# Math

Math typesetting examples.

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in the `[options]`

section of `./config/_default/params.toml`

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## Example 1

*Excerpt taken from Supernova Neutrinos*

### Markdown

```
The average energy of the neutrinos $\langle E \rangle$ emitted during a supernova explosion is of the order of 10MeV, and the neutrino luminosity at the early epoch of the explosion is approximately $10^{52}\mathrm{ergs\cdot s^{-1}}$.
Therefore, the number density of the neutrinos at the radius $R$ is
$$
\begin{equation*}
n \sim 10^{18} \mathrm{cm^{-3}} \left(\frac{100\mathrm{km}}{R}\right)^2 \left(\frac{10\mathrm{MeV}}{\langle E \rangle}\right).
\end{equation*}
$$
```

### HTML

The average energy of the neutrinos $\langle E \rangle$ emitted during a supernova explosion is of the order of 10MeV, and the neutrino luminosity at the early epoch of the explosion is approximately $10^{52}\mathrm{ergs\cdot s^{-1}}$. Therefore, the number density of the neutrinos at the radius $R$ is

$$ \begin{equation*} n \sim 10^{18} \mathrm{cm^{-3}} \left(\frac{100\mathrm{km}}{R}\right)^2 \left(\frac{10\mathrm{MeV}}{\langle E \rangle}\right). \end{equation*} $$

It turns out that the ambient dense neutrino medium has a significant impact on neutrino oscillations, which has been intensely investigated in the last decade.