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Well, we start out with our usual system, and we have a bunch of little pebbles on it.
还是那个系统，活塞上面放了很多小石子。
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I'm going to come back to that in a second with that, but I need to do one more example, and I've got to use my high-tech really expensive props. Right. So here's the fourth or fifth whatever we're up to, I guess fifth example.
并且我会用到我的,高科技的昂贵小道具，好，这是第四个还是第五个了？,好，我猜是第五个例子了,这是个被称为汉诺塔的问题。
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This was very big in an ad campaign at least last year, I'm not sure if it still is, with the little butterfly.
它的广告宣传做得很大，至少在去年是这样的，我不确定它现在还是不是，它这里有一个小蝴蝶。
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And what Alexander and his successors did was they took that basic Greek structure, and they transplanted it all over the Eastern Mediterranean, whether they were in Egypt or Syria or Asia Minor or anyplace else.
而亚历山大和他的继业者,把这些希腊式结构，移植到了地中海东部各地，无论是埃及，叙利亚，小亚细亚还是其他地方。
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He was a hobo by choice: As a little boy, he'd seen a hobo come up to ask his mother for a piece of pie and she had given it to him and when the hobo went off down the road the little boy had said, "Ma, what was that fellow?" "Why, that's a hobo."
他是自愿成为流浪汉的：,当他还是个小男孩的时候，他见过一个流浪汉向他妈妈,要一块派，他妈妈给他了,于是当流浪汉离开的时候小男孩就问，“妈妈，那个家伙是谁“，“是个流浪汉“
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There are nonetheless a few details from the classical underworld that he seems to have lifted more or less wholesale and one of them - I'm going to ask you to look at page 246 in the Hughes.
然而弥尔顿书中还是有一些描写传统地狱的小细节,他似乎多多少少大规模地盗用了那些细节,我想让你们看《力士参孙》一书的246页。
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Speed, right. So another decision you face is do you just try and kick this ball as hard as you can or do you try and place it?
球速是正解,你还需要考虑,当你主罚点球时你是大力抽射,还是小力轻擦
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We don't know if it's bigger or smaller.
到底比等温过程的值大还是小。
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How much greater or smaller would the number go?
数字会更大还是更小？
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When I was a boy the eight ounce Coke was the default serving, and when I was a child when it was time to have a Coke or a Pepsi you had eight ounces and the event was over.
当我还是个小男孩的时候,可口可乐,或是百事可乐都是八盎司装的,而且最多就只能喝一瓶
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And again, very much in the same style of the quizzes All right, let's look at this.
但是还是和小测验的形式差不多,好了，我们来看到程序。
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that the negative particle travelled - it was deflected much, much further by those plates, what he could also assume and make the conclusion of is that the mass of that negative particle is actually larger or smaller?
因为他发现负电粒子,运动了很远,它被两块电板偏转了,非常非常远,所以他给出的结论是,负电粒子的质量,是比较大还是比较小？
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So, for example, if we think of the fluorine minus case, would you expect fluorine minus to be larger or smaller than neutral fluorine? Okay. I heard mostly larger, but a little bit of a mix in there, and it turns out that larger is correct.
比如，如果我们来考虑一下负一价的氟离子的话，大家认为它大一些还是小一些？,对比于比中性氟原子，好的，我听到大部分人说大一些，但是也有一些不同意见，而正确答案应该是大一些。
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So we can have our two hydrogen atoms come in here, and what we will find is - now that we have all of our orbitals filled up -- so thinking about what this angle is here, would you expect it to be less than or greater than what we saw for ammonia before?
我们在这里有两个氢原子，我们会发现,现在我们所有的轨道都填满了-,考虑一下这里的角度，你们觉得它比在氨中看到的,要大还是要小？
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So small silly little exercise but I'm hoping that you've sort of seen how by being patient.
这就是我们关于小Silly方法,做的一点联系了，我还是希望大家,能够耐心点来发现问题。
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And keep going, until the square of one of those integers is greater than or equal to - sorry, just greater than x. OK, why am I doing that? When I get greater than x, I've gone past the place where I want to be.
如果还是比x小的话，跳到3，这么继续下去,直到一个整数的平方大于或者等于,对不起，是大于x，好,为什么我要这么做呢？,让我得到的整数的平方和。
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I personally don't like swings that much and it's the B-/B+ range, so I'd much rather prefer that to a swing from A to C, and that's my reason.
我不喜欢成绩波动很大的,比如B-/B+这个范围,所以我还是喜欢像A到C这样小点的,这就是我的原因
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Well, let's try it. Let's try a little test. OK?
不过我们还是来试试吧，做个小测试怎么样？
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