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。
To compute things, Green's theorem, let's just compute, well, let us forget, sorry, find the value of a line integral along the closed curve by reducing it to double integral.
用格林公式计算…，只是计算…，让我们忘记…，应该是，算沿闭曲线的线积分值，可以通过二重积分来算。
If we apply Stokes' theorem to compute the work done by the electric field around a closed curve, that means you have a wire in there and you want to find the voltage along the wire.
如果用Stokes定理计算的话，电场对一条封闭曲线做的功，比如说，电厂中有一个金属线圈，想要知道金属线圈的电压是多少。
That's a closed curve. So, I would like to use Green's theorem.
这是封闭曲线，所以我们可以用格林公式。
A new and simple proving method on the famous theorem of total torsion, "the total torsion of closed spherical curve is zero", and two generalized theorems for the. theorem are presented in the paper.
本文给出了关于全挠率的一个著名定理：“球面闭曲线的全挠率为零”一个新的简单证法，并且给出了这个定理的两个推广定理。
A new and simple proving method on the famous theorem of total torsion, "the total torsion of closed spherical curve is zero", and two generalized theorems for the. theorem are presented in the paper.
本文给出了关于全挠率的一个著名定理：“球面闭曲线的全挠率为零”一个新的简单证法，并且给出了这个定理的两个推广定理。
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