83 lines
2.3 KiB
Markdown
83 lines
2.3 KiB
Markdown
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---
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title: LaTeX
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tags:
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- feature/transformer
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---
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Quartz uses [Katex](https://katex.org/) by default to typeset both inline and block math expressions at build time.
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## Syntax
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### Block Math
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Block math can be rendered by delimiting math expression with `$$`.
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```
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$$
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f(x) = \int_{-\infty}^\infty
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f\hat(\xi),e^{2 \pi i \xi x}
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\,d\xi
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$$
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```
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$$
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f(x) = \int_{-\infty}^\infty
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f\hat(\xi),e^{2 \pi i \xi x}
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\,d\xi
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$$
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$$
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\begin{aligned}
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a &= b + c \\ &= e + f \\
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\end{aligned}
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$$
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$$
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\begin{bmatrix}
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1 & 2 & 3 \\
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a & b & c
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\end{bmatrix}
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$$
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$$
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\begin{array}{rll}
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E \psi &= H\psi & \text{Expanding the Hamiltonian Operator} \\
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&= -\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} \\
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&= -\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} \\
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& \Downarrow \\
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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 $-\frac{\hbar^2}{2m}4k^2=\frac{1}{2}m \omega$} \\
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&= -\frac{\hbar^2}{2m} [-4kxf'(x) + f''(x)] \\
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\end{array}
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$$
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> [!warn]
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> Due to limitations in the [underlying parsing library](https://github.com/remarkjs/remark-math), block math in Quartz requires the `$$` delimiters to be on newlines like above.
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### Inline Math
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Similarly, inline math can be rendered by delimiting math expression with a single `$`. For example, `$e^{i\pi} = -1$` produces $e^{i\pi} = -1$
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### Escaping symbols
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There will be cases where you may have more than one `$` in a paragraph at once which may accidentally trigger MathJax/Katex.
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To get around this, you can escape the dollar sign by doing `\$` instead.
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For example:
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- Incorrect: `I have $1 and you have $2` produces I have $1 and you have $2
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- Correct: `I have \$1 and you have \$2` produces I have \$1 and you have \$2
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### Using mhchem
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Add the following import to the top of `quartz/plugins/transformers/latex.ts` (before all the other
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imports):
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```ts title="quartz/plugins/transformers/latex.ts"
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import "katex/contrib/mhchem"
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```
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## Customization
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Latex parsing is a functionality of the [[plugins/Latex|Latex]] plugin. See the plugin page for customization options.
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