward equilibrium, hence the negative sign. It is proportional to position and mass, and describes pendulums, springs, and any vibration. Enter the amplitude, the angular frequency, and the instant of time.
Elimination Rate Constant (from Half-Life)
Calculates a drug's elimination rate constant, ke = 0.693 ÷ half-life, which tells the fraction of the drug removed from the body per unit of time. The number 0.693 is the natural logarithm of 2, which appears because elimination follows first-order, exponential kinetics. The higher the ke, the faster the body clears the drug. It is a basic parameter for calculating dosing intervals. Enter the elimination half-life.
Dose by Body Surface Area
Calculates the total dose of a medication adjusted for body surface area, dose per m² × body surface area, the standard in chemotherapy and many pediatric drugs. Body surface area correlates better with metabolism and blood volume than weight alone, making the dose more precise and safe. Small errors here, in narrow-window drugs, have large consequences. Enter the dose per square meter and the patient's body surface area.
Transferrin Saturation
Calculates transferrin saturation, serum iron ÷ total iron-binding capacity × 100, the percentage of the transport protein that is actually carrying iron. It is one of the best markers of iron stores: low values confirm iron-deficiency anemia, while very high values point to overload, as in hemochromatosis. The normal range is between 20% and 50%. Enter the serum iron and the total iron-binding capacity (TIBC).
Albumin/Globulin Ratio
Calculates the albumin/globulin ratio, albumin ÷ (total protein − albumin), comparing the two large protein fractions of the blood. Albumin is produced by the liver; globulins include antibodies and defense proteins. A low ratio may indicate liver disease, chronic inflammation, or myeloma, in which globulins rise. The normal range is around 1 to 2. Enter the albumin and the total protein.
Paasche Price Index
Calculates the Paasche price index, current spending ÷ spending on the same quantities at base prices × 100, using current-period quantities instead of the old ones. By reflecting today's consumption, it tends to understate inflation — the opposite of the Laspeyres index. The geometric mean of the two forms Fisher's ideal index. It is one of the pillars of index-number theory. Enter the current basket spending and the spending on those same quantities at base-period prices.
Terms of Trade
Calculates a country's terms of trade, export price index ÷ import price index × 100, which measures how much in imports each unit of exports can buy. When they rise, the country sells dear and buys cheap — a sign of gain; when they fall, it must export more to import the same. They are crucial for commodity-dependent economies, whose prices swing widely. Enter the export price index and the import price index.
Arithmetic Progression nth Term
Calculates any term of an arithmetic progression by the general-term formula, aₙ = a₁ + (n − 1)·r, without listing all the previous ones. You just need the first term, the common difference, and the desired position to jump straight to the value — be it the 10th or the thousandth term. It appears in simple interest, regular counting, and any sequence that grows in constant steps. Enter the first term, the common difference, and the position n.
Cube Root
Calculates the cube root of a number, ∛x, the value that, multiplied by itself three times, gives back the original. Unlike the square root, the cube root also works with negatives, since a negative number cubed stays negative. It appears when finding a cube's edge from its volume, in growth scales, and in physics and chemistry formulas. Enter the number.
Uniform Circular Motion Period
Calculates the period of uniform circular motion, T = 2π ÷ ω, the time a body takes to complete a full turn. The higher the angular velocity, the shorter the period — the faster the spin. It is the interval that repeats in clock hands, wheels, satellites, and everything that traces circles at a constant pace. The inverse of the period is the frequency. Enter the angular velocity in radians per second.
Uniform Circular Motion Frequency
Calculates the frequency of uniform circular motion, f = v ÷ (2π·r), the number of full turns per second from the linear speed and the radius. A faster body, or one in a tighter circle, turns more times per second. Measured in hertz, the frequency is what defines the revolutions per minute of a motor or a disk. Enter the speed and the radius of the path.
Gas Pressure from Kinetic Theory
Calculates a gas's pressure by kinetic theory, P = N·m·v² ÷ (3·V), starting from the number of molecules, the mass of each, the root-mean-square speed, and the volume. It is the microscopic bridge that explains pressure as the result of billions of molecular collisions against the walls — the faster and more numerous, the higher the pressure. It was a triumph of 19th-century physics. Enter the number of molecules, the mass of each molecule, the speed, and the volume.
Vials Needed for Treatment
Calculates how many vials of a medication are needed to complete a treatment, rounding up the total dose divided by the dose in each vial. Since you cannot buy half a vial, rounding up ensures you never run short — even if a little is left over. It is an essential calculation in pharmacy and hospital purchasing and in forecasting a treatment's cost. Enter the total dose needed and the dose contained in each vial.
Peak-to-Trough Ratio
Calculates a drug's peak-to-trough ratio, maximum concentration ÷ minimum concentration, which measures how much the drug's blood level swings between one dose and the next. A high ratio indicates large fluctuations — risk of toxicity at the peak and of ineffectiveness at the trough, common in narrow-window drugs like some antibiotics. Shortening the dosing interval smooths this swing. Enter the peak and the trough concentration.
Ankle-Brachial Index (ABI)
Calculates the ankle-brachial index (ABI), ankle systolic pressure ÷ arm systolic pressure, a simple and powerful test to detect peripheral artery disease. Values between 1.0 and 1.4 are normal; below 0.9, there is blockage in the leg arteries, often silent. It is a routine exam in diabetics, smokers, and the elderly with pain on walking. Enter the ankle systolic pressure and the arm systolic pressure.
Taylor Rule (Interest Rate)
Calculates the interest rate a central bank should adopt by the Taylor Rule, equilibrium real rate + inflation + 0.5×(inflation − target) + 0.5×(output gap). Proposed by John Taylor in 1993, it translates the central bank's reaction into a formula: raise rates when inflation exceeds the target or the economy overheats, and lower them otherwise. It became a benchmark for judging whether monetary policy is tight or loose. Enter the real rate, the inflation, the inflation target, and the output gap.
Arc Elasticity of Demand
Calculates the arc elasticity of demand, which measures the sensitivity of quantity to price using the midpoint as the base, instead of a single point. This method solves a classic problem: ordinary elasticity gives different values depending on which point you start from. With the average, a rise and a fall give the same result, making the measure symmetric. Enter the initial and final quantities and prices.
Finite Geometric Series Sum
Calculates the sum of the first n terms of a geometric progression, Sₙ = a₁·(qⁿ − 1) ÷ (q − 1), valid when the ratio q differs from 1. Unlike the infinite GP, here an exact number of terms is summed, even when the ratio is greater than 1 and the sequence grows. It appears in compound interest, population growth, and amortization. Enter the first term, the ratio, and the number of terms.
Prism Volume
Calculates the volume of a prism, base area × height, whatever the shape of the base — triangle, rectangle, hexagon. The rule is the same as stacking identical slices: the area of one slice times how many slices fit in the height. It works for boxes, beams, aquariums, and any solid of constant cross-section. Enter the base area and the height of the prism.
Weight Force (P = m·g)
Calculates the weight force of a body, P = m·g, the force with which gravity pulls it down. Unlike mass, which is the same everywhere, weight changes with local gravity: the same object weighs less on the Moon, where g is six times smaller. On Earth, g is about 9.8 m/s². It is what a scale actually measures. Enter the mass and the acceleration of gravity.
Wave Speed (v = λ·f)
Calculates a wave's speed, v = λ·f, the product of the wavelength and the frequency. It is the fundamental relation that holds for any wave — sound, light, water, earthquake. Long wavelengths with high frequencies travel fast; and since the speed in a medium is fixed, stretching the wavelength lowers the frequency, and vice versa. Enter the wavelength and the frequency.
Neutron Number (N = A − Z)
Calculates an atom's number of neutrons, N = A − Z, subtracting the atomic number from the mass number. The mass number counts protons and neutrons together; the atomic number counts only the protons. The difference is what distinguishes the isotopes of a single element — carbon-12 and carbon-14 have the same Z, but different N. Enter the mass number and the atomic number.
Medication Adherence Ratio (MPR)
Calculates a medication adherence index (MPR), days with medication available ÷ days in the period × 100, the percentage of time the patient had the medication to take. Adherence below 80% usually compromises the treatment of chronic diseases like hypertension and diabetes, where consistency is everything. It is a metric used by health plans and pharmacoepidemiology studies. Enter the days with medication available and the total days in the period.
Daily Protein Requirement
Calculates the recommended daily protein, weight × grams per kilogram, from the intake target. The minimum recommendation for sedentary adults is 0.8 g per kilogram, but athletes and those seeking muscle gain need 1.2 to 2.0 g. The elderly also benefit from more protein to preserve muscle. Eating enough is essential for recovery and satiety. Enter the body weight and the target grams per kilogram.
Heart Rate Recovery (HRR)
Calculates heart rate recovery (HRR), heart rate at peak exercise − heart rate one minute later, a simple and powerful indicator of heart health. The faster the pulse drops after stopping, the healthier the cardiovascular system. A drop of fewer than 12 beats in the first minute is a warning sign, associated with higher risk. It is measured in stress tests. Enter the heart rate at peak and one minute after exercise.
Sacrifice Ratio
Calculates the sacrifice ratio, cumulative GDP loss ÷ reduction in inflation, which measures the economic cost of taming prices. Reducing inflation usually requires high interest rates that slow the economy — and the ratio tells how many points of output are lost for each point of inflation cut. The higher it is, the more painful the disinflation. It is a central concept in the debate over monetary tightening. Enter the cumulative GDP loss as a percentage and the reduction in inflation in percentage points.
Price-to-Rent Ratio
Calculates a property's price-to-rent ratio, purchase price ÷ annual rent, a quick gauge for deciding between buying and renting. Low ratios, around 15, suggest buying pays off; above 25, renting tends to be cheaper and the market may be inflated. It is one of the most-used indicators for spotting housing bubbles. Enter the property price and the monthly rent.
Probability of Union of Events
Calculates the probability of the union of two events, P(A ∪ B) = P(A) + P(B) − P(A ∩ B), the chance that at least one of them occurs. Subtracting the intersection avoids double-counting the cases where both happen together. When the events are mutually exclusive, the intersection is zero and you just add. It is the basis of probability theory and risk analysis. Enter the probabilities of A, of B, and of the intersection.
Compound Rule of Three (Direct)
Solves a compound rule of three with two directly proportional quantities, x = c₁ · (a₂·b₂) ÷ (a₁·b₁), the kind of problem where the result depends on two factors at once. It is the classic calculation of how many parts so many workers make in so many hours, or how much a job yields when team and deadline change. Each quantity pulls the result in the same direction. Enter the values of the two quantities in the known situation, the known result, and the values in the new situation.
Velocity in Uniformly Accelerated Motion
Calculates the velocity of a body in uniformly accelerated motion, v = v₀ + a·t, from the initial velocity, the acceleration, and the time. It is the equation that describes everything that speeds up or slows down at a constant rate — a car pulling away, a falling object. Each second, the velocity changes by exactly the acceleration value. Enter the initial velocity, the acceleration, and the time.
Position in Uniformly Accelerated Motion
Calculates the position of a body in uniformly accelerated motion by the equation of motion, s = s₀ + v₀·t + ½·a·t², adding how far it has already gone to the advance from velocity and the gain from acceleration. The quadratic term is what makes distance shoot up with time under acceleration — which is why a car at 100 km/h needs far more space to stop than at 50. Enter the initial position, the initial velocity, the acceleration, and the time.
Formal Charge
Calculates the formal charge of an atom in a molecule, valence electrons − nonbonding electrons − (bonding electrons ÷ 2), assuming the bonding electrons split equally. It is the tool that helps choose the most likely Lewis structure: the one that keeps the formal charges closest to zero is usually the most stable. It appears constantly in organic and inorganic chemistry. Enter the valence electrons, the nonbonding electrons, and the bonding electrons of the atom.
Total Doses in Treatment
Calculates the total number of doses in a treatment, doses per day × days of treatment, the calculation that says how many times the medication will be taken from start to finish. It serves to check whether the amount purchased is enough, plan the packaging, and estimate the total cost. Multiplying the daily frequency by the duration avoids running out before the end. Enter how many doses per day and for how many days the treatment lasts.
Maximal Aerobic Speed (MAS)
Estimates the Maximal Aerobic Speed (MAS), VO₂max ÷ 3.5, the running speed at which maximal oxygen consumption is reached. It is a key reference in runners' training: intensity zones and interval workouts are usually prescribed as percentages of MAS. The higher it is, the fitter the athlete. The factor 3.5 comes from the oxygen cost per unit of speed. Enter the VO₂max in mL/kg/min.
Body Fat Percentage (Deurenberg)
Estimates the body fat percentage by the Deurenberg equation, 1.20·BMI + 0.23·age − 10.8·sex − 5.4, using the BMI, the age, and the sex (1 for men, 0 for women). It is a practical way to estimate fat without a bioimpedance scale or a skinfold caliper, starting from data anyone knows. Age enters because, over time, fat is gained even at the same BMI. Enter the BMI, the age, and the sex.
Economic Break-Even Point
Calculates the economic break-even point, (fixed costs + desired profit) ÷ unit contribution margin, the sales volume needed not just to cover costs, but to reach a target profit. Unlike the accounting break-even, which zeroes the result, this one already builds in the return the owner expects from the business. It is the real sales target that makes the venture attractive. Enter the fixed costs, the desired profit, and the contribution margin per unit.
Margin of Safety in Sales
Calculates the margin of safety in sales, (current sales − break-even sales) ÷ current sales × 100, how much sales can drop before the company starts to lose money. A high margin means slack and resilience to downturns; a tight margin raises a risk flag. It is one of the favorite indicators of cost-volume-profit analysis. Enter the current sales and the break-even sales.
Geometric Mean of Three Numbers
Calculates the geometric mean of three numbers, the cube root of their product, the ideal average for quantities that multiply, like growth rates. Unlike the arithmetic mean, which adds and divides, the geometric multiplies and takes the root — so it is never pulled up by an extreme value in the same way. It appears in interest, indices, and proportions. Enter the three numbers.
Segment Division Point (Ratio m:n)
Calculates the point that divides a line segment in a given ratio, P = (n·A + m·B) ÷ (m + n), finding where to mark the division between two points. When m and n are equal, the point falls in the middle; when they differ, it leans toward the heavier side. It is the basis of the midpoint, the centroid, and interpolations in geometry and computer graphics. Enter the coordinates of the endpoints and the terms m and n of the ratio.
Free-Fall Velocity (v = g·t)
Calculates the velocity of a body in free fall, v = g·t, from the fall time, ignoring air resistance. Dropped from rest, the object accelerates by about 9.8 m/s each second — in three seconds it already exceeds 100 km/h. It is Galileo's famous discovery: in the absence of air, all bodies fall with the same acceleration, be it a feather or a cannonball. Enter the acceleration of gravity and the fall time.
Relative Density of Gases
Calculates the relative density between two gases, the ratio of their molar masses, which tells how many times one gas is heavier than another under the same conditions. Since, at the same pressure and temperature, equal volumes have the same number of molecules, you just compare the molar masses. That is why carbon dioxide, denser than air, pools at the bottom, and helium rises. Enter the molar masses of the two gases.
Mass of One Atom
Calculates the mass of a single atom, molar mass ÷ Avogadro's constant, converting the mass of a whole mole into the mass of just one particle. The result is a tiny number — a carbon atom weighs about 2 × 10⁻²³ grams, so little that no ordinary scale comes close to measuring it. It is the bridge between the periodic table and the individual world of atoms. Enter the molar mass of the element.
Time to Eliminate to a Fraction
Calculates how long a drug takes to fall to a fraction of the initial concentration, half-life × log(fraction) ÷ log(0.5), following first-order kinetics. To leave a quarter of the dose takes two half-lives; for 1/8, three. It is the calculation that says when the drug will be practically eliminated — generally, after five half-lives less than 5% remains. Enter the half-life and the fraction to be reached.
Sweat Rate
Calculates the sweat rate during exercise, (weight before − weight after + fluid ingested) ÷ time, in liters per hour, estimating how much sweat the body loses. Knowing this number guides fluid replacement to avoid dehydration, which hurts performance and can be dangerous in long events. Each kilogram lost equals about one liter of water. Enter the weight before and after, the fluid ingested, and the exercise time.
Conicity Index
Calculates the conicity index, waist circumference ÷ (0.109 × √(weight ÷ height)), a measure of abdominal fat that compares the body's shape to a cylinder or a double cone. The more the waist stands out, the higher the index and the cardiovascular risk associated with visceral fat. Unlike the waist-to-hip ratio, it does not require measuring the hip. Enter the waist circumference in meters, the weight in kilograms, and the height in meters.
Disposable Income
Calculates disposable income, gross income − taxes − contributions, the money that actually remains to spend or save after the government takes its share. It is the basis of almost every personal financial decision: budgeting, payment capacity, and savings start from it, not from the full salary. For the economy, it is what truly drives household consumption. Enter the gross income, the total taxes, and the contributions.
Volume Ratio of Similar Figures
Calculates the ratio between the volumes of two similar figures, the cube of the linear similarity ratio. If one sculpture is twice the other in every dimension, its volume is not twice, but eight times larger — because each of the three dimensions doubles. It explains why scaling up a recipe or a structure makes the material grow much faster than the size. Enter the similarity ratio between the sides.
Linear Extrapolation
Calculates a value by linear extrapolation, y = y₁ + (y₂ − y₁)·(x − x₁) ÷ (x₂ − x₁), extending the line through two known points to predict outside the measured range. It is the simplest way to project a trend forward — future sales, temperature, growth. Unlike interpolation, which estimates within the data, extrapolation ventures beyond it, and so requires caution. Enter the two known points and the desired x.
Free-Fall Height (h = ½g·t²)
Calculates the height of a free fall, h = ½·g·t², from the fall time, ignoring air resistance. The distance grows with the square of time: in 1 second it falls about 5 meters, but in 3 seconds it is already nearly 45. It is the formula that estimates from what height an object fell knowing only how long it took — useful in physics and safety estimates. Enter the acceleration of gravity and the fall time.
Number of Molecules from Mass
Calculates the number of molecules in a sample, (mass ÷ molar mass) × Avogadro's constant, counting the invisible particles from something you weigh on a scale. Even a drop of water hides a colossal number of molecules — more than there are stars in the known universe. It is the bridge between the macroscopic world of grams and the microscopic one of molecules. Enter the sample mass and the substance's molar mass.
Concentration in ppm (mg/kg)
Calculates the concentration in parts per million (ppm), milligrams of solute ÷ kilograms of solution, since 1 ppm equals exactly 1 mg per kilogram. It is the preferred unit for measuring tiny amounts — pollutants in water, metals in food, additives in an alloy. So small that 1 ppm is like a drop of ink in a large tank. Enter the solute mass in milligrams and the solution mass in kilograms.
mg to mcg Conversion
Converts a dose from milligrams to micrograms, multiplying by a thousand, since each milligram contains a thousand micrograms. It is a critical conversion in prescribing and preparing medications, where confusing mg with mcg can mean a dose a thousand times larger or smaller — one of the most dangerous errors in pharmacy. It applies to hormones, vitamins, and potent drugs dosed in micrograms. Enter the amount in milligrams.
Estimated Lethal Dose (LD50)
Estimates the total lethal dose of a substance from its LD50, median lethal dose (mg/kg) × body weight, projecting from the value that would kill half of a test population. The LD50 is the classic measure of acute toxicity: the lower it is, the more poisonous the substance. This calculation gives an approximate reference of the dangerous amount for a body of a given weight, but real toxicity varies widely between individuals. Enter the LD50 in mg/kg and the body weight.
Neutrophil-to-Lymphocyte Ratio (NLR)
Calculates the neutrophil-to-lymphocyte ratio (NLR), simply dividing the neutrophil count by the lymphocyte count, a cheap and powerful marker of inflammation drawn from the ordinary blood count. Normal values fall between 1 and 3; high numbers indicate stress, severe infection, or a worse prognosis in various diseases, from cancer to COVID. It gained prominence for predicting outcomes with a test everyone already does. Enter the neutrophil count and the lymphocyte count.
Urine Output Rate (mL/kg/h)
Calculates the urine output, urine volume ÷ (weight × time), in milliliters per kilogram per hour, a silent vital sign of kidney function and hydration. Below 0.5 mL/kg/h, oliguria sets in, a warning of dehydration, shock, or kidney injury. It is monitored hourly in critically ill patients, where the urine tells the story of the body's perfusion. Enter the urine volume, the weight, and the collection time.
Fiscal Spending Multiplier
Calculates the spending fiscal multiplier, 1 ÷ (1 − marginal propensity to consume), which shows how much total income grows for each dollar the government spends. The effect amplifies because whoever receives the spending consumes part of it, generating income for others, who also consume, and so on. The more society consumes rather than saves, the larger the multiplier. It is the heart of Keynesian stimulus theory. Enter the marginal propensity to consume.
Exchange-Rate Spread
Calculates the exchange-rate spread, (sell rate − buy rate) ÷ buy rate × 100, the margin that exchange offices and banks pocket between the price they pay and the one they charge for the currency. It is the invisible cost of changing money: the larger the spread, the more expensive it is to buy dollars or euros. Comparing spreads between institutions can yield good savings on a trip or remittance. Enter the currency's sell rate and buy rate.
Weighted Average of Three Values
Calculates the weighted average of three values, summing each value multiplied by its weight and dividing by the sum of the weights. Unlike the simple average, which treats everything equally, the weighted one gives more importance to what weighs more — that is how a report-card average is calculated when each exam counts differently, or the average price of purchases of different sizes. Enter the three values and their respective weights.
Diagonals from a Vertex
Calculates how many diagonals leave a single vertex of a polygon, n − 3, where n is the number of sides. From each vertex, segments go to all the others except itself and its two immediate neighbors, which form sides, not diagonals — hence the minus three. In a hexagon, that is three diagonals per vertex; in an octagon, five. It is the basis for counting all the figure's diagonals. Enter the number of sides.
Maximum Height of a Vertical Launch
Calculates the maximum height of a vertical launch, v₀² ÷ (2·g), the highest point an object reaches when thrown upward before gravity wins and brings it back. All the initial kinetic energy becomes potential energy at the top, where the velocity zeroes for an instant. Doubling the launch speed quadruples the height. Enter the initial velocity and the acceleration of gravity.
Simple Pendulum Frequency
Calculates the frequency of a simple pendulum, (1 ÷ 2π)·√(g ÷ L), the number of full swings per second. Curiously, it depends on neither the mass nor the amplitude, only the length and gravity — the shorter the string, the faster the swing. It was this regularity that made the pendulum the heart of clocks for centuries. Enter the acceleration of gravity and the length of the pendulum.
Electronegativity Difference
Calculates the electronegativity difference between two atoms, the absolute value of subtracting their values, which predicts the type of chemical bond between them. Near zero, the bond is nonpolar covalent; up to about 1.7, polar covalent; above that, predominantly ionic, as in table salt, where chlorine pulls the electron from sodium. It is the tool that tells whether a bond shares or steals electrons. Enter the electronegativities of the two atoms.
Adjusted Body Weight (AjBW)
Calculates the adjusted body weight, ideal weight + 0.4 × (actual weight − ideal weight), used to dose medications in obese patients. Neither actual nor ideal weight works alone: the actual overestimates the dose for drugs that do not distribute into fat, and the ideal underestimates. The adjustment takes a middle ground, adding 40% of the excess weight. It is standard in clinical pharmacy and anesthesia. Enter the ideal weight and the actual weight.
Protective Tidal Volume (mL/kg)
Calculates the protective tidal volume for mechanical ventilation, predicted weight × milliliters per kilogram, with the protective-lung strategy recommending about 6 mL/kg. Smaller volumes avoid overstretching the alveoli and reduce ventilator-induced injury, improving survival in patients with respiratory distress syndrome. The predicted weight from height is used, not the actual weight. Enter the predicted weight and the desired milliliters per kilogram.
Oxygen Extraction Ratio (O₂ER)
Calculates the oxygen extraction ratio (O₂ER), (arterial content − venous content) ÷ arterial content × 100, the fraction of delivered oxygen that the tissues actually consume. It is normally around 25%, but rises when delivery falls and the body must extract more to compensate — a warning sign in shock and heart failure. It is a key marker of the balance between oxygen supply and demand. Enter the arterial and venous oxygen contents.
Total Contribution Margin
Calculates the total contribution margin, (price − variable cost) × quantity sold, the value left from all sales to cover fixed costs and form profit. Unlike the unit margin, which looks at one product, the total shows how much the sales volume actually generates to pay rent, salaries, and everything that does not vary. It is the number that says whether the operation sustains itself. Enter the selling price, the unit variable cost, and the quantity sold.
Segment Midpoint (Perpendicular Bisector)
Calculates the midpoint of a segment, the average of the endpoints' coordinates, the point exactly halfway between A and B. Through it passes the perpendicular bisector, the line that splits the segment into two equal parts and lies at equal distance from both endpoints. It appears in analytic geometry, ruler-and-compass constructions, and computer-graphics algorithms. Enter the coordinates of the two points.
Circular Sector Area (radians)
Calculates the area of a circular sector with the angle in radians, ½·r²·θ, the pizza slice cut from a circle. In radians, the formula stays lean — there is no degree-conversion factor. A sector with a full angle (2π) returns the area of the whole circle. It is used in engineering, design, and any calculation of curved areas. Enter the radius and the central angle in radians.
Velocity of a Fall from Height (v = √2gh)
Calculates the speed at which a body hits the ground when falling from a height, v = √(2·g·h), starting from rest and ignoring air. Curiously, it does not depend on the mass — a stone and a feather, in a vacuum, arrive together. From 20 meters, any object strikes the ground at about 20 m/s, over 70 km/h. It is the formula behind falls, dives, and impact estimates. Enter the acceleration of gravity and the fall height.
Total Mechanical Energy
Calculates the total mechanical energy of a body, the sum of the kinetic energy ½·m·v² with the gravitational potential m·g·h. In the absence of friction, this total is conserved: as the body falls, the potential becomes kinetic, but the sum never changes. It is the principle that governs roller coasters, pendulums, and orbits, and the basis of the study of energy conservation. Enter the mass, the velocity, the height, and gravity.
Normality from Molarity
Calculates the normality of a solution from its molarity, N = molarity × number of equivalents, accounting for how many reactive charges each formula releases. For sulfuric acid, which releases two H⁺, the normality is twice the molarity; for hydrochloric acid, which releases one, they are equal. It is the preferred unit in titrations, where what matters is the amount of reagent, not of molecules. Enter the molarity and the number of equivalents.
Molarity to g/L Conversion
Converts a solution's concentration from molarity (mol/L) to mass concentration (g/L), multiplying by the solute's molar mass. The two units describe the same degree of concentration from different angles: molarity counts in moles, mass concentration in grams. The conversion is essential for preparing solutions from a scale, which weighs grams, not moles. Enter the molarity and the solute's molar mass.
mcg to mg Conversion
Converts a dose from micrograms to milligrams, dividing by a thousand, since each milligram equals a thousand micrograms. It is the inverse conversion of the mg-to-mcg one, and just as critical: shifting the decimal place in a medication means missing the dose by a factor of a thousand. It applies to hormones, vitamins, and potent drugs prescribed in micrograms. Enter the amount in micrograms.
Free Water Clearance
Calculates free water clearance, urine volume − osmolar clearance, which measures how much pure water the kidneys eliminate or retain beyond the solutes. A positive value indicates the body is shedding excess water; a negative one, that it is concentrating the urine to retain water. It is a central calculation in the study of sodium disorders and water regulation. Enter the urine volume and the urinary and plasma osmolalities.
Sodium/Potassium Ratio
Calculates the sodium/potassium ratio, simply dividing one by the other, an indicator increasingly valued in cardiovascular health. Modern diets, rich in salt and poor in potassium, raise this ratio, and studies link high values to higher blood pressure and heart-disease risk. The ideal, according to the World Health Organization, is to keep the ratio low. Enter the amounts of sodium and potassium.
Cash Price with Discount
Calculates a product's cash price from the installment price and the discount offered, installment price × (1 − discount). It is the calculation for those who want to know how much they save by paying all at once instead of in installments — and whether it is worth it. Stores often offer a good cash discount because they get paid immediately and without default risk. Enter the installment price and the cash discount percentage.
Benefit-Cost Ratio
Calculates a project's benefit-cost ratio, value of benefits ÷ value of costs, one of the most-used criteria for deciding whether an investment is worthwhile. Above 1, the benefits exceed the costs and the project is justified; below, it is better not to proceed. It is standard in evaluating public works, policies, and investments, where it translates into a single number whether the return is worth the spending. Enter the total value of the benefits and the costs.
Middle Term of a GP (Geometric Mean)
Calculates the middle term of a geometric progression, the square root of the product of the neighboring terms, that is, the geometric mean between them. In a GP, any middle term is the geometric mean of its two neighbors — a property that defines the sequence and lets you find missing values. It appears in compound interest, musical scales, and proportional growth. Enter the two outer terms.
Focal Distance of an Ellipse
Calculates the focal distance of an ellipse, √(a² − b²), the distance from the center to each of the two foci from the major and minor semi-axes. This distance defines how elongated the ellipse is: when the semi-axes become equal, the foci merge at the center and the ellipse becomes a circle. It appears in planetary orbits, lenses, and parabolic antennas. Enter the major semi-axis and the minor semi-axis.
Mass-Spring System Frequency
Calculates the oscillation frequency of a mass-spring system, (1 ÷ 2π)·√(k ÷ m), the number of swings per second. Stiffer springs raise the frequency; larger masses lower it — which is why a heavy car bounces more slowly than a light one on the same suspension. Unlike the pendulum, gravity does not enter here. It is the basis of the study of vibrations and suspensions. Enter the spring constant and the mass.
Pendulum Length from Period
Calculates the length a pendulum needs to swing with a desired period, g·T² ÷ (4π²). It is the inverse calculation of the period: given the time of each swing, it tells how long the string must be. A pendulum with a 2-second period measures almost exactly one meter — the famous seconds pendulum, the basis of old clocks. Enter the acceleration of gravity and the desired period.
Concentration After Mixing Solutions
Calculates the final concentration when mixing two solutions of the same solute, (C₁·V₁ + C₂·V₂) ÷ (V₁ + V₂), the volume-weighted average of the concentrations. The result always lies between the two original concentrations — never stronger than the stronger one. It is the calculation for those who dilute or strengthen a solution by adding another, common in the lab, pool, and kitchen. Enter the concentrations and volumes of the two solutions.
mg to g Conversion
Converts an amount from milligrams to grams, dividing by a thousand, since each gram has a thousand milligrams. It is the basic conversion for moving from the scale of tablets, in milligrams, to that of packages and recipes, often in grams. Mastering this unit switch avoids dosing errors and helps compare products labeled in different ways. Enter the amount in milligrams.
Salivary Flow Rate
Calculates the salivary flow rate, saliva volume ÷ collection time, in milliliters per minute, a simple measure of mouth health. Saliva protects the teeth, aids digestion and speech — when the flow drops, the risk of cavities, infections, and dry-mouth sensation rises. Stimulated values below 0.7 mL/min indicate hyposalivation. It is a routine exam in dentistry. Enter the volume of saliva collected and the collection time.
Pulmonary Vascular Resistance (PVR)
Calculates the pulmonary vascular resistance (PVR), (mean pulmonary arterial pressure − wedge pressure) ÷ cardiac output × 80, the opposition the lung's vessels impose on blood flow. It is a central figure in diagnosing pulmonary hypertension: values above 250 dyn·s·cm⁻⁵ indicate stiffened or narrowed vessels. It is measured by right heart catheterization in critically ill patients. Enter the mean pulmonary arterial pressure, the wedge pressure, and the cardiac output.
Percentage Markup on Cost
Calculates a product's final price after a percentage markup on the cost, cost × (1 + markup). It is the basic pricing calculation in retail: you start from what the item cost and add the margin the merchant wants to earn. Unlike a discount, which subtracts, a markup adds — and applying 40% to 100 gives 140, not double. Enter the product's cost and the markup percentage.
Price Elasticity of Supply
Calculates the price elasticity of supply, percentage change in quantity supplied ÷ percentage change in price, which measures how much producers react to price changes. Above 1, supply is elastic — it rises sharply when the price rises, as in easy-to-make products; below, it is inelastic, typical of goods that take time to produce, like wines and real estate. Enter the percentage change in quantity supplied and in price.
Equilateral Triangle Height
Calculates the height of an equilateral triangle, (side × √3) ÷ 2, the distance from a vertex to the midpoint of the opposite side. Since all sides and angles are equal, the side alone reveals everything in the figure — and the height lands exactly at the center of the base. It appears in geometry, trusses, traffic signs, and any symmetric triangular structure. Enter the length of the side.
Harmonic Mean of Three Numbers
Calculates the harmonic mean of three numbers, the reciprocal of the mean of the reciprocals, the ideal average for quantities involving rates, like speed and density. It is always smaller than the arithmetic mean and gives more weight to small values — which is why it is used to compute the average speed of a round trip at different speeds. Enter the three numbers.
Inelastic Collision Velocity
Calculates the final velocity of a perfectly inelastic collision, (m₁·v₁ + m₂·v₂) ÷ (m₁ + m₂), when two bodies collide and move on stuck together as one. The total momentum is conserved, but part of the kinetic energy is lost as heat and deformation — which is why cars crumple in a crash. It is the basis of the study of impacts and vehicle safety. Enter the masses and velocities of the two bodies.
Kinetic Energy from Momentum
Calculates a body's kinetic energy from its linear momentum, p² ÷ (2·m), an alternative to the classic ½mv² formula. It is useful when the momentum is known instead of the velocity — a common situation in particle physics and quantum mechanics, where momentum is the natural quantity. For the same energy, a light body has less momentum than a heavy one. Enter the linear momentum and the mass.
ppm to Molarity Conversion
Converts a concentration from parts per million (ppm) to molarity, dividing by the molar mass and adjusting the units, for dilute aqueous solutions where 1 ppm equals 1 mg per liter. It is the conversion that links the world of trace analysis, in ppm, to that of quantitative chemistry, in mol/L. It lets you compute reactions from measurements of pollutants or contaminants. Enter the concentration in ppm and the solute's molar mass.
pOH of a Strong Base
Calculates the pOH of a strong base, −log of the hydroxide-ion concentration, the scale that measures a solution's basicity. The more OH⁻ ions, the lower the pOH and the more basic the solution. Since pH and pOH add up to 14 at 25 °C, knowing one gives the other instantly. For strong bases, which dissociate completely, the OH⁻ concentration is the base concentration itself. Enter the hydroxide-ion concentration.
g to mg Conversion
Converts an amount from grams to milligrams, multiplying by a thousand, since each gram contains a thousand milligrams. It is the conversion to descend from the scale of packages and food, in grams, to that of precise medication doses, in milligrams. Getting this switch right is essential in pharmacy, nutrition, and any calculation that mixes the two units. Enter the amount in grams.
Creatinine Clearance (24h urine)
Calculates creatinine clearance from a 24-hour urine sample, (urinary creatinine × volume) ÷ (plasma creatinine × time), the most direct way to measure the kidneys' filtration. It estimates how many milliliters of blood the kidneys clear of creatinine per minute — the lower it is, the worse the kidney function. It is the reference exam, more precise than estimated formulas when the urine collection is reliable. Enter the urinary creatinine, the urine volume, the plasma creatinine, and the collection time.
Commercial Simple Interest (360-day year)
Calculates commercial simple interest, principal × rate × (days ÷ 360), using the 360-day banker's year instead of the actual 365. It is the convention banks and commerce adopt to simplify short-term calculations — each month counts as exactly 30 days. By using 360 in the denominator, it yields slightly more than exact interest over the same period. Enter the principal, the annual interest rate, and the number of days.
Cube Surface Area
Calculates the total surface area of a cube, 6 × edge², summing the six identical square faces. It is the calculation of how much paper wraps a cubic box, how much paint covers a giant die, or how much material coats an equal-sided solid. Since all faces are equal, the edge alone reveals everything. Enter the edge length.
Hyperbola Eccentricity
Calculates the eccentricity of a hyperbola, √(a² + b²) ÷ a, a number always greater than 1 that measures how wide its two branches open. The larger the eccentricity, the wider the curves; near 1, they almost close like a parabola. It is the same measure that classifies all conics — circle, ellipse, parabola, and hyperbola. Enter the a and b semi-axes of the hyperbola.
Weight on Another Planet
Calculates an object's weight on another planet or the Moon, mass × local gravity, showing how the same body weighs differently in each world. The mass does not change, but gravity does: on the Moon, with g of 1.62 m/s², a 70 kg person weighs the equivalent of just 11 kg on Earth. That is what lets astronauts take giant leaps. Enter the mass and the planet's gravity.
Gravity as a Function of Altitude
Calculates the acceleration of gravity as a function of altitude, g₀ × (R ÷ (R + h))², showing how weight decreases as you rise. The drop is slower than you'd think: even at the Space Station's altitude of 400 km, gravity is still nearly 90% of ground level. Astronauts float not from a lack of gravity, but because they are in permanent free fall. Enter the altitude above the surface in meters.
Maximum Electrons per Shell (2n²)
Calculates the maximum number of electrons that fit in an electron shell, 2n², where n is the level number. The first shell holds 2 electrons, the second 8, the third 18 — the rhythm that shapes the periodic table and explains why the periods have the sizes they do. It is one of the first rules learned about the atom's structure. Enter the energy level number.
mL to L Conversion
Converts a volume from milliliters to liters, dividing by a thousand, since each liter has a thousand milliliters. It is the everyday conversion in the kitchen, the lab, and the pharmacy, where recipes and doses move between mL and L. Going from one to the other is just shifting the decimal three places. Enter the volume in milliliters.
L to mL Conversion
Converts a volume from liters to milliliters, multiplying by a thousand, since each liter contains a thousand milliliters. It is the conversion to descend from the scale of bottles and packages, in liters, to that of doses and fine measures, in milliliters. Knowing it by heart avoids errors when preparing solutions, IV fluids, and recipes. Enter the volume in liters.
Lung Compliance
Calculates lung compliance, change in volume ÷ change in pressure, which measures how much the lungs expand for each unit of applied pressure. Stiff lungs, as in fibrosis, have low compliance and are hard to inflate; very loose lungs, as in emphysema, have high compliance. It is a central figure in mechanical ventilation. Enter the change in volume and the change in pressure.
Corrected White-Cell Count
Calculates the corrected white-cell count, white cells × 100 ÷ (100 + nucleated red cells), subtracting the immature red cells that the automated counter mistakes for white cells. When there are many nucleated red cells in the blood — common in newborns and some diseases — the raw white-cell count comes out falsely high, and this correction returns the real number. Enter the white-cell count and the number of nucleated red cells per 100 white cells.
Break-Even Point in Revenue
Calculates the break-even point in revenue, fixed costs ÷ contribution-margin ratio, the minimum turnover a business must reach to avoid a loss. Below it, the company operates in the red; above, it starts to profit. Unlike the break-even point in units, this result already comes in currency, ready to become a sales target. Enter the fixed costs and the contribution-margin ratio as a percentage.
Contribution Margin Ratio
Calculates the contribution-margin ratio, contribution margin ÷ revenue × 100, the percentage of each sale left to cover fixed costs and generate profit. The higher the ratio, the more each dollar sold contributes to the result — and the lower the turnover needed to break even. It is a key indicator in profitability analysis and pricing. Enter the contribution margin and the revenue.
Area Ratio of Similar Figures
Calculates the ratio between the areas of two similar figures, the square of the linear similarity ratio. If one figure is triple the other in each side, its area is not triple, but nine times larger — because area has two dimensions. It explains why enlarging a photo makes the ink cover far less than the size suggests. Enter the similarity ratio between the sides.
Central Angle of a Regular Polygon
Calculates the central angle of a regular polygon, 360° ÷ number of sides, the angle each side subtends from the figure's center. In a hexagon it is 60°, in a pentagon 72° — and it is this angle that defines how to split a circle into equal slices to draw the polygon. It appears in design, gears, and geometric constructions. Enter the number of sides.
RL Circuit Impedance
Calculates the impedance of a series RL circuit, √(R² + XL²), the total opposition that resistance and inductance together offer to alternating current. Since the two effects are 90° out of phase, they don't add directly — they combine like the legs of a right triangle. It is a central calculation in designing filters, motors, and power supplies. Enter the resistance and the inductive reactance.
Energy Stored in an Inductor
Calculates the energy stored in an inductor's magnetic field, ½·L·I², which grows with the square of the current. Unlike the capacitor, which stores energy in an electric field, the inductor stores it in the magnetic one — and returns it to the circuit when the current drops. It is the principle behind switched-mode supplies, transformers, and ignition systems. Enter the inductance and the current.
pH of a Strong Base
Calculates the pH of a strong base, 14 + log of the hydroxide concentration, at 25 °C. Since strong bases dissociate completely, the OH⁻ concentration is the base concentration itself — and the pH lands well above 7, in alkaline territory. A 0.01 mol/L sodium hydroxide solution, for example, has a pH of 12. It is a basic solution-chemistry calculation. Enter the hydroxide-ion concentration.
Total Active Ingredient Amount
Calculates the total amount of active ingredient, dose per tablet × number of tablets, the total drug a patient receives by taking several units. It is the calculation for checking whether a blister pack delivers the correct daily dose, or for comparing presentations with different strengths. Getting it right avoids both underdosing and poisoning. Enter the dose of each tablet and the number of tablets.
Body Fat Percentage (Siri Equation)
Calculates the body-fat percentage by the Siri equation, (495 ÷ body density) − 450, a classic method that converts the body's density into fat. The less dense the body, the more fat it carries, since fat floats and muscle sinks. It is the formula used after hydrostatic weighing, the gold standard of physical assessment for decades. Enter the body density in g/mL.
Lean Body Mass
Calculates lean body mass, weight × (1 − body-fat percentage), everything in the body that is not fat: muscle, bone, organs, and water. It is the preferred reference for dosing certain medications, protein needs, and training goals, because it is the metabolically active tissue. Tracking lean mass says more about health than the number on the scale. Enter the weight and the body-fat percentage.
Average Inventory Period
Calculates the average inventory period, (average inventory ÷ cost of goods sold) × 360, the number of days a product sits in stock until it is sold. The shorter the period, the faster the turnover and the less capital tied up in goods. It is a central piece of the operating cycle and a thermometer of efficiency for anyone in resale. Enter the average inventory and the cost of goods sold for the period.
Perimeter Ratio of Similar Figures
Calculates the ratio between the perimeters of two similar figures, which equals the similarity ratio between the sides itself. Unlike areas, which grow with the square, and volumes, with the cube, perimeters follow the linear scale in direct proportion: double the side, double the outline. It is the simplest of the three similarity ratios. Enter two corresponding sides of the figures.
Moment of Inertia of a Disk
Calculates the moment of inertia of a disk spinning about its own axis, ½·M·R², the measure of how much it resists changing its rotation. The more mass and the farther from the center, the greater the inertia — which is why heavy flywheels keep the spin steady. It is an essential calculation in the engineering of rotating machines, wheels, and turbines. Enter the disk's mass and radius.
Moment of Inertia of a Rod
Calculates the moment of inertia of a thin rod rotating about its center, (1 ÷ 12)·M·L², the rod's resistance to spinning about an axis at its middle. The one-twelfth factor appears because the mass is spread along the length, not concentrated at the end. It appears in pendulums, propellers, balances, and any elongated body in rotation. Enter the rod's mass and length.
pH of a Strong Acid
Calculates the pH of a strong acid, −log of the hydrogen-ion concentration, the scale that measures a solution's acidity. Since strong acids dissociate completely, the H⁺ concentration is the acid concentration itself — and the pH lands below 7. A 0.001 mol/L hydrochloric acid solution, for example, has a pH of 3. It is one of the basic calculations of solution chemistry. Enter the hydrogen-ion concentration.
Moles of Solute (n = M·V)
Calculates the number of moles of a solute from the molarity and the solution volume, n = molarity × volume. It is the calculation that tells how much matter is actually dissolved when you know the concentration and how much solution you have. It inverts the definition of molarity and is a required step to prepare solutions and get quantities right in reactions. Enter the molarity and the solution volume in liters.
Drops to mL Conversion
Converts a number of drops into milliliters using the drip factor, drops ÷ factor, normally 20 drops per milliliter for common IV sets. It is a daily conversion in nursing and in administering liquid medications, where the prescription comes in drops but the preparation requires the exact volume. The factor changes with the IV set, so check yours. Enter the number of drops and the drip factor.
Cumulative Corticosteroid Dose
Calculates the cumulative dose of a corticosteroid, daily dose × number of treatment days, the total drug the patient receives over time. It is an important figure because many corticosteroid side effects — osteoporosis, cataracts, weight gain — depend more on the accumulated dose than on the daily one. Tracking this total helps weigh risks in long treatments. Enter the daily dose and the number of days.
Osmolar Clearance
Calculates osmolar clearance, (urine osmolality × urine volume) ÷ plasma osmolality, the volume of plasma the kidneys clear of osmotically active solutes per unit of time. It is the basis for understanding how the kidney concentrates or dilutes urine and the starting point for calculating free water clearance. It appears in the investigation of sodium and water disorders. Enter the urine and plasma osmolalities and the urine volume.
Estimated FiO₂ for Nasal Cannula
Estimates the inspired oxygen fraction (FiO₂) on a nasal cannula, 21% + 4% per liter per minute of flow, a bedside rule of thumb. Room air has 21% oxygen, and each extra liter of O₂ adds about 4 percentage points. The estimate holds up to about 6 L/min; above that, it saturates. It helps adjust oxygen delivery without sophisticated equipment. Enter the oxygen flow in liters per minute.
Consumer Surplus
Calculates consumer surplus, ½ × (maximum price − equilibrium price) × quantity, the gain of those who paid less than they were willing to. It is the area of the triangle between the demand curve and the market price — a central welfare measure in microeconomics. The larger the surplus, the more value buyers extract from the exchange. Enter the maximum price they would pay, the equilibrium price, and the quantity traded.
Number of Subsets of a Set
Calculates the number of subsets of a set, 2 raised to the number of elements, counting every possible combination, from the empty set to the whole set. Each element added doubles the total — which is why a set of 10 elements already has 1024 subsets. It is a fundamental result of combinatorics and set theory. Enter the number of elements in the set.
Permutations with Repetition
Calculates the number of distinct permutations of elements with repetition, n! divided by the factorials of the repeated groups. It is the calculation that tells how many different anagrams a word with repeated letters generates — in a word like ARARA, the repetitions drastically cut the total. Without discounting the repetitions, we would count identical arrangements as different. Enter the total number of elements and the size of each repeated group.
Parallel Axis Theorem (Steiner)
Calculates the moment of inertia about a shifted axis using the parallel-axis theorem, I = I_cm + M·d², which adds the distance term to the center-of-mass inertia. It lets you find the inertia of a body rotating about any point, not just the center — essential in physical pendulums, doors, and connecting rods. The farther the axis, the greater the inertia. Enter the center-of-mass inertia, the mass, and the distance between the axes.
Average Kinetic Energy of a Gas
Calculates the average kinetic energy of an ideal-gas molecule, (3/2)·k·T, which depends only on the absolute temperature, not the type of gas. It is one of the pillars of kinetic theory: temperature is nothing more than a measure of the molecules' average agitation. The Boltzmann constant bridges the microscopic world and the temperature scale. Enter the absolute temperature in kelvin.
Moles from Mass (n = m/M)
Calculates the number of moles of a substance from the mass and the molar mass, n = mass ÷ molar mass. It is chemistry's most-used conversion: it translates the grams you weigh on the scale into the amount of substance that matters in reactions. A mole is always the same number of particles, but it weighs differently for each substance. Enter the sample mass and the molar mass.
Solute Mass from Mass Percentage
Calculates the mass of solute in a solution from the mass percentage, percentage × solution mass, finding how much pure solute is inside the mixture. The mass percentage is the fraction of the total mass that is solute — a 20% value means 20 grams of solute per 100 grams of solution. It is a basic calculation in preparing and labeling solutions. Enter the percentage and the total mass of the solution.
Tablet Stock Duration
Calculates how many days a stock of tablets will last, number of tablets ÷ tablets per day. It is the calculation for those who need to know when to renew the prescription or restock the medication before it runs out — useful for patients on continuous use and for pharmacy control. It avoids both shortages and waste from expiration. Enter the number of tablets in stock and how many are taken per day.
Final Drug Concentration in IV Fluid
Calculates the final concentration of a drug diluted in IV fluid, drug dose ÷ fluid volume, in milligrams per milliliter. It is a critical calculation in preparing intravenous medications, where the concentration defines the safe infusion rate and the dose that actually reaches the patient. Getting the dilution wrong can underdose or poison. Enter the drug dose in milligrams and the fluid volume in milliliters.
Rate-Pressure Product
Calculates the rate-pressure product, heart rate × systolic blood pressure, an indirect index of the heart's workload and the myocardium's oxygen consumption. It rises with physical effort and is monitored in stress tests and cardiac rehabilitation to set safe training limits. The higher the value during exercise, the greater the demand placed on the heart. Enter the heart rate and the systolic blood pressure.
Producer Surplus
Calculates producer surplus, ½ × (equilibrium price − minimum price) × quantity, the gain of those who sold for more than they would accept. It is the mirror of consumer surplus: the area between the supply curve and the market price. Together, they measure the total welfare a transaction generates. Enter the equilibrium price, the minimum price sellers would accept, and the quantity traded.
Sum of the First n Natural Numbers
Calculates the sum of the first n natural numbers, n × (n + 1) ÷ 2, the formula Gauss reportedly discovered as a child by adding 1 to 100 in an instant. Instead of summing term by term, it pairs the extremes — 1 with 100, 2 with 99 — and multiplies. It is the basis of arithmetic progressions and a classic of mathematical reasoning. Enter up to which natural number you want to sum.
Sum of an Infinite Geometric Series
Calculates the sum of the infinite terms of a geometric progression, first term ÷ (1 − ratio), valid when the ratio is between −1 and 1. Even with infinitely many terms, the sum converges to a finite number, because each term is a fraction of the previous one. It is the paradox that resolves Zeno's arrow and appears in interest, fractals, and repeating decimals. Enter the first term and the ratio.
Conservation of Angular Momentum
Calculates the final angular velocity by conservation of angular momentum, I₁·ω₁ ÷ I₂, when a rotating body changes its moment of inertia without external torque. It is what makes a skater spin faster by pulling in their arms: as the inertia drops, the speed rises in the same proportion. It appears in collapsing stars, divers, and gyroscopes. Enter the initial inertia and angular velocity and the final inertia.
Friction Coefficient from Angle of Repose
Calculates the coefficient of static friction from the angle of repose, the tangent of the angle at which an object begins to slide on an incline. It is a clever way to measure friction without a dynamometer: just tilt the ramp until the body slips and note the angle. It applies to piled grains, slopes, and any inclined surface. Enter the angle of repose in degrees.
Gas Volume at STP
Calculates the volume a gas occupies at standard temperature and pressure (STP), number of moles × 22.4 liters, since one mole of any ideal gas occupies the same molar volume. It is a direct consequence of Avogadro's law and an indispensable shortcut in the stoichiometry of reactions with gases. It holds at 0 °C and 1 atm. Enter the amount of substance in moles.
Relative Density of a Solution
Calculates the relative density of a solution, solution density ÷ reference density, usually that of water. It is a unitless number that tells how many times denser the solution is than the comparison liquid — above 1, it sinks; below, it floats. It is measured by hydrometers in laboratories, the beverage industry, and battery control. Enter the solution density and the reference density.
Percentage Solution to mg/mL
Converts a percentage solution's concentration (w/v) to milligrams per milliliter, multiplying by 10, since 1% equals 1 gram per 100 milliliters. It is an essential conversion in pharmacy and anesthesia: 2% lidocaine, for example, contains 20 mg per milliliter. Knowing it by heart avoids dosing errors at the moment of administration. Enter the solution's percentage concentration.
Transtubular Potassium Gradient (TTKG)
Calculates the transtubular potassium gradient (TTKG), (urine ÷ plasma potassium) ÷ (urine ÷ plasma osmolality), which estimates aldosterone's action on the kidneys. It is used to investigate potassium disorders: in hyperkalemia, a low TTKG points to a lack of aldosterone; in hypokalemia, a high value suggests renal loss. It refines the diagnosis beyond the simple blood test. Enter the urine and plasma potassium and osmolalities.
Mean Corpuscular Hemoglobin (MCH)
Calculates the mean corpuscular hemoglobin (MCH), hemoglobin × 10 ÷ red-cell count, the average amount of hemoglobin inside each red blood cell, in picograms. It is one of the blood-count indices that helps classify anemias: low values indicate hypochromic cells, common in iron deficiency; high ones appear in certain macrocytic anemias. The normal range is 27 to 33 pg. Enter the hemoglobin and the red-cell count.
Calmar Ratio
Calculates the Calmar ratio, annualized return ÷ maximum drawdown, a performance measure that penalizes funds for large drops. Unlike the Sharpe ratio, which uses volatility, the Calmar focuses only on the worst historical fall — what frightens investors most. The higher the ratio, the better the return relative to the maximum-loss risk. Enter the annualized return and the maximum drawdown, both as percentages.
Gross Rate Equivalent to Net
Calculates the gross rate equivalent to a net rate, net rate ÷ (1 − income tax), to compare tax-exempt investments with taxed ones on equal footing. A tax-free bond yielding 8% net equals a taxed one that must yield more than that gross to match, since the taxed one still pays income tax. It is the calculation that reveals which investment truly yields more. Enter the net rate and the income-tax rate.
Centroid of a Triangle
Calculates the centroid of a triangle, the average of the three vertices' coordinates, the point where the three medians cross. It is the figure's center of gravity: if you cut the triangle out of cardboard, it would balance perfectly on a pencil tip at this point. It divides each median in a 2:1 ratio from the vertex. Enter the coordinates of the three vertices.
Triangle Area from Coordinates
Calculates the area of a triangle from the vertices' coordinates, half the absolute value of a determinant with the three points. It is the ideal method when you know the positions in the plane but not the sides — common in surveying, computer graphics, and analytic geometry. It works for any triangle, with no need to measure bases or heights. Enter the coordinates of the three vertices.
Moment of Inertia of a Hollow Cylinder
Calculates the moment of inertia of a hollow cylinder (or tube) spinning about the central axis, ½·M·(R_outer² + R_inner²), accounting for the hollow middle. Because its mass is concentrated far from the center, a tube resists rotation more than a solid cylinder of the same mass. It appears in shafts, rollers, and hollow flywheels. Enter the mass and the outer and inner radii.
Electric Current Density
Calculates the electric current density, current ÷ cross-sectional area, which measures how much current passes through each unit of area of a conductor. It is this, not the total current, that determines the heating and the limit of a wire — which is why thin cables get hotter. It appears in conductor sizing and electrochemistry. Enter the current and the cross-sectional area.
atm to mmHg Conversion
Converts a pressure from atmospheres to millimeters of mercury, multiplying by 760, since one standard atmosphere equals exactly 760 mmHg. It is the conversion between two of the most-used pressure units: the atm, common in gas chemistry, and the mmHg, standard in medicine and meteorology. Knowing how to switch between them is routine in the lab. Enter the pressure in atmospheres.
Number of Ampoules Needed
Calculates the number of ampoules needed for a dose, rounding up the total dose divided by the dose in each ampoule. Since you can't practically use half an ampoule in clinical care, it always rounds to the next whole — requesting 250 mg of a drug in 100 mg ampoules needs three ampoules, not two and a half. It is a routine calculation in preparing medications. Enter the total prescribed dose and the dose per ampoule.
Fractional Excretion of Urea (FEUrea)
Calculates the fractional excretion of urea (FEUrea), (urine urea × plasma creatinine) ÷ (plasma urea × urine creatinine) × 100, used to distinguish the cause of acute kidney injury. Values below 35% point to a prerenal cause, such as dehydration. Its advantage over the fractional excretion of sodium is that it stays reliable even in those on diuretics. Enter the urine and plasma urea and creatinine.
Osmol Gap
Calculates the osmol gap, the difference between the osmolality measured in the lab and the one calculated by formula. A value above 10 mOsm/kg reveals the presence of unaccounted particles in the blood — a warning sign for methanol, ethylene glycol, or ethanol poisoning. It is a fast screening tool in the emergency room. Enter the measured and the calculated osmolality.
Deflate a Value by Inflation
Calculates the deflated value, nominal value ÷ (1 + inflation), to find how much a sum today would be worth in the purchasing power of an earlier period. It is the opposite of monetary correction: instead of bringing the past to the present, it discounts inflation to reveal the real gain. It shows whether a salary or investment truly grew above prices. Enter the nominal value and the period's inflation as a percentage.
Sample Range
Calculates the sample range, the largest value minus the smallest in a data set, the simplest measure of dispersion. It shows at a glance how spread out the numbers are, from minimum to maximum, with no elaborate calculations. It is a first snapshot of variability — though sensitive to extreme values, since it looks only at the ends. Enter the largest and the smallest value of the sample.
Apparent Depth
Calculates the apparent depth of a submerged object, real depth × (observer's index ÷ medium's index), the effect that makes a pool look shallower than it is. Light refracts as it leaves the water, fooling the eye — which is why fish and stones on the bottom seem closer to the surface. It applies to any change of transparent medium. Enter the real depth and the refractive indices of the medium and the observer.
Power of Lenses in Contact
Calculates the total power of two thin lenses in contact, the simple sum of their individual powers in diopters. When thin lenses are placed against each other, their effects add up — that is how eyeglass and contact-lens prescriptions combine, or how optical systems are built. Positive powers converge; negative ones diverge. Enter the powers of the two lenses.
mmHg to atm Conversion
Converts a pressure from millimeters of mercury to atmospheres, dividing by 760, since one standard atmosphere equals 760 mmHg. It is the inverse of the atm-to-mmHg conversion, taking the unit common in medicine and meteorology back to the atm of gas chemistry. It is useful for harmonizing measurements from different instruments. Enter the pressure in millimeters of mercury.
Moles of Dissociated Ions
Calculates the number of moles of ions released in a compound's dissociation, moles of compound × ions per formula, assuming complete dissociation. One mole of calcium chloride, which splits into one calcium ion and two chloride ions, releases three moles of ions. It is the basis of the van't Hoff factor and of colligative-property calculations, like freezing-point depression. Enter the moles of compound and the number of ions per formula.
Volume to Draw (Dose/Concentration)
Calculates the volume to draw from a vial, desired dose ÷ available concentration, to know how many milliliters to pull into the syringe. It is one of nursing's most frequent calculations: if the prescription calls for 250 mg and the vial has 100 mg per milliliter, you draw 2.5 mL. Getting it right is a safety matter — an error here means the wrong dose. Enter the desired dose and the solution's concentration.
Solute Amount for a Percentage Solution
Calculates the mass of solute needed to prepare a percentage solution (w/v), percentage ÷ 100 × volume, in grams. To make 200 mL of 5% glucose solution, for example, you dissolve 10 grams of glucose. It is the base calculation in preparing solutions in the lab, pharmacy, and hospital. Enter the desired percentage concentration and the final volume of the solution.
Sodium Change per Liter (Adrogué-Madias)
Calculates the expected change in serum sodium per liter of infused solution by the Adrogué-Madias formula, (infusate sodium − serum sodium) ÷ (body water + 1). It is the tool that guides the safe correction of sodium disorders, avoiding raising sodium too fast — an error that can cause severe brain injury. It estimates how much each liter of fluid changes the patient's sodium. Enter the infusate sodium, the serum sodium, and the total body water.
Fluid Balance
Calculates the fluid balance, total fluids in minus those out, in milliliters. A positive result indicates retention; a negative one, loss. It is closely monitored in hospitalized patients, where IV fluids, water, and diet are summed on one side and urine output, vomiting, and drains on the other. Imbalances point to kidney, heart, or hydration problems. Enter the total fluid intake and the total fluid output.
Rule of 72 (Time to Double)
Calculates how long an investment takes to double by the rule of 72, dividing 72 by the interest rate per period. It is a famous mental shortcut: at 8% per year, money doubles in about 9 years. The approximation works well for moderate rates and skips logarithms, giving a quick sense of the power of compound interest. Enter the interest rate per period as a percentage.
Tax Burden on a Product
Calculates the tax burden on a product, total taxes ÷ price × 100, revealing what slice of the price paid goes to the government. In countries where taxes hide embedded in the price, this percentage often surprises: on many items, more than a third of what you pay is tax. It is the calculation that lays bare the weight of taxation on consumption. Enter the total taxes and the product's price.
Total Diagonals of a Polygon
Calculates the total number of diagonals of a polygon, n × (n − 3) ÷ 2, counting every segment that joins non-adjacent vertices. Each vertex connects to all others except itself and its two neighbors, and you divide by two so each diagonal isn't counted twice. A hexagon has 9 diagonals; a decagon, 35. Enter the number of sides of the polygon.
Number of Edges of a Prism
Calculates the number of edges of a prism, three times the number of base sides, summing the edges of the two bases and the lateral ones that connect them. A triangular prism has 9 edges; a pentagonal one, 15. It is a direct application of Euler's relation between vertices, edges, and faces, useful in solid geometry and 3D modeling. Enter the number of sides of the prism's base.
Spherical Mirror Magnification
Calculates the magnification of a spherical mirror, minus the image distance divided by the object distance, telling how many times the image grows or shrinks. The sign reveals the orientation: negative, inverted image; positive, upright. A value greater than one in absolute terms enlarges; less, reduces — as in rearview and makeup mirrors. Enter the image and object distances from the mirror.
Angular Frequency from Period
Calculates the angular frequency from the period, 2π divided by the period, the rate at which an oscillation or rotation sweeps angle, measured in radians per second. It is the bridge between the time of one cycle and the angular description of the motion — fundamental in waves, alternating-current circuits, and circular motion. The shorter the period, the higher the angular frequency. Enter the period in seconds.
atm to Pascal Conversion
Converts a pressure from atmospheres to pascals, multiplying by 101,325, since one standard atmosphere equals that many pascals, the official pressure unit in the International System. It is the conversion that links the atm, handy in everyday chemistry, to the pascal required in physics and engineering calculations. Enter the pressure in atmospheres.
Tablets per Dose (with fraction)
Calculates how many tablets correspond to a prescribed dose, dose ÷ dose per tablet, allowing fractions like a half or a quarter. If the prescription calls for 250 mg and each tablet has 100 mg, that's two and a half tablets. It is an everyday calculation for those administering medications, and the fractional result signals when a tablet must be split. Enter the prescribed dose and the dose of each tablet.
Driving Pressure
Calculates the driving pressure in mechanical ventilation, plateau pressure minus PEEP, which reflects how much the lungs are stretched with each breath. Keeping this value below 15 cmH₂O reduces lung injury and improves survival in patients with respiratory distress syndrome. It has become one of the central goals of protective ventilation. Enter the plateau pressure and the PEEP.
Tobin Index (RSBI)
Calculates the Tobin index (RSBI), respiratory rate divided by tidal volume in liters, used to predict whether a patient can breathe alone after the ventilator is removed. Values below 105 indicate good chances of successful extubation; above, rapid shallow breathing, a sign of fatigue. It is one of the most-used tests in ventilator weaning. Enter the respiratory rate and the tidal volume.
Daily Equivalent Interest Rate
Calculates the daily interest rate equivalent to a monthly rate, raising the factor (1 + rate) to the power of one thirtieth and subtracting one. It is the correct conversion between periods under compound interest — you can't just divide the monthly rate by 30, because interest earns on interest. It is useful for comparing investments with different compounding periods. Enter the monthly interest rate as a percentage.
Monthly to Annual Rate Conversion
Converts a monthly interest rate to the equivalent annual one, raising the factor (1 + rate) to the twelfth power and subtracting one. By the magic of compound interest, 1% per month does not become 12% per year, but nearly 12.7% — the difference many people underestimate. It is the essential calculation to compare investments and loans advertised over different periods. Enter the monthly interest rate as a percentage.
Number of Vertices of a Prism
Calculates the number of vertices of a prism, twice the number of base sides, since each vertex of the bottom base has a counterpart on the top one. A triangular prism has 6 vertices; a pentagonal one, 10. Together with the edges and faces, it completes Euler's relation for polyhedra, the basis of solid geometry and 3D modeling. Enter the number of sides of the prism's base.
GCD of Two Numbers
Calculates the greatest common divisor of two numbers, the largest integer that divides both without a remainder, using the Euclidean algorithm. It is the basis for reducing fractions to their simplest form and appears in cryptography, music, and dividing quantities into equal parts. For 48 and 36, for example, the GCD is 12. Enter the two integers.
Final Velocity (v = v₀ + a·t)
Calculates the final velocity of uniformly accelerated motion, initial velocity plus acceleration times time. It is kinematics' most direct equation: it tells what speed a body reaches after accelerating (or braking) for an interval. It applies to a car pulling away, a falling object, or any motion with constant acceleration. Enter the initial velocity, the acceleration, and the time.
Apparent Weight in an Elevator
Calculates the apparent weight of a person inside an elevator, mass × (gravity + acceleration), the force a scale would register during the ascent or descent. Accelerating upward, the person weighs more; downward, less — and in free fall, the apparent weight zeroes, the floating sensation. It is the physics behind the stomach-drop feeling in an elevator. Enter the mass, gravity, and the elevator's acceleration (positive upward).
bar to atm Conversion
Converts a pressure from bar to atmospheres, dividing by 1.01325, since one standard atmosphere equals 1.01325 bar. The two units are almost equal — hence the frequent confusion — but not identical, and the small difference matters in precise measurements of tires, diving, and industrial processes. Enter the pressure in bar.
pH from pOH
Calculates the pH from the pOH, simply subtracting the pOH from 14, at 25 °C. In water, the sum of pH and pOH is always constant — when you know the basicity, you find the acidity in the same step. A solution with pOH 5, for example, has a pH of 9, slightly basic. It is one of the most useful tricks in solution chemistry. Enter the solution's pOH.
mcg to ng Conversion
Converts an amount from micrograms to nanograms, multiplying by a thousand, since each microgram contains a thousand nanograms. It is the conversion used when descending to the scale of extremely potent drugs and hormones, dosed in tiny amounts, and in laboratory tests that report concentrations in nanograms. Enter the amount in micrograms.
PaCO₂ − EtCO₂ Gradient
Calculates the gradient between arterial and exhaled carbon dioxide, PaCO₂ minus EtCO₂, which reflects the efficiency of gas exchange in the lungs. It is normally between 2 and 5 mmHg; when it widens, it signals high dead space — ventilated but poorly perfused areas, as in pulmonary embolism. It is a useful figure in capnography and mechanical ventilation. Enter the PaCO₂ from the blood gas and the EtCO₂ from the capnograph.
Annual to Monthly Rate Conversion
Converts an annual interest rate to the equivalent monthly one, taking the twelfth root of the factor (1 + rate) and subtracting one. It is the correct calculation under compound interest — dividing the annual rate by 12 overstates the value, because it ignores interest on interest. A rate of 12% per year equals about 0.95% per month, not 1%. Enter the annual interest rate as a percentage.
Net Yield After Income Tax
Calculates the net yield of an investment after income tax, gross yield × (1 − tax rate), revealing how much actually lands in the account. It is the indispensable calculation for comparing taxed investments with tax-free ones: a bond yielding a thousand gross, with 15% tax, delivers 850 net. Without subtracting the tax, the advertised return misleads. Enter the gross yield and the income-tax rate.
Number of Faces of a Prism
Calculates the number of faces of a prism, the number of base sides plus two, adding the two bases to the lateral faces. A triangular prism has 5 faces; a pentagonal one, 7. Together with the vertices and edges, it closes Euler's relation for polyhedra — vertices minus edges plus faces is always two. It appears in solid geometry and 3D modeling. Enter the number of sides of the base.
Number of Vertices of a Pyramid
Calculates the number of vertices of a pyramid, the number of base sides plus one, counting the base corners plus the apex at the top. A square pyramid, like those in Egypt, has 5 vertices; a triangular one, 4. It is a direct application of polyhedra structure, useful in solid geometry, architecture, and computer graphics. Enter the number of sides of the pyramid's base.
Average Acceleration (a = Δv/Δt)
Calculates the average acceleration of a body, the change in velocity divided by the time. It is the measure of how fast the velocity changes: a car going from 10 to 30 m/s in 4 seconds accelerates at 5 m/s². The sign indicates whether it speeds up or brakes. It is the most basic definition in dynamics and the starting point of Newton's laws. Enter the initial velocity, the final one, and the time.
Work of a Constant Force
Calculates the work of a constant force, force × displacement × cosine of the angle between them. Only the component of the force along the direction of motion does work — which is why pushing a wall that doesn't move generates no work at all, however tiring. When force and displacement are parallel, the work is maximum. Enter the force, the displacement, and the angle between them.
Torr to atm Conversion
Converts a pressure from torr to atmospheres, dividing by 760, since one standard atmosphere equals 760 torr. The torr unit, heir to Torricelli's barometer, is practically identical to the millimeter of mercury and appears in vacuum work, laboratories, and gas physics. Enter the pressure in torr.
ng to mcg Conversion
Converts an amount from nanograms to micrograms, dividing by a thousand, since each microgram contains a thousand nanograms. It is the conversion that climbs from the scale of laboratory tests and ultra-potent drugs, in nanograms, to the micrograms used in prescriptions. Getting the decimal place right is critical for medications with a narrow therapeutic window. Enter the amount in nanograms.
Airway Resistance
Calculates the airway resistance in mechanical ventilation, the difference between peak and plateau pressure divided by the inspiratory flow. It measures how much the air meets obstruction entering the lungs — it rises in asthma, COPD, and when the tube is blocked. Separating resistance from compliance helps explain why airway pressure rose. Enter the peak and plateau pressures and the flow.
SaO₂/FiO₂ Ratio (S/F)
Calculates the SaO₂/FiO₂ ratio, oxygen saturation divided by the inspired oxygen fraction, a non-invasive surrogate for the PaO₂/FiO₂ ratio that spares the arterial blood gas. It is used to assess and classify the severity of respiratory failure at the bedside — low values indicate worse oxygenation. It gained prominence in triaging critically ill patients. Enter the oxygen saturation and the inspired oxygen fraction.
Annual Rental Yield
Calculates the annual yield of a rented property, monthly rent × 12 ÷ property value × 100, the percentage return the rent generates on the invested capital. It is the indicator that tells whether buying to rent beats investing the money elsewhere — a yield above 6% per year is often considered good. It excludes appreciation and costs. Enter the monthly rent and the property value.
Rent per Square Meter
Calculates the rent per square meter, total rent ÷ area, the metric that lets you compare properties of different sizes on equal footing. It is the number brokers and investors use to tell whether a rent is expensive or cheap for the region, regardless of floor area. The lower the value per m², the better for the tenant. Enter the rent amount and the property's area.
Number of Faces of a Pyramid
Calculates the number of faces of a pyramid, the number of base sides plus one, adding the base to the lateral triangular faces. A square pyramid has 5 faces; a triangular one, 4. Together with the vertices and edges, it closes Euler's relation for polyhedra. It appears in solid geometry, architecture, and 3D modeling. Enter the number of sides of the pyramid's base.
Midpoint in 3D Space
Calculates the midpoint of a segment in three-dimensional space, the average of the x, y, and z coordinates of the two endpoints. It is the natural extension of the plane midpoint to three dimensions, essential in spatial analytic geometry, computer graphics, and modeling. It marks the exact center between two points in space. Enter the coordinates of the two points.
Electric Charge (Q = I·t)
Calculates the electric charge that flows through a conductor, current × time, in coulombs. It is the fundamental definition of current as a flow of charge: a current of 2 amperes for 5 seconds carries 10 coulombs. The calculation appears in electrochemistry, battery charging, and circuit sizing. Enter the electric current and the time.
kPa to atm Conversion
Converts a pressure from kilopascals to atmospheres, dividing by 101.325, since one standard atmosphere equals 101.325 kPa. The kilopascal is the most-used pressure unit in engineering and meteorology outside the US, while the atm dominates gas chemistry. Knowing how to convert between them avoids errors in calculations and instrument readings. Enter the pressure in kilopascals.
Dose in Number of Drops
Calculates the number of drops of a liquid medication to reach the desired dose, dose ÷ concentration × drip factor. It is the calculation for those administering oral medications in drops, where the prescription comes in milligrams but the dose is measured by dripping. The drip factor varies with the bottle — check the product's. Enter the desired dose, the concentration, and the drip factor.
Dosing Interval
Calculates the interval between doses of a medication, 24 hours divided by the number of daily doses. A medicine taken three times a day, for example, should be taken every 8 hours — and respecting this spacing keeps the blood concentration stable. Taking everything at once or at irregular times reduces efficacy and increases side effects. Enter how many times a day the medication is taken.
Lactate Clearance
Calculates lactate clearance, the percentage drop between an initial and a later measurement, (initial − final) ÷ initial × 100. It is a key marker in sepsis and shock: a reduction of at least 10% in the first hours of treatment signals a good response and better prognosis. It shows whether the body is managing to clear the accumulated acid. Enter the initial and final lactate values.
Oxygenation Index (OI)
Calculates the oxygenation index (OI), inspired oxygen fraction × mean airway pressure × 100 ÷ PaO₂, a measure of respiratory failure severity that, unlike the PaO₂/FiO₂ ratio, accounts for the pressure used on the ventilator. The higher the index, the worse the oxygenation — values above 40 may indicate the need for ECMO. It is widely used in pediatrics and neonatology. Enter the FiO₂, the mean airway pressure, and the PaO₂.
Monthly Salary to Hourly Rate
Converts a monthly salary into an hourly rate, dividing the salary by the monthly hours — typically 220 hours for the standard 44-hour workweek in Brazil. It is the calculation for those who want to know what their hour is worth, compare job offers, or price freelance work. A salary of R$ 2,200 over 220 hours gives R$ 10 per hour. Enter the monthly salary and the hours worked in the month.
Diagonal of a Square
Calculates the diagonal of a square, the side multiplied by the square root of two, the distance from one corner to the opposite one. It is one of geometry's most elegant relations: the diagonal is always about 1.414 times the side, a proportion that appears in the shape of A4 paper sheets and in construction. It follows directly from the Pythagorean theorem. Enter the length of the side.
Space Diagonal of a Cube
Calculates the space diagonal of a cube, the edge multiplied by the square root of three, the longest distance inside the solid, from one vertex to the diametrically opposite one. Unlike the diagonal of a face, which uses the square root of two, the cube's crosses the interior in three dimensions. It appears in packaging, crystallography, and solid geometry. Enter the length of the edge.
Voltage Drop in a Conductor
Calculates the voltage drop in a conductor, resistivity × length × current ÷ cross-sectional area, which measures how much voltage is lost along a wire. The longer and thinner the cable, the greater the loss — which is why distant installations require thicker wires. Limiting this drop is a safety and efficiency rule in any electrical project. Enter the resistivity (Ω·mm²/m), the length, the current, and the cross-sectional area (mm²).
Force Between Parallel Currents
Calculates the force per unit length between two parallel current-carrying wires, with the vacuum permeability in the constant. Currents in the same direction attract; in opposite directions, they repel — a phenomenon that once defined the ampere unit itself. The force grows with the currents and decreases with the distance between the wires. Enter the two currents and the distance between the conductors.
mmHg to kPa Conversion
Converts a pressure from millimeters of mercury to kilopascals, multiplying by 0.1333, since each mmHg equals that value in kPa. It is the bridge between the clinical and meteorological unit, the mmHg, and the kilopascal of the International System used in engineering. One atmosphere, 760 mmHg, gives about 101.3 kPa. Enter the pressure in millimeters of mercury.
PSI to atm Conversion
Converts a pressure from pounds per square inch (psi) to atmospheres, dividing by 14.696, since one standard atmosphere equals that value in psi. The psi is the dominant unit in the United States, common in tires, compressors, and diving, while the atm reigns in chemistry. Converting between them avoids dangerous pressure mix-ups. Enter the pressure in psi.
