That's an idea that struck people intuitively at various times in history, but they didn't know how to do these calculations.

在历史上,人们很多次,直觉地感知到了这一点,但是他们不知道怎么去计算

耶鲁公开课 - 金融市场课程节选

Suppose we all go to a tall building and start throwing things at various times and various speeds.

假设我们都爬上一栋高楼,在不同时刻以不同速度抛出物体

耶鲁公开课 - 基础物理课程节选

Hacking believes that there were many gambling theorists who invented probability theory at various times in history but never wrote it down and kept it as a secret.

哈金相信历史上有很多赌博理论家,曾多次构想了概率论,但从来没有记录下来,并且恐为人知

耶鲁公开课 - 金融市场课程节选

And so we might need to work out various, more complicated, formulas here, where we multiply the pain times its duration and take into account its intensity, get the sheer quantity of pain that way.

我们需要编制出各种，更复杂的公式，以便增加痛苦的倍数，延续时间,还要考虑痛苦的强度，获得痛苦的纯量。

耶鲁公开课 - 死亡课程节选

You can satisfy yourself at various times as going like this.

这个结果在任何时候都满足要求

耶鲁公开课 - 基础物理课程节选

I studied the Paulson proposal carefully, since I'm writing a New York Times column about it which will appear Sunday Reading the various commentaries about the proposal I had the impression that not many of them are very--thinking very deeply about it.

在我写这个星期天将发行的,纽约时报的金融专栏之前,我曾认真研读了鲍尔森的改革计划,在我读过各种各样关于改革计划的评论之后,我深深地感觉到不是每一个人,都能深刻的意识到改革的利弊的。

耶鲁公开课 - 金融市场课程节选

It is just that you have done it at various times.

你们以前就是这样

耶鲁公开课 - 基础物理课程节选