Math Rendering Test

This is a test page to verify that KaTeX math rendering is working properly.

Inline Math

Here is some inline math: E=mc2E = mc^2. And here’s another equation: ∑i=1nxi\sum_{i=1}^{n} x_i.

Display Math

Here’s a display math equation:

ddx(∫0xf(u) du)=f(x)\frac{d}{dx}\left( \int_{0}^{x} f(u)\,du\right) = f(x)

And another one:

∇×B⃗− 1c ∂E⃗∂t=4πcj⃗∇⋅E⃗=4πρ∇×E⃗ + 1c ∂B⃗∂t=0⃗∇⋅B⃗=0\begin{align} \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\ \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\ \nabla \cdot \vec{\mathbf{B}} & = 0 \end{align}

Some Text

This is just some regular text to ensure the layout looks good.