# Math seed

Euler's identity: $e^{i\pi} + 1 = 0$ and a fraction $\frac{a+b}{2}$.

Paren form \(\alpha_1 + \beta^2 \le \gamma\) inline.

$$
\int_0^\infty e^{-x}\,dx = 1
$$

\[
\begin{aligned}
f(x) &= \sqrt{x^2 + 1} \\
g(x) &= \begin{cases} x & x \ge 0 \\ -x & x < 0 \end{cases}
\end{aligned}
\]

Matrix: $$\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$$

| Col | Math |
|-----|------|
| a   | $x^2$ |

- item \(p \to q\)
- sets $S \subseteq \mathbb{R}^n$

> quote $$E = mc^2$$

Escapes: \\(not math\\) and `$code$` and \[unterminated