Maximum Local Anesthetic Dose
Calculates the maximum dose of a local anesthetic, maximum dose per kilogram × patient weight, the limit that must not be exceeded to avoid toxicity. Anesthetics like lidocaine have a safety ceiling — exceeding it can cause seizures and cardiac arrest. The dose per kilogram changes with the drug and the use of a vasoconstrictor. Enter the maximum dose per kilogram and the patient's weight.
Alveolar Ventilation
Calculates the alveolar ventilation, (tidal volume − dead space) × respiratory rate, the volume of air that actually reaches the alveoli and takes part in gas exchange each minute. Unlike total minute ventilation, it subtracts the air stuck in the conducting airways, which exchanges no oxygen. It is the measure that truly matters for oxygenation. Enter the tidal volume, the dead space, and the respiratory rate.
Parkland Formula (Burn Resuscitation)
Calculates the fluid resuscitation of a major burn patient by the Parkland formula, 4 mL × weight × percentage of body surface burned, the volume of crystalloid to infuse in the first 24 hours. Half goes in the first 8 hours, counted from the burn, and the rest in the following 16. It is the classic protocol to prevent hypovolemic shock in extensive burns. Enter the weight and the percentage of burned surface.
Hourly Rate to Monthly Salary
Converts the hourly rate into a monthly salary, multiplying by the number of hours in the month — typically 220 hours for the 44-hour workweek in Brazil. It is the reverse calculation for those paid by the hour who want to know what that amounts to per month, useful for freelancers and contractors comparing with salaried positions. Enter the hourly rate and the hours worked in the month.
Number of Edges of a Pyramid
Calculates the number of edges of a pyramid, twice the number of base sides, summing the base edges to those rising to the apex. A square pyramid has 8 edges; a triangular one, 6. Together with the vertices and faces, it completes Euler's relation for polyhedra. It appears in solid geometry, architecture, and 3D modeling. Enter the number of base sides.
Sphere Volume from Diameter
Calculates the volume of a sphere from its diameter, π ÷ 6 times the cube of the diameter, without going through the radius. It is a direct form of the classic formula when what you measure is the diameter — the case for balls, tanks, and drops. Since volume grows with the cube, doubling the diameter multiplies the content eightfold. Enter the diameter of the sphere.
Energy Consumption in kWh
Calculates the energy an appliance consumes in kilowatt-hours, power in watts × time in hours ÷ one thousand. It is the unit that appears on the electricity bill: a 1000-watt shower on for 3 hours consumes 3 kWh. Knowing each appliance's consumption helps make sense of the bill and save energy. Enter the appliance's power and the time of use.
Metric Horsepower to Watts
Converts a power from metric horsepower (cv) to watts, multiplying by about 735.5, since one metric cv equals 735.49875 watts. It is the conversion between the traditional engine unit, common in the spec sheets of cars and machines, and the watt of the International System. Note: the metric cv differs from American horsepower. Enter the power in metric horsepower.
bar to Pascal Conversion
Converts a pressure from bar to pascals, multiplying by one hundred thousand, since one bar equals exactly 100,000 pascals. The bar is handy because it is close to atmospheric pressure, but the pascal is the official unit of the International System. The conversion is routine in meteorology, diving, and industrial processes. Enter the pressure in bar.
atm to Torr Conversion
Converts a pressure from atmospheres to torr, multiplying by 760, since one standard atmosphere equals exactly 760 torr. The torr, heir to Torricelli's mercury barometer, is the preferred unit in vacuum systems and chemistry laboratories. The conversion closes the loop between the main pressure units. Enter the pressure in atmospheres.
Daily Doses from Interval
Calculates how many times a day a medication should be taken, 24 hours divided by the interval between doses. A medicine prescribed every 8 hours, for example, is three daily doses. It is the inverse calculation of the dosing interval, useful for building the schedule and not missing a dose. Enter the interval between doses in hours.
Ideal Weight (Robinson Formula, men)
Calculates the ideal body weight by the Robinson formula for men, 52 kg plus 1.9 kg per inch of height above 1.52 m. It is one of the classic clinical ideal-weight estimates, used in medication dose adjustments and nutritional assessment. Unlike BMI, it starts from height alone. For women, the coefficients change. Enter the height in centimeters.
Smoking Index (Pack-Years)
Calculates the smoking index in pack-years, cigarettes per day divided by twenty and multiplied by the years of smoking, the standard measure of accumulated tobacco load. Twenty pack-years or more greatly raise the risk of lung cancer and COPD, and the index guides who should undergo screening. A pack has 20 cigarettes. Enter how many cigarettes per day and for how many years the person smoked.
Interest-Free Installment Value
Calculates the value of each installment of an interest-free purchase, dividing the total amount by the number of installments. It is the calculation for those paying in installments without a surcharge who want to know how much it will weigh on the monthly budget. Without interest, the sum of the installments is exactly the cash price — any larger value indicates hidden interest. Enter the total amount and the number of installments.
Simple Permutations (n!)
Calculates the number of simple permutations of n distinct elements, the factorial of n, that is, in how many different ways they can be ordered. Five people in a line form 120 possible orders; ten already give more than three million. The growth is explosive — which is why shuffling a deck never repeats. It is the basis of combinatorics. Enter the number of elements.
Equilateral Triangle Area
Calculates the area of an equilateral triangle from its side, side squared times the square root of three, divided by four. Since all sides are equal, just one of them reveals the whole area, with no need to measure the height. It appears in roofs, trusses, signage, and any regular triangular structure. Enter the length of the side.
Work-Energy Theorem
Calculates the work done on a body by the work-energy theorem, half the mass times the difference of the squares of the final and initial velocities. The work of a net force is exactly the change in kinetic energy — accelerating a body requires positive work; braking it, negative. It is one of the pillars of mechanics. Enter the mass, the initial velocity, and the final one.
Round-Trip Average Speed
Calculates the average speed of a round trip traveled at different speeds, twice the product divided by the sum of the two speeds. The result surprises: going at 60 and returning at 40 km/h doesn't average 50, but 48 — because more time is spent at the slower speed. It is the harmonic mean, the correct one for speeds. Enter the outbound and return speeds.
Fahrenheit to Celsius Conversion
Converts a temperature from Fahrenheit to Celsius, subtracting 32 and multiplying by five ninths. It is the essential conversion for reading recipes, weather forecasts, or American thermometers: 98.6 °F, body temperature, equals 37 °C, and water's boiling point, 212 °F, equals 100 °C. Enter the temperature in degrees Fahrenheit.
pH of a Weak Base
Calculates the approximate pH of a weak base from its pKb and concentration, using the relation pH = 14 − ½(pKb − log of concentration). Unlike strong bases, weak ones ionize only partially, so the pH depends on the basicity constant. It is a central calculation in the study of ionic equilibrium and buffer solutions. Enter the pKb and the molar concentration of the base.
Drops to Microdrops Conversion
Converts a number of drops into microdrops, multiplying by three, since each drop equals three microdrops in the standard for common IV sets — 20 drops and 60 microdrops make one milliliter. It is a daily conversion in pediatric nursing and in infusions that require fine drip control. Enter the number of drops.
Child Growth Velocity
Calculates a child's growth velocity, the height difference divided by the time between measurements, in centimeters per year. It is one of the most sensitive parameters in pediatric follow-up: growing less than 4 to 5 cm per year outside growth spurts raises a flag for hormonal or nutritional problems. It is worth more than a single height measurement. Enter the final height, the initial one, and the time between them in years.
Waist-to-Height Ratio (WHtR)
Calculates the waist-to-height ratio, the waist circumference divided by height, a simple and powerful indicator of cardiometabolic risk. The rule of thumb is to keep the waist below half the height — a ratio above 0.5 signals excess abdominal fat, more dangerous than peripheral fat. It predicts risk better than BMI in many studies. Enter the waist circumference and the height, in the same unit.
Salary with a Percentage Raise
Calculates the new salary after a percentage raise, current salary × (1 + percentage ÷ 100). It is the calculation for those who received a raise offer and want to know how much they will now earn — a 15% raise on R$ 2,000 brings the salary to R$ 2,300. It is also useful for negotiating and comparing offers. Enter the current salary and the raise percentage.
Profit Margin on Sales
Calculates the profit margin on the selling price, (price − cost) ÷ price × 100, the percentage of the sold value that remains as profit. Don't confuse it with markup, which is calculated on the cost: a 40% margin on sales equals a much larger markup on cost. It is the indicator that appears in financial statements and profitability analyses. Enter the selling price and the cost.
Total Surface Area of a Cone
Calculates the total surface area of a cone, π × radius × (radius + slant height), summing the circular base to the lateral surface. The slant height is the distance from the tip to the edge of the base. It is the calculation of how much material covers a cone — from party hats to industrial hoppers. Enter the base radius and the slant height.
RPM to rad/s Conversion
Converts a rotational speed from revolutions per minute (RPM) to radians per second, multiplying by π and dividing by 30. It is the conversion between the practical unit for motors and disks, RPM, and the physical unit of angular velocity used in rotation equations. A motor at 60 RPM spins at 2π rad/s. Enter the speed in RPM.
Period from Frequency
Calculates the period of an oscillation from the frequency, simply its inverse. Frequency and period are two ways of describing the same repetition: the frequency counts how many cycles per second, the period measures how long each cycle lasts. A 50 Hz power grid has a period of 0.02 second. Enter the frequency in hertz.
Fahrenheit to Kelvin Conversion
Converts a temperature from Fahrenheit to Kelvin, passing through Celsius: subtract 32, multiply by five ninths, and add 273.15. It is the bridge between the scale used in the United States and the absolute scale of the International System, where zero is absolute zero. Water's boiling point, 212 °F, equals 373.15 K. Enter the temperature in degrees Fahrenheit.
Kelvin to Celsius Conversion
Converts a temperature from Kelvin to Celsius, subtracting 273.15. The two scales have divisions of the same size — only the origin changes: zero Kelvin is absolute zero, the coldest possible point, while zero Celsius is water's freezing point. 300 K equals 26.85 °C, a pleasant room temperature. Enter the temperature in kelvin.
Microdrops to Drops Conversion
Converts a number of microdrops into drops, dividing by three, since each drop equals three microdrops in common IV sets. It is the inverse of the drops-to-microdrops conversion, useful when a prescription in microdrops must be adjusted to a macrodrip set. Enter the number of microdrops.
Percentage Weight Loss
Calculates the percentage of weight loss, (initial weight − current weight) ÷ initial weight × 100, showing how much of the original weight was lost. In geriatrics and oncology, an involuntary loss above 5% in six months raises a flag for malnutrition or disease. It is also the metric that tracks diets and bariatric surgeries. Enter the initial weight and the current weight.
Percentage Weight Gain
Calculates the percentage of weight gain, (current weight − initial weight) ÷ initial weight × 100, revealing how much the weight increased relative to the starting point. It is used in monitoring pregnant women, nutritional recovery, and strength training, where gaining mass is the goal. It shows progress in relative terms, not just in kilos. Enter the initial weight and the current weight.
Cost per Use
Calculates the cost per use of a product, price divided by the number of times it will be used. It is the calculation that reveals what's truly worthwhile: an expensive, durable item can come out cheaper per use than a cheap, disposable one. It helps decide between buying quality or low price, from appliances to clothing. Enter the product's price and the expected number of uses.
Surface Area of a Sphere
Calculates the surface area of a sphere, 4 × π × radius², the "shell" that wraps the solid. Curiously, it equals exactly the area of four circles of the same radius. It appears in calculating paint for spherical tanks, the physics of bubbles, and even estimating the surface of planets. Enter the radius of the sphere.
Length Contraction (Lorentz)
Calculates the length contraction of an object moving at speeds close to that of light, rest length × √(1 − v² ÷ c²), predicted by Einstein's relativity. To a stationary observer, the object shortens along the direction of motion — an effect imperceptible in daily life, but real and measured in particle accelerators. At 80% of light speed, a ruler loses almost half its length. Enter the rest length and the velocity in m/s.
Moment of Inertia of a Point Mass
Calculates the moment of inertia of a point mass, mass × distance to the axis², the simplest way to measure resistance to rotation. All the rotational inertia of complex bodies is, at its core, the sum of many points like this. The farther from the axis, the more the mass weighs in the rotation — which is why spreading the arms slows a spin. Enter the mass and the distance to the rotation axis.
ppm to mg/L Conversion
Converts a concentration from parts per million (ppm) to milligrams per liter, multiplying by the solution's density. In pure water, with density close to 1, the two units are practically equal — hence the common confusion. But in denser solutions, the conversion requires the density factor. Enter the concentration in ppm and the solution's density in g/mL.
Celsius to Rankine Conversion
Converts a temperature from Celsius to Rankine, adding 273.15 and multiplying by nine fifths. The Rankine scale is the absolute counterpart to Fahrenheit, just as Kelvin is to Celsius — its zero is absolute zero, but with degrees the size of Fahrenheit's. It is used in thermodynamics and engineering in the United States. Enter the temperature in degrees Celsius.
mcg to g Conversion
Converts an amount from micrograms to grams, dividing by a million, since one gram contains a million micrograms. It is the largest of the mass conversions in pharmacy, used when comparing tiny doses of potent drugs with the gram scale of packages. Getting the number of zeros wrong here is dangerous. Enter the amount in micrograms.
g to mcg Conversion
Converts an amount from grams to micrograms, multiplying by a million, since each gram equals a million micrograms. It is the inverse of the mcg-to-gram conversion, needed when a measure in grams must become the tiny scale used in hormones, vitamins, and high-potency drugs. Enter the amount in grams.
Body Surface Area (Haycock)
Calculates the body surface area by the Haycock formula, from weight and height, one of the most-used estimates in pediatrics because it works well in children and newborns. The body's surface area is the basis for dosing chemotherapy, calculating indexed cardiac output, and assessing burns. Enter the weight in kilograms and the height in centimeters.
Stroke Volume Index
Calculates the stroke volume index, stroke volume divided by body surface area, which adjusts how much the heart pumps per beat to the patient's size. Indexing by surface area lets you compare a child and an adult on the same scale — the normal range is 33 to 47 mL/m². It is a hemodynamic parameter used in intensive care. Enter the stroke volume and the body surface area.
Family Allowance
Calculates the family allowance, number of children up to 14 years old × value of the quota per child, a benefit paid to low-income workers by social security. The quota is adjusted every year and has an income ceiling to qualify. It is added to the salary and helps support dependents. Enter the number of eligible children and the current quota value per child.
Right Triangle Area from Legs
Calculates the area of a right triangle from its two legs, half the product between them. Since the legs are perpendicular, one works as the base and the other as the height — nothing else needs to be measured. It is the fastest way to find the area when the right angle is identified. It appears in land plots, roofs, and technical drawing. Enter the lengths of the two legs.
Nth Term of a Geometric Progression
Calculates any term of a geometric progression, first term × ratio raised to the position minus one. Without listing the entire sequence, the formula jumps straight to the desired term — useful in compound interest, population growth, and decay. At each step, you multiply by the ratio. Enter the first term, the ratio, and the position of the term.
Leg by the Pythagorean Theorem
Calculates the length of a leg by the Pythagorean theorem, the square root of the difference between the square of the hypotenuse and the square of the other leg. It is the inverse calculation of the one that finds the hypotenuse: when you know the longest side and one of the shorter ones, you find the missing one. It appears in construction, navigation, and geometry. Enter the hypotenuse and the known leg.
Gravitational Field Strength
Calculates the gravitational field strength, gravitational constant × body mass ÷ distance², the acceleration a celestial body imposes around it. It is the same g we feel as gravity: at Earth's surface, it gives about 9.8 m/s². It varies with the planet's mass and falls with the square of the distance. Enter the body's mass and the distance to the center.
Mechanical Stress (σ = F/A)
Calculates the mechanical stress in a material, force divided by the cross-sectional area, the internal pressure it withstands under load. It is what determines whether a beam, cable, or bolt will hold or break — each material has a stress limit. Measured in pascals, it is the basis of structural design. Enter the applied force and the cross-sectional area.
Relative Strain (ε = ΔL/L₀)
Calculates the relative strain of a material, the change in length divided by the original length, a unitless number that measures how much it stretched or compressed in proportion. Together with stress, it defines a material's stiffness by Hooke's law. Small in solids, large in rubber. Enter the change in length and the initial length, in the same unit.
Rankine to Celsius Conversion
Converts a temperature from Rankine to Celsius, subtracting 491.67 and multiplying by five ninths. It is the inverse of the Celsius-to-Rankine conversion, bringing the American-origin absolute scale back to the everyday scale. 536.67 °R equals 25 °C, room temperature. Enter the temperature in degrees Rankine.
ng to g Conversion
Converts an amount from nanograms to grams, dividing by a billion, since one gram contains a billion nanograms. It is the conversion between the scale of the most sensitive laboratory tests, in nanograms, and that of grams. It is useful in toxicology and dosing hormones and markers. Enter the amount in nanograms.
Basal Metabolic Rate (Cunningham)
Calculates the basal metabolic rate by the Cunningham equation, 500 + 22 × lean mass, based on fat-free mass instead of total weight. That makes it more accurate for athletes and very muscular people, in whom weight-based formulas overestimate expenditure. It tells how many calories the body burns at complete rest. Enter the lean mass in kilograms.
Selling Price with Taxes
Calculates a product's selling price by adding the cost to the desired profit and applying taxes on the total, (cost + profit) × (1 + rate). It is the direct way to price when you know how much you want to earn and which tax applies to the sale. It ensures the tax doesn't erode the planned margin. Enter the cost, the desired profit, and the tax rate.
Quarterly to Annual Rate Conversion
Converts a quarterly interest rate to the equivalent annual one, raising the factor (1 + rate) to the fourth power and subtracting one, since a year has four quarters. By compound interest, 3% per quarter doesn't become 12% per year, but about 12.55%. It is the right calculation to compare investments with different terms. Enter the quarterly interest rate as a percentage.
Circumference of a Circle
Calculates the circumference of a circle, 2 × π × radius, the distance around the circle. It is the relation that defines the number π itself — the ratio between the outline and the diameter of any circle is always the same. It appears in wheels, gears, tracks, and anything that spins or is round. Enter the radius of the circle.
Weighted Average of Two Values
Calculates the weighted average of two values, each multiplied by its weight and divided by the sum of the weights. Unlike the simple average, it gives more importance to the value with the greater weight — it's how a final grade is calculated when the exam counts more than the assignment, or the average price of two purchases of different sizes. Enter the two values and their weights.
Tangential Acceleration
Calculates the tangential acceleration of a body in circular motion, angular acceleration × radius, the part of the acceleration that changes the speed along the path. Unlike the centripetal one, which only changes direction, the tangential speeds up or slows down the spin. It appears when a disk starts or stops, or a car accelerates in a curve. Enter the angular acceleration and the radius.
Resultant of Perpendicular Forces
Calculates the resultant of two perpendicular forces, the square root of the sum of their squares, exactly like the hypotenuse of a right triangle. When two forces act at a right angle — like a crosswind on an advancing airplane — they don't add directly, but combine by the Pythagorean theorem. Enter the magnitudes of the two forces.
Kelvin to Fahrenheit Conversion
Converts a temperature from Kelvin to Fahrenheit, subtracting 273.15, multiplying by nine fifths, and adding 32. It is the bridge between the absolute scale of the International System and the scale used in everyday life in the United States. 300 K, room temperature, equals about 80 °F. Enter the temperature in kelvin.
Fahrenheit to Rankine Conversion
Converts a temperature from Fahrenheit to Rankine, simply adding 459.67. The two scales use degrees of the same size — Rankine just starts at absolute zero, instead of Fahrenheit's arbitrary zero. That's why the conversion is a direct addition, with no multiplication. It is common in thermal engineering in the United States. Enter the temperature in degrees Fahrenheit.
kg to mg Conversion
Converts an amount from kilograms to milligrams, multiplying by a million, since each kilogram has a million milligrams. It is the conversion that spans the entire mass scale, from the weight of packages to the precise dose of drugs. It is useful in pharmacy, chemistry, and nutrition, whenever the large unit must become the small one. Enter the amount in kilograms.
Ideal Weight (Hamwi Formula, men)
Calculates the ideal body weight by the Hamwi formula for men, 48 kg plus 2.7 kg per inch of height above 1.52 m. Created in the 1960s, it is one of the quickest ideal-weight estimates, still used to adjust medication doses and nutritional needs. For women, the coefficients change. Enter the height in centimeters.
Semiannual to Annual Rate Conversion
Converts a semiannual interest rate to the equivalent annual one, squaring the factor (1 + rate) and subtracting one, since a year has two semesters. By compound interest, 6% per semester doesn't become 12% per year, but 12.36% — the first semester's interest earns in the second. Enter the semiannual interest rate as a percentage.
Loan Down Payment Value
Calculates the down payment value of a loan, total value × down payment percentage ÷ 100. It is the first calculation for those financing a property or a car: how much cash is needed for the down payment. The larger the down payment, the smaller the financed amount and the total interest paid. Enter the total value of the asset and the required down payment percentage.
Combinations with Repetition
Calculates the number of combinations with repetition of n elements taken p at a time, when repetition is allowed and order doesn't matter. It is the calculation of how many ways you can choose, for example, three scoops of ice cream from five flavors, with repetition allowed. Unlike simple combination, here the same element can appear several times. Enter the number of elements and how many will be chosen.
Magnitude of a 3D Vector
Calculates the magnitude of a vector in three-dimensional space, the square root of the sum of the squares of its three components. It is the extension of the Pythagorean theorem to three dimensions, giving the length of the arrow from the origin to the point. It appears in physics, computer graphics, and engineering whenever a quantity with direction is measured. Enter the x, y, and z components of the vector.
Force from Pressure (F = P·A)
Calculates the force exerted by a pressure on a surface, pressure × area. It is the principle that multiplies force in hydraulic systems: the same pressure over a larger area generates a larger force — which is why a hydraulic jack lifts a car with little effort. It appears in brakes, presses, and elevators. Enter the pressure and the surface area.
Work of a Gas at Constant Pressure
Calculates the work done by a gas expanding at constant pressure, pressure × change in volume. It is the work that pushes an engine's piston with each explosion, converting the expansion of gases into motion. When the gas compresses, the work is negative: the surroundings do work on it. It is the basis of thermodynamics. Enter the pressure and the change in volume.
Rankine to Fahrenheit Conversion
Converts a temperature from Rankine to Fahrenheit, subtracting 459.67. The two scales have degrees of the same size — Rankine just shifts the origin to absolute zero. That's why the conversion is a simple subtraction, with no factors. It is the inverse of the Fahrenheit-to-Rankine conversion, common in thermal engineering. Enter the temperature in degrees Rankine.
Kelvin to Rankine Conversion
Converts a temperature from Kelvin to Rankine, multiplying by nine fifths, since both are absolute scales starting from absolute zero, but with degrees of different sizes. Each kelvin equals 1.8 degrees Rankine. It is the conversion between the two absolute scales, the International System one and the American one. Enter the temperature in kelvin.
kg to g Conversion
Converts an amount from kilograms to grams, multiplying by a thousand, since each kilogram has a thousand grams. It is the most-used mass conversion in daily life, from the kitchen to the pharmacy scale. Going from one to the other is just shifting the decimal three places. Enter the amount in kilograms.
Ideal Weight (Miller Formula, men)
Calculates the ideal body weight by the Miller formula for men, 56.2 kg plus 1.41 kg per inch of height above 1.52 m. It is one of several clinical ideal-weight equations, alongside Robinson, Devine, and Hamwi, each with slightly different coefficients. It serves to adjust doses and assess nutritional status. Enter the height in centimeters.
Change Calculator
Calculates the change from a purchase, amount paid minus purchase amount. It is the oldest calculation in commerce, done mentally millions of times a day at the register. Knowing how to check the change on the spot avoids loss, both for the seller and the buyer. Enter the amount handed over and the total purchase amount.
Number of Divisors of a Number
Calculates how many divisors an integer has, counting every number that divides it with no remainder, from 1 to itself. The number 12, for example, has six divisors: 1, 2, 3, 4, 6, and 12. Numbers with few divisors besides 1 and themselves are the primes. It is a central calculation in number theory and factorization. Enter the integer.
Complementary Probability
Calculates the complementary probability of an event, 100% minus the probability of it happening, that is, the chance of it not occurring. Since an event either happens or it doesn't, the two probabilities always add up to the total. Sometimes it is much easier to calculate the opposite chance and subtract — it is statistics' favorite shortcut. Enter the probability of the event as a percentage.
Moment of a Couple
Calculates the moment of a couple of forces, force magnitude × distance between the two parallel, opposite forces. A couple does not move the body, but makes it rotate — it is what happens when we turn a steering wheel with both hands in opposite directions. The moment doesn't depend on the reference point, only on the distance between the forces. Enter the force magnitude and the distance between them.
Total Pressure at the Bottom of a Tank
Calculates the total pressure at the bottom of a tank, atmospheric pressure plus density × gravity × height of the liquid column. The deeper it is, the greater the pressure — which is why divers feel the weight of the water grow with depth. Atmospheric pressure pushes from above, and the liquid adds its own. Enter the atmospheric pressure, the liquid's density, and the column height.
Mol to Millimol Conversion
Converts an amount from moles to millimoles, multiplying by a thousand, since each mole has a thousand millimoles. It is the conversion between chemistry's basic unit and the smaller scale used in dilute solutions, biochemistry, and laboratory tests, where amounts of substance are small. Enter the amount in moles.
Solute Mass from Molarity
Calculates the mass of solute needed to prepare a solution, molarity × volume × molar mass. It is the calculation for those who go to the scale to weigh the reagent to make a solution of known concentration — an essential step in any laboratory. It links the amount of substance you want with the weight of each mole. Enter the desired molarity, the volume, and the solute's molar mass.
Deciliters to Milliliters Conversion
Converts a volume from deciliters to milliliters, multiplying by a hundred, since each deciliter has a hundred milliliters. The deciliter, a tenth of a liter, appears in laboratory tests — like blood glucose in mg/dL — and in some recipes, while the milliliter dominates doses and fine measures. Enter the volume in deciliters.
Triglyceride/HDL Ratio
Calculates the triglyceride/HDL ratio, simply dividing one by the other, a practical marker of cardiometabolic risk drawn from the ordinary lipid panel. Values above 3.5 suggest insulin resistance and a higher risk of heart disease, even with normal total cholesterol. It is a warning sign that many routine exams hide. Enter the triglycerides and the HDL, in the same unit.
HOMA-IR Index (Insulin Resistance)
Calculates the HOMA-IR index, fasting glucose × fasting insulin ÷ 405, a simple estimate of insulin resistance from a blood test. Values above 2.5 suggest the body is responding poorly to insulin, a step toward type 2 diabetes. It is widely used to detect pre-diabetes before glucose spikes. Enter the fasting glucose and the fasting insulin.
Daily to Monthly Rate Conversion
Converts a daily interest rate to the equivalent monthly one, raising the factor (1 + rate) to the thirtieth power and subtracting one, considering a 30-day month. By compound interest, a rate of 0.1% per day yields about 3.04% per month, not 3% — each day's interest accumulates. It is useful to understand the real cost of daily loans. Enter the daily interest rate as a percentage.
Total Installment Amount
Calculates the total value of an installment purchase, installment value × number of installments. It is the calculation that reveals how much you'll really pay by the end — often much more than the cash price, when interest is built into the installment. Comparing this total with the cash price shows the cost of credit. Enter the installment value and the number of installments.
Circular Permutation
Calculates the number of circular permutations of n elements, (n − 1) factorial, that is, how many distinct ways they can be arranged around a circle. Unlike a line permutation, here there is no beginning or end — rotating the whole table doesn't create a new arrangement. It is the calculation of how many ways people can sit around a round table. Enter the number of elements.
Average Power (P = W/t)
Calculates the average power of a process, work done divided by the time taken. It is the measure of how fast energy is transferred or transformed: the same work done in less time means more power. It appears in motors, physical exercise, and electricity bills. Enter the work done and the time interval.
Average Vector Velocity
Calculates the average vector velocity, the displacement (final minus initial position) divided by time. Unlike scalar speed, which considers the whole path traveled, the vector one takes only the starting and ending points into account — if you return to the start, it is zero, no matter how far you walked. Enter the initial position, the final position, and the time.
Millimol to Mol Conversion
Converts an amount from millimoles to moles, dividing by a thousand, since a thousand millimoles make a mole. It is the inverse of the mol-to-millimol conversion, used to bring the small values from laboratory tests and biochemistry back to chemistry's standard unit. Enter the amount in millimoles.
Mol to Micromol Conversion
Converts an amount from moles to micromoles, multiplying by a million, since each mole has a million micromoles. It is the conversion to the tiny scale used in sensitive biochemical analyses, enzymology, and pharmacology, where you work with minute amounts of substance. Enter the amount in moles.
Milliliters to Deciliters Conversion
Converts a volume from milliliters to deciliters, dividing by a hundred, since each deciliter has a hundred milliliters. It is the inverse of the deciliter-to-milliliter conversion, useful for expressing volumes in deciliters, a common unit in blood tests and some culinary recipes. Enter the volume in milliliters.
Castelli Index I (TC/HDL)
Calculates the Castelli index I, total cholesterol divided by HDL, a cardiovascular risk marker more informative than cholesterol alone. It shows the balance between total cholesterol and the protective fraction — the lower, the better. Values above 5 in men and 4.5 in women indicate increased risk. Enter the total cholesterol and the HDL, in the same unit.
TyG Index (Triglyceride-Glucose)
Calculates the TyG index, the natural logarithm of the product of triglycerides and glucose divided by two, a simple and cheap marker of insulin resistance. Drawn from a common blood test, it has been gaining ground as an alternative to HOMA-IR, which requires measuring insulin. The higher it is, the greater the chance of insulin resistance. Enter the triglycerides and the fasting glucose, in mg/dL.
Hourly Teaching Rate
Calculates the hourly teaching rate, total received divided by the number of teaching hours given. It is the calculation for private and freelance teachers to know how much each hour of work is worth and to price new students. It helps compare offers and adjust the price to the workload. Enter the total amount received and the number of teaching hours.
Annual to Monthly Nominal Rate Conversion
Converts an annual interest rate to the nominal monthly one, simply dividing by twelve. It is the linear form, used in contracts that state the annual rate but charge monthly — different from the compound equivalent rate, which would be slightly lower. Knowing the difference avoids paying more interest than it seems. Enter the annual interest rate as a percentage.
Middle Term of an AP (Arithmetic Mean)
Calculates the middle term of an arithmetic progression, the arithmetic mean of two equidistant terms — just add them and divide by two. In an AP, any middle term is exactly the average of its neighbors, a property that defines the sequence. It is also the arithmetic mean between two numbers. Enter the two terms.
Electric Current (I = Q/t)
Calculates the electric current, charge that passes divided by time, that is, how much electricity crosses a point each second. It is the measure in amperes of how intense the flow of electrons is in a circuit. It is the inverse of the calculation that finds the total charge from current and time. Enter the electric charge and the time.
Micromol to Mol Conversion
Converts an amount from micromoles to moles, dividing by a million, since one mole contains a million micromoles. It is the inverse of the mol-to-micromol conversion, used to bring the minute values from biochemistry and pharmacology back to chemistry's standard unit. Enter the amount in micromoles.
Mol to Nanomol Conversion
Converts an amount from moles to nanomoles, multiplying by a billion, since each mole has a billion nanomoles. It is the conversion to the smallest of the amount-of-substance scales, used in dosing hormones, neurotransmitters, and molecules present in minimal concentrations. Enter the amount in moles.
Tablets Needed for Treatment
Calculates how many tablets are needed for a complete treatment, tablets per dose × doses per day × days of treatment. It is the calculation for those going to the pharmacy who want to buy the exact box quantity, without running short or having leftovers. It avoids interrupting treatment for lack of medicine. Enter the tablets per dose, the doses per day, and the duration in days.
Total Treatment Dose
Calculates the total dose of a medication over the entire treatment, dose per intake × intakes per day × number of days. It shows the accumulated amount of active ingredient the patient will receive, useful for checking safety limits and the cumulative dose of drugs with total-dependent toxicity. Enter the dose per intake, the intakes per day, and the days.
Non-HDL Cholesterol
Calculates non-HDL cholesterol, total cholesterol minus HDL, which gathers all the bad cholesterol fractions into a single number. It is considered a better predictor of cardiovascular risk than LDL alone, because it also includes VLDL and other atherogenic lipoproteins. The target is usually below 130 mg/dL. Enter the total cholesterol and the HDL.
LDL/HDL Ratio
Calculates the LDL/HDL ratio, the bad cholesterol divided by the good one, an index that sums up the lipid balance in a number that's easy to track. The lower, the better: values below 2.5 are considered ideal, while above 3.5 they point to high cardiovascular risk. It complements the Castelli index. Enter the LDL and the HDL, in the same unit.
Future Value of a Single Deposit
Calculates the future value of a single deposit, initial capital × (1 + rate)^number of periods. It shows how much an amount invested today will grow over time through compound interest, with no new contributions. It is the basis of any investment: interest earns on interest, and growth accelerates with time. Enter the initial capital, the rate per period, and the number of periods.
Freight Cost per Kilometer
Calculates the value of a freight by distance, kilometers traveled × rate charged per kilometer. It is the basic calculation for carriers, cargo app drivers, and any delivery charged by distance. It helps price a trip and compare freight offers. Enter the distance in kilometers and the rate per kilometer.
Median of Three Numbers
Finds the median of three numbers, the middle value when they are placed in order. Unlike the average, the median ignores extremes: among 3, 5, and 7, the median is 5, even if one of them were much larger. It is a robust measure of central tendency, widely used in statistics to summarize data without the weight of outliers. Enter the three numbers.
Apparent Weight (with Buoyancy)
Calculates the apparent weight of a body immersed in a fluid, real weight minus buoyancy. It is how much an object seems to weigh underwater — which is why we lift a rock more easily submerged than in the air. When buoyancy equals the weight, the body floats and the apparent weight is zero. Enter the real weight and the buoyancy, in the same unit.
Nanomol to Mol Conversion
Converts an amount from nanomoles to moles, dividing by a billion, since one mole contains a billion nanomoles. It is the inverse of the mol-to-nanomol conversion, used to bring the minimal amounts of hormones and biomarkers back to chemistry's standard unit. Enter the amount in nanomoles.
Component Mass from ppm (mg/kg)
Calculates the mass of a component present in a sample from its concentration in ppm, since one part per million equals one milligram per kilogram. Just multiply the concentration in ppm by the total mass in kilos to find the component's mass in milligrams. It is common in analysis of soils, foods, and contaminants. Enter the concentration in ppm and the total mass in kilograms.
Concentration after Dilution (C₁V₁ = C₂V₂)
Calculates the final concentration of a solution after dilution, by the rule C₁V₁ = C₂V₂: initial concentration × initial volume ÷ final volume. When solvent is added, the amount of solute doesn't change, but it spreads over more volume, lowering the concentration. It is the daily calculation of labs and compounding pharmacies. Enter the initial concentration, the initial volume, and the final volume.
Drops Bottle Duration
Calculates how many days a bottle of liquid medication in drops will last, total drops in the bottle divided by drops used per day. The total drops come from the volume multiplied by the drops per milliliter of the dropper. It helps know when to buy the next bottle and avoid running out. Enter the bottle volume, the drops per milliliter, and the drops per day.
QUICKI Index (Insulin Sensitivity)
Calculates the QUICKI index, the inverse of the sum of the logarithms of fasting insulin and glucose, a measure of insulin sensitivity. Unlike HOMA-IR, which rises with resistance, QUICKI falls when sensitivity worsens — values below 0.34 indicate insulin resistance. It is considered accurate and stable. Enter the fasting insulin and glucose.
Fat Mass Index (FMI)
Calculates the fat mass index, body fat mass divided by height squared, in the same fashion as BMI, but considering only the fat. By separating fat from lean mass, it describes body composition better than BMI alone, which confuses muscle with fat. Enter the fat mass in kilograms and the height in meters.
Monthly to Annual Nominal Rate Conversion
Converts a monthly interest rate to the nominal annual one, multiplying by twelve. It is the linear form, in which the twelve months' rates are added without considering interest on interest. The nominal rate is higher than the compound equivalent — which is why contracts usually state the nominal one. Enter the monthly interest rate as a percentage.
Annual to Daily Nominal Rate Conversion
Converts an annual interest rate to the nominal daily one, dividing by 360, the commercial year used in financial markets. It is the linear rate charged per day in operations like overdraft and receivables advance. Small per day, it accumulates fast over the month. Enter the annual interest rate as a percentage.
Sum of the First N Natural Numbers
Calculates the sum of the first N natural numbers, by Gauss's formula: n × (n + 1) ÷ 2. Legend says Gauss discovered this as a child, adding 1 to 100 in seconds and reaching 5050. The formula avoids adding one by one, giving the total of any sequence from 1 to n instantly. Enter the value of n.
Geometric Mean of Two Numbers
Calculates the geometric mean of two numbers, the square root of their product. Unlike the ordinary average, it is the right measure for rates, proportions, and growth — the geometric mean of two return rates reflects the real compound gain. Between 4 and 9, the geometric mean is 6, not 6.5. Enter the two numbers.
Percentage of a Percentage
Calculates the percentage of a percentage, multiplying the two and dividing by a hundred. It is the calculation when one discount applies over another, or when a fraction of a percentage is what matters: 50% of 20% gives 10%, not 70% or 35%. Useful in successive discounts, commissions, and shares. Enter the two percentages.
Internal Energy of a Monatomic Ideal Gas
Calculates the internal energy of a monatomic ideal gas, three halves of the product of the number of moles, the gas constant, and the absolute temperature. For these gases, all the internal energy is in the translational motion of the atoms — there is no rotation or vibration to store energy. It grows directly with temperature. Enter the number of moles and the temperature in kelvin.
ppb to ppm Conversion
Converts a concentration from parts per billion to parts per million, dividing by a thousand, since one ppm equals a thousand ppb. It is the conversion between the scales used for traces of substances — contaminants in water, pollutants in air, residues in food. The ppb measures what is even more diluted. Enter the concentration in ppb.
mg/L to mol/L Conversion
Converts a concentration from milligrams per liter to moles per liter, dividing by the molar mass and by a thousand. It transforms the concentration by mass, easier to measure on a scale, into the concentration by amount of substance, which chemical reactions actually use. It depends on the substance's molar mass. Enter the concentration in mg/L and the molar mass.
Infusion Rate in mg/hour
Calculates the infusion rate of a medication in milligrams per hour, multiplying the solution's concentration by the pump speed in milliliters per hour. It is the nursing calculation to know how much drug the patient receives each hour, essential for vasoactive drugs and sedatives in the ICU. Enter the solution concentration and the infusion speed.
Alveolar Partial Pressure of Oxygen (PAO₂)
Calculates the partial pressure of oxygen in the alveolus by the alveolar gas equation: the inspired fraction of oxygen times atmospheric pressure minus water vapor pressure, minus carbon dioxide divided by the respiratory quotient. It is the starting point to assess gas exchange and the alveolar-arterial gradient. Enter the FiO₂, the atmospheric pressure, and the PaCO₂.
Half-Price Ticket Value
Calculates the half-price ticket value, half of the full price, guaranteed by law to students, the elderly, people with disabilities, and low-income youth at cultural and leisure events. It is the quick calculation at the box office of a cinema, concert, or theater to know how much it will cost with the benefit. Enter the full ticket price.
Discount Savings Amount
Calculates how much you save with a discount, original value × discount percentage ÷ 100. It shows the amount of money that leaves your pocket less, not the final price — useful to see the real size of the promotion. A 30% discount on R$ 250 saves R$ 75. Enter the original value and the discount percentage.
Sum of the First N Odd Numbers
Calculates the sum of the first N odd numbers, which is always n squared — one of the most elegant results in mathematics. Add 1 + 3 + 5 + 7 and you get 16, which is 4². The ancient Greeks already represented this with pebbles forming perfect squares. Enter how many odd numbers to add.
Fraction to Percentage Conversion
Converts a fraction into a percentage, dividing the numerator by the denominator and multiplying by a hundred. It is the bridge between the two ways of expressing a part of the whole: 3/8 becomes 37.5%. Useful for comparing fractions of different sizes, reading statistics, and understanding proportions day to day. Enter the numerator and the denominator.
Internal Energy of a Diatomic Ideal Gas
Calculates the internal energy of a diatomic ideal gas, five halves of the product of the number of moles, the gas constant, and the temperature. Unlike the monatomic gas, the diatomic molecule also rotates, and those two extra degrees of freedom store more energy — hence the five-halves factor instead of three-halves. Gases like nitrogen and oxygen follow this model. Enter the number of moles and the temperature in kelvin.
Number of Molecules from Moles
Calculates the number of molecules present in an amount of substance, multiplying the number of moles by Avogadro's constant, about 6.022 × 10²³. It is the bridge between the world of moles, which we weigh on a scale, and that of individual particles, which no microscope counts one by one. Two moles already have more than a septillion molecules. Enter the amount in moles.
Average Molar Mass of a Mixture (2 components)
Calculates the average molar mass of a mixture of two gases, weighting each one's molar mass by its mole fraction. It is how atmospheric air has a molar mass close to 29 g/mol, an average between the nitrogen and oxygen that compose it. It serves to study gas mixtures in chemistry and engineering. Enter the mole fraction of the first component and the molar masses of both.
mcg/min to mg/h Conversion
Converts an infusion rate from micrograms per minute to milligrams per hour, multiplying by sixty and dividing by a thousand. It is the conversion nursing makes to take the prescribed rate of a vasoactive drug from the per-minute scale to the per-hour scale of the infusion pump. Enter the rate in mcg/min.
Arteriovenous Oxygen Difference
Calculates the arteriovenous oxygen difference, the O₂ content in arterial blood minus that in venous blood, which reveals how much oxygen the tissues extracted. At rest, it is around 5 mL per deciliter; in intense exercise, it rises a lot, since the muscles consume more. It is a central parameter of cardiovascular physiology. Enter the arterial and venous oxygen contents.
Interdialytic Weight Gain (%)
Calculates the interdialytic weight gain, the weight gained between two hemodialysis sessions relative to the dry weight, as a percentage. Since the kidney doesn't filter, fluid and sodium accumulate between sessions — a gain above 4% of dry weight is considered excessive and overloads the heart. It helps guide fluid restriction. Enter the pre-dialysis weight and the dry weight.
Price with Free Shipping Built In
Calculates the selling price with free shipping built in, adding to the product price the shipping cost diluted by the number of items. It is the strategy of stores that advertise "free shipping" but pass the cost into the price — the more items, the smaller the impact per unit. It helps the retailer avoid a loss on delivery. Enter the product price, the shipping cost, and the number of items.
Semiannual to Monthly Nominal Rate Conversion
Converts a semiannual interest rate to the nominal monthly one, dividing by six. It is the linear form, in which the semester's rate is split equally among the six months, without considering compound interest. Useful to understand contracts that state the rate per semester but charge monthly. Enter the semiannual interest rate as a percentage.
Percentage to Decimal Fraction Conversion
Converts a percentage into a decimal fraction of the unit, dividing by a hundred. It is the inverse operation of turning a fraction into a percentage: 37.5% equals 0.375 of the unit. This decimal value is what goes directly into discount, interest, and proportion calculations, where the percentage must become a multiplier. Enter the percentage.
Count of Integers in a Range
Calculates how many integers exist in a range, counting both ends: the larger minus the smaller, plus one. It is the calculation many people get wrong by forgetting the "+1" — from 5 to 17 there are thirteen numbers, not twelve. Useful for counting days, pages, numbered seats, and any closed sequence. Enter the smallest and largest number of the range.
Ideal Gas Temperature (T = PV/nR)
Calculates the temperature of an ideal gas by the equation of state, pressure times volume divided by the number of moles and the gas constant. It is the way to find how hot a gas is when you know its pressure, volume, and amount. One mole occupying 22.4 liters at one atmosphere is at about 273 kelvin. Enter the pressure, the volume, and the number of moles.
Work in an Isothermal Process
Calculates the work done by an ideal gas in an isothermal transformation, in which the temperature doesn't change while the volume varies. The result depends on the logarithm of the ratio between final and initial volumes — when the gas expands, it does positive work on the surroundings. It is a classic case of thermodynamics. Enter the number of moles, the temperature, and the initial and final volumes.
mol/L to mg/L Conversion
Converts a concentration from moles per liter to milligrams per liter, multiplying by the molar mass and by a thousand. It is the inverse of the mg/L-to-molarity conversion, used to express a molar concentration on the mass scale that appears on labels, water reports, and prescriptions. It depends on the substance's molar mass. Enter the concentration in mol/L and the molar mass.
mg/h to mcg/min Conversion
Converts an infusion rate from milligrams per hour to micrograms per minute, multiplying by a thousand and dividing by sixty. It is the inverse of the mcg/min-to-mg/h conversion, used when a prescription comes in mg/h and the pump or protocol works in mcg/min. Enter the rate in mg/h.
Pulmonary Shunt Fraction
Calculates the pulmonary shunt fraction, the portion of blood that passes through the lungs without being oxygenated, by the ratio between the differences in capillary, arterial, and venous oxygen content. A high shunt indicates that part of the blood doesn't participate in gas exchange, as occurs in pneumonia and severe atelectasis. It is an advanced intensive-care parameter. Enter the capillary, arterial, and venous oxygen contents.
Minute Ventilation
Calculates the minute ventilation, the air that enters and leaves the lungs each minute, multiplying the tidal volume by the respiratory rate. In an adult at rest, it is around six liters per minute. It is one of the basic parameters of mechanical ventilation and respiratory assessment. Enter the tidal volume and the respiratory rate.
Daily to Annual Nominal Rate Conversion
Converts a daily interest rate to the nominal annual one, multiplying by 360, the commercial year. It is the linear way to annualize a daily rate, adding the 360 days without considering compound interest. Useful to see the annual size of interest that seems small day to day, like overdraft interest. Enter the daily interest rate as a percentage.
Fraction to Decimal Conversion
Converts a fraction into a decimal number, dividing the numerator by the denominator. It is the operation that turns 3/4 into 0.75, making the fraction easier to compare, add with decimals, or type into a calculator. Every fraction becomes either an exact decimal or a repeating decimal. Enter the numerator and the denominator.
Nth Root of a Number
Calculates the nth root of a number, that is, the value that raised to the index results in the given number. The fifth root of 32 is 2, because 2 raised to the 5th gives 32. It is the inverse operation of exponentiation, equivalent to raising the number to the exponent one over n. Enter the number and the root index.
Thermal Equilibrium Temperature
Calculates the thermal equilibrium temperature of two portions of the same substance mixed together, the mass-weighted average of the temperatures. When hot and cold water meet, heat flows from the hotter to the colder until both reach the same temperature. The larger mass pulls the result toward its temperature. Enter the masses and the initial temperatures.
Number of Images in Angled Mirrors
Calculates the number of images formed by two flat mirrors set at an angle: when 360 divided by the angle is even, it is that quotient minus one; when it is odd, it is the quotient itself. It is what multiplies reflections in a kaleidoscope or in two store mirrors at an angle. The smaller the angle, the more images appear. Enter the angle between the mirrors in degrees.
mol/L to mg/dL Conversion
Converts a concentration from moles per liter to milligrams per deciliter, multiplying by the molar mass and by a hundred. It is the conversion that links the molar unit of textbooks to the milligrams-per-deciliter unit of blood tests — a blood glucose of 0.005 mol/L equals 90 mg/dL. It depends on the substance's molar mass. Enter the concentration in mol/L and the molar mass.
mg/dL to mol/L Conversion
Converts a concentration from milligrams per deciliter to moles per liter, dividing by the molar mass and by a hundred. It is the inverse conversion, used to take blood-test results in mg/dL to the international molar unit adopted in many countries. Useful to compare glucose, cholesterol, and creatinine values across references. Enter the concentration in mg/dL and the molar mass.
drops/min to mL/h Conversion
Converts an infusion rate from drops per minute to milliliters per hour, multiplying by sixty and dividing by the number of drops per milliliter of the IV set. It is the calculation nursing makes to go from the drip counted by eye to the flow programmed on the pump. In the standard 20-drops-per-mL set, 20 drops/min give 60 mL/h. Enter the drops per minute and the drops per milliliter.
mcg/kg/min to mg/h Conversion
Converts an infusion rate from micrograms per kilogram per minute to milligrams per hour, taking the patient's weight into account. It is the calculation to program the pump when the dose comes adjusted to weight, as in vasoactive drugs. It multiplies the dose by the weight and by sixty, and divides by a thousand. Enter the dose in mcg/kg/min and the patient's weight.
Anatomical Dead Space (weight estimate)
Estimates the anatomical dead space, the volume of air that stays in the airways without reaching the alveoli, by the practical rule of about 2 milliliters per kilogram of weight. This air doesn't participate in gas exchange — which is why fast, shallow breaths ventilate worse than few, deep ones. It is a basic parameter of respiratory physiology. Enter the body weight.
Late Payment Penalty
Calculates the late-payment penalty, the bill amount multiplied by the penalty percentage. In Brazil, utility and condominium bills usually have a 2% penalty on the overdue amount, plus interest. It is the first part of the cost of paying after the due date. Enter the bill amount and the penalty percentage.
Annual to Monthly Effective Rate Conversion
Converts an annual interest rate to the equivalent effective monthly one, extracting the twelfth root of the interest factor. Unlike a simple division by twelve, this calculation respects compound interest: the monthly rate that, accumulated over twelve months, reproduces exactly the annual one. Enter the annual interest rate as a percentage.
Diagonal of a Rectangle
Calculates the diagonal of a rectangle, the square root of the sum of the squares of the base and height — the Pythagorean theorem applied to the rectangle. The diagonal divides the rectangle into two equal right triangles and is the greatest distance between two corners. It appears in screens, land plots, and furniture. Enter the base and the height.
Apothem of a Regular Hexagon
Calculates the apothem of a regular hexagon, the distance from the center to the middle of a side, equal to the side times the square root of three over two. The apothem is the height of each of the six equilateral triangles that form the hexagon and is used to calculate its area. It appears in honeycombs, bolts, and tiles. Enter the side length.
Centripetal Acceleration (a = ω²·r)
Calculates the centripetal acceleration of a body in circular motion from the angular velocity, the square of the angular velocity times the radius. It is the acceleration that always points to the center and keeps the body on the curve, without changing its speed. It appears in rotors, satellites, and anything that spins. Enter the angular velocity and the radius.
Sound Wave Intensity (I = P/A)
Calculates the intensity of a sound wave, the sound power divided by the area it crosses. It is the physical measure of how strong the sound is at each point, in watts per square meter — the basis for calculating decibels. The farther from the source, the more the same power spreads and the lower the intensity. Enter the sound power and the area.
ppm to Percentage Conversion
Converts a concentration from parts per million to percentage, dividing by ten thousand, since one percent equals ten thousand ppm. It is the conversion between the trace scale, used for impurities and pollutants, and the everyday percentage scale. 25,000 ppm is only 2.5%. Enter the concentration in ppm.
Infusion Rate in Units per Hour
Calculates the infusion rate of a medication in units per hour, multiplying the solution concentration in units per milliliter by the pump speed in milliliters per hour. It is the nursing calculation for drugs dosed in units, like heparin, ensuring the right dose per hour. Enter the concentration and the infusion speed.
Plasma Oncotic Pressure (Landis-Pappenheimer)
Estimates the plasma oncotic pressure by the Landis-Pappenheimer equation, from the blood's total protein. It is the pressure that proteins, especially albumin, exert to retain water inside the vessels — when it falls, fluid leaks into the tissues and edema appears. Important in malnutrition, liver, and kidney disease. Enter the total protein in g/dL.
Urea/Creatinine Ratio
Calculates the ratio between blood urea and creatinine, dividing one by the other, an index that helps locate the origin of a kidney alteration. A high ratio suggests a pre-renal cause, like dehydration; a normal ratio with high creatinine points to the kidney itself. It is a quick read of the renal function test. Enter the urea and creatinine in mg/dL.
Hourly to Monthly Salary Conversion
Converts an hourly wage into a monthly salary, multiplying the hourly value by the monthly hours worked. Under Brazilian labor law, the standard 44-hour week equals 220 hours per month. It is the calculation for freelancers and hourly workers to compare their pay with a fixed salary. Enter the hourly value and the monthly hours.
Volume of a Cube
Calculates the volume of a cube, the edge raised to the cube, that is, multiplied by itself three times. Since all the edges of a cube are equal, a single measurement suffices to find how much space it occupies. It appears in boxes, dice, blocks, and any cubic object. Enter the edge length.
Degrees to Gradians Conversion
Converts an angle from degrees to gradians, the centesimal unit in which a full turn has 400 gradians and the right angle exactly 100. You multiply by ten and divide by nine. The gradian is used in surveying and some scientific calculators, dividing the circle decimally. Enter the angle in degrees.
Centripetal Force (F = m·ω²·r)
Calculates the centripetal force on a body in circular motion from the angular velocity, mass times the square of the angular velocity times the radius. It is the force that points to the center and keeps the body on the curve — the pull of a sling's string, or the friction that holds a car on a roundabout. Enter the mass, the angular velocity, and the radius.
Linear Velocity from Angular (v = ω·r)
Calculates the linear velocity of a rotating point from the angular velocity, simply multiplying the angular velocity by the radius. The farther from the axis, the faster the point moves — the tip of a propeller travels faster than its base, even spinning together. Enter the angular velocity and the radius.
Percentage to ppm Conversion
Converts a concentration in percentage to parts per million, multiplying by ten thousand, since one percent equals ten thousand ppm. It is the inverse of the ppm-to-percentage conversion, used to express small concentrations on the trace scale, common in environmental and purity analyses. Enter the concentration as a percentage.
mcg/h to mg/day Conversion
Converts a continuous dose from micrograms per hour to milligrams per day, multiplying by twenty-four and dividing by a thousand. It is the calculation to find the daily total of drugs released gradually, like transdermal patches of fentanyl and nicotine. Enter the rate in mcg/h.
Total Body Water (Watson, men)
Estimates total body water by the Watson formula for men, from age, height, and weight. Water is the body's main component, and its estimate guides dose calculations, dialysis, and hydration assessment. Muscle mass retains more water than fat. Enter the age, the height in centimeters, and the weight in kilograms.
Lean Body Mass (James, men)
Estimates lean body mass by the James formula for men, from weight and height. Lean mass is everything that is not fat — muscles, bones, organs, and water — and serves as the basis for dosing anesthetics and other drugs that don't distribute into fat. Enter the weight in kilograms and the height in centimeters.
Body Surface Area (Du Bois)
Calculates body surface area by the Du Bois formula, the most classic and used since 1916, from weight and height. The body's surface area is the basis for dosing chemotherapy, calculating the cardiac index, and adjusting fluids. Along with Mosteller and Haycock, it is one of the reference estimates. Enter the weight in kilograms and the height in centimeters.
Monthly to Hourly Salary Conversion
Converts a monthly salary into an hourly value, dividing the salary by the monthly hours worked. It is the inverse of the hour-to-month calculation: it reveals how much each worked hour is worth for someone on a fixed salary. Under Brazilian labor law, the 44-hour week equals 220 monthly hours. Enter the monthly salary and the monthly hours.
Gradians to Degrees Conversion
Converts an angle from gradians to degrees, multiplying by nine and dividing by ten. It is the inverse of the degrees-to-gradians conversion, bringing surveying's centesimal unit back to the everyday sexagesimal scale. 100 gradians equal 90 degrees, the right angle. Enter the angle in gradians.
Radians to Degrees Conversion
Converts an angle from radians to degrees, multiplying by 180 and dividing by π. The radian is the natural unit of mathematics and physics — a full turn has 2π radians — but degrees dominate everyday use. One radian equals about 57.3 degrees. Enter the angle in radians.
Average Angular Acceleration
Calculates the average angular acceleration, the change in angular velocity divided by time. It measures how fast a rotating body gains or loses spin — it is the rotational version of ordinary acceleration. It appears when a motor starts, a top slows down, or a hard drive reaches speed. Enter the change in angular velocity and the time interval.
Angular Displacement (Uniform Circular Motion)
Calculates the angular displacement of a body in uniform circular motion, the angular velocity times the time. It is the total angle swept, in radians, by something spinning at a constant rate — how many turns and fractions of a turn were covered. It is the rotational analog of straight-line displacement. Enter the angular velocity and the time.
pOH from pH
Calculates the pOH from the pH, subtracting the pH from 14, at 25 °C. Since water's ionic product links the two scales, pH and pOH always add up to 14 in aqueous solution at room temperature. Knowing one gives the other instantly — a pH 3 solution, quite acidic, has pOH 11. Enter the solution's pH.
mg/day to mcg/h Conversion
Converts a daily dose from milligrams per day to micrograms per hour, multiplying by a thousand and dividing by twenty-four. It is the inverse of the mcg/h-to-mg/day conversion, useful to program transdermal patches and continuous infusions from the total daily dose. Enter the dose in mg/day.
Total Body Water (Watson, women)
Estimates total body water by the Watson formula for women, from height and weight. The female body composition, with more fat and less lean mass, retains proportionally less water than the male one — which is why the formula differs. It is the basis for dosing drugs and assessing hydration. Enter the height in centimeters and the weight in kilograms.
Lean Body Mass (James, women)
Estimates lean body mass by the James formula for women, from weight and height. Lean mass gathers muscles, bones, and organs, without fat, and serves to adjust doses of medications that don't distribute into adipose tissue. The female coefficients differ from the male ones. Enter the weight in kilograms and the height in centimeters.
Blood Volume (Nadler, men)
Estimates total blood volume by the Nadler formula for men, from height and weight. Knowing how much blood circulates in the body is essential in surgeries, donations, and calculating losses — an adult man has about five liters. The formula combines the cube of the height with the weight. Enter the height in meters and the weight in kilograms.
Annual to Daily Effective Rate Conversion
Converts an annual interest rate to the equivalent effective daily one, extracting the 360th root of the interest factor, considering the commercial year. Unlike the nominal rate, which simply divides by 360, the effective one respects compound interest: it is the daily rate that, accumulated over the year, reproduces exactly the annual one. Enter the annual interest rate as a percentage.
Present Value with Discount Factor
Calculates the present value of a future amount, dividing it by the interest factor raised to the number of periods. It is how much money to be received later is worth today — always less, because time charges interest. It is the basis of investment analysis and bond discounting. Enter the future value, the rate per period, and the number of periods.
Radians to Gradians Conversion
Converts an angle from radians to gradians, multiplying by 200 and dividing by π. It links the natural unit of mathematics to the centesimal unit of surveying, in which a full turn has 400 gradians — half a turn, π radians, is 200 gradians. Enter the angle in radians.
Total Surface Area of a Cuboid
Calculates the total surface area of a cuboid, twice the sum of the products of the sides taken two at a time. It is the six rectangular faces added up, equal in pairs. It is the calculation of how much paper wraps a box or how much paint covers a block. Enter the length, the width, and the height.
Frequency from Period
Calculates the frequency of a rotation or oscillation from the period, simply its inverse. If one turn takes the period in seconds, the frequency tells how many turns happen per second. It is the inverse of the calculation that gets the period from the frequency. A period of 0.02 second corresponds to 50 hertz. Enter the period in seconds.
Final Angular Velocity (Angular Uniform Acceleration)
Calculates the final angular velocity of a body in uniformly accelerated rotation, the initial angular velocity plus the angular acceleration times the time. It is the rotational analog of the velocity equation in uniformly accelerated linear motion — it describes how a disk or wheel gains spin as it accelerates. Enter the initial angular velocity, the angular acceleration, and the time.
Hydrogen Ion Concentration from pH
Calculates the hydrogen ion concentration from the pH, raising ten to the power of minus pH. It is the inverse of the pH definition: while pH compresses the concentration into an easy-to-read logarithmic scale, this formula returns the real value in moles per liter. A pH of 3 corresponds to 0.001 mol/L of H⁺. Enter the solution's pH.
Infusion Rate (mcg/kg/min to mL/h)
Calculates the infusion rate in milliliters per hour from a dose in micrograms per kilogram per minute, taking into account the patient's weight and the solution concentration. It is the essential ICU calculation to program the pump of a weight-based vasoactive drug. Enter the dose, the weight, and the solution concentration.
Lean Body Mass (Hume, men)
Estimates lean body mass by the Hume formula for men, from weight and height. Along with the James and Boer formulas, it is one of the classic equations to estimate the fat-free part of the body, used to adjust drug doses and assess body composition. Enter the weight in kilograms and the height in centimeters.
Lean Body Mass (Boer, men)
Estimates lean body mass by the Boer formula for men, from weight and height. It is one of the most-used equations in pharmacology to calculate doses based on lean mass, considered more accurate than estimates from total weight alone. Enter the weight in kilograms and the height in centimeters.
Annual to Quarterly Nominal Rate Conversion
Converts an annual interest rate to the nominal quarterly one, dividing by four, since a year has four quarters. It is the linear form, in which the annual rate is split equally among the quarters, with no compound interest. Useful for contracts and investments with quarterly payments. Enter the annual interest rate as a percentage.
Quarterly to Monthly Nominal Rate Conversion
Converts a quarterly interest rate to the nominal monthly one, dividing by three, the three months of the quarter. It is the linear split of the rate, without compound interest — different from the equivalent rate, which would be slightly lower. Enter the quarterly interest rate as a percentage.
Gradians to Radians Conversion
Converts an angle from gradians to radians, multiplying by π and dividing by 200. It is the inverse of the radians-to-gradians conversion, linking surveying's centesimal unit to mathematics' natural unit. 100 gradians, the right angle, equal π/2 radians. Enter the angle in gradians.
Lateral Area of a Cylinder
Calculates the lateral area of a cylinder, 2 × π × radius × height, which is the curved surface without the two circular caps. It equals a can's label unrolled into a rectangle of base equal to the perimeter and height equal to the cylinder's. It appears in cans, pipes, and tanks. Enter the base radius and the height.
Lateral Area of a Cone
Calculates the lateral area of a cone, π × radius × slant height, the curved surface from the base to the tip, without the base circle. The slant height is the inclined distance from the edge to the apex. It is the calculation of how much material covers the conical part of hats, funnels, and roofs. Enter the base radius and the slant height.
Final Angular Position (Angular Uniform Acceleration)
Calculates the final angular position of a body in uniformly accelerated rotation, adding to the initial position the velocity-times-time term and half the acceleration times time squared. It is the rotational version of the position function in uniformly accelerated linear motion, telling where the body will be in its spin after an interval. Enter the initial angular position and velocity, the angular acceleration, and the time.
Hydroxide Ion Concentration from pOH
Calculates the hydroxide ion concentration from the pOH, raising ten to the power of minus pOH. It is the inverse of the pOH definition and the analog, for the basic medium, of hydrogen concentration from pH. A pOH of 4 corresponds to 0.0001 mol/L of OH⁻. Enter the solution's pOH.
Infusion Rate (mL/h to mcg/kg/min)
Calculates the dose in micrograms per kilogram per minute from the infusion rate in milliliters per hour, considering the patient's weight and the solution concentration. It is the inverse of the calculation that programs the pump: it serves to check which dose the patient is actually receiving. Enter the rate, the concentration, and the weight.
Ideal Weight (Broca Index)
Estimates the ideal weight by the Broca index, the simplest and oldest form: the height in centimeters minus 100. Created in the 19th century, it is a rule of thumb still used as a quick reference, though it tends to overestimate in tall people. Enter the height in centimeters.
Ideal Weight (Lorentz Formula, men)
Estimates the ideal weight by the Lorentz formula for men, which refines the Broca index by subtracting a quarter of the height above 1.50 m. This adjustment corrects the tendency to overestimate the weight of tall people, giving a more realistic value. Enter the height in centimeters.
Annual to Semiannual Nominal Rate Conversion
Converts an annual interest rate to the nominal semiannual one, dividing by two, the two semesters of the year. It is the linear split of the rate, with no compound interest — the form used when a contract states the annual rate but applies it each semester. Enter the annual interest rate as a percentage.
Volume of a Pyramid Frustum
Calculates the volume of the frustum of a pyramid, one third of the height times the sum of the two base areas plus the square root of their product. The frustum is what remains when the top of a pyramid is cut by a plane parallel to the base. It appears in funnels, lampshades, and architectural structures. Enter the larger base area, the smaller base area, and the height.
Volume of a Torus
Calculates the volume of a torus, the doughnut-shaped solid generated by rotating a circle around an axis, two pi squared times the major radius times the tube radius squared. It appears in inner tubes, rings, magnets, and reactor geometry. Enter the major radius (from center to tube) and the tube radius.
Angular Torricelli Equation
Calculates the final angular velocity by the angular Torricelli equation, the square root of the sum of the initial velocity squared with twice the angular acceleration times the angular displacement. It is the rotational analog of the Torricelli equation, useful when time is unknown — it relates velocity, acceleration, and angle turned directly. Enter the initial angular velocity, the angular acceleration, and the angular displacement.
Electronvolt to Joule Conversion
Converts an energy from electronvolts to joules, multiplying by the elementary charge, about 1.602 × 10⁻¹⁹. The electronvolt is the natural unit of particle physics and quantum chemistry, tiny in joules. It appears in energy levels, photons, and chemical bonds. Enter the energy in electronvolts.
Joule to Electronvolt Conversion
Converts an energy from joules to electronvolts, dividing by the elementary charge, about 1.602 × 10⁻¹⁹. It is the inverse conversion, used to express energies on the convenient scale of atomic and molecular physics. One joule equals more than six quintillion electronvolts. Enter the energy in joules.
mL/h to drops/min Conversion
Converts an infusion flow from milliliters per hour to drops per minute, multiplying by the IV set's drops per milliliter and dividing by sixty. It is the inverse of the drops-to-mL/h calculation, used when a pump isn't available and the drip is adjusted by eye. Enter the flow in mL/h and the drops per milliliter.
Body Surface Area (Gehan-George)
Calculates the body surface area by the Gehan-George formula, from weight and height. Developed in 1970 with data from hundreds of direct measurements, it is one of the most accurate estimates and is used in oncology to dose chemotherapy. Enter the weight in kilograms and the height in centimeters.
Body Surface Area (Fujimoto)
Calculates the body surface area by the Fujimoto formula, developed from measurements in a Japanese population. It is preferred in studies with Asian people, in whom Western formulas like Du Bois's may overestimate the area. Enter the weight in kilograms and the height in centimeters.
kcal to kJ Conversion
Converts energy from kilocalories to kilojoules, multiplying by 4.184. The kilocalorie is the "calorie" on food labels, while the kilojoule is the official International System unit — many countries show both on packaging. 100 kcal equals 418.4 kJ. Enter the energy in kilocalories.
Semiannual to Annual Nominal Rate Conversion
Converts a semiannual interest rate to the nominal annual one, multiplying by two. It is the inverse of splitting the annual rate among semesters: it linearly adds the two semesters' rates, with no compound interest. The resulting nominal rate is higher than the compound equivalent. Enter the semiannual interest rate as a percentage.
Quarterly to Annual Nominal Rate Conversion
Converts a quarterly interest rate to the nominal annual one, multiplying by four, the four quarters of the year. It is the linear sum of the rates, without compound interest. Useful to simply annualize a rate charged each quarter. Enter the quarterly interest rate as a percentage.
Circular Arc Length
Calculates the length of a circular arc, the radius multiplied by the central angle in radians. It is the fraction of the circle's perimeter corresponding to the open angle — an arc of radius 5 and angle 2 radians measures 10. It appears in gears, track curves, and circular paths. Enter the radius and the central angle in radians.
Angular Impulse (J = τ·Δt)
Calculates the angular impulse, the applied torque multiplied by the time interval. By the angular impulse-momentum theorem, it equals the change in the body's angular momentum — it is what makes a flywheel gain or lose rotation. It is the rotational analog of linear impulse. Enter the torque and the time interval.
Calorie to Kilocalorie Conversion
Converts energy from calories to kilocalories, dividing by a thousand, since each kilocalorie has a thousand calories. It is the conversion of the small unit, used in physical chemistry, to the large unit of food labels — the "calorie" counted in a diet is actually a kilocalorie. Enter the energy in calories.
kWh to Joule Conversion
Converts energy from kilowatt-hour to joules, multiplying by 3.6 million, since one kWh is the energy of a thousand watts for one hour. The kWh is the unit on the electricity bill; the joule, the International System's. A single kWh equals 3.6 million joules. Enter the energy in kWh.
Joule to kWh Conversion
Converts energy from joules to kilowatt-hour, dividing by 3.6 million. It is the inverse conversion, used to translate an energy in joules into the practical unit of the electricity bill. To reach one kWh, 3.6 million joules are needed. Enter the energy in joules.
Milliliters to Microdrops Conversion
Converts a volume from milliliters to microdrops, multiplying by sixty, since each milliliter equals sixty microdrops in microdrip IV sets. It is the conversion used in pediatrics and in infusions that require fine volume control. Enter the volume in milliliters.
Body Surface Area (Takahira)
Calculates the body surface area by the Takahira formula, an adaptation of the Du Bois formula developed for the Japanese population, with a slightly larger constant. It is used in Asian studies to dose medications and assess area-indexed parameters. Enter the weight in kilograms and the height in centimeters.
Body Surface Area (Schlich, men)
Calculates the body surface area by the Schlich formula for men, published in 2010 from magnetic resonance measurements. Unlike the classic formulas, it gives more weight to height, with sex-specific exponents. Enter the weight in kilograms and the height in centimeters.
Monthly to Quarterly Nominal Rate Conversion
Converts a monthly interest rate to the nominal quarterly one, multiplying by three, the three months of the quarter. It is the linear sum of the monthly rates, with no compound interest. Useful to express a monthly rate on a quarterly basis. Enter the monthly interest rate as a percentage.
Principal in Simple Interest
Calculates the initial principal that generated a given simple interest, dividing the interest by the rate and the time. It is the inverse of the interest calculation: from the yield, the rate, and the term, it finds how much was invested at the start. Enter the interest earned, the rate per period, and the time.
Slope from Angle of Inclination
Calculates the slope of a line from its angle of inclination, the tangent of that angle. The slope measures the line's steepness — how much it rises or falls per horizontal step. A line at 45° has slope 1; at 0°, slope zero. Enter the angle of inclination in degrees.
Volume of a Triangular Prism
Calculates the volume of a prism with a triangular base, the area of the base triangle times the length of the prism. The base area is half the product of the triangle's base and height. It appears in roofs, ramps, and parts with a triangular cross-section. Enter the base and height of the triangle and the length of the prism.
Rotational Work (W = τ·θ)
Calculates the work done by a torque in a rotation, the torque multiplied by the angle turned in radians. It is the rotational analog of the work of a force — how much energy a motor delivers by turning a shaft through a certain angle. Enter the torque and the angle in radians.
Rotational Power (P = τ·ω)
Calculates the rotational power, the torque multiplied by the angular velocity. It is the rotational form of power, equivalent to force times velocity in linear motion — it tells how much energy per second a motor delivers to its shaft. It is the basis of the relationship between torque, rotation, and power in motors. Enter the torque and the angular velocity.
Calorie to Joule Conversion
Converts energy from calories to joules, multiplying by 4.184. The calorie is the energy to heat one gram of water by one degree Celsius; the joule is the International System unit. The conversion links classical thermochemistry to modern physics. Enter the energy in calories.
Microdrops to Milliliters Conversion
Converts a number of microdrops to milliliters, dividing by sixty, since each milliliter has sixty microdrops in microdrip IV sets. It is the inverse of the milliliters-to-microdrops conversion, useful to find what volume was infused from the microdrop count. Enter the number of microdrops.
Max Heart Rate (Londeree Formula)
Estimates the maximum heart rate by the Londeree and Moeschberger formula, 206.3 minus 0.711 times the age. Developed from a meta-analysis of several studies, it is considered more accurate than the classic "220 minus age" across a wide age range. Enter the age in years.
Max Heart Rate (Nes Formula)
Estimates the maximum heart rate by the Nes formula, 211 minus 0.64 times the age. Validated in a large Norwegian study with more than three thousand people, it is one of the most-used modern estimates for defining training zones. Enter the age in years.
Simple Interest Rate
Calculates the simple interest rate from the interest earned, the principal, and the time, dividing the interest by the product of principal and time and multiplying by a hundred. It is the inverse of the interest calculation: it finds which rate was applied when you know how much it yielded. Enter the interest, the principal, and the time.
Ratio Between Two Numbers
Calculates the ratio between two numbers, dividing the first by the second. The ratio expresses how many times one value fits into the other — the basis of proportions, scales, and rates. A ratio of 15 to 5 is 3, meaning the first is triple the second. Enter the two numbers.
Distance on the Number Line
Calculates the distance between two points on the number line, the absolute value of their difference. Being an absolute value, the distance is always positive, no matter the order of the numbers — from 3 to −5 is 8 units. It is the concept underlying absolute value and inequalities. Enter the two points.
Acceleration by Newton's Second Law (a = F/m)
Calculates the acceleration of a body by Newton's second law, the net force divided by the mass. It is the most direct form of the fundamental law of dynamics: the same force accelerates a heavier body less. A force of 100 N on 20 kg generates 5 m/s². Enter the net force and the mass.
Energy Dissipated in a Resistor (Joule Effect)
Calculates the energy dissipated by a resistor through the Joule effect, resistance times the square of the current times the time. It is the heat generated when current crosses the resistance — the principle of the electric shower, the iron, and the incandescent bulb. Enter the resistance, the current, and the time.
Joule to Calorie Conversion
Converts energy from joules to calories, dividing by 4.184. It is the inverse of the calorie-to-joule conversion, bringing the International System unit back to the calorie of thermochemistry and nutrition. 418.4 joules equals 100 calories. Enter the energy in joules.
kJ to kcal Conversion
Converts energy from kilojoules to kilocalories, dividing by 4.184. It is the inverse of the kilocalorie-to-kilojoule conversion, useful to read food labels that show energy in kJ and convert it to the everyday "calories". 418.4 kJ equals 100 kcal. Enter the energy in kilojoules.
Dose in Milligrams per Drop
Calculates how many milligrams of drug are in each drop, dividing the solution concentration in mg/mL by the number of drops per milliliter of the dropper. It is the calculation that allows prescribing and checking doses dripped drop by drop. In a 20-drops/mL set with a 20 mg/mL solution, each drop has 1 mg. Enter the concentration and the drops per milliliter.
Volume Infused by Drip
Calculates the volume infused by drip, the drops per minute times the time in minutes, divided by the IV set's drops per milliliter. It is the calculation to find how much saline entered the patient over a period, from the observed drip rate. Enter the drops per minute, the time in minutes, and the drops per milliliter.
Max Heart Rate (Åstrand Formula)
Estimates the maximum heart rate by the Åstrand formula, 216.6 minus 0.84 times the age. Derived from classic exercise physiology studies, it is one of the alternatives to the "220 minus age" formula, with a good fit in active adults. Enter the age in years.
mol/L to mmol/L Conversion
Converts a concentration from moles per liter to millimoles per liter, multiplying by a thousand. It is the conversion between standard molarity and the smaller scale used in laboratory tests and biochemistry, where concentrations are usually small. Enter the concentration in mol/L.
mEq to mg Conversion
Converts an amount from milliequivalents to milligrams of an electrolyte, multiplying by the molar mass and dividing by the valence. It is the essential calculation to prepare and adjust replacements of sodium, potassium, and calcium, prescribed in mEq but measured in mg. Enter the mEq, the molar mass, and the ion's valence.
mg to mEq Conversion
Converts an amount from milligrams to milliequivalents of an electrolyte, multiplying by the valence and dividing by the molar mass. It is the inverse conversion, used to express a dose weighed in mg as mEq — fundamental in fluid and electrolyte balance. Enter the mg, the molar mass, and the ion's valence.
