LaTeX/Mathjax Test Post

Test of Mathjax.

Test of inline math $x^n + y^n = z^n$.

Test of display math. How about Stoke's Theorem for differential forms?
$$\int_{\Omega}d\omega = \oint_{\partial\Omega}\omega$$

\begin{equation}
\frac{dy}{dx} - p(x)y = g(x)
\label{example}
\end{equation}

We can now refer to \eqref{example}

Multiline
\begin{multline*}
\nabla\times \vec{v} = (\frac{\partial v_z}{\partial y}-\frac{\partial v_y}{\partial z})\hat{x}\\
+(\frac{\partial v_x}{\partial z}-\frac{\partial v_z}{\partial x})\hat{y}\\
+(\frac{\partial v_y}{\partial x}-\frac{\partial v_x}{\partial y})\hat{z}
\end{multline*}

Alignment
\begin{align*}
2x - 5y &= 8 \\
3x + 9y &= -12
\end{align*}

Gathering
\begin{gather*}
2x - 5y = 8 \\
3x^2 + 9y = 3a + c
\end{gather*}