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All right, this is actually a very old piece of imperative knowledge for computing square roots, it's attributed to Heron of Alexandria, although I believe that the Babylonians are suspected of knowing it beforehand.
好，这是一个很古老的,关于计算平方根的程序性知识，是亚历山大的海伦提出的，不过我怀疑在那之前,巴比伦人就已经猜想过了。
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And now, my subway goes right from my apartment to Union Square,
现在，正好有地铁从我的公寓到这儿，
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Then if I'm looking for the square root of something less than 1, I know it will be in my region, right?
如果我要求平方根的数小于,我就知道我们的答案应该,在0-1这个区间了，对不对？
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So, at this place where it hits zero, 0 that means that the square of the wave function is also going to be zero, right.
它达到0的地方，这意味着波函数的，平方也是,如果我们看概率密度图。
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But that's even not right here in Union Square.
但那甚至不在联合广场这边。
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It's as if we're back to square one with the deep, right?
这就像一切都回到了原点？
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It was over here. Because the square root of a quarter is not smaller than a quarter it's bigger than a quarter. Right?
答案超出了这个区间,因为0。25的平方根会比0。25大,是应该比0。25大对不对？
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All right? I mean, I can make money at Harvard Square doing this stuff, right?
对不对？【鼓掌】我意思是，我可以在哈佛广场,靠做这个赚钱对不对？
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I want to then do, I need to find the square root b squared plus h squared, right?
我接下来要求b的平方和h的平方,的和的平方根对不对？
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I'm given an integer that's a perfect square, and I want to write a little piece of code that's going to find the square root of it. All right so I'm cheating a little, I know it's a perfect square, somebody's given it to me, we'll come back in a second to generalizing it, so what would the steps be that I'd use to walk through it?
完美平方数的整数，我想写一段代码来求这个数的平方根,好，我这儿有点儿作弊了,我知道这是一个完美的平方数了,他们给我的，我们后面会讲怎么产生这个数的，那么我想解决这个问题,需要什么步骤呢？
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I wanted to show you that, so, first thing I'm going to do is say, all right, I know I'm going to need square root in here, so I'm going to, in fact, import math.
我们可以开始完成这个方法了，我想让你们看到完成这个方法的过程，第一件事情就是,我们在这儿需要一个求平方根的方法，实际上我将引入math包。
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All right. So we have that square root NR.
好，看看这个NR求平方根方法。
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5 Right. Sure. Square root of 16 is 5.
是的，那么ANS为5，AND的平方等于。
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Every time you see a square bracket, put a paren in. All right?
每次你看到一个方括弧，你就得在此添加一个圆括弧，明白了吗？
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