First Installment in SAC
Calculates the first installment of a loan under the Constant Amortization System (SAC), the fixed amortization plus the interest on the total balance. In SAC, the amortization is the financed amount divided by the number of installments, and the payments start higher and decrease over time. Enter the financed amount, the number of installments, and the interest rate.
Commission on Profit
Calculates the commission on profit, the profit multiplied by the commission percentage. It is the way to compensate salespeople and partners by performance, tying the gain to the result rather than gross revenue. Enter the profit and the commission percentage.
General Term of the Newton Binomial
Calculates any term of the expansion of a Newton binomial, the binomial coefficient times the first base raised to n minus k, times the second base raised to k. It is the formula that gives a specific term of (a + b)^n without expanding everything. Enter the exponent n, the position k, and the two bases a and b.
Quadrilateral Area from Diagonals
Calculates the area of a quadrilateral with perpendicular diagonals — such as the rhombus, the kite, and the square — half the product of the two diagonals. It is an elegant formula that doesn't require measuring sides or angles. Enter the lengths of the two diagonals.
Speed of Light in a Medium (v = c/n)
Calculates the speed of light inside a material medium, the speed of light in vacuum divided by the medium's refractive index. Light always travels slower outside a vacuum — in water or glass, it loses speed, which causes refraction. In glass with index 1.5, light drops to about 200,000 km/s. Enter the medium's refractive index.
Distance in Uniform Motion (d = v·t)
Calculates the distance traveled in uniform rectilinear motion, the constant velocity multiplied by the time. It is the most basic formula of kinematics: with no acceleration, the distance grows proportionally to time. Enter the velocity and the time.
Body Adiposity Index (BAI)
Calculates the body adiposity index (BAI), the hip circumference divided by height raised to 1.5, minus 18. It estimates the body fat percentage without needing weight, unlike BMI, using only hip and height. Enter the hip circumference in centimeters and the height in meters.
SAC Outstanding Balance
Calculates the outstanding balance of a SAC loan after a number of installments paid. Since the amortization is constant, the balance falls linearly: each installment always pays down the same amount of principal. Enter the financed amount, the total number of installments, and how many have been paid.
SAC Total Interest
Calculates the total interest paid on a SAC loan over the whole term. Since the outstanding balance falls each installment, the interest also decreases, and the sum forms an arithmetic progression. The total equals the rate times the financed amount times (installments + 1) over two. Enter the financed amount, the number of installments, and the interest rate.
Polygon Sides from Interior Angle Sum
Calculates the number of sides of a polygon from the sum of its interior angles, dividing the sum by 180 and adding 2. It is the inverse of the formula that gives the angle sum, (n − 2) × 180. A sum of 540° corresponds to a pentagon. Enter the sum of the interior angles in degrees.
Weight Component on an Inclined Plane
Calculates the weight component parallel to an inclined plane, mass times gravity times the sine of the incline angle. It is the portion of the weight that pulls the body down the slope — the steeper the plane, the larger this force. Enter the mass and the incline angle in degrees.
Normal Force on an Inclined Plane
Calculates the normal force on a body on an inclined plane, mass times gravity times the cosine of the angle. It is the force with which the plane pushes the body perpendicular to the surface — it decreases as the plane gets steeper. It also determines the maximum possible friction. Enter the mass and the incline angle in degrees.
Acceleration on a Frictionless Incline
Calculates the acceleration of a body sliding down a frictionless inclined plane, gravity times the sine of the angle. Curiously, it doesn't depend on the mass — all bodies slide down with the same acceleration, as Galileo demonstrated. At 30°, the acceleration is half of gravity. Enter the incline angle in degrees.
mmol/L to mol/L Conversion
Converts a concentration from millimoles per liter to moles per liter, dividing by a thousand. It is the inverse of the mol/L-to-mmol/L conversion, bringing the laboratory-test scale back to standard chemistry molarity. Enter the concentration in mmol/L.
mEq to mmol Conversion
Converts milliequivalents to millimoles of an ion, dividing by the valence. For monovalent ions like sodium, the two values coincide; for divalent ones like calcium, 1 mmol equals 2 mEq. It is essential in interpreting electrolytes. Enter the mEq and the ion's valence.
mmol to mEq Conversion
Converts millimoles to milliequivalents of an ion, multiplying by the valence. It is the inverse conversion, which accounts for how many charges each ion carries — a divalent cation like calcium provides twice the equivalents per mole. Enter the mmol and the ion's valence.
Body Density (Jackson-Pollock, 3-fold, men)
Estimates body density by the Jackson-Pollock three-skinfold equation for men, from the sum of the skinfolds and the age. It is the basis for calculating body fat percentage by skinfold measurement — the resulting density feeds the Siri equation. Enter the sum of the three skinfolds in millimeters and the age in years.
First Amortization in the Price Table
Calculates the first amortization of a loan under the Price Table, the fixed installment minus the first month's interest. Unlike SAC, in the Price system the installment is constant and the amortization starts small and grows each month, while interest falls. Enter the financed amount, the number of installments, and the interest rate.
Friction Force on an Inclined Plane
Calculates the friction force on a body on an inclined plane, the friction coefficient times the normal force, which is mass times gravity times the cosine of the angle. It is the force that opposes sliding down the slope. Enter the friction coefficient, the mass, and the incline angle.
Acceleration on an Inclined Plane with Friction
Calculates the acceleration of a body going down an inclined plane with friction, gravity times the difference between the sine of the angle and the friction coefficient times the cosine. If friction overcomes the weight component, the body doesn't even move. Enter the incline angle and the friction coefficient.
Sum of the Roots of a Quadratic Equation
Calculates the sum of the roots of a quadratic equation by Girard's relations, minus b over a, without solving the equation. Together with the product of the roots, it lets you find or check the solutions directly from the coefficients. Enter the coefficients a and b.
Product of the Roots of a Quadratic Equation
Calculates the product of the roots of a quadratic equation by Girard's relations, c over a. It is the other Girard relation, which together with the sum of the roots summarizes all the information about the solutions in the coefficients. Enter the coefficients a and c.
Volume of a Regular Hexagonal Prism
Calculates the volume of a regular hexagonal prism, the area of the base hexagon — three square roots of three over two times the side squared — multiplied by the height. It appears in nuts, pencils, honeycombs, and decorative pillars. Enter the hexagon side and the prism height.
ppm to mg/m³ Conversion (air, 25 °C)
Converts a gas concentration in air from parts per million to milligrams per cubic meter, multiplying by the molar mass and dividing by the molar volume at 25 °C, 24.45 liters. It is the conversion used in occupational hygiene and air quality, linking the volumetric measure to the mass one. Enter the concentration in ppm and the gas's molar mass.
mg to IU Conversion (Natural Vitamin E)
Converts a dose of natural vitamin E from milligrams to international units, multiplying by 1.49 — the factor for natural alpha-tocopherol (RRR). It is the conversion between how the vitamin is weighed and how it is prescribed in supplements. For the synthetic form the factor differs. Enter the amount in milligrams.
Body Density (Jackson-Pollock, 3-fold, women)
Estimates body density by the Jackson-Pollock-Ward three-skinfold equation for women, from the sum of the skinfolds and the age. It is the female version of the formula, with its own coefficients; the resulting density feeds the Siri equation for body fat percentage. Enter the sum of the three skinfolds in millimeters and the age in years.
Body Fat Mass
Calculates the body fat mass, the weight multiplied by the fat percentage divided by a hundred. It converts the fat percentage, given by bioimpedance or skinfold measurement, into concrete kilos of adipose tissue — useful for tracking progress in diets and training. Enter the weight and the fat percentage.
Financing Coefficient
Calculates the financing coefficient, interest rate divided by one minus the discount factor, in the Price Table. Multiplied by the financed amount, it directly gives the fixed installment value — which is why it appears in car and property financing tables. Enter the interest rate per period and the number of installments.
LCM from the GCD Relationship
Calculates the least common multiple of two numbers using its relationship with the greatest common divisor: the product of the two numbers divided by the GCD. It is an elegant shortcut — knowing the GCD, the LCM comes from a single division, without factoring. Enter the two numbers and their GCD.
Arithmetic Mean of Three Numbers
Calculates the arithmetic mean of three numbers, the sum divided by three. It is the simplest and most everyday average — grades, prices, measurements. Each value weighs equally in the result. Enter the three numbers.
SHM Velocity at a Given Displacement
Calculates the velocity of a body in simple harmonic motion as a function of displacement, the angular velocity times the square root of the difference between the amplitude squared and the position squared. The velocity is maximum at the center and zero at the extremes. Enter the angular velocity, the amplitude, and the displacement.
SHM Acceleration at a Given Displacement
Calculates the acceleration of a body in simple harmonic motion as a function of displacement, the square of the angular velocity times the position. Unlike velocity, the acceleration is maximum at the extremes and zero at the center, always pointing back to equilibrium. Enter the angular velocity and the displacement.
SHM Kinetic Energy at a Given Displacement
Calculates the kinetic energy of a harmonic oscillator as a function of displacement, half the spring constant times the difference between the amplitude squared and the position squared. It is the energy that migrates to potential as the body moves away from the center. Enter the spring constant, the amplitude, and the displacement.
Heat of Dissolution
Calculates the heat involved in dissolving a substance, the number of moles times the enthalpy of dissolution. When positive, dissolving absorbs heat and cools the solution, like the ammonium nitrate in cold packs; when negative, it releases heat. Enter the number of moles and the enthalpy of dissolution in kJ/mol.
Total Number of Drops in a Bottle
Calculates the total number of drops in a bottle, the volume in milliliters multiplied by the dropper's drops per milliliter. It helps estimate how many doses a bottle yields and how long it will last. A 20 mL bottle with a 20-drops/mL dropper has 400 drops. Enter the volume and the drops per milliliter.
Body Fat Percentage (Brozek Equation)
Calculates the body fat percentage by the Brozek equation, from body density. It is an alternative to the Siri equation, considered more accurate in people with very high or very low body fat. The density comes from skinfold measurement or hydrostatic weighing. Enter the body density in g/cm³.
Body Surface Area (Costeff Formula)
Calculates the body surface area by the Costeff formula, which uses only the weight: four times the weight plus seven, divided by the weight plus ninety. By not requiring height, it is practical in pediatrics and quick screening situations. Enter the weight in kilograms.
Number of Periods in Compound Interest
Calculates how many periods a principal takes to reach a target amount under compound interest, the logarithm of the ratio between amount and principal divided by the logarithm of one plus the rate. It answers "how long until my money doubles?" exactly. Enter the principal, the target amount, and the rate per period.
Centripetal Acceleration from the Period
Calculates the centripetal acceleration of a body in uniform circular motion from the period, four pi squared times the radius divided by the period squared. It is the form used when you know the time of one revolution instead of the speed. Enter the radius and the period.
Molarity of a Concentrated Solution
Calculates the molarity of a concentrated solution from density, purity, and molar mass, ten times the density times the purity, divided by the molar mass. It is the calculation that gives the real concentration of commercial acids like sulfuric or hydrochloric, sold by density and content. Enter the density, the purity, and the molar mass.
Dose per Administration (mg/kg/day)
Calculates the dose of each administration from the daily dose per kilo, the weight times the dose per kilo per day, divided by the number of administrations. It is the everyday calculation of pediatric prescribing, splitting the daily dose across the administrations through the day. Enter the weight, the dose in mg/kg/day, and the number of administrations.
Spherical Cap Area
Calculates the surface area of a spherical cap, two pi times the sphere radius times the cap height. Curiously, it depends only on the height of the slice, not on where it is cut — a result of Archimedes' theorem. Enter the sphere radius and the cap height.
Distance Between Two Points in 3D Space
Calculates the distance between two points in three-dimensional space, the square root of the sum of the squares of the coordinate differences. It is the extension of the Pythagorean theorem to three dimensions, and also the magnitude of the vector linking the two points. Enter the x, y, and z coordinates of the two points.
Parallelogram Area from Two Vectors
Calculates the area of the parallelogram defined by two vectors in the plane, the magnitude of their cross product. It is also the determinant of the two-by-two matrix formed by the components — the basis of area calculation in analytic geometry. Enter the x and y components of the two vectors.
Estimated Plasma Volume
Calculates the plasma volume from the blood volume and the hematocrit, the blood volume times the fraction that is not cells. Since the hematocrit is the percentage of red blood cells, the remainder is the plasma. It is used in hemotherapy and plasma exchange calculations. Enter the blood volume and the hematocrit.
Blood Volume (Nadler, women)
Estimates the total blood volume of women by the Nadler formula, from height and weight. It is the female version of the equation, with its own coefficients, used in blood donation, hemodilution, and surgical blood-loss calculations. Enter the height in meters and the weight in kilograms.
Body Surface Area (Livingston-Lee, weight)
Estimates the body surface area by the Livingston and Lee formula, which uses only the weight raised to an exponent. Developed for adults, it does not require height and is practical when only the weight is available. Enter the weight in kilograms.
EBIT Margin
Calculates the EBIT margin, earnings before interest and taxes divided by net revenue, as a percentage. It shows how much is left from each unit sold after operating costs and expenses, before the effect of interest and taxes — a pure measure of operating efficiency. Enter the EBIT and the net revenue.
Spherical Wedge Volume
Calculates the volume of a spherical wedge, the slice of a sphere bounded by two half-disks meeting at the axis, two thirds of the cube of the radius times the opening angle in radians. It is the orange-slice of geometry. Enter the radius and the opening angle in radians.
Regular Tetrahedron Volume
Calculates the volume of a regular tetrahedron from its edge, the cube of the edge divided by six square roots of two. The tetrahedron is the simplest of the Platonic solids, with four equal triangular faces. Enter the edge length.
Regular Tetrahedron Surface Area
Calculates the total surface area of a regular tetrahedron, the square root of three times the edge squared — the sum of the four equilateral triangular faces. Enter the edge length.
Angular Momentum of Rotation (L = I·ω)
Calculates the angular momentum of a rotating body, the moment of inertia multiplied by the angular velocity. It is the rotational analog of linear momentum, and is conserved when there is no external torque — which explains the skater who spins faster by pulling in their arms. Enter the moment of inertia and the angular velocity.
Molar Solubility from Ksp (1:1 salt)
Calculates the molar solubility of a sparingly soluble 1:1 salt, such as silver chloride, from the solubility product — the square root of the Ksp. It is the maximum concentration of the salt that dissolves in water before it starts to precipitate. Enter the salt's Ksp.
Half-life from Two Concentrations
Calculates the elimination half-life of a drug from two measured concentrations and the time between them, assuming first-order kinetics. It is the way to estimate the half-life in practice, from two blood samples. Enter the first and second concentration and the time interval.
Number of Doses in a Period
Calculates the number of doses in a period, the total time divided by the interval between doses. It helps plan how much medicine a treatment needs — for example, one dose every 8 hours means 3 doses a day. Enter the total period and the interval between doses, in hours.
Expected PaCO₂ in Metabolic Acidosis (Winter)
Estimates the expected PaCO₂ in the respiratory compensation of a metabolic acidosis by Winter's formula, one point five times the bicarbonate plus eight. Comparing the measured PaCO₂ with the expected one reveals whether there is an associated respiratory disorder. Enter the serum bicarbonate.
Sodium Deficit
Calculates the sodium deficit in hyponatremia, the difference between the desired and current sodium multiplied by the total body water, estimated as sixty percent of the weight. It guides sodium replacement, which must be slow to avoid complications. Enter the current sodium, the desired sodium, and the weight.
Present Value of a Single Cash Flow
Calculates the present value of a single future payment, discounting it by the interest rate over the number of periods. It is the foundation of all financial mathematics: how much a future amount is worth today. Enter the future value, the rate per period, and the number of periods.
Electric Dipole Moment (p = q·d)
Calculates the electric dipole moment, the product of the charge and the distance separating it from the opposite charge. It measures the strength of a pair of equal and opposite charges — fundamental to understanding polar molecules and how materials behave in electric fields. Enter the charge and the distance.
Sound Level of N Equal Sources
Calculates the total sound level of several identical sources combined, the level of one source plus ten times the logarithm of the number of sources. Being a logarithmic scale, doubling the number of sources raises the noise by only three decibels, not double. Enter the level of one source and the number of sources.
Ionic Strength of a Solution
Calculates the ionic strength of a solution, half the sum of each ion's concentration multiplied by the square of its charge. The more charged the ions, the greater the ionic strength — which affects activity, solubility, and equilibrium. Enter the concentration and charge of each of the two ions.
Water Hardness in German Degrees (°dH)
Converts water hardness from milligrams per liter of calcium carbonate to German degrees, dividing by 17.848. The German degree (°dH) is the traditional European unit of hardness, used in aquariums, boilers, and water treatment. Enter the hardness in mg/L of CaCO₃.
Body Surface Area–Corrected Clearance
Calculates the clearance corrected to the standard body surface area of 1.73 m², multiplying the measured clearance by 1.73 and dividing by the patient's body surface area. It allows comparing renal function between people of different sizes. Enter the measured clearance and the body surface area.
Delta Ratio (Delta-Delta in Metabolic Acidosis)
Calculates the delta ratio, or delta-delta, in high anion gap metabolic acidosis, the ratio between the anion gap excess and the bicarbonate deficit. It helps identify mixed acid-base disorders: values outside the 1 to 2 range suggest a second associated disorder. Enter the anion gap and the bicarbonate.
Volume of a Spherical Segment with Two Bases
Calculates the volume of a spherical segment with two bases, the slice of a sphere between two parallel planes, by the formula combining the two base radii and the height. It appears in tanks, domes, and lenses. Enter the radii of the two bases and the segment height.
Regular Octahedron Surface Area
Calculates the total surface area of a regular octahedron, two times the square root of three times the edge squared — the sum of the eight equilateral triangular faces. The octahedron is the eight-faced Platonic solid. Enter the edge length.
Regular Dodecahedron Volume
Calculates the volume of a regular dodecahedron from its edge, by the formula involving the golden ratio through the square root of five. The dodecahedron is the twelve-pentagonal-faced Platonic solid. Enter the edge length.
Interest on Equity (JCP)
Calculates the interest on equity (JCP), a way of compensating shareholders treated as a deductible expense, applying the Long-Term Interest Rate to the shareholders' equity. Unlike dividends, JCP reduces the company's tax. Enter the equity and the rate.
Capital Gains Tax on Stocks
Calculates the income tax on capital gains from selling stocks, applying the rate to the profit obtained. In ordinary trades, the standard rate is 15%; in day trading, 20%. Enter the trade profit and the rate.
Capacitance of a Conducting Sphere
Calculates the capacitance of an isolated conducting sphere, four pi times the vacuum permittivity times the radius. It shows that larger spheres store more charge at the same voltage — the principle behind Van de Graaff generators. Enter the sphere radius.
Molarity to Molality Conversion
Converts a solution's concentration from molarity to molality, using the density and the solute's molar mass. While molarity is based on the solution volume, molality is based on the solvent mass, which makes it temperature-independent. Enter the molarity, the density, and the molar mass.
Insulin Correction Dose
Calculates the correction insulin dose needed to lower blood glucose to target, the difference between the current and desired glucose divided by the sensitivity factor. It is the correction bolus calculation used by those who count carbohydrates. Enter the current glucose, the target glucose, and the sensitivity factor.
Platelet-to-Lymphocyte Ratio (PLR)
Calculates the platelet-to-lymphocyte ratio (PLR), the platelet count divided by the lymphocyte count. It is an inflammatory marker obtained from the blood count, studied as a prognostic indicator in various diseases. Enter the platelet count and the lymphocyte count.
Regular Icosahedron Surface Area
Calculates the total surface area of a regular icosahedron, five times the square root of three times the edge squared — the sum of the twenty equilateral triangular faces. The icosahedron is the twenty-faced Platonic solid. Enter the edge length.
Regular Dodecahedron Surface Area
Calculates the total surface area of a regular dodecahedron, three times the square root of twenty-five plus ten square roots of five, times the edge squared — the sum of the twelve pentagonal faces. Enter the edge length.
Radius of the Sphere Circumscribed About a Cube
Calculates the radius of the sphere circumscribed about a cube, the one passing through all vertices, half the cube's space diagonal — the edge times the square root of three over two. Enter the cube's edge.
Square Bipyramid Volume
Calculates the volume of a square bipyramid, formed by two pyramids joined at the base. It is one third of the square of the base edge times the total height between the two apexes. It appears in crystals and in RPG dice. Enter the base edge and the total height.
Dividend Payback Period
Calculates in how many years a stock investment pays for itself from dividends alone, the share price divided by the annual dividend per share. It is the inverse of the dividend yield and helps compare dividend-paying stocks. Enter the share price and the annual dividend per share.
Net Profit from Margin
Calculates the net profit from revenue and net margin, the revenue multiplied by the margin divided by a hundred. It is the direct calculation to project a company's profit when the historical margin is known. Enter the revenue and the net margin.
Voltage Gain in Decibels
Calculates the voltage gain in decibels, twenty times the logarithm of the ratio between output and input voltage. It is the logarithmic way of expressing amplification or attenuation in circuits and audio — a 20 dB gain means ten times the voltage. Enter the output and input voltages.
Molality to Molarity Conversion
Converts a solution's concentration from molality to molarity, using the density and the solute's molar mass. It is the inverse conversion, going from the per-solvent-mass scale to the per-solution-volume scale. Enter the molality, the density, and the molar mass.
Insulin-to-Carb Ratio (500 Rule)
Calculates the insulin-to-carbohydrate ratio by the 500 rule, five hundred divided by the total daily insulin dose. It indicates how many grams of carbohydrate are covered by one unit of rapid insulin — the basis of carbohydrate counting in diabetes. Enter the total daily insulin dose.
Monocyte-to-Lymphocyte Ratio (MLR)
Calculates the monocyte-to-lymphocyte ratio (MLR), the number of monocytes divided by the lymphocyte count. It is an inflammatory marker from the blood count, studied as a prognostic indicator in infections and chronic diseases. Enter the monocyte count and the lymphocyte count.
Systemic Immune-Inflammation Index (SII)
Calculates the systemic immune-inflammation index (SII), the product of platelets and neutrophils divided by lymphocytes. It combines three blood-count series into a single inflammatory marker, used in prognostic studies of cancer and other diseases. Enter the platelet, neutrophil, and lymphocyte counts.
Square Bipyramid Surface Area
Calculates the total surface area of a square bipyramid, formed by eight equal triangular faces, from the base edge and the height of each pyramid. Enter the base edge and the height of one of the pyramids.
Volume of a Paraboloid of Revolution
Calculates the volume of a paraboloid of revolution, half the volume of the cylinder that contains it — half pi times the radius squared times the height. It is the shape of satellite dishes and of a rotating liquid's surface. Enter the base radius and the height.
Regular Pentagonal Prism Volume
Calculates the volume of a regular pentagonal prism, the area of the base pentagon multiplied by the prism height. The base area uses the regular pentagon formula, which involves the square root of five. Enter the base edge and the prism height.
Revenue Needed for a Target Profit
Calculates the revenue needed to reach a target profit, the sum of fixed costs and the desired profit divided by the contribution margin percentage. It is the sales target that covers expenses and still generates the planned result. Enter the fixed costs, the target profit, and the contribution margin.
Single Discount Equivalent to Two Successive
Calculates the single discount equivalent to two successive discounts, since applying 10% then 20% is not the same as 30%. The second discount applies to the already reduced amount, resulting in less than the sum. Enter the two discount percentages.
Lensmaker's Equation
Calculates the focal length of a lens by the lensmaker's equation, which relates the material's refractive index and the radii of curvature of the two faces. It is the formula manufacturers use to design lenses for glasses, cameras, and telescopes. Enter the refractive index and the radii of curvature.
Transverse Magnification (Mirror/Lens)
Calculates the transverse magnification of an image formed by a mirror or lens, the negative of the ratio between the image distance and the object distance. A negative value indicates an inverted image; in magnitude, how many times larger or smaller the image is than the object. Enter the image and object distances.
mg/L to mEq/L Conversion
Converts an ion's concentration from milligrams per liter to milliequivalents per liter, multiplying by the valence and dividing by the molar mass. It is the conversion used in interpreting electrolyte tests and water quality. Enter the concentration in mg/L, the valence, and the molar mass.
Dose for Weight in Pounds (mg/kg)
Calculates the total dose of a medication for a patient whose weight is in pounds, converting to kilograms and multiplying by the dose per kilo. It is useful when following US package inserts and protocols, which usually use pounds. Enter the weight in pounds and the dose in mg/kg.
Venous Oxygen Content (CvO₂)
Calculates the venous oxygen content (CvO₂), the sum of the oxygen bound to venous hemoglobin and that dissolved in plasma. Compared to the arterial content, it reveals how much oxygen the tissues extracted. Enter the hemoglobin, the venous saturation, and the venous partial pressure of oxygen.
Cylindrical Wedge (Ungula) Volume
Calculates the volume of a cylindrical wedge, the slice obtained by cutting a cylinder with a plane through a base diameter, two thirds of the radius squared times the height. It appears in pipe cuts and machined parts. Enter the base radius and the wedge height.
Barrel Volume (Kepler Approximation)
Calculates the volume of a barrel by Kepler's approximation, combining the central diameter, the end diameter, and the height. It is the formula Kepler derived while calculating the volume of wine barrels, a milestone at the dawn of integral calculus. Enter the central diameter, the end diameter, and the height.
Regular Polygon Apothem
Calculates the apothem of a regular polygon, the distance from the center to the midpoint of a side, from the side length and the number of sides. The apothem is essential for calculating the area of any regular polygon. Enter the side length and the number of sides.
Profit per Fund Unit
Calculates the profit per unit of a fund, the net profit divided by the number of outstanding units. It is the equivalent of earnings per share for investment funds, showing how much result belongs to each unit. Enter the net profit and the number of units.
Spherical Mirror Focal Length (f = R/2)
Calculates the focal length of a spherical mirror, half the radius of curvature. It is the fundamental relation of mirror optics: the focus lies halfway between the mirror and the center of curvature. Enter the radius of curvature.
Astronomical Telescope Magnification
Calculates the angular magnification of an astronomical telescope, the focal length of the objective divided by that of the eyepiece. Swapping the eyepiece for one of shorter focal length increases the magnification. Enter the focal lengths of the objective and the eyepiece.
mEq/L to mg/L Conversion
Converts an ion's concentration from milliequivalents per liter to milligrams per liter, multiplying by the molar mass and dividing by the valence. It is the inverse conversion, going from charge to mass. Enter the concentration in mEq/L, the molar mass, and the valence.
Total Daily Dose (mg/kg/day)
Calculates the total daily dose of a medication, the patient's weight multiplied by the dose per kilo per day. It is the first calculation of any weight-based prescription, before splitting into the day's administrations. Enter the weight and the dose in mg/kg/day.
Urine Albumin-to-Creatinine Ratio (ACR)
Calculates the urine albumin-to-creatinine ratio (ACR), the albumin divided by the creatinine in the urine. It is the test of choice to screen for albuminuria, an early sign of kidney disease in diabetes and hypertension. Enter the urine albumin and creatinine.
Lactate-to-Albumin Ratio
Calculates the lactate-to-albumin ratio, the serum lactate divided by the albumin. It is a prognostic marker studied in sepsis and critically ill patients, combining a sign of hypoperfusion with one of organic reserve. Enter the lactate and the albumin.
Spherical Lune Area
Calculates the area of a spherical lune, the region of a sphere's surface between two meridians, two times the radius squared times the angle between them in radians. It is the orange-peel slice. Enter the radius and the lune angle in radians.
Spherical Sector Volume
Calculates the volume of a spherical sector, the solid formed by a cap and the cone joining it to the sphere's center, two thirds of pi times the radius squared times the cap height. Enter the sphere radius and the cap height.
Spherical Ring (Napkin Ring) Volume
Calculates the volume of a spherical ring — what remains of a sphere after drilling a cylinder through its center — by the famous napkin-ring problem: it depends only on the ring's height, not the sphere's radius. It is pi over six times the height cubed. Enter the ring height.
Average Unit Cost
Calculates the average unit cost of a batch, the total cost divided by the number of units. It is the basis of pricing and inventory control: knowing how much each unit cost on average. Enter the total cost and the quantity.
Weighted Average Purchase Price
Calculates the weighted average price of two purchases of the same item at different prices, weighting each price by the quantity acquired. It is the average cost used in inventory control when buying at different times. Enter the quantities and prices of the two purchases.
Compound Microscope Magnification
Calculates the total magnification of a compound microscope, the product of the objective and eyepiece magnifications. A 40× objective with a 10× eyepiece results in 400× magnification. Enter the objective and eyepiece magnifications.
Critical Angle for Total Internal Reflection
Calculates the critical angle for total internal reflection, the arcsine of the ratio between the refractive indices of the less and more refractive media. Above this angle, light does not escape and is totally reflected — the principle of optical fibers. Enter the two refractive indices.
Prism Minimum Deviation
Calculates the minimum deviation of light passing through a prism, from the prism's refracting angle and the material's refractive index. At minimum deviation, light crosses the prism symmetrically. It is the basis of precise refractive-index measurement. Enter the refractive index and the prism angle.
Volume/Volume Percent (% v/v)
Calculates the volume percent of a solution, the percentage ratio between the solute volume and the total volume. It is the way to express the concentration of liquid mixtures, like the alcohol content of beverages. Enter the solute volume and the solution volume.
Concentration after Reconstitution
Calculates the concentration of a powdered medication after reconstitution, the powder mass divided by the volume of diluent added. It is the nursing calculation to prepare antibiotics and other lyophilized injectables. Enter the powder mass and the diluent volume.
Perfusion Index (PI)
Calculates the perfusion index, the percentage ratio between the pulsatile and non-pulsatile components of the pulse oximeter signal. It reflects the pulse strength at the measurement site and helps assess peripheral perfusion. Enter the pulsatile and non-pulsatile components.
Torus Surface Area
Calculates the surface area of a torus, the shape of a donut, four pi squared times the major radius times the tube radius. It is an elegant result of Pappus's theorem. Enter the major radius and the tube radius.
Cylindrical Helix Length
Calculates the length of a cylindrical helix, like a spring or a screw thread, combining the radius, the pitch between turns, and the number of turns by the Pythagorean theorem. Enter the radius, the pitch per turn, and the number of turns.
Freight Cost per Kilogram
Calculates the freight cost per kilogram, the total freight value divided by the total weight transported. It helps compare carriers and allocate freight among the items of a load. Enter the total freight value and the total weight.
Harmonic Frequency on a String
Calculates the frequency of a harmonic on a string fixed at both ends, the harmonic order times the wave speed, divided by twice the length. It is the physics behind the notes of a guitar or violin. Enter the harmonic order, the wave speed, and the string length.
Open Pipe Fundamental Frequency
Calculates the fundamental frequency of a sound pipe open at both ends, the speed of sound divided by twice the length. It is the lowest note that a flute or an open organ pipe produces. Enter the speed of sound and the pipe length.
mol/L to g/L Conversion
Converts a solution's concentration from moles per liter to grams per liter, multiplying by the solute's molar mass. It links the molar concentration to the common mass concentration, used in the practical preparation of solutions. Enter the concentration in mol/L and the molar mass.
Molarity to Normality Conversion
Converts a solution's molarity into normality, multiplying by the number of equivalents per mole — the hydrogens of an acid, the hydroxyls of a base, or the charge of an ion. For sulfuric acid, normality is double the molarity. Enter the molarity and the number of equivalents.
Salt → Base Dose Conversion
Calculates the active base dose of a drug from the salt dose, multiplying by the salt factor — the fraction of the salt's weight that corresponds to the base. It is essential when the prescription is in base but the product comes as a salt, like morphine sulfate. Enter the salt dose and the salt factor.
Daily Fluid Requirement (Holliday-Segar)
Calculates the daily maintenance fluid requirement by the Holliday-Segar rule, adding 100 mL/kg for the first 10 kg, 50 mL/kg for the next 10 kg, and 20 mL/kg for each kilo above 20. It is the standard of pediatric hydration. Enter the weight.
Circumradius of a Regular Polygon
Calculates the radius of the circle circumscribed about a regular polygon, the one passing through all vertices, from the side length and the number of sides. In a hexagon, the radius equals the side. Enter the side and the number of sides.
Elliptic Cylinder Volume
Calculates the volume of an elliptic cylinder, whose base is an ellipse, pi times the two base semi-axes times the height. It is the shape of ducts, oval columns, and some tanks. Enter the two base semi-axes and the height.
Rhombic Prism Volume
Calculates the volume of a prism with a rhombic base, the rhombus area — half the product of the diagonals — multiplied by the prism height. Enter the two base diagonals and the height.
Installment Price with Compound Interest
Calculates the installment price of a product sold in installments with compound interest, the cash price adjusted by the interest rate over the periods. It shows how much more is paid when financing a purchase. Enter the cash price, the interest rate, and the number of periods.
Margin on Cost (Markup)
Calculates the margin on cost, or markup, the difference between price and cost divided by the cost, as a percentage. It is how retail measures how much was added to the cost to reach the selling price. Enter the selling price and the cost.
Closed Pipe Fundamental Frequency
Calculates the fundamental frequency of a sound pipe closed at one end, the speed of sound divided by four times the length. With a fixed node, the closed pipe sounds an octave below an open pipe of the same size. Enter the speed of sound and the pipe length.
Dilution by Normality (N₁V₁ = N₂V₂)
Calculates the final volume of a solution after dilution, keeping the number of equivalents constant by the relation N₁V₁ = N₂V₂. It is the normality version of the dilution law, used in titrations and the preparation of standardized solutions. Enter the initial normality and volume and the desired final normality.
Cumulative Doxorubicin Dose
Calculates the cumulative dose of doxorubicin, the dose per cycle multiplied by the number of cycles. Tracking it is essential because the risk of cardiotoxicity rises above 450 to 550 mg/m². Enter the dose per cycle and the number of cycles.
Caloric Requirement by Weight
Calculates the estimated daily caloric requirement, the weight multiplied by the target calories per kilo. It is the starting point of a nutritional plan, later adjusted by activity and goal. Enter the weight and the target calories per kilo per day.
Elliptic Cone Volume
Calculates the volume of an elliptic cone, whose base is an ellipse, one third of pi times the two base semi-axes times the height. It is the generalization of the circular cone to oval bases. Enter the two base semi-axes and the height.
Rhombus Diagonal from Side and Other Diagonal
Calculates one diagonal of a rhombus from the side and the other diagonal, using the fact that the diagonals cross at right angles and bisect each other. It is the square root of four times the side squared minus the other diagonal squared. Enter the side and the known diagonal.
Isosceles Trapezoid Area from the Leg
Calculates the area of an isosceles trapezoid from the two bases and the leg length, first deriving the height by the Pythagorean theorem. Useful when the slanted side is known instead of the height. Enter the longer base, the shorter base, and the leg.
Number of Drops per Dose
Calculates the number of drops in a liquid dose, the dose volume multiplied by the dropper's drops per milliliter. It helps administer dripped medications when the dose is prescribed by volume. Enter the dose volume and the drops per milliliter.
Simple Commercial (Bank) Discount
Calculates the simple commercial discount, also called bank discount, the face value of the note multiplied by the rate and the term. It is the discount banks charge to advance receivables and checks, applied to the face value. Enter the face value, the rate, and the term.
Sound Intensity Level in Decibels
Calculates the sound intensity level in decibels, ten times the logarithm of the ratio between the sound intensity and the reference intensity of human hearing, 10⁻¹² W/m². Being logarithmic, every 10 dB represents ten times more intensity. Enter the sound intensity in W/m².
bar to psi Conversion
Converts a pressure from bar to pounds per square inch (psi), multiplying by 14.5038. It is the conversion between the metric and imperial units of pressure, common in tires, compressors, and imported equipment. Enter the pressure in bar.
Reactant Mass by Stoichiometry
Calculates the mass of a reactant or product needed in a chemical reaction, from the mass of another substance and the stoichiometric proportion between the coefficients and molar masses. It is the basis of quantity calculations in chemistry. Enter the known mass, the coefficients, and the molar masses of the two substances.
Insulin Units to mL Conversion (U-100)
Converts a U-100 insulin dose from international units to milliliters, dividing by a hundred, since U-100 insulin has 100 units per milliliter. It helps draw the correct dose in regular syringes when no insulin syringe is available. Enter the dose in units.
Target Heart Rate (% of Maximum)
Calculates the target heart rate for a workout by the percentage-of-maximum method, the desired percentage applied to the maximum heart rate. It is the simplest way to define the effort zone. Enter the maximum heart rate and the desired percentage.
Heart Rate Reserve
Calculates the heart rate reserve, the difference between the maximum and resting heart rates. It represents the margin of increase in heartbeats from rest to maximum effort, and is the basis of the Karvonen method. Enter the maximum and resting heart rates.
Hexagonal Pyramid Volume
Calculates the volume of a regular hexagonal pyramid, one third of the base hexagon area times the height. The base area uses the regular hexagon formula. Enter the hexagon side and the pyramid height.
Trapezoidal Prism Volume
Calculates the volume of a prism with a trapezoidal base, the area of the base trapezoid — average of the bases times the height — multiplied by the prism length. It appears in channels, gutters, and beams. Enter the two bases and the height of the trapezoid and the prism length.
Pentagonal Pyramid Volume
Calculates the volume of a regular pentagonal pyramid, one third of the base pentagon area times the height. The base area uses the regular pentagon formula, which involves the square root of five. Enter the pentagon side and the pyramid height.
Compound Rational Discount
Calculates the compound rational discount, the difference between a note's face value and its present value discounted at compound interest. It is the inside discount, applied to the present value, used in long-term financial operations. Enter the face value, the rate, and the number of periods.
Late-Payment Interest Proportional to Days
Calculates late-payment interest proportional to the days overdue, distributing the monthly rate across the days and multiplying by the days late. It is the way to charge late interest fairly, day by day. Enter the debt amount, the monthly rate, and the days overdue.
Gravity from a Pendulum
Calculates the local acceleration of gravity from the period of a simple pendulum, four pi squared times the length divided by the period squared. It is the classic experiment of measuring g with a pendulum. Enter the pendulum length and the oscillation period.
ppb to mg/L Conversion
Converts a concentration from parts per billion to milligrams per liter, dividing by a thousand, since 1 ppb equals one microgram per liter. It is used in water analysis and contaminants at very low levels. Enter the concentration in ppb.
Opioid Rescue Dose
Calculates the rescue dose of an opioid for breakthrough pain, a percentage of the total daily dose — usually 10 to 15 percent. It is given between the regular doses when pain escapes control. Enter the total daily dose and the rescue percentage.
Renal Perfusion Pressure
Calculates the renal perfusion pressure, the mean arterial pressure minus the intra-abdominal pressure. When the pressure inside the abdomen rises, kidney perfusion falls — a central relationship in abdominal compartment syndrome. Enter the mean arterial pressure and the intra-abdominal pressure.
Lactate-to-Pyruvate Ratio
Calculates the lactate-to-pyruvate ratio, the lactate divided by the pyruvate in the blood. A high ratio indicates mitochondrial dysfunction or tissue hypoxia, useful in investigating inborn errors of metabolism. Enter the lactate and pyruvate concentrations.
Hollow Cylinder (Tube) Volume
Calculates the volume of a hollow cylinder, or tube, pi times the difference between the squares of the outer and inner radii, multiplied by the height. It is the shape of pipes, bushings, and cylindrical rings. Enter the outer radius, the inner radius, and the height.
Square Pyramid Lateral Area
Calculates the lateral area of a square-base pyramid, two times the base edge times the pyramid's slant height — the sum of the four triangular faces. Enter the base edge and the slant height of the faces.
Square Pyramid Frustum Volume
Calculates the volume of a frustum of a square pyramid, one third of the height times the sum of the squares of the two bases and the product between them. It is the shape of funnels, lampshades, and foundations. Enter the edges of the two bases and the height.
Sales Commission on Revenue
Calculates the sales commission on revenue, the amount sold multiplied by the commission percentage. It is the most common model of variable salesperson pay, tied to the revenue generated. Enter the revenue and the commission percentage.
Average Inventory Holding Cost
Calculates the inventory holding cost, the average inventory value multiplied by the holding rate for the period. It covers space, insurance, and tied-up capital costs, essential in inventory management. Enter the average inventory value and the holding rate.
Fundamental Wavelength on a String
Calculates the wavelength of the fundamental mode of a string fixed at both ends, twice the length of the string. It is the largest possible standing wave, with an antinode in the middle and nodes at the ends. Enter the string length.
mol/L to ppm Conversion
Converts a dilute aqueous solution's concentration from moles per liter to parts per million, multiplying by the molar mass and by a thousand. It holds for dilute solutions, where the density is close to that of water. Enter the concentration in mol/L and the molar mass.
AUC by the Trapezoidal Rule (Pharmacokinetics)
Calculates the area under the concentration curve between two times by the trapezoidal rule, the average of the two concentrations multiplied by the time interval. It is the standard method to estimate drug exposure from serial samples. Enter the two concentrations and the time interval.
Serum-Ascites Albumin Gradient (SAAG)
Calculates the serum-ascites albumin gradient (SAAG), the blood albumin minus the ascitic fluid albumin. A high gradient, above 1.1 g/dL, indicates portal hypertension as the cause of the ascites. Enter the serum albumin and the ascitic fluid albumin.
AST/ALT Ratio (De Ritis Index)
Calculates the AST/ALT ratio, or De Ritis index, the ratio between the two liver transaminases. Values above 2 suggest alcoholic liver disease or cirrhosis; below 1, viral hepatitis. Enter the AST and ALT values.
Square Pyramid Total Surface Area
Calculates the total surface area of a square-base pyramid, the base area plus the lateral area of the four triangular faces. Enter the base edge and the slant height of the faces.
Hexagonal Bipyramid Volume
Calculates the volume of a hexagonal bipyramid, two hexagonal-base pyramids joined at the base, one third of the hexagon area times the total height between the apexes. Enter the hexagon side and the total height.
Regular Hexagonal Prism Surface Area
Calculates the total surface area of a regular hexagonal prism, the two hexagonal bases plus the six rectangular side faces. It appears in bolts, pencils, and columns. Enter the hexagon side and the prism height.
Equivalent Interest Rate Between Periods
Calculates the equivalent interest rate between different periods, keeping the same compound yield. It lets you convert, for example, a monthly rate into the equivalent annual one, without distorting the compounding effect. Enter the rate, the original period, and the desired period.
SHM Displacement as a Function of Time
Calculates the displacement of a body in simple harmonic motion at a given instant, the amplitude times the cosine of the product of the angular velocity and time. It describes the oscillator's position over time. Enter the amplitude, the angular velocity, and the time.
Average Oxidation Number
Calculates the average oxidation number of an element appearing in more than one state in a substance, the sum of the charges divided by the number of atoms. It is the case of iron in magnetite, with a fractional average oxidation number. Enter the sum of the element's charges and the number of atoms.
Clearance from ke and Volume of Distribution
Calculates a drug's clearance from the elimination constant and the volume of distribution, the product of the two. It is the fundamental pharmacokinetic relationship linking the elimination rate to the drug's distribution. Enter the elimination constant and the volume of distribution.
CRP/Albumin Ratio
Calculates the CRP/albumin ratio, the C-reactive protein divided by the albumin. It combines an inflammation marker with a nutritional one, studied as a prognostic indicator in critically ill and oncology patients. Enter the CRP and the albumin.
Onodera's Prognostic Nutritional Index
Calculates Onodera's prognostic nutritional index, ten times the albumin plus five thousandths of the total lymphocyte count. It is used to assess nutritional risk before surgery, especially in gastrointestinal cancer. Enter the albumin and the lymphocyte count.
Monocyte-to-Platelet Ratio
Calculates the monocyte-to-platelet ratio, the number of monocytes divided by the platelet count. It is an inflammatory marker from the blood count, studied as a prognostic indicator in cardiovascular and inflammatory diseases. Enter the monocyte and platelet counts.
Equilateral Triangular Prism Surface Area
Calculates the total surface area of an equilateral triangular prism, the two triangular bases plus the three rectangular side faces. Enter the triangle side and the prism height.
Regular Pentagonal Prism Surface Area
Calculates the total surface area of a regular pentagonal prism, the two pentagonal bases plus the five rectangular side faces. Enter the pentagon side and the prism height.
Partially Filled Horizontal Cylinder Volume
Calculates the volume of liquid in a partially filled horizontal cylinder, from the radius, the liquid height, and the length. It is the calculation to gauge the contents of horizontal tanks by a dipstick. Enter the radius, the liquid height, and the cylinder length.
Gross Profit (Revenue − COGS)
Calculates a company's gross profit, the net revenue minus the cost of goods sold. It is the first level of result in the income statement, before operating expenses. Enter the net revenue and the COGS.
Markup Factor (Markon)
Calculates the markup factor, or markon, the factor by which the cost is multiplied to reach the selling price, considering the desired expenses and profit as a percentage of the price. It is the basis of retail pricing. Enter the expense percentage and the profit percentage.
Number of Rotations in a Time
Calculates the number of rotations a body completes in a time interval, the revolutions per minute divided by sixty and multiplied by the time in seconds. Enter the rotation in rpm and the time in seconds.
mg to mmol Conversion
Converts a mass in milligrams to millimoles, dividing by the substance's molar mass. It is the conversion used in laboratory tests and biochemistry, linking mass to amount of substance. Enter the mass in mg and the molar mass.
Product Mass from Percent Yield
Calculates the actual mass obtained in a reaction from the theoretical mass and the percent yield. Since no reaction is fully efficient, the actual product is always a fraction of what stoichiometry predicts. Enter the theoretical mass and the yield.
Half-life from the Elimination Constant
Calculates a drug's elimination half-life from the elimination constant, the natural logarithm of two divided by the constant. It is the inverse relationship linking the elimination rate to the time for the concentration to fall by half. Enter the elimination constant.
Time to Steady State
Calculates the time to a drug's steady state, approximately five half-lives, when the blood concentration stabilizes with repeated doses. It is when the effect reaches its plateau. Enter the drug's half-life.
Pentagonal Bipyramid Volume
Calculates the volume of a pentagonal bipyramid, two pentagonal-base pyramids joined at the base, one third of the pentagon area times the total height between the apexes. Enter the pentagon side and the total height.
Hexagonal Pyramid Total Surface Area
Calculates the total surface area of a hexagonal-base pyramid, the base hexagon area plus the area of the six triangular side faces. Enter the hexagon side and the slant height of the faces.
Conical Frustum Total Surface Area
Calculates the total surface area of a conical frustum, the sum of the two circular bases and the lateral surface, which depends on the slant height. It is the shape of buckets, lampshades, and funnels. Enter the larger and smaller radii and the slant height.
Present Value of Mixed Cash Flows (3 periods)
Calculates the present value of a series of three different cash flows, discounting each one by the rate over its period. It is the basis of investment analysis with year-by-year variable returns. Enter the three cash flows and the discount rate.
Magnitude of Average Vector Acceleration
Calculates the magnitude of the average vector acceleration, the magnitude of the change in the velocity vector divided by the time interval. Unlike the scalar version, it accounts for the change in velocity direction. Enter the components of the initial and final velocities and the time interval.
Meeting Time of Two Movers (opposite directions)
Calculates the time until two movers approaching in opposite directions meet, the distance between them divided by the sum of the speeds. It is a classic uniform-motion kinematics problem. Enter the initial distance and the two speeds.
Molar Mass of a Hydrate
Calculates the molar mass of a hydrated salt, the molar mass of the anhydrous salt plus the number of water molecules times 18. It is the calculation for salts like copper sulfate pentahydrate. Enter the anhydrous molar mass and the number of waters of crystallization.
Mass of Water of Crystallization in a Hydrate
Calculates the mass of water of crystallization in one mole of hydrate, the number of water molecules multiplied by 18. It lets you find the water fraction of a hydrated salt. Enter the number of waters of crystallization.
mg/mL to mcg/mL Conversion
Converts a concentration from milligrams per milliliter to micrograms per milliliter, multiplying by a thousand. It is the conversion used when diluting solutions and reading drug labels. Enter the concentration in mg/mL.
mcg/mL to mg/mL Conversion
Converts a concentration from micrograms per milliliter to milligrams per milliliter, dividing by a thousand. It is the inverse conversion, useful when preparing dilutions and adjusting doses. Enter the concentration in mcg/mL.
Hexagonal Bipyramid Surface Area
Calculates the total surface area of a hexagonal bipyramid, its twelve equal triangular faces, from the base edge and the height of one pyramid. Enter the hexagon side and the height of one of the pyramids.
Hexagonal Pyramid Frustum Volume
Calculates the volume of a frustum of a hexagonal pyramid, one third of the height times the sum of the areas of the two hexagonal bases and the square root of their product. Enter the edges of the two bases and the height.
Pentagonal Bipyramid Surface Area
Calculates the total surface area of a pentagonal bipyramid, its ten equal triangular faces, from the base edge and the height of one pyramid. Enter the pentagon side and the height of one of the pyramids.
Time in Simple Interest
Calculates the term of a simple-interest investment from the interest earned, the principal, and the rate, dividing the interest by the product of principal and rate. It is the inverse calculation that finds how long it takes a sum to yield a given interest. Enter the interest, the principal, and the rate.
Principal in Compound Interest
Calculates the initial principal that, at compound interest, results in a given amount after a number of periods, discounting the amount by the rate. It is the inverse of compound growth. Enter the amount, the rate, and the number of periods.
Resultant Force by the Parallelogram Rule
Calculates the magnitude of the resultant of two forces forming an angle between them, by the parallelogram rule, the root of the sum of the squares plus twice the product times the cosine of the angle. Enter the two forces and the angle between them.
Relative Lowering of Vapor Pressure
Calculates the relative lowering of a solvent's vapor pressure when adding a non-volatile solute, the difference between the pressures divided by the pure solvent pressure. By Raoult's law, it equals the solute's mole fraction. Enter the pure solvent pressure and the solution pressure.
Total Dose to mcg/kg Conversion
Converts a total dose in micrograms to dose per kilogram, dividing by the patient's weight. It is the calculation to standardize the dose to weight, especially in pediatrics and intensive care. Enter the total dose and the weight.
Infusion Rate (mg/h to mL/h)
Calculates the infusion rate in milliliters per hour from the desired dose in milligrams per hour and the solution concentration. It is the nursing calculation to set the infusion pump. Enter the dose in mg/h and the concentration in mg/mL.
Pentagonal Pyramid Frustum Volume
Calculates the volume of a frustum of a pentagonal pyramid, one third of the height times the sum of the areas of the two pentagonal bases and the square root of their product. Enter the edges of the two bases and the height.
Regular Octagon Area
Calculates the area of a regular octagon from its side, two times one plus the square root of two, times the side squared. The octagon is the shape of stop signs and many tiles. Enter the side length.
Regular Octagonal Prism Volume
Calculates the volume of a regular octagonal prism, the area of the base octagon multiplied by the height. It appears in columns, pencils, and mechanical parts. Enter the octagon side and the prism height.
Regular Octagonal Prism Surface Area
Calculates the total surface area of a regular octagonal prism, the two octagonal bases plus the eight rectangular side faces. Enter the octagon side and the prism height.
Compound Rational Discount
Calculates the compound rational discount of a note redeemed before maturity, the difference between its face value and its present value discounted at compound interest. The earlier the redemption, the larger the discount. Enter the face value, the rate, and the number of periods.
Electric Potential of a Point Charge
Calculates the electric potential generated by a point charge at a distance from it, the electrostatic constant times the charge divided by the distance. The potential measures the energy per unit charge at a point in the field. Enter the charge and the distance.
Combined Gas Law
Calculates the final pressure of an ideal gas moving from one state to another by the combined gas law, in which the product of pressure and volume over temperature is constant. It unites the laws of Boyle, Charles, and Gay-Lussac in one. Enter the initial pressure, volume, and temperature and the final volume and temperature.
Extrapolated AUC (Tail to Infinity)
Calculates the area under the concentration curve extrapolated from the last measured concentration to infinity, the ratio of that concentration to the elimination constant. It is the final portion added to the AUC to obtain the drug's total exposure. Enter the last concentration and the elimination constant.
Regular Heptagon Area
Calculates the area of a regular heptagon, a polygon with seven equal sides, from the side length using the formula with the cotangent of pi over seven. Enter the side length.
Regular Nonagon Area
Calculates the area of a regular nonagon, a polygon with nine equal sides also called an enneagon, from the side length. Enter the side length.
Regular Decagon Area
Calculates the area of a regular decagon, a polygon with ten equal sides, from the side length. Enter the side length.
Octagonal Pyramid Frustum Volume
Calculates the volume of a frustum of an octagonal pyramid, one third of the height times the sum of the areas of the two octagonal bases and the square root of their product. Enter the edges of the two bases and the height.
Regular Octagonal Pyramid Volume
Calculates the volume of a regular pyramid with an octagonal base, one third of the base octagon's area times the height. Enter the octagon side and the pyramid height.
Parabolic Segment Area (Archimedes)
Calculates the area of a parabolic segment by Archimedes' theorem, two thirds of the product of the base and the segment's height. It was one of the first exact integration results, obtained centuries before calculus. Enter the base and the height of the segment.
Cost Performance Index (CPI)
Calculates a project's cost performance index by earned value analysis, the ratio of earned value to the actual cost of work performed. A CPI above one means the project is spending less than planned. Enter the earned value and the actual cost.
Reduced Mass of Two Bodies
Calculates the reduced mass of a two-body system, the product of the masses divided by their sum. It is the equivalent mass that turns a two-body problem into a one-body one, used in orbits, collisions, and molecular vibrations. Enter the two masses.
Conical Pendulum Period
Calculates the period of a conical pendulum, a mass tracing a horizontal circle at the end of an inclined string, from the string length and the angle to the vertical. It uses gravity of 9.8 meters per second squared. Enter the string length and the angle.
Effective Nuclear Charge (Slater)
Calculates the effective nuclear charge felt by an electron, the atomic number minus the shielding constant of the other electrons. The greater the effective charge, the more strongly the electron is attracted to the nucleus. Enter the atomic number and the shielding constant.
Bond Order (Molecular Orbital)
Calculates the bond order of a molecule by molecular orbital theory, half the difference between the number of electrons in bonding and antibonding orbitals. A higher order means a stronger and shorter bond. Enter the bonding and antibonding electrons.
Receptor Occupancy (Clark Model)
Calculates the fraction of receptors occupied by a drug by the Clark model, the ligand concentration divided by the sum of that concentration and the dissociation constant. When the concentration equals the constant, half of the receptors are occupied. Enter the ligand concentration and the dissociation constant.
Regular Dodecagon Area
Calculates the area of a regular dodecagon, a polygon with twelve equal sides, from the side length, three times two plus the square root of three, times the side squared. Enter the side length.
Cyclic Quadrilateral Area (Brahmagupta)
Calculates the area of a cyclic quadrilateral, one inscribed in a circle, by Brahmagupta's formula from the four sides. It is the generalization of Heron's formula to quadrilaterals. Enter the four sides.
Diagonal Product (Ptolemy's Theorem)
Calculates the product of the diagonals of a cyclic quadrilateral by Ptolemy's theorem, the sum of the products of the pairs of opposite sides. It holds for every quadrilateral inscribed in a circle. Enter the four sides in boundary order.
Regular Octagonal Pyramid Surface Area
Calculates the total surface area of a regular octagonal pyramid, the base octagon's area plus the eight lateral triangular faces. Enter the octagon side and the face apothem, which is the height of each triangle.
Schedule Performance Index (SPI)
Calculates a project's schedule performance index by earned value analysis, the ratio of earned value to the planned value of the work. An SPI above one means the project is ahead of schedule. Enter the earned value and the planned value.
Cost Variance (CV)
Calculates a project's cost variance by earned value analysis, the difference between the earned value and the actual cost. A negative value indicates the project has spent more than the delivered work justifies. Enter the earned value and the actual cost.
Estimate at Completion (EAC)
Calculates a project's estimate at completion by earned value analysis, the total budget divided by the cost performance index. It forecasts the project's final cost if the current performance holds. Enter the budget at completion and the cost performance index.
Magnetic Field Inside a Toroid
Calculates the magnetic field intensity inside a toroid, the product of the vacuum permeability, the number of turns, and the current divided by the length of the mean circumference. Enter the number of turns, the current, and the mean radius.
Mutual Inductance Between Coils
Calculates the mutual inductance between two coupled coils, the coupling coefficient times the square root of the product of their inductances. It measures how much the current in one coil induces voltage in the other. Enter the coupling coefficient and the two inductances.
Regular Heptagonal Prism Volume
Calculates the volume of a regular heptagonal prism, the area of the base heptagon multiplied by the prism height. Enter the heptagon side and the prism height.
General Quadrilateral Area (Bretschneider)
Calculates the area of any quadrilateral by Bretschneider's formula, from the four sides and two opposite angles. It generalizes Brahmagupta's formula to non-cyclic quadrilaterals. Enter the four sides and two opposite angles.
Hill Equation (Fractional Response)
Calculates a system's fractional response by the Hill equation, the ligand concentration raised to the Hill coefficient divided by the sum of that power with the half-response constant raised to the same coefficient. The coefficient describes the cooperativity of binding. Enter the concentration, the half-response constant, and the Hill coefficient.
Remaining Drug Fraction in the Body
Calculates the fraction of a drug dose still remaining in the body after a time, the exponential of the negative of the elimination constant times the time. It describes the first-order decay of the concentration. Enter the elimination constant and the elapsed time.
Most Probable Speed of a Gas
Calculates the most probable speed of an ideal gas's molecules by the Maxwell-Boltzmann distribution, the root of two times the gas constant times the temperature over the molar mass. It is the speed at the peak of the distribution. Enter the temperature in kelvin and the molar mass in kilograms per mole.
Schedule Variance (SV)
Calculates a project's schedule variance by earned value analysis, the difference between the earned value and the planned value. A negative value shows the project has delivered less than the schedule planned for the date. Enter the earned value and the planned value.
To-Complete Performance Index (TCPI)
Calculates a project's to-complete performance index by earned value analysis, the remaining work divided by the remaining budget. It indicates the cost efficiency required to finish within the plan. Enter the budget at completion, the earned value, and the actual cost.
Radius of Gyration
Calculates the radius of gyration of a rotating body, the square root of the moment of inertia divided by the mass. It is the distance from the axis at which all the mass could be concentrated while keeping the same moment of inertia. Enter the moment of inertia and the mass.
Q-Value of a Nuclear Reaction
Calculates the Q-value of a nuclear reaction, the energy released or absorbed, by multiplying the mass defect in atomic mass units by 931.5 megaelectronvolts. A positive value indicates an exothermic reaction. Enter the mass change between reactants and products.
Inhibition Constant Ki (Cheng-Prusoff)
Calculates a drug's inhibition constant by the Cheng-Prusoff equation, the half-maximal inhibitory concentration divided by one plus the ratio of the substrate concentration to the Michaelis constant. It converts the measured IC50 into the inhibitor's true affinity. Enter the IC50, the substrate concentration, and the Michaelis constant.
Reuleaux Triangle Area
Calculates the area of a Reuleaux triangle, the constant-width curve formed by three arcs, from its width. Although not a circle, it rolls keeping a constant height, as in drills that bore square holes. Enter the width.
Vesica Piscis Area
Calculates the area of the vesica piscis, the lens formed by the intersection of two circles of equal radius whose centers each lie on the other's edge. It is a classic figure of sacred geometry and Gothic arch tracing. Enter the radius of the circles.
Regular Decagonal Prism Volume
Calculates the volume of a regular decagonal prism, the area of the base decagon multiplied by the prism height. Enter the decagon side and the prism height.
Molar Mass by Freezing-Point Depression
Calculates the molar mass of a non-volatile solute from the freezing-point depression of the solution, using the solvent's cryoscopic constant, the masses of solute and solvent, and the temperature change. Enter the cryoscopic constant, the solute mass, the depression, and the solvent mass.
Equilibrium Constant by the van't Hoff Equation
Calculates the equilibrium constant of a reaction at a new temperature by the van't Hoff equation, from the initial constant, the reaction enthalpy, and the two temperatures. It shows how the equilibrium shifts with heat. Enter the initial constant, the enthalpy, the initial temperature, and the final temperature.
Continuously Compounded Interest
Calculates the amount of a principal under continuously compounded interest, the principal times the exponential of the rate times the time. It is the limit of compound interest as the number of compounding periods tends to infinity. Enter the principal, the rate, and the time.
Gross Rent Multiplier (GRM)
Calculates a property's gross rent multiplier, the market value divided by the annual rental income. A lower multiplier suggests the property pays for itself faster through rent. Enter the property value and the gross annual rent.
Synodic Period Between Two Bodies
Calculates the synodic period of two orbiting bodies, the interval between successive alignments seen from one of them, from their orbital periods. It is the inverse of the difference of the inverses of the periods. Enter the two orbital periods in the same unit.
Ballistic Pendulum Velocity
Calculates the initial velocity of a projectile by the ballistic pendulum method, from the masses of the projectile and the block and the height the assembly rises after impact. It uses gravity of 9.8 meters per second squared. Enter the projectile mass, the block mass, and the height.
Rayleigh Range of a Gaussian Beam
Calculates the Rayleigh range of a Gaussian beam, the distance over which the beam's cross-sectional area doubles from the waist, pi times the square of the waist radius divided by the wavelength. Enter the waist radius and the wavelength in the same unit.
Volume of Revolution (Pappus's Theorem)
Calculates the volume generated by revolving a plane region about an external axis by Pappus's second theorem, two pi times the distance from the centroid to the axis times the area of the region. Enter the distance from the centroid to the axis and the area of the region.
Surface of Revolution Area (Pappus's Theorem)
Calculates the area of the surface generated by revolving a plane curve about an external axis by Pappus's first theorem, two pi times the distance from the centroid to the axis times the length of the curve. Enter the distance from the centroid to the axis and the length of the curve.
Molar Mass by Osmometry
Calculates the molar mass of a solute from the solution's osmotic pressure, using the van't Hoff equation for solutions, the solute mass, the gas constant, the temperature, the pressure, and the volume. Enter the solute mass, the osmotic pressure, the volume, and the temperature.
Molar Mass by Boiling-Point Elevation
Calculates the molar mass of a non-volatile solute from the boiling-point elevation of the solution, using the solvent's ebullioscopic constant, the masses of solute and solvent, and the temperature change. Enter the ebullioscopic constant, the solute mass, the elevation, and the solvent mass.
Ideal Body Weight by the Devine Formula (Men)
Calculates a man's ideal body weight by the Devine formula, 50 kilograms plus 2.3 kilograms per inch of height above five feet. It is the basis for the dose adjustment of many drugs. Enter the height in centimeters.
Kelly Criterion (Bet Fraction)
Calculates the optimal fraction of capital to wager by the Kelly criterion, from the win probability and the payoff ratio. It maximizes long-term capital growth while avoiding ruin. Enter the payoff ratio and the win probability.
Roche Limit (Rigid Body)
Calculates the Roche limit of a rigid satellite, the minimum distance at which it can orbit a body without being torn apart by tidal forces, from the radius and densities of the two bodies. Enter the radius of the primary body and the densities of the primary and the satellite.
Luminous Flux at a Distance
Calculates the energy flux received at a distance from a point source by the inverse-square law, the luminosity divided by the area of the sphere of radius equal to the distance. It is how a star's brightness fades with distance. Enter the luminosity and the distance.
Laser Beam Divergence
Calculates the divergence angle of a Gaussian laser beam, the wavelength divided by the product of pi and the beam waist radius. The smaller the waist, the more the beam spreads as it propagates. Enter the wavelength and the waist radius in the same unit.
Area Under a Cycloid Arch
Calculates the area under one full arch of a cycloid, the curve traced by a point on the rim of a circle that rolls without slipping, three pi times the square of the generating circle's radius. The area is exactly three times the circle's area. Enter the generating circle's radius.
Astroid Area
Calculates the area enclosed by an astroid, the four-pointed star-shaped curve traced by a point on a circle rolling inside another four times larger, three eighths of pi times the square of the radius. Enter the radius of the astroid.
Cardioid Area
Calculates the area enclosed by a cardioid, the heart-shaped curve traced by a point on a circle rolling around another of equal radius, three halves of pi times the square of the parameter. Enter the cardioid's parameter.
Isoelectric Point of an Amino Acid
Calculates the isoelectric point of a neutral amino acid, the pH at which it carries no net charge, the average of the two pKa values flanking the neutral form. It is decisive in electrophoresis and protein separation. Enter the two pKa values.
Activity Coefficient (Debye-Hückel)
Calculates the mean activity coefficient of an electrolyte in dilute solution by the Debye-Hückel limiting law, from the product of the ion charges and the ionic strength. It shows how far the solution departs from ideal behavior. Enter the absolute value of the charge product and the ionic strength.
AUC/MIC Ratio (Pharmacodynamic Target)
Calculates the ratio of the area under the concentration curve to the minimum inhibitory concentration, a pharmacodynamic target that predicts the efficacy of concentration-dependent antibiotics. High values indicate a greater chance of therapeutic success. Enter the AUC and the MIC.
Holding Period Return (HPR)
Calculates the holding period return of an investment, the sum of the capital gain and the income received divided by the purchase price. It is the total return between buying and selling, before annualizing. Enter the initial price, the final price, and the income received.
Internal Growth Rate (IGR)
Calculates a company's internal growth rate, the maximum pace at which it can grow using only retained earnings, without raising external funds. It depends on the return on assets and the fraction of profit reinvested. Enter the return on assets and the retention ratio.
Hawking Temperature of a Black Hole
Calculates the Hawking temperature of a Schwarzschild black hole from its mass, by which it slowly radiates and evaporates. The smaller the black hole, the hotter it is. Enter the black hole's mass in kilograms.
Gravitational Binding Energy of a Sphere
Calculates the gravitational binding energy of a uniform sphere, the energy needed to disperse all its mass to infinity, three fifths of the gravitational constant times the square of the mass over the radius. Enter the mass and the radius of the sphere.
Hill Sphere Radius
Calculates the Hill sphere radius of a body, the region where its gravity dominates over that of the larger body it orbits, defining where moons and satellites can remain in stable orbit. Enter the orbit's semi-major axis and the masses of the smaller and larger bodies.
Lemniscate of Bernoulli Area
Calculates the area enclosed by the two loops of a lemniscate of Bernoulli, the figure-eight curve, which is exactly the square of the curve's parameter. Enter the lemniscate's parameter.
Deltoid Area (Tricuspid Hypocycloid)
Calculates the area enclosed by a deltoid, the three-cusped curve traced by a point on a circle rolling inside another three times larger, two pi times the square of the generating circle's radius. Enter the generating circle's radius.
Ostwald's Dilution Law (Ka)
Calculates the ionization constant of a weak electrolyte by Ostwald's dilution law, from the degree of dissociation and the solution concentration. It shows how dissociation increases as the solution is diluted. Enter the degree of dissociation and the concentration.
Rotational Energy of a Molecule (Rigid Rotor)
Calculates the energy of a rotational level of a diatomic molecule in the rigid rotor model, the rotational constant times the quantum number times itself plus one. The levels spread apart as the rotation increases. Enter the rotational constant and the rotational quantum number.
Albumin-Corrected Phenytoin (Sheiner-Tozer)
Calculates the corrected phenytoin concentration in patients with low albumin by the Sheiner-Tozer equation, adjusting the measured level to the fraction circulating free. It avoids underestimating the dose in those with hypoalbuminemia. Enter the measured phenytoin and the serum albumin.
Equivalent Annual Cost (EAC)
Calculates the equivalent annual cost of an investment, turning the present value of the total cost into a series of equal annual payments over the useful life. It allows comparing alternatives with different durations. Enter the present value of the cost, the rate, and the useful life.
Triangular Currency Arbitrage Profit
Calculates the percentage profit of a triangular currency arbitrage, the gain from converting one currency into a second, then a third, and back to the original. A positive result reveals an arbitrage opportunity. Enter the three exchange rates of the cycle.
Photon Sphere Radius of a Black Hole
Calculates the photon sphere radius of a Schwarzschild black hole, the orbit where light circles the black hole, which is one and a half times the horizon radius. Enter the black hole's mass in kilograms.
Bekenstein-Hawking Entropy of a Black Hole
Calculates the Bekenstein-Hawking entropy of a black hole, proportional to the area of its event horizon rather than its volume. It is one of the largest possible entropies for a given mass. Enter the black hole's mass in kilograms.
Stellar Mass-Luminosity Relation
Calculates the luminosity of a main-sequence star relative to the Sun by the mass-luminosity relation, the mass in solar masses raised to the power of three and a half. Small differences in mass produce enormous differences in brightness. Enter the mass in solar masses.
Folium of Descartes Loop Area
Calculates the area of the loop of the folium of Descartes, the classic leaf-shaped curve defined by the equation x cubed plus y cubed equals three a times x y, which equals three halves of the square of the parameter. Enter the curve's parameter.
Nephroid Area
Calculates the area enclosed by a nephroid, the kidney-shaped curve traced by a point on a circle rolling outside another of double radius, twelve pi times the square of the generating circle's radius. Enter the generating circle's radius.
Boltzmann Population Ratio
Calculates the ratio between the populations of two energy levels in thermal equilibrium by the Boltzmann distribution, from the degeneracies, the energy difference, and the temperature. It shows how heat distributes particles among levels. Enter the two degeneracies, the energy difference, and the temperature.
Boltzmann Entropy (S = k·ln W)
Calculates the entropy of a system by Boltzmann's equation, the Boltzmann constant times the natural logarithm of the number of accessible microstates. It is the bridge between the microscopic world and thermodynamics, engraved on Boltzmann's tombstone. Enter the number of microstates.
Dose Ratio in Competitive Antagonism (Schild)
Calculates the dose ratio of an agonist in the presence of a competitive antagonist by Schild analysis, one plus the ratio of the antagonist concentration to its dissociation constant. It measures how much the dose must rise to overcome the blockade. Enter the antagonist concentration and its dissociation constant.
Risk-Neutral Probability (Binomial Model)
Calculates the risk-neutral probability used in option pricing by the binomial model, from the risk-free rate, the time step, and the asset's up and down factors. It is the probability that makes the asset fair when discounted at the risk-free rate. Enter the rate, the time step, and the up and down factors.
Implied Forward Rate
Calculates the implied forward interest rate between two maturities from the corresponding spot rates, the rate the market embeds for the future period between the two maturities. It is the basis of fixed-income arbitrage. Enter the short rate and term and the long rate and term.
Eddington Luminosity
Calculates the Eddington luminosity of a body, the maximum brightness at which radiation pressure does not yet overcome gravity and expel the material. Above it, the star loses mass in intense winds. Enter the body's mass in kilograms.
Cherenkov Radiation Angle
Calculates the angle of the bluish light cone emitted when a charged particle crosses a medium faster than light in that medium, from the refractive index and the particle's speed. It is the blue glow seen in nuclear reactors. Enter the refractive index and the ratio of the particle's speed to that of light.
Vibrational Energy (Quantum Harmonic Oscillator)
Calculates the energy of a vibrational level of a molecule in the quantum harmonic oscillator model, the quantum number plus one half times Planck's constant times the frequency. Even at the lowest level a zero-point energy remains. Enter the vibrational quantum number and the frequency.
Bond Vibration Frequency
Calculates the vibration frequency of a chemical bond in the harmonic oscillator model, from the bond's force constant and the reduced mass of the atoms. Stiffer bonds and lighter atoms vibrate faster. Enter the force constant and the reduced mass.
Emax Model (Pharmacological Effect)
Calculates a drug's effect by the Emax model, the maximum effect multiplied by the concentration divided by the sum of the concentration and the half-response concentration. It describes how the effect saturates as the dose increases. Enter the maximum effect, the concentration, and the half-response concentration.
Drug Combination Index (Chou-Talalay)
Calculates the combination index of two drugs by the Chou-Talalay method, the sum of the ratios between each drug's concentration and its standalone concentration for the same effect. Below one indicates synergy, above one antagonism. Enter the concentrations and the inhibitory concentrations of each drug.
Area Under the Witch of Agnesi
Calculates the area between the witch of Agnesi and its asymptote, the bell-shaped curve defined from a generating circle, which equals four times the area of that circle, that is, four pi times the square of its radius. Enter the radius of the generating circle.
Cissoid of Diocles Area
Calculates the area between the cissoid of Diocles and its asymptote, the curve the Greeks created to double the cube, which equals three times the area of the generating circle, that is, three pi times the square of its radius. Enter the radius of the generating circle.
Option Value by the Binomial Model
Calculates the fair value of an option in one step of the binomial model, discounting at the risk-free rate the average of the up and down scenario values weighted by the risk-neutral probability. It is the building block of pricing trees. Enter the rate, the time step, the risk-neutral probability, and the up and down values.
Debt Yield (Real Estate)
Calculates the debt yield of a real estate loan, the ratio of the property's net operating income to the loan amount. Banks use this measure to assess a loan's risk independently of the interest rate. Enter the net operating income and the loan amount.
Debye Length of a Plasma
Calculates the Debye length of a plasma, the distance over which a particle's charge is screened by the others and the electric field nearly vanishes. It is the scale that separates collective from individual behavior. Enter the electron density and the temperature.
Fermi Energy of a Metal
Calculates the Fermi energy of a metal, the highest energy level occupied by free electrons at absolute zero, from the conduction electron density. It defines how energetic the electrons that carry the current are. Enter the free electron density.
Moment of Inertia of a Diatomic Molecule
Calculates the moment of inertia of a diatomic molecule about its center of mass, the product of the reduced mass and the square of the bond length. It is the quantity that governs the molecule's rotational spectrum. Enter the reduced mass and the bond length.
Trouton's Rule (Enthalpy of Vaporization)
Estimates the enthalpy of vaporization of a liquid by Trouton's rule, the product of the absolute boiling point and the average entropy of vaporization of about 88 joules per mole kelvin. It works well for liquids without hydrogen bonding. Enter the boiling point in kelvin.
Margin of Exposure (MOE) in Toxicology
Calculates the margin of exposure of a substance, the ratio of the no-observed-adverse-effect level from studies to the population's estimated exposure. High margins indicate low toxicological concern. Enter the no-observed-adverse-effect level and the estimated exposure.
Hazard Quotient (HQ) in Risk Assessment
Calculates the hazard quotient of a substance, the ratio of the estimated exposure to the reference dose considered safe. A value above one signals potential health risk. Enter the estimated exposure and the reference dose.
Pooled Variance
Calculates the pooled variance of two samples, the average of the variances weighted by each group's degrees of freedom. It is the basis of the t-test for independent samples with equal variances. Enter the sizes and variances of the two samples.
Golden Section Division of a Segment
Calculates the length of the larger part when dividing a segment into the golden section, where the ratio of the whole to the larger part equals the ratio of the larger part to the smaller, the golden number. It is the proportion found in art and nature. Enter the total length of the segment.
Operating Expense Ratio (OER)
Calculates a property's operating expense ratio, the ratio of operating expenses to gross income. The lower the ratio, the more efficient the property's management. Enter the operating expenses and the gross income.
Net Rental Yield
Calculates the annual net yield of a rented property, the rental income minus expenses divided by the property value. It shows the real return on the investment after maintenance costs and taxes. Enter the annual rent, the annual expenses, and the property value.
Fermi Velocity of a Metal
Calculates the Fermi velocity of a metal, the speed of the most energetic electrons of the free electron gas at absolute zero, from the electron density. These electrons move at millions of meters per second even without temperature. Enter the free electron density.
Gravitational Time Dilation
Calculates how much more slowly time passes near a massive body by general relativity, as a function of the body's mass and the distance to its center. The stronger the gravity, the slower the clock runs. Enter the mass, the distance to the center, and the far-away time interval.
Thermal de Broglie Wavelength
Calculates the thermal de Broglie wavelength of a particle, the scale at which quantum effects become relevant in a gas, from the particle's mass and the temperature. When it approaches the interparticle distance, the gas ceases to be classical. Enter the mass and the temperature.
