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simpler katex fix

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This commit is contained in:
Jacky Zhao 2024-03-24 15:50:38 -07:00
parent 8437d9da72
commit 0a2b52f618
2 changed files with 12 additions and 8 deletions
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11
docs/features/Latex.md
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@ -39,6 +39,17 @@ 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}
$$
> [!warn]
> Due to limitations in the [underlying parsing library](https://github.com/remarkjs/remark-math), block math in Quartz requires the `$$` delimiters to be on newlines like above.

9
quartz/styles/base.scss
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@ -516,12 +516,5 @@ ol.overflow {
.katex-display {
overflow-x: auto;
overflow-y: visible;
& > .katex .katex-html {
.base,
.strut {
display: inline;
}
}
overflow-y: hidden;
}