Science & Education
F = |q|·v·B·sinθ on a moving charge, with charge units down to elementary charges, speed and field selectors, and the v × B direction flipped for negative charges.
magnetic-force-chargeScience & Education
γ = 1/√(1−v²/c²) with 1/γ, βγ, and √(1−β²) for any subluminal speed — the single number behind all of special relativity.
lorentz-factor-calculatorScience & Education
M = 250/f for magnifiers, (L/f_o)·(250/f_e) factorized for microscopes, f_o/f_e for telescopes.
magnification-powerMath & Numbers
a⁻¹ mod m via extended Euclid with Bézout coefficients, an optional step table, and an a × a⁻¹ ≡ 1 (mod m) verification; RSA-sized inputs supported.
modular-inverse-calculatorMath & Numbers
Exact BigInt modular arithmetic for values up to 10¹⁸: (a ± b) mod m, (a × b) mod m, a⁻¹ mod m via extended Euclid, and aᵇ mod m via fast exponentiation.
modulo-arithmetic-converterData Analysis
Friedman and Iman-Davenport tests with exact p-values, average ranks, the Nemenyi critical difference and the classic CD diagram with cliques — plus an optional Bonferroni-Dunn overlay against a control model.
nemenyi-critical-difference-friedman-rank-plotterDocument Tools
Extract the PDF text layer with geometry (lines by y-position, tables by column gaps, headings by font size, colon key-value pairs), then fill a user-supplied JSON Schema field by field — labels matched by normalized keys, values coerced to declared types and validated with ajv.
ocr-pdf-to-structured-json-bridgeSecurity
Generate ML-KEM-512/768/1024 (FIPS 203 / CRYSTALS-Kyber) keypairs, encapsulate a random shared secret against the public key, decapsulate it with the private key, and verify both sides match — with the exact wire sizes of all three parameter sets checked live against the standard.
ml-kem-kyber-keypair-and-encapsulation-testerFormat Conversion
Bidirectional converter between GitHub-Flavored Markdown and AsciiDoc — headings, tables, code blocks, admonitions, links, task lists and more, with side-by-side output and conversion notes.
markdown-asciidoc-converterEducation
Solve A, ε, c or l from the Beer-Lambert law A = ε·c·l, with M/mM/µM/nM and cm/mm unit support.
molar-extinction-coefficientScience & Education
Predict characteristic ¹H / ¹³C NMR shifts and IR bands from the functional groups you select — annotated simulated spectrum, carbonyl discrimination table, every peak explained.
nmr-ir-peak-predictorHealth
Convert molar ↔ mass concentration (mmol/L, µmol/L, mol/L ↔ g/L, mg/L, mg/mL, mg/dL, µg/mL) from a molecular weight; returns every unit at once. Not medical advice.
molar-to-mass-concentration