单词green-s-theorem
网络: 格林公式
So, there"s one place in real life where Green"s theorem used to be extremely useful.
现实生活中有一个方面，格林公式曾经非常有用。
Well, if you remember how we prove Green"s theorem a while ago, the answer is we"re going to do it exactly the same way.
还记得，不久之前是怎么证明格林定理的吗？，我们将要做的，其实恰好是相同的套路。
Green"s theorem and applications, triple integrals, line and surface integrals in space, Divergence theorem, Stokes" theorem; applications.
格林定理及其应用、三重积分、空间中的线积分和面积分、散度定理、斯托克斯定理应用。
Of course, I made up the example in that way so that it simplifies when you use Green"s theorem.
当然，我举的这个例子，当你使用格林公式它能够简化。
Probably if you met an alien, I"m not sure if you would be discussing Green"s theorem first, but just in case.
可能你们见过外星人，我不确定，如果先讨论格林公式，但为了以防万一。
And I know from yesterday what this is equal to, namely using the tangential form of Green"s theorem.
由昨天的结论，知道这是等于。。。，格林公式的切向量形式。
OK, so basically that tells you, you can still play tricks with Green"s theorem when the region has holes in it.
负责任地告诉你们，当一个区域有个洞的时候，就可以这样巧妙地使用格林公式。
Actually, I should say This is called Green"s theorem in normal form also.
实际上，这个应该称之为正交形式的格林公式。
So, we"ve seen the statement of Green"s theorem in two forms.
我们已经了解了，格林公式的两种表达形式。
But, you can"t use Green"s theorem directly if the curve is not closed.
但是，如果曲线不是封闭的，不能直接使用格林公式。