In order to explain it-- I had to write down the binomial distribution to explain it properly.

要解释这一点,我要先在黑板上写一个二项分布,以便于解释清楚这个问题

耶鲁公开课 - 金融市场课程节选

It's as though you try-- try getting upset about the fact that two plus two equals four.

这就像你在尝试-,为二加二等于四而烦恼。

耶鲁公开课 - 死亡课程节选

I was thinking this morning four, five, six, one, two, three, four, five, six, one, two.

我早上还在想这段,四,五,六,一,二,三,四,五,六,一,二

耶鲁公开课 - 聆听音乐课程节选

Double that, times by two, this is the money I will be making in one month.

再翻倍，乘以二，这将是我在一个月赚到的钱。

哈佛公开课 - 幸福课课程节选

That means that you can go through twenty years of a career on Wall Street and all you've observed is observations in the central region.

这就是说,你在华尔街混了二十年,所有观察值都集中在中心区域

耶鲁公开课 - 金融市场课程节选

Now, about roughly two-thirds of those two million slaves moved from the Eastern seaboard or the Upper South to Alabama, Louisiana, Mississippi, Texas, Arkansas, et cetera.

在这两百万奴隶中,大约有三分之二的人,是从东海岸或者上南地区,被卖到亚拉巴马,路易斯安那,密西西比,德克萨斯和阿肯色等地区

耶鲁公开课 - 美国内战与重建课程节选

This is a course, a version of which I've taught almost every year for the last twenty years and it evolves a little bit every year.

诚如你们所见,在过去二十年中,几乎每年我都要讲授这门课,这门课程每年都会与时俱进

耶鲁公开课 - 生物医学工程探索课程节选

It's always a good first approximation, because you need to start somewhere in terms of drawing Lewis structures, but then if you go and figure out the formal charge and you just have lots of charge separation or very high charges, like a plus 2 and a minus 2 and a minus 1 all different places in the atom, what it should tell you is maybe there's a better structure.

它总是一个好的第一近似，因为在画路易斯结构的时候,你总需要一个起点，但是如果你在算出形式电荷之后,发现有很多电荷分开了,或者说有很高的电荷，比如有一个正二，一个负二，还有一个负一1,在原子的各个地方，这应该就是在告诉你,或许还有一个更好的路易斯结构。

麻省理工公开课 - 化学原理课程节选

We all do believe something makes it true that two plus one equals three, but it's not the fact that empirical objects-- We don't do empirical experiments to see whether two plus one equals three.

我们都相信有些东西,使2加1等于3是正确的,但这不是说现实的东西,我们不会在现实中做实验,去看看二加一是不是等于三

耶鲁公开课 - 死亡课程节选

Development of an artificial heart, again another example of Biomedical Engineering, is something that people have been trying to accomplish for decades now, and this is the closest that we've come and there are many advantages of this particular artificial heart.

人造心脏技术的发展,是生物医学工程的另一个例子,科学家们,试图在这二十年中去改进它,而这是最接近成功的一个实例,这枚人造心脏有很多优点

耶鲁公开课 - 生物医学工程探索课程节选