But I showed you in the end how we can use calculus to derive that.

我上节课最后教过你们,如何用微积分来得到那个结果

耶鲁公开课 - 基础物理课程节选

But if you imagine making these measurements more and more and more quickly, in the end, you can measure what you can say is the acceleration now.

但如果你想越来越短的时间内,测量这些数据,最终,你会测量出你所说的现在的加速度

耶鲁公开课 - 基础物理课程节选

The causal paths that result in death may start different, but I presume that they converge and you end up having a set of events take place.

不同的手段导致死亡的方式不同,但是我认为有一点是相同的,你的死亡伴随着这一系列的事情发生

耶鲁公开课 - 死亡课程节选

If they both rat each other out, they'll end up in jail for two years, But if you rat the other guy out and he doesn't rat you out, then you will go home free and he'll go to jail for five years.

要是都坦白了,两人都要坐两年牢,要是你坦白而他不坦白,你无罪释放而他坐五年牢

耶鲁公开课 - 博弈论课程节选

So, you can have a kind of system of symbols that's gemlike and pleasurable and that calls you to submit to it as it does here for Oedipa, but in the end there is something more that her search will produce, and that is the moment of compassion.

所以你能够有种珍贵和令人愉快的象征系统,它能让你向它屈服,就像对Oedipa一样，不过在最后她的寻找得到了更多的东西,这就是同情的瞬间，我想提出的是眼泪贯穿了正本书。

耶鲁公开课 - 1945年后的美国小说课程节选

But nowadays, it's a horse, but in the end, if you're going to treat it as a point particle, it seems to me to be a real waste.

但是如今,一匹马,到最后,如果你仅把它当做一个质点来看,对我来说似乎是有点太浪费了

耶鲁公开课 - 基础物理课程节选

You've got to make sure that if you explain to others how to do this problem, then somebody else contributes to something else, but you know what everybody contributed in the end.

你得能保证,如果你和别人解释了题目的解法,然后另一个人对别的题目又有独到见解,最后你知道每个人都没有浑水摸鱼

耶鲁公开课 - 基础物理课程节选