Media
Turn a field recording into one seamless loop for games, meditation apps, or video background beds — quiet-seam placement, long equal-power crossfade, optional high-pass.
audio-seamless-ambience-loopMedia
Apply EDM-style tempo-synced pumping ducking to any audio without a kick-drum sidechain file — volume-envelope automation in the style of LFO Tool / Kickstart.
audio-sidechain-pump-generatorMath & Numbers
Enumerate primes up to 10⁷ (or within [m, n]) with the classic sieve; shows base primes, crossing-out operations, exact counts, and up to 200 primes.
sieve-of-eratosthenesMath & Numbers
Textbook Hungarian algorithm for 2–8 × 2–8 assignment problems: row/column reductions, augmenting-path zero matching, König line covers, and substitution-verified optimal assignments.
assignment-problem-solverMath & Numbers
Activity-on-node CPM: ES/EF/LS/LF, total float, project duration, and every critical path; cycles and unknown predecessors are rejected.
critical-path-methodMath & Numbers
Two-person zero-sum games: saddle-point test first, then mixed strategies from a single-phase simplex LP with dual shadow prices, verified by security-level checks.
game-theory-zero-sumMath & Numbers
Dijkstra with a full per-iteration trace: settled nodes, relaxations, distance table, and the final path; undirected or directed, negative weights rejected, unreachable targets reported.
graph-shortest-pathHealth
Pick one of eight bench buffer systems, enter target pH, concentration and volume, and get the Henderson-Hasselbalch acid/salt split with weighable masses, temperature-corrected pKa, buffer capacity and ionic-strength estimate.
henderson-hasselbalch-buffer-recipe-concentration-tableMath & Numbers
Minimal SOP via Quine–McCluskey with essential prime implicants, exact minimum cover, Gray-coded Karnaugh map, and full-assignment verification.
boolean-algebra-simplifierNetwork
Parse a raw HTTP request or curl command, estimate client↔server clock skew from the response Date header (NTP-style midpoint formula), inspect timestamp credentials (X-Amz-Date, x-ms-date, X-Timestamp, JWT iat/nbf), replay with ±skew offsets and diff the results against real tolerance windows (AWS SigV4 ±15 min, Azure, OAuth, JWT leeway).
request-replay-clock-skew-correction-distributed-systemsDevelopment
Build complete <picture> markup with art-directed crops: per-breakpoint <source media> elements, 1x/2x density candidates or {w}-template width descriptors, optional AVIF/WebP format layers, sizes handling, CLS-safe width/height, plus HTML and JSX flavors with spec-based lint notes.
responsive-picture-srcset-art-direction-builderMath & Numbers
Numeric convergence tests for Σ aₙ: nth-term, ratio, root, p-series comparison, and integral test; alternating series classified by Leibniz with a sum estimate.
series-convergence-tester