假设我们的向量场有两个分量。

Let's say that our vector field has two components.

youdao

这是另一种形式，它意味着,要求出每点处向量在切向量方向的分量,我还是用之前那个向量场吧。

That is how we reformulated it. That means we take our curve and we figure out at each point how big the tangent component I guess I should probably take the same vector field as before.

youdao

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。

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.

youdao