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