It's 33, 32, it's only 32 times and you can check that math at home but here lies the power of algorithmic thinking, of computational thinking as they say.

你需要33，32，对，32次,你也可以在家里自己计算，但数学算法的力量是无穷的，这就是科学家们所谓的计算机思维。

哈佛公开课 - 计算机科学课程节选

Well, the infinity mechanism, and many of you will be familiar with this from mathematics or computer science, is recursion.

这种无限机制是递归的,你们许多人会在数学与计算机科学中,熟悉这个词

耶鲁公开课 - 心理学导论课程节选

I talked about life is not like a mathematic problem ? with you or in my other class ?

我说过生活不是个数学难题,是跟你们说过？，还是在我另外的课上？

麻省理工公开课 - 电影哲学课程节选

But, you know, I know someone who was a teacher in a Chicago public school for decades and lost his job, teaching math to high school kids, because he is gay.

我认识一个任职于,一所芝加哥公立学校几十年的老教师,被解雇了，他在高中教数学，仅仅是因为他是同性恋。

普林斯顿公开课 - 人性课程节选

And I think that's very important especially with electromagnetism, which is so numb toward if, so abstract and so much math flowing around.

我觉得这是非常重要的,尤其是对于电磁学来说，它是一门很难懂的，很抽象的学科,包含很多数学在里面。

麻省理工公开课 - 媒体、教育、市场课程节选

The mathematical theory of probability was unknown until that time and you can see that insurance suddenly made an appearance at that time.

在那之前,概率的数学理论,是不存在的,而随着概率论的出现,保险业也突然出现了

耶鲁公开课 - 金融市场课程节选

So you can see that we're starting to have a very complicated equation, and it turns out that it's mathematically impossible to even solve the exact Schrodinger equation as we move up to higher numbers of electrons.

所有你们可以看到我们得到了,一个非常复杂的方程，结果是它在数学上是,不可能解出确定的,薛定谔方程,当我们考虑更高的电子数目的时候。

麻省理工公开课 - 化学原理课程节选

It is true mathematically, you can add two numbers, but you've got to ask yourself,"What am I doing as a physicist when I add these two numbers?"

在数学上它是正确的,你可以引入这两个常数,但是你需要问问自己,当我引入这两个常数时,这么做有什么物理意义

耶鲁公开课 - 基础物理课程节选

If the stereotype is "your group doesn't do good in this," if I remind you that you're a member of that group immediately before doing it, your performance will drop.

如果刻板印象是“你的群体数学不好”,如果我在考前说，你是这个群体的,你的表现就会下降。

耶鲁公开课 - 心理学导论课程节选