Energy by the Equipartition Theorem
Calculates the average energy of a molecule by the equipartition theorem, half the Boltzmann constant times the temperature for each degree of freedom. It is how thermal energy splits equally among the modes of motion. Enter the number of degrees of freedom and the temperature.
Lifetime Cancer Risk (Toxicology)
Calculates the lifetime cancer risk from exposure to a carcinogenic substance, the product of the chronic daily intake and the cancer slope factor. It is the basis of environmental risk assessment. Enter the chronic daily intake and the slope factor.
Bioconcentration Factor (BCF)
Calculates the bioconcentration factor of a substance, the ratio of the concentration in an organism to the concentration in the water it lives in. High values indicate the substance accumulates in tissues. Enter the concentration in the organism and in the water.
Internal Angle Bisector Length of a Triangle
Calculates the length of the internal angle bisector from a triangle's vertex to the opposite side, from the two adjacent sides and the opposite side. It is the line that splits the vertex angle in half. Enter the two adjacent sides and the opposite side.
Lucas Number
Calculates the n-th number of the Lucas sequence, the cousin of the Fibonacci sequence that starts at two and one and follows the same rule of adding the two previous terms. It appears in number theory and the golden ratio. Enter the position in the sequence.
Loan-to-Cost (LTC) Ratio
Calculates the loan-to-cost ratio of a project, the loan amount divided by the total cost of construction or acquisition. It is used in real estate development to measure how much of the project is debt-financed. Enter the loan amount and the total project cost.
Equity Multiple
Calculates the equity multiple of an investment, the total received divided by the equity invested. A multiple of two times means the investor received double what was contributed. Enter the total distributions and the invested capital.
Fermi Temperature of a Metal
Calculates the Fermi temperature of a metal, the temperature equivalent to the Fermi energy of the free electrons, obtained by dividing that energy by the Boltzmann constant. In metals it reaches tens of thousands of kelvin. Enter the Fermi energy in electronvolts.
Black Hole Evaporation Time
Calculates the time a Schwarzschild black hole takes to evaporate completely through Hawking radiation, which grows with the cube of the mass. Stellar black holes take times absurdly longer than the age of the universe. Enter the black hole's mass in kilograms.
Rotational Constant of a Molecule
Calculates the rotational constant of a molecule in wavenumbers from its moment of inertia, the quantity that sets the spacing of the lines in the rotational spectrum. The larger the inertia, the smaller the constant. Enter the moment of inertia in kilogram meter squared.
Vapor Pressure of an Ideal Binary Mixture
Calculates the total vapor pressure of an ideal mixture of two volatile liquids by Raoult's law, the sum of the vapor pressures of each pure component weighted by their mole fractions. Enter the mole fractions and the pure vapor pressures of the two components.
Environmental Risk Quotient (PEC/PNEC)
Calculates the environmental risk quotient of a substance, the ratio of the predicted environmental concentration to the predicted no-effect concentration for organisms. A value above one indicates ecological risk. Enter the predicted environmental concentration and the no-effect concentration.
Hazard Index (Sum of Hazard Quotients)
Calculates the hazard index of exposure to multiple substances, the sum of the individual hazard quotients of each. An index above one signals that the combined effect may be of concern. Enter the hazard quotients of up to three substances.
Cevian Length (Stewart's Theorem)
Calculates the length of a cevian of a triangle by Stewart's theorem, from the two sides leaving the vertex and the two segments into which the cevian divides the opposite side. It works for medians, bisectors, and any line from the vertex to the opposite side. Enter the two sides and the two segments.
Power of a Point with Respect to a Circle
Calculates the power of a point with respect to a circle, the square of the distance from the point to the center minus the square of the radius. It is positive outside the circle, zero on it, and negative inside. Enter the distance from the point to the center and the radius.
Mortgage Constant
Calculates the mortgage constant of a loan, the fraction of the outstanding balance paid each period between interest and principal, from the rate and the term. It shows the annual weight of the debt over the financed amount. Enter the rate per period and the number of payments.
70% Rule for Buying a Fixer-Upper
Calculates the maximum amount to offer for a property to resell after renovation by the seventy percent rule, seventy percent of the expected sale value minus the renovation cost. It is a classic house-flipping shortcut to ensure a margin. Enter the after-repair value and the renovation cost.
Innermost Stable Circular Orbit (ISCO) Radius
Calculates the radius of the innermost stable circular orbit around a Schwarzschild black hole, equal to three times the event horizon radius. Closer than that, matter inevitably plunges inward. Enter the black hole's mass in kilograms.
Debye Temperature of a Solid
Calculates the Debye temperature of a crystalline solid, the temperature above which all lattice vibration modes are active, from the speed of sound and the atomic density. It governs the behavior of the specific heat with temperature. Enter the speed of sound and the atomic density.
Einstein Relation (Diffusion and Mobility)
Calculates the diffusion coefficient of a charged particle by the Einstein relation, the product of the mobility, the Boltzmann constant, and the temperature, divided by the charge. It links random thermal motion to the response to a field. Enter the mobility, the temperature, and the charge.
Walden's Rule (Conductivity and Viscosity)
Calculates the molar conductivity of an electrolyte in a second solvent by Walden's rule, according to which the product of molar conductivity and viscosity is approximately constant. It is useful for predicting ion mobility when changing media. Enter the molar conductivity and viscosity in the first solvent and the viscosity in the second.
Pell Number
Calculates the n-th number of the Pell sequence, in which each term is twice the previous one plus the one before it, starting at zero and one. Its ratios converge to the silver ratio and approximate the square root of two. Enter the position in the sequence.
Triangle Altitude from the Three Sides
Calculates the altitude of a triangle relative to a side from the lengths of the three sides, using the area obtained by Heron's formula. It is twice the area divided by the side chosen as the base. Enter the side taken as the base and the other two sides.
Percent Inhibition of an Assay
Calculates the percent inhibition of an enzyme or process in an assay, the drop in activity in the presence of the inhibitor relative to the control. It is the basic readout of drug screens and enzyme inhibition studies. Enter the control activity and the activity with the inhibitor.
Standard Safety Margin of a Drug
Calculates the standard safety margin of a drug, how much the lethal dose for one percent of the population exceeds the effective dose for ninety-nine percent, in percentage terms. Larger margins indicate a safer drug. Enter the lethal dose for one percent and the effective dose for ninety-nine percent.
Logarithmic Return (Continuously Compounded)
Calculates the logarithmic return of an asset, the natural logarithm of the ratio of the final to the initial price. It is the return used in quantitative finance because it can be summed over time, unlike the simple return. Enter the initial price and the final price.
Defensive Interval Ratio
Calculates a company's defensive interval, how many days it can operate using only liquid assets to cover daily operating expenses. It is a measure of cash runway without new revenue. Enter the liquid assets and the daily operating expenses.
Zeeman Splitting (Normal Effect)
Calculates the energy shift of an atomic level in a magnetic field by the normal Zeeman effect, the product of the magnetic quantum number, the Bohr magneton, and the field strength. It is what splits the spectral lines under a field. Enter the magnetic quantum number and the field.
Landau Level Energy
Calculates the energy of a Landau level of an electron in a magnetic field, the level number plus one half times the reduced Planck constant times the cyclotron frequency. They are the quantized levels that explain the quantum Hall effect. Enter the level number and the magnetic field.
Percent Ionic Character of a Bond
Calculates the percent ionic character of a chemical bond by Pauling's formula, from the electronegativity difference between the atoms. The greater the difference, the closer the bond is to an ionic bond. Enter the electronegativity difference.
Mulliken Electronegativity
Calculates the electronegativity of an atom by the Mulliken scale, the average of the ionization energy and the electron affinity. Unlike the Pauling scale, it starts from quantities measured directly from the atom. Enter the ionization energy and the electron affinity.
Circumradius of a Triangle
Calculates the radius of the circle circumscribed about a triangle from the three sides, the product of the sides divided by four times the area obtained by Heron's formula. It is the radius of the circle that passes through the three vertices. Enter the three sides.
Distance Between Circumcenter and Incenter (Euler's Formula)
Calculates the distance between the circumcenter and the incenter of a triangle by Euler's formula, the root of the circumradius squared minus twice the product of the circumradius and the inradius. It links the two notable centers in a single expression. Enter the circumradius and the inradius.
Number Needed to Harm (NNH)
Calculates the number needed to harm of a treatment, how many patients must be treated for one of them to suffer one extra adverse effect compared with the control group. It is the inverse of the absolute risk increase. Enter the adverse event rate in the treatment and in the control.
Absolute Risk Reduction (ARR)
Calculates the absolute risk reduction of a treatment, the difference between the event rate in the control group and the treated group. It shows the real benefit of the treatment in percentage points, without inflating it like the relative risk. Enter the event rate in the control and in the treatment.
After-Tax Cost of Debt
Calculates a company's effective cost of debt after the tax shield, the interest rate multiplied by one minus the tax rate. Since interest is deductible, debt ends up cheaper than the nominal rate. Enter the interest rate and the tax rate.
Breakeven Occupancy Rate (Real Estate)
Calculates the minimum occupancy rate a property needs to cover operating expenses and debt service, the sum of these costs divided by the potential gross income. Below it, the investment loses money. Enter the operating expenses, the debt service, and the potential income.
Quantum Hall Resistance (von Klitzing)
Calculates the quantized Hall resistance of a two-dimensional electron gas, the von Klitzing constant divided by the filling factor of the Landau levels. These exact steps now define the international standard of the ohm. Enter the filling factor.
Energy of a Magnetic Dipole in a Field
Calculates the potential energy of a magnetic dipole in a field, the negative of the product of the magnetic moment, the field, and the cosine of the angle between them. The energy is minimum when the dipole aligns with the field. Enter the magnetic moment, the field, and the angle.
Mean Free Path of a Gas
Calculates the mean free path of a gas's molecules, the average distance a molecule travels between two collisions, from the molecular diameter, the temperature, and the pressure. The more rarefied the gas, the longer this path. Enter the molecular diameter, the temperature, and the pressure.
Adiabatic Index of a Gas (γ)
Calculates the adiabatic index of a gas, the ratio of the heat capacities at constant pressure and volume, from the number of degrees of freedom of the molecules. It equals five thirds for monatomic gases and seven fifths for diatomic ones. Enter the number of degrees of freedom.
Exradius of a Triangle
Calculates the radius of a circle escribed to a triangle, the one tangent to one side and to the extensions of the other two, the area divided by the semiperimeter minus the opposite side. Enter the side opposite the circle and the other two sides.
F-Statistic (Variance Ratio)
Calculates the F-statistic of a test, the ratio of two sample variances, the basis of the F-test to compare the spread of two groups or the significance of a regression. By convention, the larger variance is divided by the smaller. Enter the two variances.
Relative Risk Reduction (RRR)
Calculates the relative risk reduction of a treatment, the absolute risk reduction divided by the event rate in the control group. It expresses by what percentage the treatment lowers the risk, but it can appear larger than the real benefit. Enter the event rate in the control and in the treatment.
Youden Index of a Diagnostic Test
Calculates the Youden index of a diagnostic test, the sum of the sensitivity and the specificity minus one. It summarizes in a single number how well the test separates the sick from the healthy, ranging from zero to one. Enter the sensitivity and the specificity.
Debt-to-Assets Ratio
Calculates a company's overall debt ratio, the total debt divided by total assets. It shows what fraction of the assets is financed by outside capital. Enter the total debt and the total assets.
Solvency Ratio
Calculates a company's solvency ratio, the sum of net income and depreciation divided by total liabilities. It measures the ability to meet debts with the cash the operation generates. Enter the net income, the depreciation, and the total liabilities.
Average Density of a Black Hole
Calculates the average density of a Schwarzschild black hole, the mass divided by the volume of the sphere with radius equal to the event horizon. Curiously, larger black holes are less dense than water. Enter the black hole's mass in kilograms.
Minimum Thickness of a Thin Film
Calculates the smallest thickness of a thin film, such as a soap bubble, that produces constructive interference in reflected light, the wavelength divided by four times the refractive index. It is what creates the iridescent colors of bubbles. Enter the wavelength and the refractive index of the film.
Reduced Temperature (Corresponding States)
Calculates the reduced temperature of a gas, the ratio of the temperature to the substance's critical temperature. It is the dimensionless variable of the principle of corresponding states, which makes different gases behave similarly. Enter the temperature and the critical temperature.
Reduced Pressure (Corresponding States)
Calculates the reduced pressure of a gas, the ratio of the pressure to the substance's critical pressure. Together with the reduced temperature, it allows using a single compressibility chart for any real gas. Enter the pressure and the critical pressure.
Bell Number
Calculates the n-th Bell number, the number of different ways to partition a set of n elements into groups. It appears in combinatorics, partition theory, and even cryptography. Enter the number of elements in the set.
British Flag Theorem (Fourth Distance)
Calculates the distance from a point to the fourth vertex of a rectangle by the British flag theorem, according to which the sum of the squares of the distances to two opposite vertices equals the sum for the other pair. Enter the distances from the point to three of the vertices.
Positive Predictive Value of a Test
Calculates the positive predictive value of a diagnostic test, the probability that someone with a positive result actually has the disease, from the sensitivity, specificity, and prevalence. It depends heavily on how common the disease is in the population. Enter the sensitivity, specificity, and prevalence.
Diagnostic Odds Ratio (DOR)
Calculates the diagnostic odds ratio of a test, the product of sensitivity and specificity divided by the product of their complements. It summarizes the test's discriminating power in a single number, independent of prevalence. Enter the sensitivity and the specificity.
Capital Turnover
Calculates a company's capital turnover, the net revenue divided by the capital employed. It measures how many times the company turns the capital into sales in the period, reflecting how efficiently resources are used. Enter the net revenue and the invested capital.
Fixed Asset Turnover
Calculates a company's fixed asset turnover, the net revenue divided by net property, plant, and equipment. It shows how much each unit invested in machinery and facilities generates in sales, measuring the productivity of fixed assets. Enter the net revenue and the net fixed assets.
Light Deflection Angle (Gravitational Lens)
Calculates the angle by which light bends when passing near a massive body by general relativity, four times the gravitational constant times the mass over the square of the speed of light times the impact parameter. It was the measurement that confirmed Einstein's theory in 1919. Enter the mass and the impact parameter.
Newton's Rings Radius
Calculates the radius of a dark ring in the Newton's rings pattern, the root of the product of the ring order, the wavelength, and the lens radius of curvature. These rings arise from interference in the thin air layer between a lens and a flat plate. Enter the ring order, the wavelength, and the radius of curvature.
Allred-Rochow Electronegativity
Calculates the electronegativity of an atom by the Allred-Rochow scale, based on the electrostatic force the nucleus exerts on the valence electrons, from the effective nuclear charge and the covalent radius. Enter the effective nuclear charge and the covalent radius in angstroms.
Ionic Radius Ratio (Radius Ratio Rule)
Calculates the ratio of the cation radius to the anion radius of an ionic crystal, which by the radius ratio rule indicates the coordination number and the packing geometry. Values around 0.4 to 0.7 favor octahedral coordination. Enter the cation radius and the anion radius.
Viviani's Theorem (Equilateral Triangle)
Calculates the sum of the distances from an interior point to the three sides of an equilateral triangle by Viviani's theorem, which always equals the triangle's altitude, no matter where the point is. Enter the side of the equilateral triangle.
Spherical Law of Cosines
Calculates the third side of a spherical triangle by the spherical law of cosines, from two sides and the angle between them, all measured as arcs in degrees. It is the basis of computing distances and routes over the Earth's surface. Enter the two sides and the angle between them.
Negative Likelihood Ratio (LR−)
Calculates the negative likelihood ratio of a diagnostic test, one minus the sensitivity divided by the specificity. The lower the value, the more a negative result rules out the disease. Enter the sensitivity and the specificity.
Accuracy of a Diagnostic Test
Calculates the accuracy of a diagnostic test, the proportion of correct results among all those examined, combining the sensitivity, specificity, and disease prevalence. It measures the test's overall performance in the population. Enter the sensitivity, specificity, and prevalence.
Bank Discount Yield
Calculates the bank discount yield of a discounted instrument, the discount divided by the face value and annualized on a 360-day basis. It is the convention used to quote treasury bills and short-term paper. Enter the discount, the face value, and the term in days.
Bond Equivalent Yield
Calculates the bond equivalent yield of a discounted instrument, the discount divided by the purchase price and annualized on a 365-day basis. It allows comparing a discounted instrument with one that pays a coupon. Enter the discount, the purchase price, and the term in days.
Tidal Force (Gravitational Differential)
Calculates the tidal force that stretches an object in the presence of a massive body, the result of the difference in gravity between its ends, twice the gravitational constant times the central mass, the object's mass and size, over the cube of the distance. It is what creates the tides and spaghettification near black holes. Enter the central mass, the object's mass and size, and the distance.
Chirp Mass of a Gravitational Wave
Calculates the chirp mass of a pair of coalescing compact bodies, the combination of the two masses that governs the shape of the detected gravitational wave. It was this quantity that LIGO measured in the first direct detection of gravitational waves. Enter the two masses in solar masses.
Pauling Electronegativity Difference
Calculates the electronegativity difference between two atoms by Pauling's original definition, from the bond energies, 0.102 times the root of the excess energy of the heteronuclear bond over the geometric mean of the homonuclear ones. Enter the energies of the A-B, A-A, and B-B bonds in kilojoules per mole.
Lennard-Jones Potential
Calculates the potential energy between two molecules by the Lennard-Jones potential, four times the well depth times the difference between the repulsion term to the twelfth power and the attraction term to the sixth. It describes how neutral atoms repel up close and attract from afar. Enter the well depth, the zero-energy distance, and the distance between the molecules.
Spherical Triangle Area (Spherical Excess)
Calculates the area of a triangle drawn on a sphere from its three angles and the radius, by the spherical excess, the amount by which the sum of the angles exceeds one hundred eighty degrees. Unlike the plane, the angle sum depends on the size of the triangle. Enter the three angles and the radius of the sphere.
Stirling's Approximation of the Factorial
Calculates an estimate of the factorial of a number by Stirling's approximation, the root of two pi n times n over e raised to the n. It is surprisingly accurate for large n and is fundamental in statistics and thermodynamics. Enter the number.
Bioavailability from the First-Pass Effect
Calculates the oral bioavailability of a drug from the hepatic extraction ratio, one minus the fraction of the drug the liver removes before it reaches the circulation. Drugs heavily extracted by the liver reach the blood in small amounts. Enter the hepatic extraction ratio.
Number Needed to Screen (NNS)
Calculates the number needed to screen of a screening program, how many people must be examined to prevent one outcome, the number needed to treat divided by the prevalence of the condition. The rarer the disease, the more people must be screened. Enter the number needed to treat and the prevalence.
Money Market Yield
Calculates the money market yield of a discounted instrument, the discount divided by the purchase price and annualized on a 360-day basis. It is the yield used to compare short-term instruments such as CDs and commercial paper. Enter the discount, the purchase price, and the term in days.
Effective Annual Yield (from Period)
Calculates the effective annual yield of an investment from a period's return and its term, compounding the period return over a 365-day year. It shows the real annual gain with reinvestment. Enter the period return and the term in days.
Pair Production Threshold Energy
Calculates the minimum energy needed to create a pair of a particle and its antiparticle, twice the rest mass times the square of the speed of light. For the electron-positron pair this threshold is about 1.022 megaelectronvolts. Enter the rest mass of the particle.
Einstein Ring Radius
Calculates the angular radius of the Einstein ring, the ring-shaped image that appears when a source, a massive lens, and the observer align perfectly, from the lens mass and the distances involved. It is one of the most beautiful proofs of the curvature of spacetime. Enter the lens mass and the distances to the lens, to the source, and between them.
Percent Ionization of a Weak Acid
Calculates the percent ionization of a weak acid by Ostwald's dilution law in the low-dissociation approximation, the root of the ratio of the ionization constant to the concentration. The more diluted, the more the acid ionizes. Enter the ionization constant and the concentration.
Lineweaver-Burk Equation (Double Reciprocal)
Calculates the reciprocal of an enzymatic reaction's velocity by the Lineweaver-Burk equation, the linearized form of Michaelis-Menten kinetics, the Michaelis constant over the maximum velocity times the reciprocal of the concentration plus the reciprocal of the maximum velocity. It is the basis of the double-reciprocal plot. Enter the Michaelis constant, the maximum velocity, and the substrate concentration.
Multinomial Coefficient (Trinomial)
Calculates the multinomial coefficient of three groups, the number of ways to divide a set into three parts of given sizes, the factorial of the total divided by the product of the factorials of the parts. It generalizes the binomial coefficient to more than two categories. Enter the three sizes.
Law of Tangents (Angle Difference)
Calculates the difference between two angles of a triangle by the law of tangents, from the two sides leaving the third angle and the value of that angle. It is an alternative to the law of cosines for solving triangles with two sides and the included angle. Enter the two sides and the angle between them.
Sensitivity of a Diagnostic Test
Calculates the sensitivity of a diagnostic test, the proportion of sick people the test correctly identifies, the true positives over the total of sick people. A sensitive test rarely misses those who have the disease. Enter the true positives and the false negatives.
Specificity of a Diagnostic Test
Calculates the specificity of a diagnostic test, the proportion of healthy people the test correctly classifies, the true negatives over the total of healthy people. A specific test rarely flags disease in someone who is healthy. Enter the true negatives and the false positives.
Present Value of a Perpetuity
Calculates the present value of a perpetuity, a series of equal payments that never ends, by dividing the periodic payment by the discount rate. It is used to value perpetual bonds and permanent income streams. Enter the payment and the discount rate.
Benefit-Cost Ratio (BCR)
Calculates the benefit-cost ratio of a project, the present value of the benefits divided by the present value of the costs. A ratio above one indicates the project creates more value than it consumes. Enter the present value of the benefits and the costs.
Finesse of a Fabry-Perot Cavity
Calculates the finesse of a Fabry-Perot optical cavity, pi times the root of the mirror reflectance divided by one minus that reflectance. The higher the finesse, the narrower and better defined the transmission peaks. Enter the mirror reflectance.
Photoelectric Stopping Potential
Calculates the stopping potential of the photoelectric effect, the voltage that halts the fastest electrons ejected from a metal by light, the photon energy minus the work function divided by the electron charge. Enter the light frequency and the metal's work function in electronvolts.
Hydrogen Ion Concentration of a Weak Acid
Calculates the hydrogen ion concentration of a weak acid in the low-dissociation approximation, the root of the product of the ionization constant and the acid concentration. From it the solution's pH is obtained. Enter the ionization constant and the concentration.
Molarity from Density and Mass Percent
Calculates the molarity of a concentrated solution from its density, the solute's mass percent, and the molar mass, ten times the density times the percent over the molar mass. It is how the concentration of commercial acids is obtained from the label. Enter the density, the mass percent, and the molar mass.
Harmonic Number
Calculates the n-th harmonic number, the sum of the reciprocals of the integers from one to n. It grows slowly like the logarithm and appears in algorithm analysis and the harmonic series. Enter the value of n.
Two-Dimensional Cross Product
Calculates the cross product of two vectors in the plane, the perpendicular component that gives the signed area of the parallelogram they form. The sign indicates whether the turn from one vector to the other is clockwise or counterclockwise. Enter the components of the two vectors.
Pre-Test Odds
Calculates the pre-test odds of a disease, the ratio of the probability of having the disease to the probability of not having it, from the prevalence. It is the starting point for updating the probability with a test's likelihood ratio. Enter the prevalence.
Negative Predictive Value of a Test
Calculates the negative predictive value of a diagnostic test, the probability that someone with a negative result is truly free of the disease, from the sensitivity, specificity, and prevalence. In rare diseases it is usually very high. Enter the sensitivity, specificity, and prevalence.
Ulcer Index
Calculates the ulcer index of an investment, a downside-only risk measure equal to the root mean square of the percentage drawdowns from the prior peak. Unlike standard deviation, it penalizes only the pain of losses and ignores upside volatility. Enter the percentage drawdowns over three periods.
Merton Distance to Default
Calculates the distance to default in the Merton model, how many standard deviations separate a firm's asset value from its debt over the analyzed horizon. The larger the distance, the lower the probability that the firm fails to meet its obligations. Enter the asset value, the debt, the expected drift, the volatility, and the time horizon.
Stirling Number of the First Kind
Calculates the unsigned Stirling number of the first kind, which counts how many ways n elements can be arranged into exactly k disjoint cycles of a permutation. It appears in the combinatorics of permutations and in the expansion of the rising factorial into powers. Enter n and the number of cycles k.
Pochhammer Symbol (Rising Factorial)
Calculates the Pochhammer symbol, or rising factorial, the product of n consecutive factors starting at x: x times x plus one times x plus two, and so on. It is essential in hypergeometric functions and combinatorial series. Enter the starting value x and the number of factors n.
Larmor Radius (Gyroradius)
Calculates the Larmor radius, or gyroradius, the radius of the circular orbit a charged particle traces when moving perpendicular to a magnetic field, the mass times the velocity divided by the product of charge and field. It sets the size of the helical motion in plasmas and accelerators. Enter the mass, the perpendicular velocity, the charge, and the magnetic field.
Unruh Temperature
Calculates the Unruh temperature, the temperature of the thermal bath of radiation that an accelerating observer perceives in the vacuum, proportional to its proper acceleration. It is a quantum effect that connects acceleration, relativity, and thermodynamics. Enter the observer's proper acceleration.
Vegard's Law Lattice Parameter
Calculates the lattice parameter of an alloy or solid solution by Vegard's law, the weighted average of the parameters of the two pure components according to each one's mole fraction. It is a linear approximation widely used in semiconductors and mixed crystals. Enter the mole fraction of component A and the lattice parameters of both components.
Born-Landé Lattice Energy
Calculates the lattice energy of an ionic crystal with the Born-Landé equation, which combines the electrostatic attraction described by the Madelung constant with the short-range repulsion given by the Born exponent. The negative result shows how much energy is released when the crystal lattice forms. Enter the Madelung constant, the ion charges, the interionic distance, and the Born exponent.
Ganzoni Iron Deficit
Calculates the total iron deficit with the Ganzoni formula, the patient's weight times the difference between the target and current hemoglobin times the 2.4 factor, plus the iron needed to replenish stores. It guides the iron dose to replace when treating deficiency anemias. Enter the weight, the target hemoglobin, the current hemoglobin, and the storage iron.
Augsberger's Rule Pediatric Dose
Calculates the pediatric dose with the age-based Augsberger rule, multiplying the adult dose by a factor equal to one and a half times the age in years plus ten, expressed as a percentage. It is a classic estimate for adjusting medicines to children when no defined pediatric dose exists on the label. Enter the adult dose and the child's age.
Net Interest Margin (NIM)
Calculates a bank's net interest margin, the difference between interest income and interest expense divided by the interest-earning assets, expressed as a percentage. It is a gauge of how efficiently the institution turns its portfolio into results. Enter the interest income, the interest expense, and the earning assets.
Forward Price by Cost of Carry
Calculates the forward price of an asset with the cost-of-carry model, the spot price compounded continuously at the risk-free rate over the contract term. When the asset pays no income, this is the fair price that rules out arbitrage. Enter the spot price, the interest rate, and the term in years.
Falling Factorial
Calculates the falling factorial, the product of n consecutive factors descending from x: x times x minus one times x minus two, and so on. It counts ordered arrangements and appears in finite differences and combinatorics. Enter the starting value x and the number of factors n.
Lah Number
Calculates the unsigned Lah number, which counts how many ways a set of n elements can be split into k non-empty ordered lists. It links the rising and falling factorials and completes the family of Stirling numbers. Enter n and the number of lists k.
Abbe Diffraction Limit
Calculates the Abbe diffraction limit, the smallest distance between two points that an optical microscope can still resolve, the wavelength of light divided by twice the numerical aperture. It is the physical barrier that drove the development of super-resolution techniques. Enter the wavelength and the numerical aperture.
Alfvén Speed
Calculates the Alfvén speed, the speed at which magnetic disturbances travel along field lines in a plasma, the magnetic field divided by the root of the product of the vacuum permeability and the medium's density. It is a quantity central to solar physics and magnetohydrodynamics. Enter the magnetic field and the plasma density.
Sackur-Tetrode Entropy
Calculates the molar entropy of a monatomic ideal gas with the Sackur-Tetrode equation, which derives the absolute entropy from statistical mechanics using the molar mass, temperature, and pressure. It was one of the first triumphs of quantum physics applied to thermodynamics. Enter the molar mass, the temperature, and the pressure.
Joule-Thomson Coefficient
Calculates the Joule-Thomson coefficient of a real gas in the van der Waals approximation, the temperature change per unit pressure in a constant-enthalpy expansion, equal to twice the a parameter over RT minus the b parameter, all divided by the heat capacity. Its sign tells whether the gas cools or warms as it expands. Enter the van der Waals parameters a and b, the temperature, and the molar heat capacity.
Human Equivalent Dose (Allometric Scaling)
Calculates the human equivalent dose from the dose used in an animal by allometric scaling, multiplying the dose per kilogram by the weight ratio raised to the exponent that corrects for the body-surface-area difference. It is a standard step for estimating the first safe dose in clinical trials. Enter the animal dose, the animal weight, and the human weight.
PaO₂/FiO₂ Ratio (Kirby Index)
Calculates the PaO₂/FiO₂ ratio, or Kirby index, the partial pressure of oxygen in arterial blood divided by the inspired fraction of oxygen. It is the parameter used to grade the severity of acute respiratory distress syndrome in intensive care. Enter the PaO₂ in millimeters of mercury and the FiO₂ as a fraction.
Profit Factor
Calculates the profit factor of a trading strategy, the sum of all gains divided by the sum of all losses in absolute value. A factor above one indicates the system made more than it lost over the evaluated period. Enter the sum of the gains and the sum of the losses.
Portfolio Beta
Calculates the beta of a two-asset portfolio, the average of the individual betas weighted by each asset's share of the total invested. Beta measures the portfolio's sensitivity to market movements: above one it swings more than the index, below one, less. Enter the weights and the betas of the two assets.
Tetranacci Number
Calculates the n-th Tetranacci number, the sequence starting from 0, 0, 0, 1 in which each term is the sum of the four preceding ones: 1, 2, 4, 8, 15, 29, 56, and so on. It is the four-step generalization of the Fibonacci sequence. Enter the index n.
Legendre's Formula (Prime Exponent in a Factorial)
Calculates, with Legendre's formula, the exponent with which a prime number appears in the factorization of n factorial, by summing the integer parts of n divided by p, by p squared, by p cubed, and so on. It tells how many times the prime divides the factorial without computing it. Enter n and the prime p.
Child-Langmuir Law
Calculates the space-charge-limited current density by the Child-Langmuir law, which grows with the three-halves power of the voltage and falls with the square of the gap between the electrodes. It describes the current limit in vacuum diodes and electron guns. Enter the applied voltage and the electrode spacing.
Chandrasekhar Mass
Calculates the Chandrasekhar mass, the maximum mass a white dwarf supported by electron degeneracy pressure can have before collapsing, about 5.83 solar masses divided by the square of the molecular weight per electron. Above this limit the star becomes a supernova or a neutron star. Enter the mean molecular weight per electron.
Gibbs-Helmholtz Equation
Calculates the Gibbs free energy of a reaction at a new temperature with the integrated form of the Gibbs-Helmholtz equation, assuming constant enthalpy over the interval. It lets you predict how a process's spontaneity changes when the system is heated or cooled. Enter the initial free energy and temperature, the enthalpy, and the final temperature.
Hanes-Woolf Coordinate
Calculates the Hanes-Woolf coordinate, the ratio of substrate concentration to reaction velocity, equal to the sum of the Michaelis constant and the concentration divided by the maximum velocity. It is the most robust linearization of enzyme kinetics for estimating an enzyme's parameters. Enter the maximum velocity, the Michaelis constant, and the substrate concentration.
Hodges Corrected QT
Calculates the QT interval corrected by the Hodges formula, which adjusts the measured QT by adding a linear correction proportional to how much the heart rate exceeds sixty beats per minute. It is one of the alternatives to Bazett's formula, more stable at extreme rates. Enter the QT interval and the heart rate.
Simplified Bernoulli Pressure Gradient
Calculates the pressure gradient across a valve or stenosis with the simplified Bernoulli equation used in echocardiography, four times the square of the peak blood jet velocity. It is how the severity of a cardiac obstruction is estimated without catheterization. Enter the peak jet velocity in meters per second.
Geometric Mean Return
Calculates the geometric mean return of a series of periods, the constant rate that, compounded each period, leads to the same accumulated result as the observed returns. Unlike the simple average, it respects the effect of compounding and never overstates the gain. Enter the percentage returns of three periods.
Holding Period Return
Calculates the holding period return of an investment, the total gain over the interval, by adding the price appreciation and the income received and dividing by the value invested at the start. It is the most direct measure of an asset's performance between two points in time. Enter the initial value, the final value, and the income received.
Chebyshev Polynomial
Calculates the value of the Chebyshev polynomial of the first kind of degree n at a point x, generated by the recurrence relation starting from one and x. These polynomials minimize the maximum approximation error and underpin Chebyshev filters and integration. Enter the degree n and the point x.
Hermite Polynomial
Calculates the value of the Hermite polynomial, in the physicists' convention, of degree n at a point x, obtained by its characteristic recurrence relation. These polynomials describe the wave functions of the quantum harmonic oscillator and appear in statistics and probability theory. Enter the degree n and the point x.
Speed of Sound in an Ideal Gas
Calculates the speed of sound in an ideal gas with the Newton-Laplace formula, the root of the product of the adiabatic index, the gas constant, and the temperature, divided by the molar mass. It shows why sound travels faster in light and hot gases. Enter the adiabatic index, the temperature, and the molar mass.
Landé g-Factor
Calculates the Landé g-factor of an atomic level from the total, orbital, and spin angular-momentum quantum numbers. It determines how much the energy levels split in the presence of a magnetic field in the Zeeman effect. Enter the quantum numbers J, L, and S.
Eadie-Hofstee Coordinate
Calculates the Eadie-Hofstee coordinate, the ratio of reaction velocity to substrate concentration, equal to the maximum velocity divided by the sum of the Michaelis constant and the concentration. It is the horizontal axis of the plot that linearizes enzyme kinetics with great sensitivity to deviations. Enter the maximum velocity, the Michaelis constant, and the substrate concentration.
Kapustinskii Lattice Energy
Calculates the lattice energy of an ionic crystal with the empirical Kapustinskii equation, which dispenses with the Madelung constant and the crystal structure, using only the number of ions, their charges, and the interionic distance. It is the practical way to estimate lattice energy when the crystal geometry is unknown. Enter the number of ions in the formula, the ion charges, and the interionic distance.
Gorlin Valve Area
Calculates the area of a heart valve with the Gorlin equation, the flow through the valve divided by the product of the hemodynamic constant and the root of the mean pressure gradient. It is the reference calculation for grading the severity of a valve stenosis during catheterization. Enter the flow through the valve and the mean pressure gradient.
Urinary Creatinine Clearance
Calculates creatinine clearance from a urine collection, the product of urine creatinine and the collected volume divided by the product of plasma creatinine and the collection time. It is the direct measure of the glomerular filtration rate from a twenty-four-hour urine sample. Enter the urine creatinine, the volume, the plasma creatinine, and the collection time.
Modified Duration
Calculates the modified duration of a fixed-income bond, the Macaulay duration adjusted by the periodic interest rate, which measures by what percentage the bond's price falls when the yield rises one percentage point. It is the main measure of a bond's sensitivity to interest-rate risk. Enter the Macaulay duration, the yield, and the number of payments per year.
Days Cash on Hand
Calculates a company's days cash on hand, how many days it can keep operating using only its current cash, by dividing the cash by the daily operating expenses. It is a quick indicator of financial runway widely used in liquidity and solvency analysis. Enter the available cash and the annual operating expenses.
Legendre Polynomial
Calculates the value of the Legendre polynomial of degree n at a point x, generated by Bonnet's recurrence relation starting from one and x. These polynomials form the basis of spherical-harmonic expansions and appear in electrostatics and quantum mechanics. Enter the degree n and the point x.
Genocchi Number
Calculates the n-th Genocchi number, a sequence of integers linked to the Bernoulli numbers by a relation involving powers of two. It appears in number theory, combinatorics, and the counting of alternating permutations. Enter the index n.
Stagnation Temperature
Calculates the stagnation temperature of a compressible flow, the temperature the gas would reach if it were adiabatically brought to rest, by adding to the static temperature the heating due to the flow's kinetic energy. It is essential in aerodynamics and in the design of turbines and supersonic aircraft. Enter the static temperature, the adiabatic index, and the Mach number.
Compton Wavelength
Calculates the Compton wavelength of a particle, Planck's constant divided by the product of the particle's mass and the speed of light. It marks the scale at which relativistic quantum effects become important and appears in the scattering of photons by matter. Enter the particle's mass.
First-Order Reaction Half-Life
Calculates the half-life of a first-order reaction, the time needed for half of the reactant to be consumed, equal to the natural logarithm of two divided by the rate constant. Unlike other orders, it does not depend on the reactant's initial concentration. Enter the reaction's rate constant.
Moseley's Law
Calculates the frequency of an element's K-alpha X-ray line by Moseley's law, proportional to the square of the atomic number minus one. It was the discovery that established the atomic number, not the mass, as the true basis for organizing the periodic table. Enter the element's atomic number.
Estimated Average Glucose from HbA1c
Calculates the estimated average glucose from glycated hemoglobin, a linear relationship that translates the HbA1c value, which reflects the last three months, into an equivalent glucose average in milligrams per deciliter. It helps patients understand the test in the same unit as their everyday glucose meter. Enter the glycated hemoglobin value as a percentage.
Maddrey Discriminant Function
Calculates the Maddrey discriminant function, a prognostic index for alcoholic hepatitis that combines the prolongation of the prothrombin time with the total bilirubin. A value equal to or greater than thirty-two indicates severe disease and guides the decision to treat with corticosteroids. Enter the patient's prothrombin time, the control's, and the total bilirubin.
Fixed Charge Coverage Ratio
Calculates a company's fixed charge coverage ratio, how many times the operating income plus the fixed charges covers the total of those charges plus interest. It is a solvency measure that lenders use to assess the ability to meet fixed commitments such as rents and leases. Enter the operating income, the fixed charges, and the interest expense.
Plowback Ratio
Calculates the plowback ratio, the fraction of net income that the company reinvests instead of distributing as dividends. It is the complement of the payout ratio and a central driver of a company's sustainable growth. Enter the net income and the dividends paid.
Laguerre Polynomial
Calculates the value of the Laguerre polynomial of degree n at a point x, generated by the recurrence relation starting from one and one minus x. These polynomials describe the radial part of the hydrogen atom's wave functions and appear in Gauss-Laguerre numerical integration. Enter the degree n and the point x.
Bernoulli Number
Calculates the n-th Bernoulli number, a sequence of rational numbers fundamental in number theory, which arises in the formulas for sums of powers of integers and in the Riemann zeta function. Note that Bernoulli numbers of odd index greater than one are zero. Enter the index n.
Nuclear Magnetic Moment
Calculates the magnetic moment of an atomic nucleus, the product of its nuclear g-factor, the nuclear magneton, and the spin quantum number. It is the quantity that determines the strength of each isotope's nuclear magnetic resonance signal. Enter the nuclear g-factor and the nucleus's spin.
Brunt-Väisälä Frequency
Calculates the Brunt-Väisälä frequency, the frequency at which a parcel of fluid oscillates vertically when displaced in a stably stratified medium, such as the atmosphere or the ocean. The higher it is, the more stable the stratification and the more it resists convection. Enter the gravity, the potential temperature, and its vertical gradient.
Temkin Adsorption Isotherm
Calculates the amount adsorbed in the Temkin isotherm, an adsorption model that assumes the heat of adsorption of molecules decreases linearly with the surface coverage. It is widely used in systems with strong adsorbate-adsorbent interactions. Enter the temperature, the Temkin constant, the binding constant, and the equilibrium concentration.
Hildebrand Solubility Parameter
Calculates the Hildebrand solubility parameter of a liquid, the root of the cohesive energy density, obtained from the enthalpy of vaporization and the molar volume. Substances with similar parameters tend to be miscible, following the rule that like dissolves like. Enter the enthalpy of vaporization, the temperature, and the molar volume.
Friedewald LDL Cholesterol
Calculates LDL cholesterol with the Friedewald formula, by subtracting from total cholesterol the HDL and one fifth of the triglycerides. It is the classic way to estimate LDL in the lipid panel without measuring it directly, valid when triglycerides are below four hundred milligrams per deciliter. Enter the total cholesterol, the HDL, and the triglycerides.
Maximum Allowable Blood Loss
Calculates the maximum allowable blood loss in a surgery, the volume of blood the patient can lose before reaching the minimum acceptable hematocrit, from the estimated blood volume. It is a fundamental parameter in anesthetic planning and the decision to transfuse. Enter the estimated blood volume, the initial hematocrit, and the acceptable final hematocrit.
Degree of Combined Leverage
Calculates a company's degree of combined leverage, the contribution margin divided by earnings before interest and tax minus the interest expense. It measures how a change in sales amplifies the change in earnings per share, combining the effects of operating and financial leverage. Enter the contribution margin, the fixed costs, and the interest expense.
Tax-Equivalent Yield
Calculates the tax-equivalent yield of a tax-free bond, the rate a taxable investment would need to earn to match the after-tax return of the tax-free one. It allows a fair comparison between tax-free securities and taxable ones. Enter the tax-free bond's yield and the tax rate.
Chebyshev Polynomial of the Second Kind
Calculates the value of the Chebyshev polynomial of the second kind of degree n at a point x, generated by the same recurrence as the first kind, but starting from one and twice x. They appear in approximation theory and Gauss-Chebyshev quadrature. Enter the degree n and the point x.
Euler Numbers (Secant)
Calculates the n-th Euler number, also called the secant number, a sequence of integers that arises in the series expansion of the hyperbolic secant function and in counting alternating permutations. Those of odd index are zero. Enter the index n.
Gravitational Redshift
Calculates the gravitational redshift in the weak-field approximation, how much light loses energy as it escapes a body's gravitational field, proportional to its mass divided by the radius and the square of the speed of light. It was one of the first observational confirmations of general relativity. Enter the body's mass and the emission radius.
Hydrogen-Like Ion Ionization Energy
Calculates the ionization energy of a hydrogen-like ion, one that has a single electron, by the Bohr model: thirteen point six electronvolts times the square of the atomic number divided by the square of the principal quantum number. It explains why ions such as singly ionized helium bind the electron far more strongly. Enter the atomic number and the principal quantum number.
Isothermal Gas Expansion Work
Calculates the work done by an ideal gas in a reversible isothermal expansion, the product of the number of moles, the gas constant, and the temperature times the natural logarithm of the ratio of the volumes, with a negative sign in the system convention. It is a central calculation in the thermodynamics of constant-temperature processes. Enter the moles, the temperature, and the initial and final volumes.
Wobbe Index
Calculates the Wobbe index of a gaseous fuel, the higher heating value divided by the root of the density relative to air. Two gases with the same Wobbe index deliver the same power in a burner, which makes it the key measure of gas interchangeability. Enter the higher heating value and the relative density to air.
Absolute Eosinophil Count
Calculates the absolute eosinophil count in the blood, the product of the total leukocyte count and the eosinophil percentage from the blood count. It is the value that guides the investigation of allergies, parasitic infections, and hematological diseases, more informative than the percentage alone. Enter the leukocyte count and the eosinophil percentage.
Mentzer Index
Calculates the Mentzer index, the ratio of the mean corpuscular volume to the red blood cell count, used to distinguish the two most common causes of microcytic anemia. A value below thirteen suggests thalassemia, and above thirteen, iron deficiency. Enter the mean corpuscular volume and the red blood cell count.
Sinking Fund Factor
Calculates the sinking fund factor, the fraction that must be saved each period, at a given interest rate, to accumulate one unit of capital by the end of a number of periods. It is the basis for sizing reserves that will pay off a debt or replace an asset in the future. Enter the interest rate per period and the number of periods.
After-Tax Cost of Debt
Calculates a company's after-tax cost of debt, the nominal interest rate multiplied by one minus the tax rate, reflecting the tax savings generated by the deductibility of interest. It is the debt component used in computing the weighted average cost of capital. Enter the nominal cost of debt and the tax rate.
Jacobi Symbol
Calculates the Jacobi symbol of an integer with respect to an odd positive modulus, a generalization of the Legendre symbol that equals minus one, zero, or one. It is computed by quadratic reciprocity and is an important piece in primality tests and cryptography. Enter the numerator and the odd modulus.
Radical of an Integer
Calculates the radical of an integer, the product of its distinct prime factors, ignoring the multiplicities. It appears in the abc conjecture and in squarefree-number problems in number theory. Enter the integer.
Specific Impulse
Calculates the specific impulse of a rocket engine, the thrust divided by the product of the propellant mass flow rate and standard gravity. It measures how efficiently the engine converts fuel mass into impulse, expressed in seconds. Enter the thrust and the propellant mass flow rate.
Main-Sequence Lifetime
Calculates a star's lifetime on the main sequence, estimated as ten billion years times the mass in solar masses raised to minus two and a half. It shows why massive stars burn their fuel far faster than the Sun. Enter the star's mass in solar masses.
Gibbs Phase Rule
Calculates the degrees of freedom of a system in equilibrium by the Gibbs phase rule, the number of components minus the number of phases plus two. It tells how many intensive variables, such as temperature and pressure, can vary without changing the number of coexisting phases. Enter the number of components and the number of phases.
Critical Compressibility Factor
Calculates the compressibility factor at a substance's critical point, the product of the critical pressure and the critical molar volume divided by the gas constant times the critical temperature. For most real gases it stays close to zero point two seven, and how far it departs indicates the deviation from ideal behavior. Enter the critical pressure, molar volume, and temperature.
Fractional Excretion of Urea
Calculates the fractional excretion of urea, the percentage of urea filtered by the kidneys that ends up eliminated in the urine, by comparing the urea and creatinine concentrations in plasma and urine. It helps distinguish pre-renal from renal causes of acute kidney injury, especially in patients on diuretics. Enter the urine urea, the plasma creatinine, the plasma urea, and the urine creatinine.
Urine Anion Gap
Calculates the urine anion gap, the sum of sodium and potassium minus chloride measured in the urine. It is used to investigate the cause of a hyperchloremic metabolic acidosis: a negative value points to gastrointestinal loss, and a positive one to a renal origin. Enter the urine sodium, potassium, and chloride.
Cost of Preferred Stock
Calculates a company's cost of preferred stock, the fixed annual dividend paid per share divided by its market price. It represents the return required by preferred shareholders and feeds into the weighted average cost of capital. Enter the annual dividend per share and the share price.
Total Asset Turnover
Calculates the total asset turnover, the net revenue divided by total assets, which shows how many times the company turns its assets into sales over the period. The higher the ratio, the more efficiently assets are used to generate revenue. Enter the revenue and the total assets.
Multiplicative Order
Calculates the multiplicative order of an integer modulo n, the smallest positive exponent that raises the number to a remainder equal to one in modular arithmetic. It is a central concept in group theory and public-key cryptography. Enter the base and the modulus.
Big Omega (Prime Factors with Multiplicity)
Calculates the total number of prime factors of an integer counting multiplicities, the big omega function from number theory. Unlike the little omega function, it counts each prime as many times as it appears in the factorization. Enter the integer.
Hubble Time
Calculates the Hubble time, the inverse of the Hubble constant, a first-order estimate of the age of the universe assuming expansion at a constant rate. For the current values of the constant, it yields about fourteen billion years. Enter the Hubble constant in kilometers per second per megaparsec.
Capacitive Reactance
Calculates the capacitive reactance of a capacitor in an alternating-current circuit, the inverse of the product of two pi, the frequency, and the capacitance. It decreases with frequency, making the capacitor oppose fast signals less. Enter the frequency and the capacitance.
Bunsen Solubility Coefficient
Calculates the Bunsen solubility coefficient of a gas, the volume of gas, reduced to standard conditions, that dissolves in one volume of liquid at a partial pressure of one atmosphere. It is obtained by multiplying the molar solubility by the molar volume at standard conditions. Enter the gas's molar solubility at a pressure of one atmosphere.
Pitzer Acentric Factor
Calculates the Pitzer acentric factor of a substance, minus the logarithm of the reduced vapor pressure at the reduced temperature of zero point seven, minus one. It measures the molecule's departure from the sphericity of noble gases and refines the equations of state for real gases. Enter the vapor pressure at that temperature and the critical pressure.
Remnant Cholesterol
Calculates the remnant cholesterol, the cholesterol carried by triglyceride-rich lipoproteins, obtained by subtracting HDL and LDL from total cholesterol. It is a cardiovascular risk marker that complements LDL in evaluating the lipid panel. Enter the total cholesterol, the HDL, and the LDL.
Calcium-Phosphate Product
Calculates the calcium-phosphate product, the multiplication of the serum calcium and phosphorus concentrations. It is a marker of the risk of vascular and soft-tissue calcification in chronic kidney disease, considered high above fifty-five. Enter the serum calcium and phosphorus.
Single Payment Present Worth Factor
Calculates the single payment present worth factor, how much an amount to be received in the future is worth today, discounted at an interest rate over a number of periods. It is the basic building block of discounted cash flow analysis in engineering economics. Enter the interest rate per period and the number of periods.
Capitalization Ratio
Calculates a company's capitalization ratio, the debt divided by the sum of debt and equity, expressed as a percentage. It shows what slice of the capital structure is financed by debt, a key indicator of leverage and financial risk. Enter the debt and the equity.
Carmichael Function
Calculates the Carmichael function of a number, the smallest exponent that makes every power of any integer coprime to the modulus congruent to one. It is a refinement of Euler's theorem and plays a central role in RSA cryptography. Enter the integer.
Chinese Remainder Theorem
Solves a system of two congruences by the Chinese remainder theorem, finding the unique value, modulo the product of the coprime moduli, that satisfies both at once. It underpins fast arithmetic algorithms and modern cryptography. Enter the two remainders and the two coprime moduli.
RLC Series Impedance
Calculates the impedance of a series RLC circuit, the root of the sum of the square of the resistance and the square of the difference between the inductive and capacitive reactances. It is the total opposition the circuit offers to an alternating current of a given frequency. Enter the resistance, the inductance, the capacitance, and the frequency.
Heat Pump Coefficient of Performance
Calculates the maximum coefficient of performance of a heat pump, in the ideal Carnot limit, the hot-source temperature divided by the difference between the hot and cold temperatures, in kelvin. It tells how much heat the pump delivers per unit of work consumed. Enter the hot-source and cold-source temperatures.
van der Waals Critical Temperature
Calculates the critical temperature of a substance from the a and b constants of the van der Waals equation, eight times a divided by twenty-seven times the gas constant and b. Above it the gas can no longer be liquefied by simple compression. Enter the van der Waals constants a and b.
van der Waals Critical Pressure
Calculates the critical pressure of a substance from the constants of the van der Waals equation, the constant a divided by twenty-seven times the square of b. It is the minimum pressure needed to liquefy the gas at its critical temperature. Enter the van der Waals constants a and b.
Triglyceride to HDL Ratio
Calculates the ratio between triglycerides and HDL cholesterol, a simple marker of insulin resistance and cardiovascular risk obtained directly from the lipid panel. Values above three and a half usually indicate an atherogenic profile. Enter the triglycerides and the HDL.
pH-Corrected Potassium
Calculates the serum potassium corrected for pH, adjusting the reading to what it would be at normal pH, since acidosis shifts potassium out of cells and can mask a real depletion. For each tenth of a drop in pH, about zero point six is added to the measured potassium. Enter the measured potassium and the blood pH.
Single Payment Compound Amount Factor
Calculates the single payment compound amount factor, how much a sum invested today will be worth in the future after compounding at an interest rate over a number of periods. It is the basic compound interest multiplier in engineering economics. Enter the interest rate per period and the number of periods.
Operating Cash Flow Ratio
Calculates the operating cash flow ratio, the cash generated by operations divided by current liabilities. It shows how many times the company can cover its short-term obligations with just the cash it produces, a stricter liquidity indicator than the current ratio. Enter the operating cash flow and the current liabilities.
Cubic Equation Discriminant
Calculates the discriminant of a cubic equation from its four coefficients. The sign of the discriminant reveals the nature of the roots: positive indicates three distinct real roots, negative one real and two complex, and zero at least one repeated root. Enter the coefficients a, b, c, and d.
Gauss Circle Lattice Points
Counts the integer-coordinate points that lie inside or on a circle of a given radius centered at the origin, the classic Gauss circle problem. The number approaches the area of the circle as the radius grows, with an error that still intrigues mathematicians. Enter the radius of the circle.
Adiabatic Process Pressure
Calculates the final pressure of an ideal gas in an adiabatic transformation, where there is no heat exchange, from the initial pressure and the ratio of the volumes raised to the adiabatic index. It describes the rapid compression in engines and pumps. Enter the initial pressure, the initial and final volumes, and the adiabatic index.
Decibel Gain
Calculates the voltage gain in decibels of a circuit or amplifier, twenty times the logarithm of the ratio between the output and input voltages. The logarithmic scale compresses large variations and is the standard for expressing gains in electronics and audio. Enter the output and input voltages.
Boyle Temperature
Calculates the Boyle temperature of a real gas from the a and b constants of the van der Waals equation, the constant a divided by the gas constant and by b. At this temperature the gas behaves ideally over a wide range of pressures, as the attractive and repulsive effects cancel. Enter the van der Waals constants a and b.
Raoult Vapor Pressure Lowering
Calculates the lowering of a solvent's vapor pressure when a non-volatile solute is dissolved, by Raoult's law, the product of the solute's mole fraction and the pure solvent's vapor pressure. It is one of the colligative properties, which depend only on the amount of dissolved particles. Enter the solute's mole fraction and the pure solvent's vapor pressure.
Modified Shock Index
Calculates the modified shock index, the heart rate divided by the mean arterial pressure. It is an early marker of hemodynamic instability more sensitive than the classic shock index, with values above one point three indicating increased risk. Enter the heart rate and the mean arterial pressure.
Fractional Shortening
Calculates the left ventricular fractional shortening, the difference between the diastolic and systolic diameters divided by the diastolic diameter, as a percentage. It is a simple measure of the heart's contractile function obtained on the echocardiogram, with normal values between twenty-five and forty-five percent. Enter the diastolic and systolic diameters.
Working Capital Turnover
Calculates the working capital turnover, the net revenue divided by the company's working capital. It shows how many dollars of sales are generated for each dollar invested in working capital, an indicator of operating efficiency. Enter the revenue and the working capital.
Free Cash Flow Yield
Calculates the free cash flow yield, the free cash flow divided by the company's market value, as a percentage. It is a valuation measure showing how much cash the company generates relative to its price, preferred by many investors over accounting earnings. Enter the free cash flow and the market value.
Liouville Function
Calculates the Liouville function of a number, which equals plus one if the number has an even count of prime factors with multiplicity, and minus one if odd. It is a multiplicative function fundamental in number theory, connected to the Riemann hypothesis. Enter the integer.
Law of Cosines Angle
Calculates an internal angle of a triangle from the lengths of its three sides, by the law of cosines. It returns the angle opposite the third side, in degrees, valid for any triangle, not just right ones. Enter the three sides, with the third opposite the sought angle.
Poynting Vector
Calculates the magnitude of the Poynting vector of an electromagnetic wave, the product of the electric and magnetic field amplitudes divided by the vacuum permeability. It represents the energy flux per unit area carried by the wave. Enter the amplitudes of the electric and magnetic fields.
Capacitor Charging Voltage
Calculates the voltage across a capacitor during charging in an RC circuit, the source voltage times one minus the exponential of the negative time divided by the time constant. It describes how the capacitor gradually charges until it reaches the source voltage. Enter the source voltage, the resistance, the capacitance, and the time.
Ostwald Solubility Coefficient
Calculates the Ostwald solubility coefficient of a gas, the volume of dissolved gas per volume of liquid at the measurement temperature, obtained from the Bunsen coefficient multiplied by the ratio of the temperature to two hundred seventy-three kelvin. It is widely used in respiratory physiology and gas chemistry. Enter the Bunsen coefficient and the temperature.
Nernst-Einstein Ionic Diffusivity
Calculates the diffusion coefficient of an ion by the Nernst-Einstein relation, from its molar conductivity, charge, and temperature. It links the ion's electrical mobility to its thermal diffusion, uniting electrochemistry and mass transport. Enter the ionic molar conductivity, the charge, and the temperature.
Shine and Lal Index
Calculates the Shine and Lal index, the square of the mean corpuscular volume multiplied by the mean corpuscular hemoglobin and divided by one hundred. It is used to differentiate thalassemia minor from iron deficiency anemia, with low values suggesting thalassemia. Enter the mean corpuscular volume and the mean corpuscular hemoglobin.
Mean Airway Pressure
Calculates the mean airway pressure during mechanical ventilation, the weighted average of the peak inspiratory pressure and the end-expiratory pressure by their respective inspiratory and expiratory times. It is an important determinant of the patient's oxygenation in intensive care. Enter the inspiratory pressure, the inspiratory time, the PEEP, and the expiratory time.
Arithmetic Gradient Present Worth
Calculates the present worth of a series of payments that grow linearly each period, the so-called arithmetic gradient series, discounted at an interest rate. It is used in engineering economics for cash flows that increase steadily, such as rising maintenance costs. Enter the gradient, the interest rate, and the number of periods.
Long-Term Debt to Capitalization
Calculates the ratio of long-term debt to the company's total capitalization, the long-term debt divided by its sum with equity, as a percentage. It measures the reliance on long-term financing in the capital structure. Enter the long-term debt and the equity.
Jordan Totient
Calculates the Jordan totient of order k of a number, a generalization of Euler's totient function that counts the k-tuples of integers that, together with the number, are coprime. For order one it coincides with Euler's totient. Enter the number and the order k.
von Mangoldt Function
Calculates the von Mangoldt function of a number, which equals the natural logarithm of a prime when the number is a power of that prime, and zero otherwise. It is a central function in analytic number theory and the distribution of prime numbers. Enter the integer.
Magnetic Field of a Straight Wire
Calculates the strength of the magnetic field created by a long straight wire carrying a current, the vacuum permeability times the current divided by two pi and the distance to the wire. It is the classic application of Ampère's law. Enter the current and the distance to the wire.
Magnetic Dipole Moment
Calculates the magnetic dipole moment of a current loop or coil, the product of the number of turns, the current, and the enclosed area. It measures the strength of the equivalent magnet formed by the current and sets the torque the coil experiences inside a magnetic field. Enter the number of turns, the current, and the area.
Watson Correlation for Enthalpy of Vaporization
Calculates the enthalpy of vaporization of a liquid at a new temperature with the Watson correlation, from a known value at another temperature and the critical temperature, raising the ratio of the reduced temperatures to the exponent zero point thirty-eight. Enter the known enthalpy, its temperature, the new temperature, and the critical temperature.
Dilution Law (C1V1 = C2V2)
Calculates the final concentration of a solution after dilution by the dilution law, in which the product of concentration and volume is conserved. It is the basic formula for preparing diluted solutions from a stock solution in the laboratory. Enter the initial concentration, the initial volume, and the final volume.
Green and King Index
Calculates the Green and King index, the square of the mean corpuscular volume multiplied by the red cell distribution width and divided by the product of hemoglobin and one hundred. It is used to distinguish thalassemia minor from iron deficiency anemia from the blood count. Enter the mean corpuscular volume, the distribution width, and the hemoglobin.
Absolute Reticulocyte Count
Calculates the absolute reticulocyte count, the reticulocyte percentage multiplied by the red blood cell count. Unlike the percentage alone, it reveals the true bone marrow response to anemia, distinguishing regenerative from hypoproliferative anemias. Enter the reticulocyte percentage and the red blood cell count.
Black-Scholes d1 Parameter
Calculates the d1 parameter of the Black-Scholes model, used in option pricing, which combines the ratio of the asset price to the strike price with the interest rate, volatility, and time to expiration. The cumulative normal distribution of d1 gives a call option's delta. Enter the spot price, the strike price, the risk-free rate, the volatility, and the time.
Black-Scholes d2 Parameter
Calculates the d2 parameter of the Black-Scholes model, equal to d1 minus the volatility times the square root of time. Its cumulative normal distribution represents the risk-neutral probability that the option will be exercised at expiration. Enter the spot price, the strike price, the risk-free rate, the volatility, and the time.
Hamming Weight (Popcount)
Calculates the Hamming weight of an integer, the number of bits equal to one in its binary representation. It is a fundamental operation in computing, cryptography, and the theory of error-correcting codes. Enter the integer.
Confidence Interval Margin of Error
Calculates the margin of error of a confidence interval for the mean, the critical value times the standard deviation divided by the square root of the sample size. It defines the precision of the estimate: the larger the sample, the smaller the margin. Enter the critical value, the standard deviation, and the sample size.
Magnetic Field at the Center of a Loop
Calculates the magnetic field at the center of a circular current loop, the vacuum permeability times the number of turns and the current, divided by twice the radius. It is the basis of how electromagnets and coils work. Enter the number of turns, the current, and the loop radius.
Bulk Modulus
Calculates the bulk modulus of a material, the ratio between the applied pressure increase and the fraction of volume reduction it causes. It measures a material's resistance to uniform compression, being huge in liquids and solids. Enter the pressure change, the initial volume, and the volume change.
Standard Cell Potential
Calculates the standard potential of an electrochemical cell, the difference between the cathode's reduction potential and the anode's. A positive value indicates the cell reaction is spontaneous and generates electric current. Enter the standard reduction potentials of the cathode and the anode.
VSEPR Steric Number
Calculates the steric number of a central atom by VSEPR theory, the sum of the number of atoms bonded to it and the number of lone electron pairs. It is the number that defines the molecular geometry, separating linear, trigonal, tetrahedral, and other shapes. Enter the number of bonded atoms and the number of lone pairs.
Bishop Score
Calculates the Bishop score, the sum of the scores of five characteristics of the cervix: dilation, effacement, station, consistency, and position. It is used to assess whether the cervix is favorable for labor induction, with high values indicating a greater chance of success. Enter the score of each of the five components.
Boyd Body Surface Area
Calculates the body surface area with the Boyd formula, one of the most accurate over a wide range of weights, in which the weight exponent varies with the weight itself. It is used to calculate medication doses, especially in oncology and pediatrics. Enter the height in centimeters and the weight in kilograms.
Margin Call Price
Calculates the price at which a margin call occurs on a leveraged purchase, the purchase price times one minus the initial margin over one minus the maintenance margin. Below this price the investor must deposit more collateral or liquidate the position. Enter the purchase price, the initial margin, and the maintenance margin.
Trading Expectancy
Calculates the mathematical expectancy of a trading strategy, the average gain weighted by the win rate minus the average loss weighted by the loss rate. It is the expected profit per trade and the number that decides whether a trading system is profitable in the long run. Enter the win rate, the average gain, and the average loss.
Lambert W Function
Calculates the Lambert W function, the inverse of x times the exponential of x, which solves equations where the unknown appears both in the base and the exponent. It appears in population growth models, chemical kinetics, and quantum physics. Enter the value of x, greater than or equal to minus one over e.
Beta Function
Calculates the beta function of two arguments, defined as the product of the gamma functions of each argument divided by the gamma function of their sum. It is a special function fundamental in computing integrals, in statistics, and in the beta distribution. Enter the two positive arguments.
Buoyant Force
Calculates the buoyant force on a submerged body by Archimedes' principle, the product of the fluid's density, gravity, and the displaced volume. It is the force that makes bodies float or appear lighter inside a liquid. Enter the fluid density and the displaced volume.
Surface Tension Force
Calculates the force due to surface tension along a contact line, the product of the liquid's surface tension and the length of the line. It is what holds insects on water and governs the formation of droplets and bubbles. Enter the surface tension and the length of the contact line.
Mayer's Relation
Calculates the molar heat capacity at constant pressure of an ideal gas by Mayer's relation, adding the universal gas constant to the heat capacity at constant volume. The difference between the two reflects the gas's expansion work when heated at constant pressure. Enter the molar heat capacity at constant volume.
Percent Ionization
Calculates the percent ionization of a weak acid in the low-dissociation approximation, the root of the ratio between the ionization constant and the concentration, multiplied by one hundred. It shows that weak acids ionize proportionally more the more diluted they are. Enter the ionization constant and the acid concentration.
Attributable Risk
Calculates the attributable risk, the difference between the incidence of a disease in the exposed group and in the unexposed group to a factor. It measures how much of the risk can be attributed directly to the exposure, being the basis of many public health decisions. Enter the incidence in the exposed and the unexposed.
Certain Safety Factor
Calculates the certain safety factor of a drug, the ratio between the dose toxic to one percent of the population and the dose effective in ninety-nine percent. It is a stricter measure than the therapeutic index, since it considers the tails of the dose-response curves. Enter the dose toxic to one percent and the dose effective in ninety-nine percent.
Option Gamma
Calculates an option's gamma by the Black-Scholes model, the rate of change of delta with respect to the asset price, the normal density of d1 divided by the product of the price, the volatility, and the square root of time. It measures the curvature of the option price and the speed at which the hedge must be redone. Enter the spot price, the strike price, the risk-free rate, the volatility, and the time.
Expected Credit Loss
Calculates the expected credit loss, the product of the probability of default, the loss given default, and the exposure at default. It is the backbone of bank provisions and the Basel credit-risk models. Enter the probability of default, the loss given default, and the exposure.
Dilogarithm (Spence Function)
Calculates the dilogarithm, or Spence function, the sum of the series of the values of x raised to k divided by k squared. It is the order-two case of the polylogarithm and appears in theoretical physics and the evaluation of difficult integrals. Enter the value of x, between minus one and one.
Exponential Integral
Calculates the exponential integral of a positive number, a special function defined by the integral of the exponential over its argument. It appears in radiative transport physics, number theory, and heat diffusion problems. Enter the positive value of x.
Center of Mass of Two Bodies
Calculates the position of the center of mass of a two-body system, the average of the positions weighted by their respective masses. It is the point that moves as if all the system's mass were concentrated there. Enter the masses and positions of the two bodies.
Elastic Collision Final Velocity
Calculates the final velocity of the first body after a one-dimensional elastic collision, in which both linear momentum and kinetic energy are conserved. The formula combines the masses and initial velocities of the two bodies. Enter the masses and initial velocities of the two bodies.
Flory-Huggins Parameter
Calculates the Flory-Huggins interaction parameter between a polymer and a solvent, from the molar volume and the square of the difference of the solubility parameters divided by the thermal energy. Low values indicate good miscibility between the two substances. Enter the molar volume, the two solubility parameters, and the temperature.
Ester Value
Calculates the ester value of an oil or fat, the difference between the saponification value and the acid value, in milligrams of potassium hydroxide per gram. It represents the portion of fatty acids esterified in the form of glycerides. Enter the saponification value and the acid value.
Standardized Mortality Ratio
Calculates the standardized mortality ratio, the number of deaths observed in a group divided by the number expected based on a reference population, expressed as a percentage. A value above one hundred indicates excess mortality in the studied population. Enter the number of observed and expected deaths.
Hazard Ratio
Calculates the hazard ratio, the ratio between the event rate in the treatment group and the control group in a survival analysis. A value less than one indicates that the treatment reduces the risk of the event over time. Enter the hazard rates of the two groups.
Bank Efficiency Ratio
Calculates a bank's efficiency ratio, the operating expenses divided by revenue, expressed as a percentage. The lower it is, the more efficient the bank is at generating revenue from its costs; values below fifty percent are considered excellent. Enter the operating expenses and the revenue.
Credit Spread
Calculates the credit spread of a bond, the difference between its yield and that of a risk-free bond of the same maturity. It represents the premium the investor demands to take on the issuer's default risk. Enter the corporate bond yield and the risk-free yield.
Cosine Integral
Calculates the cosine integral of a positive number, a special function defined by the integral of the cosine over its argument. It appears in signal processing, diffraction optics, and antenna theory. Enter the positive value of x.
Trigamma Function
Calculates the trigamma function of a number, the second derivative of the logarithm of the gamma function, equal to the sum of the reciprocals of the squares shifted by the argument. It is used in Bayesian statistics and the variance of maximum-likelihood estimators. Enter the positive value of x.
Damped Oscillation Amplitude
Calculates the amplitude of a damped oscillation at an instant, the initial amplitude multiplied by the exponential of the damping term, which depends on the friction coefficient, the mass, and time. It describes how real vibrations lose energy and decrease over time. Enter the initial amplitude, the damping coefficient, the mass, and the time.
Combined Focal Length
Calculates the equivalent focal length of two thin lenses placed together, the product of the focal lengths divided by their sum, by the rule for lenses in contact. It is what defines the magnifying power of coupled lens systems. Enter the focal lengths of the two lenses.
Hydroxyl Value
Calculates the hydroxyl value of a polyol, the milligrams of potassium hydroxide equivalent to the hydroxyl groups of one gram of sample, from the functionality and the molar mass. It is an essential parameter in the formulation of polyurethanes and resins. Enter the number of hydroxyl groups per molecule and the molar mass.
Kuhn Length
Calculates the Kuhn length of a polymer, the ratio between the chain's mean-square end-to-end distance and its contour length. It is the size of the equivalent rigid segment that describes the polymer chain's flexibility. Enter the mean-square end-to-end distance and the contour length.
Population Attributable Fraction
Calculates the population attributable fraction, the proportion of a disease's incidence in the total population that could be eliminated if exposure to a risk factor were removed. It is a central concept in planning public health interventions. Enter the total incidence and the incidence in the unexposed.
Prevented Fraction
Calculates the prevented fraction, the proportion of cases avoided in a group exposed to a protective factor, such as a vaccine, relative to the unexposed. When the factor is a vaccine, it corresponds directly to its efficacy. Enter the incidence in the unexposed and in those exposed to the protective factor.
Loss Given Default
Calculates the loss given default of a credit, the fraction of the exposure the lender actually loses after default, the difference between the exposure and the recovered amount divided by the exposure, as a percentage. It is a central parameter in the Basel credit-risk models. Enter the exposure at default and the recovered amount.
Loan-to-Deposit Ratio
Calculates a bank's loan-to-deposit ratio, the total loans divided by total deposits, as a percentage. It measures liquidity and how much the bank uses deposits to lend; very high values indicate less cash buffer. Enter the total loans and the total deposits.
Dawson Function
Calculates the Dawson function of a number, the exponential of the negative square of x times the integral of the exponential of the square from zero to x. It is related to the error function of an imaginary argument and appears in plasma physics and spectroscopy. Enter the value of x.
Bessel Function of the First Order (J1)
Calculates the Bessel function of the first kind and first order at a point x, a solution of Bessel's differential equation. It describes vibrations of circular membranes, diffraction patterns, and modes in cylindrical waveguides. Enter the value of x.
Helmholtz Resonator Frequency
Calculates the resonance frequency of a Helmholtz resonator, like the sound produced by blowing over a bottle's neck, from the speed of sound, the neck area, the cavity volume, and the neck length. Enter the neck area, the cavity volume, and the neck length.
Einstein Heat Capacity
Calculates the molar heat capacity of a solid by the Einstein model, which treats the atoms as independent quantum oscillators of the same frequency. At low temperatures it drops to zero and at high temperatures it approaches the Dulong-Petit limit. Enter the Einstein temperature and the temperature.
Hammett Equation
Calculates the ratio between the rate constants of a reaction with and without a substituent by the Hammett equation, ten raised to the product of the substituent constant and the reaction constant. It quantifies how substituents on an aromatic ring speed up or slow down a reaction. Enter the substituent constant and the reaction constant.
Molecular Collision Frequency
Calculates the collision frequency of a molecule in a gas by kinetic theory, the product of the root of two, pi, the square of the molecular diameter, the number density, and the mean speed. It tells how many collisions per second a molecule undergoes. Enter the molecular diameter, the number density, and the mean speed.
Maternal Mortality Ratio
Calculates the maternal mortality ratio, the number of maternal deaths divided by the number of live births, multiplied by one hundred thousand. It is one of the main indicators of the quality of a country's health care. Enter the number of maternal deaths and live births.
Incidence Rate per Person-Time
Calculates the incidence rate per person-time, or incidence density, the new cases of a disease divided by the total person-time of observation, per thousand. Unlike cumulative incidence, it accounts for the time each person remained at risk. Enter the new cases and the total person-time.
Basel Leverage Ratio
Calculates the Basel leverage ratio, a bank's Tier 1 capital divided by its total exposure, as a percentage. Unlike the capital ratio, it does not weight assets by risk, acting as a simple backstop against excessive leverage; Basel III requires at least three percent. Enter the Tier 1 capital and the total exposure.
Calmar Ratio
Calculates the Calmar ratio of an investment, the annualized return divided by the largest loss ever recorded, the so-called maximum drawdown. The higher the ratio, the better the return relative to the worst drop of the period; it is widely used to evaluate funds and quantitative strategies. Enter the annualized return and the maximum drawdown, both as percentages.
Trilogarithm (Polylogarithm of Order 3)
Calculates the polylogarithm of order three, or trilogarithm, of a number, the sum of the series of x raised to k divided by k cubed, for k from one to infinity. It is a special function that appears in statistical physics and number theory. Enter the value of x, between minus one and one.
Fresnel Integral S
Calculates the Fresnel integral S of a number, the integral of the sine of pi times t squared over two, from zero to x. It describes the diffraction of light at edges and, together with the C integral, traces the Cornu spiral. Enter the upper limit x.
Decibel Level Addition
Adds two sound levels expressed in decibels, which cannot be summed directly because they are a logarithmic scale. The tool converts each level into intensity, adds them, and converts back to decibels. Two equal sources, for instance, raise the level by about three decibels. Enter the two levels in decibels.
Relativistic Aberration of Light
Calculates the relativistic aberration of light, the apparent angle of a light ray seen by a moving observer, from the angle in the rest frame and the speed as a fraction of the speed of light. It is the effect that concentrates light ahead of a fast traveler. Enter the original angle and the ratio between the speed and that of light.
Two-Point Activation Energy (Arrhenius)
Calculates the activation energy of a reaction by the two-point Arrhenius equation, from two rate constants measured at two temperatures. It is the classic method to obtain the activation energy experimentally, without needing the pre-exponential factor. Enter the two rate constants and the two temperatures in kelvin.
Ionic Transport Number
Calculates the transport number of an ion, the fraction of the electric current in a solution carried by that ion, given by its conductivity divided by the sum of the ions' conductivities. The transport numbers of cation and anion always add up to one. Enter the conductivity of the ion and that of the oppositely charged ion.
Infant Mortality Rate
Calculates the infant mortality rate, the number of deaths of children under one year divided by the number of live births, multiplied by one thousand. It is one of the most sensitive indicators of a population's health and living conditions. Enter the number of infant deaths and live births.
Force of Infection
Calculates the force of infection by the catalytic model, the rate at which susceptible individuals acquire an infection, obtained from the negative natural logarithm of one minus the seroprevalence, divided by the mean age. The higher it is, the more intense the transmission in the population. Enter the seroprevalence, as a fraction, and the mean age.
Debt-to-Capital Ratio
Calculates the debt-to-capital ratio, a company's total debt divided by the sum of total debt and equity, as a percentage. It shows what share of the capital structure comes from debt and helps compare leverage across companies of different sizes. Enter the total debt and the equity.
Price-to-Sales Ratio
Calculates the price-to-sales ratio, a company's market value divided by its net revenue, known by the abbreviation P/S. It is a useful multiple for valuing companies that are not yet profitable, since revenue is rarely negative. Enter the market value and the revenue.
Modified Bessel Function I0
Calculates the modified Bessel function of the first kind and order zero at a point x, a solution of the modified Bessel equation. Unlike the ordinary Bessel functions, it grows monotonically and appears in diffusion, heat conduction, and directional statistics problems. Enter the value of x.
