Now if you look at my derivation here, there's one spot where I could have just stopped and proven my point without going through the whole thing.

如果仔细检查我的推导过程，你会发现其实,我们不用研究整个循环过程,就可以证明我们要证的公式。

麻省理工公开课 - 热力学与动力学课程节选

And if you look on page 83, this is just one of many, many examples.

你们看看83页，这只是众多例子之一。

耶鲁公开课 - 1945年后的美国小说课程节选

The two most important things that I look for are number one is just raw intelligence, right?

我要找的员工具备以下两点特质,第一点是要有高智商？

斯坦福公开课 - 扎克伯格谈Facebook创业过程课程节选

And this one, just for completeness, is what the antibonding orbital would look like.

然而这个，只是为了其完全性，把反键轨道也表示出来。

麻省理工公开课 - 固态化学导论课程节选

And if you just look at the numbers, you can see how it cuts in from one side and then the other side as it keeps narrowing that range until it gets down to the place where there are at most two things left, and then it just has to check those two to say whether it's there or not.

你能看到他是如何不断的，从一个大的范围被拦腰劈开,知道最终只剩下两个数字,然后就只需要,比一比就知道结果了,将它同线性查找比较下。

麻省理工公开课 - 计算机科学及编程导论课程节选

Well, one, it just starts to look ridiculous, frankly.

第一，坦白的说，这开始看起来很荒谬。

哈佛公开课 - 计算机科学课程节选

It's the old gray but dark philosophy that you should just look at value But, one of the things is when people have given up on a company--that's the perfect time.

就是那个陈旧黑暗的哲理,你应该只注重价值,但是，还有一种情况当人们都抛售了,某个公司的股票--那就是个极佳的时机。

耶鲁公开课 - 金融市场课程节选

So, let's take a look here at an example of an energy diagram for the hydrogen atom, and we can also look at a energy diagram for a multi-electron atom, and this is just a generic one here, so I haven't actually listed energy numbers, but I want you to see the trend.

所以让我们来看看,一个例子氢原子的能量图，我们也可看看一个,多电子原子的能量图，这是一个普通的图谱，我没有列出能量的数字，但是我想让你们看这个趋势。

麻省理工公开课 - 化学原理课程节选

At least if we look at the statistics, just about every single one of you, after you leave Harvard,will join an organization, an organization that is a social enterprise, not for profit,something to better the world.

看一下统计数据，你们每个人，离开哈佛后，都将加入公司，这个组织是个社会企业，非盈利机构，只为贡献社会而存在的。

哈佛公开课 - 幸福课课程节选

OK. So if I look at this code, first of all I'm calling search, it just has one call, so looks like search is constant, except I don't know what happens inside of b search. So I've got to look at b search.

首先调用一下搜索，就一步调用,看起来搜索是固定的，除非我不知道二分搜索的原理，那我们来看看二分搜索吧,所以让我们看看，第一行打印出来的内容。

麻省理工公开课 - 计算机科学及编程导论课程节选

So, that's sort of the mathematically how we get to a, but we can also just look at the graph here, because every time we go one wavelength we can see that we're back in a maximum.

这是就我们得到a的数学,办法，但我们可以直接,从图上看，因为每次我们,经过一个波长，都回到一个最大值。

麻省理工公开课 - 化学原理课程节选

We can look at the 2 p, which should have one radial node, and we just figured it out for the, excuse me, 3d for the 3 p has one radial node, and for the 3 d here, we should have zero radial nodes, we just calculated that.

我们看2p，它有一个节点，我们已经知道对于，不好意思，是3p有一个节点，对于，它应该没有径向节点，我们刚刚算过这个。

麻省理工公开课 - 化学原理课程节选