ING-00 · INDEX
Independent laboratory of governing equations.
Each sheet is a lecture: the equation, a film, a live model, a calculator, and the derivation — in English, Arabic, French and Spanish.
1009 equations · 35 Laboratories · SI
Pick two or more elements of nature. INGENIA predicts the compounds they form and writes the balanced chemical equations.
Open the periodic table
Sketch any curve with your finger or pointer. Choose how many points reconstruct the curve — from 100 to one billion — then the bench fits a governing equation and writes it in mathematical notation.
Open the drawing bench
Six CEFR levels. Stories of 200+ words you can hear: tap a word for Arabic above it and English spoken, play the text, set speed, repeat each sentence up to five times. Grammar, vocabulary and spelling at every level.
Open the English laboratory
Complete Python and MATLAB lessons from first print() to clinical discipline, plus the programs a medical physicist actually runs, and a sandbox to practise.
Open the software laboratory
A free PDF shelf for each laboratory, and a visual shelf of teaching YouTube channels — OpenStax, IAEA, MIT OCW, LibreTexts, USACE, FHWA. Every link is the official source; download the PDF from the publisher page.
Open the free library
Newton, energy, momentum, rotation, oscillations, Kepler and the ballistic trajectory.
27 equations
Coulomb, Gauss, Biot–Savart, Faraday, Poynting, RLC and the electromagnetic wave.
26 equations
Schrödinger, de Broglie, photoelectric, Bohr, Heisenberg, tunneling and spin.
26 equations
Decay, binding energy, Q-value, fission, fusion, Compton and Bethe–Bloch.
27 equations
Rydberg, Bohr, selection rules, fine structure, Zeeman and Stern–Gerlach.
36 equations
Beer, Compton, Klein–Nishina, Bragg–Gray, KERMA and stopping power.
34 equations
LQ, BED, TMR, equivalent square, Clarkson scatter and MU calculation.
32 equations
Larmor, SNR, CT dose, Beer projection, Nyquist and modulation transfer.
33 equations
MIRD, decay in vivo, uptake, PET coincidence and well-counter geometry.
36 equations
Inverse square, half-value layer, ICRP weighting, ALARA snapshot.
41 equations
Manning, Darcy–Weisbach, weirs, hydraulic jump and gradually varied flow.
Greenshields, stopping sight distance, AASHTO equivalent axle and rail cant.
Bowditch, stadia, GPS PDOP, map scale and error propagation.
Shaft torsion, Soderberg, Hertz contact, heat engines and bearings.
Ohm, Kirchhoff, RLC, transformers, skin effect and three-phase power.
Streeter–Phelps, settling, ADM1 snapshot, Guldberg–Waage kinetics.
Hooke, Hall–Petch, Arrhenius, Paris law and the lever rule.
CSTR, PFR, Arrhenius, McCabe–Thiele snapshot and NTU heat exchangers.
First law, Carnot, Clausius, van der Waals, Antoine and Gibbs.
d'Alembert, Snell, thin lens, Doppler, impedance and Bragg.
Lorentz, E=mc², gravitational time dilation, Schwarzschild and Hawking T.
Bernoulli, Navier–Stokes snapshot, Reynolds, Stokes drag and Strouhal.
Drude, Bloch, BCS snapshot, Wiedemann–Franz and phonon heat.
Hubble, Jeans, Eddington, Bondi accretion and the Stefan–Boltzmann star.
Determinant, eigenvalues, least squares, Cayley–Hamilton and projectors.
Exponential decay, harmonic oscillator, SIR, Lotka–Volterra and Bessel.
Pythagoras, Heron, spherical cosine, sphere volume and Stewart.
Binomial, Poisson, Gaussian, Bayes, entropy and the standard error.