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© 2026 Elysia Tools. Developer documentation.

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Marathon Time Predictor

json

Sports

Predict marathon finish time based on recent race performance using running formulas

marathon-time

Liter to Cup

json

Math & Numbers

Convert liters to US cups with configurable decimal precision

liter-to-cup

Liter to Pint

json

Math & Numbers

Convert liters to US liquid pints with configurable decimal precision

liter-to-pint

Liter to Quart

json

Math & Numbers

Convert liters to US liquid quarts with configurable decimal precision

liter-to-quart

Liter to Gallon

json

Math & Numbers

Convert liters to US liquid gallons with configurable decimal precision

liter-to-gallon

Key Matcher

file

Media

Detect a sample or loop key (Krumhansl-Schmuckler chroma) and transpose it to your project key — with the output key re-verified after shifting.

key-matcher

Kakuro / Fillomino / Masyu / Yajilin / Hashiwokakero / Nurikabe / Slitherlink / Star Battle Puzzle Generator with Uniqueness Prover

html

Games

Deterministically seeded generator for eight Nikoli logic-puzzle families — each board is grown solution-first, rendered as puzzle + solution SVGs, and verified by an exhaustive backtracking solver that counts solutions to two, so “unique” is a proof (and an exhausted budget is reported as unproven, never guessed).

kakuro-fillomino-masyu-yajilin-hashiwokakero-nurikabe-slitherlink-and-star-battle-puzzle-generator-with-uniqueness-prover

KDB+ q SQL Vector Expression Parse Tree Explainer

html

Data Visualization

Parse q expressions and q-sql queries into an annotated tree showing right-to-left evaluation order, token classes, the functional select form and splayed-column attributes.

kdb-plus-q-sql-vector-expression-parse-tree-explainer

Kohlrausch Law Calculator

text

Science & Education

Λ°m = ν₊λ°₊ + ν₋λ°₋ from the limiting ionic conductivity table, with ion shares as transport numbers.

kohlrausch-law

LC Oscillation Frequency Calculator

text

Science & Education

LC tank resonance f = 1/(2π√(LC)) with inductance and capacitance selectors, plus ω, period, and characteristic impedance √(L/C).

lc-oscillation-frequency

Length Contraction Calculator

text

Science & Education

L = L₀/γ for any subluminal speed: contracted length, contraction percentage, and the transverse-invariance note — muon-atmosphere companion included.

length-contraction-calculator

Lens Maker Equation Calculator

text

Science & Education

1/f = (n−1)(1/R₁ − 1/R₂) with diopters, focal length, and converging/diverging classification; R = 0 marks a plano surface.

lens-maker-equation
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