quartz-research-note/docs/features/Latex.md

title	tags
LaTeX	feature/transformer

Quartz uses Katex by default to typeset both inline and block math expressions at build time.

Syntax

Block Math

Block math can be rendered by delimiting math expression with $$.

$$
f(x) = \int_{-\infty}^\infty
    f\hat(\xi),e^{2 \pi i \xi x}
    \,d\xi
$$

f(x) = \int_{-\infty}^\infty
    f\hat(\xi),e^{2 \pi i \xi x}
    \,d\xi

\begin{aligned}
a &= b + c \\ &= e + f \\
\end{aligned}

\begin{bmatrix}
1 & 2 & 3 \\
a & b & c
\end{bmatrix}

\begin{array}{rll}
E \psi &= H\psi & \text{Expanding the Hamiltonian Operator} \\
&= -\frac{\hbar^2}{2m}\frac{\partial^2}{\partial x^2} \psi + \frac{1}{2}m\omega x^2 \psi & \text{Using the ansatz $\psi(x) = e^{-kx^2}f(x)$, hoping to cancel the $x^2$ term} \\
&= -\frac{\hbar^2}{2m} [4k^2x^2f(x)+2(-2kx)f'(x) + f''(x)]e^{-kx^2} + \frac{1}{2}m\omega x^2 f(x)e^{-kx^2} &\text{Removing the $e^{-kx^2}$ term from both sides} \\
& \Downarrow \\
Ef(x) &= -\frac{\hbar^2}{2m} [4k^2x^2f(x)-4kxf'(x) + f''(x)] + \frac{1}{2}m\omega x^2 f(x) & \text{Choosing $k=\frac{im}{2}\sqrt{\frac{\omega}{\hbar}}$ to cancel the $x^2$ term, via $-\frac{\hbar^2}{2m}4k^2=\frac{1}{2}m \omega$} \\
&= -\frac{\hbar^2}{2m} [-4kxf'(x) + f''(x)] \\
\end{array}

[!warn] Due to limitations in the underlying parsing library, block math in Quartz requires the $$ delimiters to be on newlines like above.

Inline Math

Similarly, inline math can be rendered by delimiting math expression with a single $. For example, $e^{i\pi} = -1$ produces e^{i\pi} = -1

Escaping symbols

There will be cases where you may have more than one $ in a paragraph at once which may accidentally trigger MathJax/Katex.

To get around this, you can escape the dollar sign by doing \$ instead.

For example:

• Incorrect: I have $1 and you have $2 produces I have $1 and you have $2
• Correct: I have \$1 and you have \$2 produces I have $1 and you have $2

Using mhchem

Add the following import to the top of quartz/plugins/transformers/latex.ts (before all the other imports):

import "katex/contrib/mhchem"

Customization

Latex parsing is a functionality of the plugins/Latex plugin. See the plugin page for customization options.