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A complete derivation of a procedural 3D tunnel renderer and runner game in vanilla JavaScript.

A step-by-step guide to copying a standalone, unencrypted InnoDB file-per-table table between compatible MySQL 8.4 servers.

A parametric SVG generator for curved wooden bottle holders, with adjustable arc endpoints, a removable drill mount, bore guides, and a pointed crescent option formed by intersecting circles.

Codebreaker is a daily browser game similar to Mastermind, built around six progressively harder five-digit code puzzles.

Google Fonts Downloader turns selected families, subsets, styles, and weights into a ready-to-host ZIP archive.

The factorial Diophantine equation A!

A polynomial square root of f is a polynomial g satisfying g squared equals f.

A browser-based FT232RL EEPROM name editor with checksum regeneration, guarded programming, re-enumeration guidance, and an explanation of the other USB, power, and CBUS settings stored in the device.

This historical security analysis reconstructs the four-step MySQL UDF abuse chain that could turn SQL injection or weak database credentials into native code execution.

Milter.js is a TypeScript-first Milter protocol implementation for Node.js with native ESM, CommonJS, and declaration output.

A production-oriented extension for a Postfix and Dovecot mail server that classifies inbound messages with ChatGPT or a local Ollama model.

A complete implementation of offline related-article ranking with PHP and MySQL 8.4.

A practical derivation of a compact 3D engine in which pure quaternions represent points and vectors, unit quaternions control every pose and orbit, and an interactive Canvas stage renders the result.

Quaternion differentiation has three distinct meanings: differentiating a quaternion-valued curve, relating a unit orientation quaternion to physical angular velocity, and differentiating rotation functions with respect to quaternion coordinates.

A rotation is defined by what it preserves, and this chapter follows that definition from the plane into three dimensions.

A calendar-based method for calculating the next birthday in MySQL.

An interactive SVG path visualizer and editor with standard shape presets, command-by-command syntax explanations, synchronized segment highlighting, draggable endpoints, Bezier and elliptical-arc handles, shape-preserving point insertion, undo and redo,…

Adjust width, height, depth, and perspective, drag the preview to rotate it, then inspect generated HTML and CSS or a Trackball.js integration snippet.

A formal introduction to the first fundamental form of a regular parametrized surface.

A planar cubic Bézier spiral is approximated by a G1 sequence of circular arcs using the incenter biarc construction of Walton and Meek.

A cubic Bézier approximation to a function graph is derived from fixed endpoint values and endpoint tangent directions, reducing the fit to two nonnegative handle lengths.

Polynomial Bézier curves cannot represent nondegenerate circles exactly, but symmetric constructions approximate circular arcs with controlled geometric error.

Compare Two Lists is a private browser-based list difference tool for finding items unique to either list, shared entries, and a combined union with flexible separators, cleanup, sorting, and file upload.

Fill the Square is the all-ones variant of Lights Out: touching an LED toggles it and its orthogonal neighbors.

Derives the Cocke-Younger-Kasami algorithm for context-free language recognition from Chomsky normal form, states and proves the dynamic-programming recurrence over the triangular chart of substrings, explains how ambiguity appears as multiple derivations…

This chapter builds Stirling's approximation for the factorial from first principles rather than stating it outright.

This chapter builds the general theory of one-variable polynomials that the quadratic and cubic equation chapters specialize from.

Unit Converter is a single free-text input that parses queries such as "5 km to miles", "3/4 cup to ml", or "98.6f to c" and converts them by finding a path through a graph of unit relationships, composing exact Fraction.js arithmetic (including affine tr…

Board Cutting Optimizer works out exactly which boards to buy and how to cut them so you spend as little money and waste as little material as possible.