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Browse the tool catalog | Page 93

Search and filter the online tool directory by task, format, and category, then open detailed pages with clear inputs, examples, and execution context. Page 93.

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Math & Numbers

Quadratic Residue Checker (Legendre / Jacobi Symbol)

Jacobi/Legendre symbol with deterministic Miller–Rabin primality, Tonelli–Shanks square roots for prime moduli, and brute-force resolution for small composite moduli.

Data Analysis

Nemenyi Critical-Difference & Friedman Rank Plotter

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.

Math & Numbers

M/M/1 Queue Calculator (L, Lq, W, Wq)

Steady-state M/M/1 metrics: ρ, P0, L, Lq, W, Wq, state probabilities, and Little's-law cross-checks; unstable λ ≥ μ inputs are rejected.

Math & Numbers

M/M/c Multi-Server Queue Calculator

Steady-state M/M/c metrics with the Erlang-C formula: offered load, P0, Pw, Lq, L, W, Wq plus Little's-law cross-checks; unstable λ ≥ cμ inputs are rejected.

Document Tools

OCR PDF to Structured JSON Bridge

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.

Math & Numbers

Newton-Raphson Root Finder

Newton-Raphson iteration for f(x) = 0 with analytic or numeric derivative, full iteration table, and explicit convergence/divergence reporting.

Math & Numbers

Numerical Differentiation Calculator (f′(x))

Forward, backward, and central finite differences for f′(x₀) plus the central second derivative, with optional per-method error against the exact derivative.

Math & Numbers

Recipe Ingredient Scaler

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.

Science & Education

NMR / IR Spectroscopy Peak Predictor

Predict characteristic ¹H / ¹³C NMR shifts and IR bands from the functional groups you select — annotated simulated spectrum, carbonyl discrimination table, every peak explained.

Health

Population/Resource Doubling Time (Rule of 70)

Doubling/halving time from a periodic growth rate: rule-of-70/72/69.3 estimate vs exact discrete and continuous times, with a milestone table.

Education

Peptide Mass Calculator (Monoisotopic/Average)

Sums ProtParam residue masses for a peptide sequence (mono or average) and reports M, [M+H]⁺, [M+Na]⁺, [M+2H]²⁺. Educational use only.

Education

Protein Concentration Converter (mg/mL ↔ µM ↔ %)

One-step protein unit conversion across mg/mL, µg/mL, g/L, % w/v, µM, nM, mM, and pmol/µL via molecular weight, with bench landmarks. Educational use only.