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Tools and resources for learning and practice.

Approximation

Vertex-Cover 2-Approximation Demonstrator Build a maximal matching and select both endpoints to obtain an unweighted vertex cover with a factor-2 guarantee.

Arithmetic

Absolute Difference Calculator Calculate the nonnegative absolute difference between two finite numbers.
Absolute Value Calculator Calculate the nonnegative absolute value of a finite number.
Add N Numbers Add a comma- or line-separated list of numbers.
Add Two Numbers Calculator Add two finite numbers.
Ceiling to Multiple Calculator Round a finite number upward to the nearest multiple.
Clamp Number to Range Clamp a finite number to inclusive lower and upper bounds.
Cube Calculator Calculate the cube of a finite number.
Divide Two Numbers Calculator Divide one finite number by another nonzero number.
Division with Remainder Calculator Calculate an integer quotient and remainder using truncating division.
Floor to Multiple Calculator Round a finite number downward to the nearest multiple.
Fractional and Integer Parts Calculator Split a finite number into truncating integer and signed fractional parts.
Multiply N Numbers Multiply a comma- or line-separated list of numbers.
Multiply Two Numbers Calculator Multiply two finite numbers.
Nth Root Calculator Calculate square roots, cube roots, and other principal real nth roots.
Positive Modulo Calculator Calculate a normalized nonnegative modulo result.
Power Calculator Raise a finite base to a finite exponent.
Reciprocal Calculator Calculate the multiplicative inverse of a nonzero finite number.
Round to Multiple Calculator Round a finite number to the nearest multiple.
Sign of Number Calculator Return minus one, zero, or one for a finite number.
Square Calculator Calculate the square of a finite number.
Subtract N Numbers Subtract each subsequent number from the first number.
Subtract Two Numbers Calculator Subtract the second finite number from the first.
Sum Calculator Calculate the sum of a comma- or line-separated list of values.

Cheatsheets

Clustering

Combinatorics

Convert

Data Analysis

Archetypal Analysis Demonstrator Approximate multivariate observations as convex mixtures of archetypes that are themselves mixtures of the observations.

Data Structure

Bloom Filter Calculator Build a deterministic Bloom filter, test an item, and estimate its false-positive probability.

Date

Diagram

Dictionary

Translate a Word Translate an English word into German, French, or Japanese using a locally cached, attributed starter dictionary.

Distance

Document

LaTeX as Document Wrap LaTeX equation markup in a structured Tool.io document.

Electricity

Estimation

Particle Filter Estimator Estimate a one-dimensional hidden state with a reproducible bootstrap particle filter.

Game Search

Game Theory

Best-Response Dynamics Demonstrator Iteratively update two pure strategies to deterministic best responses and expose equilibria or cycles.

Geometry

Graph

Information

Interpolation

Lighting

List

Machine Learning

Math

Matrix

Neural Network

Feedforward Neural Network Demonstrator Run one dense neural-network layer with selectable activation entirely in the browser.

Normalize

Number

Online Algorithm

Online Ski-Rental Algorithm Demonstrator Compare a deterministic online rent-or-buy strategy with the optimal decision made in hindsight.

Optimization

Parse

Pathfinding

A* Pathfinding Visualizer Find and inspect a shortest path through a JSON grid using A* search.

Periodic Table

Physics

Average Speed Calculator Calculate average speed from total distance and elapsed time.

Probability

Proportions

Random

Random Word Generator Pick a random English, German, French, or Japanese word from the attributed offline starter dictionary.

References

Regression

Ridge Regression Demonstrator Fit a one-feature ridge regression with an unpenalized intercept.

Reinforcement Learning

Render

Code Renderer Edit highlighted HTML, CSS, and JavaScript examples and render the result locally in a sandboxed live preview.

Repl

SQLite REPL Run SQLite commands locally in your browser with tabular results and a database that persists for the current session.

Roadmap

Search

Beam Search Visualizer Expand a scored tree breadth-first while retaining only the highest-scoring paths at each depth.

Sequence

Set

Similarity

Statistics

Stochastic Process

Tax

Progressive Tax Calculator Calculate marginal tax bands, total tax, and effective and marginal rates from an explicit bracket schedule.

Text

Thesaurus

Tools

Vector

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