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Admonition Shortcode

MathJax Support Demo

\begin{equation} \int_{0}^{1} \int_{0}^{1} \int_{0}^{1} \int_{0}^{1} \frac{1}{1 + x_1 x_2 x_3 x_4} , dx_4 , dx_3 , dx_2 , dx_1 \end{equation}

\begin{equation} \mathcal{L}{f(t)} = \int_{0}^{\infty} e^{-st} f(t) , dt = F(s) \end{equation}

\begin{align} \nabla \cdot \mathbf{E} &= \frac{\rho}{\epsilon_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 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t} \end{align}

\begin{equation} f(x) = \frac{a_0}{2} + \sum_{n=1}^{\infty} \left( a_n \cos \frac{n \pi x}{L} + b_n \sin \frac{n \pi x}{L} \right) \end{equation}

\begin{equation} f(a) = \frac{1}{2\pi i} \oint_{\gamma} \frac{f(z)}{z-a} , dz \end{equation}

\begin{equation} x^n + y^n = z^n \quad \text{for} \quad n > 2 \quad \text{has no non-zero integer solutions} \end{equation}

\begin{equation} R_{\mu\nu} - \frac{1}{2}g_{\mu\nu}R + g_{\mu\nu}\Lambda = \frac{8\pi G}{c^4}T_{\mu\nu} \end{equation}

\begin{equation} P(A|B) = \frac{P(B|A)P(A)}{P(B)} \end{equation}

\begin{equation} \rho \left( \frac{\partial \mathbf{u}}{\partial t} + (\mathbf{u} \cdot \nabla) \mathbf{u} \right) = -\nabla p + \mu \nabla^2 \mathbf{u} + \mathbf{f} \end{equation}

\begin{equation} A = U \Lambda U^* \end{equation}