Modified Bessel Function I1
Calculates the modified Bessel function of the first kind and first order at a point x, the derivative of the order-zero function. It appears in electromagnetic fields in coaxial cables, in flows, and in plasma physics. Enter the value of x.
Diffraction Grating Resolving Power
Calculates the resolving power of a diffraction grating, the product of the spectral order and the number of illuminated slits. The higher it is, the better the grating can separate two close wavelengths, such as the lines of a spectrum. Enter the spectral order and the number of illuminated slits.
Telescope Angular Magnification
Calculates the angular magnification of a refracting telescope, the focal length of the objective divided by the focal length of the eyepiece. It is how many times larger the observed object appears than with the naked eye. Swapping the eyepiece for one of shorter focus increases the magnification. Enter the focal length of the objective and that of the eyepiece.
Stokes Ionic Mobility
Calculates the ionic mobility of an ion by Stokes' law, the ion's charge divided by six times pi, the medium's viscosity, and the ionic radius. It is the speed the ion reaches per unit of electric field, assuming it behaves like a sphere dragged through the liquid. Enter the charge, the viscosity, and the ionic radius.
Scatchard Equation
Calculates the ratio of bound to free ligand by the Scatchard equation, the association constant times the difference between the number of sites and the average number of ligands already bound per receptor. It is the basis of the Scatchard plot, used to obtain the affinity and the number of binding sites. Enter the association constant, the number of sites, and the number of ligands bound per receptor.
Proportional Mortality Ratio
Calculates the proportional mortality ratio, the number of deaths from a specific cause divided by the total deaths, as a percentage. It shows the weight of each cause within all the deaths of a population, without depending on the size of that population. Enter the deaths from the cause and the total deaths.
Secondary Attack Rate
Calculates the secondary attack rate, the number of new cases among the contacts of an initial case divided by the total of susceptible contacts, as a percentage. It measures how much a disease spreads within an exposed group, such as a household or a school. Enter the secondary cases and the number of susceptible contacts.
Price-to-Cash-Flow Ratio
Calculates the price-to-cash-flow ratio, a company's market value divided by its operating cash flow. It is a valuation multiple considered harder to manipulate than earnings, since the cash generated is less affected by accounting choices. Enter the market value and the operating cash flow.
Economic Spread (ROIC − WACC)
Calculates the economic spread, the difference between the return on invested capital (ROIC) and the weighted average cost of capital (WACC), in percentage points. When it is positive, the company creates value; when negative, it destroys value by earning less than its capital costs. Enter the ROIC and the WACC.
Langevin Function
Calculates the Langevin function of a number, the hyperbolic cotangent minus the reciprocal of the number. It describes the average magnetization of classical magnetic moments in a field and the polarization of dipoles, being central to the study of paramagnetism. Enter the value of x.
Gudermannian Function
Calculates the Gudermannian function of a number, the arctangent of the hyperbolic sine of that number. It connects the ordinary trigonometric functions to the hyperbolic ones without using complex numbers and appears in the Mercator map projection. Enter the value of x.
Simple Magnifier Magnification
Calculates the angular magnification of a magnifying glass, the twenty-five-centimeter near point of distinct vision divided by the focal length of the lens, with a relaxed eye. The shorter the focal length, the greater the magnification of the image. Enter the focal length of the lens in centimeters.
Refrigerator Coefficient of Performance
Calculates the coefficient of performance (COP) of a Carnot refrigerator, the cold reservoir temperature divided by the difference between the hot and cold reservoir temperatures, both in kelvin. It is the ratio of heat removed from the cold space to the work consumed; the higher it is, the more efficient the refrigerator. Enter the cold reservoir temperature and the hot reservoir temperature.
Steric Factor
Calculates the steric factor of a reaction, the ratio between the experimentally observed pre-exponential factor and the one predicted by collision theory. It corrects for the fact that not every collision with enough energy leads to reaction, since the molecules must also be properly oriented. Enter the experimental pre-exponential factor and the theoretical collision one.
Diatomic Molecule Vibrational Frequency
Calculates the vibration frequency of a diatomic molecule treated as a harmonic oscillator, the square root of the force constant divided by the reduced mass, over two pi. It is the basis of infrared spectroscopy, which identifies bonds by the frequency at which they vibrate. Enter the force constant and the reduced mass.
Neonatal Mortality Rate
Calculates the neonatal mortality rate, the number of deaths of newborns under twenty-eight days of life divided by the number of live births, multiplied by one thousand. It reflects the quality of care during childbirth and for the newborn. Enter the neonatal deaths and the live births.
Crude Death Rate
Calculates the crude death rate, the total deaths of a population in a year divided by the mid-year population, multiplied by one thousand. It is the simplest measure of mortality, but it is influenced by the age structure of the population. Enter the total deaths and the population.
Geometric Mean Return
Calculates the geometric mean of a series of three annual returns, the cube root of the product of the growth factors minus one. Unlike the arithmetic mean, it reflects the effect of compounding and shows the equivalent return that would have produced the same cumulative result. Enter the three annual returns as percentages.
Bond Convexity
Calculates the effective convexity of a fixed-income bond, from the prices when the interest rate rises and falls slightly and the current price, divided by the price times the squared change. It corrects the duration estimate by capturing the curvature of the price-rate relationship. Enter the price with the rate falling, with the rate rising, the current price, and the rate change.
Spherical Bessel Function j1
Calculates the spherical Bessel function of the first kind and first order, the sine of the number over its square minus the cosine over the number. It appears in the solution of the wave and Schrödinger equations in spherical coordinates, such as in particle scattering. Enter the value of x.
Bessel Function of the Second Order (J2)
Calculates the Bessel function of the first kind and second order at a point x, a solution of Bessel's differential equation. It describes vibration modes of circular membranes and diffraction patterns with second-order symmetry. Enter the value of x.
Heat Pump Coefficient of Performance
Calculates the coefficient of performance (COP) of a Carnot heat pump, the hot reservoir temperature divided by the difference between the hot and cold reservoir temperatures, both in kelvin. It is the ratio of heat delivered to the warmed space to the work consumed. Enter the hot reservoir temperature and the cold reservoir temperature.
Otto Cycle Efficiency
Calculates the ideal thermal efficiency of the Otto cycle, which models gasoline engines, one minus the inverse of the compression ratio raised to the difference between the adiabatic coefficient and one. It shows why engines with a higher compression ratio are more efficient. Enter the compression ratio and the adiabatic coefficient.
Kp and Kc Conversion
Converts the concentration equilibrium constant (Kc) to the pressure constant (Kp) of a gas reaction, multiplying Kc by R times the temperature raised to the change in the number of moles of gas. The two constants are only equal when there is no change in the number of moles. Enter Kc, the temperature in kelvin, and the change in the number of moles.
Reaction Quotient
Calculates the reaction quotient of a chemical reaction, the concentration of the product raised to its coefficient divided by that of the reactant raised to its coefficient. Compared with the equilibrium constant, it indicates which direction the reaction will move to reach equilibrium. Enter the concentrations and coefficients of the reactant and the product.
Diagnostic Accuracy
Calculates the accuracy of a diagnostic test, the sum of true positives and true negatives divided by the total of tests, as a percentage. It measures the proportion of correct results, but can mislead when the disease is rare, so it should be read together with sensitivity and specificity. Enter the true positives, true negatives, false positives, and false negatives.
Test Positivity Rate
Calculates the test positivity rate, the number of positive tests divided by the total of tests performed, as a percentage. It is a surveillance indicator used to assess whether the amount of testing is keeping up with a disease's spread; high values suggest underreporting. Enter the positive tests and the total of tests.
📄 Text
Word Cloud
Build a word cloud from text, with each word sized proportionally to its frequency.
Text Rewriter
Applies simple transformations to text: swap words for common synonyms, expand abbreviations, remove redundancies.
Spell Checker
Enables the browser native spellcheck for proofing. Supports PT, EN and others depending on the OS.
Split Text
Split text into chunks by character count, words or lines. Useful for Twitter threads, long messages and chunked processing.
Compare Texts
Compare two texts line by line and highlight differences (same, added, removed). 100% in your browser.
Upside-Down Text
Flip text upside down using Unicode characters. Works in social networks and messages (¡ɔıʇɟᴉɹd ʇsouɥ).
Add Prefix and Suffix
Add a prefix and/or suffix to every line of a text list. Useful for generating SQLs, formatted lists, batch commands.
Reverse Text
Reverse any text character by character online. Instant result in the browser, no data sent to servers.
Remove Accents
Remove accents and special characters from text. Useful for normalizing data, generating slugs and preparing text for legacy systems.
Text Case Converter
Convert text between UPPERCASE, lowercase, Title Case, camelCase and snake_case. Instant result in the browser.
Number to Words (Portuguese)
Convert numbers to words in Portuguese (por extenso). Supports positive and negative integers and values up to hundreds of millions.
Alphabetical Sort
Sort lines of text in ascending or descending alphabetical order. Option to remove duplicates. Instant result in the browser.
Occurrence Counter
Count how many times a word or phrase appears in a text. With optional case-insensitive search.
Text to HTML Entities
Encode special characters as HTML entities (<, >, &) or decode HTML entities back to plain text.
Text Truncator
Truncate text to a character or word limit. Option to add ellipsis at the end. Ideal for summaries and previews.
String Splitter
Split a string into parts using a custom delimiter (comma, semicolon, space, newline or any character).
Remove Line Breaks
Remove or replace line breaks from text. Replace with space, comma or any other character. Instant result.
Remove Duplicate Lines
Remove duplicate lines from text instantly. Option to ignore case and sort the result. Processed in the browser.
Find and Replace
Find and replace text with regular expression support. See the number of substitutions made. Processed in the browser.
Add Text to Each Line
Add a prefix, suffix or both to each line of a text. Useful for bulk formatting of lists and data.
Remove Extra Spaces
Remove double spaces, tabs and leading/trailing spaces from each line. Clean text copied from PDFs or web pages.
Extract Numbers from Text
Extract all numbers from a text. Options to include decimals and negatives. Result as a list, one per line.
Reverse List
Reverse the order of lines in a list or text. Paste the list and get the lines in reverse order instantly.
Tabs ↔ Spaces Converter
Convert tabs to spaces or spaces to tabs. Set the tab size. Processed in the browser.
Remove Empty Lines
Remove all blank lines from a text. Option to also remove lines with only spaces. Instant result.
Line Counter
Count the number of lines in a text. Shows total lines, non-empty lines and empty lines. Real-time result.
Filter Lines
Filter lines of a text or list that contain (or do not contain) a term. Supports regex and case-insensitive option.
Repeat Text
Repeat a text or line N times with a configurable separator: new line, comma, space or any custom character.
Letter Frequency Counter
Analyze the frequency of each letter in a text. See how many times each letter appears, with total count and percentage.
Number Lines
Add line numbers to any text. Configure the starting number, separator and option to skip empty lines. Instant result.
Extract Emails from Text
Find and extract all email addresses from a text or copied web page. Option to remove duplicates. Processed in the browser.
Extract URLs from Text
Find and extract all links and URLs from a text. Option to remove duplicates and filter by protocol. Processed in the browser.
Compare Two Lists
Compare two lists and find: intersection, union, items unique to each list and symmetric difference. One item per line. Option to ignore case.
Remove Punctuation
Remove punctuation, special symbols or digits from text. Configure what to remove and see the result instantly.
Unique Words Extractor
Extract all unique words from a text. Options to ignore case, sort and display the frequency of each word.
Palindrome Checker
Check if a word or phrase is a palindrome (reads the same forwards and backwards). Options to ignore spaces, accents and case.
Markdown Editor
Online Markdown editor with real-time preview. Write in Markdown and see the formatted result instantly.
Sort Lines
Sort lines of text alphabetically, reverse the order, shuffle randomly or number the lines.
Trim Lines
Remove leading and trailing spaces and tabs from each line of text. Useful for cleaning code or copied data.
ASCII Art Generator
Convert text into stylized ASCII art. Generate banners, decorative headers and borders in various styles using text characters. Entirely in your browser.
Leet Speak (1337) Translator
Convert plain text to leet speak (1337) and back. Use basic (common vowels) or advanced (full substitutions) levels to create nicks, memorable passwords or stylized text. Everything in your browser.
Text Statistics
Full text analysis: characters (with/without spaces), words, sentences, paragraphs, lines, most frequent word, reading/speaking time and Flesch readability score. Everything in your browser.
Email Normalizer
Normalize email addresses by removing Gmail dots and everything after the "+", matching addresses that point to the same inbox. Useful to detect duplicate accounts. Everything in your browser.
String Obfuscator
Mask sensitive parts of strings (emails, phones, IDs, credit cards) replacing middle characters with asterisks. Configure how much to keep at the start and end. Everything in your browser.
Numeronym Generator
Create numeronyms like "i18n" (internationalization) or "k8s" (kubernetes): keep first and last letter and replace middle ones with their count. Everything in your browser.
Fancy Text (Unicode) Converter
Turn any text into fancy Unicode fonts (𝓼𝓬𝓻𝓲𝓹𝓽, 𝔤𝔬𝔱𝔥𝔦𝔠, 𝙲𝚘𝚍𝚎, 🅱🆄🅱🅱🅻🅴): bold, italic, mono, double, small caps. Paste anywhere Unicode is supported. Everything in your browser.
Bionic Reading
Apply "bionic reading" to text: bold the first part of each word to help your brain read faster. Configure the highlighted percentage. Everything in your browser.
Shuffle Text
Shuffle lines, words or characters of a text using a Fisher-Yates shuffle. Useful for raffles, tests and generating random samples. Everything in your browser.
Language Detector
Approximately detect the language of a text (PT, EN, ES, FR, DE, IT) by letter and bigram frequency analysis. Heuristic, no API. Everything in your browser.
Find & Replace Batch
Apply multiple "find → replace" substitutions at once on a text, with case-sensitive and whole-word options. Everything in your browser.
Zero-Width Text (Steganography)
Hide messages inside other text using invisible zero-width characters (U+200B/200C). Encode and decode. Useful for watermark. Everything in your browser.
Vertical Text
Turn horizontal text into vertical text — one letter per line. Great for decorative titles and creative bios. Everything in your browser.
Currency Amount in Words
Convert monetary values to words in Portuguese with chosen currency (Real, Dollar, Euro). E.g. 1,234.56 → "mil duzentos e trinta e quatro reais e cinquenta e seis centavos". Everything in your browser.
Text to Hashtag
Turn a phrase into a hashtag (CamelCase or kebab-#). Removes accents, punctuation and spaces. Useful for Instagram, X and LinkedIn. Everything in your browser.
Extract Numbers from Text
Extract all numbers (integers, decimals, comma or dot, percentages, monetary) from a text. Everything in your browser.
Split into Paragraphs
Split a long text into paragraphs by criteria (sentences, words, blank lines, punctuation frequency). Everything in your browser.
Sort Paragraphs
Sort paragraphs alphabetically, by length, or invert order. Useful for organizing long lists and gathered texts. Everything in your browser.
Text Splitter (chunks)
Split a long text into N equal parts (by lines, characters or bytes) - useful for sending content over messengers with size limits.
Text Joiner
Concatenate multiple text blocks with a configurable separator (newline, comma, page break, marker) between them.
Charset Detector
Detect whether a pasted text contains only ASCII, Latin-1 or characters outside the basic Unicode planes (BMP, Supplementary).
BOM Remover (UTF-8)
Detect and remove the UTF-8 byte order mark (BOM) at the start of a pasted text. Shows size before and after.
Unicode Normalizer (NFC/NFD)
Apply Unicode normalization NFC, NFD, NFKC or NFKD to a text. Shows codepoint count before and after.
Emoji Stripper
Remove all Unicode emojis and pictograms from a text, keeping the rest intact. Shows count of removed characters.
Hashtag Extractor
Extract all hashtags (#word) from a text, removing duplicates and sorting alphabetically. Useful for Twitter/Instagram.
Mentions Extractor (@user)
Collect all @username mentions from a text, removing duplicates. Supports leading @ in words with surrounding punctuation.
CPF and CNPJ Extractor
Scan a text and list CPFs and CNPJs (formatted or not), validating check digits. Removes duplicates.
Brazilian Phone Extractor
List all Brazilian phones (landline and mobile) in a text, formatting to (DD) 9XXXX-XXXX. Removes duplicates.
CEP Extractor
Find all Brazilian postal codes (CEP) (XXXXX-XXX or 8 digits) in a text, normalizing and removing duplicates.
Code Blocks Extractor
Extract all fenced code blocks (```lang ... ```) from Markdown and show each one separately, with detected language.
Syllable Counter (Portuguese)
Approximate syllable count for Portuguese words using vowel-group heuristic.
Flesch Reading Ease (Adapted PT-BR)
Compute Flesch Reading Ease adapted for Brazilian Portuguese.
Gunning Fog Index
Compute the Gunning Fog index measuring grade-level reading difficulty.
Coleman-Liau Index
Compute Coleman-Liau index from letters and sentences per 100 words.
ABNT Citation Builder (book)
Build ABNT (Brazilian) bibliographic reference for a book.
APA Citation Builder
Build APA 7th edition reference for a book.
Acronym Extractor
Extract all acronyms (2+ uppercase letters) from text, with occurrence counts.
Date in Roman Numerals
Convert a date into Roman numerals. Example: 9/5/2026 → IX·V·MMXXVI.
CSV/TSV Pretty Printer
Pretty-print CSV/TSV with column alignment for terminal/log readability.
Caesar by Keyword
Apply Caesar shift based on alphabetic distance of a single keyword letter (A=0..Z=25).
Sentence Counter
Count sentences in a text using period, exclamation, question and ellipsis as delimiters. Also shows average length.
Paragraph Counter
Count paragraphs (split by blank lines or double breaks). Shows average words and sentences per paragraph.
Line Number Adder
Add numbers at the start of each text line. Configurable padding, separator, start and step. For lists and code.
Remove Blank Lines
Remove blank lines from text. Option to remove only fully empty lines, or also whitespace-only lines.
Randomize Letter Case
Randomly upper/lowercase each letter of text, keeping order and symbols. Each letter has 50% chance of being uppercase.
Curly Quotes Converter
Convert straight quotes (") to typographic curly quotes ("…") and back. Also single quotes and dashes. PT, EN, DE styles.
ROT1 Encoder
Apply Caesar cipher with shift 1 — each letter becomes the next in the alphabet (A→B, Z→A). Useful for puzzles and intro CTFs.
Substitution Cipher (custom)
Apply monoalphabetic substitution: define the cipher alphabet (26 letters); the tool encrypts/decrypts.
Text Justifier
Justify text lines to a fixed width (columns) by inserting extra spaces between words. For printing and ASCII formatting.
Emojify (replace words with emojis)
Replace known keywords with matching emojis (cat → 🐱, fire → 🔥). 80+ pt/en mappings. Fun messages.
Truncate Text in Middle
Truncate long text in the middle with ellipsis: "Long long text" → "Long…text". Keeps start and end, configurable length.
Pig Latin Converter
Convert text to Pig Latin: consonant-initial words move the leading cluster to the end + "ay"; vowel-initial words append "way".
SpongeBob Mock Text
Convert text to "MoCkInG SpOnGeBoB" style — alternating upper/lowercase per letter for sarcastic tone.
Lorem Pirate Generator
Generate placeholder text in pirate slang ("Arr! Avast ye, matey!"). For fun mockups, posters and RPG.
Fix Mojibake Encoding
Fix typical mojibake encoding: "é" → "é", "ç" → "ç", "ã" → "ã". Reverts UTF-8 read as Latin-1.
Strip Accents
Remove accents and diacritics from text: "café" → "cafe", "ação" → "acao". For slugs, normalization and search.
Levenshtein Distance
Compute Levenshtein edit distance between two strings.
Hamming Distance
Count positions where two equal-length strings differ.
Jaro-Winkler Similarity
Compute Jaro-Winkler similarity (0 to 1) — good for personal names.
Cosine Similarity (text)
Compute cosine similarity between two texts using bag-of-words vectors.
Bigram Frequency
Count consecutive letter-pair (bigram) frequency in text.
Trigram Frequency
Count consecutive 3-letter (trigram) frequency in text.
Portuguese Pluralizer
Apply Brazilian Portuguese pluralization heuristics to a list of words.
Pangram Checker
Check if text contains every alphabet letter (pangram); show missing letters.
Number to Words (English)
Convert integers up to 999,999,999 into American English words.
Simple Auto Summarizer
Extractive summary: rank sentences by word frequency (skipping stopwords) and return top N.
Dunder/Leet Converter
Replace letters with leet symbols (a→4, e→3, i→1, o→0, s→$).
camelCase / snake_case / kebab-case / PascalCase
Convert between camelCase, PascalCase, snake_case, kebab-case, SCREAMING_SNAKE, Title Case in one field.
Double-Struck Unicode Text
Convert ASCII text to Unicode double-struck letters (𝔸𝔹ℂ).
Aurebesh (Star Wars) Converter
Convert Latin text into Aurebesh (Star Wars fictional script) approximation.
Soft Numeric Leet Converter
Soft leet using only common digits (a→4, e→3, i→1, o→0, s→5, b→8, t→7).
Unicode Shadow Text
Add Unicode shadow combining marks around each letter.
Internal Letter Shuffler
Shuffle internal letters of each word, keeping first and last letters (effect: still readable).
Vowel Replacer/Remover
Remove or replace all vowels (including accented) with a chosen character.
Custom ROT (rotate N)
Apply ROT-N (Caesar) with arbitrary shift 1-25.
Rail Fence Cipher
Apply Rail Fence cipher with N rails (zigzag).
Baudot (ITA2) Code Converter
Convert text to Baudot/ITA2 5-bit telegraphy code.
Latin → Classical Greek Letters
Replace Latin letters with classical Greek (A→Α, B→Β...). Decorative, not translation.
Latin → Cyrillic Transliterator
Simple Latin → Cyrillic transliteration. Useful for romanizing names.
Romaji → Hiragana
Convert romaji syllables (ka, ki, ku, ke, ko...) to Japanese hiragana.
Katakana ↔ Hiragana
Convert Japanese text between katakana and hiragana.
Latin → Elder Futhark Runes
Replace Latin letters with Elder Futhark runes (decorative).
Latin → Wingdings-style
Replace letters with Unicode dingbats reminiscent of Wingdings (decorative).
Double URL Encoder
Apply encodeURIComponent twice (useful for cascaded URL encoding).
Affine Cipher
Apply Affine cipher E(x)=(a·x+b) mod 26 and inverse. a must be coprime with 26.
Playfair Cipher
Apply Playfair cipher with 5×5 table built from key (J↔I). Pairs encrypted by row/column/rectangle rules.
Bacon Cipher
Classic Bacon cipher (1605): each letter becomes a 5-letter A/B sequence.
Hexspeak Decoder
Detect hexspeak words in hex (e.g. 0xC0FFEE = COFFEE) by substituting digits.
ABNT2 ↔ US qwerty Translator
Translate text typed in ABNT2 layout to US qwerty equivalent and back.
Quoted-Printable Converter
Encode/decode text in Quoted-Printable (RFC 2045) used in email.
UUencode Converter
Encode text in uuencode (classic Unix), 3 bytes → 4 ASCII chars.
Emoji Detector
Detect and list all emojis in text with codepoints and counts.
Heavy Leet Speak Generator
Generate heavy leet speak with multi-char substitutions and decoration.
Word Frequency (excluding stopwords)
Count word frequency excluding Portuguese stopwords; sort by count.
Basic Spelling Checker
Check spelling against a small PT-BR dictionary and flag unknown words.
Multi-Word Anagram Generator
Generate unique anagrams of each word in a phrase (max 6 chars per word).
Text → Binary (8-bit padded)
Convert text to 8-bit padded binary with separator.
Text ↔ Octal
Convert text to/from octal char codes (base 8).
Replace Letters with Inverses
Replace letters by their alphabet inverse: A→Z, B→Y, C→X, etc.
Selective Uppercase Letter Mapper
Choose which letters become uppercase (vowels, consonants, first of each word) and apply.
PT vs EN Detector
Detect if text is Portuguese or English by common word frequency.
Portuguese Stopwords Remover
Remove Portuguese stopwords leaving meaningful words for NLP analysis.
Unique Words Counter
Count unique words (case-insensitive, no accents) and ratio of unique vs total.
Encoding Detector (UTF-8 vs Latin-1)
Try to detect UTF-8 vs Latin-1 encoding based on byte sequence patterns.
ROT25 Encoder
Apply Caesar cipher with shift 25 — equivalent to going back 1 letter. For puzzles and intro CTFs.
Baconian Cipher
Apply Bacon's cipher — each letter encoded as a 5-char A/B sequence (a=AAAAA, b=AAAAB...). Classical steganographic cipher.
Bifid Cipher (Polybius)
Apply Bifid (Polybius) cipher — combines substitution and transposition in a 5x5 Polybius square (I/J merged). Early-20c classical cipher.
Playfair Cipher
Apply Playfair cipher — uses 5x5 square with keyword and substitutes pairs of letters. Used in 19th-century military telegrams.
Number Paragraphs
Number text paragraphs (separated by blank lines). For reviews, writing and cross-referencing.
Break Text into Fixed-Width Lines
Wrap long text to lines of max width without splitting words (word-wrap). Optionally preserves manual breaks.
Join Lines into Paragraph
Merge multiple lines into a paragraph, removing intra-line breaks. Keeps double breaks between paragraphs.
Renumber Lists
Detect numbered lists (1. ... 2. ...) and re-sequence even if items are out of order or missing.
Fix Double Spaces
Remove double (or triple) spaces and multiple tabs, leaving a single space. Also trims line edges.
Normalize Quotes (curly → straight)
Convert typographic quotes ("…", '…') to straight ones ("…", '…'). For preparing text for code or JSON.
Emoji to Keyword (pt/en) Translator
Replace emojis with keywords (cat, fire, heart) in PT or EN. 200+ popular emojis mapped.
Greek Look-alike Transliterator
Replace Latin letters with similar-looking Greek (A→Α, B→Β, K→Κ, etc.). Greek-looking text — not a translation.
Cyrillic Look-alike Transliterator
Replace Latin letters with similar Cyrillic (a→а, e→е, o→о, p→р). Often used in "visual phishing" — for educational purposes.
Extract Unique Words with Frequency
List unique words in text, sorted by frequency (descending). For text analysis, SEO and tag clouds.
CSV-driven Word Replacement
Apply many "from → to" replacements defined in CSV (one per line). For mass rewriting, glossaries and localization.
Truncate Text by N Words
Truncate text after N words with "..." (configurable). Doesn't split words. For previews, snippets, meta descriptions.
Truncate Text by N Characters
Truncate text after N chars with configurable suffix. Keeps whole words on request. For tweets, SMS, captions.
Text → PNG Image (Canvas)
Convert text into a PNG image (data URI) via Canvas. Configure font, color, background, padding. Download-ready.
Right-justify Text
Right-align each line by left-padding spaces to the chosen width. For aligning numbers, ASCII tables.
Center Text (fixed width)
Center each line in a fixed width by adding equal padding on both sides. For banners and printing.
Acrostic Maker
Take a word or name and format it as an acrostic, with each starting letter highlighted on a new line. Ready for custom poetry.
Red/Blue Anaglyph Reading Text
Alternate words in red/blue (CSS) to simulate anaglyph-style reading. Visual curiosity and reading stimulus.
Big ASCII Banner (block letters)
Convert text to an ASCII banner with big letters made of # blocks. For highlighting titles in README, shell scripts.
Mini Figlet Banner (3 lines)
Compact 3-line ASCII banner in "small" Figlet style. More subtle than block letters — good for status bars and headers.
Typewriter Animation Preview (CSS)
Live preview of a typewriter animation and generate HTML/CSS snippet ready to paste into any page.
CSS Fade-in Text Generator
Generate CSS to animate a text block with smooth fade-in. Configure delay, duration, easing. Live preview.
Bubble Style Text (Ⓤⓝⓘⓒⓞⓓⓔ)
Convert letters to Unicode "bubble" version (Ⓤⓝⓘⓒⓞⓓⓔ). Letters and digits only. For fun social media titles.
Monospace Unicode Style
Convert letters to Unicode monospace style (𝙼𝚘𝚗𝚘𝚜𝚙𝚊𝚌𝚎). Code-source look without CSS.
Cursive Unicode Style
Convert letters to cursive Unicode (𝓒𝓾𝓻𝓼𝓲𝓿𝓮). For game names, nicknames, elegant titles.
Double-struck Unicode Style
Convert letters to double-struck Unicode (𝔻𝕠𝕦𝕓𝕝𝕖). Used in math for number sets (ℝ, ℕ, ℤ).
Light Zalgo Text Decorator
Apply light Zalgo to text — subtle diacritics above/below letters. For spooky titles, posts, horror RPG.
Truncate CSV Cells to N Chars
Truncate each CSV cell to N chars with suffix. Preserves CSV structure. For cleaning long data before import.
Random CSV Splitter
Split a CSV into N equal random parts (header preserved in each). For creating test samples.
Strict Email Anonymizer
Find and mask emails: a***@example.com, e***@***.com (full mask), or MD5 hash. For GDPR/LGPD compliance.
CPF Masking in Text
Find CPFs (formatted or not) in text and mask them: ***.***.789-XX (keeps last 3 digits). For LGPD/compliance.
Text Replicator
Repeat a text N times with custom separator (comma, space, newline). For test lists and dummy data.
Markdown Checkboxes Generator
Convert a list of items to Markdown checkboxes (- [ ] item) / task list. Initial state (all checked, all unchecked, alternating).
Replace Numbers with Sport Emojis
Replace text digits with sport emojis: 1→⚽, 2→🏀, 3→🎾, 4→🏐... Sport-themed.
Normalize Spaces and Line Breaks
Normalize spaces (tab→space, multiple→1), line breaks ( → ), trim line edges. Clean output for parsing.
Extract Domains from Emails
Find all emails in text and extract only the domain (@...). Count frequency per domain. For audit and mailing.
Padded Table Builder (ASCII)
Take TAB- (or comma-) separated lines and produce an ASCII table with aligned columns. Auto-padding per column max width.
Remove Vowels from Text
Remove all vowels (a, e, i, o, u, optional y) from text, keeping consonants and symbols. For abbreviations, light obfuscation, slang.
Indent/Outdent Text Block
Add or remove spaces/tabs at start of each line. Configurable: # spaces, direction (indent/outdent). For manual code formatting.
Run-Length Encode Letters
Simple run-length compression: "aaabbcc" → "a3b2c2". Can decompress too. Letters only for readability.
LeetCode-style Grid Renderer
Format a 2D matrix (rows by |, cols by ,) as a visual grid with borders — LeetCode problem-statement style.
Double Layer Base64 + ROT13
Double encoding — Base64 then ROT13 (or reverse). To hide text from naive scanners. Not secure encryption.
Fraktur (Gothic) Unicode Style
Convert letters to Fraktur Unicode (𝔉𝔯𝔞𝔨𝔱𝔲𝔯). Gothic/medieval style popular on social media.
Medieval Decorated Text
Add medieval decorations around text: ✠ ✦ ✿ → "✠ Text ✠". Parchment style. For RPG titles and cosplay.
Bold Fraktur (Gothic Bold) Unicode
Convert text to Bold Fraktur Unicode (𝕮𝖔𝖔𝖑). Bold variant of Fraktur.
Superscript Text
Convert letters and digits to Unicode superscript (ᵃᵇᶜ¹²³). For formulas, footnotes, fun style.
Subscript Text
Convert digits and some letters to Unicode subscript (ₐᵦ₁₂). For chemistry formulas (H₂O) and math.
Extract PT-formatted Numbers
Extract numbers from text recognizing Brazilian format (1.234,56) and convert to JS format (1234.56). For data parsing.
Split Text into Equal Pieces
Split a long text into N approximately equal pieces, or into exactly X chars per piece. For batch processing.
Rotate Text 180° (upside down)
Flip text upside down using equivalent Unicode characters. For humor and style.
Horizontal Flip Text
Horizontally flip each line of text (mirror). Useful for mirrored text effects.
Vertical Flip Text (reverse lines)
Reverse line order in text (vertical flip). Last line becomes first, etc. For reversing logs and lists.
Small Caps Typography
Convert lowercase letters into Unicode small caps. Unmapped characters stay unchanged.
Fancy Double-Struck Text
Style A-Z/a-z letters using Unicode double-struck characters. Others stay the same.
Fancy Italic Text
Convert A-Z/a-z to Unicode math italic letters.
Fancy Bold Italic Text
Convert A-Z/a-z to Unicode math bold italic letters.
Fancy Script Text
Convert A-Z/a-z to Unicode math script letters.
Fancy Text Script Bold
Convert ASCII letters to Unicode Mathematical Bold Script.
Fancy Text Monospace
Convert ASCII letters to Unicode Monospace style.
Fancy Text Circled
Convert letters to circled Unicode versions (Ⓐ Ⓑ Ⓒ).
Fancy Text Squared
Convert letters to squared Unicode versions.
Fancy Text Parens
Convert letters to parenthesized Unicode versions.
Fancy Text Fullwidth
Convert ASCII to fullwidth (double-width) Unicode characters.
Celtic Runes (Ogham)
Ogham alphabet used in ancient Celtic inscriptions.
Viking Runes (Futhark)
Elder Futhark runic alphabet of the Norse peoples.
Phoenician Alphabet
Phoenician alphabet (12th c. BC) — ancestor of Greek and Latin.
Archaic Greek Alphabet
Archaic Greek alphabet variants (8th c. BC).
Archaic Latin Alphabet
Archaic Latin (no J, U, W) — 21 original letters.
Replace Vowels with X
Replace all vowels with X.
Replace Vowels with Z
Replace all vowels with Z.
Glagolitic Alphabet
Glagolitic alphabet (9th c.) — first Slavic script.
Pinyin (Mandarin Romanization)
Official mandarin romanization system.
Hangul Romanization
Korean Revised Romanization system.
Korean Hangul Direct
Direct PT→Hangul phonetic mapping.
Romaji (Hepburn)
Hepburn Japanese romanization system.
Katakana Direct
Direct PT→Katakana phonetic mapping.
Hiragana Direct
Direct PT→Hiragana phonetic mapping.
Reverse Each Word
Reverse characters of each word in place.
Reverse Each Sentence
Reverse characters within each sentence.
Reverse Each Paragraph
Reverse characters within each paragraph.
Reverse Middle Letters
Keep first/last letter, reverse middle of each word.
Shuffle Paragraphs
Randomly shuffle paragraph order.
Pad Numbers with Zero
Left-pad each number with zeros to 4 digits.
Palavras + Tempo Leitura
Conta palavras e estima tempo de leitura (200 wpm).
Densidade Top-10 Palavras
Lista as 10 palavras mais frequentes do texto.
Sentimento Simples
Classifica sentimento por contagem de palavras pos/neg em léxico embutido.
Resumir em N Frases
Retorna as primeiras N frases (separadas por . ! ?) do texto.
Soundex (Português)
Calcula código Soundex (4 chars) para uma palavra.
Metaphone Simples
Aproxima Metaphone (algoritmo simplificado).
Distância Levenshtein
Calcula distância de edição entre duas strings.
Similaridade de Jaccard
Calcula índice de Jaccard entre dois conjuntos de palavras.
Anonimizador PII
Mascara CPF, e-mail e telefone do texto com regex.
N-Grama Gerador
Gera todos os n-gramas (sequências de N caracteres) de uma string.
Detector de Idioma (trigrama)
Adivinha PT/EN/ES por presença de trigramas comuns.
Contador de Sílabas (PT)
Estima sílabas em uma palavra portuguesa por sequências de vogais.
Frases-Chave (TF)
Extrai top palavras-chave por frequência ignorando stopwords PT.
Razão Consoantes/Vogais
Calcula razão consoantes/vogais de um texto.
WPM Média do Texto
Calcula palavras por minuto necessárias para ler em N minutos.
Flesch Reading Ease (EN)
Calcula índice de facilidade de leitura Flesch (inglês): 206.835 − 1.015·(palavras/sentenças) − 84.6·(sílabas/palavras).
Flesch-Kincaid Grade Level
Calcula nível escolar (EUA) necessário para entender o texto: 0.39·(palavras/sentenças) + 11.8·(sílabas/palavras) − 15.59.
Gunning Fog Index
Estima anos de escolaridade necessários para entender o texto: 0.4·((palavras/sentenças) + 100·(palavras_complexas/palavras)).
SMOG Grade
Calcula SMOG index (palavras polissilábicas em 30 sentenças): 1.0430·√(polissilábicas·30/sentenças) + 3.1291.
ARI (Automated Readability Index)
Calcula ARI: 4.71·(caracteres/palavras) + 0.5·(palavras/sentenças) − 21.43.
Dale-Chall (lista curta)
Estima Dale-Chall: 0.1579·(% palavras difíceis fora de lista familiar de 200 termos) + 0.0496·(palavras/sentenças). Penaliza +3.6365 se PWD>5%.
Índice LIX (Läsbarhetsindex)
Calcula LIX: (palavras/sentenças) + 100·(palavras_longas/palavras). Palavras longas = mais de 6 letras.
Detector de Voz Passiva (PT)
Conta frases com voz passiva por heurística: "foi/foram/é/são/era + verbo no particípio (-ado/-ido)".
Contador de Advérbios em -mente (PT)
Conta palavras terminadas em "-mente" (advérbios). Excesso piora a fluidez do texto.
Detector de Nominalização (PT)
Conta substantivos abstratos formados de verbos: terminações -ção, -são, -mento, -ância, -ência, -ura, -idade.
Tamanho Médio de Sentença
Calcula média de palavras por sentença. Ideal 15-20 para texto claro.
Razão Parágrafos/Palavras
Calcula média de palavras por parágrafo (separados por linha em branco). Ideal 40-100.
Diversidade Vocabular (TTR)
Calcula Type-Token Ratio: palavras únicas / total. Maior = mais variado. 0.5+ é alta diversidade.
Removedor de Stopwords (EN)
Remove stopwords comuns do inglês (the, a, of, and, etc.) para análise de termos relevantes.
Flesch (PT) com nível escolar
Calcula Flesch adaptado ao PT (Martins): 248.835 − 1.015·(palavras/sentenças) − 84.6·(sílabas/palavras), com interpretação.
Pig Latin (Inglês)
Converte texto inglês para Pig Latin (regras clássicas: consoantes iniciais ao fim + ay; vogal inicial + way).
Igpay Atinlay (Pig Latin BR)
Variante "Igpay Atinlay" — Pig Latin com saída tradicional famosa.
Ubbi Dubbi
Codifica texto em Ubbi Dubbi: insere "ub" antes de cada vogal.
Leet Speak (mapa alternativo)
Codifica em leet speak com mapa alternativo: A→@, B→8, E→3, G→9, I→!, O→0, S→$, T→7, Z→2.
NATO Callsign — Frase
Lê uma frase como callsigns no alfabeto NATO (cada letra → palavra fonética).
Klingon — Transliteração ASCII
Mapeia letras latinas para representação ASCII do alfabeto klingon (pIqaD-style basic).
Élfico Tengwar — Mapa Básico
Mapeia letras latinas para representação ASCII do Tengwar (Sindarin/Quenya básico).
Runas Anglo-Saxônicas (Futhorc)
Mapeia letras latinas para runas Futhorc anglo-saxônicas básicas.
ROT13 + ROT47 Paralelo
Aplica ROT13 e ROT47 ao mesmo texto lado a lado para comparação.
Morse — Ritmo Visual
Exibe código Morse com proporção visual (ponto = "•", traço = "▬▬▬", espaço entre letras = " / ").
Italian Lorem Ipsum Generator
Generate Lorem Ipsum with real Italian words like ciao, allora, prego, gelato. Useful for prototypes targeting Italy.
Cupcake Ipsum Generator
Sweet Lorem Ipsum: tiramisu, marshmallow, donut, jelly beans and gummies. Fun filler text for confectionery projects.
Hipster Ipsum Generator
Hipster Lorem Ipsum: artisan, kombucha, mustache, vinyl, kale, gentrify. Perfect for café and alt-brand mock-ups.
Corporate Ipsum BR
Brazilian corporate Lorem Ipsum with HR and management jargon: sinergia, alavancar, holístico, deliverables, ROI. Useful for slideware.
Pirate Ipsum Generator
Pirate Lorem Ipsum: ahoy, matey, scallywag, doubloon, kraken. Perfect for games, themed events and playful mock-ups.
Bacon Ipsum Generator
Carnivore Lorem Ipsum: bacon, brisket, prosciutto, picanha, jerky. Ideal filler text for burger and barbecue sites.
Cat Ipsum Generator
Feline Lorem Ipsum: purr, meow, knock things off the table, attack the dog. Perfect for pet shop and vet clinic sites.
Zombie Ipsum Generator
Apocalyptic Lorem Ipsum: braaains, undead, decay, virus, survivor. Ideal for horror games and Halloween events.
Samuel L. Jackson Ipsum (PG)
Samuel L. Jackson style Lorem Ipsum in PG version (no profanity), with iconic movie lines. For mockups with personality.
Corporate Buzzword Generator
Compose ready-made meeting phrases with Brazilian corporate subjects, verbs and modifiers (leverage the holistic synergy...).
To snake_case
Convert any text to snake_case: all lowercase separated by underscores. Useful for Python variable names and DB columns.
To kebab-case
Convert text to kebab-case: lowercase separated by hyphens. Standard for friendly URLs (slugs), CSS files and HTML attributes.
To camelCase
Convert text to camelCase: first word lowercase, rest with capitalized initial. Standard in JS/Java/TS.
To PascalCase
Convert text to PascalCase: every word with capital initial. Standard for class names in Java/C#/Python (classes).
To SCREAMING_SNAKE_CASE
Convert to SCREAMING_SNAKE_CASE: all uppercase separated by underscores. Standard for constants in most languages.
To Train-Case
Convert to Train-Case: each word capitalized, hyphen separator. Used in HTTP headers (Content-Type, X-Request-ID).
To dot.case
Convert to dot.case: lowercase separated by dots. Common in i18n keys, DSLs and structured configurations.
To path/case
Convert to path/case: lowercase separated by slashes. Useful for hierarchical URL paths or namespace keys.
To flatcase
Convert to flatcase: all lowercase with no separators. Common in short unique IDs and legacy Java package names.
To COBOL-CASE
Convert to COBOL-CASE: all uppercase separated by hyphens. From COBOL tradition and old HTTP headers.
Remove Accents
Strip accents and diacritics from text (á→a, ç→c, ñ→n) using NFD + combining mark filter. Useful for slugs and tolerant search.
Remove Emojis
Strip emojis and pictographs from text, keeping letters, numbers and punctuation. Useful for sanitizing inputs and metrics.
Remove HTML Tags
Strip HTML tags (<p>, <a>, <div>...) preserving inner text. Useful for extracting only readable content from a page.
Remove URLs
Detect and remove http(s)://... or www.... URLs from text. Useful for cleaning comments and messages before analysis.
Remove Numbers
Remove all digits (0-9) from text. Option to keep isolated decimal/integer numbers or strip all.
Remove Punctuation
Remove punctuation (. , ; : ! ? — – " ' ( ) [ ] { } / \ etc) keeping letters, spaces and line breaks.
Collapse Extra Spaces
Collapse multiple spaces, tabs and non-breaking spaces into a single space. Option to trim resulting lines.
Remove Duplicate Lines
Remove duplicate lines keeping first occurrence. Options for case-insensitive, ignore whitespace, sort.
Strip Blank Lines
Remove fully empty lines or whitespace-only lines. Option to collapse multiple blank lines into one.
Keep Only Letters
Keep only letters (a-z, A-Z, accented) from text, removing digits, punctuation and symbols. Useful to extract words.
Keep Only Numbers
Keep only digits (0-9), removing letters, punctuation and symbols. Option to keep dots/commas as decimal separators.
Keep Alphanumeric
Keep only letters and digits, optionally preserving spaces. Useful for sanitizing before hashing or comparison.
Anonymize Emails in List
Replace emails with masked version (j***@gmail.com), preserving first letter and domain. Useful for sharing lists privately.
Anonymize Phone Numbers
Mask Brazilian phone numbers, keeping area code and last 4 digits visible: (11) ****-1234. Useful for contact base anonymization.
Anonymize CPFs in List
Replace CPFs with masked version (123.***.***-45), keeping only first 3 and last 2 digits. Per LGPD practice.
Anonymize Credit Card
Mask credit card numbers (16 digits) showing only first 6 (BIN) and last 4. PCI-DSS standard for partial display.
Replace Newlines with Space
Replace all newlines (\n, \r\n) with a single space. Useful for joining paragraphs pasted from PDFs or emails.
Accents to HTML Entities
Replace accents with named HTML entities (á → á, ç → ç). Useful for legacy systems with limited encoding.
Escape HTML Special Chars
Replace HTML special chars (& < > " ') with entities (& < > " '). Prevents XSS in unsafe interpolation.
Extract Emails
Find and list all unique emails in a pasted text. Sorted and deduplicated. Useful for extracting leads from email archives.
Extract URLs
Find all http(s)://... and www.... URLs in text. Unique sorted list with occurrence counts.
Extract Brazilian Phone Numbers
Identify Brazilian phone numbers (landline and mobile) with or without mask. Supports (DD) NNNNN-NNNN, +55 and 10/11 digits.
Extract Valid CPFs
Extract all CPFs (formatted 000.000.000-00 or unformatted) valid by check digits. Discards invalid ones.
Extract Valid CNPJs
Extract all CNPJs (00.000.000/0001-00 or unformatted) valid by check digits. Supports alphanumeric inscriptions (2026).
Extract IP Addresses
Find IPv4 and IPv6 addresses in text and list uniques with counts. Useful for log analysis and traffic audit.
Extract Hashtags
List all hashtags (#word) in text, deduplicated and sorted. Also counts frequency of each.
Extract Mentions (@user)
Find @user mentions in text (Twitter/X, GitHub, Slack format) and list uniques sorted.
Extract Brazilian Dates
Find dates in Brazilian DD/MM/YYYY or DD/MM/YY format in text, validate and list uniques in chronological order.
Extract Numbers
Find all numbers (integers, decimals, negatives) in text. Auto-shows sum, mean and max/min.
Leetspeak Converter
Convert plain text to leetspeak (1337 5p34k) replacing letters with numbers/symbols. Classic 80s/90s hacker culture style.
Morse Light/Sound Timing
Show standard Morse code duration in milliseconds: dot, dash, spaces between symbols/letters/words. PARIS = 50 units.
NATO Phonetic Alphabet
Convert text to the NATO phonetic alphabet (Alpha, Bravo, Charlie…). International radio communication standard since 1956.
ICAO Phonetic Alphabet
Convert text to the ICAO phonetic alphabet (same as NATO, used in aviation). Pronunciation with lowercase for number distinction.
ROT13 vs ROT47 Comparison
Apply ROT13 (letters only) and ROT47 (all printable ASCII 33-126) to the same text, side by side for comparison.
Text: ROT18 Converter
Applies ROT18 cipher (ROT13 letters + ROT5 digits), encoding and decoding text.
Text: ROT25 Converter
Applies ROT25 cipher, shifting each letter by 25 — equivalent to -1 (Caesar).
Text: ROT48 Converter
Applies +48 shift on printable ASCII codes — variation for simple obfuscation.
Text: Mobile Keypress (Old Phone)
Converts text into key presses on an old phone numeric keypad (multi-tap).
Text: T9 Converter
Converts text into T9 numeric sequence (each letter maps to a 2-9 keypad digit).
Text: Old Cellphone Sequence
Shows the old cellphone key sequence to type the text, separated by hyphens.
Text: ROT13 Uppercase Only
Applies ROT13 only to uppercase letters, preserving lowercase and other chars.
English Hyphenation
Splits English words by syllable using a simplified Liang hyphen patterns algorithm — useful for typography.
Hiragana Katakana Converter
Converts between Japanese Hiragana and Katakana without external calls using fixed codepoint difference.
Romaji From Kana
Converts hiragana and katakana to Hepburn romaji — useful for Japanese learners.
Pinyin Tone Converter
Takes pinyin with tone numbers (ni3 hao3) and converts to pinyin with diacritics (ni hao).
Vowel And Consonant Counter
Counts vowels, consonants, digraphs (ch, lh, nh, rr, ss, qu, gu) and letters in a Portuguese text.
Portuguese Rhyme Finder
Finds words that rhyme with a given word using an embedded list — no external call required.
Portuguese Verb Conjugator
Conjugates regular Portuguese verbs in all tenses (present, preterite, future, subjunctive, imperative).
Portuguese Essay Cliche Detector
Detects common essay cliches in Portuguese ENEM and exam writing using an embedded list of 100+ phrases.
Portuguese Passive Voice Detector
Finds analytic (ser/estar + participle) and synthetic (-se) passive voice constructions in a Portuguese text.
Portuguese Personal Pronoun Counter
Counts personal (eu/nos/tu/vos/ele) and impersonal pronouns in a Portuguese text — useful for essay tone analysis.
Mathematical Bold Text Style
Converts text to Unicode mathematical letters (bold, italic, sans-serif) — for social media bios and posts.
Monospace Unicode Text
Converts text to Unicode monospace letters — useful for chats without markdown or Twitter posts.
Double-Struck Text Style
Converts text to Unicode double-struck letters — common in math notation and 'aesthetic' posts.
Letters To Emoji Converter
Replaces letters with regional indicator emoji or squared letter emoji — fun effect for social posts.
Vaporwave Fullwidth Text
Converts ASCII to Unicode fullwidth characters with vaporwave aesthetic style.
Unicode Strikethrough Text
Applies strikethrough or underline using Unicode combining marks on any text.
Horizontal Mirror Flip Text
Applies Unicode mirrored letters to create a horizontal flip effect — works on social media.
Extra Letter Spacing Text
Inserts spaces between each character — stylized visual effect popular in social media bios.
Light Glitch Typography
Applies a few random combining marks on some letters for a subtle glitch effect (unlike full Zalgo).
Cursive Script Text Style
Converts text to Unicode cursive script — used in stylish Instagram bios and aesthetic posts.
Extract Vowels or Consonants
Extract only vowels or only consonants from text, preserving order — useful for puzzles, simple ciphers and linguistic analysis.
Pangram Checker
Checks whether a text is a pangram (contains every letter of the alphabet) and lists the missing letters — supports PT-BR and EN.
Align Text Columns
Paste lines with columns separated by spaces/tabs and align them into perfect columns with consistent padding for logs and ASCII docs.
Multi Regex Find and Replace
Apply multiple regex find/replace rules over the same text in sequence, with i/g/m flags and per-rule preview.
Letter Frequency (PT-BR)
Counts the frequency of each letter in a text (ignoring accents and case), with visual bars and comparison to the theoretical PT-BR distribution.
Bullet List Converter
Converts each line into a list item with a customizable marker (-, *, •, →, 1.) and configurable indentation.
Comment / Uncomment Code
Adds or removes block comments in pasted code, supporting //, #, <!-- -->, /* */, -- styles per language.
Arabic Lorem Ipsum
Create Arabic placeholder text (with natural RTL) by words, sentences or paragraphs for multilingual design mockups.
Cyrillic Lorem Ipsum
Generate fake text in Cyrillic alphabet (Russian-style) by words, sentences or paragraphs to test fonts and multilingual layouts.
Bubble Letters Generator
Convert plain text into Unicode bubble letters (Ⓐ Ⓑ Ⓒ) to stand out on social media, posts and bios. Quick one-click copy.
Unicode Small Caps
Transform text into Small Caps using Unicode characters (ʜᴇʟʟᴏ) - ideal for titles, bios and posts without needing a custom font.
Kaomoji Collection
Searchable kaomoji library (¯\_(ツ)_/¯, (◕‿◕), ʕ•ᴥ•ʔ) by emotion and category, with quick copy and search by name.
Sort Lines (Natural Sort)
Sort text lines alphabetically, numerically or naturally (smart numbers), with A→Z, Z→A and case-sensitive options.
Shuffle Text Lines
Randomly shuffle the order of lines in pasted text, useful for randomizing lists, study decks and test data.
Unicode Normalizer (NFC/NFD/NFKC/NFKD)
Normalize Unicode strings between NFC, NFD, NFKC and NFKD forms to fix comparison, sorting and search issues with accents.
Zero-Width Character Cleaner
Remove invisible characters (U+200B, U+200C, U+FEFF, U+2060 etc.) from text — useful to sanitize suspicious copy-paste.
Unicode Homoglyph Detector
Identify Unicode characters visually identical to Latin letters (e.g. Cyrillic 'а' vs Latin 'a') — useful against IDN phishing.
Typographic Quotes Converter (pt-BR)
Replace straight quotes with curly/typographic ones following pt-BR rules (opening/closing) — useful for editorial.
Snake_case with Random Numeric Suffix
Convert free text to snake_case adding a random numeric suffix — useful to generate variable names in bulk.
VC/CV Syllable Splitter (English)
Split words into syllables (VC/CV pattern heuristic) for pronunciation review and English poetry.
Lipogram Detector (Missing Letter)
Detect whether a text omits a specific letter (lipogram) — famous literary exercise by Georges Perec.
Pig Latin Preserving Punctuation and Case
Convert English words to Pig Latin (move initial consonants + 'ay') — preserves original punctuation and capitalization.
Swedish Rövarspråket Converter
Convert text to Rövarspråket, the Swedish language-game that duplicates consonants with 'o' between them — linguistic fun.
Toggle Case Inverter (tOGGLE cASE)
Swap uppercase for lowercase character by character (tOGGLE cASE) with PT-BR accent support.
PascalCase Converter
Convert any text to PascalCase removing spaces, hyphens and underscores — ideal for naming classes in code.
Editorial Title Case (PT-BR)
Capitalize titles in Portuguese respecting articles and prepositions (de, da, do, e, ou) per editorial rules.
Remove Blank Lines (with collapse)
Delete blank or whitespace-only lines from a text block, optionally collapsing multiples into one.
Number Lines like cat -n
Add line numbers (with configurable padding and custom separator) to any text, just like `cat -n`.
Monospace Justify Text
Justify text in a fixed width of N columns distributing spaces between words — useful for ASCII art and reports in mono fonts.
Wrap Text at Fixed Width
Auto-wrap paragraphs at fixed width (e.g. 72 columns for plain-text emails) respecting whole words.
HTML Entities Encoder (Full)
Convert <, >, &, quotes and non-ASCII chars to named or numeric HTML entities (decimal/hex) with mode selector.
Markdown ↔ HTML Converter
Convert CommonMark Markdown to semantic HTML and back, with tables, code, footnotes and task lists — all client-side.
Markdown Link Reference Converter
Convert inline Markdown links `[txt](url)` to reference style `[txt][1]` (and back) to keep long documents tidy.
Zero-Width Watermark
Embed an identifier (name, ID, email) as invisible zero-width characters inside public text to detect leaks.
English IPA Transcription (CMU)
Convert English words to IPA phonetic transcription using an embedded CMU dictionary. AmE and BrE pronunciation supported.
ASCII Directory Tree
Paste an indented structure and get an ASCII `tree`-style output to paste into a README. Folder and file icons supported.
Emoji ↔ Shortcode Converter
Convert Unicode emojis to GitHub/Slack-style shortcodes (:rocket:, :fire:) and back. Useful for READMEs and chats.
Lorem Ipsum Hindi (Devanagari)
Generate Hindi placeholder text using the Devanagari script for multilingual design mockups and RTL/LTR font testing.
Lorem Ipsum Chinese (Hanzi)
Generate simplified Chinese Lorem Ipsum text for visual prototypes using CJK characters. Paragraphs and words supported.
Date/Time Format Detector
Paste any date or timestamp (logs, spreadsheets, API) and identify the format: ISO 8601, RFC 3339, Unix, RFC 2822 and dozens more.
Anagram Solver (PT-BR)
Paste shuffled letters and find every valid Portuguese word. Useful for crosswords, scrabble and word puzzles.
YAML Front Matter Builder
Generate YAML front matter blocks (Jekyll/Hugo/Astro/Eleventy) with title, date, tags, draft, layout and custom fields.
Lorem Corporate PT
Placeholder text generator with Brazilian corporate jargon: synergy, deliverable, stakeholder and meeting clichés.
Lorem Hipster PT
Placeholder text generator with Brazilian hipster references: specialty coffee, vinyl, fixie and artisanal brunch.
CSV Merge Vertical
Combine multiple CSV files by concatenating rows, with header detection and unification. 100% in-browser, no upload.
CSV Split Rows
Split large CSV files into N chunks keeping the header on each part. Useful for batch uploads.
CSV Dedupe by Key
Remove duplicate rows from CSV using one or more columns as the comparison key. Optional case-insensitive. Handles 1M+ rows.
CSS Color Name Lookup
Look up the CSS name of a color from its hex (or vice versa) and show the 5 nearest names by RGB distance.
ASCII Directory Tree
Convert an indented list of folders/files into a visual tree like the Unix `tree` utility with └── and ├──.
Columnize (column -t)
Align lines into columns with a customizable separator, replicating the Unix `column -t` utility in the browser.
Grapheme & Byte Counter
Count graphemes, code points, UTF-8 and UTF-16 bytes of a string — useful for composite emojis and ZWJ sequences.
Word Frequency Counter
Count occurrences of each unique word in a text and display the ranking with percentage — no upload.
ASCII Box Border
Wrap a block of text in an ASCII border with selectable styles (single line, double, rounded, shadow).
Regex Escape
Escape regex metacharacters (.*+?^$()[]{}|\) in a string for safe use in regular expressions.
LaTeX Escape
Escape special LaTeX characters (% _ & # $ { } ~ ^ \) for safe use in formulas and documents.
Encoding Detector (UTF-8/Latin-1/UTF-16)
Detect encoding of pasted bytes or file (UTF-8, Latin-1, Windows-1252, UTF-16 LE/BE) and show BOM if present.
BOM Remover (UTF-8/UTF-16)
Remove the BOM (Byte Order Mark) of UTF-8/UTF-16 LE/BE from text or file, and show removed bytes in hex.
Deduplicate Lines
Remove duplicate lines keeping first occurrence or counting frequency with case-sensitive and trim options.
Sort Lines (Natural Sort)
Sort lines with natural sort (file1, file2, file10 in human order) ascending/descending with case-insensitive mode.
Reverse Line Order
Reverse line order (last becomes first) — useful to flip logs or generate bottom-up lists.
Stoic Quote Generator
Generate a random stoic quote translated from Marcus Aurelius, Seneca or Epictetus, with source (book/chapter) and translator.
Zen Koan Generator
Generate a random Zen koan (Buddhist paradox) from Mumonkan/Hekiganroku corpus, with Portuguese translation.
Decasyllable Checker (PT-BR)
Count poetic syllables of each verse in PT-BR and mark heroic/sapphic decasyllable, indicating tonic positions 6 and 10.
Smart Quotes Converter (Curly to Straight)
Convert typographic curly quotes to ASCII straight quotes and back, including em/en dashes, ideal to prepare text before pasting into code.
Em Dash and En Dash Fixer
Replaces double hyphens with em dash, hyphens in numeric ranges with en dash and triple dots with unicode ellipsis.
Fixed-Width Monospace Justifier
Justify text blocks distributing spaces so each line has exactly N characters, useful for retro terminal-style formatting.
Portuguese Lemmatizer
Reduces words to their canonical form (lemma), grouping morphological variations like plurals, verb conjugations and inflections for lexical analysis.
Type-Token Ratio (TTR/MATTR/Honore)
Computes lexical richness of a text via TTR, MATTR and Honore R, metrics used in stylometry, literary analysis and forensic linguistics.
Word Cloud SVG Generator
Generates a word cloud from text highlighting most frequent terms with proportional size, exportable as SVG.
Poetry Rhyme Scheme
Identifies the rhyme scheme of a poem, marking verses with letters A, B, C to show patterns like ABAB, AABB or free schemes.
Portuguese Stress Syllable
Identifies and highlights the stressed (tonic) syllable of each Portuguese word, classifying as oxytone, paroxytone or proparoxytone.
HTML Entity Lookup
Search named (amp, copy, mdash) and numeric HTML entities, with Unicode codepoint and usage examples.
ASCII Fold (Diacritics & Ligatures)
Applies ASCII fold removing diacritics and mapping ligatures (ae, oe, ss) to ASCII equivalents per Unicode.
UTF-8 / UTF-16 to Hex Converter
Convert a string between UTF-8 and UTF-16 (LE/BE) hex representations byte by byte for encoding debugging.
Mask Emails (PII / GDPR)
Detect email addresses in text and mask keeping first letter and domain (j***[email protected]) for privacy.
Mask Credit Cards (Luhn)
Finds credit card numbers (Luhn-valid) in text and masks keeping only initial BIN and last 4 digits.
Mask BR Phone Numbers
Detects Brazilian phones (landline/mobile with or without country code) and masks middle digits keeping area code and last digits.
ANSI Escape Strip (Logs)
Removes ANSI escape sequences (colors, attributes, cursor) from terminal logs to produce clean readable text.
Limerick Verifier (PT)
Analyzes 5 lines as a limerick checking AABBA rhyme scheme and typical stressed syllable count.
Text Rebus Generator
Create text rebuses using emojis and symbols to represent words or phrases, with a Portuguese clue library and export.
CSV PII Anonymizer
Mask sensitive data (CPF, email, name, phone) in selected CSV columns with deterministic hash or reversible tokenization.
Extended Glob Pattern Builder
Build extended glob patterns with globstar, brace expansion, character classes and quantifiers for gitignore and build scripts.
CSV Five-Number Summary
Compute min, Q1, median, Q3 and max for numeric CSV columns (boxplot stats) with IQR, outliers (1.5xIQR rule) and per-column count.
CSV Cardinality and Distinct
Count distinct values per CSV column showing cardinality, top-K most frequent values and per-column null percentage.
Snowball Stemmer Portuguese
Apply the Snowball algorithm (porter2) for Portuguese, returning each word stem with a visual diff between original and extracted radical.
CSV Pivot Builder
Create pivot tables in CSV (group by + sum/avg/count/min/max aggregation), choosing row, column and measure visually.
Portuguese Rhyme Finder
Find perfect, assonant and consonant rhymes in Portuguese from a base word, filtering by syllables, grammatical class and popularity.
Brainfuck Interpreter
Run Brainfuck programs in your browser with a visualized memory tape, pointer, instruction counter, and input/output.
Ook! Bidirectional Cipher
Convert between Brainfuck and Ook! (1:1 substitution of the 8 tokens) and run both in the browser.
Whitespace Decoder
Visualize Whitespace programs by coloring invisible chars (space, tab, LF) and map them to mnemonics.
IPA Phonemes PT-BR
Transcribe Brazilian Portuguese words to the International Phonetic Alphabet (IPA) with basic syllabic rules and stress.
IPA Virtual Keyboard
Clickable keyboard with all IPA symbols (consonants, vowels, diacritics, suprasegmentals) to insert phonetic transcriptions.
Metaphone 3 PT Phonetic
Apply Metaphone 3 (extended) on PT-BR words, generating a more precise phonetic key than classic Metaphone for name matching.
Double Metaphone Comparator
Compute two Double Metaphone keys (primary and alternate) per word and compare phonetic similarity between two names.
Caverphone Phonetic
Compute the Caverphone 2 key (10 chars) used in historical records for phonetic name matching.
Rhyme Finder PT-BR v2
Find perfect and assonant rhymes in Portuguese from a word. Filter by stress and number of syllables.
Syllable Stress PT
Paste a word or sentence and see the stressed syllable marked for each token. Classifies as oxytone, paroxytone or proparoxytone.
Zero-Width Watermark Detector
Detect zero-width characters in text and identify the pattern (LLM watermark, simple steganography, binary encoding).
Multilingual Sentence Splitter
Split text into sentences respecting abbreviations in PT, EN, ES. Preserves punctuation and respects Dr., Sr., Sra., etc.
Passive Voice Detector PT
Identifies sentences in passive voice (analytic and synthetic) in PT-BR texts. Highlights each occurrence and suggests active reformulation.
Customizable Bionic Reading
Convert text to Bionic Reading with granular control of fixation (40/50/60/70%), jumps and contrast. Exports HTML.
Poetry Scansion PT
Analyzes the meter of verses in Portuguese indicating number of poetic syllables, stress position and type (decasyllable, redondilha).
Acrostic Builder with Theme
Creates acrostics from a word or name in PT-BR, generating lines starting with the letters, with configurable theme.
Overline Unicode Text
Inserts the combining character U+0305 after each letter, producing overline text. Useful for math notation in chat.
Underline Unicode Text
Adds U+0332 between letters producing underlined text that pastes as plain text in chats, Discord and Twitter without formatting.
Double Underline Unicode
Applies combining character U+0333 to each letter producing double underline in plain text. Useful to emphasize conclusions in messages.
Tilde Strikethrough Unicode
Inserts U+0334 (tilde overlay) between characters creating wavy strikethrough distinct from traditional strikethrough. Appears as plain text.
Yule I Lexical Diversity
Computes the Yule I lexical richness measure (inverse of Yule K) which avoids the length bias of TTR. Indicates the author vocabulary variety.
MTLD Lexical Diversity
Computes MTLD, a robust lexical diversity indicator that segments the text and measures the mean length until TTR drops below 0.72.
Letter-Spacing CSS Calculator
Calculates letter-spacing in em/px/% from font size and desired tracking (in thousandths of an em). Generates CSS ready to paste.
Markdown to Plain Text
Strips all Markdown syntax (headers, lists, links, code, emphasis) returning clean text ready to paste in e-mail or notes.
String Permutations Lister
Generates all unique (de-duplicated) permutations of the letters of a string up to 7 characters. Shows count and exports the list.
Jefferson Wheel Cipher / M-138-A
Thomas Jefferson's wheel cipher, also used as the US Army M-138-A. 25 alphabet disks; encrypt by choosing an offset row. Includes the actual M-138-A wheel order.
Homophonic Substitution Cipher
Replace each letter with one of several numbers/symbols from a homophonic alphabet, distributed proportionally to letter frequency. More resistant to frequency analysis than monoalphabetic substitution.
Control Character Finder (C0/C1)
Scan text and list positions of invisible control characters: C0 (0x00–0x1F), DEL (0x7F) and C1 (0x80–0x9F). Useful for spotting BOM, zero-width, hidden escapes. Lets you copy each character.
Accent-Insensitive Sort (pt-BR collation)
Paste a list (one per line) and sort alphabetically in pt-BR ignoring accents and case via Intl.Collator (sensitivity: base) — same behavior as ORDER BY COLLATE pt_BR.UTF-8 in PostgreSQL.
Look-and-Say Sequence Generator (Conway)
Generate Conway's Look-and-Say sequence: each term describes the previous one as runs of (count, digit). 1 → 11 → 21 → 1211 → 111221 → 312211… Shows the growth ratio that tends to Conway's constant λ ≈ 1.3036.
QWERTY ↔ Dvorak Converter
Transcribe text between QWERTY and Dvorak keyboard layouts, showing what would come out if you typed the same physical keys on the other layout. Handy for recovering text typed with the wrong layout.
Portuguese Ordinal Number Converter
Convert a cardinal number (1, 2, 3…) into its written Portuguese ordinal (primeiro, segundo, terceiro…) and the abbreviated form (1º, 2º). Covers 1 to 999 in masculine and feminine forms.
Chinese Numerals Converter
Convert Arabic numbers (1, 2, 3…) into Chinese numerals (一, 二, 三…) and back, with traditional grouping by tens, hundreds, thousands and ten-thousands (万), including zero insertion (零). Supports integers from 0 to 99,999,999.
Hebrew Gematria Calculator
Convert a number into Hebrew numerals (gematria), including the special cases 15 (טו) and 16 (טז), and compute the value of a Hebrew word by summing its letters.
Spanish Number to Words Converter
Convert a number into its written Spanish form (uno, dos, tres… veintiuno, cien, mil…). Covers 0 to 999,999, with the language's contractions (veintiuno, doscientos).
Upside Down Text Generator
Flip your text upside down (ɐxɥǝ) using look-alike Unicode characters with the letter order reversed. Great for profile names, bios and fun comments on social media.
Clap 👏 Text Generator
Insert 👏 the 👏 clap 👏 emoji 👏 between 👏 every 👏 word of your text — the famous 'clap text' used for emphasis in social posts. Pick the separator emoji.
Regional Indicator (Flag) Generator
Convert letters (A–Z) into Unicode regional indicator symbols (🇦–🇿). Two indicators together form a country flag: BR becomes 🇧🇷. Widely used on social media and profile names.
Fractions to Unicode Converter
Convert common slash fractions (1/2, 3/4, 1/3…) into Unicode fraction characters (½, ¾, ⅓…) and back. Great for recipes, text and anywhere without a formula editor.
Circled Numbers Converter
Convert numbers (0 to 20) and letters into Unicode circled characters (① ② ③ … Ⓐ Ⓑ) and back. Used in lists, captions and decorated text on social media.
Unicode Roman Numerals Converter
Convert a number (1 to 12) into the single-code-point Unicode Roman numeral characters (Ⅰ, Ⅱ, … Ⅻ), distinct from the regular letters I and II. Used on clocks, lists and fine typography.
📅 Dates
Lunar Calendar
Shows the 4 main moon phases (new, first quarter, full, last quarter) for an entire month with exact dates.
Age Calculator
Calculates exact age in years, months, days and total in hours/minutes/seconds from a birth date.
Day Counter
Counts days between two dates (including or excluding weekends). Also computes weeks, months and full years.
Countdown
Live countdown to a date and time. Updates every second showing remaining days, hours, minutes and seconds.
Season
Shows the current season (summer, autumn, winter, spring) in the Southern or Northern Hemisphere for any date.
Week & Day of Year
For any date, computes the ISO 8601 week number, day of year (1-366) and the quarter.
Moon Phase
Computes the current moon phase (new, waxing, full, waning) and the illumination percentage for any date.
Brazilian Holidays
Lists Brazilian national holidays (including movable: Carnival, Easter, Good Friday, Corpus Christi) for any year between 1900 and 2100.
Date Difference Calculator
Calculate the difference in days, weeks, months and years between two dates. Instant result in the browser.
Add Days to Date
Calculate the resulting date when adding N days to a start date. Instant result with correct leap year handling.
Subtract Days from Date
Calculate the resulting date when subtracting N days from a date. Instant result with correct leap year handling.
Calendar with Brazilian Holidays
View all 12 months in one page with Brazilian national holidays highlighted. Navigate between years and check fixed and movable holidays.
Time Lived Calculator
Discover exactly how long you have lived: years, months, days, hours and weeks since your date of birth.
Business Days Calculator
Calculate the number of business days (Monday to Friday) between two dates. Shows total days, business days and weekends.
Age on Other Planets
See how old you would be on Mercury, Venus, Mars, Jupiter, Saturn, Uranus, Neptune and Pluto — based on each planet orbital period. Everything in your browser.
Next Birthday Countdown
How many days, hours, minutes and seconds until your next birthday? Also shows which day of the week it falls on. Everything in your browser.
Leap Year Checker
Check whether a year is leap following Gregorian calendar rules (divisible by 4, except non-400 centuries). Lists the next N. Everything in your browser.
Event Countdown
Enter an event date and see precise countdown in days, hours, minutes and seconds. Useful for parties, trips and launches. Everything in your browser.
Retirement Countdown (BR)
Estimate years until retirement under post-Reform rules: minimum age and contribution time (men/women). Everything in your browser.
ISO 8601 Duration Parser
Decompose an ISO 8601 duration (PT1H30M, P1Y2M3DT4H) into years, months, days, hours, minutes and seconds. Shows total in seconds.
ISO 8601 Duration Builder
Fill in years, months, days, hours, minutes and seconds and generate the ISO 8601 string (e.g. P1Y2M3DT4H5M6S).
Relative Timestamp (X time ago)
Paste a timestamp or date and view its relative representation in Portuguese (3 days ago, in 2 hours) like timeago libraries.
Western Zodiac
Show Western zodiac sign for a given date.
Chinese Zodiac
Compute Chinese zodiac sign from year.
Easter Date (any year)
Compute Christian Easter date for any year (Gauss/Anonymous algorithm).
Working Days Counter
Count working days (Mon-Fri) between two dates.
Live Elapsed Timer
Show live elapsed time since a given datetime.
ISO Week Number
Compute ISO 8601 week number (1-53) for any date. Weeks start Monday; week 1 contains the first Thursday of the year.
Working Days Until Date
Compute how many working days (Mon-Fri) until a date. Option: subtract Brazilian national holidays.
Next Friday the 13th
Find the next Friday the 13th and list the upcoming 10 dates. Also shows the previous one.
Days Until Christmas
Count days until next Christmas (Dec 25) — in calendar days, working days (BR) and hours. Live updates.
Age on Specific Date
Compute how old someone will be on a future (or past) date, given their birthdate.
Carnival Date (any year)
Compute Carnival Tuesday (47 days before Easter) for any year, plus surrounding days.
Corpus Christi Date
Compute Corpus Christi date (60 days after Easter, always a Thursday).
ISO 8601 Week Number
Show ISO 8601 week number and year-week (YYYY-Www) for a given date.
Day/Night Duration
Approximate day/night duration for a given date, latitude and longitude.
Brazilian Junina Festas Dates
Show Brazilian Junina festas dates for a year and weekday of each.
Holidays in Month Counter
List Brazilian national holidays in a specific month/year.
Timezone Difference Calculator
Show difference in hours between two timezones for a given moment.
Today in Hijri Calendar
Show current Gregorian date in the Hijri (Islamic) calendar using arithmetic algorithm.
Yearly Calendar SVG
Generate a 12-month yearly calendar as SVG, ready to print or embed.
Days until end of month
Count days and hours until the last day of current month.
ISO Week ↔ Date
Convert ISO 8601 week (e.g. 2026-W19) to the Monday date and vice-versa.
Intermittent Fasting Timer
Compute eating window and fasting times (16/8, 18/6, 20/4, OMAD) from last meal time.
Menstrual Cycle Predictor
Estimate next periods and fertile window from last period date and average cycle length.
Brazilian Children Vaccination Schedule
From birth date, show expected dates for main vaccines in the Brazilian PNI schedule.
Next Full Moons
List next N full moons from today using mean synodic cycle 29.53059 days.
Ramadan Date (approx)
Compute approximate start of Ramadan for a year (Hijri 9th month).
Rosh Hashanah Date (approx)
Approximate Rosh Hashanah (Jewish New Year, 1 Tishrei) for given Gregorian year.
Year Equinoxes and Solstices
Show 4 approximate dates for equinoxes (Mar/Sep) and solstices (Jun/Dec).
Gestational Week → Date
Compute date corresponding to gestational week from LMP.
Jet Lag Recovery Calculator
Estimate jet lag recovery (~1 day per timezone) and ideal light/sleep windows.
Monthly Calendar SVG
Generate full monthly calendar SVG with weekday headers and current day highlight.
Multi-format Timestamp Resolver
Parse timestamp in multiple formats (Unix s/ms, ISO 8601, RFC 2822, .NET ticks) and show all conversions.
Quarter End Countdown
Count days and hours until end of current fiscal quarter (Q1-Q4).
Year End Countdown
Count days, hours and minutes until New Year. Updates in real time and shows year elapsed percentage.
Full Zodiac Year Map
List 12 Western zodiac signs with exact dates, element and ruling planet in table.
Good Friday Date Calculator
Compute Good Friday date for any year. Equals 2 days before Catholic Easter.
Aztec Zodiac Sign
Compute Aztec zodiac (Tonalpohualli) from birthdate. 20 cyclic signs: Cipactli, Ehécatl, Calli, etc.
Julian Day Number
Compute Julian Day (JD) — continuous day count from January 1, 4713 BC. Standard in astronomy and geophysics.
Weeks Until Date
Compute weeks (and residual days) until a target date. For pregnancy, long deadlines and countdowns.
Estimated Remaining Lifetime
Estimate remaining lifetime from current age and life expectancy (default BR ~76). Years, days, hours. Playful, not medical.
