LaTeX math in Markdown to PDF
Math is written in LaTeX notation between dollar signs and typeset natively, as sharp vector glyphs, not as pictures of formulas.
Math in LaTeX notation, set as vector glyphs: fractions, radicals, matrices, aligned derivations and the formulas of whole disciplines, inline or on their own line (toggle: math).
LaTeX math, inline & display
$...$ inline and $...$ display math set as vector glyphs: fractions, radicals, sums, integrals, Greek letters, accents and styled alphabets. Toggle: math.
Matrices, cases, alignment & arrays
pmatrix, bmatrix and vmatrix, piecewise cases, aligned derivations, ruled arrays, growing delimiters, braces under and over terms, and boxed results. Toggle: math.
Physics: field equations
Maxwell's equations aligned, the Schrödinger and Dirac equations, the Einstein field equations, Navier-Stokes, a Lorentz boost as a matrix, and Planck's law. Toggle: math.
Statistics & machine learning
Bayes' theorem, the normal density, estimators and confidence intervals, covariance matrices, softmax, attention, cross-entropy loss and gradient descent. Toggle: math.
Analysis & number theory
Limits with epsilon and delta, Taylor and Fourier series, the Fourier and Laplace transforms, Cauchy's integral formula, the zeta function as an Euler product, Stirling and Ramanujan. Toggle: math.
Engineering & finance
Transfer functions, the Nyquist criterion, Ohm and Kirchhoff, beam deflection and Reynolds number, then compound interest, annuities, net present value and the Black-Scholes model. Toggle: math.
Chemistry & life sciences
Reaction equations and equilibria, the Arrhenius and Nernst equations, pH and buffers, Michaelis-Menten kinetics, radioactive decay, the ideal gas law and Beer-Lambert. Toggle: math.
A problem sheet, math inside prose
A university problem set: formulas in headings, list items, table cells, quotes and footnotes, a worked solution as an aligned derivation, and a boxed answer. Toggle: math.
The sample documents describe invented organizations in several countries. All names and figures are illustrative.