LaTeX 数学公式测试

LaTeX Test

Here is an inline equation: E=mc2E = mc^2.

Here is a block equation:

ex2dx=π\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}

Maxwell's equations:

E=ρε0B=0×E=Bt×B=μ0J+μ0ε0Et\begin{aligned} \nabla \cdot \mathbf{E} &= \frac{\rho}{\varepsilon_0} \\ \nabla \cdot \mathbf{B} &= 0 \\ \nabla \times \mathbf{E} &= -\frac{\partial \mathbf{B}}{\partial t} \\ \nabla \times \mathbf{B} &= \mu_0\mathbf{J} + \mu_0\varepsilon_0\frac{\partial \mathbf{E}}{\partial t} \end{aligned}

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