Christmas Novena Dates
Compute the 9 Christmas Novena dates (Dec 16-24) for a given year. Catholic tradition before Christmas.
Pentecost Novena Dates
Compute the Pentecost Novena dates (9 days between Ascension and Pentecost) for a year. 9 days after Ascension.
Full Moon Dates of the Year
Compute the ~12-13 full moons of a year using a 29.53-day lunar cycle. For astrology, gardening, planning.
Eclipse Dates (Approximate)
Approximate list of solar and lunar eclipses of a year using the Saros cycle. Estimate only — use NASA Eclipse Site for accuracy.
Portugal National Holidays
List Portugal national holidays for a year: Jan 1, Apr 25, May 1, Easter, Jun 10, Aug 15, Oct 5, Nov 1, Dec 1/8/25 + Carnival (movable).
Orthodox Easter Date
Compute Easter date in the Julian (Orthodox) calendar, different from Catholic Easter. Meeus algorithm. Years 1900-2100.
Walpurgis Night Date
Compute Walpurgis Night date (April 30 → May 1) — traditional European celebration. Day of week and adjacent dates.
June Feasts Dates
List the 3 major June feast days for a year: St. Anthony (Jun 13), St. John (Jun 24), St. Peter (Jun 29).
Leap Years in a Decade
List all leap years in a decade (e.g., 2020-2029) using Gregorian rules (div by 4, except secular not div by 400).
Yom Kippur Date
Compute approximate Yom Kippur date (Jewish Day of Atonement) for a year. Falls on 10 Tishrei.
Rosh Hashanah Date
Compute approximate Rosh Hashanah date (Jewish New Year) for a year. Falls on 1 Tishrei. Table 2024-2030.
Eid al-Fitr Date
Compute Eid al-Fitr (end of Ramadan, Islamic calendar). Table 2024-2030 based on lunar observation.
St. John's Eve Date
Compute Jun 23 (eve) and Jun 24 (day) — traditional St. John's Night, celebrated in Portugal and Brazil. Day of week.
Buddhist ⇄ Gregorian Year Converter
Convert between Buddhist calendar (used in Thailand and SE Asia) and Gregorian. 543-year difference.
New Year Midnight Countdown
Compute time until midnight Dec 31 (year change) in local time. Live updates.
Christmas Eve Countdown
Show time left until midnight Dec 24 (Christmas Eve). Live updates with days, hours, minutes, seconds.
Paschal Full Moon Date
Compute date of ecclesiastical full moon that defines Easter (on or after spring equinox). Table 2024-2030.
Lunar Eclipse Dates (2024-2030)
List scheduled lunar eclipses for a year: date, type (total, partial, penumbral), magnitude, approximate visibility.
New Year Around the World (timezones)
Show when New Year midnight arrived (or will arrive) in different cities worldwide: Sydney, Tokyo, Lisbon, NYC, etc.
US Federal Holidays
List the 11 US federal holidays for a year: New Years, MLK Day, Presidents Day, Memorial Day, Independence Day, etc.
Equinoxes and Solstices Dates
Show approximate dates of 2 equinoxes (Mar/Sep) and 2 solstices (Jun/Dec) for a year. Approximate (±1 day).
ISO Week from Date (Complete)
Compute ISO 8601 week number from a date.
Brazilian Folk Festivals
Calendar of Brazil's main folk festivals.
Bumba meu Boi Festival
Maranhão folk festival in June/July.
Folia de Reis Festival
Catholic folk tradition Dec 24 – Jan 6.
Cavalhadas Festival
Medieval Moors vs. Christians reenactment in Pirenópolis, GO.
Canela Festival
Tourism festivals of Canela, RS.
Eclipses of the Month
Upcoming solar and lunar eclipses (2024-2026).
Comets at Perihelion
Known comets approaching perihelion (2024-2030).
Tides of the Week
Weekly tide highs and lows.
Moon Phases (Month Chart)
Lunar phase for a given date.
Extreme Tides by City
How to find extreme tides for coastal cities.
Aurora Borealis Dates
Best dates to see Northern Lights.
Longest Night of the Year
Winter solstice in each hemisphere.
Shortest Night of the Year
Summer solstice in each hemisphere.
Precession of Equinoxes
Earth's axial precession cycle.
Emperor's Birthday (Japan)
Japanese national holiday — Emperor Naruhito's birthday.
Japanese Era Year
Convert Gregorian year to Reiwa era (year - 2018).
Thai Buddhist Year
Convert Gregorian to Thai Buddhist calendar (AD + 543).
Korean Dangi Year
Convert Gregorian to Korean Dangi calendar (AD + 2333).
Vietnamese Year
Vietnamese lunar zodiac animal for a given year.
Dias Úteis BR
Conta dias úteis entre duas datas descontando finais de semana e feriados nacionais.
Sextas-feiras 13 do Ano
Lista todas as sextas-feiras 13 do ano informado.
Próxima Sexta 13
Encontra a próxima sexta-feira 13 a partir de hoje.
Próximos Eclipses (2026-2030)
Lista eclipses solares e lunares conhecidos no período (dados estáticos).
Hijri ↔ Gregoriano
Conversor aproximado entre calendário hijri (islâmico lunar) e gregoriano.
Idade Gestacional por DUM
Calcula semanas/dias gestacionais a partir da data da última menstruação e data atual.
Data Provável Parto (Naegele)
Calcula data provável do parto: DUM + 280 dias (regra de Naegele).
Quanto Falta p/ 18 Anos
Calcula quantos dias faltam até a maioridade civil.
Quanto Falta p/ 65 Anos
Calcula quantos dias faltam até completar 65 anos.
Próximo Ano Bissexto
Encontra o próximo ano bissexto a partir do ano informado.
Dias Úteis EUA
Conta dias úteis entre duas datas descontando finais de semana e feriados federais EUA.
Era Japonesa (Nengō)
Converte ano gregoriano em era japonesa (Reiwa, Heisei, Shōwa, Taishō, Meiji).
Calendário Persa (aprox)
Aproxima a conversão entre gregoriano e calendário persa (Jalali).
Quanto Tempo Desde Evento
Calcula tempo desde um evento histórico em anos, meses e dias.
Dia da Semana de Data Histórica
Mostra o dia da semana de qualquer data desde 0001 até 9999.
Modified Julian Date (MJD)
Convert civil date to MJD (Modified Julian Date), used in astronomy. MJD = JD - 2400000.5. Starts at 1858-11-17, simplifies astronomical math.
Ordinal Day of Year
Return the ordinal day number in the year (1 to 365/366) and how many days are left until year-end. Useful in meteorology and agriculture.
Mayan Haab Calendar
Convert Gregorian date to the Haab calendar (365 days, 18 months × 20 days + Wayeb of 5) used by the ancient Maya. Historical approximation.
Akan Day Name
Return the Akan day name (West African system, Ghana) based on the day of week. Babies are given the day-name of their birth (e.g. Kofi = Friday).
Decimal Day of Year
Calculate the decimal day of year (0-1 fraction) representing the date's position in the annual cycle. Used in climate models and phenology.
Star Trek Stardate
Convert Earth date to Star Trek TNG-era Stardate (1000 units per year, baselined to 2323). Geek fun with the official TNG-era formula.
Hebrew Calendar Converter
Converts a Gregorian date to the Hebrew calendar (approximate Hebrew month and year).
Islamic Hijri Converter
Converts a Gregorian date to a Hijri (tabular Islamic calendar) date.
Persian Jalali Converter
Converts a Gregorian date to the Jalali (Persian/Iranian) calendar.
Bengali Calendar Converter
Converts a Gregorian date to the Bengali (Bangabda) calendar.
Indian Saka Converter
Converts a Gregorian date to the Saka (Indian National) calendar.
Coptic Calendar Converter
Converts a Gregorian date to the Coptic (Egyptian Christian) calendar.
Ethiopian Calendar Converter
Converts a Gregorian date to the Ethiopian (Ge ez) calendar.
French Republican Converter
Converts a Gregorian date to the French Republican calendar (1792-1806).
Shire Reckoning Converter
Converts a Gregorian date to the Shire Reckoning (Lord of the Rings) calendar.
Stardate TNG Converter
Converts a Gregorian date to a Stardate in Star Trek The Next Generation format.
Next Sunday Countdown
Shows the date of the next Sunday and days remaining from the input date.
Next Saturday Countdown
Shows the date of the next Saturday and days remaining from the input date.
Next Full Moon
Computes approximate next Full Moon date from the input date.
Chinese Zodiac Year
Shows the Chinese zodiac sign for the given year (Rat, Ox, Tiger...).
Western Zodiac Month Day
Shows the western zodiac sign for given month and day (Aries, Taurus, Gemini...).
São Paulo City Holidays
Lists all municipal holidays and optional days off for the city of São Paulo for the selected year.
Rio de Janeiro City Holidays
Shows official municipal holidays for Rio de Janeiro (Saint Sebastian Jan 20, City Anniversary Mar 1, Saint George Apr 23).
Fifth Business Day Calculator
Computes the 5th business day of each month — Brazilian CLT reference date for salary payment.
Brazilian Appeal Deadline
Computes the final deadline for a procedural appeal in business days from notification (CPC art. 219) — useful for lawyers.
Brazilian IRPF Tax Calendar
Shows Brazilian personal income tax (IRPF) filing deadlines per year (open, close, refund batches).
Next Brazilian Election
Shows the next general/municipal election in Brazil, days remaining and likely runoff date.
Brazilian Daylight Saving History
Shows start/end dates of Brazilian daylight saving time for every year it was in effect (up to 2019).
Brazilian June Festivals Eves
Computes the eves of Saint Anthony (Jun 12), Saint John (Jun 23) and Saint Peter (Jun 28) and weekdays for each.
Birthday Weekday — Future Years
Shows the weekday of the next 10 birthdays for a person — useful for planning parties.
One Billion Seconds Birthday
Computes the exact moment you complete 1 billion seconds of life — a quirky milestone rarely remembered.
Earth Perihelion and Aphelion of the Year
Shows approximate dates of perihelion (Earth closest to Sun) and aphelion for the year — annual astronomical events.
Next Planetary Conjunctions
Lists the next visible planetary conjunctions (Venus-Jupiter, Mars-Saturn etc.) with date and approximate angular separation.
Yearly Meteor Showers
Shows calendar of major meteor showers (Perseids, Geminids, Leonids) with peak, ZHR and moon phase at peak.
Yearly New Moon Nights
Lists all new moon dates of the year — best nights for deep-sky astronomical observation.
Solar Midnight (Anti-Meridian)
Computes the solar midnight moment (Sun at lowest point) for a date + longitude — differs from civil midnight.
Sunrise Azimuth
Computes sunrise azimuth for a given date + latitude — useful for photography, urbanism and solar architecture.
Civil Twilight Duration
Computes minutes of civil, nautical and astronomical twilight for a date and latitude — for photographers and navigators.
Solar Eclipses of the Decade
Lists all solar eclipses (total/annular/partial) predicted in a selected decade with date and visibility regions.
Next Asteroid Approaches
Shows next known approaches of PHA asteroids with date, distance in LD and estimated size.
ISS Visibility Windows
Shows average daily ISS visibility windows for Brazilian latitudes — explainer with no external calls.
Mayan Tzolkin Calendar Converter
Converts Gregorian date to Mayan Tzolkin (260-day sacred calendar) with glyph name and number.
Mayan Haab Calendar Converter
Converts Gregorian date to Mayan Haab civil calendar (365 days) — 18 months of 20 days plus Wayeb.
Chinese Stem-Branch Year
Shows the Heavenly Stem + Earthly Branch pillar of the Chinese year — e.g. 甲子 Jiǎzǐ — with zodiac animal.
Julian ↔ Gregorian Converter
Converts dates between Julian and Gregorian calendars — useful for historical dates before 1582.
French Republican Calendar
Converts Gregorian date to French Republican calendar (Vendémiaire, Brumaire…) used 1793–1805.
Coptic Calendar
Converts Gregorian date to the Coptic (Egyptian Christian) calendar used by the Coptic Orthodox Church.
Ethiopian Calendar
Converts Gregorian date to the Ethiopian (Geʼez) calendar — runs 7–8 years behind and has 13 months.
Personal Tzolkin Birth Day
Computes the Tzolkin glyph and number of your birthday — popular Mayan cultural interpretation.
ISO vs Sunday Week Numbering
Shows differences between ISO 8601 (Monday-start) and US (Sunday-start) week numbering for a date.
New Year Around the World
Order in which New Year arrives across major cities — first Kiritimati, then Auckland, Sydney…
City Anniversary Time (Brazil)
Computes years since a Brazilian city foundation anniversary based on founding year.
State Foundation Time (Brazil)
Computes years since a Brazilian state official creation based on its founding year.
Brazilian President Term Length
Computes the duration in days of a Brazilian presidential term given start and end years.
Plano Real Years
Computes how many years have passed since the launch of Brazil Plano Real (July 1994).
Rio-92 Time Since
Computes how many years have passed since the Rio-92 (ECO-92) UN conference held in June 1992.
Rio 2016 Olympics Time Since
Computes years since the Rio 2016 Olympics opening (August 2016).
World Cup 2014 Brazil Time Since
Computes years since the 2014 FIFA World Cup hosted by Brazil.
Fiscal Quarter of a Date
Enter a date and see which fiscal quarter (Q1-Q4) it belongs to, with quarter start/end dates and days remaining until end.
Nth Weekday of a Month
Finds the date of the Nth occurrence of a weekday in a month (e.g. 2nd Tuesday of March/2026) — useful for recurring meetings.
RFC 3339 / RFC 2822 / ISO 8601 Converter
Convert dates between RFC 3339, RFC 2822, ISO 8601, Unix timestamp and human format. Supports time zones and nanoseconds.
Batch ICS Calendar Event Generator (CSV)
Create multiple iCalendar (.ics) events at once from a CSV table (title, date, time, duration, location) to import into Google/Outlook.
Gregorian Thai Buddhist Date Converter
Convert Gregorian Thai Buddhist date (BE = CE + 543), still officially used in Thailand.
Chinese Zodiac with Element
Returns animal (Rat, Ox, Tiger…), element (Earth/Wood/Fire/Metal/Water) and sign for a Gregorian year.
Perpetual Calendar (1583+)
View the full calendar of any year (1583 onward) with Brazilian national holidays marked and ISO week numbering.
Doomsday Rule (Conway)
Mentally calculate the day of week for any date using Conway's Doomsday Rule, with step-by-step anchor and doomsday of year.
ISO 8601 Duration Builder
Build ISO 8601 durations (`P3Y2M5DT4H30M`) with years/months/days/hours/min/secs sliders, or parse an existing one to human form.
ICS Calendar Builder (Recurring)
Generate an `.ics` file with recurring events (FREQ daily/weekly/monthly, BYDAY, COUNT/UNTIL), VALARM alarms and multiple attendees.
Meeting Planner by Timezones
Select 2 to 10 timezones and view a visual time grid with cells colored by business hours. Find overlap windows.
ISO 8601 Week Date Converter
Convert between Gregorian date and ISO week format (2026-W21-2). Supports the special 52/53-week rule and ISO year != calendar year.
Swatch Internet Time
Convert current time or any time to Swatch .beat (1 beat = 86.4s), format @000 to @999 with no time zone.
Sidereal Time (GMST)
Compute Greenwich Mean Sidereal Time (GMST) for a UTC date using Meeus formula — useful for astronomy.
Ethiopian Calendar Converter
Converts dates between Ethiopian calendar (Ge'ez, 13 months, year +7/+8) and Gregorian useful for Ethiopian diaspora and Rastafari.
Persian Calendar (Shamsi/Jalali) Converter
Converts dates between Persian Hijri Shamsi (Jalali, used in Iran/Afghanistan) and Gregorian with month names.
Golden Hour Calculator
Calculates golden hour, blue hour, sunrise, sunset, solar noon and civil, nautical, astronomical twilight times for any city and date.
Local Sidereal Time (GMST/LST)
Calculates Greenwich Mean Sidereal Time (GMST) and Local Sidereal Time (LST) for geographic coordinates and a specific date, used in amateur astronomy.
Epiphany Date (Catholic / Orthodox)
Calculates Epiphany date (January 6) and the mobile Sunday of Epiphany in Catholic and Orthodox calendars.
First Sunday of Advent
Calculates the first Sunday of Advent (four Sundays before Christmas) for any Gregorian year.
Rata Die Converter
Convert dates between the Gregorian calendar and Rata Die (Reingold/Dershowitz), the serial number used in bibliography and history systems.
Fiscal Week and Broadcast Calendar
Convert dates between fiscal week (4-4-5, 4-5-4, 5-4-4) and Broadcast Calendar (NABBA, week starts on Monday), with adjustable fiscal year.
French Revolutionary Calendar
Convert Gregorian dates to the French Revolutionary Calendar (1793-1805) with month name (Vendémiaire, Brumaire) and décade.
French Decimal Time Converter
Convert standard time (24h) to French Decimal Time (10 hours/day, 100 min/hour, 100 s/min) and vice versa.
Lunar Religious Festivals by Year
Show dates of lunar festivals (Ramadan, Passover, Orthodox Easter, Diwali, Chinese New Year) for any year between 2020 and 2050.
Equinox and Solstice by Timezone
Exact dates of equinoxes and solstices (UT) converted to chosen timezone, with second-level precision.
Hebrew Calendar Converter
Converts Gregorian date to Hebrew (Tishrei, Heshvan etc.), with Hebrew year (5786, 5787...) and festival identification. Sephardic algorithm.
Buddhist Calendar Converter
Converts Gregorian date to Buddhist Era (BE/Sasanasakaraja). BE = Gregorian + 543 (Thailand) or +544 (Sri Lanka). Shows local day of week.
Gregorian → Roman Republican Date
Convert a Gregorian date to the classical Roman expression using Kalendae, Nonae and Idus (e.g. ante diem VIII Idus Ianuarias), with inclusive counting and the March/May/July/October shift.
Add Business Days (Brazilian Holidays)
Add or subtract N business days from a starting date, skipping weekends and (optionally) Brazilian national holidays including movable ones (Carnival, Corpus Christi).
Next Holiday by Country
Shows next national holiday for selected country (BR, US, PT, ES, IT, FR, DE) with days remaining.
Hanukkah Date Converter
Calculates Hanukkah date (25 Kislev Hebrew calendar) for any Gregorian year, with all 8 days of the festival.
Zeller Congruence — Day of Week
Compute the day of week for any date using Zeller Congruence — 1882 algorithm requiring only modular arithmetic. Shows each step (q, m, K, J, h) for didactic purposes. Supports Julian and Gregorian calendars.
Lunar Age (days since New Moon)
Compute the Moon's age in days since the last New Moon for a date — basis of the Epact used in liturgy. Useful for tide-watching, astrophotography and Wicca. Shows approximate phase (new/waxing/full/waning).
Nepali Bikram Sambat (BS) Converter
Convert dates between the Bikram Sambat (BS) calendar — Nepal's official solar calendar — and Gregorian. BS runs ≈ 56.7 years ahead of AD with months of 29–32 days (Baisakh, Jestha, Ashar… Chaitra). Powered by a BS 2000–2050 (1943–1993 AD) month-length table.
International Fixed Calendar Converter (Cotsworth)
Convert a Gregorian date to the International Fixed Calendar (Cotsworth, 1902) — 13 months of 28 days + a 'Year Day' outside any month + a 'Leap Day' on leap years. Used internally by Kodak from 1928 to 1989. Shows month name (with 'Sol' between June and July) and weekday.
French Decimal Time Converter
Convert a normal time (HH:MM:SS) into French revolutionary decimal time, where the day has 10 hours of 100 minutes of 100 seconds each, and back. A curiosity from the 1793 French Revolution.
🎮 Games
Spin the Wheel
Customizable decision wheel: enter options and click to spin. Useful for raffles, games and random decisions.
RPG Dice Probability
Compute the probability of rolling a specific value with XdY (e.g. 3d6). Shows the full distribution.
Coin Flip
Flip a coin online. Click to toss and see the result with animation.
Virtual Dice
Roll a virtual dice with 4, 6, 8, 10, 12 or 20 sides directly in the browser.
Spin the Wheel
Add options, spin the wheel and let chance decide. Ideal for raffles and random decisions.
Team Sorter
Divide a list of players into balanced teams randomly.
Randomize List
Shuffle a list of items into random order. Paste your list and click Shuffle.
Name Picker
Draw a name from a list without repetition. Ideal for raffles, secret santa and giveaways.
Scoreboard
Simple scoreboard for two teams. Add points and track the result in real time.
Manual Counter
Clickable counter to count anything: reps, items, votes or events.
Mega-Sena Number Generator
Generate random numbers for Mega-Sena (Brazil's biggest lottery). Choose 6 to 15 numbers from 1 to 60, with optional even/odd filters.
Quina Number Generator
Generate random numbers for Quina lottery. Choose 5 to 15 numbers from 1 to 80, with optional even/odd filters.
Lotofácil Number Generator
Generate random numbers for Lotofácil lottery. Choose 15 to 20 numbers from 1 to 25.
Lotomania Number Generator
Generate 50 random numbers for Lotomania lottery. Numbers from 0 to 99, with optional even/odd filters.
Dupla-Sena Number Generator
Generate random numbers for Dupla-Sena lottery. Two independent draws per ticket, 6 to 15 numbers from 1 to 50.
Timemania Number Generator
Generate 10 random numbers and a soccer team for Timemania lottery. Numbers from 1 to 80.
Dia de Sorte Number Generator
Generate random numbers and a lucky month for the Dia de Sorte lottery. Choose 7 to 15 numbers from 1 to 31.
Super Sete Number Generator
Generate random numbers for Super Sete lottery. One number (0–9) per column across 7 independent columns.
+Milionária Number Generator
Generate random numbers and trevos for the +Milionária lottery. 6 to 12 numbers (1–50) and 2 to 6 trevos (1–6).
Anagram Solver
List all permutations (anagrams) of a word or phrase. Limited to up to 8 unique characters to avoid combinatorial explosion. Everything in your browser.
Guess the Number
Think of a number 1-100 and try to guess with "higher" and "lower" hints. Counts attempts and tracks record. Everything in your browser.
Hangman Game
Classic hangman game in PT-BR with curated word bank and 6 lives. Each wrong guess adds a body part. Everything in your browser.
Rock Paper Scissors
Play rock paper scissors against the computer (with wins/draws/losses score). Uniformly random strategy. Everything in your browser.
Random Card Draw
Draw cards from a 52-card deck (with or without jokers). Fisher-Yates shuffle. Useful for magic, games and demos. Everything in your browser.
Bingo Cards Generator
Generate bingo cards 75 (5x5 with FREE center) or 90 (3x9), in configurable quantity. Print and play. Everything in your browser.
Tic-Tac-Toe
Classic Tic-Tac-Toe game vs computer (random moves).
15-Puzzle
Classic 4x4 sliding puzzle. Order tiles from 1 to 15.
Memory Cards
Memory game with 16 cards (8 emoji pairs). Find all pairs in fewest moves.
Word Search
Generate a 10x10 word-search puzzle from a list of words.
Snake Game
Classic Snake game. Use arrow keys to move, eat apples and grow without hitting walls.
Decision Wheel
Visual decision wheel: enter options (one per line) and spin to randomly pick one. For choosing restaurants, tasks, games.
Rock, Paper, Scissors, Lizard, Spock
Extended classic (popularized by Big Bang Theory) — 5 options, 10 rules. Play vs the computer.
RPG Dice Roller (DnD)
Roll RPG dice in NdM+K format (e.g., 3d6+2 = 3 d6 dice + 2). Supports d4, d6, d8, d10, d12, d20, d100 with modifiers.
Flags Quiz
Random quiz: identify country by flag (emoji). 60 common countries. Cumulative score, shows answer on miss.
Capitals Quiz
Random quiz: identify the capital of a country. 60 countries with 4 options. Cumulative score.
2048 Game
The classic 2048 puzzle: slide tiles with arrow keys to combine and reach 2048.
Mastermind
Guess the 4-color secret in up to 10 tries. Black = right color & position, white = right color only.
Minesweeper
Classic 9×9 Minesweeper with 10 mines. Left-click reveals; right-click (or shift+click) flags.
Classic Pong
Classic Pong against AI. Use ↑↓ to move your paddle. First to 5 wins.
Simon Says
Repeat the color sequence shown by Simon. Click or use keys 1-4.
Flappy Mini
Miniature Flappy Bird: press space (or click) to flap and dodge pipes.
Sokoban Mini (5x5)
Minimal Sokoban: push boxes (□) onto targets (×) with arrow keys.
Breakout (Arkanoid)
Classic Breakout/Arkanoid: bounce the ball with the paddle (←→) and break all blocks.
Gomoku (Five in a Row)
Place 5 in a row (horizontal/vertical/diagonal) before the opponent. 9×9 simplified.
Hexapawn (3×3)
3×3 chess variant with 3 pawns each side. Win by promoting a pawn or blocking opponent.
Interactive Chess Board
8×8 chess board with initial position; click and move pieces freely (no rules).
Checkers (free move)
8×8 checkers board with initial position; click origin → destination (no rules).
Lights Out (5×5)
Classic Lights Out 5×5. Click a cell to toggle it and neighbors. Turn all off to win.
Peg Solitaire
Classic Peg Solitaire (cross). Jump a peg over another into empty slot. Goal: 1 peg.
Nonogram 5×5
Mini 5×5 nonogram (picross). Fill cells per row/column number clues; click to toggle.
Connect Four
Classic Connect Four 7×6 board, red vs yellow (two human players).
Dots and Boxes (5×5)
Classic Dots and Boxes 5×5: alternate drawing lines; closing a box scores.
Mancala (simplified Kalah)
Minimal Mancala/Kalah: 6 pits per side, 4 seeds each. Alternate until empty.
Tower of Hanoi
Classic Tower of Hanoi: move all disks A → C without ever placing larger over smaller.
Anagram Puzzle
Shuffled letters from a word; player must guess the original. Portuguese word bank.
Quick Color Match
Show bg color and a color name written in another color. Match the NAME to the bg, ignoring text. 30s game.
Catch Letters Game
Letters appear in sequence; click them in order before time runs out. Levels add more letters.
Bombs Away (binary logic)
Binary sequence appears. Click ONLY the 1s to defuse, avoid the 0s (bombs). Speed increases.
Reaction Time Test
Wait for green screen, click as fast as possible. Measures reaction time across 5 trials.
Wheel of Fortune Mini
Mini Wheel of Fortune: guess hidden phrase letter by letter. 5 errors max.
Chemical Elements Quiz
Random quiz: identify chemical element from symbol (H, He, Au) or atomic number. 30 common elements.
Country Currency Quiz
Random quiz: identify the official currency of a country (Brazil → Real, Japan → Yen). 50 countries.
Emoji Word Quiz
Show an emoji and ask for its corresponding Portuguese word. Mixed theme: animals, food, sports, transport. 50+ emojis.
Random Anagram Game
Show a word with shuffled letters — guess the original. Bank of 100 Portuguese words.
Tech Trivia Game
Quiz with 30 questions on tech history and trivia. Cumulative score. When was Linux released, who invented the WWW, etc.
2048 Game (mini, 4×4)
Simple 2048: combine same-number tiles to reach 2048. Arrow keys (↑↓←→). All in browser.
Year of the Song Quiz
Show a famous international song and ask its release year (4 options). 25 hits from the 60s to present.
Country Continent Quiz
Identify the continent of a random country (4 options). 50 countries covered. Cumulative score.
Movie Quotes Quiz
Show an iconic quote and ask the movie. 25 classic lines. For movie buffs.
Song from Lyrics Quiz
Show a famous lyric snippet (EN/PT) and ask the song name. 20 hits.
Secret Number in Binary
Computer picks a number 1-100. Guess in decimal and get the difference shown in binary. Learn binary while playing.
Mini Mastermind
Mini Mastermind: computer picks 4 digits (0-5, no repeats). Guess and get "fixed" (right place) and "moving" hints.
Identify Truco Hand
Show 3 Brazilian cards (zap, copas, etc.) and ask you to pick the best truco combo. Learn the card hierarchy.
Identify Poker Hand
Show a 5-card hand and ask you to identify the category: pair, two pair, three of a kind, full house, flush, etc.
Country by Emoji Hints Quiz
Show 3-4 representative emojis of a country (🍕🍝⚽ → Italy) and guess. 30 countries with cultural hints.
Real or Made-Up Term Quiz
Show a term and ask whether it is a real academic concept or made-up. 30 terms.
Identify Fruit by Emoji Quiz
Show fruit emoji and ask the Portuguese name. 30 common fruits. Cumulative score.
Game Release Year Quiz
Show a famous game and ask its release year. 25 iconic video games.
Android Version by Codename Quiz
Show codename (Cupcake, KitKat, Marshmallow...) and ask the Android version. Android 1.5 to 14.
iOS Release Year Quiz
Show iOS version (iOS 7, iOS 14...) and ask its release year. iOS 1 to 17.
3 Clues Celebrity Quiz
Show 3 progressive clues about a celebrity; guess with fewest clues. 25 public figures.
Guess Who? (yes/no questions)
Think of a famous person; the computer asks yes/no questions to guess. Simple 12-character version. For fun.
Guess Number with History (1-1000)
Guess a number 1-1000 with higher/lower hints. Shows guess history and trend. Counts attempts.
4-Flags Quiz
Show 4 flag emojis simultaneously and ask which represents a specific country. Harder via visually similar flags.
Game Mascot Quiz
Show a famous game name and ask its main mascot/character: Mario, Sonic, Crash, Pikachu, etc. 25 iconic games.
Cartoon Characters Quiz
Show the cartoon name and ask the main character. Classic and modern cartoons: Bugs Bunny, Bart Simpson, Naruto, etc.
Who Said It Quiz
Show a historic quote and ask the author. 25 famous figures: Shakespeare, Einstein, MLK, Mandela, Pelé, etc.
Traditional Bingo Caller
Draw random numbers for a bingo card (1-75). Show called number history. Tracks when 5 consecutive form a line.
Brazilian Lottery Quick Pick
Quickly draw multiple number sets for Brazilian lotteries: Mega-Sena, Quina, Lotofácil, Lotomania, Dupla Sena.
Front-end or Back-end Quiz
Show a tech (React, Express, Postgres, Tailwind) and ask if it's front, back, database or devops. 30 popular terms.
Framework Release Year Quiz
Show a popular framework (React, Vue, Django) and ask its release year. 25 frameworks across eras.
Bad Jokes Category Quiz
Show a bad Portuguese joke and ask to classify (pun, childish, comedian, wife). 25 jokes.
Brazilian Presidents Quiz
Show a period (e.g., 1985-1990) and ask the corresponding president. Covers Old Republic (1889) to today.
US Presidents Quiz
Show a period and ask the corresponding US president. Covers 46 presidents from Washington (1789) to Biden.
Brazilian Empire Quiz
Quiz on Imperial Brazil: Dom Pedro I, Dom Pedro II, Princess Isabel. 15 questions on dates, facts, laws.
Who Scored the Historic Goal Quiz
Show a historic football goal (Cup final, decisive match) and ask the scorer. 20 famous moments.
Impossible Number Guessing (1-1,000,000)
Computer picks a number 1-1,000,000. You have 25 attempts to find it with "higher"/"lower" hints. Challenge mode.
Music Quiz 80s
Test your knowledge of 1980s music hits.
Music Quiz 90s
Test your knowledge of 1990s music.
Music Quiz 2000s
2000s music quiz.
Music Quiz 2010s
2010s music quiz.
Games Quiz 80s
1980s video games quiz.
Games Quiz 90s
1990s video games quiz.
Games Quiz 2000s
2000s video games quiz.
Movies Quiz 80s
1980s movies quiz.
Movies Quiz 90s
1990s movies quiz.
Movies Quiz 2000s
2000s movies quiz.
TV Shows Quiz
TV series quiz.
Disney Characters Quiz
Disney characters quiz.
Pixar Characters Quiz
Pixar characters quiz.
Marvel Characters Quiz
Marvel characters quiz.
DC Characters Quiz
DC Comics characters quiz.
Pokémon Gen 1 Quiz
Quiz on original 151 Pokémon (Kanto).
Pokémon Gen 2 Quiz
Quiz on Gen 2 Pokémon (Johto).
Historical Popes Quiz
Historical popes quiz.
World Presidents Quiz
World presidents quiz.
Rock Bands Quiz
Rock bands quiz.
Brazilian Football Clubs Quiz
Brazilian football clubs quiz.
Football Players Quiz
Football players quiz.
F1 Drivers Quiz
F1 drivers quiz.
Pop Singers Quiz
Pop singers quiz.
Countries Flag Hint Quiz
Guess country from flag hint.
Tic-Tac-Toe vs CPU
Jogo da velha contra a CPU (jogada aleatória).
Jogo da Memória 4×4
Memória com 8 pares emoji.
Mastermind Cores
Adivinhe a sequência de 4 cores em até 8 tentativas.
Forca: Animais
Forca temática com nomes de animais.
20 Perguntas (animal)
Adivinhe o animal pensado pelo computador respondendo sim/não (versão simples random).
Sorteador de Grupos
Divide N nomes em K grupos aleatoriamente.
Roleta de Nomes
Sorteia um nome aleatório de uma lista (estilo roleta).
Verdade ou Desafio
Sorteia uma pergunta de verdade ou um desafio (versão amigável).
Quem Sou Eu? (Adivinhe)
Sorteia uma pista famosa e você adivinha (versão simples).
Perguntas p/ Conhecer Alguém
Sorteia uma pergunta para conhecer melhor alguém.
Parser Notação Dados DnD
Faz parse de notação tipo "3d6+2" e simula rolagem (NdM±K). Retorna soma + detalhes.
Analisador Custo Mana MTG
Calcula CMC e distribuição de cores a partir de custo MTG tipo "{2}{R}{W}".
Contador Peças FEN Xadrez
Conta peças de cada lado a partir de uma notação FEN.
Identificador Mão Poker
Identifica nome da mão de poker a partir de 5 cartas (ex: "AS KS QS JS TS").
Estratégia Básica Blackjack
Sugere ação (Hit/Stand/Double/Split) na estratégia básica do Blackjack.
Gerador Cartela Bingo
Gera cartela 5x5 de bingo (1-75, BINGO clássico) com espaço FREE no centro.
Sudoku Próxima Jogada (básico)
Encontra a primeira célula vazia com solução única (single candidate) em um Sudoku 9x9. Use "." ou 0 para vazias.
Previsor Score 2048
Estima score teórico mínimo para alcançar uma tile alvo em 2048.
XP por Nível DnD 5e
Mostra XP total acumulado e XP para subir para o próximo nível em DnD 5e.
Modificador de Atributo DnD
Calcula modificador DnD para um valor de atributo: floor((score-10)/2).
CD Salvaguarda DnD
Sugere CD de salvaguarda: 8 + prof + mod habilidade.
XP por Challenge Rating DnD
Mostra XP recompensa por CR (Challenge Rating) em DnD 5e.
CMC Converter MTG
Calcula Converted Mana Cost (CMC/MV) total de um custo MTG.
Life Counter MTG por Formato
Mostra total de vida inicial conforme o formato MTG.
Variância Rolagem Dados (justos)
Calcula valor esperado e desvio padrão de NdM dados justos.
Pontuação Yahtzee
Calcula a pontuação de uma jogada Yahtzee a partir de 5 dados.
Ordenar Iniciativa RPG
Ordena entradas "Nome:Iniciativa" em ordem decrescente (estilo RPG turn tracker).
Wordle Letras Restantes
Lista letras do alfabeto ainda não usadas dado um conjunto de tentativas.
Carta Tarot Aleatória
Sorteia uma carta dos Arcanos Maiores e mostra significado básico (upright).
Runa Aleatória
Sorteia uma runa do Futhark Antigo e mostra significado.
K/D Ratio (FPS)
Calcula a razão Kills/Deaths em jogos de tiro.
KDA Ratio (MOBA)
Calcula KDA: (Kills + Assists) / Deaths.
Win Rate de Partidas
Calcula a porcentagem de vitórias: vitórias / total × 100.
Delta de ELO por Partida
Calcula a variação de ELO (K=32) após uma partida vs oponente de rating dado.
MMR por Sequência
Estima ganho aproximado de MMR após sequência de vitórias/derrotas (±25 base + bônus de streak).
DPS — Damage per Second
Calcula DPS = (dano × hits) / segundos para builds e armas.
Accuracy — Acertos %
Calcula acurácia: hits / shots × 100.
Headshot Ratio
Calcula a porcentagem de headshots: hs / kills × 100.
Duração Média de Partida
Calcula minutos médios: total / nº partidas.
GPM — Gold per Minute
Calcula ouro por minuto em MOBAs (LoL/Dota): ouro / minutos.
CS/min (Creep Score)
Calcula creeps por minuto em MOBAs: cs / minutos.
APM — Actions per Minute
Calcula ações por minuto (RTS/StarCraft): ações / minutos.
Input Lag pelo Frame Time
Estima latência de frame (frame time + 1 buffer) a um dado FPS.
Tilt Risk — Derrotas Consecutivas
Mede risco de tilt com base em derrotas consecutivas (recomenda parar a partir de 3).
Scrabble Scorer PT-BR
Computes the score of a word in Brazilian Scrabble, summing letter values per the official PT-BR table.
Crossword Letter Filter
Filters words that match a known-letter pattern (e.g. p_t_) for crossword help.
Anagram Solver N
Permutes letters from input to show up to N unique anagrams.
Hangman State
Shows current hangman state given the target word and tried letters (hits and misses).
Battleship 10x10 Board
Generates a 10x10 Battleship board with standard ships placed at random.
Minesweeper Density
Suggests mine count for an NxM grid at a given density percentage (classic ~15%).
Chess Opening Trainer
Shows the move sequence of classic openings (Italian, Ruy Lopez, Sicilian, French...) by name.
Checkers Move Counter
Counts available moves for a regular checker at a given position.
Go Territory Estimator
Estimates each player territory in Go from the surrounded-point counts provided.
Monopoly Rent PT
Computes Brazilian Monopoly rent (lot + houses + hotel) with a standard payout table.
D20 Advantage Roll
Rolls two d20s showing advantage (highest) and disadvantage (lowest) values — D and D style.
UNO Hand Score
Sums remaining UNO hand value (number cards face value, Skip/Reverse/+2 = 20, Wild = 50).
Bingo Card Generator
Generates a 5x5 (B-I-N-G-O) Bingo card with random numbers per standard ranges and free center.
Sudoku Board Validator
Validates whether a filled 9x9 Sudoku board respects rules (rows, columns, 3x3 blocks).
Kakuro Sum Validator
Checks whether a sequence of unique 1-9 digits sums to the Kakuro clue target.
Russian Roulette Probability
Computes survival probability in Russian roulette with N chambers and K bullets after X shots.
Poker Hand Classifier
Classifies a 5-card poker hand: pair, three of a kind, full house, flush, straight, etc.
Blackjack: Hit or Stand
Recommends hit or stand in blackjack based on player total and dealer up-card.
Baccarat Hand Score
Computes baccarat hand score from two or three cards (sum modulo 10).
Craps Roll Outcome
Evaluates a craps roll outcome (come-out or point) from two dice values.
Keno Bet Probability
Computes probability of hitting K marked numbers in a Keno bet (80 numbers, 20 drawn).
Ludo Possible Moves
Computes possible Ludo moves from dice value and player available pieces.
Domino Hand Score
Computes final domino score by tiles left in opponent hand.
Yahtzee Score by Category
Computes Yahtzee score for the chosen category given 5 rolled dice.
Bridge Game Scoring
Computes basic Bridge hand score from declared tricks, tricks taken and the trump suit (spades, hearts, diamonds, clubs or no-trump).
Pinochle Hand Scoring
Computes meld and trick score of a Pinochle hand from declared meld points and the captured card points during tricks.
Canasta Hand Scoring
Computes gross Canasta hand score adding natural canastas (500), mixed canastas (300), going-out bonus (100) and remaining card values.
Spades Hand Scoring
Computes Spades score awarding 10 points per declared trick if the bid is met or losing 10 per trick when failed plus overtrick bags.
Hearts Hand Scoring
Computes Hearts hand score counting 1 point per captured heart plus 13 for the Queen of Spades with Shoot the Moon transferring 26 points.
Tarocchi Hand Scoring
Computes basic Italian Tarocchi hand score adding tricks with different weights for kings, queens, knights, jacks and special trumps.
Mahjong Hand Scoring
Computes basic Chinese Mahjong hand score from the count of pungs, kongs and dragons reported by the player.
Checkers Board Winner Calculator
Determines the winner of a Checkers game from the remaining piece counts of each color on the board.
Othello Board Scoring
Computes final Othello (Reversi) game score from black and white piece counts on the 8 by 8 board.
Casino Roulette Probability
Computes winning probability for European or American roulette bets from the number of favorable slots (red, even, dozen, straight up etc).
Slot Machine Probability
Computes the probability of getting a specific combination on a 3-reel slot machine from symbols per reel and winning targets.
Mega Sena Lottery Probability
Computes Mega Sena (Brazilian 6/60 lottery) winning probability when marking a ticket with between 6 and 20 numbers.
Pacman Ghost Score Calculator
Computes total Pacman ghost combo score from how many ghosts in a row were eaten under the same power pellet effect during the chase.
Galaga Bonus Stage Points Calculator
Computes Galaga challenging stage score from enemies shot down in perfect wave considering the 10000 points bonus given on a perfect round.
Pong Rallies CPU Counter
Computes consecutive Pong rally hits against CPU from the streak count of won rallies before the opponent scores any single point in the match.
Tetris Lines Level Points Calculator
Computes Tetris score from lines cleared and current level following classic NES table: 40, 100, 300 and 1200 multiplied by level plus one.
Tetris T-Spin Points Calculator
Computes T-spin score in modern Tetris from type (mini, single, double, triple) and current level using The Tetris Company guideline official table.
Snake Length Points Calculator
Computes classic Snake score from current snake length using 10 points per regular food and 50 points bonus per special fruit eaten in the run.
Asteroids Shot Points Calculator
Computes Asteroids classic score from numbers of large, medium, small asteroids and UFOs shot down in a level using the official Atari point table.
Bombliss Chain Explosion Calculator
Computes chain explosion score in Bombliss (Tetris Blast) from number of chained bombs, lines cleared and typical chain multiplier of the round.
Bomberman Bomb Area Calculator
Computes cells affected by a Bomberman bomb explosion from player firepower range considering the 4 cardinal directions on the grid map.
Frogger Passage Points Calculator
Computes classic Frogger score from frogs taken home, time left per passage and passages with fly captured using the Konami arcade table.
Pokemon EXP Level IV Calculator
Computes EXP gained by defeating opposing Pokemon from species base experience, opponent level and trade Pokemon bonus using the classic formula.
Dr Mario Virus Colors Calculator
Computes number of viruses per color (red, yellow, blue) at the start of a Dr Mario classic match from selected level (0 to 24) of the main menu.
Reversi (Othello) with AI
Play Reversi/Othello against a simple AI in the browser — 8x8 board with black and white pieces.
Go 9x9 Mini
Go 9x9 mini board for casual two-player same-device games with group capture rules.
Classic Battleship
Classic battleship against the AI on a 10x10 grid — place ships and try to sink the enemy fleet.
Tic-Tac-Toe Unbeatable AI
Tic-tac-toe with unbeatable minimax AI — impossible to win, the best you get is a draw.
Classic Nim Game
Classic Nim game with piles of sticks — whoever takes the last stick loses (or wins, configurable).
Mancala (Oware/Awale)
African Oware/Awale board game — sow seeds in pits and capture from your opponent's side.
8-Puzzle (3x3 numeric)
3x3 sliding puzzle with 8 numbered tiles — a smaller, faster variant of the 15-puzzle.
Mini 2x2 Virtual Cube
Virtual 2x2x2 Rubik-style cube with face rotation and timer — explore moves before trying the 3x3.
Pong Singleplayer vs AI
Pong against the AI with adjustable difficulty — control the paddle with mouse, keyboard or touch.
Classic Snake with Acceleration
Classic Snake variant where speed increases with each fruit eaten — progressive challenge run.
Word of the Day in PT (Wordle-like)
Guess the Portuguese word of the day in 6 tries — color feedback letter by letter, Wordle style.
Timed Anagram
Receive scrambled letters and form the correct word — scored by speed.
Themed Word Search in PT
Themed word search (animals, jobs, cities) generated client-side — variable grid with diagonals.
Substitution Cryptogram
Decipher a phrase where each letter was swapped for another — classic logic-reasoning puzzle.
Jumble: Find the Hidden Word
Receive 4 scrambled words and a final clue — discover the answer with highlighted letters.
Daily 5x5 Mini Crossword
Mini 5x5 crossword with short clues — quick daily PT-BR challenge.
Fill the Missing Letter
Shows a word with one letter missing — guess which one in several difficulty levels.
Spell the Word (Dictation)
Speech synthesis pronounces a PT-BR word and you must spell it correctly — client-side dictation.
Quick Synonym or Antonym
Shows two words and you say if they are synonyms, antonyms or neither — speed scoring.
Find the Spelling Error
Shows a sentence with one misspelled word — click the wrong word to score.
Quick Times Tables Drill
Train multiplication tables (2-12) with randomized prompts and a stopwatch — track best times.
24 Game (Mental Math)
Get four digits (1-9) and use +, -, *, / to reach 24 — classic mental arithmetic puzzle.
Complete the Equation
An equation appears with a missing operand or operator — figure out what completes it.
Next in Number Sequence
Arithmetic, geometric, Fibonacci or square sequences — guess the next term to score.
GCD and LCM Mental Drill
Practice mental GCD (MDC) and LCM (MMC) with random pairs — instant feedback.
Prime or Not? (Timed)
A number flashes — decide if it is prime within seconds. Mental primality drill.
Equivalent Fractions Memory
Memory grid of fraction cards — find equivalent pairs (1/2 = 4/8) to score.
Approximate Square Root
A non-square number appears — guess the square root within 0.1 tolerance.
Fraction to Decimal Flash
Quickly convert between fractions and decimals (1/4 = 0.25) — timed challenges.
Binary Arithmetic Drill
Add and multiply in binary — mental base-2 practice with step-by-step solution view.
NES Super Mario Score Calculator
Estimates a typical Super Mario Bros NES run score from coins and enemies.
SNES Zelda Link to the Past Progress
Estimates progress percentage in SNES Link to the Past from hearts and items.
Genesis Sonic 1 Score Calculator
Computes final Sonic 1 Mega Drive score from rings, time left and bonus.
Master System Alex Kidd Score
Estimates Alex Kidd in Miracle World score from coins and bosses on Master System.
Atari Space Invaders Score
Computes Atari 2600 Space Invaders score from regular invaders and UFO ships.
Atari Pitfall Score
Computes Atari 2600 Pitfall score from treasures collected within 20 minutes.
ColecoVision Donkey Kong Score
Estimates ColecoVision Donkey Kong score from stages cleared and bonus.
Intellivision Night Stalker Score
Estimates Intellivision Night Stalker score from robots killed per stage.
TRS-80 Temple of Apshai Score
Estimates TRS-80 Temple of Apshai final score from treasures and monsters killed.
C64 Impossible Mission Progress
Estimates Commodore 64 Impossible Mission progress from puzzle pieces found.
Spectrum Jet Set Willy Progress
Estimates ZX Spectrum Jet Set Willy completion from rooms cleaned.
MSX Knightmare Score
Estimates MSX Knightmare score from enemies defeated and power-ups collected.
CPC Roland on the Ropes Score
Estimates Amstrad CPC Roland on the Ropes score from treasures and bats.
Calculator Iso RPG Baldurs Gate 3 Time 2
Estimates completion time for Baldurs Gate 3 by play style.
Calculator Iso RPG Pathfinder Kingmaker Time
Estimates completion time for Pathfinder Kingmaker.
Calculator Iso RPG Pathfinder Wrath of Righteous Time
Estimates completion time for Pathfinder Wrath of the Righteous.
Calculator Iso RPG Tyranny Time
Estimates completion time for Tyranny.
Calculator Iso RPG Torment Tides of Numenera Time
Estimates completion time for Torment Tides of Numenera.
Calculator Iso RPG Disco Elysium Time
Estimates completion time for Disco Elysium.
Calculator Iso RPG Rogue Trader Warhammer Time
Estimates completion time for Rogue Trader Warhammer 40k.
Calculator Iso RPG Solasta Crown of the Magister Time
Estimates completion time for Solasta Crown of the Magister.
Calculator Iso RPG Tactics Ogre Reborn Time
Estimates completion time for Tactics Ogre Reborn.
Calculator Iso RPG Triangle Strategy Time
Estimates completion time for Triangle Strategy.
Calculator Iso RPG Unicorn Overlord Time
Estimates completion time for Unicorn Overlord.
Calculator Iso RPG Expeditions Rome Time
Estimates completion time for Expeditions Rome.
Calculator Iso RPG Encased Time
Estimates completion time for Encased.
Calculator Soulslike Elden Ring Shadow of the Erdtree Time
Estimates time to complete Elden Ring Shadow of the Erdtree.
Calculator Soulslike Lies of P Time
Estimates time to complete Lies of P.
Calculator Soulslike Lords of the Fallen 2023 Time
Estimates time to complete Lords of the Fallen 2023.
Calculator Soulslike Wo Long Fallen Dynasty Time
Estimates time to complete Wo Long Fallen Dynasty.
Calculator Soulslike Stellar Blade Time
Estimates time to complete Stellar Blade.
Calculator Soulslike Black Myth Wukong Time
Estimates time to complete Black Myth Wukong.
Calculator Metroidvania Prince of Persia Lost Crown Time
Estimates time to complete Prince of Persia The Lost Crown.
Calculator Metroidvania Hollow Knight Silksong Time
Estimates time to complete Hollow Knight Silksong.
Calculator Metroidvania Blasphemous 2 Time
Estimates time to complete Blasphemous 2.
Calculator Metroidvania Bo Path of the Teal Lotus Time
Estimates time to complete Bo Path of the Teal Lotus.
Calculator Metroidvania Aeterna Noctis Time
Estimates time to complete Aeterna Noctis.
Calculator Metroidvania Grime Time
Estimates time to complete Grime.
Calculator Metroidvania Laika Aged Through Blood Time
Estimates time to complete Laika Aged Through Blood.
Game BR Fortnite Zero Build Time Calculator
Estimates total playtime in Fortnite Zero Build.
Game BR Warzone 3 Time Calculator
Estimates total playtime in Warzone 3.
Game BR Apex Legends Time 2 Calculator
Estimates total playtime in Apex Legends.
Game BR PUBG Erangel Time Calculator
Estimates total playtime in PUBG Erangel.
Game BR PUBG Vikendi Time Calculator
Estimates total playtime in PUBG Vikendi.
Game BR PUBG Rondo Time Calculator
Estimates total playtime in PUBG Rondo.
Game BR Naraka Bladepoint Time Calculator
Estimates total playtime in Naraka Bladepoint.
Game BR Super People Time Calculator
Estimates total playtime in Super People.
Game BR The Finals Time Calculator
Estimates total playtime in The Finals.
Game BR XDefiant Time Calculator
Estimates total playtime in XDefiant.
Game BR Spectre Divide Time Calculator
Estimates total playtime in Spectre Divide.
Game BR Marvel Rivals Time Calculator
Estimates total playtime in Marvel Rivals.
Game BR Once Human Time Calculator
Estimates total playtime in Once Human.
Game Auto Chess Teamfight Tactics Time Calculator
Estimates total time in Teamfight Tactics TFT Riot matches.
Game Auto Chess Dota Underlords Time Calculator
Estimates total time in Dota Underlords Valve matches.
Game Auto Chess Storybook Brawl Time Calculator
Estimates total time in Storybook Brawl fantasy auto chess matches.
Game Auto Chess Mechabellum Time Calculator
Estimates total time in Mechabellum robot auto chess matches.
Game Auto Chess Hearthstone Battlegrounds Time Calculator
Estimates total time in Hearthstone Battlegrounds Blizzard matches.
Game Deckbuilder Balatro Time Calculator
Estimates total time in Balatro poker roguelike deckbuilder runs.
Game Deckbuilder Slay the Spire 2 Time Calculator
Estimates total time in Slay the Spire 2 sequel deckbuilder runs.
Game Deckbuilder Monster Train 2 Time Calculator
Estimates total time in Monster Train 2 vertical deckbuilder runs.
Game Deckbuilder Inscryption Time Calculator 2
Estimates total time in Inscryption horror meta deckbuilder runs.
Game Deckbuilder Griftlands Time Calculator
Estimates total time in Griftlands deckbuilder with dialogue and negotiation runs.
Game Deckbuilder Roguebook Time Calculator
Estimates total time in Roguebook duo deckbuilder runs.
Game Deckbuilder Wildfrost Time Calculator
Estimates total time in Wildfrost lane deckbuilder runs.
Game Deckbuilder Cobalt Core Time Calculator
Estimates total time in Cobalt Core space spaceship deckbuilder runs.
Cities Skylines 2 Sim Time Calculator
Estimates Cities Skylines 2 sandbox campaign playthrough time.
Anno 117 Pax Romana Sim Time Calculator
Estimates Anno 117 Pax Romana campaign sandbox time.
Frostpunk 2 Sim Time Calculator
Estimates Frostpunk 2 survival campaign time.
Manor Lords Sim Time Calculator
Estimates Manor Lords medieval campaign time.
Foundation Sim Time Calculator
Estimates Foundation sandbox campaign time.
Laysara Summit Kingdom Sim Time Calculator
Estimates Laysara Summit Kingdom city builder campaign time.
Citystate 2 Sim Time Calculator
Estimates Citystate 2 political campaign time.
Workers Resources Soviet Republic Sim Time Calculator
Estimates Workers Resources Soviet Republic economic campaign time.
Prison Architect 2 Sim Time Calculator
Estimates Prison Architect 2 campaign time.
Two Point Museum Sim Time Calculator
Estimates Two Point Museum campaign time.
Tropico 7 Sim Time Calculator
Estimates Tropico 7 political campaign time.
Banished 2 Sim Time Calculator
Estimates Banished 2 sandbox campaign time.
The Settlers New Allies Sim Time Calculator
Estimates The Settlers New Allies campaign time.
Game TD Bloons TD 6 Time Calculator
Estimates average time to complete Bloons TD 6 maps.
Game TD Kingdom Rush Vengeance Time Calculator
Estimates average time to complete Kingdom Rush Vengeance stages.
Game TD Rogue Tower Time Calculator
Estimates average run time for Rogue Tower.
Game TD Mindustry Time Calculator
Estimates average time to clear sectors in Mindustry.
Game TD Against the Storm Time Calculator
Estimates average city run time in Against the Storm.
Game TD Orcs Must Die 3 Time Calculator
Estimates average mission time in Orcs Must Die 3.
Game TD Creeper World 4 Time Calculator
Estimates average mission time in Creeper World 4.
Game TD Defense Grid 2 Time Calculator
Estimates average map time in Defense Grid 2.
Game TD Dungeon Defenders Awakened Time Calculator
Estimates average map time in Dungeon Defenders Awakened.
Game TD Clash Royale Time Calculator
Estimates average battle and arena time in Clash Royale.
Game TD Element TD 2 Time Calculator
Estimates average match time in Element TD 2.
Game TD Rift Wizard 2 Time Calculator
Estimates average run time in Rift Wizard 2.
Game TD Iron Marines Invasion Time Calculator
Estimates average mission time in Iron Marines Invasion.
Calculator Game Puzzle Baba Is You Time
Calculates Baba Is You progress time by hours and levels.
Calculator Game Puzzle Stephen Sausage Roll Time
Calculates Stephen Sausage Roll progress time.
Calculator Game Puzzle Patricks Parabox Time
Calculates Patricks Parabox progress time.
Calculator Game Puzzle Witness Time 2
Calculates The Witness progress time.
Calculator Game Puzzle Cocoon Time
Calculates Cocoon progress time.
Calculator Game Puzzle Lorelei Laser Eyes Time
Calculates Lorelei and the Laser Eyes progress time.
Calculator Game Puzzle Blue Prince Time
Calculates Blue Prince progress time.
Calculator Game Puzzle Talos Principle 2 Time
Calculates The Talos Principle 2 progress time.
Calculator Game Puzzle Viewfinder Time
Calculates Viewfinder progress time.
Calculator Game Puzzle Superliminal Time
Calculates Superliminal progress time.
Calculator Game Puzzle Tunic Time
Calculates Tunic progress time.
Calculator Game Puzzle Fez Time 2
Calculates Fez progress time.
Calculator Game Puzzle Antichamber Time
Calculates Antichamber progress time.
Calculator Game Walking Sim Firewatch Time
Calculates playthrough time for walking sim Firewatch.
Calculator Game Walking Sim Everybodys Gone Rapture Time
Calculates playthrough time for walking sim Everybodys Gone to the Rapture.
Calculator Game Walking Sim Edith Finch Time
Calculates playthrough time for walking sim What Remains of Edith Finch.
Calculator Game Walking Sim Dear Esther Time
Calculates playthrough time for walking sim Dear Esther.
Calculator Game Walking Sim Stanley Parable Deluxe Time
Calculates playthrough time for walking sim Stanley Parable Ultra Deluxe.
Calculator Game Walking Sim Tacoma Time
Calculates playthrough time for walking sim Tacoma.
Calculator Game Walking Sim Gone Home Time
Calculates playthrough time for walking sim Gone Home.
Calculator Game Walking Sim Vanishing Ethan Carter Time
Calculates playthrough time for walking sim The Vanishing of Ethan Carter.
Calculator Game Walking Sim Everything Time
Calculates playthrough time for walking sim Everything.
Calculator Game Walking Sim Virginia Time
Calculates playthrough time for walking sim Virginia.
Calculator Game Walking Sim Paratopic Time
Calculates playthrough time for walking sim Paratopic.
Calculator Game Walking Sim Lake Time
Calculates playthrough time for walking sim Lake.
Calculator Game Walking Sim Immortality Narrative Time
Calculates playthrough time for narrative game Immortality.
Beat Saber Rhythm Game Time Calculator
Estimates Beat Saber playtime by playlist and difficulty.
Pistol Whip Rhythm Game Time Calculator
Estimates Pistol Whip playtime by scenes and modifiers.
Thumper Rhythm Game Time Calculator
Estimates Thumper playtime by levels.
Rez Infinite Rhythm Game Time Calculator
Estimates Rez Infinite playtime by areas.
Crypt of the Necrodancer Time Calculator
Estimates Crypt of the Necrodancer playtime per character.
BPM Bullets Per Minute Time Calculator
Estimates BPM Bullets Per Minute playtime per run.
Everhood Rhythm Game Time Calculator
Estimates Everhood playtime per chapter.
Hi-Fi Rush Rhythm Game Time Calculator
Estimates Hi-Fi Rush playtime per chapter.
Metal Hellsinger Rhythm Game Time Calculator
Estimates Metal Hellsinger playtime per hell.
Rhythm Doctor Time Calculator
Estimates Rhythm Doctor playtime per level.
Friday Night Funkin Time Calculator
Estimates Friday Night Funkin playtime per week.
Osu Mania Rhythm Game Time Calculator
Estimates osu! Mania playtime per session.
Cytus II Rhythm Game Time Calculator
Estimates Cytus II playtime per character.
Calculator Racing Game Forza Horizon 5 Time
Estimates Forza Horizon 5 game time by events and festivals.
Calculator Racing Game Forza Motorsport 2023 Time
Estimates Forza Motorsport 2023 game time by categories and tours.
Calculator Racing Game Gran Turismo 7 Time
Estimates Gran Turismo 7 game time by menu books and cafe.
Calculator Racing Game iRacing Time
Estimates iRacing game time by seasons and series.
Calculator Racing Game Assetto Corsa Competizione Time
Estimates Assetto Corsa Competizione game time by GT3 championships.
Calculator Racing Game Assetto Corsa EVO Time
Estimates Assetto Corsa EVO game time by modes.
Calculator Racing Game Le Mans Ultimate Time
Estimates Le Mans Ultimate game time by WEC seasons.
Calculator Racing Game Automobilista 2 Time
Estimates Automobilista 2 game time by categories and tracks.
Calculator Racing Game rFactor 2 Time
Estimates rFactor 2 game time by mods and leagues.
Calculator Racing Game Wreckfest 2 Time
Estimates Wreckfest 2 game time by destruction tournaments.
Calculator Racing Game Need For Speed Unbound Time
Estimates Need For Speed Unbound game time by chapters.
Calculator Racing Game Test Drive Unlimited Solar Crown Time
Estimates Test Drive Unlimited Solar Crown game time by clans.
Calculator Racing Game The Crew Motorfest Time
Estimates The Crew Motorfest game time by playlists and island.
Calculator Game Fighting Tekken 8 Time
Estimates Tekken 8 campaign and online ranks time.
Calculator Game Fighting Street Fighter 6 Time
Estimates Street Fighter 6 Master rank and World Tour time.
Calculator Game Fighting Mortal Kombat 1 Time
Estimates Mortal Kombat 1 Invasions and Konquest time.
Calculator Game Fighting Guilty Gear Strive Time
Estimates Guilty Gear Strive Celestial rank and missions time.
Calculator Game Fighting Dragon Ball FighterZ Time
Estimates Dragon Ball FighterZ arcade and ranks time.
Calculator Game Fighting Fatal Fury City of the Wolves Time
Estimates Fatal Fury CotW Episode of South Town time.
Calculator Game Fighting 2XKO Time
Estimates 2XKO progression time from Riot Games.
Calculator Game Fighting Virtua Fighter 6 Time
Estimates Virtua Fighter 6 Quest and online time.
Calculator Game Fighting The King of Fighters 15 Time
Estimates KOF 15 story and online ranks time.
Calculator Game Fighting Samurai Shodown 7 Time
Estimates Samurai Shodown 7 Survival and Story time.
Calculator Game Fighting Skullgirls 2nd Encore Time
Estimates Skullgirls per-character Story mode time.
Calculator Game Fighting Rivals of Aether 2 Time
Estimates Rivals of Aether 2 Adventure mode and ranks time.
Calculator Game Fighting MultiVersus Time
Estimates MultiVersus Rifts and progression time.
Calculator Game Stealth Hitman 3 Time
Estimates Hitman 3 missions and progression time.
Calculator Game Stealth Hitman World of Assassination Time
Estimates World of Assassination trilogy time.
Calculator Game Stealth Dishonored 3 Time
Estimates Dishonored 3 missions time.
Calculator Game Stealth Thief 2014 Time
Estimates Thief 2014 chapters time.
Calculator Game Stealth Styx Shards of Darkness Time
Estimates Styx Shards of Darkness time.
Calculator Game Stealth Aragami 2 Time
Estimates Aragami 2 missions time.
Calculator Game Stealth Ghost of Tsushima Time
Estimates Ghost of Tsushima campaign time.
Calculator Game Stealth Shadow Tactics Aikos Choice Time
Estimates Aikos Choice DLC time.
Calculator Game Stealth Desperados III Time
Estimates Desperados III missions time.
Calculator Game Stealth Mark of the Executioners Time
Estimates Mark of the Executioners DLC time.
Calculator Game Stealth Rise of the Ronin Time
Estimates Rise of the Ronin stealth time.
Calculator Game Stealth MGS Master Collection Time
Estimates MGS Master Collection time.
Calculator Game Stealth Payday 3 Stealth Time
Estimates Payday 3 stealth time.
Calculator Game Horror Resident Evil Village Time
Estimates Resident Evil Village playtime by difficulty.
Calculator Game Horror Resident Evil 4 Remake Time
Estimates Resident Evil 4 Remake playtime.
Calculator Game Horror Silent Hill 2 Remake Time
Estimates Silent Hill 2 Remake playtime.
Calculator Game Horror Alan Wake 2 Time
Estimates Alan Wake 2 playtime.
Calculator Game Horror Amnesia The Bunker Time
Estimates Amnesia The Bunker playtime.
Calculator Game Horror The Callisto Protocol Time
Estimates The Callisto Protocol playtime.
Calculator Game Horror Dead Space Remake Time
Estimates Dead Space Remake playtime.
Calculator Game Horror Still Wakes the Deep Time
Estimates Still Wakes the Deep playtime.
Calculator Game Horror Mouthwashing Time
Estimates Mouthwashing playtime.
Calculator Game Horror Crow Country Time
Estimates Crow Country playtime.
Calculator Game Horror Mothered Time
Estimates Mothered playtime.
Calculator Game Horror Fobia St Dinfna Hotel Time
Estimates Fobia St Dinfna Hotel playtime.
Calculator Game Horror Fears to Fathom Prey Time
Estimates Fears to Fathom Prey playtime.
Calculator Game Flight MSFS 2024 Time
Estimates flight time in Microsoft Flight Simulator 2024.
Calculator Game Flight DCS World Time
Estimates mission time in DCS World combat sim.
Calculator Game Flight X-Plane 12 Time
Estimates flight time in X-Plane 12.
Calculator Game Flight Prepar 3D Time
Estimates flight time in Prepar3D simulator.
Calculator Game Flight IL-2 Sturmovik BoS Time
Estimates mission time in IL-2 Sturmovik Battle of Stalingrad.
Calculator Game Flight War Thunder Time
Estimates air battle time in War Thunder.
Calculator Game Flight Falcon BMS Time
Estimates mission time in Falcon BMS F-16.
Calculator Game Flight Helicopter Rotor Time
Estimates flight time in helicopter rotor sim.
Calculator Game Flight Flying Tigers Time
Estimates mission time in Flying Tigers Shadows over China.
Calculator Game Flight Rise of Flight Time
Estimates mission time in Rise of Flight WW1 sim.
Calculator Game Flight Cliffs of Dover Time
Estimates mission time in Cliffs of Dover Blitz.
Calculator Game Flight Strike Fighters Time
Estimates mission time in Strike Fighters 2.
Calculator Game Flight Aerofly FS 2024 Time
Estimates flight time in Aerofly FS 2024.
Calculator Game MOBA League of Legends Time 2
Estimates League of Legends match time.
Calculator Game MOBA Dota 2 Time 2
Estimates Dota 2 match time.
Calculator Game MOBA Deadlock Time
Estimates Deadlock match time.
Calculator Game MOBA Smite 2 Time
Estimates Smite 2 match time.
Calculator Game MOBA Pokemon Unite Time
Estimates Pokemon Unite match time.
Calculator Game MOBA Wild Rift Time
Estimates Wild Rift match time.
Calculator Game MOBA Arena of Valor Time
Estimates Arena of Valor match time.
Calculator Game MOBA Mobile Legends Time
Estimates Mobile Legends match time.
Calculator Game MOBA Honor of Kings Time
Estimates Honor of Kings match time.
Calculator Game MOBA Paragon Overprime Time
Estimates Paragon Overprime match time.
Calculator Game MOBA Predecessor Time
Estimates Predecessor match time.
Calculator Game MOBA Fault Time
Estimates Fault match time.
Calculator Game MOBA Omega Strikers Time
Estimates Omega Strikers match time.
Calculator Game Arcade Racing Mario Kart 8 Time
Estimates Mario Kart 8 Deluxe match time.
Calculator Game Arcade Racing Mario Kart World Time
Estimates Mario Kart World match time.
Calculator Game Arcade Racing Team Sonic Racing Time
Estimates Team Sonic Racing match time.
Calculator Game Arcade Racing Burnout Paradise Remastered Time
Estimates Burnout Paradise Remastered session time.
Calculator Game Arcade Racing Trackmania 2020 Time
Estimates Trackmania 2020 session time.
Calculator Game Arcade Racing Disney Speedstorm Time
Estimates Disney Speedstorm match time.
Calculator Game Arcade Racing Crash Team Racing Nitro Fueled Time
Estimates Crash Team Racing Nitro-Fueled match time.
Calculator Game Arcade Racing Hot Wheels Unleashed 2 Time
Estimates Hot Wheels Unleashed 2 match time.
Calculator Game Arcade Racing Redout 2 Time
Estimates Redout 2 session time.
Calculator Game Arcade Racing Grid Legends Time
Estimates Grid Legends session time.
Calculator Game Arcade Racing Cruisin Blast Time
Estimates Cruisin Blast match time.
Calculator Game Arcade Racing Need for Speed Heat Time
Estimates Need for Speed Heat session time.
Calculator Game Arcade Racing Rocket Arena Time
Estimates Rocket Arena match time.
Calculator Game ARPG Diablo 4 Time
Estimates Diablo 4 campaign and endgame average time.
Calculator Game ARPG Path of Exile 2 Time
Estimates Path of Exile 2 campaign and maps average time.
Calculator Game ARPG Last Epoch Time
Estimates Last Epoch campaign and monoliths average time.
Calculator Game ARPG Grim Dawn Time
Estimates Grim Dawn campaign and expansions average time.
Calculator Game ARPG Titan Quest 2 Time
Estimates Titan Quest 2 campaign average time.
Calculator Game ARPG Wolcen Time
Estimates Wolcen Lords of Mayhem campaign average time.
Calculator Game ARPG Undecember Time
Estimates Undecember campaign average time.
Calculator Game ARPG No Rest for the Wicked Time
Estimates No Rest for the Wicked campaign average time.
Calculator Game ARPG Magic Legends Time
Estimates Magic Legends campaign average time.
Calculator Game ARPG Warhammer 40K Rogue Trader Time
Estimates Warhammer 40K Rogue Trader campaign average time.
Calculator Game ARPG Torchlight Infinite Time
Estimates Torchlight Infinite campaign average time.
Calculator Game ARPG Immortal Gate of Pi Time
Estimates Immortal Gate of Pi campaign average time.
Calculator Game ARPG Fellowship Time
Estimates Fellowship dungeons average time.
Calculator Game VN 1000xResist Time
Estimates 1000xResist visual novel campaign average time.
Calculator Game VN Slay the Princess Time
Estimates Slay the Princess visual novel routes average time.
Calculator Game VN Coffee Talk 2 Time
Estimates Coffee Talk 2 visual novel campaign average time.
Calculator Game VN 13 Sentinels Aegis Rim Time
Estimates 13 Sentinels Aegis Rim visual novel campaign average time.
Calculator Game VN Paranormasight Time
Estimates Paranormasight visual novel campaign average time.
Calculator Game VN Saya no Uta Time
Estimates Saya no Uta visual novel routes average time.
Calculator Game VN Grisaia 2025 Time
Estimates Grisaia 2025 visual novel routes average time.
Calculator Game VN Fata Morgana Time
Estimates Fata Morgana visual novel campaign average time.
Calculator Game VN House Fata Morgana VD Time
Estimates House in Fata Morgana Visual Director visual novel campaign average time.
Calculator Game VN Hatoful Boyfriend Time
Estimates Hatoful Boyfriend visual novel routes average time.
Calculator Game VN Eliza Time
Estimates Eliza visual novel campaign average time.
Calculator Game VN Doki Doki Literature Club Plus Time
Estimates Doki Doki Literature Club Plus visual novel routes average time.
Calculator Game VN VA 11 Hall A Time
Estimates VA 11 Hall A visual novel campaign average time.
Calculator Time Idle Cookie Clicker Game
Estimates time required in Cookie Clicker.
Calculator Time Idle Cookie Clicker 2 Game
Estimates time required in Cookie Clicker 2.
Calculator Time Idle Realm Grinder Game
Estimates time required in Realm Grinder.
Calculator Time Idle Adventure Capitalist Game
Estimates time required in Adventure Capitalist.
Calculator Time Idle Adventure Communist Game
Estimates time required in Adventure Communist.
Calculator Time Idle Melvor Idle Game
Estimates time required in Melvor Idle.
Calculator Time Idle NGU Industries Game
Estimates time required in NGU Industries.
Calculator Time Idle Evolve Game
Estimates time required in Evolve idle game.
Calculator Time Idle Trimps Game
Estimates time required in Trimps.
Calculator Time Idle Antimatter Dimensions Game
Estimates time required in Antimatter Dimensions.
Calculator Time Idle Progress Knight Game
Estimates time required in Progress Knight.
Calculator Time Idle Orb of Creation Game
Estimates time required in Orb of Creation.
Calculator Time Idle Generic Incremental Game
Estimates time required in generic incremental game.
Calculator Game Adventure Thimbleweed Park Time
Estimates progression time in Thimbleweed Park.
Calculator Game Adventure Return to Monkey Island Time
Estimates progression time in Return to Monkey Island.
Calculator Game Adventure Broken Age Time
Estimates progression time in Broken Age.
Calculator Game Adventure Figment 2 Time
Estimates progression time in Figment 2.
Calculator Game Adventure Machinarium Time
Estimates progression time in Machinarium.
Calculator Game Adventure Samorost 3 Time
Estimates progression time in Samorost 3.
Calculator Game Adventure Creaks Time
Estimates progression time in Creaks.
Calculator Game Adventure Syberia The World Before Time
Estimates progression time in Syberia The World Before.
Calculator Game Adventure Life is Strange Double Exposure Time
Estimates progression time in Life is Strange Double Exposure.
Calculator Game Adventure Detroit Become Human Time
Estimates progression time in Detroit Become Human.
Calculator Game Adventure Heavy Rain Time
Estimates progression time in Heavy Rain.
Calculator Game Adventure Beyond Two Souls Time
Estimates progression time in Beyond Two Souls.
Calculator Game Adventure Quantum Break Time
Estimates progression time in Quantum Break.
Calculator Time Platformer Celeste 2
Estimates progression time in Celeste.
Calculator Time Platformer Hollow Knight 3
Estimates progression time in Hollow Knight.
Calculator Time Platformer Shovel Knight
Estimates progression time in Shovel Knight.
Calculator Time Platformer Ori and the Blind Forest
Estimates progression time in Ori and the Blind Forest.
Calculator Time Platformer Ori and the Will of the Wisps
Estimates progression time in Ori and the Will of the Wisps.
Calculator Time Platformer Rayman Legends
Estimates progression time in Rayman Legends.
Calculator Time Platformer Cuphead
Estimates progression time in Cuphead.
Calculator Time Platformer Pizza Tower
Estimates progression time in Pizza Tower.
Calculator Time Platformer Spelunky 2
Estimates progression time in Spelunky 2.
Calculator Time Platformer Rabbit and Steel
Estimates progression time in Rabbit and Steel.
Calculator Time Platformer Yoshi Crafted World
Estimates progression time in Yoshi Crafted World.
Calculator Time Platformer Rayman Redemption
Estimates progression time in Rayman Redemption.
Calculator Time Platformer Celeste 64
Estimates progression time in Celeste 64.
Game Calculator RTS Stormgate Time
Estimates game time in the modern RTS Stormgate.
Game Calculator RTS ZeroSpace Time
Estimates game time in the modern RTS ZeroSpace.
Game Calculator RTS Broken Arrow Time
Estimates game time in the modern RTS Broken Arrow.
Game Calculator RTS Tempest Rising Time
Estimates game time in the modern RTS Tempest Rising.
Game Calculator RTS Godsworn Time
Estimates game time in the modern RTS Godsworn.
Game Calculator RTS Immortal Gates of Pyre Time
Estimates game time in the modern RTS Immortal Gates of Pyre.
Game Calculator RTS Iron Harvest 1920 Time
Estimates game time in the modern RTS Iron Harvest 1920.
Game Calculator RTS Northgard Time
Estimates game time in the modern RTS Northgard.
Game Calculator RTS They Are Billions Time
Estimates game time in the modern RTS They Are Billions.
Game Calculator RTS SpellForce 3 Reforced Time
Estimates game time in the modern RTS SpellForce 3 Reforced.
Game Calculator RTS WARNO Time
Estimates game time in the modern RTS WARNO.
Game Calculator RTS Regiments Time
Estimates game time in the modern RTS Regiments.
Game Calculator RTS Songs of Conquest Time
Estimates game time in the modern RTS Songs of Conquest.
