First of all, it's clear from the Pythagoras' theorem that a is the square root of ^2 + ^2.

首先,根据毕达哥拉斯定理,勾股定理在西方被称为"毕达哥拉斯定理"

耶鲁公开课 - 基础物理课程节选

So they--in other words, the insurance company--doesn't trust the insurance companies to do the calculations like I showed with the binomial theorem.

因此他们...也就是说,他们不放心让保险公司按照二项式定理,自己计算准备金要求

耶鲁公开课 - 金融市场课程节选

So there are examples in American History of elections that seem to in which the Median Voter Theorem seems to do well.

因此从美国历史上的选举案例里看,中位数选民定理非常奏效

耶鲁公开课 - 博弈论课程节选

But let's take something simple like the Pythagorean Theorem, which we all learned in high school.

不过我们还是说些简单的,比如勾股定理,我们中学里都学过的

耶鲁公开课 - 死亡课程节选

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？

耶鲁公开课 - 心理学导论课程节选

If you give me a pair of numbers, Ax and Ay, that's as good as giving me this arrow, because I can find the length of the arrow by Pythagoras' theorem.

如果给我一组数字,Ax 和 Ay,就相当于给了我这个箭头示意图,因为我可以利用毕达哥拉斯定理定理求出模长

耶鲁公开课 - 基础物理课程节选

Well there are examples in American History in which the Median Voter Theorem looks pretty good.

在美国历史上就有一个案例,此案例中中间选民定理非常奏效

耶鲁公开课 - 博弈论课程节选

And we learned how to prove the Pythagorean Theorem in Euclidean geometry, starting with the various axioms in Euclidean geometry, ba, ba-ba, ba-ba, ba-ba, ba bum.

我们都学习过,欧几里得几何中对勾股定理的证明方法,从繁杂的欧氏几何的公理开始,邦,邦邦,邦邦,邦邦

耶鲁公开课 - 死亡课程节选

This is the "Median Voter Theorem"; thank you.

中间选民定理,谢谢你

耶鲁公开课 - 博弈论课程节选

It's called the Median Voter Theorem because the voters at the center, in this case 5 and 6, actually get to decide not just the election, but to decide therefore, what policies are put in place.

它之所以叫中间选民定理是因为,处在中间位置的选民,比如这个案例中立场5和6,实际上他们不止左右了选举结果,而且还决定了那些政策可以施行

耶鲁公开课 - 博弈论课程节选

There's another Modigliani-Miller theorem about debt, which is about debt irrelevance as well.

关于负债还有另外一个MM定律,也是讲负债不相关性的

耶鲁公开课 - 金融市场课程节选

And it turns out there's a variety of proofs of the Pythagorean Theorem.

其实有很多种证明勾股定理的方法

耶鲁公开课 - 死亡课程节选

This proves Pythagorean Theorem.

这就证明了勾股定理

耶鲁公开课 - 死亡课程节选

It will be about the securities market line, about the beta, about the mutual fund theorem, and it will also be about institutions that we have--about investment companies and their management.

证券市场的风险线,beta系数,共同基金定律,还有当下的一些金融机构,包括投资公司,以及他们的管理

耶鲁公开课 - 金融市场课程节选

There are mathematical theorem-proving programs.

有些程序可以证明数学定理

耶鲁公开课 - 死亡课程节选

We'll be talking about the Modigliani-Miller Theorem and related issues in this lecture as well as something about the behavior of the stock market and its tendency to go through dramatic movements.

我们会讲到,MM定理,和与其相关的问题,还会讲到,股市行为和,股市戏剧性的运动趋势

耶鲁公开课 - 金融市场课程节选