For example, if we're talking about a pitcher, like Matsuzaka, we might want to know the speed of his average fastball.
举例来说,如果我们谈到一个投手,就像松阪,我们想知道他投出,快球的平均速度。
They just want to hurry up and get done with whatever they're doing
他们就是想快一点把手头的东西做完,
If you're really into it and you're at MIT, maybe you want to know the wavelength of these average fastballs. So, let's go ahead and look at that.
如果你真的深入到这个问题中去,而且你在麻省理工学院,也许你会想知道这些快球的波长,所以我们继续来看这个问题。
The other thing that I want to talk about-- and I guess I'm running out of time-- was about management of disaster risks.
还有一件事,我要说说...,我想我可能快没时间了,我要说的是灾难风险管理
One way to think about this intuitively if the derivative is very large the function is changing quickly, and therefore we want to take small steps.
关于这个方法很直观的一点想法是,如果导数非常大,函数也就变化的非常快,因此我们想一小步一小步的来。
So what do you do when you're a kid and you want 3 to count a little faster than 1 and 2 and 3 and 4 what is the simplest thing you do?
因此当你还是个孩子的时候,你想数得比1,2,3,4快一些3,最简单的方法是什么?
You want to know how fast the guy is moving.
你们想知道这个质点的速度有多快
I remember walking around the square during mu lunch hour, walking faster and faster trying to get around, four or five different classes of kids, all of whom were verbally abusive to me, and feeling there was no place that I belong there was no place that I felt connected to other kids.
我记得我在广场周围走着,那会儿正是午餐时间,我越走越快,想翘过接下来的四五个不同的班级,班上的孩子都对我恶言相向过,我觉得自己无处可去,我找不到自己和其他孩子相联系的地方。
This is very important,which is why I am doing it: "If we want to know how fast a human being can run, then it is no use to average out the speed of a "good sample" of the population; it is far better to collect Olympic gold medal winners and see how well they can do.
这话非常重要,是我作这个研究的原因:,“如果想知道人类最快能跑多快,那从好的样本中测出平均数是“,没用的;,而应该收集田径类奥运冠军的信息,看他们能跑多快。
If you want to know how fast it's moving at a given time, if you want to know the velocity, I just take the derivative of this answer, which is 10-10t.
如果你想知道它在给定时刻的运动有多快,如果你想知道它的速度,我只要对这个式子求导,得到10-10t
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