KaTeX Math Demo

Sep 17, 2025

By Goosequill

1 minute read

Table of Contents

This post is a quick demo to verify that KaTeX rendering works correctly.

Inline math

Einstein’s mass-energy equivalence: $E = mc^2$ .

For $a \ne 0$ , the quadratic equation $ax^2 + bx + c = 0$ has solutions $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ .

The Gaussian summation formula:

\sum_{i=1}^{n} i = \frac{n(n+1)}{2}

Euler’s identity:

e^{i\pi} + 1 = 0

A = \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}

f(x) = \begin{cases} x^2, & x \ge 0 \\ -x, & x < 0 \end{cases}

\int_0^1 x^2\,dx = \frac{1}{3}

\lim_{x \to 0} \frac{\sin x}{x} = 1