[Test] Math Support with LaTeX

This post demonstrates LaTeX rendering support.

Inline Math

You can write inline math equations like E=mc2E = mc^2 or eiπ+1=0e^{i\pi} + 1 = 0.

Block Math

For larger equations, use block math:

ex2dx=π\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}

Maxwell’s Equations:

E=ρε0B=0×E=Bt×B=μ0J+μ0ε0Et\begin{aligned} \nabla \cdot \mathbf{E} &= \frac{\rho}{\varepsilon_0} \\ \nabla \cdot \mathbf{B} &= 0 \\ \nabla \times \mathbf{E} &= -\frac{\partial \mathbf{B}}{\partial t} \\ \nabla \times \mathbf{B} &= \mu_0\mathbf{J} + \mu_0\varepsilon_0\frac{\partial \mathbf{E}}{\partial t} \end{aligned}

Matrix

(abcd)1=1adbc(dbca)\begin{pmatrix} a & b \\ c & d \end{pmatrix}^{-1} = \frac{1}{ad-bc} \begin{pmatrix} d & -b \\ -c & a \end{pmatrix}