One can use $\LaTeX$ in Jekyll like $\vec{\omega}=\nabla \times \vec{u}$.
Configuration
- Add the following lines in
_includes/head.html.
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<script type="text/x-mathjax-config">
MathJax.Hub.Config({
tex2jax: {
skipTags: ['script', 'noscript', 'style', 'textarea', 'pre', 'code'],
inlineMath: [['$','$'], ['\\(','\\)']],
processEscapes: true
},
TeX: {
equationNumbers: {
autoNumber: "AMS"
}
}
});
</script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML" type="text/javascript"></script>
Examples
E.g.
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$$
\begin{aligned}
\phi(x,y) &= \phi \left(\sum_{i=1}^n x_ie_i, \sum_{j=1}^n y_je_j \right)
= \sum_{i=1}^n \sum_{j=1}^n x_i y_j \phi(e_i, e_j) \\
&= (x_1, \ldots, x_n) \left( \begin{array}{ccc}
\phi(e_1, e_1) & \cdots & \phi(e_1, e_n) \\
\vdots & \ddots & \vdots \\
\phi(e_n, e_1) & \cdots & \phi(e_n, e_n)
\end{array} \right)
\left( \begin{array}{c}
y_1 \\
\vdots \\
y_n
\end{array} \right)
\end{aligned}
$$
E.g. Maxwell’s equations
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$$
\begin{align}
\nabla\times\vec{\mathbf{B}}-\frac{1}{c}\frac{\partial\vec{\mathbf{E}}}{\partial t} &= \frac{4\pi}{c}\vec{\mathbf{j}} \\
\nabla\cdot\vec{\mathbf{E}} &= 4\pi\rho \\
\nabla\times\vec{\mathbf{E}}+\frac{1}{c}\frac{\partial\vec{\mathbf{B}}}{\partial t} &= \vec{\mathbf{0}} \\
\nabla\cdot\vec{\mathbf{B}} &= 0
\end{align}
$$
E.g.- Lorentz system (no numbering)
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$$
\begin{align*}
\dot{x} &= \sigma(y - x) \\
\dot{y} &= \rho x - y - xz \\
\dot{z} &= -\beta z + xy
\end{align*}
$$