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We've had a great deal to do with it, but of course we still haven't the slightest idea what it is.
我们花了很大的功夫来接解决这个问题，但我们仍然一点都不知道语言是什么。
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Like, if there is a problem, I try to think of the solution.
比如说出了什么问题，我就试着想怎么解决。
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You're hiding something from yourself, and once you know what's going on to deeper phenomena your problems will go away.
这些冲突被你压抑起来，一旦你理解了更深层次的冲突究竟是什么,你的问题便会得到解决。
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Indeed, to get at that question, the first thing we're going to have to think about is what are we?
事实上，要解决这个问题，我们首先要考虑的是，我们是什么？
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OK. Binary search is perhaps the simplest of the divide and conquer algorithms, and what does that mean? It says, in order to solve a problem, cut it down to a smaller problem and try and solve that one.
好了，二分搜索也许是,最简单的分治算法，这意味着什么？,也就是说，为了解决一个问题,把它切割成小的问题,然后再来一个个解决。
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What does this mean? Linearity of solutions, the elegant way of saying it is superposition holds.
这是什么意思，方程的线性关系，是解决问题的十分漂亮的方法。
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What was the biggest domestic policy issue you help President Bush solve?
您帮布什总统解决的,最大的国内政策问题是什么？
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Now to make that lower-of-the-two-prices comment a little bit more rigorous, let's figure out what the demand actually is for these firms.
为了说明两者价格较低者,具体是什么意思,先来解决这些公司真正的需求量是什么
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These are going to be fairly common-sense definitions, but they're important, and when you get to a problem set, really nailing down what the system is, not more, nor less, in terms of the amount of stuff, that's part of the system, it's going to be often very crucial.
这些是,很常识性的定义，但是很重要，当你要解决问题时，务必要搞清楚系统是什么，它包含多少物质，不能多也不能少，这往往,是非常重要的。
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and can't deal with it anymore.
什么也解决不了。
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So this is version two of the swap function and, in fact, it is almost identical, this is before, this is after, before, after and it looks like the solution to this problem that we've been revisiting a couple of times now is just to do what?
这个swap函数的第二个版本，实际上，这几乎是一样的，这是之前的，这个之后的，之前的，之后的，这看起来像是这个问题的解决方案,我们一直多次访问它,目的是什么呢？
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You’re off the hook.
什么都可以解决。
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You should have some idea of how I'll do it.
你们应该清楚我会用什么方法解决
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There're also changes of what you can teach, extends what you can teach, because you can get to concept which are really quite sophisticated that you will never teach it at the introductory level, because the math is the least that you can make it quantitatively, because you have a visualization that shows physically what's going on.
同时这也能改变,教学内容，你能教授的程度，因为你可以定义,那些通常很难的,你在入门阶段都不会遇到的,抽象阶段，因为数学是你最不能,用定量手段来解决的，因为你有一个直观过程,知道什么正在进行。
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What is the class of algorithm that's- that probably applies to this, and how do I pull something out of that, if you like, a briefcase of possible algorithms to solve?
以及哪种算法-,可能可以应用到这类问题上,问题本身又能提取出什么东西来，以及可能解决问题的一系列方法的简介？
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Now, of course, that's a bit of a cheat because the claim isn't to spend eternity doing math problems and nothing but math problems.
当然这有欺人之嫌,因为并非要求永远解决数学问题,其他什么都不做。
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But in order to address that particular question what is for me to survive the death of my body is that even a posibility or not.
但为了解决这个问题,我的肉体不死意味着什么,是否有这样的可能性。
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System of linear equations. What are the equations here? Well, I could say, you know, the number of pigs plus the number of 20 chickens equals 20, right? Because we've got 20 heads. And then what else do I have?
如何解决这个问题呢？,用线性方程式的办法来解决，等式是什么呢？你应该知道,猪的数量加鸡的数量等于,对吧？因为我们有20个头？
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If it's not already there, what will happen?
如果这里还不能解决问题，那会发生什么呢？
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So what's the solution?
所以我们的解决方案是什么呢？
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I'll let you chase it through, it does work. What I want to look at is, what's the order of growth here?
我会让你们去运行这个方法的，确实能得到正确答案，我想问的是，这个解决问题的方法的增长率是什么？
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What should the thief have done?
你们最好的解决方案是什么呢？
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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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We've played it three times, Let's try and figure out what the equilibria looked like in this game.
我们做了三次,我们试着解决,此博弈中的均衡是什么样子
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We first have to get about the more general question what is it for me to survive period.
我们首先要解决更综合的问题,我阶段性不死意味着什么。
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It tells you that you cannot resolve what is going on at that level.
说明你不能解决,在那种水平下将发生什么。
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What is dH/dT as a function, keeping pressure constant, what is dH/dp, keeping temperature constant?
恒定时偏H偏T是什么,温度恒定时的偏H偏p又是什么呢？,好的，让我们解决第一个问题？
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So this is kind of a modern show and that is kind of a retro language and it's also as will be one of the takeaways of this course completely irrelevant to what problem you are solving, the fact that this engineer is using--proclaiming to use Visual Basic really is not a compelling part of the story.
这看起来很时髦,像是重新流行的语言,当然，该语言是我们学习这门课程,过程中附带着要学习的,这与解决什么问题无关，事实上，使用VB真的不是,这个故事出彩的地方。
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Well, what's the solution to that?
有什么办法解决那个问题？
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