This is a test post for typesetting mathematical equations using Typst.

This is an inline equation: $E=m{c}^2$. Here is a displayed equation:

$${\int }_a^{b}f(x)dx=F(b)-F(a)$$

$$\mathbf{X}\sim N\left(\mu ,\Sigma \right)$$

$$f\left(\mathbf{x}\right)=\frac{1}{(2\pi {)}^{\frac{k}{2}}|\Sigma {|}^{\frac{1}{2}}}\exp (-\frac{1}{2}{\left(\mathbf{x}-\mu \right)}^{\top }{\Sigma }^{-1}\left(\mathbf{x}-\mu \right))$$