Markdown or Asciidoctor with Latex

Introduction

In this post, I would like to present how LaTeX can be used with Asciidoctor and displayed on a statically generated webpage.

For a basic LaTeX or TeX logo:

$$ \LaTeX \ \TeX $$

KaTeX can be used to generate complex math formulas. It supports in-line math using the \\( ... \\) delimiters, like this: \\( E = mc^2 \\). By default, it does not support in-line delimiters $...$ because those occur too commonly in typical webpages. It supports displayed math using the $$ or \\[...\\] delimiters, like this:

Formula 1:

$$ \phi = \frac{(1+\sqrt{5})}{2} = 1.6180339887\cdots $$

Number Theory

The equation \( a^2 + b^2 = c^2 \) has infinitely many non-proportional integer solutions. The integer solutions of the equation

$$ a^3 + b^3 = c^3 $$

are trivial: at least one entry is zero and the others are “obvious.”

Calculus

A definite integral:

$$ \int_0^1 x^n dx = \frac{1}{n} $$

The fundamental theorem of calculus:

$$ \frac{d}{dx} \int_a^x f(t) dt = f(x) $$

Linear Algebra

A matrix:

$$ M = \left[ \begin{array}{ c c } 1 & 2 \ 3 & 4 \end{array} \right] $$