KaTeX Math Test Page

KaTeX Math Test Page

This page demonstrates the mathematical formula rendering capabilities of KaTeX.

Inline Math

You can write inline math using single dollar signs: $E = mc^2$

Or using LaTeX delimiters: \( \int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi} \)

Block Math

For larger equations, use double dollar signs:

$$ \frac{\partial u}{\partial t} = h^2 \left( \frac{\partial^2 u}{\partial x^2} + \frac{\partial^2 u}{\partial y^2} + \frac{\partial^2 u}{\partial z^2} \right) $$

Or using LaTeX display mode:

\[ \sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6} \]

Chemical Equations

KaTeX can also render chemical equations:

$$ 2H_2 + O_2 \rightarrow 2H_2O $$$$ CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O $$

Complex Mathematical Expressions

$$ \begin{align} \nabla \cdot \vec{E} &= \frac{\rho}{\epsilon_0} \\ \nabla \cdot \vec{B} &= 0 \\ \nabla \times \vec{E} &= -\frac{\partial \vec{B}}{\partial t} \\ \nabla \times \vec{B} &= \mu_0 \vec{J} + \mu_0 \epsilon_0 \frac{\partial \vec{E}}{\partial t} \end{align} $$

Matrix Notation

$$ \begin{pmatrix} a & b \\ c & d \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} ax + by \\ cx + dy \end{pmatrix} $$

This demonstrates that KaTeX is working correctly on your KintaroAI documentation site!

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