Inline math: $E = mc^2$
Display math:
$$
\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}
$$
Code-style inline: $`\alpha + \beta`$
Code-style display:
```math
\sum_{i=1}^{n} i = \frac{n(n+1)}{2}
```
Mixed: The equation $a^2 + b^2 = c^2$ is well known.