Tech Blog

A rigorous treatment of Base64 from first principles: the mathematical basis for the 64-character alphabet (2⁶ = largest power-of-two mapping to printable ASCII), RFC 4648 canonical specification, the BaseN encoding family (Base16 through Base85 with size/alphabet trade-offs), streaming encoder and decoder state machines, MIME line-wrapping rules, PEM format anatomy, constant-time decoding for cryptographic contexts, SIMD-accelerated lookup tables, and production boundary advice for JWTs, data URLs, and HTTP Basic Auth.

Understand Bearer Tokens without confusing the transport scheme with JWT or OAuth. This guide covers issuer, audience, scope and tenant validation, TLS, browser storage and CSRF, refresh-token rotation, revocation, algorithm policy, and framework boundaries.

Choose an online calculator by understanding its formula, units, rounding, and assumptions. This guide covers percentage, tips, compound interest, loans, BMI, body fat, calories, age, dates, GPA, and fractions, with limitations for financial, health, and institutional decisions.

A rigorous guide to character encoding: distinguish code points from bytes, compare ASCII, Unicode, UTF-8 and UTF-16, debug mojibake, escape HTML in the correct context, and convert Unicode text without corrupting non-ASCII characters.

A source-aware guide to evaluating AI design tools in 2026. Separate verified product capabilities from marketing claims, then build auditable workflows for design systems, React code, accessibility, performance, and human review.

A practical guide to formatting JavaScript, CSS, HTML, and XML without confusing style tools with linters or minifiers. Learn parser-aware workflows, team configuration, source-map boundaries, reviewable diffs, and privacy considerations for online formatting.

A rigorous treatment of color conversion: the sRGB transfer function (piecewise gamma, not a simple 2.2 power), CIE XYZ as the Profile Connection Space, the OKLCH perceptually uniform color model, CSS Color Level 4 (color(), oklch(), relative color syntax), Delta E color difference metrics (ΔE76 through ΔE2000), ICC profile architecture and rendering intents, gamut mapping strategies, WCAG contrast on linear luminance, and production conversion code with explicit precision bounds.

Understand RGB, HSL, HSV, HEX, alpha compositing, CSS color syntax, and accessible palette design. This guide adds validated conversion code, color-management limits, semantic tokens, OKLCH context, and privacy guidance for picker workflows.

Design a versioned context architecture for AI coding workflows. This guide separates provider-specific rule files, reusable prompts, MCP tools, retrieval, evaluation, security, precedence, and token budgets without treating any filename as a universal standard.

A practical, version-aware four-layer model for AI context: instructions, knowledge, memory, and orchestration. Learn how to set budgets, route retrieval, compact memory, validate tool output, and measure quality without treating token ratios or model behavior as universal facts.

Write reliable Cron schedules by distinguishing POSIX-style crontab, Quartz, and library-specific dialects. Learn field semantics, day-of-month rules, DST behavior, overlap control, logging, retries, idempotency, and safe validation.

Build reliable Cursor and TRAE coding workflows with version-aware rules, explicit file scope, reviewable plans, tests, and rollback. This guide separates provider features from general Prompt practice and avoids unsupported success-rate claims or hard tool promotion.

Use Data URLs deliberately. This guide covers RFC 2397 syntax, percent and Base64 encoding, MIME and charset handling, opaque origins, CSP and navigation risks, cache trade-offs, size measurement, Blob URLs, and safe browser/server examples.

Calculate days between dates, add or subtract days from a date, and count working days. Covers date math in JavaScript, Python, and Excel with practical examples.

A rigorous introduction to neural networks, automatic differentiation, optimization, CNNs, sequence models, Transformers, generative models, data leakage, regularization, and reproducible evaluation. The guide separates illustrative equations from production decisions and avoids unsupported performance claims.