This post demonstrates the mathematical typesetting capabilities of our Hugo site using KaTeX.

Inline Mathematics

You can include inline mathematical expressions like $\alpha + \beta = \gamma$ directly within your text. This makes it easy to discuss mathematical concepts naturally.

Display Mathematics

For more complex expressions, you can use display mode:

$$\frac{d}{dx}\left( \int_{0}^{x} f(u) \, du\right) = f(x)$$

Complex Equations

Here’s a more complex example showing the Schrödinger equation:

$$i\hbar\frac{\partial}{\partial t} \Psi(\mathbf{r},t) = \hat{H} \Psi(\mathbf{r},t)$$

Matrix Notation

KaTeX also supports matrices and other advanced mathematical notation:

$$\begin{pmatrix} a & b
c & d \end{pmatrix} \begin{pmatrix} x
y

\end{pmatrix}

\begin{pmatrix} ax + by
cx + dy \end{pmatrix}$$

The integration of KaTeX makes this Hugo site perfect for technical blogs, academic content, or any site that needs to display mathematical expressions clearly and beautifully.