Vector Calculus Identities向量微积分恒等式
The divergence of the curl is equal to zero:  The curl of the gradient is equal to zero: 
旋度的散度等于零：梯度的旋度等于零： |
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Divergence Theorem散度定理
The volume integral of the divergence of a vector function is equal to the integral over the surface of the component normal to the surface.
 矢量函数的散度的体积积分等于该矢量在表面上法向分量的表面积分。 |
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Stokes' Theorem斯托克斯定理
The area integral of the curl of a vector function is equal to the line integral of the field around the boundary of the area.
 标量函数的旋度的面积积分等于该场围绕面积边界的线积分。 |
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Vector Identities矢量恒等式
In the following identities, u and v are scalar functions while A and B are vector functions. The overbar shows the extent of the operation of the del operator. 在以下恒等式中，u 和 v 是标量函数，而 A 和 B 是矢量函数。横线表示微分算子 del 的作用范围。
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