This is an experiment page to see how maths rendering works, before I flesh it out with some content.
This is an example of inline maths, where $x, y$ are variables and $\sum_x{3x}\equiv \int_0^\infty{e^{-3x}\frac{1}{\sqrt{2}}dx}$.
Block maths:
$$\begin{aligned} 3x+2&=5\ 5y+\text{text}\mathcal{E}&=\hat{O}\end{aligned}$$
Quantum:
$$\ket{\psi}=\frac{\vert0\rangle+\lvert1\rangle}{\sqrt{2}}$$
Matrices:
$$\begin{pmatrix} 1&0\\0&-1 \end{pmatrix}$$