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Okay so exchange numbers; okay good half of that problem is gone now we have just these two left.
好，交换数字,好，问题解决一半了,只剩你们两个了。
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There are two aspects of it. Thus far, the problem sets have mostly focused on function.
关于这个问题有两个方面，迄今，问题集只关注了方法。
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Today we're going to talk about the two big ones that people are usually concerned with: carbohydrates and fat.
今天我们将讨论人们关心的两个大问题,碳水化合物和脂肪
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That makes sense and it seems like getting rid of some of this division of regulatory agencies is very beneficial.
这样就变得更合理,也有利于解决两个不同的,监管机构的领域相相争问题。
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But they're, I think, the two most prominent positions and definitely the ones most worth taking seriously for our purposes.
但我想,它们是,两个最突出的观点,并且绝对是,在我们解答问题上值得严肃对待的观点
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But whenever we've had a reform era there's been a big issue, or two or three or four.
但每当我们有一个改革的时代,都会存在一个,两个,三个或者四个大问题
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Those are questions that are going to frame the two lectures that I give on this novel.
由这两个问题,我把这本书分两堂课来讲。
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Second, I'd like to identify two key questions that I really think important for you to be thinking about and addressing in the area of new technology and education.
接着确定两个关键问题,这两个问题很重要,你们要好好想想怎样,在新技术和教育中定位。
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To some degree, I am inclined to answer that both of those questions have something to them.
某种程度看来,我倾向于回答这两个问题,皆与之有关连。
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And zoom on the easiest question for you, that way two things happen.
放大对你来说最容易的问题，这是这两个事发生的方式。
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So here is where our question comes, because where do we put it?
这里我们的问题就来了，我们该把这两个电子放在哪里？
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We want to ask the question, What are these two quantities?
我们想问一个问题，这两个量是什么？
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So another issue here is, I just assumed that there were two candidates.
另一个问题是,我假设只有有两个候选人
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But first, I want to start with the assignment I gave you last time, and I asked you all to think about these two questions and write some things down.
首先,让我们看看,上节课留的作业,我要求你们都思考,下面这两个问题并写下感想
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I took my role to sniff that out, and to make sure the president heard 2 and 4 on an important issue, and was able to make the decision himself.
我的作用就是发现这些，保证总统可以听到2和4这两个观点4,在一些重要问题上，然后他能自己做决定。
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Well, there's two answers to this.
这个问题有两个答案。
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So here's my attempt to make the question both a bit more precise, and a question that's an open question.
我正尝试,让这两个问题变得更准确,这是个开放性的问题
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And I'm going to show you an example in a 1 second, just to drive this home, but notice the characteristics. In the first two cases, the problem reduced by 1 at each step.
在前面两个例子里,每一部问题的规模缩小了,不管是迭代的还是递归的，这表明这个问题的复杂性可能是线性的。
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OK. And then the exponentials, as you saw is when typically I reduce the problem of one size into two or more sub-problems of a smaller size.
好，然后说到指数级，正如你所见，典型的例子是,我讲一个问题分解成为,两个更小规模的子问题。
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Typically again he seems to answer the question from two different points of view giving each perspective its due its justice.
很典型地，他回答问题的方式,似乎再次从两个不同的观点出发,让每种看法都有发言的机会。
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So, this evidence is very possible to see in diametrically opposed ways, and you're certainly not the first two students that I've seen have those two different reactions to the same thing.
所以，我们非常可能要从完全不同的角度来看待这些了，你们两个不是最早对这个问题,有两种不同看法的学生了。
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And you can look at this in two different ways.
你可以从两个不同的角度,考虑这个问题。
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Of course, often, I think, people run together these two questions.
当然，我想通常，这两个问题都是并驾齐驱的。
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I will answer both questions.
我来回答这两个问题。
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So when you're trying to think about is this a problem that I can solve with dynamic programming, these are the two questions you ask.
所以当你想知道能否,用动态编程来解决这个问题时,你可以问自己两个问题。
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What I want you to see is, because I've got two versions of that problem.
我展开一次得到了问题的两个版本，然后接下来是四次。
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in fact,have splitting of personality So the very same case raises the very same problem for both the body view and the personality view.
分裂人格的可能,就是这同一个案例引起了从肉体理论,和人格理论两个角度相同的问题。
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So we'll come back and talk about more of these things as the course goes on, but let's just come back to the two we forgot there: so the collusion case and the case back in Law & Order with the prisoners in the cell.
随着课程的深入,我们会继续讨论更多类似的问题,但现在我们先回到之前的两个案例,串通和法制的案例,即囚徒困境
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The question was, if you didn't hear, why do I have two equal signs?
这个问题是，如果你没听到问题的话，我为什么要用两个等号呢？
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Again, what I want you to see is, notice the characteristic of that.
这里面的特征，也就是迭代产生了两个小一号的问题。
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