theorem

1. 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。

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2. We can apply Stewart's theorem directly to the median of a triangle.
我们可以把斯图尔特定理直接应用于三角形的中线上。

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3. So, let's prove this theorem.
下面来证明这个定理。

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4. So it is really the same theorem.
还是原来的的定理。

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5. So, that's the pergence theorem.
这就是散度定理。

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6. That was Greene's theorem.
旋度也出现了,那就是格林定理。

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7. We just use the fundamental theorem.
只需要应用基本定理就行。

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8. Here is an argument for this theorem.
这里我们再看看一个关于此定理的论点。

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9. We saw yesterday Green's theorem.
昨天讲了格林公式。

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10. We can just use the fundamental theorem.
仅需应用基本定理。

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11. So, what does the pergence theorem say?
那么散度定理究竟讲的是什么?

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12. 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。

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13. OK, so this way is a fundamental theorem.
解决办法是基本定理。

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14. And that is called the pergence theorem.
那就是散度定理。

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15. It s a very interesting theorem, says Brualdi.
“这是一个非常有趣的定理,”Brualdi说。

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16. More complicated example Pythagoras's theorem.
在毕达哥拉斯定理中还有更复杂的例子。

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17. 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?

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18. There are mathematical theorem-proving programs.
有些程序可以证明数学定理。

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19. "It's a very interesting theorem," says Brualdi.
“这是一个非常有趣的定理,”Brualdi说。

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20. In the plane that is called Green's theorem.
平面上的就是格林公式。

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21. Again, we have to use now the parallel axis theorem.
现在我们要用,平行移轴定理。

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22. OK, and actually that's how we prove the theorem.
实际上,这也是我们证明的思路。

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23. Did he do a handstand, solve the four-color map theorem?
他会倒立,解决这个四色地图原理?

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24. 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。

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25. This is really one of the features of Green's theorem.
这是格林公式的一种表示。

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26. Godel's incompleteness theorem seems like a practical joke.
哥德尔的不完全定理就象一个恶作剧。

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27. Why does the theorem choose counterclockwise over clockwise?
为什么定理选择逆时针积分而不是顺时针呢?

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28. At that part is actually math, namely, the pergence theorem.
那部分是数学的东西,即散度定理。

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29. Well, remember in the case of work we had Green's theorem.
请记得做功的例子,可以用格林公式的。

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30. That is Green for flux and that is the pergence theorem.
也就是通量的格林公式——散度公式。

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