Mathematical Methods

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\[ \begin{align} \nabla \times \vec{E} & = -\frac{\partial\vec{B}}{\partial t} \\ \nabla \cdot \vec{D} & = \rho_f \\ \nabla \times \vec{H} & = \vec{J}_f + \frac{\partial\vec{D}}{\partial t}\\ \nabla \cdot \vec{B} & = 0 \end{align} \]