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1·So, that's the divergence theorem.

这就是散度定理。

2·So, what does the divergence theorem say?

那么散度定理究竟讲的是什么？

3·And that is called the divergence theorem.

那就是散度定理。

4·That is Green for flux and that is the divergence theorem.

也就是通量的格林公式——散度公式。

5·At that part is actually math, namely, the divergence theorem.

那部分是数学的东西，即散度定理。

6·So, that's by the divergence theorem using the fact that s is a closed surface.

所以那是通过散度定理得到的，其中使用了S是封闭曲面这一事实。

7·OK, so we have somehow a connection between these which is the divergence theorem.

在某种方式下它们是有联系的,这就是散度定理。

8·So, the divergence theorem gives us a way to compute the flux of a vector field for a closed surface.

散度定理为我们提供了一种，计算向量场通过闭曲面的通量的方法。

9·The convention in the divergence theorem is that we orient the surface with a normal vector pointing always outwards.

在散度定理中的约定是,将曲面的定向取为外法线的方向。

10·So, instead of proving the divergence theorem, namely, the equality up there, I'm going to actually prove something easier.

我将要证明一些稍简单的结论，而不是证明散度定理，也就是写在这儿的等式，接下来证明点简单的东西。