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

I think it depends on whether the list is odd or even in length. Actually, that's probably not true. With one, it'll probably always get it down there, but if I've made it just equal to two I might have lost.

是奇数还是偶数，事实上,这是不正确的，如果最后剩下一个,那可能得到了结果,如果剩下两个，可能错了,所以，首先我们要格外。

麻省理工公开课 - 计算机科学及编程导论课程节选

The underlying estimates may not accord with your belief or your intuitive sense of common sense.

各项资产有关估算结果可能与你的预想,或直觉不相符合

耶鲁公开课 - 金融市场课程节选

It is a much scarrier idea than saying I have this, I'm going to do it, I'm going to put it down there as opposed to being open to what may come and being uncertain whether that would be something good enough.

这和，我知道了，我要做这个，我想写这个，这种确定感相比,对可能的结果保持一种开放的心态，不知道,期待能否满足的未知感相比，更挑战一些。

普林斯顿公开课 - 人性课程节选

Second thing we've got to worry about is, what's a basic step? All right, if I bury a whole lot of computation inside of something, I can say, wow, this program, you know, runs in one step. Unfortunately, that one step calls the Oracle at Delphi and gets an answer back. Maybe not quite what you want.

我们需要担心的第二件事情就是，什么该作为一个基本的步骤呢？,如果我把一大堆的计算过程放到里面，我可以说，噢，这个程序你知道的，一步就完成了，不幸的是,这一步可能要靠预言家才能得到答案,这可能跟你想要的结果不太相同吧。

麻省理工公开课 - 计算机科学及编程导论课程节选

He says, "to succeed in many things or many times is 'difficult.' For instance, to repeat the same throw of dice 10,000 times would be impossible; whereas, to make it once or twice is comparatively easy."

他说,要成就很多事情,或成就一件事情很多次,是很困难的,比如,掷一万次骰子都得到同样的结果,是不可能的,但是,掷一两次却是相对容易的

耶鲁公开课 - 金融市场课程节选