Science & Education
E = mc² both ways: mass to rest energy (J, kWh, eV-scale, TNT) and energy to mass (kg, g, u, electron masses).
energy-mass-conversionScience & Education
Trapezoidal ⟨x⟩, ⟨x²⟩, σ_x and ⟨ψ|ψ⟩ = ∫ψ²dx from pasted real ψ(x) samples — inner products for any discretely sampled wavefunction.
expectation-value-calculatorScience & Education
Matter-wave λ = h/p via particle & speed (γmv optional), direct momentum, or electron voltage (relativistic + h/√(2mE) comparison). Units from m to fm/Å with wavelength scale.
de-broglie-wavelengthMath & Numbers
Exact φ(n) from trial-division factorization (n ≤ 10¹²) with optional coprime listing and Euler's theorem recall.
euler-totient-functionMath & Numbers
Convert dilution notations 1:X ↔ 1/X ↔ percent, with dilution factor, parts, and mixing volumes.
dilution-ratio-converterMath & Numbers
Explicit Euler integration for dy/dx = f(x, y): step table, final estimate, and optional exact-solution error column.
euler-method-solverHealth
Balance per-capita consumption categories against biocapacity: Earths demanded, surplus/deficit, and Earth Overshoot Day.
ecological-footprintHealth
Compute the final concentration after multi-step serial dilutions, with per-step folds, cumulative folds, and total dilution factor.
dilution-factor-finalDevelopment
Hadolint-style static analysis for Dockerfiles without a Docker daemon: 30+ rules across image pinning, package-manager hygiene, layer caching, secrets and signal handling, with severities, line numbers and fix examples.
dockerfile-linterEducation
Converts activity values exactly between U/mU/µU and katal/mkat/µkat/nkat/pkat (1 U = 16.67 nkat, 1 kat = 6×10⁷ U). Educational use only.
enzyme-unit-converterEducation
Converts product-amount or ΔA/min assay data into enzyme units: 1 U = 1 µmol/min = 16.67 nkat, with Beer–Lambert absorbance conversion and linear-window checks. Educational use only.
enzyme-activity-unitEducation
kcat/Km in M⁻¹s⁻¹ from direct kcat or from Vmax/[E], with scientific-notation output and bands up to the diffusion-controlled perfection limit. Educational use only.
enzyme-catalytic-efficiency