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公式

$\int{\partial \Omega} (\mathbf{F} \cdot \mathbf{n}) dS = \int{\Omega} \nabla \cdot \mathbf{F} dV\int{\partial \Omega} (\mathbf{F} \cdot \mathbf{n}) dS = \int{\Omega} \nabla \cdot \mathbf{F} dV$

$e^{ix} = \cos{x} + i\sin{x}$

$\frac{\partial u}{\partial x} = \frac{\partial v}{\partial y}, \quad \frac{\partial u}{\partial y} = -\frac{\partial v}{\partial x}$

$\frac{\partial \mathbf{u}}{\partial t} + (\mathbf{u} \cdot \nabla) \mathbf{u} = -\frac{1}{\rho} \nabla p + \nu \nabla^2 \mathbf{u}$

$\nabla \cdot \mathbf{E} = \frac{\rho}{\varepsilon_0}, \quad \nabla \cdot \mathbf{B} = 0, \quad \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t}, \quad \nabla \times \mathbf{B} = \mu_0 \mathbf{J} + \mu_0 \varepsilon_0 \frac{\partial \mathbf{E}}{\partial t}$

$\oint{\partial V} \mathbf{E} \cdot d\mathbf{S} = \frac{1}{\varepsilon_0} \int{V} \rho dV, \quad \oint{\partial S} \mathbf{B} \cdot d\mathbf{A} = 0, \quad \oint{C} \mathbf{E} \cdot d\mathbf{l} = - \int{S} \frac{\partial \mathbf{B}}{\partial t} \cdot d\mathbf{A}, \quad \oint{C} \mathbf{B} \cdot d\mathbf{l} = \mu0 \int{S} \mathbf{J} \cdot d\mathbf{A} + \mu0 \varepsilon_0 \int{S} \frac{\partial \mathbf{E}}{\partial t} \cdot d\mathbf{A}$

$f(\mathbf{x}) = \frac{1}{(2\pi)^{k/2} |\mathbf{\Sigma}|^{1/2}} \exp \left( -\frac{1}{2} (\mathbf{x} - \mathbf{\mu})^T \mathbf{\Sigma}^{-1} (\mathbf{x} - \mathbf{\mu}) \right)$