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I haven't said how I'm going to get those sorted lists, but imagine I had two sorted lists like that.
我还没有说明我怎么才能得到已排序的列表,但是想像一下我现在已经有,两个已排序好序的列表了。
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Let me cluster them because really what I have, sorry, separate them out. I've gone from one problem size eight down to eight problems of size one.
让我把它们聚集起来，因为已经得到我想要的，抱歉，把它们分开来,现在我从一个长度为8的问题,得到了八个长度为1的问题。
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So now, now that we've got all three of the major laws of thermodynamics, what I want to start in on is a discussion of what happens spontaneously.
现在既然我们已经得到了,热力学的三个主要定理，我想现在开始讨论的是,什么过程会自发进行。
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But it was still interesting to watch and to see unfold So, now I had this picture of real-live data of a real-life city operating in front of me.
但是看着这些事物一点点展开非常有趣,现在我得到了现实的城市里,现实生活的数据就在我面前运转。
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I could have done this in another way but I am going to just be extra deliberate so I make sure that this copy ends with back slash zero and voila, now, I have a copy.
我可以用另外一种方式来处理,我确保这个拷贝由反斜杠0结尾,那样，现在我得到了一个拷贝。
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That's because the banker is thinking, if I have this amount right now and I invest it for one year, then what do I have.
那是因为银行认为,如果我现在持有这些钱并将其投资一年,然后我会得到什么
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But there's more because now I've got pluses and minuses.
但是还有别的问题,因为我现在得到了带正电的东西和带负电的东西。
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I just want to show you how that comes out.
我现在来告诉你们这个答案怎么得到的
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If I want to get out right now the versions of these things, I can ask what's the value of c p 1 x, and it returns it back out.
你可以在那里看到那些,代表笛卡尔坐标点的东西，如果我想要得到现在，这个类的版本的东西的话。
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Well let's see. My fall back is, I could just do linear search, walk down the list one at a time, just comparing those things. OK. So that's sort of my base. But what if I wanted, you know, how do I want to get to that sorted list? All right?
我只能做线性搜索了,一次遍历一遍列表，一个一个比较，但如果我想要,那怎样得到有序的列表呢？,现在的一个问题是，我们排序之前？
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OK, now that I've got points, I might want to do something with points.
好，我现在得到了一些点，我可能想对这些点做一些操作。
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T I need to answer this question, T of 2.
现在我需要得到。
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I just reran make or GCC does it for me, and now I've got all these errors. Well, let's see.
我刚重新运行了make，或者GCC为我编译了代码，现在我得到了这些错误，好的，让我们看看。
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What we do--I'll show you how they got their number.
现在,我演示一下如何得到这个数字
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dT That means that dH is also equal to dH/dT, constant pressure dT. All right, so now I've T ot more dH/dT under constant pressure.
也等于偏H偏T恒压乘以，现在我已经得到了在恒压,状态下的偏H偏。
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I had T of 1-- I have an answer now.
我得到了T--现在有答案了。
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I know this is the right answer, because if I now find the acceleration, I find it's mg divided by m and I get -g as the answer for all bodies.
我知道这个等式是正确的,因为现在如果我要求物体的加速度,用 mg 除以 m,我就得到 -g,这个结果对所有物体都成立
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