Math & Numbers

Rescale any recipe's ingredient list to a new serving count, converting cups/tbsp/tsp ⇄ grams/ml with per-ingredient densities and kitchen-friendly fraction output.

Math & Numbers

(n−1)! ≡ −1 (mod n) ⟺ n is prime. Exact factorial residue for n ≤ 10⁷, Miller–Rabin cross-check, composite factorial law, optional running-products trace.

Math & Numbers

Compute the discharge over a sharp-crested thin-plate weir. Rectangular (suppressed, no side contraction): Q = (2/3)·C_d·√(2g)·b·H^1.5. V-notch (triangular): Q = (8/15)·C_d·√(2g)·tan(θ/2)·H^2.5. b is the crest width, H the head over the crest (or over the vertex for a V-notch), θ the notch angle. If C_d is left blank it defaults to 0.611 for rectangular weirs (Rehbock/Francis typical value) and 0.58 for V-notch weirs. Crest width in m/cm, head in m/cm/mm; output in m³/s, L/s, L/min and m³/h.

Math & Numbers

Calculate the force-amplification ratio and self-locking condition of a wedge mechanism. Ideal M = 1/tan(α), with friction M = 1/tan(α+ρ) where ρ = arctan(μ). Self-locking when α ≤ ρ (i.e. tan(α) ≤ μ).

Math & Numbers

Convert weeks to days with configurable decimal precision

Math & Numbers

Calculate weighted GPA from credits, grades, and course rigor bonuses for honors, AP, or IB classes

Math & Numbers

Run a paired nonparametric Wilcoxon signed-rank test from paired samples or differences

Math & Numbers

Run Welch two-sample t tests for independent groups with unequal variances from raw data or summary statistics

Math & Numbers

Calculate a winsorized mean by capping extreme low and high values before averaging

Math & Numbers

Calculate a weighted average from paired values and weights, with contribution and normalized weight details

Math & Numbers

Convert between different weight units (kilograms, pounds, ounces, grams, etc.)

Date & Time

Calculate work hours using start and end times