Math & Numbers

Calculate Poisson's ratio ν = −ε_transverse / ε_longitudinal and solve any of the three unknowns: ratio, lateral strain, or longitudinal strain. Tensile ε_long > 0 produces lateral contraction ε_lat < 0. Typical values: steel ≈ 0.30, aluminum ≈ 0.33, rubber ≈ 0.49, cork ≈ 0. Theoretical isotropic range 0 ≤ ν ≤ 0.5.

Math & Numbers

Compute the Darcy friction factor: laminar closed-form f=64/Re for Re<2000, or iterative Colebrook-White solution for transitional/turbulent flow, with the explicit Haaland approximation always returned as a cross-check. Reports relative roughness ε/D, absolute roughness (m), diameter (m), flow regime (laminar/transitional/turbulent), effective method and iteration count. Roughness ε in m/mm/µm, diameter D in m/cm/mm.

Math & Numbers

Compute the Darcy-Weisbach major (friction) pressure drop in a straight pipe: ΔP = f·(L/D)·(ρ·v²/2) Pa and head loss h_f = f·(L/D)·v²/(2g) m. The user supplies the Darcy friction factor f (not the Fanning factor). Length in m/km/ft, diameter in m/cm/mm/inch, density in kg/m³/g/cm³/lb/ft³ — all normalised to SI internally. Returns ΔP in Pa, kPa and bar, and head loss in m and ft. Gravity defaults to 9.81 m/s² and may be overridden.

Media

Store PNG pixels as true 16-bit-per-channel grayscale, 48-bit RGB, or 64-bit RGBA PNG.

Math & Numbers

Convert between pH, [H+], pOH and [OH-], or compute pH from a strong acid/base concentration, including dilution.

Security

Generate, validate and verify OAuth2 / OIDC PKCE (RFC 7636) code_verifier and S256 code_challenge pairs. Three modes: (1) generate a fresh verifier + challenge from cryptographically secure random bytes at 256/384/512/768-bit entropy, (2) audit a verifier you already have against the RFC — length (43–128), charset [A-Za-z0-9-._~] and ≥256-bit entropy, and (3) verify a verifier/challenge pair by recomputing BASE64URL(SHA256(verifier)). Optionally build the full authorization-request URL and token-exchange body. Complements the generic nonce-generator (which only emits a verifier+challenge pair) with RFC-compliance auditing and pair verification.

Text Processing

Convert English text to and from Pig Latin. Handles consonant clusters, vowel words, QU units, and capitalization.

Math & Numbers

Calculate buffer solution pH with the Henderson-Hasselbalch equation, or find the acid/base ratio needed for a target pH.

AI Tools

Use MiniMax M3 vision to recognize a table from a PNG screenshot and export the reconstructed grid to Excel

Science & Education

Solve 1D constant-acceleration kinematics problems and 2D projectile motion, with a full step-by-step derivation. Enter any 3 of the 5 quantities (displacement, initial velocity, final velocity, acceleration, time) and the solver finds the other two, showing each formula, the substitution, and the result. For projectiles, enter launch speed/angle/height to get range, time of flight, and max height.

Games

Simulate Texas Hold'em equity against random opponents, estimate win and tie rates, and list next-card improvement outs

Science & Education

Explore a clickable periodic table with live element details, color modes, and linked electron configuration data