I'm going to prove that the flux of a vector field that has only a z component is actually equal to the triple integral of, RzdV well, the divergence of this is just R sub z dV.
我将要证明，一个只有z分量的向量场的通量,等于一个三重积分，其中被积表达式为。
z I do F dot n. That just gives me the z component which might involve x, y and z.
把F和n做内积，于是得到,它由x，y，z组成。
z You pick any two components, say the x and the z component, and you take the partial of the x component with respect to z, fz and you must make them equal. And the same with every pair of variables.
选择任意两个分量，假定是x和，你得到fx对z的偏导数，对x的偏导数，the，partial，of，the，z，component，with，respect，to，x,让它们相等，对于任意一对变量做同样的事情。
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