And all this is, is saying that when you take a mixed second derivative, it doesn't matter in which order you take the two derivatives.

麦克斯韦关系的本质是,当你考虑混合的二阶导数时，求导的顺序不影响最后的结果,现在，我们利用这些关系。

麻省理工公开课 - 热力学与动力学课程节选

But you know, I understand it's a challenge when you're coming from a language that doesn't have any concept of an article.

但是，我能够理解当你的母语没有冠词的概念时，它将是一个挑战。

经常犯的失误 - SpeakingMax英语口语达人

But when you think about what works and what doesn't remember we had revenues going very strongly.

但是不管如何抉择,要知道，我们的财政收入还是不菲的。

斯坦福公开课 - 经济学课程节选

When they say you don't believe you're going to die, do you mean, you don't believe your body's going to die?

当你说你不相信自己会死，你的意思是不相信肉体的死亡？

耶鲁公开课 - 死亡课程节选

That's misleading because it really doesn't matter when you buy the stock, so you're not supposed to, as a broker, sell dividends.

这是误导,什么时候买股票都没区别,所以作为券商,不应以股利为卖点

耶鲁公开课 - 金融市场课程节选

You know when you add 2 polar forms, you add the radii together, you don't add the angles together, you need to do it in Cartesian form.

表示形式的不同理解，返回给你了不同的值，这也就带来了一系列的问题，第二个问题是。

麻省理工公开课 - 计算机科学及编程导论课程节选

You know, my experience with this is, when you go from having a small number to a really large number of people, if you don't a process, it becomes real chaos.

我的经验是，公司的员工由很少,增长到很多，如果没有一个程序，很容易乱套。

斯坦福公开课 - 戴尔CEO-Michael.Dell谈创业和发展课程节选

STUDENT: No, they actually don't, and when you graph it all out.

学生：,不，当你把它们都画出来时不是这样的。

麻省理工公开课 - 化学原理课程节选

Is it meaningful to choose to do the good when you have no choice to do otherwise or aren't aware that you have a choice to do otherwise?

这样是否有意义，你选择了善良,在你别无选择的时候,或者是当你没有意识到还有其他选择的时候？

耶鲁公开课 - 旧约导论课程节选

When the uncertainty gets that big, you don't know which came first.

当不确定度到那么大的数值时，你不知道谁是第一个到达的。

麻省理工公开课 - 固态化学导论课程节选

Why is it when you saw this, you didn't realize it's the same problem?

为什么当你们看到这个时,没有认识到这其实是同一问题

耶鲁公开课 - 基础物理课程节选

You know about this but maybe you haven't thought about it at this level of detail, but you know that when you - after you eat, you eat lunch for example.

你们学过胰岛素了,但可能没有在我讲的层面上想过这个问题,但你知道的,吃饭以后,比如说你们吃午饭

耶鲁公开课 - 生物医学工程探索课程节选

Then also a problem is you can't weigh things when you're eating out, so even if you were being incredibly precise about stuff at home and you were actually weighing things, you couldn't do that very well when you're eating out.

问题是,当你在外吃饭时无法称量食物,所以即使你在家中非常精确地测量食物,并且实际测量了每样物品,但在外吃饭时你可没法这样干

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选

Because you see, also motivation and energy-- you don't need research for that, you know that when you are feeling good, you have more motivation, you have more energy-- of course, there is a lot of research to back that up.

因为动力和精力-,不需要研究就能明白，你知道感觉好时，动力和精力更充沛-,当然有很多研究支持这一点。

哈佛公开课 - 幸福课课程节选

And one day so I was eating my ice-cream because the archives were closed, and this woman came up, and she was probably about fity, or something like that, and she ordered ice-cream, and so this guy says, "Well, Madame whatever, Madame Dupuis, you remember that day don't you, when the Germans came back?" And she said, "Oh I sure do, they hung my husband from that pole."

有一天我正吃冰激凌呢,因为档案馆关了,有个女人过来,她大概有五十岁,她要了个冰激凌,然后这哥们说,"我也忘了什么夫人了,杜普斯夫人,你还记得那天吧,德国人来的那天",然后她说,"我当然记得,他们把我丈夫吊在那根柱子上"

耶鲁公开课 - 1871年后的法国课程节选

The trouble is, you just don't know when that explosion took place, and since there are several periods in this general area that we're talking about now, in which something big happened, some great change takes place, it turns out different people want to have their explosion at different times.

问题是,你不了解火山爆发的,确切时间以及这种爆发,在这个区域又延续了很多个时期,这些时期发生了许多重大事件和重大变化,结果就是不同人对,火山爆发的时间推测各不相同

耶鲁公开课 - 古希腊历史简介课程节选