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"The first time we visited this rock last fall - there were maybe one or two children out of 15 who knew how to climb up this."
VOA: standard.2010.06.25
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We knew this was trying to do squaring, so intellectually we know we can square -4, it ought to be 16, but what happens here?
我们知道程序是用来求平方数的，那么按理说我们可以来求-4的平方，也就是16，但是程序结果是怎么样的呢？
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And the basic idea was that we had some sort of a line and we knew the answer was somewhere between this point and this point.
去学习的二分搜索是有联系的,这种方法的基础思想,是我们有一个线性的序集,我们也明白答案在其中的某一段区间。
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"As a union we have been smelling a rat, because if this money was from the donor community, we knew that the money was coming in good time.
VOA: standard.2010.03.04
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The nymphs, of course, are powerless, and worse than that, the nymphs, as we know and of course as John Milton knew, are merely fictions. This is all made up.
海洋女神当然无能为力，更糟糕的是，海洋女神，我们都知道，弥尔顿也知道，只是虚构的，这都是虚构的。
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We can know this information even if we just knew that the bond was stronger, we wouldn't need to look at a graph here, because it turns out that if you have a stronger bond, -- that also means that you have a shorter bond -- those two are correlated.
我们依然可以得到上面的信息,即使我们所知道仅仅是这个键更强，我们不需要去看这个图，因为事实上如果你有一个更强的键，这也就意味着你有一个更短的键-,这两点是互相关联的。
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And that idea was, we make a guess in the middle, we test it so this is kind of a guess and check, and if the answer was too big, then we knew that we should be looking over here. If it was too small, we knew we should be looking over here, and then we would repeat.
这些有理数是有序排列的,然后我们的想法是,首先在中间取个数作为猜想数，然后对这个猜想数进行验证，如果由猜想数得到的答案太大,我们知道应该跳过，比猜想数大的那个区间，如果太小的话。
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and he knew this the same way that we saw it in the last class, which is when we viewed the difference spectra coming out from the hydrogen, and we also did it for neon, but we saw in the hydrogen atom that it was very discreet energy levels that we could observe.
那就是,当我们看氢原子发出的光谱时，我们也看了氖气,但我们看到,氢原子能级是分立的，这些，在当时,已经被观察到了,他也都知道。
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