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

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

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