This is a test post to verify that KaTeX is properly rendering mathematical formulas.

Inline Math

Here is an inline equation: \( E = mc^2 \) and another one using dollars: $ a^2 + b^2 = c^2 $.

Block Math

Here is a block equation using double dollars:

$$ f(x) = \int_{-\infty}^\infty\hat f(\xi)\,e^{2 \pi i \xi x}\,d\xi $$

And another one using brackets:

\[ \mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \end{vmatrix} \]

If these render beautifully, then KaTeX is fully integrated!