The theorem that alternativity can replace associativity is true.
交替性可以代替关联性的定理是正确的。
下面来证明这个定理。
We saw yesterday Green's theorem.
昨天讲了格林公式。
We just use the fundamental theorem.
只需要应用基本定理就行。
Here is an argument for this theorem.
这里我们再看看一个关于此定理的论点。
We can just use the fundamental theorem.
仅需应用基本定理。
我不知道那个定理。
If you want, in a way, it's this theorem.
可以这样想，这就是定理告诉我们的。
The proof of the theorem is elementary.
完成了该定理的初等证明。
Why is this not like conceptually a new theorem?
为什么这个看上去不是一个新的定理呢？
OK, and actually that's how we prove the theorem.
实际上，这也是我们证明的思路。
And for each of them, you will apply Green's theorem.
对于它们中的每一个，使用格林公式。
A direct proof of the theorem is given in this paper.
本文给出了该定理的一个直接证明。
This is really one of the features of Green's theorem.
这是格林公式的一种表示。
We have a connection between that, which is Stokes theorem.
还有一种联系的方式就是Stokes定理。
At that part is actually math, namely, the divergence theorem.
那部分是数学的东西，即散度定理。
On the other hand, we give a different proof of a theorem.
另外，我们给出一个定理的一种不同的证明。
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。
Well, that's the statement of the theorem we are trying to prove.
这就是我们试图证明的定理。
The circuit theorem is the important part in circuit theory.
电路定理是电路理论的重要组成部分。
One is direct calculation, and the other one is Green's theorem.
一种是直接计算，另一种则是格林公式。
This is a simple example of the equipartition theorem at work.
这就是均分定理应用的一个简单例子。
Now, let's instead try to use Stokes' theorem to do the calculation.
现在使用Stokes定理来算。
A complete analysis must build on the implicit function theorem.
完整的分析必须建立在隐函数定理的基础上。
In this sense, Coase theorem is a variation of normal price theory.
从这种意义上说，科斯定理乃是标准价格理论的一个特例。
He is best known for the Pythagorean theorem, which bears his name.
他因以自己名字命名的毕达哥拉斯定理而最为知名。
But now it has also helped prove a new mathematical theorem as well.
但现在这个结果同时也帮助证明了一个新的数学定理。
An existence theorem of continuous signal transfer operator is given.
证明了连续信号传输算子的存在定理。
In this paper, we show that some recent results on KKM theorem are false.
本文表明关于KKM定理的某些最近的结果是错误的。
The resolution principle is known to be a basic tool for theorem proving.
归结原理是定理机器证明中的一种基本技术。
应用推荐