Calculator Game Stealth Tactics Shadow Tactics Blades of the Shogun Time
Estimates playtime in stealth tactics Shadow Tactics Blades of the Shogun.
Calculator Game Stealth Tactics Desperados 3 Time
Estimates playtime in stealth tactics Desperados 3.
Calculator Game Stealth Tactics Aiko Choice Time
Estimates playtime in stealth tactics Aiko Choice.
Calculator Game Stealth Tactics Mutant Year Zero Time
Estimates playtime in stealth tactics Mutant Year Zero Road to Eden.
Calculator Game Stealth Tactics Corruption 2029 Time
Estimates playtime in stealth tactics Corruption 2029.
Calculator Game Stealth Tactics Marvel Midnight Suns Time
Estimates playtime in tactics Marvel Midnight Suns.
Calculator Game Stealth Tactics Othercide Time
Estimates playtime in tactics Othercide.
Calculator Game Stealth Tactics XCOM Chimera Squad Time
Estimates playtime in tactics XCOM Chimera Squad.
Calculator Game Stealth Tactics Phantom Doctrine Time
Estimates playtime in tactics Phantom Doctrine.
Calculator Game Stealth Tactics Jagged Alliance 3 Time
Estimates playtime in tactics Jagged Alliance 3.
Calculator Game Stealth Tactics Classified France 44 Time
Estimates playtime in tactics Classified France 44.
Calculator Game Stealth Tactics Menace Time
Estimates playtime in tactics Menace.
Calculator Game Stealth Tactics Empire of the Strangers Time
Estimates playtime in tactics Empire of the Strangers.
Calculator Puzzle Physics Game Portal 3 Time
Estimates time to complete Portal 3 (modern puzzle physics) based on pace.
Calculator Puzzle Physics Game Cocoon 2 Time
Estimates time to complete Cocoon 2 (modern puzzle physics) based on pace.
Calculator Puzzle Physics Game Superliminal 2 Time
Estimates time to complete Superliminal 2 (modern puzzle physics) based on pace.
Calculator Puzzle Physics Game The Witness 2 Time
Estimates time to complete The Witness 2 (modern puzzle physics) based on pace.
Calculator Puzzle Physics Game Creaks Time
Estimates time to complete Creaks (modern puzzle physics) based on pace.
Calculator Puzzle Physics Game Machinarium 2 Time
Estimates time to complete Machinarium 2 (modern puzzle physics) based on pace.
Calculator Puzzle Physics Game Gravitar Redux Time
Estimates time to complete Gravitar Redux (modern puzzle physics) based on pace.
Calculator Puzzle Physics Game Portal Reloaded Time
Estimates time to complete Portal Reloaded (modern puzzle physics) based on pace.
Calculator Puzzle Physics Game Q Remastered Time
Estimates time to complete Q Remastered (modern puzzle physics) based on pace.
Calculator Puzzle Physics Game Sokoban v2 Time
Estimates time to complete Sokoban v2 (modern physics sokoban) based on pace.
Calculator Puzzle Physics Game Snake Stacks Time
Estimates time to complete Snake Stacks (modern puzzle physics) based on pace.
Calculator Puzzle Physics Game Blocky Build Time
Estimates time to complete Blocky Build (modern puzzle physics) based on pace.
Calculator Puzzle Physics Game Bricks Stack Time
Estimates time to complete Bricks Stack (modern puzzle physics) based on pace.
Calculator Game TD 2 Bloons TD 7 Time
Estimates Bloons TD 7 campaign time per level.
Calculator Game TD 2 Kingdom Rush Alliance Time
Estimates Kingdom Rush Alliance campaign time per level.
Calculator Game TD 2 PixelJunk Monsters 2 Time
Estimates PixelJunk Monsters 2 campaign time per level.
Calculator Game TD 2 Defenders Quest 2 Time
Estimates Defenders Quest 2 campaign time per level.
Calculator Game TD 2 Fieldrunners 2 Time
Estimates Fieldrunners 2 campaign time per level.
Calculator Game TD 2 Dungeon Warfare 2 Time
Estimates Dungeon Warfare 2 campaign time per level.
Calculator Game TD 2 Anomaly 2 Time
Estimates Anomaly 2 campaign time per level.
Calculator Game TD 2 Rampage Knights Time
Estimates Rampage Knights campaign time per level.
Calculator Game TD 2 Arknights Endfield Time
Estimates Arknights Endfield campaign time per level.
Calculator Game TD 2 Undefeated Time
Estimates Undefeated campaign time per level.
Calculator Game TD 2 Tower Defense Simulator Time
Estimates Tower Defense Simulator campaign time per level.
Calculator Game TD 2 Toy Tactics Time
Estimates Toy Tactics campaign time per level.
Calculator Game TD 2 Bardbarian Time
Estimates Bardbarian campaign time per level.
Calculator Game Metroidvania 2 Aeterna Noctis 2 Time
Estimates Aeterna Noctis 2 campaign time per area.
Calculator Game Metroidvania 2 Blasphemous 3 Time
Estimates Blasphemous 3 campaign time per area.
Calculator Game Metroidvania 2 Bo Path 2 Time
Estimates Bo Path of the Teal Lotus 2 campaign time per area.
Calculator Game Metroidvania 2 Ender Magnolia Time
Estimates Ender Magnolia campaign time per area.
Calculator Game Metroidvania 2 The Last Faith Time
Estimates The Last Faith campaign time per area.
Calculator Game Metroidvania 2 9 Years of Shadows Time
Estimates 9 Years of Shadows campaign time per area.
Calculator Game Metroidvania 2 Ghost Song Time
Estimates Ghost Song campaign time per area.
Calculator Game Metroidvania 2 Axiom Verge 3 Time
Estimates Axiom Verge 3 campaign time per area.
Calculator Game Metroidvania 2 Vigil The Longest Night Time
Estimates Vigil The Longest Night campaign time per area.
Calculator Game Metroidvania 2 Mandragora Time
Estimates Mandragora campaign time per area.
Calculator Game Metroidvania 2 Replaced Time
Estimates Replaced campaign time per area.
Calculator Game Metroidvania 2 The Knight Witch Time
Estimates The Knight Witch campaign time per area.
Calculator Game Metroidvania 2 Touhou Luna Nights Time
Estimates Touhou Luna Nights campaign time per area.
Calculator Roguelite Game Hades 2 Time
Estimates average Hades 2 run time.
Calculator Roguelite Game Balatro 2 Time
Estimates average Balatro 2 run time.
Calculator Roguelite Game Cult of the Lamb Time
Estimates Cult of the Lamb run time.
Calculator Roguelite Game Dead Cells 2 Time
Estimates Dead Cells 2 run time.
Calculator Roguelite Game Roboquest Time
Estimates Roboquest run time.
Calculator Roguelite Game Rogue Genesia Time
Estimates Rogue Genesia run time.
Calculator Roguelite Game Vampire Survivors 2 Time
Estimates Vampire Survivors 2 run time.
Calculator Roguelite Game Brotato Time
Estimates Brotato run time.
Calculator Roguelite Game Soulstone Survivors Time
Estimates Soulstone Survivors run time.
Calculator Roguelite Game Halls of Torment Time
Estimates Halls of Torment run time.
Calculator Roguelite Game Yet Another Zombie Survivors Time
Estimates Yet Another Zombie Survivors run time.
Calculator Roguelite Game Tiny Rogues Time
Estimates Tiny Rogues run time.
Calculator Roguelite Game Noita 2 Time
Estimates Noita 2 run time.
Time Calculator for Prey 2
Calculates time to complete Prey 2 (modern immersive sim).
Time Calculator for Deus Ex Mankind Divided
Calculates time to complete Deus Ex Mankind Divided (modern immersive sim).
Time Calculator for Dishonored 3
Calculates time to complete Dishonored 3 (modern immersive sim).
Time Calculator for System Shock 2025
Calculates time to complete System Shock 2025 (modern immersive sim).
Time Calculator for Cruelty Squad
Calculates time to complete Cruelty Squad (modern immersive sim).
Time Calculator for Gloomwood
Calculates time to complete Gloomwood (modern immersive sim).
Time Calculator for Peripeteia
Calculates time to complete Peripeteia (modern immersive sim).
Time Calculator for Fallen Aces
Calculates time to complete Fallen Aces (modern immersive sim).
Time Calculator for Clandestine
Calculates time to complete Clandestine (modern immersive sim).
Time Calculator for Weird West
Calculates time to complete Weird West (modern immersive sim).
Time Calculator for Rogue State Revolution
Calculates time to complete Rogue State Revolution (modern immersive sim).
Time Calculator for Fortunes Keep
Calculates time to complete Fortunes Keep (modern immersive sim).
Time Calculator for Styx Immersive
Calculates time to complete Styx Immersive (modern immersive sim).
Triangle Strategy 2 Time Calculator
Calculates time to complete Triangle Strategy 2 (modern tactical RPG).
Tactics Ogre Cordis Time Calculator
Calculates time to complete Tactics Ogre Cordis (modern tactical RPG).
Fire Emblem Engage Time Calculator
Calculates time to complete Fire Emblem Engage (modern tactical RPG).
Unicorn Overlord 2 Time Calculator
Calculates time to complete Unicorn Overlord 2 (modern tactical RPG).
Troubleshooter Abandoned Children Time Calculator
Calculates time to complete Troubleshooter (modern tactical RPG).
Disgaea 7 Time Calculator
Calculates time to complete Disgaea 7 (modern tactical RPG).
Fae Tactics Time Calculator
Calculates time to complete Fae Tactics (modern tactical RPG).
Fell Seal Arbiters Mark Time Calculator
Calculates time to complete Fell Seal Arbiters Mark (modern tactical RPG).
Relayer Time Calculator
Calculates time to complete Relayer (modern tactical RPG).
Front Mission 2 Remake Time Calculator
Calculates time to complete Front Mission 2 Remake (modern tactical RPG).
Shining Force Cross Time Calculator
Calculates time to complete Shining Force Cross (modern tactical RPG).
Master of Monster Arena Time Calculator
Calculates time to complete Master of Monster Arena (modern tactical RPG).
Symphony of War Time Calculator
Calculates time to complete Symphony of War (modern tactical RPG).
CRPG Party Pillars 2 Fellowship Completion Time Calculator
Estimates completion time for Pillars 2 Fellowship CRPG party.
CRPG Party Pathfinder Kingmaker 2 Completion Time Calculator
Estimates completion time for Pathfinder Kingmaker 2 CRPG party.
CRPG Party BG3 Honor Mode Completion Time Calculator
Estimates completion time for BG3 Honor Mode CRPG party.
CRPG Party Solasta Magister 2 Completion Time Calculator
Estimates completion time for Solasta Magister 2 CRPG party.
CRPG Party Pathfinder WotR 2 Completion Time Calculator
Estimates completion time for Pathfinder WotR 2 CRPG party.
CRPG Party Knights of the Old Republic Remake Completion Time Calculator
Estimates completion time for KotOR Remake CRPG party.
CRPG Party Temple of Elemental Evil Remake Completion Time Calculator
Estimates completion time for Temple of Elemental Evil Remake CRPG party.
CRPG Party Shadowrun Trilogy Completion Time Calculator
Estimates completion time for Shadowrun Trilogy CRPG party.
CRPG Party Divinity Original Sin 3 Completion Time Calculator
Estimates completion time for Divinity Original Sin 3 CRPG party.
CRPG Party Pillars 3 Completion Time Calculator
Estimates completion time for Pillars 3 CRPG party.
CRPG Party Realm of Arkania Remake Completion Time Calculator
Estimates completion time for Realm of Arkania Remake CRPG party.
CRPG Party Wasteland 4 Completion Time Calculator
Estimates completion time for Wasteland 4 CRPG party.
CRPG Party Encased 2 Completion Time Calculator
Estimates completion time for Encased 2 CRPG party.
Playable Tetris
Classic playable Tetris: rotate and stack pieces to clear lines. Arrows move, ↑ rotates, space hard-drops. NES scoring table, level up every 10 lines.
Playable Sudoku
9×9 Sudoku with board generator and three difficulties (easy, medium, hard). Click a cell and type 1-9. Verify the solution with one click.
Playable Space Invaders
Classic Space Invaders: waves of aliens descend in formation, shoot before they reach you. ← → move, space shoots. Points scale by row.
Playable Asteroids
Atari-style Asteroids: pilot a ship and destroy asteroids that split into smaller pieces. ← → rotate, ↑ thrust, space shoots. With inertia physics and screen wrap.
Playable Frogger
Classic Frogger: cross the road full of cars and the river hopping on logs to bring 5 frogs home. Arrows move. River requires hopping on moving logs.
Playable Pac-Man
Pac-Man in a maze: eat all the pellets while avoiding 4 ghosts. Power pellets make ghosts vulnerable for a few seconds. Arrows move.
Whack-a-Mole
Moles pop up randomly on a 3×3 grid. Click before they disappear. You have 30 seconds to score as many points as possible.
Car Dodge (Racing)
Dodging game: drive a blue car on a road and avoid other vehicles coming from above. ← → switch lanes. Speed increases with score.
Klondike Solitaire
Classic Klondike Solitaire (52 cards, 7 columns, 4 foundations). Move cards to stack A→K on foundations by suit. Click to select and move.
Doodle Jump Mini
Miniature Doodle Jump: jump from platform to platform to climb as high as possible. ← → move (with screen wrap). High score saved in the browser.
Playable Bomberman
Classic Bomberman on a 13×13 grid: drop bombs, destroy walls and eliminate 3 enemies without blowing yourself up. Arrows move, space drops a bomb.
Playable Yahtzee
Classic Yahtzee: roll 5 dice up to 3 times per turn, lock dice and score in 13 categories (ones, twos, three-of-a-kind, full house, straight, Yahtzee, chance).
Mahjong Solitaire
Mahjong Solitaire across 3 layers: match pairs of free tiles (no tile on top and at least one side free) until you remove all 48 tiles.
Playable Galaga
Namco-style Galaga: formation of aliens above, curved diving attacks. ← → move, space shoots. Bigger points for attacking enemies.
Random Maze Game
Generates a random maze (DFS) in 3 sizes (11×11, 21×21, 31×31). Use arrow keys to reach the green exit at the bottom-right corner.
Stack Blocks
Timing game: the block moves sideways, space/click drops it. Overlaps trim the block. How many floors can you stack?
Pinball Mini
Mini Pinball with 2 flippers (Z/← and M/→) and 5 bumpers that score points. Space launches the ball. 3 balls; don't let them drain.
Tank Battle (vs CPU)
Atari Combat-style tank duel: WASD move, J shoots bouncing bullets. First to 5 points wins.
Helicopter (Cave Flyer)
Helicopter Game style: hold space to ascend, release to descend. Fly through a narrow cave avoiding ceiling, floor and obstacles. High score saved.
Playable Centipede
Atari Centipede: shoot the centipede snaking down through mushrooms. Hits to the middle split it in two. Use arrows and space.
Playable Checkers (vs CPU)
Classic checkers on an 8×8 board against CPU. You play white. Captures are mandatory when available. Pieces are crowned when they reach the end.
Spider Solitaire (1 suit)
Simple 1-suit Spider Solitaire: 104 cards, 10 columns. Build 8 descending K→A sequences. Stock deals 10 cards at a time.
Match-3 Gems Mini
Match-3 game on an 8×8 board. Swap adjacent gems to create matches of 3 or more. You have 60 seconds to score.
Bubble Shooter
Shoot bubbles to form groups of 3+ of the same color to remove them. Aim with the mouse, click to fire. Don't let the row reach the bottom.
Tower Defense Mini
Simple tower defense: click on green cells to place towers (50 gold each) that auto-shoot. Don't let enemies cross.
Endless Runner
Chrome Dino-style: run forever, jump (space/↑) over cacti and duck (↓) under birds. Speed increases with distance. High score saved.
Color Switch Mini
Colored ball climbs through rotating 4-color rings. Pass only through matching color. Stars change the ball's color.
Piano Tiles
Tap the falling black tiles before they escape at the bottom. 4 columns (keys D F J K or click). Speed increases with score.
Tron Light Cycles (vs CPU)
Two bikes leaving light trails. Don't crash into your own trail, the enemy's, or walls. Arrows move. First to 3 wins.
Pong 2 Players (Local)
Classic Pong for 2 local players: P1 uses W/S and P2 uses ↑/↓. First to 7 points wins. No CPU.
Wordle in Portuguese
Guess the 5-letter secret word in up to 6 tries. Green = correct letter, yellow = correct letter wrong spot, gray = absent. Portuguese word bank.
Playable Blackjack (21)
Blackjack against the dealer: hit, stand or double. Dealer hits to 17. Natural Blackjack pays 2×. Start with 100 chips and bet 10 per hand.
Conway's Game of Life
Classic cellular automaton on a 48×48 grid. Click to toggle live cells. Play/pause, step, randomize. Rules: 2-3 neighbors survives, 3 born.
Casino Roulette (European)
European roulette with 37 numbers (0-36). Bet on color, even/odd, dozens or exact number. Spin animation. Start with 100 chips.
Video Poker (Jacks or Better)
5-card draw with Jacks or Better paytable: Royal Flush 800×, Straight Flush 50×, Quads 25×, Full House 9×, Flush 6×, Straight 4×, Trips 3×, 2 Pair 2×, Pair J+ 1×.
Playable Craps
Classic craps: bet Pass Line or Don't Pass. Win or lose on come-out, or set a point to roll before a 7. 100 chips to start.
Cannon Projectile (Physics)
Aim a cannon by dragging the mouse to adjust angle and power. Hit targets with projectiles under gravity. Each level adds a target.
2048 Game (6×6)
6×6 variation of 2048: more space, more combinations. Arrow keys to merge equal tiles. High score saved in the browser.
Flow Free Mini (Connect the Dots)
Connect pairs of colored dots with paths that don't cross, filling the entire 5×5 grid. 5 pre-defined levels. Drag to draw.
Nonogram Mini (Picross 5×5)
Picross/Nonogram 5×5: figure out which cells are filled using row/column clues (consecutive groups). Left-click fills, right-click X.
Pool / Billiards
Pool table with 9 colored balls and 6 pockets. Drag from the cue ball to aim and set power. Pocket all balls. Physics with friction and collisions.
Mini Golf 2D
Top-down mini-golf with 9 progressive holes. Drag from the ball to aim and set power. Obstacles and water on advanced holes.
Basketball Arcade
Basketball shooting with a moving hoop. Drag from the ball to aim (parabolic). 30 seconds to score as many baskets as possible.
Archery (Bow and Arrow)
Bow and arrow: drag from the archer to draw the string. 10 arrows, target with rings of different points, with wind and gravity.
Pyramid Solitaire
Pyramid solitaire with 28 cards in triangle shape. Remove pairs summing 13 (A=1, J=11, Q=12). Kings go alone. Stock flips cards.
Water Sort Puzzle
Sort colored liquids in tubes. Click source then destination tube to pour. Destination only accepts the same color on top. Goal: monochrome tubes.
Block Puzzle 1010
1010!-style: fit Tetris-like pieces in a 10×10 grid. Full rows/columns disappear. Game over when no piece fits. High score saved.
Virtual Jenga
Block tower: remove pieces without toppling. Middle pieces drop stability more. Try to remove as many as possible before it falls.
Dominoes (vs CPU)
Traditional dominoes with 28 tiles (0-6). Each player starts with 7. Match numbers at the ends. First to empty hand wins.
FreeCell Solitaire
FreeCell solitaire with 52 cards, 8 cascades, 4 freecells and 4 foundations. Stack A→K by suit on foundations. One card moves at a time.
UNO Mini (vs CPU)
Simplified UNO with 4 colors, 0-9, +2, reverse, skip and wildcards. Match color or number. Start with 7 cards. First to empty hand wins.
Pipe Mania (Plumber)
Rotate pipe pieces to connect input → output. Then release the water to test. Each level generates a different path. Pipe Dream style.
Onet (Pikachu Connect)
Match pairs of identical pieces connectable by a line with at most 2 turns without crossing others. 12 icons × 4 = 48 tiles. 2 min.
Spot the 5 Differences
Generates two images with random colored shapes and 5 differences. Click the differences on image B. Time: 60 seconds.
Q*bert Mini
Q*bert-style: isometric cube pyramid. Hop diagonally (Q/W/A/S) to paint all cubes. Enemies appear in later stages.
Burger Time Mini
BurgerTime-style: chef steps on ingredients to make burgers fall. Climb ladders, use pepper to stun enemies. Arrows + space.
Arkanoid with Levels and Power-ups
Advanced Breakout/Arkanoid: magnets, multi-ball, wide paddle, extra lives. Levels with HP-2 blocks. Power-ups drop randomly.
Pig (Push-Your-Luck Dice)
Classic push-your-luck dice game: sum points rolling. Rolled a 1 = bust the turn. Hold to bank. First to 100 wins. You vs CPU.
Wave Surf (Timing)
Endless surf: space/click to jump waves at the right timing. Missing a wave = wipeout. Speed increases. High score saved in the browser.
Playable Ludo (vs CPU)
Simplified 2-player Ludo (You vs CPU). 4 pieces each. Roll a 6 to leave base. Capture opponent pieces. Get all home.
15-Puzzle (Sliding Tiles)
Classic 4x4 15-puzzle with numbered tiles to slide until sorted; tracks moves, time and offers a solvable shuffle.
Mini Shogi (Japanese Chess 5x5)
Play Shogi (Japanese chess) on a simplified 5x5 board with basic rules for movement, capture and re-drop of pieces.
Lights Out 7x7
Bigger variation of the classic Lights Out — click a cell to toggle it and its 4 neighbors; goal: all off.
Slitherlink Mini 5×5
Solve the Japanese Slitherlink logic puzzle in a 5×5 grid by drawing a continuous loop that satisfies each cell's number.
Hidato Puzzle Mini Game
Solve 5×5 Hidato puzzles: connect numbers 1 to N in sequence via adjacencies (horiz/vert/diag) on a pre-filled grid.
Nonosweeper Hexagonal
Hybrid of Nonogram and Minesweeper on a hexagonal grid — uncover mines using row/column clues in picross style.
Futoshiki 5x5 Game
Playable 5x5 Futoshiki: fill the grid respecting < > inequalities between cells and the latin-square rule.
Ear Training: Identify the Interval
Ear training game: plays two tones and player identifies the interval (major 3rd, perfect 5th, tritone...) ascending/descending/harmonic modes.
Portuguese Anagram Game
Game of scrambling letters of a Portuguese word and trying to form the original within a timer, with a dictionary of 500 words per difficulty.
Akari (Light Up) 5x5
Akari (Light Up) 5x5 logic puzzle where the player places light bulbs illuminating the whole board without conflicts.
Letter Boxed PT Game
Solve the Letter Boxed puzzle in Portuguese, forming words with 12 letters arranged on the sides of a square without repeating consecutive letters from the same side.
Hashi (Bridges) Mini Game
Japanese logic puzzle Hashiwokakero (Bridges): connect islands with 1 or 2 bridges respecting the number shown on each.
Hypergeometric Card Draw Simulator
Configure card deck (size, copies, hand size) and simulate 10000 draws to see real probability distribution. MTG, Pokemon, Yu-Gi-Oh.
Go (Igo) 9x9 Mini-Game with SGF Export
Mini Go game on 9x9 board with basic rules (capture, ko) and kifu (record) export in standard SGF format. No AI, two players in same browser.
Bulls and Cows (4 digits)
The computer picks a 4-digit number with unique digits. Each guess returns Bulls (right digit, right position) and Cows (right digit, wrong position) with a guess history.
Binairo / Takuzu 6×6
A 6×6 binary logic puzzle: no three equal in a row/column, exactly three 0s and three 1s per row/column, all rows and columns distinct. Click a cell to cycle 0 → 1 → blank.
Connect Four Game
Classic Connect Four game vs AI with 3 levels (random, minimax 2, minimax 4) and two-player mode.
Hangman with Category Hint
Hangman variant: each word includes a category hint (animals, countries, fruits, jobs, sports). 6 lives, words shuffled across 5 different categories. All in your browser.
15-Puzzle Solver (step-by-step)
Solves 15-puzzle (4×4) using A* with Manhattan distance heuristic — shows the move sequence U/D/L/R (slide tile into empty cell). Useful for understanding the solution, not for gameplay.
Nurikabe Mini 5×5 Puzzle
Japanese Nurikabe logic puzzle (Nikoli) on a 5×5 grid: separate white islands (sized by the numbers) from a single connected black wall that has no 2×2 fully-black block. Click to toggle cells and validate the solution.
Shikaku 5×5 Puzzle (Nikoli)
Japanese Shikaku puzzle by Nikoli: partition the 5×5 grid into axis-aligned rectangles so each contains exactly one number and has exactly that area. Define rectangles by clicking two corners and validate.
🛠 Dev
Pix Decoder
Decode Brazilian Pix BR Code (text starting with 0002...) extracting key, amount, beneficiary, city and identifier.
Icon Finder
Search SVG icons from the Lucide library (1300+ icons) by name. Copy the SVG or component name.
.env Formatter
Formats .env files: sort variables, group by prefix, quote values and remove duplicates.
Unicode Info
Shows details of each character: code point (U+XXXX), official name, category, UTF-8 bytes, HTML/JS escapes.
Cron Generator
Generate cron expressions (5 fields: minute, hour, day, month, weekday) with common presets and natural-language description.
.htaccess Generator
Generate Apache .htaccess snippets: force HTTPS, redirect www, expire cache, GZIP compress, block IPs.
Typographic Scale
Generate a harmonic typographic scale based on a ratio (1.125, 1.25, 1.333, 1.5, 1.618). Output in rem, px and CSS clamp.
Strikethrough Text Generator
Transform any text into strikethrough text using Unicode combining characters. Works on social networks.
Zalgo Text Generator
Generate creepy Zalgo text with overlapping diacritical characters. Control the intensity of the effect.
Text Diff
Compare two texts and see the differences highlighted line by line. Useful for reviewing documents and code.
JSON Formatter
Format, validate and minify JSON online. Paste raw JSON and get a readable, indented version.
Regex Tester
Test regular expressions in real time. See highlighted matches and captured groups.
Cron Expression Editor
Parse and build cron expressions with human-readable descriptions, next execution times and shortcuts for common schedules.
JWT Decoder
Decode and inspect JWT (JSON Web Tokens). View the header, payload and verify expiration. Processed 100% in the browser — the token never leaves your device.
CSS Gradient Generator
Create linear and radial CSS gradients with real-time preview. Adjust colors, positions and angle. Copy the CSS code with one click.
JSON ↔ CSV Converter
Convert data between JSON (array of objects) and CSV bidirectionally. Paste and convert instantly in the browser, no file upload needed.
PX ↔ REM / EM Converter
Convert pixels to REM and EM and vice versa with configurable base. Reference table with the most common CSS sizes. Essential for web.
CSS Box Shadow Generator
Create CSS box shadows with real-time preview. Configure multiple shadow layers, color, blur, spread and inset. Copy the CSS code.
URL Analyzer
Decompose any URL into its components: protocol, host, pathname, query parameters and hash. Inspect query strings individually.
HTML Formatter
Format and indent HTML code for better readability. Ideal for reviewing and debugging HTML quickly.
HTML Minifier
Minify HTML code by removing unnecessary whitespace and comments to reduce file size in production.
HTML Escape / Unescape
Escape special HTML characters (<, >, &, ", ') to HTML entities and convert entities back to text.
HTML Validator
Check for syntax and structure errors in HTML code. Identify unclosed tags and common problems.
HTML Tag Remover
Remove all HTML tags from text, leaving only the pure content without markup. Useful for extracting text from HTML.
CSS Formatter
Format and indent CSS code for better readability and maintenance.
CSS Minifier
Minify CSS code by removing whitespace, comments and unnecessary characters for production use.
JavaScript Formatter
Format and indent JavaScript code for better readability and debugging.
JavaScript Minifier
Minify JavaScript code by removing whitespace and comments to reduce file size in production.
JavaScript Escape / Unescape
Escape JavaScript strings by adding backslashes before special characters and convert back to the original.
JSON Validator
Validate JSON data to check for syntax errors. Detailed error report with line and position of the problem.
JSON Escape / Unescape
Escape strings for use in JSON by adding backslashes and convert JSON strings back to the original text.
XML Formatter
Format and indent XML code for better readability and inspection.
XML Minifier
Minify XML data by removing unnecessary whitespace and line breaks for production.
XML Validator
Validate XML data to check for syntax and structure errors.
XML Escape / Unescape
Escape special XML characters (<, >, &, ", ') to entities and convert XML entities back to text.
YAML Validator
Validate YAML data to check for syntax and indentation errors.
SQL Formatter
Format SQL code for better readability. Supports SELECT, INSERT, UPDATE, DELETE and other commands.
SQL Minifier
Minify SQL code by removing unnecessary whitespace and comments.
JWT Token Decoder
Decode JWT (JSON Web Tokens) and view the header, payload and signature. Automatically detects expiration. Useful for debugging API authentication.
HTML Table Generator
Paste CSV, TSV or semicolon-separated data and instantly generate an HTML table with thead, tbody and live preview.
HTML Preview
Write HTML, CSS and JavaScript and see the rendered result in real time. Isolated sandbox — no code is sent to any server.
HTTP Status Codes
Look up all HTTP status codes with names and descriptions. Search by code or keyword. Quick reference for developers.
Unix Permissions Calculator (chmod)
Calculate Unix file permissions visually. Check read, write and execute for owner, group and others to get the octal code (e.g. 755) and symbolic notation (e.g. rwxr-xr-x).
User-Agent Parser
Parse User-Agent strings and identify browser, version, operating system and device type. Perfect for debugging access logs.
Case Converter
Convert text between camelCase, PascalCase, snake_case, SCREAMING_SNAKE_CASE, kebab-case, dot.case, Title Case and more with one click. Perfect for renaming variables and API fields.
IPv4 Subnet Calculator
Calculate IPv4 subnets with CIDR notation. Enter an IP address and prefix (e.g. 192.168.1.0/24) to get the network address, broadcast, host range, subnet mask and binary representation.
Markdown Table Generator
Build Markdown tables visually — add rows and columns, edit cells and copy the GFM syntax ready for README, Notion or GitHub. No manual formatting.
Docker Run → Compose
Convert a docker run command to the equivalent docker-compose.yml automatically. Maps ports, volumes, environment variables, networks and restart policies.
SVG Optimizer
Reduce SVG file size by removing metadata, comments, editor attributes (Inkscape, Illustrator) and unnecessary whitespace. Processed in your browser.
CSS Clamp Calculator
Generate CSS clamp() values for fluid typography and spacing. Enter minimum/maximum sizes and viewport widths to get a ready-to-paste clamp() function.
CSV Validator & Viewer
Validate, parse and visualize CSV data in table format. Automatically detects delimiters (comma, semicolon or tab) and highlights formatting errors.
JSON Comparator
Compare two JSON objects and visualize differences side by side: added, removed and changed fields. Supports nested structures. Processed in your browser.
Truth Table
Generate truth tables for Boolean logic expressions. Supports AND, OR, NOT, XOR, NAND and NOR. Auto-detects variables and shows all possible combinations. Processed in the browser.
JSON Flatten / Unflatten
Flatten a nested JSON into dot-notation keys (e.g. user.address.city) and rebuild the reverse path. Useful to export to CSV, generate .env files or compare configs. Everything in your browser.
CSS Border Radius Generator
Create custom rounded shapes with 8 independent controls (4 corners × 2 axes). Live preview and ready-to-copy CSS. Everything in your browser.
Cubic Bezier Generator
Create and visualize cubic-bezier curves for CSS animations. Drag control points, preview the animation and copy the value. Includes presets (ease, ease-in, ease-out). Everything in your browser.
CSS Clip-Path Generator
Create CSS shapes with clip-path: polygons, circles, ellipses and insets. Pick presets (star, hexagon, arrow, chevron) and copy the ready code. Everything in your browser.
CSS Triangle Generator
Create pure CSS triangles using the border trick. Choose direction (up, down, left, right), size and color. Useful for tooltips, arrows and pointers. Everything in your browser.
CSS Glassmorphism Generator
Create frosted-glass effects with backdrop-filter, transparency and borders. Adjust blur, saturation and opacity. Live preview and copy-ready CSS. Everything in your browser.
CSS Grid Generator
Build CSS Grid layouts visually: define rows, columns, gaps and alignment. Live preview and ready-to-copy CSS. Everything in your browser.
CSS Loader Generator
Create pure-CSS spinners and loaders in 8 styles (ring, dots, pulse, bars, etc.). Adjust color, size and speed. No libs, no GIFs. Everything in your browser.
Mesh Gradient Generator
Create modern mesh gradients by combining multiple radial-gradients. Add, remove and drag points to compose vibrant backgrounds Stripe/Linear style. Everything in your browser.
CSS Neumorphism Generator
Create Soft UI (neumorphism) effects with two complementary box-shadows. Adjust base color, distance, blur and type (raised, flat, pressed). Copy ready CSS. Everything in your browser.
CSS Button Generator
Create custom CSS buttons: color, text, padding, border-radius, shadow and hover. Live preview and ready-to-copy HTML+CSS. Everything in your browser.
Hexdump
View any text as a canonical hexdump (offset / hex bytes / ASCII), like Unix `hexdump -C`. Useful to inspect binary data, encoding and invisible separators. Everything in your browser.
MIME Types (Reference)
Searchable MIME type table — search by extension (.json, .pdf) or MIME (application/json, image/png). Includes common formats for web, audio, video, fonts and documents. Everything in your browser.
Keycode Info
Press any key and see `event.key`, `event.code`, `keyCode`, `which` and `location`. Useful to build shortcuts, games and keyboard-aware forms. Everything in your browser.
Regex Cheatsheet
Quick reference of the main regular expressions — quantifiers, classes, anchors, groups, lookarounds, flags. With clickable examples and explanations. Everything in your browser.
Git Cheatsheet
Searchable list of the most-used git commands — config, commit, branch, merge, rebase, stash, log, remote, reset. With copyable examples. Everything in your browser.
Markdown Cheatsheet
Quick reference of Markdown syntax: headings, lists, links, images, code, tables, blockquotes, emphasis. Examples with side-by-side preview. Everything in your browser.
.htpasswd Generator
Generate .htpasswd lines for Apache/Nginx basic auth. Supports MD5 (apr1), SHA1 and bcrypt hashes. Paste the result straight into the file. Everything in your browser.
Basic Auth Generator
Generate the HTTP `Authorization: Basic <base64>` header from username and password. Useful to test APIs with basic auth via curl, Postman or fetch. Everything in your browser.
CSS Conic Gradient Generator
Create CSS conic gradients (conic-gradient) with rotated color stops. Great for donut charts, modern backgrounds and color pickers. Everything in your browser.
License Header Generator
Generate license headers (MIT, Apache 2.0, GPL-3.0, BSD-3, MPL-2.0) with your name and year to paste at the top of source files. Everything in your browser.
.editorconfig Generator
Generate a .editorconfig file with indent_style, charset, end_of_line and trim_trailing_whitespace. Standardizes editors across teams. Everything in your browser.
.gitignore Generator
Generate a .gitignore by combining language/IDE templates — Node, Python, Java, Go, Rust, .DS_Store, JetBrains, VSCode etc. Everything in your browser.
.nvmrc / .node-version Generator
Generate .nvmrc, .node-version or .tool-versions files with the desired Node version. Everything in your browser.
Dockerfile Generator
Build a Dockerfile from common templates: Node, Python, Go, Static Nginx, with optional multi-stage, healthcheck and non-root user. Everything in your browser.
docker run Generator
Build a docker run command with image, volumes, ports, env vars, restart policy and additional flags. Everything in your browser.
GitHub Actions Generator
Generate YAML workflows for GitHub Actions: Node CI, static deploy, semver release, lint+test. Customize triggers and steps. Everything in your browser.
tsconfig.json Generator
Generate a custom tsconfig.json: ES target, module, strict, paths, JSX, declaration and more. Validation against invalid options. Everything in your browser.
Nginx Server Block Generator
Generate Nginx server blocks: HTTPS, www redirect, gzip, proxy_pass, static caching, security headers. Paste into /etc/nginx. Everything in your browser.
package.json Generator
Build a minimal package.json: name, version, description, scripts, license, repository, type (module/commonjs). Everything in your browser.
Cron Parser (describe expression)
Paste a cron expression and see in plain text when it will fire (e.g. "every day at 9am" for `0 9 * * *`). Lists the next N runs. Everything in your browser.
CSS Specificity Calculator
Compute the specificity (a, b, c) of a CSS selector — IDs, classes/attributes/pseudo-classes, elements. Useful to understand why your rule is not applying. Everything in your browser.
ASCII Tree Generator
Paste an indented structure (spaces/tabs) and generate an ASCII tree ready for README — ├──, └── etc. Everything in your browser.
Markdown TOC Generator
Generate the table of contents of a Markdown file from headings (#, ##, ###). Includes GitHub-style anchors. Everything in your browser.
CSS Unit Converter
Convert between px, em, rem, %, pt, vh, vw for common design values — configurable 16 px base. Everything in your browser.
HTTP Request Builder
Build an HTTP request (URL, method, headers, body) and generate snippets in cURL, fetch, axios, Python requests and Go net/http. Everything in your browser.
JSONPath Tester
Test JSONPath expressions ($.foo.bar, $..*) against a JSON and see the matches. Essential subset implementation. Everything in your browser.
Regex Visualizer
Paste a regex and see the token tree (literals, classes, groups, quantifiers) in ASCII — helps understand complex expressions. Everything in your browser.
Slack Message Builder (Block Kit)
Build Slack messages with Block Kit (header, section, divider, image, button) and export the JSON ready for chat.postMessage. Everything in your browser.
Discord Embed Builder
Build Discord embeds (title, description, color, fields, footer, thumbnail) and export the JSON ready for webhook. Includes preview. Everything in your browser.
tailwind.config Generator
Generate a minimal tailwind.config.js with content, theme.extend (colors, fontFamily) and plugins. Everything in your browser.
postcss.config Generator
Generate a postcss.config.js with common plugins (autoprefixer, tailwindcss, postcss-preset-env, cssnano). Everything in your browser.
.prettierrc Generator
Generate a .prettierrc.json with tabWidth, printWidth, semi, singleQuote, trailingComma, arrowParens. Everything in your browser.
.eslintrc Generator
Generate a minimal .eslintrc.json with env, extends and common rules (semi, quotes, no-unused-vars). Everything in your browser.
vite.config Generator
Generate a minimal vite.config.js with plugins (react, vue, svelte) and server options (port, proxy). Everything in your browser.
HTTP Cookie Parser
Paste a Set-Cookie header and inspect name, value, Domain, Path, Expires, Max-Age, HttpOnly, Secure and SameSite separately. Browser-only.
Content-Type Parser
Decompose a Content-Type header into mediatype, charset, boundary and other parameters. Useful when debugging APIs and uploads.
Authorization Header Parser
Identify the scheme (Basic, Bearer, Digest) of an Authorization header and extract the payload, decoding Basic from base64.
Data URI Parser
Break a data: URI into mediatype, parameters, base64 flag and payload. Shows decoded byte size of the content.
SRT/VTT Subtitle Inspector
Paste the contents of a .srt or .vtt file and view cue count, total duration, first and last timestamp.
Link Header Parser
Decompose an HTTP Link header (RFC 8288) listing each URI with its parameters (rel, type, title). Useful for paginated APIs and Web Linking.
Cache-Control Parser
Read a Cache-Control header and show each directive (max-age, no-cache, public, immutable, stale-while-revalidate) with explanation.
Range Header Parser
Decompose a Range header (bytes=0-499, bytes=-100, etc.) into individual ranges with start, end and size.
Accept-Language Parser
Sort the languages in an Accept-Language header by descending q-value, showing the effective client preference order.
multipart/form-data Parser
Paste a multipart/form-data body with its boundary and inspect each part (Content-Disposition, filename, Content-Type, size).
README.md Generator
Build a professional README.md filling in name, description, badges, install, usage, license. Markdown preview side-by-side.
CHANGELOG.md Generator
Create a CHANGELOG.md in Keep a Changelog 1.1.0 format from a list of additions, fixes, changes and removals per version.
CODEOWNERS Generator
Build a GitHub CODEOWNERS file from pairs of "glob pattern -> owner". Basic syntax validation.
pre-commit Generator
Assemble a .pre-commit-config.yaml selecting common hooks (black, prettier, eslint, ruff, trailing-whitespace, yaml-check) by language.
Makefile Generator
Generate a basic Makefile with typical targets (install, build, test, lint, clean) and support for .PHONY and simple variables.
Dependabot Generator
Create a .github/dependabot.yml for Dependabot v2 with ecosystems (npm, pip, docker, github-actions), schedule and groups.
Renovate Generator
Build a renovate.json with presets, schedules, packageRules and timezone. Generated in the browser, no sign-up.
PR Template Generator
Create a pull_request_template.md with description, checklist, screenshots and change-type sections.
Issue Template Generator
Generate GitHub issue templates in YAML form syntax for bug reports and feature requests with custom fields.
FUNDING.yml Generator
Create a .github/FUNDING.yml with platforms (github, patreon, ko-fi, buymeacoffee, custom) filled via form.
VSCode settings.json Generator
Build a .vscode/settings.json with common tweaks: tabSize, formatOnSave, ruler, exclude, default formatter per language.
launch.json Generator
Create VSCode debug configurations (.vscode/launch.json) for Node.js, Python, Chrome and Firefox.
jest.config.js Generator
Build a jest.config.js with custom testEnvironment, coveragePathIgnorePatterns, moduleNameMapper and setupFilesAfterEach.
babel.config.json Generator
Generate a babel.config.json with presets (env, react, typescript) and common plugins. Configurable targets.
Husky Generator
Configure Husky hook scripts (pre-commit, commit-msg, pre-push). Outputs the commands to create the files.
PWA manifest.json Generator
Build a manifest.json for a PWA (name, short_name, theme_color, background_color, display, icons) with preview.
.browserslistrc Generator
Build a .browserslistrc from presets (last 2 versions, > 1%, not dead, supports es6-module) and custom queries.
Stylelint Config Generator
Create a .stylelintrc.json with extends (standard, scss, prettier) and common rules. Pre-configured for CSS/SCSS.
package.json Analyzer
Paste a package.json and get a summary: dependencies, devDependencies, peer, scripts and license counts. Detects workspaces.
multipart/form-data Body Builder
Build a multipart/form-data body by adding fields (name, value) and files (filename, content-type) and view the raw output with boundary.
UUID Parser
Decompose a UUID into version (1, 3, 4, 5, 6, 7, 8), variant, and when applicable, timestamp and node. Supports UUIDs with or without dashes.
Snowflake ID Parser
Decompose a snowflake (Twitter, Discord) into timestamp, worker ID, datacenter ID and sequence. Shows the human-readable date.
URN Parser
Decompose a URN (urn:NID:NSS) into namespace identifier (NID) and namespace-specific string (NSS). Supports r-component and q-component (RFC 8141).
URI Template Builder (RFC 6570)
Paste a URI Template and the variable values and generate the expanded URI. Supports level 1-4 (path, query, fragment).
systemd Service Generator
Create a systemd unit file (.service) by filling in Description, ExecStart, User, Restart, WantedBy.
anacron tab Generator
Build an /etc/anacrontab line with period in days, delay, identifier and command. Useful for systems that may be offline.
Fish Completion Generator
Create a fish shell completion file (complete -c ...) for a command, listing subcommands, flags and descriptions.
Bash Completion Generator
Generate a bash completion script (compgen + complete) for a command with subcommands and flags list.
Zsh Completion Generator
Create a _command file for zsh (compdef) with described flags and subcommands for the completion system.
macOS LaunchAgent Generator
Build a LaunchAgent/LaunchDaemon plist (with Label, ProgramArguments, RunAtLoad, StartInterval) for macOS.
supervisord.conf Generator
Create a [program:name] block for Supervisor with command, autostart, autorestart, stdout_logfile and environment.
PM2 ecosystem.config.js Generator
Generate a PM2 ecosystem.config.js with apps (name, script, instances, env, max_memory_restart, watch).
Procfile Generator
Build a Procfile (Heroku, Foreman) with processes (web, worker, release) and their commands. Validated syntax.
Traefik Labels Generator
Generate Traefik v2/v3 labels for a Docker service (Host, EntryPoints, TLS, middlewares). Ready to paste in compose.
Caddyfile Generator
Build a Caddyfile (Caddy v2) with reverse_proxy, file_server, redir, encode and tls automatic. Focused on simple sites.
HAProxy Generator
Build a snippet of haproxy.cfg with frontend, backend and roundrobin/leastconn for a set of servers.
HTTP Link Header Builder
Build HTTP Link header with <URL>; rel="prev|next|canonical|..." pairs.
.env File Diff
Compare two .env files showing keys only in A, only in B, and differing.
Semver Bump
Bump a SemVer version (major/minor/patch/prerelease). Accepts optional "v" prefix.
SPF Record Builder
Build SPF (Sender Policy Framework) DNS TXT record listing allowed senders.
DMARC Record Builder
Build DMARC DNS TXT record with policy, percentage and reporting addresses.
DKIM Record Parser
Parse a DKIM DNS record into readable fields.
CIDR Aggregator
Aggregate adjacent CIDR blocks into smaller ranges.
IPv6 Shortener / Expander
Expand an IPv6 to its full form, or shorten using :: notation.
Cache-Control Header Builder
Build HTTP Cache-Control header with common directives.
Shell Argument Escaper
Quote a string safely for bash/sh, wrapping in single quotes and handling embedded quotes.
grep Command Builder
Build grep commands with common flags (recursive, case-insensitive, extended regex, count, context). Outputs the full one-liner.
jq Filter Builder
Visual builder for common jq filters: extract fields, select arrays, filter by value, map and count. Pastes into terminal.
awk One-liner Builder
Generate awk one-liners for common tasks: print columns, sum column, count lines, filter by regex.
sed Command Builder
Build sed commands for in-place edits: replace text, delete line, insert before/after. Supports regex; GNU/BSD variants.
xargs Command Builder
Build xargs calls to feed stdin as args. Includes -I {}, -n, -P parallel flags. Pairs with find/grep.
zip/unzip Command Builder
Generate zip/unzip commands with common flags: recursive, exclude paths, password, max compression, list, extract to folder.
scp Command Builder
Build scp (secure copy) commands for SSH transfer: upload/download, recursive, custom port, identity file, preserve perms.
systemctl Command Builder
Generate systemctl commands to manage services: start, stop, restart, enable, disable, status, daemon-reload.
vCard (.vcf) Generator
Generate vCard 4.0 (.vcf) files with name, phone, email, org, address, URL. iOS/Android/Outlook compatible.
vCard (.vcf) Parser
Parse pasted vCard (.vcf) text and extract: name, phones, emails, addresses, org. Supports v3.0 and v4.0.
iCalendar (.ics) Event Generator
Generate .ics (iCalendar) for an event with title, description, start/end, location. Google Calendar/Outlook/Apple compatible.
iCalendar (.ics) Parser
Parse pasted .ics text and extract events (title, dates, description, location). For debugging Google/Outlook exports.
SRT Subtitle Generator
Build SRT (SubRip) files from a list of blocks: start, end, text. Auto-numbered. Compatible with VLC and YouTube.
SRT Subtitle Parser
Parse pasted .srt files into JSON with {index, start, end, text} objects. For subtitle automation.
Cookie Flags Analyzer
Inspect Set-Cookie header and flag missing Secure, HttpOnly, SameSite — with suggested fixes.
Linux Command TL;DR
"tl;dr" summary of popular Linux commands: purpose, basic syntax, 3-5 practical examples. 30+ essentials.
NPM Package Specifier Parser
Parse an NPM package spec (lodash, @scope/[email protected], github:user/repo) into name, scope, version and type.
HAR Viewer
Read pasted HAR (HTTP Archive) and list requests with method, status, URL and time.
Fake API Data Generator
Generate a JSON array of N fake records (id, name, email, createdAt) for API mocks.
Mock Response Builder
Build a mock API response (status, headers, body, simulated delay) JSON.
Dockerfile Lint (basic)
Basic Dockerfile checks (FROM present, root user, ADD vs COPY, latest tag).
Bash Linter (common warnings)
Detect fragile patterns in bash scripts (unquoted vars, [ vs [[, missing set -e).
JSONL ↔ JSON Converter
Convert between JSONL (one object per line) and a JSON array.
JSONL Formatter
Format every JSONL line by re-stringifying with optional sorted keys.
HTTP Response Headers Analyzer
Paste raw HTTP response headers and see security/cache/performance warnings.
HTML Attributes Comparator
Compare two HTML snippets showing attribute differences (A-only, B-only, value-changed).
Code Comments Extractor
Extract line (//, #) and block (/* */) comments from pasted code.
Folder Tree Viewer
From a path list (one per line), render an ASCII folder tree with correct indentation.
nginx.conf Formatter
Format nginx.conf snippet, indenting { } blocks and splitting directives on ;.
Apache .htaccess / httpd.conf Formatter
Format Apache config indenting <Tag>...</Tag> blocks (cosmetic only).
YAML Linter (common warnings)
Heuristic YAML warnings: tabs, inconsistent indentation, top-level duplicates.
JSON Schema Linter (warnings)
Heuristic JSON Schema warnings: $schema present, type defined, required vs properties, additionalProperties explicit.
Mongoose Schema Generator
Generate Mongoose Schema code from "field: type[required]" definitions.
Prisma Schema Generator
Generate Prisma model with basic types and optional "?".
Zod Schema Generator
Generate a TypeScript Zod schema from field definitions (string, number, boolean, date, email, url, optional).
TypeBox Schema Generator
Generate @sinclair/typebox schema (Type.Object, Type.String...) with optional support.
curl --data-urlencode Builder
Build curl POST with multiple --data-urlencode pairs preserving special chars.
Cargo.toml Analyzer
Parse Cargo.toml (Rust) and extract package, version, edition, deps and dev-deps.
pyproject.toml Analyzer
Parse pyproject.toml (Python) extracting name, version, build-system and dependencies.
OpenAPI Spec Summary
Read pasted OpenAPI 3 JSON and summarize info, path count, operations per method, schemas.
package.json deps Comparator
Compare two package.json files showing added/removed/changed dependencies.
Favicon Rules Inspector
Inspect <link> favicon rules and show declared sizes/types/rels.
CSS Variables Extractor
Extract all CSS custom properties (--name: value) from a stylesheet.
Tailwind Classes Extractor
Extract unique Tailwind utility classes from pasted HTML, sorted.
W3C Design Tokens Analyzer
Read W3C design-tokens JSON and list names, types and values with depth.
CSP Recommendations Analyzer
Evaluate a Content-Security-Policy and flag missing/risky directives.
Multi-Hash Comparator
Compare two hashes case-insensitively, ignoring whitespace and prefixes.
Suspicious Deps Detector
From a package.json, flag packages matching known typosquat patterns.
Set-Cookie Header Analyzer
Analyze a Set-Cookie header listing present flags and warnings.
GraphQL Query Formatter
Format GraphQL query with 2-space indentation and consistent braces.
Diff Stats Analyzer
Read pasted git diff and show stats: files changed, lines added (+) / removed (−).
JSDoc → TypeScript types
Convert JSDoc tags (@param, @returns) into inline TypeScript types.
Protobuf Text Format Converter
Convert JSON ↔ Protobuf text format (key: value pairs).
Folder Tree → Mermaid
From file paths, generate Mermaid graph diagram of folder tree.
package-lock.json Analyzer
Parse pasted package-lock.json and list top-level packages, total deps and duplicate versions.
JS/TS Imports Extractor
Extract imported modules from JS/TS file (ESM + CommonJS), separating npm packages from relative.
curl --trace Analyzer
Read curl --trace output and split lines by type (header out/in, data out/in).
Yarn Command Builder
Build common yarn commands (add, remove, install, run, upgrade) with flags.
pnpm Command Builder
Build common pnpm commands with workspace filters and flags.
Detailed JWT Payload Analyzer
Decode JWT and analyze payload: registered claims, remaining lifetime, custom claims.
package.json Scripts Analyzer
List package.json scripts, group by convention (test:*, lint:*, build:*) and detect cross-deps.
YAML Snippets Comparator
Compare two YAML snippets line-by-line (basic indentation normalization).
Cross YAML ↔ TOML Converter
Convert simple YAML ↔ TOML (key-value, arrays) for Hugo/Jekyll style configs.
TODO Comments Extractor
Extract all TODO/TBD/REVIEW comments from pasted source code with counts by type.
FIXME / HACK Comments Extractor
Extract FIXME, HACK, BUG, NOTE comments from code (urgent items).
curl multipart with files Builder
Build curl POST multipart/form-data with multiple file fields (@path) and text fields.
Advanced CSP Analyzer
Analyze CSP listing directives, values, unsafe-* usage and improvement suggestions.
W3C Trace Context Builder
Generate W3C Trace Context: 32-hex trace-id and 16-hex parent-id, ready for traceparent header.
X-Request-ID Builder
Generate X-Request-ID (Heroku UUID v4 or Cloudflare hex) for simple tracing in logs.
Email (.eml) Parser
Parse .eml files (MIME) and extract headers: From, To, Subject, Date, Content-Type. Shows plaintext body.
Mbox Parser
Parse Mbox archive (multiple messages separated by "From " at line start) and extract Subject/From per message.
HAR (HTTP Archive) Parser
Parse HAR (JSON used by DevTools) and show summary: request count, total bytes, total time, top 5 slowest.
GraphQL Introspection Parser
Parse a GraphQL introspection result (__schema) and list types, queries, mutations and enums.
Basic AsciiDoc Parser
Convert simple AsciiDoc (= heading, * list, _ italic, * bold) to basic HTML. Doesn't cover full spec — common elements only.
Basic reStructuredText Parser
Convert simple reStructuredText (===, ---, *italic*, **bold**, - lists) to HTML. Common Python/Sphinx doc elements.
TOML Formatter
Format/indent a TOML file, normalizing whitespace around = and sorting [section] alphabetically.
Protobuf Formatter
Format .proto files: indents message bodies, aligns types and names, blank-line separates sections. Improves readability.
TOML Minifier
Strip comments, extra spaces and blank lines from TOML, keeping only essentials. Reduces size.
YAML Minifier
Remove comments (# ...) and blank lines from YAML, preserving meaningful indentation. Shrinks config size.
DNA Reverse Complement
Compute reverse complement of a DNA strand (A↔T, C↔G, then reverse). Fundamental bioinformatics operation.
Periodic Table Lookup
Look up chemical element properties by symbol (H, He, C...): atomic number, mass, series, melting point. 50 common elements.
HTML Form Generator from YAML
Read a simple YAML form definition and generate matching HTML. YAML version of the JSON form generator.
HTML Pivot Table Generator
Take CSV and generate HTML pivot table with sum per category. For reports, static dashboards and quick analysis.
CSS @page Print Generator
Generate the CSS @page block for printing: page size, margins, orientation, before/after page break. Basic paged-media.
URI Component Extractor
Decompose a URL into components: protocol, host, port, path, query (decoded), hash. For debugging and manual parsing.
URI List Parser
Read a list of URLs (one per line or comma-separated) and extract summary: unique domains, schemes, common paths. Sorted by frequency.
CSV Data Type Detector
Read a CSV (with header) and infer each column type: integer, float, boolean, date, string. Uses first-100-row sample.
Prometheus Metrics Parser
Parse Prometheus /metrics output and extract metric names, type (HELP, TYPE), and series count. For exporter audits.
InfluxDB Line Protocol Parser
Parse InfluxDB Line Protocol (measurement,tag=val field=val timestamp) and extract measurement, tags, fields, timestamp.
Graphite Metric Parser
Parse Graphite-style lines (dotted.path value timestamp) and split hierarchical path components for tree analysis.
StatsD Metric Parser
Parse StatsD-style lines (key:value|type) and detect type: counter (c), gauge (g), timer (ms), histogram (h), set (s).
Nginx Log Parser (combined)
Parse a combined-format Nginx log line and extract IP, user, date, request, status, bytes, referer, user-agent.
Apache Access Log Parser (common)
Parse Apache common-format (CLF) lines and extract IP, ident, user, date, request, status, bytes. NCSA standard.
Prometheus Rules Formatter
Format and validate Prometheus rule YAML files (alerting/recording rules) with canonical indentation.
Prometheus Rule Generator
Build a Prometheus alerting/recording rule from fields: name, expression, duration, labels, annotations. Valid YAML.
Grafana Panel JSON Generator
Generate basic Grafana panel JSON (gauge, time series, stat) — ready to paste via "Import JSON". Accepts PromQL.
Kubernetes Deployment YAML Generator
Generate Kubernetes Deployment YAML from fields: name, image, replicas, port, env vars. Apps/v1 default.
Kubernetes Service YAML Generator
Generate Kubernetes Service YAML (ClusterIP, NodePort, LoadBalancer) from name, selector, ports. kubectl-apply-ready.
Terraform AWS S3 Generator
Generate Terraform block for an S3 bucket with versioning, encryption, tags. terraform-apply-ready.
strftime Format Parser
Parse a strftime format string (%Y-%m-%d %H:%M:%S) and explain each directive: year, month, day, hour, etc.
AWS ARN Parser
Decompose an AWS ARN (arn:partition:service:region:account-id:resource) into named parts. For IAM policy debugging.
Azure Resource ID Parser
Decompose Azure Resource ID (/subscriptions/.../resourceGroups/.../providers/...) into subscription, resource group, namespace, type.
GCP Resource Name Parser
Decompose GCP Resource Names (projects/X/locations/Y/services/Z) into hierarchical parts. For GCP multi-tenancy.
Docker Image Tag Parser
Decompose a Docker image reference (registry/namespace/name:tag@digest) into registry, namespace, repo, tag, optional digest.
JWT Bearer Header Parser
Accept a full "Authorization: Bearer eyJ..." header and decode the JWT (header + payload). No signature verification.
Content-Disposition Parser
Parse Content-Disposition header (attachment; filename="x.pdf") and extract disposition, filename, params. Supports filename* (RFC 5987).
WWW-Authenticate Parser
Parse WWW-Authenticate header (Basic, Bearer, Digest, OAuth) into scheme + params. For auth-challenge debugging.
RSS Feed Parser
Parse a pasted RSS XML feed and extract channel: title, link, description and first 10 items (title + link + pubDate).
Atom Feed Parser
Parse a pasted Atom XML feed and extract title, subtitle, updated, author and first 10 entries.
bcrypt Hash Parser
Decompose a bcrypt hash ($2a$10$...) into algorithm, cost (rounds), salt+hash. Approximate GPU cracking time.
Argon2 Hash Parser
Decompose Argon2 hash ($argon2id$v=19$m=65536,t=3,p=4$salt$hash) into variant, version, params (memory, iterations, parallelism), salt and hash.
PBKDF2 Hash Parser
Decompose PBKDF2 hash in Django/Werkzeug (pbkdf2_sha256$iter$salt$hash) or MCF ($pbkdf2-sha256$rounds=$salt$hash) format.
AWS ARN Builder (interactive)
Build an AWS ARN interactively: choose service, region, account, resource format. Includes examples for 10 common services.
jq Color Formatter
Apply jq-style colored formatting to JSON output: blue keys, green strings, yellow numbers. HTML preview.
AWS Cognito JWT Template Generator
Generate a Cognito JWT payload template (claims: sub, email, cognito:groups, iss, aud). For auth mockups.
Azure App Configuration Generator
Generate Azure App Configuration entries: key, value, label. JSON output ready for Azure CLI/portal import.
GCP Service Account JSON Generator
Generate a GCP Service Account JSON template with type, project_id, private_key (placeholder), client_email, auth_uri.
docker-compose Postgres Generator
Generate a docker-compose.yml for PostgreSQL: version, env vars, named volume, port. docker-compose-up-ready.
docker-compose Redis Generator
Generate a docker-compose.yml for Redis: version, optional auth, named volume, healthcheck, persistence config.
Multi-stage Dockerfile Generator
Create a multi-stage Dockerfile for Node.js, Go, or Python: builder + lean final stage, non-root user, healthcheck.
shadcn/ui Component List
Filtered list of shadcn/ui components (button, card, dialog, table...) with import and CLI install. For new project setup.
HTMX Snippet Generator
Generate common HTMX snippets: GET, POST, swap, polling, indicator. Configure URL, target, swap mode, trigger event.
Alpine.js Snippet Generator
Generate Alpine.js snippets: x-data, x-show, x-if, x-for, x-on, x-model. 6 most common patterns for light reactivity.
Svelte Component Generator
Generate a Svelte 4 or 5 (runes) component with props, state, click event, scoped style. SvelteKit-paste-ready.
Vue 3 Component Generator
Generate a Vue 3 component using Composition API (script setup), typed props, reactive state (ref), scoped style. TS or JS.
React Functional Component Generator
Generate a React functional component with TypeScript (FC + Props interface), useState, useCallback, CSS module. Paste-ready.
Angular Component Generator
Generate an Angular standalone component with TypeScript: @Component, signal state, OnInit, click handler. Paste-ready.
curl Command Parser
Parse a curl command (multiline supported) and extract URL, method, headers, body, flags. For converting API calls to code.
Postman Collection Parser
Parse a Postman collection JSON (v2.1) and list endpoints with method, URL and description. Quick summary without importing.
HAR Statistics Parser
Parse a HAR file and compute: total requests, bytes, top 5 slowest, top 5 largest, status code distribution.
CSV → Pivot Sum Parser
Take CSV (cat,subcat,value), group by (cat,subcat) and sum values. Display pivot table with row/col totals.
YAML → Flat Keys (dot-path)
Parse simple YAML (1-2 levels) and produce flat key list in dot-path format (a.b.c = value). For diffs and audit.
JSON → Flat Keys
Parse nested JSON and produce flat key list in dot-path format (a.b.c.0 = value). For comparative schema analysis.
CLI Args Parser (argv-style)
Parse a "cmd --flag value -x" command line and extract positional args, boolean flags (-x) and value flags (--flag value).
Makefile Formatter
Normalize a Makefile: ensure TABs in commands (not spaces), collapse long lines with , dedup spaces in targets.
justfile Formatter
Normalize a justfile (just runner): indentation, recipe breaks, variable formatting, aligned comments.
justfile Generator
Generate a justfile (just task runner) from a list of recipes: name, command, description. Ready for "just <task>".
Makefile Tasks Generator
Generate a Makefile from list of targets: target, command, dependencies. Auto-includes .PHONY.
Rake Task Generator (Ruby)
Generate Ruby code for a rake task with namespace, description and dependencies. Ready for Rakefile.
GraphQL Resolver Generator
Generate Apollo GraphQL resolver code with TypeScript: parent, args, context, info. For Query and Mutation. tsx-ready.
TypeORM Entity Generator
Generate TypeORM Entity class (TS): @Entity, @Column, @PrimaryGeneratedColumn, relation decorators. For Postgres/MySQL.
SQLModel Generator (Python)
Generate Python SQLModel class (Pydantic + SQLAlchemy) from fields. Includes Field() with primary_key, default, Optional for nullable.
Pydantic Model Generator
Generate a Pydantic v2 (BaseModel) class in Python with validation. Accepts Field(), Optional, List/Dict.
Zod Schema from Sample JSON
Read a sample JSON and generate equivalent Zod schema. Detects basic types (string, number, boolean, array, nested object).
TypeORM Migration Generator
Generate basic TypeORM migration with up() and down() — SQL commands to create/alter table. typeorm migration:run-ready.
Knex Migration Generator
Generate Knex (Node.js) migration with schema builder: createTable, alterTable, dropTable. Includes common columns.
Sequelize Model Generator
Generate Sequelize (Node.js) model with DataTypes, associations and validations. sequelize.define() with options.
Prometheus Alertmanager Config Parser
Parse alertmanager.yml and extract routes, receivers, and inhibit rules. For auditing alert configs.
Helm values.yaml Parser
Parse Helm chart values.yaml and produce flat key list (a.b.c = value). For auditing overrides.
S3 URI Parser
Decompose an S3 URI (s3://bucket/key/path) into bucket, prefix, file. Supports https URLs too.
CloudFront Headers Parser
Extract custom CloudFront headers (X-Amz-Cf-Id, X-Cache, Via) from HTTP response. For CDN cache debugging.
Multi Set-Cookie Parser
Parse multiple Set-Cookie headers (single string with several cookies) into name/value pairs with flags.
Google SERP HTML Parser
Parse pasted HTML of Google SERP and extract titles, URLs and snippets of first 10 organic results. For SEO audit.
Redis INFO Output Parser
Parse Redis "INFO" command output into sections (server, clients, memory, persistence, stats). For diagnostics.
MongoDB URI Parser
Decompose MongoDB URI (mongodb://user:pass@host:port/db?opts) into protocol, user, host, port, db, options.
Postgres Connection String Parser
Decompose Postgres URI (postgres://user:pass@host:port/db?ssl=...) into parts. Supports both URI and key=value formats.
MySQL Connection String Parser
Decompose MySQL URI (mysql://user:pass@host:port/db) into parts. Shows charset and timezone options.
RabbitMQ AMQP URI Parser
Decompose RabbitMQ AMQP URI (amqp://user:pass@host:port/vhost) into components including virtual host and connection params.
YAML Formatter
Format YAML re-indenting to 2 spaces, aligning list hyphens, optionally sorting keys alphabetically.
Canonical TOML Formatter
Format TOML in canonical form: ordered tables, alphabetical keys, spaces around =, aligned comments.
redis.conf Generator
Generate a basic redis.conf with port, password, persistence (AOF/RDB), max memory, eviction. Min-prod-ready.
supervisord.conf Generator
Generate Supervisord program config: name, command, autostart, autorestart, log paths, environment vars.
systemd Timer Unit Generator
Generate systemd .timer + .service units for scheduled tasks (cron alternative). Configurable: OnCalendar, OnUnit, persistence.
macOS LaunchAgent .plist Generator
Generate macOS LaunchAgent .plist: Label, Program, schedule (StartInterval or Calendar). For Mac task automation.
cron → systemd OnCalendar Converter
Convert cron expression to systemd OnCalendar format. E.g., "0 2 * * *" → "*-*-* 02:00:00".
systemd Service Template Generator
Generate systemd .service file with restart=always, dependencies, env vars, capabilities, and workdir.
Prettier Config Generator
Generate a default .prettierrc.json file.
ESLint Airbnb Config Generator
Generate .eslintrc.json with Airbnb preset.
ESLint Standard Config Generator
Generate .eslintrc.json with Standard preset.
tsconfig Strict Generator
Generate a strict tsconfig.json.
tsconfig Base Generator
Generate a basic tsconfig.json for JS-to-TS migration.
Webpack Config Generator
Generate a minimal webpack.config.js.
Rollup Config Generator
Generate a rollup.config.js.
Vite Config Generator
Generate a vite.config.js.
esbuild Config Generator
Generate an esbuild.config.js.
Snowpack Config Generator
Generate a snowpack.config.js.
Parcel Config Generator
Generate a .parcelrc for Parcel v2.
Storybook main.js Generator
Generate a Storybook 7+ main.js.
PostCSS Config Generator
Generate a postcss.config.js.
Tailwind Config CLI Generator
Generate a tailwind.config.js for Tailwind CLI.
Knex Config Generator
Generate a knexfile.js.
Prisma Init Generator
Generate an initial schema.prisma.
Mongoose Init Generator
Generate Mongoose connection + sample schema.
Sequelize Init Generator
Generate Sequelize config/config.js.
TypeORM Init Generator
Generate a TypeORM data-source.ts.
Drizzle Init Generator
Generate a drizzle.config.ts.
Knex Migration Generator
Generate a Knex migration template.
vercel.json Generator
Generate a vercel.json.
netlify.toml Generator
Generate a netlify.toml.
Cloudflare wrangler.toml Generator
Generate a Cloudflare wrangler.toml.
railway.toml Generator
Generate a railway.toml.
K8s ConfigMap YAML
Gera Kubernetes ConfigMap a partir de pares chave=valor.
K8s Secret YAML (base64)
Gera Kubernetes Secret com valores em base64.
K8s Ingress YAML
Gera Kubernetes Ingress nginx para um host.
K8s CronJob YAML
Gera Kubernetes CronJob com schedule.
K8s HPA YAML
Gera HorizontalPodAutoscaler com CPU target.
K8s NetworkPolicy
Gera NetworkPolicy deny-by-default ou allow ingress de uma label.
docker-compose PostgreSQL
Gera serviço docker-compose para PostgreSQL.
docker-compose Redis
Gera serviço docker-compose para Redis.
docker-compose MongoDB
Gera serviço docker-compose para MongoDB.
docker-compose MySQL
Gera serviço docker-compose para MySQL.
docker-compose Elasticsearch
Gera serviço docker-compose para Elasticsearch single-node.
docker-compose RabbitMQ
Gera serviço docker-compose RabbitMQ com management UI.
docker-compose Nginx+Node
Gera docker-compose com Nginx reverse-proxy para Node.
Métrica Prometheus
Gera linhas de exposição de métrica Prometheus (HELP + TYPE + valor).
OpenTelemetry Span JSON
Gera span OpenTelemetry no formato JSON.
JWT Decoder Verbose
Decodifica JWT (sem verificar assinatura) e explica cada claim (iss/sub/aud/exp/nbf/iat/jti).
OAuth2 Authorization URL Builder
Monta URL de autorização OAuth 2.0 com response_type, client_id, redirect_uri, scope, state.
OIDC Discovery URL Builder
Monta URL de descoberta OpenID Connect (.well-known/openid-configuration) a partir do issuer.
AWS SigV4 Canonical Preview
Monta canonical request preview (Signature v4) — útil para depurar 403 SignatureDoesNotMatch.
gRPC Reserved Fields Builder
Gera cláusula "reserved" para .proto a partir de uma lista de números de campos.
OIDC Standard Claim Lookup
Mostra significado de claims padrão do OpenID Connect (sub, email, given_name, etc.).
HTTP Status Code Lookup
Consulta significado de códigos HTTP de 1xx a 5xx.
MIME Type por Extensão
Retorna o MIME type oficial para uma extensão de arquivo.
Extensão por MIME Type
Retorna a extensão de arquivo correspondente a um MIME type.
Accept-Language Ordenar por q
Faz parse do header Accept-Language e ordena por qualidade (q).
Parse Accept-Encoding
Faz parse do header Accept-Encoding e identifica codings suportados (gzip, br, deflate, etc.).
Parse Accept-Charset
Faz parse do header Accept-Charset (em desuso, substituído por UTF-8 padrão).
Content-Negotiation Match
Casa Accept do cliente com tipos oferecidos pelo servidor (escolhe o melhor q).
ETag Weak vs Strong
Classifica um ETag como weak (W/"...") ou strong. Weak é igualdade semântica, strong é byte-a-byte.
Cache-Control max-age Explicado
Converte max-age em segundos para tempo legível (horas, dias).
Parse Retry-After
Faz parse do header Retry-After (segundos ou HTTP-date) e retorna tempo de espera.
Content-Disposition Filename
Extrai o filename do header Content-Disposition (suporta filename* RFC 5987).
/etc/hosts a partir de CSV
Monta entradas /etc/hosts a partir de CSV (ip,hostname por linha).
ARIA Role Lookup
Consulta propósito de role ARIA (de 80+ roles WAI-ARIA 1.2).
Skip Link Snippet
Gera snippet HTML+CSS de skip link para leitores de tela (WCAG 2.4.1).
Focus-Visible CSS Snippet
Gera snippet CSS focus-visible com cor de outline customizada (WCAG 2.4.7).
prefers-reduced-motion CSS
Gera snippet CSS @media (prefers-reduced-motion: reduce) para desativar animações.
Template Contato DPO
Gera bloco padrão de contato do DPO/Encarregado para política de privacidade.
Formato Registro de Consentimento
Gera JSON com campos obrigatórios para registro de consentimento LGPD/GDPR.
Cookie Banner Template
Gera HTML básico de banner de consentimento (estilo OneTrust simplificado).
CCPA Opt-Out URL
Gera URL/link de opt-out CCPA (Do Not Sell My Personal Information).
First N Primes Generator
List the first N prime numbers using the Sieve of Eratosthenes. Useful for number-theory exercises, educational cryptography demos and algorithm testing. Runs in your browser.
Fibonacci Generator (first N)
Generate the first N Fibonacci numbers using BigInt for overflow-free output. Useful for didactics, algorithm testing and series analysis.
Perfect Number Generator
List perfect numbers (where the sum of proper divisors equals the number itself) below a ceiling. Examples: 6, 28, 496, 8128.
Arithmetic Progression Generator
Generate N terms of an arithmetic progression given first term a₁ and common difference r. Shows sum and general term formula.
Geometric Progression Generator
Generate N terms of a geometric progression given first term a₁ and ratio q. Shows finite sum and general term.
Divisors Generator
List all positive divisors of N. Shows total count and whether N is prime (only 2 divisors) or perfect.
Prime Factorization Generator
Decompose N into prime factors with exponents (e.g., 360 = 2³·3²·5). Useful for LCM, GCD and number theory.
τ (Tau) N decimals Generator
Show τ = 2π (6.2831853...) up to 1000 decimal places. Includes copy-to-clipboard.
e (Euler) N decimals Generator
Euler constant e = 2.71828... up to 1000 decimals. Useful for calculus, compound interest and analysis.
φ (Golden Ratio) N decimals Generator
Golden ratio φ = (1+√5)/2 = 1.61803... up to 1000 decimals. Famous in design, art and botany.
√2 N decimals Generator
Square root of 2 = 1.41421... up to 1000 decimals. Useful for geometry, ISO A0-A4 paper sizes and irrational study.
CSS Minifier
Minify CSS by removing comments, extra whitespace and line breaks. Reduces file size without changing behavior.
JS Minifier (basic)
Minify JavaScript by stripping line/block comments and extra whitespace. Works for simple code without full AST parsing.
HTML Minifier
Minify HTML by removing comments and collapsing whitespace between tags while preserving <pre>, <code> and <textarea> content.
SVG Minifier (basic)
Optimize SVG by stripping comments, editor metadata and superfluous whitespace. Reduces weight for web use.
CSS Spinner Generator
Generate ready-to-paste CSS for a customizable circular loading spinner: size, color, thickness and rotation speed.
Skeleton Loader Generator
CSS for a skeleton loader (shimmer animation) used to indicate content loading before render.
Tailwind Arbitrary Value Builder
Build Tailwind classes with arbitrary values: [color], [size], [grid-cols] etc. Useful for breaking out of the default design system.
Tailwind Class Sorter
Sort Tailwind classes following the official convention: layout → flex/grid → spacing → sizing → typography → background → border → effects.
PWA Favicon SVG Generator
Generate a simple inline SVG favicon from letter(s) or emoji and background color. Ready to paste into <head>.
PWA manifest.json Generator
Build a PWA manifest.json file (name, short_name, start_url, display, theme_color, icons). Drop into your root.
service-worker.js Generator
Generate a basic service worker with cache-first or network-first strategy and a precache asset list.
Gray Code Table Generator
List all 2^N Gray codes for N bits (1 to 8). Shows binary side-by-side and highlights the 1-bit transition.
Hamming Code (7,4) Generator
Encode 4 data bits into 7 Hamming bits with parity, capable of correcting 1 wrong bit. Also demonstrates error detection.
Parity Bit Calculator
Compute even and odd parity bit of a binary sequence. Foundation of basic transmission and checksum schemes.
Network Mask Binary Visualizer
Show the network mask in binary, dotted decimal and CIDR for any prefix /1 to /32. Useful for networking study.
Random Hex Color Generator
Roll random hexadecimal colors. Shows HEX, RGB, HSL and a large swatch. Button to generate a new color.
Pastel Color Generator
Roll pastel colors (high lightness, low saturation). Ideal for backgrounds, soft illustrations and minimalist UI.
Vibrant Color Generator
Roll vibrant colors (high saturation, medium lightness). Great for CTAs, highlights and bold branding.
