So, sometimes people get confused when they're solving problems and call the amplitude this distance all the way from the max to the min but it's only half of that because we're only going back to the average level.

解题的时候会弄错，把这个从,最大值到最小值的距离,叫做幅值，但实际上,只有它的一半,只是它和平均值的差距。

麻省理工公开课 - 化学原理课程节选

The minimum and the maximum is bounded.

最大最小值都是有界的。

麻省理工公开课 - 计算机科学及编程导论课程节选

So I differentiated this object, this is my first derivative and I set it equal to 0 Now in a second I'm going to work with that, but I want to make sure i'm going to find a maximum and not a minimum, so how do I make sure I'm finding a maximum and not a minimum?

这样我就对它求出导数了,这是一阶导数,令它等于0,一会我们就要计算了,但我先确定一下是最大值还是最小值,我怎么确定是最大值还是最小值呢

耶鲁公开课 - 博弈论课程节选

The only place q1 appears here is here, so when I differentiate again I'm going to get -2b and sure enough that's negative, which is what I wanted to know, just to check that when I'm finding this thing, I'm finding a maximum and not a minimum.

只有这一处有q1,因此二阶导数是-2b,它肯定是个负数了,这正是我们想得到的结果,这就验证了我们刚才得出的,是最大值而不是最小值

耶鲁公开课 - 博弈论课程节选