LaTex

$$E=mc^2$$

\begin{vmatrix}
1 & 2\
3 & 4
\end{vmatrix}

$$\left[
\begin{array}{cc|c}
1&2&3\
4&5&6
\end{array}
\right]$$

公式

$\cos 2\theta = \cos^2 \theta - \sin^2 \theta = 2 \cos^2 \theta - 1$

$$J_\alpha(x)=\sum _{m=0}^\infty \frac{(-1)^ m}{m! , \Gamma (m + \alpha + 1)}{\left({\frac{x}{2}}\right)}^{2 m + \alpha }$$

$$\frac{\partial u}{\partial t}= h^2 \left( \frac{\partial^2 u}{\partial x^2}+ \frac{\partial^2 u}{\partial y^2}+ \frac{\partial^2 u}{\partial z^2}\right)$$

\begin{aligned}
\dot{x} & = \sigma(y-x) \
\dot{y} & = \rho x - y - xz \
\dot{z} & = -\beta z + xy
\end{aligned}

$$ i\hbar\frac{\partial \psi}{\partial t}= \frac{-\hbar^2}{2m} \left(\frac{\partial^2}{\partial x^2}+ \frac{\partial^2}{\partial y^2}+ \frac{\partial^2}{\partial z^2}\right) \psi + V \psi.$$