Material Design Palette
Show the official Material Design 2014 palette (red, pink, purple, blue, etc) with 50-900 shades ready to copy.
Bootstrap 5 Palette
Official Bootstrap 5 palette (primary, secondary, success, danger, warning, info, light, dark) with 100-900 variations.
Tailwind v3 Palette
Default Tailwind v3 palette (slate, gray, red, orange, amber, yellow, lime, green, emerald, teal, cyan, sky, blue, indigo, violet, purple, fuchsia, pink, rose) with 50-950 shades.
CSS Color Variables Generator
Turn a list of named colors (primary, accent, bg, fg) into CSS custom properties ready for :root.
CSS Dark/Light Theme
Generate a CSS block with default light theme and dark theme via prefers-color-scheme. Supports manual override with [data-theme=dark].
VS Code Snippet Generator
Build a JSON snippet ready to paste into VS Code *.code-snippets files, with prefix, multi-line body and tabstops $1, $2.
VS Code Keybinding Generator
Generate entries for VS Code keybindings.json with key, command and when-context. Custom shortcut in seconds.
VS Code tasks.json Generator
Build a VS Code tasks.json with label, type, command, group and problemMatcher. Includes configurable default shell.
Sublime Text Snippet Generator
Create a .sublime-snippet XML file with trigger, scope and content. Drop into Packages/User/ in Sublime.
Basic .vimrc Generator
Build a starter .vimrc with colors, line numbers, indentation, search and common shortcuts. A great starting point for newcomers.
tmux.conf Generator
Create a custom tmux.conf: prefix key, status bar, mouse, splits and pane navigation shortcuts.
Minimal .zshrc Generator
Build a lean .zshrc without Oh My Zsh: history, completion, simple prompt with git branch and PATH.
Bash PS1 Generator
Compose PS1 with ANSI colors, user, host, pwd, git branch and last exit code. Live prompt preview.
Bash/Zsh Aliases Generator
Predefined list of useful aliases (ll, la, gs, gd, gco, mkcd, ip) ready to paste into .bashrc or .zshrc.
~/.ssh/config Generator
Build Host entries for the SSH config file: HostName, User, Port, IdentityFile, ForwardAgent, ProxyJump. Ideal for managing multiple servers.
Git Aliases Generator
Useful git aliases (st, co, br, lg, undo, save, wip, amend, hist) ready to paste into .gitconfig.
.gitattributes Generator
Generate .gitattributes to normalize line endings, mark binaries, configure diff and override GitHub linguist language stats.
Git Commit Template Generator
Commit message template in Conventional Commits style (feat/fix/docs/...), with scope, breaking change and issue reference.
.git-blame-ignore-revs Generator
List of commit hashes for Git to ignore in blame (mass formatters: prettier, black, eslint --fix). Useful for large refactors.
.mailmap (Git) Generator
Map inconsistent names and emails to a single author in Git, improving stats and shortlog. Official format.
.htpasswd bcrypt Generator
Build a .htpasswd line with bcrypt hash ($2y$ prefix) — Apache-recommended. Runs entirely in your browser via JS implementation.
.htpasswd MD5 Apache Generator
Build a .htpasswd line with APR1-MD5 ($apr1$). Older than bcrypt but widely supported in Apache.
.htpasswd SHA-1 Generator
Build a .htpasswd line with SHA-1 ({SHA} prefix). Insecure on its own — legacy use only.
NGINX server block Generator
Build an NGINX server block: server_name, listen, root, index, location / try_files, gzip and logs. Starter config ready.
NGINX Reverse Proxy Generator
Build an NGINX reverse proxy with backend upstream, default proxy_set_header (Host, X-Real-IP, X-Forwarded-*) and WebSocket support.
NGINX Rate Limit Generator
Configure limit_req_zone and limit_req in NGINX to rate limit per IP. Includes configurable burst and nodelay.
Apache VirtualHost Generator
Create an Apache <VirtualHost *:80> with ServerName, DocumentRoot, ErrorLog, CustomLog and default Directory.
HAProxy Frontend/Backend Generator
Create matching frontend/backend in HAProxy with bind, mode http, balance roundrobin and servers. Minimal working config.
Caddyfile Generator
Generate Caddyfile with automatic HTTPS (Let's Encrypt), reverse_proxy or file_server. Modern simple Caddy 2 syntax.
Traefik Dynamic YAML Generator
Create Traefik dynamic configuration in YAML: routers, services, middlewares (basic-auth, redirect, rate-limit).
Fail2ban Filter Generator
Build a Fail2ban filter with failregex to detect intrusion attempts in custom logs (failed login, 401, 403).
Supervisord Program Generator
Create a [program:name] section for supervisord with command, autostart, autorestart, stdout_logfile and environment.
systemd Service (Advanced)
Create an advanced systemd unit file with Restart, RestartSec, MemoryLimit, CPUQuota, ProtectSystem, ProtectHome and User for hardening.
Schema.org HowTo Builder
Generate HowTo-type JSON-LD from a title and list of steps. Helps tutorial SEO and Google rich snippet eligibility.
JSON-LD Event Builder
Generate Event-type JSON-LD from name, date, location and URL. Essential for events appearing in Google search results.
JSON-LD Recipe Builder
Generate Recipe-type JSON-LD with name, ingredients and instructions. Recipes with this markup appear with photo, time and rating in Google search.
UUID v6 Generator
Generate UUID version 6 (timestamp-ordered, 2022 draft). Reorders v1 bits so UUIDs sort lexicographically by creation time.
UUID v7 Generator
Generate UUID version 7 (Unix ms timestamp + random, RFC 9562). Ideal for DB primary keys — sorts by time without revealing MAC address.
Makefile Target Builder
Generates a Makefile target with prerequisites, shell commands and .PHONY from the given name — ready to paste.
CMakeLists.txt Snippet
Generates a minimal CMakeLists.txt with cmake_minimum_required, project, add_executable and C++17 default.
Multistage Dockerfile Builder
Generates a multistage Dockerfile (builder + runtime) for Node.js apps — copies node_modules only from the builder.
Distroless Dockerfile Template
Generates a Dockerfile using Google's distroless image as runtime — reduces attack surface.
Podman Containerfile Generator
Creates a Containerfile compatible with Podman/Buildah based on the given image — Dockerfile-equivalent syntax.
Helm Chart Skeleton
Generates a Helm Chart.yaml with appVersion, version and description — base for a new Kubernetes chart.
Skaffold YAML Template
Generates a skaffold.yaml with Docker build, kubectl deploy and port-forward — inner loop for Kubernetes.
Tilt Tiltfile Snippet
Generates a basic Tiltfile (Starlark) with docker_build, k8s_yaml and port-forward for Kubernetes dev.
Buildkite pipeline.yaml Template
Generates a Buildkite pipeline.yaml with install, test, build and conditional deploy steps.
CircleCI config.yml Template
Generates a .circleci/config.yml v2.1 with a build/test workflow using the node orb and dependency cache.
bitbucket-pipelines.yml Template
Generates a bitbucket-pipelines.yml with a default pipeline (install/test) and main branch (build/deploy).
Declarative Jenkinsfile
Generates a declarative Jenkinsfile with agent, stages (Install, Test, Build) and post (always/success).
azure-pipelines.yml Template
Generates an azure-pipelines.yml with main trigger, ubuntu-latest pool and NodeTool/npm install/test/build tasks.
.drone.yml Template
Generates a .drone.yml v1 with kind pipeline and install/test/build steps on a Node Docker image.
.woodpecker.yml Template
Generates a .woodpecker.yml with install, test and build steps — Drone-like syntax.
mkdocs.yml Template
Generates a basic mkdocs.yml with site_name, material theme and nav (Home/Guide/API).
Sphinx conf.py Template
Generates a Sphinx conf.py with project, extensions (autodoc/napoleon) and html_theme sphinx_rtd_theme.
Jekyll _config.yml Template
Generates a Jekyll _config.yml with title, url, minima theme and jekyll-feed/sitemap plugins.
Hugo config.toml Template
Generates a Hugo config.toml with baseURL, title, ananke theme and pt-BR language.
Eleventy .eleventy.js Template
Generates a .eleventy.js with input/output, passthroughCopy of assets/ and syntaxHighlight plugin.
astro.config.mjs Template
Generates an astro.config.mjs with defineConfig, site, integrations (tailwind, sitemap) and static output.
vitest.config.ts Template
Generates a vitest.config.ts with defineConfig, jsdom environment, globals true and v8 coverage.
playwright.config.ts Template
Generates a playwright.config.ts with testDir, baseURL, projects (chromium/firefox/webkit) and webServer.
cypress.config.js Template
Generates a cypress.config.js with defineConfig, baseUrl, viewport and default specPattern.
Storybook main.ts Template
Generates a .storybook/main.ts with stories, addons (essentials, a11y, interactions) and Vite framework.
WCAG AAA Color Contrast
Checks whether contrast between two hex colors meets WCAG AAA (7 to 1 for body, 4.5 to 1 for large).
HTML Canvas Aspect Ratio
Computes HTML canvas dimensions respecting a target aspect ratio from width or height.
CSS Clamp Builder
Generates a responsive CSS clamp() function from min, preferred and max sizes in rem or viewport.
CSS Typography Modular Scale
Generates 8 typography sizes on a modular scale from base size in rem and chosen ratio.
CSS Grid Area Builder
Builds the grid-area property of a cell from row-start, col-start, row-end and col-end coordinates.
CSS Grid Template Areas
Generates grid-template-areas from a simple matrix (rows separated by semicolons).
CSS Keyframes Generator
Generates a simple CSS keyframes block (fade or slide) from the chosen animation name.
CSS Multi Shadow Builder
Generates multi-layer CSS box-shadow (e.g. neumorphism) from the indicated elevation level.
SVG Path Arc Builder
Generates the A command of an SVG arc from radii, angle, flags and end point coordinates.
SVG Path Bezier Builder
Generates the C command of a cubic Bezier SVG curve from two control points and the end point.
Cron to Natural Portuguese Extras
Converts a 5-field cron expression to natural Portuguese description with extra interval cases.
Regex Named Capture Groups
Tests a JavaScript regex with named groups against a sample text and shows captured groups.
Lisp defun Template Builder
Builds a Lisp function skeleton with defun name args and body.
Prolog Fact and Rule Template
Builds Prolog facts and rules from predicate, arguments and body.
Haskell data type Template
Builds a Haskell data type with constructors and deriving Show Eq.
Erlang Supervisor Tree Builder
Builds an Erlang supervisor tree skeleton with children and strategy.
Scheme Procedure Template
Builds a Scheme define procedure with parameters and body.
Clojure Namespace Template
Builds a Clojure ns with require, import and initial defn.
Elixir GenServer Template
Builds an Elixir module with GenServer, init, handle_call and handle_cast.
Rust trait Template Builder
Builds a Rust trait with abstract and default methods plus sample impl.
OCaml functor Template
Builds an OCaml functor with module signature and applied module.
F sharp type provider Template
Builds an F sharp type provider skeleton with static parameters.
Julia Multiple Dispatch Template
Builds typed Julia functions with multiple dispatch for several arguments.
Racket syntax-rules Template
Builds a Racket define-syntax macro with syntax-rules and patterns.
Calculator ArgoCD Sync Throughput per Second
Estimates ArgoCD sync throughput per second.
Calculator ArgoCD Apps Overhead in MB
Estimates MB overhead per ArgoCD managed app.
Calculator ArgoCD Projects Overhead per Second
Estimates seconds overhead per ArgoCD project.
Calculator Flux Reconcile Throughput per Second
Estimates Flux reconcile throughput per second.
Calculator Flux Helm Release Throughput per Second
Estimates Flux Helm Release throughput per second.
Calculator Flux Kustomize Throughput per Second
Estimates Flux Kustomize throughput per second.
Calculator Jenkins X Pipeline Throughput per Second
Estimates Jenkins X pipeline throughput per second.
Calculator Tekton Pipeline Throughput per Second
Estimates Tekton pipeline throughput per second.
Calculator Tekton Task Throughput per Second
Estimates Tekton task throughput per second.
Calculator Spinnaker Deployment Throughput per Second
Estimates Spinnaker deployment throughput per second.
Calculator Harness Deployment Throughput per Second
Estimates Harness deployment throughput per second.
Calculator Octopus Deployment Throughput per Second
Estimates Octopus deployment throughput per second.
Calculator Istio Sidecar Overhead in MB
Estimates memory overhead per Istio sidecar.
Calculator Istio Throughput RPS per Pod
Estimates Istio throughput RPS per pod.
Calculator Istio Sidecar Injection Latency in ms
Estimates Istio sidecar latency overhead in ms.
Calculator Linkerd Sidecar Overhead in MB
Estimates memory overhead per Linkerd sidecar.
Calculator Linkerd Throughput RPS per Pod
Estimates Linkerd throughput RPS per pod.
Calculator Linkerd Sidecar Injection Latency in ms
Estimates Linkerd sidecar latency overhead in ms.
Calculator Cilium Throughput RPS per Node
Estimates Cilium throughput RPS per node.
Calculator Cilium Network Latency in ms
Estimates Cilium network latency in ms.
Calculator Cilium eBPF Overhead in MB
Estimates Cilium eBPF overhead in MB per node.
Calculator Consul Mesh Throughput RPS per Pod
Estimates Consul Connect throughput RPS per pod.
Calculator Consul Connect Mesh Latency in ms
Estimates Consul Connect mesh latency in ms.
Calculator Kuma Mesh Throughput RPS per Pod
Estimates Kuma throughput RPS per pod.
Prometheus Throughput Samples Per Second Calculator
Estimates samples per second throughput in Prometheus.
Prometheus Storage MB Per Person Calculator
Estimates storage MB per person retention.
Prometheus Rules Overhead Ms Calculator
Estimates recording rules overhead in ms.
Prometheus Alerts Throughput Per Second Calculator
Estimates alerts per second throughput.
Grafana Dashboards Overhead MB Calculator
Estimates dashboards memory overhead in MB.
Grafana Panels Overhead Ms Calculator
Estimates panels render overhead in ms.
Grafana Datasources Throughput Per Second Calculator
Estimates datasource queries per second.
Loki Throughput Logs Per Second Calculator
Estimates logs per second throughput in Loki.
Loki Storage MB Per Second Calculator
Estimates Loki storage MB per second.
Tempo Throughput Traces Per Second Calculator
Estimates traces per second throughput in Tempo.
Mimir Throughput Samples Per Second Calculator
Estimates samples per second throughput in Mimir.
Pyroscope Throughput Profiles Per Second Calculator
Estimates profiles per second throughput.
Lambda Throughput Invocations Per Second Calculator
Estimates AWS Lambda invocations per second given concurrency and duration.
Lambda Cold Start Overhead ms Calculator
Estimates cold start overhead in ms for AWS Lambda per runtime.
Lambda Memory Cost MB Second Calculator
Estimates GB-second cost of AWS Lambda given memory and duration.
Lambda Concurrency Overhead Seconds Calculator
Estimates concurrency scaling overhead in seconds of AWS Lambda.
Cloudflare Workers Throughput RPS Calculator
Estimates Cloudflare Workers requests per second on edge V8 isolates.
Cloudflare Workers Cold Start ms Calculator
Estimates cold start overhead in ms for Cloudflare Workers V8 isolates.
Cloudflare Workers CPU Time ms Calculator
Estimates CPU time in ms for Cloudflare Workers per request.
Vercel Functions Throughput Per Second Calculator
Estimates Vercel Functions edge or serverless requests per second.
Vercel Functions Cold Start ms Calculator
Estimates Vercel Functions edge or Node cold start overhead in ms.
Netlify Functions Throughput Per Second Calculator
Estimates Netlify Functions and edge handlers requests per second.
Deno Deploy Throughput RPS Calculator
Estimates Deno Deploy edge runtime TypeScript requests per second.
Bun Deploy Throughput RPS Calculator
Estimates Bun Deploy fast JavaScript runtime requests per second.
GraphQL Throughput Queries Per Second Calculator
Estimates GraphQL queries throughput per second per pod.
GraphQL Resolvers Overhead Calculator
Estimates GraphQL nested resolvers overhead in milliseconds.
GraphQL Subscriptions Throughput Calculator
Estimates GraphQL subscriptions websocket throughput per second.
REST API Throughput RPS Per Pod Calculator
Estimates REST API requests per second throughput per pod.
REST API Cache Hit Ratio Calculator
Estimates REST API cache hit ratio with Redis or CDN.
REST API Pagination Throughput Calculator
Estimates REST API cursor pagination throughput per second.
gRPC Throughput RPS Per Pod Calculator
Estimates gRPC requests per second throughput per pod.
gRPC Streaming Throughput Calculator
Estimates gRPC bidirectional streaming throughput per second.
gRPC Protobuf Payload Bytes Calculator
Estimates gRPC Protocol Buffers payload size in bytes.
tRPC Throughput RPS Per Pod Calculator
Estimates tRPC requests per second throughput per Node pod.
OpenAPI Validation Overhead Calculator
Estimates OpenAPI request validation overhead in milliseconds.
AsyncAPI Throughput Events Calculator
Estimates AsyncAPI events throughput per second in messaging.
Redis Ops Per Second Throughput Calculator
Estimates Redis operations per second throughput.
Redis Memory Per Keys MB Calculator
Estimates Redis memory usage in MB for N keys.
Redis PubSub Throughput Per Second Calculator
Estimates Redis Pub Sub messages per second throughput.
Redis Streams Throughput Per Second Calculator
Estimates Redis Streams entries per second throughput.
Redis Cluster Ops Per Second Throughput Calculator
Estimates total Redis Cluster ops per second throughput.
Amazon MemoryDB Ops Per Second Throughput Calculator
Estimates Amazon MemoryDB for Redis ops per second.
Amazon ElastiCache Ops Per Second Throughput Calculator
Estimates Amazon ElastiCache ops per second throughput.
Valkey Ops Per Second Throughput Calculator
Estimates Valkey Redis fork ops per second throughput.
KeyDB Ops Per Second Throughput Calculator
Estimates KeyDB multithreaded Redis fork ops per second.
Dragonfly Ops Per Second Throughput Calculator
Estimates Dragonfly Redis compatible DB ops per second.
Microsoft Garnet Ops Per Second Throughput Calculator
Estimates Microsoft Garnet remote cache DB ops per second.
Momento Cache Ops Per Second Throughput Calculator
Estimates Momento serverless cache ops per second.
Calculator Kafka Producer Throughput Msg Second
Calculates Kafka producer messages per second throughput.
Calculator Kafka Consumer Throughput Msg Second
Calculates Kafka consumer messages per second throughput.
Calculator Kafka Partitions Throughput Second
Calculates Kafka partitions msg per second throughput.
Calculator Kafka Retention Storage Gb
Calculates Kafka retention storage in gigabytes.
Calculator Kafka Streams Throughput Second
Calculates Kafka Streams records per second throughput.
Calculator Pulsar Throughput Msg Second
Calculates Apache Pulsar messages per second throughput.
Calculator Pulsar Partitions Throughput Second
Calculates Pulsar partitions msg per second throughput.
Calculator Pulsar Functions Throughput Second
Calculates Pulsar Functions events per second throughput.
Calculator Kinesis Throughput Records Second
Calculates AWS Kinesis records per second throughput.
Calculator Kinesis Firehose Throughput Second
Calculates Kinesis Firehose records per second throughput.
Calculator MSK Throughput Msg Second
Calculates AWS MSK messages per second throughput.
Calculator Eventhub Throughput Events Second
Calculates Azure Event Hubs events per second throughput.
Calculator Postgres Throughput TPS Pool
Calculates Postgres TPS throughput in connection pool.
Calculator Postgres Connections Overhead MB
Calculates Postgres per-connection memory overhead in MB.
Calculator Postgres Vacuum Overhead Second
Calculates Postgres VACUUM per-second overhead.
Calculator Postgres Replication Lag Second
Calculates Postgres replication lag per second.
Calculator MySQL Throughput TPS Pool
Calculates MySQL TPS throughput in connection pool.
Calculator MySQL InnoDB Buffer Pool MB
Calculates recommended MySQL InnoDB buffer pool size in MB.
Calculator MySQL Replication Lag Second
Calculates MySQL replication lag per second.
Calculator MariaDB Throughput TPS Pool
Calculates MariaDB TPS throughput in connection pool.
Calculator MariaDB Galera Throughput Second
Calculates MariaDB Galera cluster throughput per second.
Calculator CockroachDB Throughput TPS Pool
Calculates CockroachDB TPS throughput in connection pool.
Calculator YugabyteDB Throughput TPS Pool
Calculates YugabyteDB TPS throughput in connection pool.
Calculator TiDB Throughput TPS Pool
Calculates TiDB TPS throughput in connection pool.
Pinecone Throughput QPS Calculator
Estimates Pinecone query throughput per second by pods.
Pinecone Vector Storage MB Calculator
Estimates Pinecone vector storage in MB.
Weaviate Throughput QPS Calculator
Estimates Weaviate query throughput per second by nodes.
Weaviate Vector Storage MB Calculator
Estimates Weaviate vector storage in MB.
Qdrant Throughput QPS Calculator
Estimates Qdrant query throughput per second by shards.
Qdrant Vector Storage MB Calculator
Estimates Qdrant vector storage in MB.
Milvus Throughput QPS Calculator
Estimates Milvus query throughput per second by nodes.
Milvus Vector Storage MB Calculator
Estimates Milvus vector storage in MB.
Chroma DB Throughput QPS Calculator
Estimates Chroma DB query throughput per second.
pgvector Throughput QPS Calculator
Estimates pgvector query throughput per second.
Typesense Throughput QPS Calculator
Estimates Typesense query throughput per second.
Meilisearch Throughput QPS Calculator
Estimates Meilisearch query throughput per second.
Calculator vLLM Throughput Tokens Per Second
Estimates vLLM throughput tokens per second by GPU and batch.
Calculator vLLM Model Memory GB
Estimates vLLM GPU memory in GB to serve a model by parameters.
Calculator TGI Throughput Tokens Per Second
Estimates Text Generation Inference throughput tokens per second.
Calculator TGI Model Memory GB
Estimates TGI GPU memory in GB to serve a model by parameters.
Calculator Ollama Throughput Tokens Per Second
Estimates Ollama throughput tokens per second by model and quantization.
Calculator Ollama Model Memory GB
Estimates Ollama memory in GB to serve a model by parameters and quant.
Calculator llama.cpp Throughput Tokens Per Second
Estimates llama.cpp throughput tokens per second by CPU/GPU layers.
Calculator llama.cpp Model Memory GB
Estimates llama.cpp memory in GB to serve a model by GGUF/quant.
Calculator Text Generation Inference Throughput
Estimates Hugging Face Text Generation Inference throughput per GPU.
Calculator MLC LLM Throughput Tokens Per Second
Estimates MLC LLM throughput tokens per second by device.
Calculator SGLang Throughput Tokens Per Second
Estimates SGLang throughput tokens per second by GPU and batch.
Calculator TensorRT LLM Throughput Tokens Per Second
Estimates TensorRT LLM throughput tokens per second by GPU.
Calculator Cloudflare Throughput RPS per PoP
Estimates Cloudflare requests per second per PoP.
Calculator Cloudflare Cache Hit Ratio
Estimates Cloudflare cache hit ratio by configuration.
Calculator Akamai Throughput RPS per PoP
Estimates Akamai requests per second per PoP.
Calculator Akamai Cache Hit Ratio
Estimates Akamai cache hit ratio by configuration.
Calculator Fastly Throughput RPS per PoP
Estimates Fastly requests per second per PoP.
Calculator Fastly Cache Hit Ratio
Estimates Fastly cache hit ratio by configuration.
Calculator Bunny CDN Throughput RPS per PoP
Estimates Bunny CDN requests per second per PoP.
Calculator KeyCDN Throughput RPS per PoP
Estimates KeyCDN requests per second per PoP.
Calculator CDN77 Throughput RPS per PoP
Estimates CDN77 requests per second per PoP.
Calculator StackPath Throughput RPS per PoP
Estimates StackPath requests per second per PoP.
Calculator CloudFront Throughput RPS per PoP
Estimates AWS CloudFront requests per second per PoP.
Calculator AWS Global Accelerator Throughput RPS per PoP
Estimates AWS Global Accelerator requests per second per PoP.
Calculator Containerd Throughput Images per Second
Estimates containerd image pulls per second.
Calculator Containerd Overhead Bytes per Pod
Estimates containerd overhead bytes per pod.
Calculator CRI-O Throughput Images per Second
Estimates CRI-O image pulls per second.
Calculator CRI-O Overhead Bytes per Pod
Estimates CRI-O overhead bytes per pod.
Calculator Podman Throughput Images per Second
Estimates Podman image pulls per second.
Calculator Podman Overhead Bytes per Pod
Estimates Podman overhead bytes per pod.
Calculator Docker Throughput Images per Second
Estimates Docker image pulls per second.
Calculator Docker Overhead Bytes per Pod
Estimates Docker overhead bytes per pod.
Calculator Kata Containers Throughput per Second
Estimates Kata Containers creations per second.
Calculator Firecracker VMs Throughput per Second
Estimates Firecracker VMs throughput per second.
Calculator gVisor Throughput per Second
Estimates gVisor creations per second.
Calculator Youki Throughput per Second
Estimates Youki runtime throughput per second.
Calculator CUDA Throughput FLOPS per Second
Estimates FLOPS per second throughput in CUDA.
Calculator CUDA Memory Bytes per Second
Estimates memory bandwidth in bytes per second in CUDA.
Calculator ROCm Throughput FLOPS per Second
Estimates FLOPS per second throughput in AMD ROCm.
Calculator ROCm Memory Bytes per Second
Estimates memory bandwidth in bytes per second in ROCm.
Calculator Metal Compute Throughput FLOPS per Second
Estimates FLOPS per second throughput in Apple Metal compute.
Calculator Vulkan Compute Throughput FLOPS per Second
Estimates FLOPS per second throughput in Vulkan compute.
Calculator oneAPI Throughput FLOPS per Second
Estimates FLOPS per second throughput in Intel oneAPI.
Calculator OpenCL Throughput FLOPS per Second
Estimates FLOPS per second throughput in OpenCL.
Calculator Mojo Throughput FLOPS per Second
Estimates FLOPS per second throughput in Mojo Modular.
Calculator Triton Kernels Throughput FLOPS
Estimates FLOPS throughput in Triton GPU kernels.
Calculator NVIDIA Warp FLOPS Throughput per Second
Estimates FLOPS per second throughput in NVIDIA Warp.
Calculator JAX pmap Throughput per Second
Estimates pmap throughput per second in JAX.
Calculator Spanner Throughput TPS Pool
Estimates Google Cloud Spanner TPS throughput per pool.
Calculator FoundationDB Throughput Ops per Second
Estimates FoundationDB ops-per-second throughput.
Calculator Vitess Throughput TPS Pool
Estimates Vitess TPS throughput per shard pool.
Calculator Citus Throughput TPS Pool
Estimates Citus distributed TPS throughput per worker pool.
Calculator ClickHouse Throughput Rows per Second
Estimates ClickHouse rows-per-second throughput.
Calculator Druid Throughput Rows per Second
Estimates Apache Druid rows-per-second throughput.
Calculator Pinot Throughput Rows per Second
Estimates Apache Pinot rows-per-second throughput.
Calculator Doris Throughput Rows per Second
Estimates Apache Doris rows-per-second throughput.
Calculator StarRocks Throughput Rows per Second
Estimates StarRocks rows-per-second throughput.
Calculator Greenplum Throughput TPS Pool
Estimates Greenplum MPP TPS throughput per segment pool.
Calculator Snowflake Throughput Credits Person
Estimates Snowflake credit consumption per person and workload.
Calculator Databricks Throughput TPS Pool
Estimates Databricks SQL warehouse TPS throughput per pool.
Calculator Argo Rollouts Throughput Deployments per Second
Estimates Argo Rollouts deployments-per-second throughput.
Calculator Karpenter Provisioning Time Second
Estimates Karpenter node provisioning time in seconds.
Calculator KEDA Scaler Throughput per Second
Estimates KEDA scaler events-per-second throughput.
Calculator Helm Throughput Charts per Second
Estimates Helm charts-installed-per-second throughput.
Calculator Kustomize Throughput Overlays per Second
Estimates Kustomize overlays-rendered-per-second throughput.
Calculator Knative Functions Throughput per Second
Estimates Knative Functions invocations-per-second throughput.
Calculator Istio Canary Time Second
Estimates Istio canary release time in seconds.
Calculator Velero Backup Throughput MB per Second
Estimates Velero backup MB-per-second throughput.
Calculator Rancher Cluster Overhead MB
Estimates Rancher-managed cluster MB overhead.
Calculator Loft vCluster Throughput per Second
Estimates Loft vCluster creation-per-second throughput.
Calculator Crossplane Resources Overhead Second
Estimates Crossplane resources reconciliation overhead in seconds.
Calculator Operator SDK Throughput per Second
Estimates Operator SDK reconciliations-per-second throughput.
Calculator Cloudflare Edge Throughput RPS per POP
Estimates Cloudflare Workers requests-per-second per POP throughput.
Calculator Cloudflare Edge Cold Start ms
Estimates Cloudflare Workers cold start in milliseconds.
Calculator Vercel Edge Throughput RPS per POP
Estimates Vercel Edge Functions requests-per-second per POP throughput.
Calculator Vercel Edge Cold Start ms
Estimates Vercel Edge Functions cold start in milliseconds.
Calculator Netlify Edge Throughput RPS per POP
Estimates Netlify Edge Functions requests-per-second per POP throughput.
Calculator Fastly Compute Throughput RPS per POP
Estimates Fastly Compute at Edge requests-per-second per POP throughput.
Calculator Deno Deploy Edge Throughput RPS per POP
Estimates Deno Deploy requests-per-second per POP throughput.
Calculator AWS Lambda Edge Throughput RPS per POP
Estimates AWS Lambda Edge requests-per-second per POP throughput.
Calculator Azure Front Door Throughput RPS per POP
Estimates Azure Front Door requests-per-second per POP throughput.
Calculator GCP CDN Edge Throughput RPS per POP
Estimates GCP CDN Edge requests-per-second per POP throughput.
Calculator Bunny Edge Throughput RPS per POP
Estimates Bunny Edge requests-per-second per POP throughput.
Calculator StackPath Edge Throughput RPS per POP
Estimates StackPath Edge requests-per-second per POP throughput.
Calculator Strapi Throughput RPS per Pod
Estimates Strapi requests-per-second per pod throughput.
Calculator Strapi Storage MB per Person
Estimates Strapi storage in MB per user.
Calculator Sanity Throughput RPS per Pod
Estimates Sanity requests-per-second per pod throughput.
Calculator Sanity Storage MB per Person
Estimates Sanity storage in MB per user.
Calculator Contentful Throughput RPS per Pod
Estimates Contentful requests-per-second per pod throughput.
Calculator Contentful Storage MB per Person
Estimates Contentful storage in MB per user.
Calculator Payload CMS Throughput RPS per Pod
Estimates Payload CMS requests-per-second per pod throughput.
Calculator Directus Throughput RPS per Pod
Estimates Directus requests-per-second per pod throughput.
Calculator Keystatic Throughput RPS per Pod
Estimates Keystatic requests-per-second per pod throughput.
Calculator Prismic Throughput RPS per Pod
Estimates Prismic requests-per-second per pod throughput.
Calculator Storyblok Throughput RPS per Pod
Estimates Storyblok requests-per-second per pod throughput.
Calculator Tina CMS Throughput RPS per Pod
Estimates Tina CMS requests-per-second per pod throughput.
Calculator Auth0 Logins per Second Throughput
Estimates logins-per-second throughput on Auth0.
Calculator Auth0 MFA Overhead ms
Estimates Auth0 MFA overhead in milliseconds.
Calculator Clerk Logins per Second Throughput
Estimates logins-per-second throughput on Clerk.
Calculator Clerk MFA Overhead ms
Estimates Clerk MFA overhead in milliseconds.
Calculator SuperTokens Logins per Second Throughput
Estimates logins-per-second throughput on SuperTokens.
Calculator Ory Kratos Logins per Second Throughput
Estimates logins-per-second throughput on Ory Kratos.
Calculator Ory Hydra Tokens per Second Throughput
Estimates tokens-per-second throughput on Ory Hydra.
Calculator Keycloak Logins per Second Throughput
Estimates logins-per-second throughput on Keycloak.
Calculator Firebase Auth Logins per Second Throughput
Estimates logins-per-second throughput on Firebase Auth.
Calculator AWS Cognito Logins per Second Throughput
Estimates logins-per-second throughput on AWS Cognito.
Calculator Azure AD B2C Logins per Second Throughput
Estimates logins-per-second throughput on Azure AD B2C.
Calculator Okta Logins per Second Throughput
Estimates logins-per-second throughput on Okta.
Calculator Airflow Throughput Tasks per Second v2
Estimates task throughput per second on Apache Airflow workers v2.
Calculator Airflow DAG Overhead MB
Estimates Apache Airflow DAG overhead in MB.
Calculator Dagster Throughput Tasks per Second
Estimates task throughput per second on Dagster.
Calculator Dagster Overhead MB
Estimates Dagster pipeline overhead in MB.
Calculator Prefect Throughput Tasks per Second
Estimates task throughput per second on Prefect.
Calculator Prefect Overhead MB
Estimates Prefect flow overhead in MB.
Calculator Temporal Throughput Workflows per Second v2
Estimates workflow throughput per second on Temporal v2.
Calculator Temporal Overhead MB
Estimates Temporal workflow overhead in MB.
Calculator Argo Workflows Throughput per Second
Estimates workflow throughput per second on Argo Workflows.
Calculator Cadence Throughput Workflows per Second
Estimates workflow throughput per second on Cadence.
Calculator ZenML Throughput Pipelines per Second
Estimates pipeline throughput per second on ZenML.
Calculator Flyte Throughput Tasks per Second
Estimates task throughput per second on Flyte.
Calculator Jaeger Throughput Spans per Second
Estimates spans per second throughput in Jaeger.
Calculator Jaeger Storage MB per Second
Estimates storage in MB per second in Jaeger.
Calculator Zipkin Throughput Spans per Second
Estimates spans per second throughput in Zipkin.
Calculator Honeycomb Throughput Events per Second
Estimates events per second throughput in Honeycomb.
Calculator Datadog Tracing Throughput Spans per Second
Estimates spans per second throughput in Datadog APM.
Calculator New Relic Throughput Spans per Second
Estimates spans per second throughput in New Relic.
Calculator Lightstep Throughput Spans per Second
Estimates spans per second throughput in Lightstep.
Calculator OpenTelemetry Collector Throughput per Second
Estimates throughput per second in OpenTelemetry Collector.
Calculator Grafana Tempo Throughput Spans per Second
Estimates spans per second throughput in Grafana Tempo.
Calculator AWS X-Ray Throughput Traces per Second
Estimates traces per second throughput in AWS X-Ray.
Calculator GCP Cloud Trace Throughput Spans per Second
Estimates spans per second throughput in GCP Cloud Trace.
Calculator Azure Monitor Traces Throughput per Second
Estimates traces per second throughput in Azure Monitor.
LaunchDarkly Throughput Flags per Second Calculator
Estimates throughput of flag evaluations per second in LaunchDarkly.
LaunchDarkly Overhead ms Calculator
Estimates overhead in ms per evaluation in LaunchDarkly.
Unleash Throughput Flags per Second Calculator
Estimates throughput of flag evaluations per second in Unleash.
Unleash Overhead ms Calculator
Estimates overhead in ms per evaluation in Unleash.
Flagsmith Throughput Flags per Second Calculator
Estimates throughput of flag evaluations per second in Flagsmith.
Flagsmith Overhead ms Calculator
Estimates overhead in ms per evaluation in Flagsmith.
GrowthBook Throughput Flags per Second Calculator
Estimates throughput of flag evaluations per second in GrowthBook.
Split.io Throughput Flags per Second Calculator
Estimates throughput of flag evaluations per second in Split.io.
Optimizely Throughput Flags per Second Calculator
Estimates throughput of flag evaluations per second in Optimizely.
Statsig Throughput Flags per Second Calculator
Estimates throughput of flag evaluations per second in Statsig.
ConfigCat Throughput Flags per Second Calculator
Estimates throughput of flag evaluations per second in ConfigCat.
Flagd Throughput Flags per Second Calculator
Estimates throughput of flag evaluations per second in Flagd OpenFeature.
Calculator SendGrid Throughput Emails per Second
Estimates email send throughput per second on SendGrid.
Calculator SendGrid Delivery Rate Percentage
Estimates delivery rate percentage on SendGrid.
Calculator Postmark Throughput Emails per Second
Estimates email send throughput per second on Postmark.
Calculator Postmark Delivery Rate Percentage
Estimates delivery rate percentage on Postmark.
Calculator Mailgun Throughput Emails per Second
Estimates email send throughput per second on Mailgun.
Calculator Mailgun Delivery Rate Percentage
Estimates delivery rate percentage on Mailgun.
Calculator Resend Throughput Emails per Second
Estimates email send throughput per second on Resend.
Calculator Mailchimp Throughput Emails per Second
Estimates email send throughput per second on Mailchimp.
Calculator AWS SES Throughput Emails per Second
Estimates email send throughput per second on AWS SES.
Calculator Mailtrap Throughput Emails per Second
Estimates email send throughput per second on Mailtrap.
Calculator Loops Throughput Emails per Second
Estimates email send throughput per second on Loops.
Calculator Postal Throughput Emails per Second
Estimates email send throughput per second on Postal.
Calculator Stripe Payments Throughput per Second
Estimates payment throughput per second on Stripe.
Calculator Stripe Conversion Rate Percentage
Calculates payment conversion rate percentage on Stripe.
Calculator Paddle Payments Throughput per Second
Estimates payment throughput per second on Paddle.
Calculator LemonSqueezy Payments Throughput per Second
Estimates payment throughput per second on LemonSqueezy.
Calculator Mercado Pago Payments Throughput per Second
Estimates payment throughput per second on Mercado Pago.
Calculator PagSeguro Payments Throughput per Second
Estimates payment throughput per second on PagSeguro.
Calculator Pagar.me Payments Throughput per Second
Estimates payment throughput per second on Pagar.me.
Calculator Asaas Payments Throughput per Second
Estimates payment throughput per second on Asaas.
Calculator Square Payments Throughput per Second
Estimates payment throughput per second on Square.
Calculator Adyen Payments Throughput per Second
Estimates payment throughput per second on Adyen.
Calculator Braintree Payments Throughput per Second
Estimates payment throughput per second on Braintree.
Calculator Checkout.com Payments Throughput per Second
Estimates payment throughput per second on Checkout.com.
Calculator AWS S3 Throughput MB per Second
Calculates throughput in MB per second on AWS S3.
Calculator Cloudflare R2 Throughput MB per Second
Calculates throughput in MB per second on Cloudflare R2.
Calculator Backblaze B2 Throughput MB per Second
Calculates throughput in MB per second on Backblaze B2.
Calculator Wasabi Throughput MB per Second
Calculates throughput in MB per second on Wasabi Hot Storage.
Calculator MinIO Throughput MB per Second
Calculates throughput in MB per second on MinIO self-hosted.
Calculator Ceph Throughput MB per Second
Calculates throughput in MB per second on Ceph RGW.
Calculator GCP Cloud Storage Throughput MB per Second
Calculates throughput in MB per second on Google Cloud Storage.
Calculator Azure Blob Throughput MB per Second
Calculates throughput in MB per second on Azure Blob Storage.
Calculator Tigris Throughput MB per Second
Calculates throughput in MB per second on Tigris global storage.
Calculator Storj Throughput MB per Second
Calculates throughput in MB per second on Storj DCS distributed storage.
Calculator Supabase Storage Throughput MB per Second
Calculates throughput in MB per second on Supabase Storage.
Calculator DigitalOcean Spaces Throughput MB per Second
Calculates throughput in MB per second on DigitalOcean Spaces.
Calculator Velero Backup Throughput MB per Second v2
Calculates backup throughput in MB per second on Velero Kubernetes.
Calculator Restic Backup Throughput MB per Second
Calculates backup throughput in MB per second with Restic.
Calculator Kopia Backup Throughput MB per Second
Calculates backup throughput in MB per second with Kopia.
Calculator Duplicati Backup Throughput MB per Second
Calculates backup throughput in MB per second with Duplicati.
Calculator BorgBackup Throughput MB per Second
Calculates backup throughput in MB per second with BorgBackup.
Calculator rsync Throughput MB per Second
Calculates sync throughput in MB per second with rsync.
Calculator Bacula Backup Throughput MB per Second
Calculates backup throughput in MB per second with Bacula.
Calculator Bareos Backup Throughput MB per Second
Calculates backup throughput in MB per second with Bareos.
Calculator Amanda Backup Throughput MB per Second
Calculates backup throughput in MB per second with Amanda.
Calculator Zerto Replication Throughput MB per Second
Calculates DR replication throughput in MB per second with Zerto.
Calculator Veeam Backup Throughput MB per Second
Calculates backup throughput in MB per second with Veeam.
Calculator Commvault Backup Throughput MB per Second
Calculates backup throughput in MB per second with Commvault.
Calculator Twilio SMS Throughput Per Second
Calculates Twilio SMS throughput per second.
Calculator Twilio Delivery Rate Percentage
Calculates Twilio message delivery percentage.
Calculator Plivo SMS Throughput Per Second
Calculates Plivo SMS throughput per second.
Calculator Bandwidth SMS Throughput Per Second
Calculates Bandwidth SMS throughput per second.
Calculator Vonage SMS Throughput Per Second
Calculates Vonage SMS throughput per second.
Calculator MessageBird SMS Throughput Per Second
Calculates MessageBird SMS throughput per second.
Calculator Sinch SMS Throughput Per Second
Calculates Sinch SMS throughput per second.
Calculator Clickatell SMS Throughput Per Second
Calculates Clickatell SMS throughput per second.
Calculator AWS SNS Message Throughput Per Second v2
Calculates AWS SNS message throughput per second.
Calculator Zenvia SMS Throughput Per Second
Calculates Zenvia SMS throughput per second.
Calculator TotalVoice SMS Throughput Per Second
Calculates TotalVoice SMS throughput per second.
Calculator PlusPoint SMS Throughput Per Second
Calculates PlusPoint SMS throughput per second.
Grafana Loki Throughput Calculator Per Second
Calculates log/event throughput per second on Grafana Loki.
Splunk Throughput Calculator Per Second
Calculates log/event throughput per second on Splunk.
Sumo Logic Throughput Calculator Per Second
Calculates log/event throughput per second on Sumo Logic.
Logz.io Throughput Calculator Per Second
Calculates log/event throughput per second on Logz.io.
Papertrail Throughput Calculator Per Second
Calculates log/event throughput per second on Papertrail.
Datadog Logs Throughput Calculator Per Second
Calculates log/event throughput per second on Datadog Logs.
New Relic Logs Throughput Calculator Per Second
Calculates log/event throughput per second on New Relic Logs.
Google Cloud Logging Throughput Calculator Per Second
Calculates log/event throughput per second on Google Cloud Logging.
Azure Monitor Logs Throughput Calculator Per Second
Calculates log/event throughput per second on Azure Monitor Logs.
AWS CloudWatch Logs Throughput Calculator Per Second
Calculates log/event throughput per second on AWS CloudWatch Logs.
Graylog Throughput Calculator Per Second
Calculates log/event throughput per second on Graylog.
Elastic Cloud Logs Throughput Calculator Per Second
Calculates log/event throughput per second on Elastic Cloud Logs.
Datadog APM APM Throughput Per Second Calculator
Calculates APM event throughput per second on Datadog APM.
New Relic APM APM Throughput Per Second Calculator
Calculates APM event throughput per second on New Relic APM.
AppDynamics APM APM Throughput Per Second Calculator
Calculates APM event throughput per second on AppDynamics APM.
Dynatrace APM APM Throughput Per Second Calculator
Calculates APM event throughput per second on Dynatrace APM.
Instana APM APM Throughput Per Second Calculator
Calculates APM event throughput per second on Instana APM.
Checkmk Checks Throughput Per Second Calculator
Calculates monitoring check throughput per second on Checkmk.
Nagios Checks Throughput Per Second Calculator
Calculates monitoring check throughput per second on Nagios.
Zabbix Checks Throughput Per Second Calculator
Calculates monitoring check throughput per second on Zabbix.
Icinga Checks Throughput Per Second Calculator
Calculates monitoring check throughput per second on Icinga.
Uptime Kuma Checks Throughput Per Second Calculator
Calculates monitoring check throughput per second on Uptime Kuma.
Pingdom Checks Throughput Per Second Calculator
Calculates monitoring check throughput per second on Pingdom.
Statuspage Checks Throughput Per Second Calculator
Calculates monitoring check throughput per second on Statuspage.
GitHub Actions Runs per Minute Throughput Calculator
Estimates runs per minute throughput in GitHub Actions.
GitHub Actions Per-Second Overhead Calculator
Estimates job startup overhead in GitHub Actions in seconds.
GitLab CI Runs per Minute Throughput Calculator
Estimates runs per minute throughput in GitLab CI.
GitLab CI Per-Second Overhead Calculator
Estimates job startup overhead in GitLab CI in seconds.
CircleCI Runs per Minute Throughput Calculator
Estimates runs per minute throughput in CircleCI.
CircleCI Per-Second Overhead Calculator
Estimates job startup overhead in CircleCI in seconds.
Buildkite Runs per Minute Throughput Calculator
Estimates runs per minute throughput in Buildkite.
Buildkite Per-Second Overhead Calculator
Estimates job startup overhead in Buildkite in seconds.
Travis CI Runs per Minute Throughput Calculator
Estimates runs per minute throughput in Travis CI.
Drone CI Runs per Minute Throughput Calculator
Estimates runs per minute throughput in Drone CI.
Woodpecker CI Runs per Minute Throughput Calculator
Estimates runs per minute throughput in Woodpecker CI.
Concourse CI Runs per Minute Throughput Calculator
Estimates runs per minute throughput in Concourse CI.
JSON Minifier
Removes spaces, line breaks and indentation from valid JSON to reduce payload size, with single-line stringify option.
JSON Schema from JSON
Paste a sample JSON object and automatically generate JSON Schema (draft-2020-12) inferring types, required and enums.
JSON Tree Viewer
Paste a large JSON and navigate it as an expandable tree with key/value search and item count for arrays/objects.
OpenAPI Spec from curl
Paste one or more curl commands and generate an OpenAPI 3.0 spec skeleton with paths, methods, parameters and request/response examples.
YAML Anchors & Merge Expander
Paste YAML with &anchor/*alias/<<: *merge and see the expanded result with all references resolved — useful for CI configs.
.env to nested YAML Converter
Converts variables in .env format to nested YAML by splitting on __ or _ separator — ideal for Helm values and Kubernetes.
.env to JSON Converter
Convert a .env file into a (optionally nested) JSON object with optional type coercion (boolean, number, inline JSON) for frontend configs.
Pretty Error Stack
Paste a minified or noisy stack trace and see a clean version with node_modules filter, numbered frames, and separated source-maps.
Mermaid Flowchart Generator
Build a Mermaid flowchart via form (nodes and edges) and see the SVG preview rendered in the browser, copyable as code.
GraphQL Query Formatter
Pretty-print GraphQL queries and mutations with consistent indentation, optional field sorting, and comment removal.
IEEE 754 Converter (Float ↔ Hex ↔ Binary)
Convert between float, hex and binary in IEEE 754 with single (32-bit) and double (64-bit) precision instantly.
Bitwise Playground (AND/OR/XOR/Shift)
Visualize bitwise AND, OR, XOR, NOT and shifts (<<, >>, >>>) over integers in decimal, hex and binary side by side.
HTTP Header Analyzer
Paste raw HTTP headers (curl/devtools) and receive an explained table with security score, cache policy and detected CORS.
CSS backdrop-filter Builder
Build glass background effects combining blur, brightness, saturate, hue-rotate in CSS backdrop-filter with real-time preview.
CSS transform Builder (translate/rotate/scale)
Combine translate, rotate, scale, skew and matrix3d in CSS transform with interactive preview and clean code ready to paste.
CSS filter Builder
Generate CSS filter combining blur, brightness, contrast, grayscale, sepia, invert, hue-rotate with sample image preview.
CSS mix-blend-mode Tester
Test all CSS mix-blend-mode modes (multiply, screen, overlay, etc.) over two customizable layers and copy the ready code.
.dockerignore Generator
Build an optimized .dockerignore per stack (Node, Python, Java, Go, .NET) by checking templates or pasting .gitignore for direct conversion.
BEM Class Generator
Create valid block__element--modifier (BEM) class names from words in PT-BR/EN with convention validation and HTML preview.
Git Branch Name Generator (Gitflow)
Generate Git branch names in Gitflow pattern (feature/, hotfix/, release/) from issue number, title and type, with character validation.
JWKS Builder (RSA Public Key)
Build a JSON Web Key Set (JWKS) from an RSA public key — useful for configuring OAuth/OIDC providers and validating JWTs.
BSD Checksum (sum -r) of File
Calculate the BSD-style `sum -r` (16-bit rotating sum) checksum of local files, useful for validating transfers on legacy Unix systems.
FNV-1a Hash (32/64-bit)
Calculate the FNV-1a 32/64-bit hash of strings — a non-cryptographic algorithm popular in hash tables, bloom filters and DNS resolvers.
JWT kid Fingerprint (RFC 7638)
Calculate the `kid` (key ID) of a public JWK per RFC 7638 (JWK Thumbprint SHA-256) — useful in OAuth key rotation.
Adler-32 Checksum
Calculate Adler-32 — checksum used in zlib/PNG, faster than CRC32 with comparable protection for short data.
JSON Schema Validator (Ajv draft-07)
Validate a JSON document against a JSON Schema (draft-07) locally, with detailed error messages for debugging APIs.
Redis Config Helper
Build a redis.conf file with common flags (maxmemory, policy, persistence, password) — useful for quick self-hosting.
GraphQL Query Formatter (Advanced)
Indent and organize GraphQL queries/mutations, including fragments, variables and directives — useful for reviewing API payloads.
Bencode (.torrent) Decoder
Decode .torrent files (Bencode format) showing metadata like info_hash, trackers, size and file structure.
Protobuf Descriptor Parser
Decode `.proto` descriptors in binary or text format, listing messages, fields, types and options — useful for gRPC.
Cron: Next Runs
Compute the next N runs of a cron expression with timezone, predicting exact day and time of scheduled jobs.
Cron Quartz Builder
Build cron expressions in Quartz format (7 fields with seconds and year) for Spring, Jenkins and Java schedulers, with human-readable explanation.
Cron Human Explainer (PT-BR)
Translate complex cron expressions into Portuguese sentences ("every Monday 9am, weekdays"), like Crontab Guru but in PT-BR.
jq Playground
Test jq filters over local JSON with syntax highlighting and instant result display, no jq installation needed.
JSONPath Tester
Evaluate JSONPath expressions on any JSON and see highlighted matches in tree, ideal for building API queries.
JMESPath Tester (AWS/Azure CLI)
Build and test JMESPath expressions (used in AWS CLI and Azure CLI) on JSON with operator explanations.
JSON Patch Builder (RFC 6902)
Generate JSON Patch operations (add/remove/replace/move/copy/test) by comparing two JSONs and apply patches manually.
JWT Builder (HMAC)
Create JWTs signed with HMAC by providing header, payload and secret, ready for API authentication testing.
YAML Pretty Validator
Paste YAML to validate syntax, display errors with line/column and reformat with consistent indentation.
GraphQL Formatter
Pretty-print GraphQL queries, mutations and subscriptions with proper indentation and optional alphabetical field sorting.
RGB ↔ OKLCH Converter
Convert colors between RGB, HEX and OKLCH with live lightness, chroma and hue sliders. Use the modern CSS Color 4 palette in-browser.
CSS Pie Chart (conic-gradient) Generator
Generate CSS pie/donut charts using `conic-gradient()` by entering categories and percentages. Output ready to paste into any front-end project.
CSS Logical Properties Converter
Convert margin-left, padding-right and friends to logical equivalents `margin-inline-start`, `padding-block-end` etc. RTL-ready.
GraphQL Voyager Mini
Visualize a GraphQL SDL schema as an interactive graph of types and relationships. Spot circular dependencies and orphan types.
JSON → TypeScript Interface
Paste real JSON and get a TypeScript `interface` inferred with types, optionals and nested arrays. Supports snake_case → camelCase.
sed Command Builder
Build `sed` expressions (substitute, delete, append) visually, with preview on sample text. Output ready for the terminal.
awk Snippet Builder
Generate `awk` commands to extract columns, filter lines and sum fields from a CSV/TSV sample. Output with `-F` and an explained action.
Cron Calendar Visualizer
Paste a 5- or 6-field cron expression and see the next runs in a monthly calendar. IANA timezone supported.
Docker OCI Label Builder
Generate standardized OCI LABELs (`org.opencontainers.image.*`) for Dockerfile with title, version, source, revision. Podman-compatible.
KSUID Generator and Parser
Generate KSUIDs (Segment's K-Sortable Unique IDs) with embedded timestamp or parse an existing one to extract its creation instant.
DBML to SQL Converter
Convert DBML (Database Markup Language) schemas to DDL SQL ready for PostgreSQL, MySQL and SQLite. 100% in browser, no upload.
XPath / CSS Selector Tester
Paste HTML and test XPath and CSS selectors instantly, with match highlighting and counts. Useful for scraping and E2E automation.
Webhook Payload Inspector
Paste JSON webhook payloads (GitHub, Stripe, Slack, Discord) and view headers, signatures and structure in an expandable tree.
TypeScript to JSON Schema
Paste TypeScript interfaces and generate JSON Schema Draft-07 compatible output, with support for unions, optionals and nested arrays.
Pkl (Apple) to JSON
Parser for Pkl, Apple's configuration language, to JSON. Supports basic types, maps, lists and nested blocks.
Browser SQLite Viewer
Open .sqlite/.db files directly in the browser via sql.js (WebAssembly). List tables, run SELECTs and export to JSON/CSV.
cURL to Postman Collection
Paste cURL commands and generate a Postman Collection v2.1 JSON ready to import. Supports headers, body and query string.
JWE Debugger
Decode header and structure of JWE tokens (5 parts), with identification of key management and content encryption algorithms.
Cipher Suite Analyzer
Paste an IANA/OpenSSL/GnuTLS cipher suite name and see KEX, authentication, symmetric cipher, mode and HMAC. Shows forward secrecy status.
SBOM SPDX/CycloneDX Validator
Validate SBOM files in SPDX JSON or CycloneDX JSON format against the official schema. Checks required fields and PURLs.
JSON to Kotlin Data Class
Convert JSON to a Kotlin data class with inferred types, nullability and nested-class support — ready for Android.
JSON to Swift Codable
Generate Codable-conforming Swift structs from JSON, with key mapping and optional types.
JSON to Java POJO
Convert JSON to Java POJO classes with getters/setters, optional Jackson annotations and inferred types.
JSON to PHP 8 Class
Generate typed PHP 8 classes from JSON, with properties, constructor and fromArray/toArray helpers.
JSON to Ruby Struct
Convert JSON to Ruby Struct or Data class with optional RBS typing for Sorbet projects.
cURL to Go net/http
Convert cURL commands to Go code using net/http with headers, body and error handling.
cURL to Rust reqwest
Transform cURL into Rust code using the async reqwest crate with headers, JSON body and timeouts.
cURL to axios
Convert cURL commands to axios JavaScript calls with interceptors, baseURL and full config.
cURL to C# HttpClient
Generate C# HttpClient .NET code from cURL, with proper using statements and async/await.
GitHub Actions YAML Builder
Build a .github/workflows/ci.yml with triggers, jobs, runners and common steps (checkout, setup-node, npm test).
OpenAPI 3.1 Strict Validator
Strict validator for OpenAPI 3.1: paste YAML/JSON spec and check schemas, paths, security and refs with detailed errors in the browser.
OpenAPI Overlay 1.0.0 Builder
OpenAPI Overlay 1.0.0 builder: applies JSONPath patches over a base OpenAPI without editing the original file.
AsyncAPI 3.0 Validator
AsyncAPI 3.0 spec validator: paste YAML/JSON and validate channels, operations, messages and bindings locally.
OpenAPI Mock Server Builder
Generate mock scripts (Express + JSON-Server) from OpenAPI 3 — paste the spec and download a working mock server as ZIP.
jq Query Builder
Visual jq expression builder: tests pipelines (.foo[] | select(.x>2)) live against pasted JSON, shows AST and output.
JSON Schema 2020-12 Validator
Strict validator for JSON Schema draft 2020-12 with $dynamicRef, $vocabulary and cross $defs, detailed messages.
Protobuf .proto3 Formatter & Validator
.proto3 formatter and validator: indents, checks syntax and detects duplicated fields, reserved and out-of-range numbers.
YAML Multi-Document Splitter
Split a multi-document YAML (--- separators) into individual files by kind or metadata.name; great for k8s/helm.
K8s Job YAML Builder
Build a K8s Job manifest (with backoffLimit, ttlSecondsAfterFinished, parallelism, completions) and export the YAML.
GraphQL SDL Formatter
GraphQL SDL formatter: aligns types, sorts fields and directives, and breaks long unions/enums; keeps comments.
GraphQL Beautifier
Beautifier that reformats GraphQL queries, mutations, subscriptions and schemas with consistent indentation, alignment and production-ready formatting.
SQL Syntax Validator
Detects SQL syntax errors in MySQL, PostgreSQL, SQLite and SQL Server highlighting line and column without executing the query.
Regex from Examples
Regex inference from text samples: paste examples of what to match and the tool suggests the corresponding regex pattern.
Glob to Regex Converter
Converts file glob patterns (asterisk, brace expansion, globstar) into equivalent regular expressions for use in code.
Protobuf Binary Decoder
Decodes Protobuf payload in hex/base64 inferring structure when the .proto file is unavailable, useful for reverse engineering.
JWT Signer RS256/ES256
Builds and signs JWT using RSA (RS256, RS384, RS512) and ECDSA (ES256, ES384) algorithms in the browser via Web Crypto API.
OpenAPI Mock Data Faker
Reads OpenAPI 3.x spec and generates realistic mock responses for each endpoint based on schemas, with faker support for names, emails and dates.
Multi-Config Converter (JSON/YAML/TOML/INI/ENV)
Converts between 5 config formats in a single screen: JSON, YAML, TOML, INI and .env, with auto-detection of input format.
bcrypt Cost Benchmark
Measures real bcrypt hash time at different cost factors (4-15) on your current hardware to help pick the appropriate secure value.
SSE Event Builder
Builds correct SSE payloads with event, data, id and retry fields and formats multiple events ready to send from Express, Fastify or Cloudflare Workers.
JSON Canonicalization JCS (RFC 8785)
Applies JSON Canonicalization Scheme (RFC 8785) sorting keys and normalizing numbers for reproducible hashing.
JSON Pointer Tester (RFC 6901)
Evaluates JSON Pointer expressions against a JSON document per RFC 6901, showing resolved value and each segment.
JSON Merge Patch (RFC 7396)
Applies Merge Patch (RFC 7396) style patches over a JSON document with null removal semantics.
ESM Import Map Builder
Builds the JSON for script type=importmap with aliases and scopes for ECMAScript modules in modern HTML.
Speculation Rules Builder
Generates JSON script type=speculationrules with prerender and prefetch to speed up navigation in modern Chrome.
modulepreload Tag Builder
Generates link rel=modulepreload tags for critical JS modules with optional SRI integrity and crossorigin.
HTML dialog Builder
Generates full markup for modal/non-modal dialog with close button, showModal and cancel event examples.
HTML popover Builder
Generates HTML markup using popover, popovertarget and popovertargetaction attributes for native tooltips and menus.
HTML datalist Builder
Generates input with list bound to datalist for native autocomplete from a pasted list of options.
HTML details/summary Builder
Generates native accordion components using details and summary with open/close styles and custom marker.
JsonLogic Tester
Evaluate JsonLogic expressions against JSON data in the browser, with step-by-step operator inspection and real-time final result.
ICU MessageFormat Tester
Render ICU MessageFormat messages (plural, select, number, date) with custom arguments and see the formatted output per BCP-47 locale.
OpenAPI Deref Bundler
Resolve all $ref references in an OpenAPI 3.x spec and generate a unified document ready to distribute to clients.
JSON Deep Merge
Combine two or more JSON documents with deep merge (arrays append, recursive objects, optional overwrite) and side-by-side visual diff.
Problem Details (RFC 9457) Builder
Build HTTP error responses in the Problem Details standard (RFC 9457) with type, title, status, detail, instance and custom extensions.
Structured Fields (RFC 8941) Tester
Parse and build HTTP Structured Fields values (RFC 8941): lists, dictionaries, items with parameters, byte sequences, booleans and tokens.
LDAP Filter (RFC 4515) Builder
Visually build LDAP RFC 4515 filters (and, or, not, equal, substring, presence) with DN validator and escaping of special characters.
LDIF (RFC 2849) Builder
Create LDIF files (RFC 2849) for importing into LDAP directories with entries, multi-value attributes, changetypes (add/modify/delete) and base64.
Cron Fire Times Explorer
List the next N firings of a cron expression (5 or 6 fields) with custom timezone and ISO 8601 format, simulating schedulers.
Glob Pattern Tester
Test glob patterns (gitignore, minimatch, bash extglob) against lists of paths with matching explanation and case-insensitive / dotfiles flags.
IPFS CID v0/v1 Converter
Convert IPFS CIDs between v0 (base58btc/Qm...) and v1 (multibase/multihash) with codec choice dag-pb, raw, dag-cbor.
Multihash Decoder
Decode multihash strings (hex/base58/base64), showing algorithm code, digest size, and hash bytes per IPFS Multihash spec.
Multiaddr Parser
Decompose multiaddr addresses (/ip4/.../tcp/.../p2p/...) into segments with protocol, value, and per-component validation.
Problem Details RFC 7807 Builder
Build application/problem+json responses per RFC 7807 with type, title, status, detail, instance, and custom extensions.
JSON Schema Faker Payload
Generate valid fake JSON payloads from a JSON Schema (supports type, enum, format date-time/email/uuid, min/max).
Regex PCRE to Rust/ECMAScript
Convert PCRE/Python regex to Rust regex crate and ECMAScript syntax, warning about lookbehind, atomic groups, and named refs.
URI Template RFC 6570 Tester
Expand RFC 6570 templates (levels 1-4) with given vars, showing each operator (+ # . / ; ? and) explained.
CycloneDX SBOM Strict Validator
Validate CycloneDX JSON SBOMs against specVersion 1.5/1.6, listing components, licenses, vulnerabilities, and missing required fields.
Link Header RFC 5988 Complete Builder
Build HTTP Link headers per RFC 5988/8288 with multiple URIs, rel, hreflang, media, type, title.
SAML Assertion Fake Builder
Generate fake SAML 2.0 Assertions with Subject, Conditions, AuthnStatement, AttributeStatement for tests and demos.
Regex Lookbehind/Lookahead Tester
Test regular expressions with lookahead and lookbehind (positive and negative). View captures, positions, and ES2018+ examples. For devs.
Regex Unicode Property Escapes Tester
Test patterns with Unicode property escapes like \p{Letter}, \p{Script=Greek}, \p{Emoji}. Useful for multilingual text.
YAML Anchor/Alias Resolver
Expand anchors and aliases in YAML to view the final resolved document. Detects circular references.
Helm Template Renderer
Paste a Helm template with values.yaml and see the resulting Kubernetes manifest. Supports range, with, if and basic functions.
Kubernetes Manifest Semantic Diff
Compare two K8s YAML manifests and view semantic (not textual) differences — ignores key order and annotations.
Input Shaper Frequency Calculator (Klipper)
Calculate optimal frequency and input shaper type (ZV, MZV, EI) from resonance test measurements in a 3D printer.
Pressure Advance Tower Calculator
Enter your optimal PA tower height and increment factor to obtain the exact pressure_advance value for 3D printer.
Cron Next Runs Explorer
View the next 20 executions of a cron expression in any timezone, with ms diff between runs and UTC time.
Prompt Injection Detector
Analyze text searching for common prompt injection patterns (ignore previous, jailbreak, role override). Heuristic, no AI.
LLM Token Counter (PT-BR)
Estimate token count (GPT-4, Claude) of a Portuguese text. Approximation by syllables and simplified BPE, no external calls.
Cron Timezone DST Shift Explainer
Show when a cron drifts from expected time due to DST across timezones. Visualize next N executions side by side in UTC and local TZ.
OpenAPI to gRPC Proto Converter
Convert OpenAPI 3.0/3.1 schemas into proto3 files with messages, RPC services and type mappings. Based on NYT openapi2proto.
OpenAPI to TypeScript Types
Generate TypeScript type definitions (interfaces + paths) from OpenAPI 3.0/3.1, similar to openapi-typescript. Includes union types and operations.
SQL to MongoDB Aggregation
Translate SELECTs with WHERE, GROUP BY, JOIN, ORDER BY and LIMIT into MongoDB aggregation pipelines ($match, $group, $lookup, $sort, $limit).
Docker Compose to Kubernetes
Convert docker-compose.yml into Kubernetes manifests (Deployment, Service, ConfigMap, PVC). Simplified Kompose style, 100% in the browser.
Dockerfile Linter (Hadolint Rules)
Analyze Dockerfile for common issues: unpinned versions, USER root, apt-get without cleanup, COPY before RUN. DL3xxx rules.
Docker Compose Linter (DCLint)
Validate docker-compose.yml: indentation, volumes, schema, services without image and DCLint-style best practices. Reports with severity level.
GraphQL Schema Printer
Take an introspection JSON result and print the schema as formatted SDL (printSchema). Supports directives and descriptions.
NPM Package Outdated Checker
Paste package.json and see current vs latest version, major/minor/patch behind, and conservative upgrade suggestions.
WASM to WAT Disassembler
Load a .wasm file and show the disassembled module in WAT text format (sections, types, functions, imports/exports). wasm2wat style.
Server-Timing HTTP Header Builder
Build the HTTP Server-Timing header with multiple metrics (name;dur=ms;desc="..."). Includes common categories: db, cache, total, app.
SVCB and HTTPS DNS Record Builder
Build DNS SVCB and HTTPS records (RFC 9460) with SvcPriority, TargetName and SvcParams (alpn, port, ipv4hint, ipv6hint, ech, no-default-alpn).
SSH authorized_keys Line Builder
Build a ~/.ssh/authorized_keys line with options (command=, from=, no-pty, no-port-forwarding, restrict, expiry-time) and the public key.
UUID v1 MAC/Timestamp Extractor
Decode UUID v1 (and v6) extracting MAC node, clock_seq and timestamp (100ns precision since 1582-10-15). Detects random multicast bit.
IPv6 CIDR Aggregator
Paste a list of IPv6 prefixes (one per line) and aggregate adjacent blocks into a supernet of the same prefix. Useful to compact ACL/firewall lists.
HTML <a> rel Attribute Builder
Pick values for the rel attribute of HTML links (noopener, noreferrer, nofollow, ugc, sponsored, external, me, license, author, alternate) with security and SEO hints.
/etc/hosts Line Builder
Build an /etc/hosts line: IPv4 or IPv6 + canonical hostname + optional aliases. Basic IP and hostname validation (RFC 1123). Supports multiple aliases and a full /etc/hosts block (generates all lines).
POSIX/Linux errno Code Lookup
Look up POSIX/Linux errno codes by number (e.g. 2), name (ENOENT, EAGAIN) or message ("Permission denied"). Covers 70+ entries with the kernel's default message — handy for debugging syscalls and I/O logs.
Linux Signal Explainer (SIGTERM, SIGKILL)
Identify a POSIX/Linux signal by number (9, 15), name (SIGKILL, SIGTERM) or exit code (137=128+9). Shows default action (Term/Core/Stop/Cont/Ign) and whether it's catchable — the basis to understand 'kill -9' and process exit statuses.
Unicode Escape / Unescape (\uXXXX)
Convert text into Unicode escape sequences (\uXXXX) and decode escaped sequences back into text. Useful for embedding special characters in JavaScript, JSON or Java code and for inspecting escaped strings.
CRC-16 Checksum Calculator
Compute the CRC-16 checksum of text or hex bytes using the most common variants: CRC-16/CCITT-FALSE, CRC-16/MODBUS, CRC-16/XMODEM and CRC-16/ARC. Shows the result in hexadecimal and decimal.
Gantt Chart Generator (Mermaid)
Build the syntax of a Gantt chart in Mermaid format from sections and tasks with dates and durations. Paste the code into Mermaid Live, GitHub, Notion or Obsidian to render your project timeline.
State Diagram Generator (Mermaid)
Build the syntax of a state machine diagram (stateDiagram-v2) in Mermaid format from transitions like 'State A --> State B : event'. Paste the code into Mermaid Live, GitHub, Notion or Obsidian to render.
Pie Chart Generator (Mermaid)
Build the syntax of a pie chart in Mermaid format from labels and values. Slices and percentages are computed automatically when rendered in Mermaid Live, GitHub or Notion.
Mindmap Generator (Mermaid)
Build the syntax of a Mermaid mindmap from space-indented topics. Each indentation level becomes a branch. Paste the code into Mermaid Live, Obsidian or GitHub to render.
User Journey Generator (Mermaid)
Build the syntax of a Mermaid user journey diagram from sections, tasks and satisfaction scores (1 to 5). Ideal for mapping user experience across products and services.
Timeline Generator (Mermaid)
Build the syntax of a Mermaid timeline from periods and events. Use it for roadmaps, histories and chronologies. Paste the code into Mermaid Live, GitHub or Notion to render.
Quadrant Chart Generator (Mermaid)
Build the syntax of a Mermaid quadrantChart with axis titles, the four quadrant labels and points placed by x,y coordinates between 0 and 1. Useful for prioritization matrices (effort×impact).
Sequence Diagram Generator (PlantUML)
Build the @startuml/@enduml syntax of a PlantUML sequence diagram from messages like 'Actor -> Actor : message'. Paste the code into PlantUML online, IDEs or your docs to render.
ASCII Table Generator
Turn pasted data (CSV or tab-separated) into an ASCII table with box borders (+---+---+ style) and column widths aligned automatically. Great for READMEs, code comments and plain-text emails.
Git Graph Generator (Mermaid)
Build the syntax of a Mermaid gitGraph from commands like commit, branch, checkout and merge, visualizing your Git branch history. Paste the code into Mermaid Live, GitHub or Notion to render.
Sankey Diagram Generator (Mermaid)
Build the syntax of a Sankey diagram (sankey-beta) in Mermaid from flows in Source,Target,value format. Visualize flows of energy, money or users. Paste the code into Mermaid Live to render.
XY Chart Generator (Mermaid)
Build the syntax of a bar or line chart (xychart-beta) in Mermaid from x-axis labels and a value series. Paste the code into Mermaid Live, GitHub or Notion to render the chart.
JSON to JSDoc Converter
Generate a JSDoc type definition (@typedef with @property) from a sample JSON object, inferring each field's type. Paste it into your JavaScript code for editor autocomplete and type checking.
Block Diagram Generator (Mermaid)
Build the syntax of a Mermaid block-beta from blocks and connections, handy for simple architecture and infrastructure diagrams. Paste the code into Mermaid Live, GitHub or Notion to render.
Requirement Diagram Generator (Mermaid)
Build the syntax of a Mermaid requirementDiagram from requirements, elements and relations (satisfies, traces). Useful for systems engineering and traceability. Paste into Mermaid Live to render.
C4 Diagram Generator (Mermaid)
Build the syntax of a Mermaid C4 diagram (C4Context) from people, systems and relations, following the C4 software architecture model. Paste into Mermaid Live to render.
Packet Diagram Generator (Mermaid)
Build the syntax of a Mermaid packet-beta to document the bit layout of a network packet or protocol. Paste into Mermaid Live, GitHub or Notion to render.
IPv6 Expander & Compressor
Expand an abbreviated IPv6 address (2001:db8::1) into the full 8-group form and compress it back into canonical form (RFC 5952). Useful in network configuration, firewalls and logs.
UTF-8 Byte Counter
Show how many bytes a string takes in UTF-8 (not just characters), useful for field limits, database columns, tweets and API payloads. Accented characters and emojis take more than 1 byte.
Autonomous System Number (ASN) Converter
Convert an Autonomous System (AS) number between asplain notation (e.g. 65536) and asdot notation (e.g. 1.0), used in internet BGP routing. Supports 32-bit ASNs.
BCD Codes Converter (8421, Excess-3, Aiken)
Convert a decimal number into the three most common BCD encodings — natural 8421 BCD, Excess-3 (XS-3) and Aiken 2421 — showing the 4 bits of each digit. Used in digital electronics and displays.
7-Segment Display Generator
Draw a number as ASCII art in the style of 7-segment displays (calculators and digital clocks) and show which segments (a–g) light up for each digit. Useful for electronics and Arduino projects.
CRC-8 Calculator
Compute the CRC-8 checksum of text or hex bytes using the most common polynomials: CRC-8/SMBUS (0x07) and CRC-8/MAXIM (Dallas/1-Wire). Shows the result in hexadecimal and decimal. Used in sensors and buses.
Fletcher Checksum Calculator
Compute the Fletcher checksum (Fletcher-16 and Fletcher-32) of text, an error-detection algorithm more robust than a simple sum and faster than CRC. Shows the results in hexadecimal.
Snowflake ID Timestamp Decoder
Extract the creation date and time of a Discord, Twitter/X or Instagram Snowflake ID by decoding the timestamp bits. Pick the platform epoch. Useful for debugging and analysis.
chmod Permissions (Octal ↔ Symbolic) Converter
Convert Unix/Linux file permissions between octal notation (e.g. 755) and symbolic (e.g. rwxr-xr-x) and back. Shows owner, group and others permissions separately.
MongoDB ObjectId Decoder
Extract the creation date embedded in a MongoDB ObjectId (the first 4 bytes are a Unix timestamp). Paste the 24-hex-character ObjectId and see when the document was generated.
Half-Precision Float (FP16 ↔ Hex) Converter
Convert a half-precision floating-point number (FP16, 16-bit IEEE 754) to its 4-digit hexadecimal representation and back. Used in GPUs, machine learning and compact formats.
IPv4 to Reverse DNS (in-addr.arpa) Converter
Generate the reverse DNS name (in-addr.arpa) of an IPv4 address by reversing the octets, and do the reverse. Used in DNS PTR records, email and network diagnostics.
C/JSON String Escape Converter
Escape text to use as a string literal in C, C++, Java, JavaScript or JSON (line breaks become \n, tabs \t, quotes \", etc.) and unescape it back to the original text.
UTF-16 Surrogate Pair Converter
Convert a Unicode code point (e.g. U+1F600) into the UTF-16 surrogate pair (high and low surrogate) used by JavaScript and Java to represent characters outside the BMP, and back.
Base64 Standard ↔ URL-Safe Converter
Convert between standard Base64 (with + / and = padding) and URL-safe Base64 (with - _ and no padding), used in URLs, JWT tokens and file names. Translates the characters without re-encoding the data.
Internet Checksum (RFC 1071) Calculator
Compute the 16-bit one's-complement checksum used in IP, ICMP, TCP and UDP headers (RFC 1071) from hex bytes. It is the one's-complement sum of the 16-bit words, inverted.
LRC (Longitudinal Redundancy Check) Calculator
Compute the 8-bit LRC — the two's complement of the sum of all bytes — used in protocols such as Modbus ASCII. Enter text or hex bytes and see the result in hex and decimal.
XOR (BCC) Checksum Calculator
Compute the XOR checksum (Block Check Character, BCC) — the exclusive-or of all bytes — used in NMEA (GPS), Modbus and serial protocols. Accepts text or hex bytes.
Parity Bit Calculator
Compute the parity bit (even or odd) of a bit sequence by counting the 1s. Even parity makes the total number of 1s even; odd parity makes it odd. Used in serial communication and memory.