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The United States now faced the problem of what to do with the new lands.
VOA: special.2009.02.26
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In addition to many lectures, we have the working groups pleased to do both experiments and to do problem-solving exercises.
我们不仅有讲座，还有不同的小组,他们将做实验,和解决问题的练习。
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And secondly, I think that, even if they don't know how to do a problem,
二是，我觉得，即使他们不知道怎么做一道题，
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The most serious problem was what to do with property owned by the federal government.
VOA: special.2009.07.23
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So let's actually let you try another example of solving a problem that has to do with one of the spectrums.
下面请大家来看一下另一个例子,这次是一个需要大家解决的关于光谱的问题。
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In many cases, people do not want others to know they have a problem.
VOA: special.2010.04.13
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The problem with long-term risks, also, is that anything that we do to mitigate these risks creates moral hazard.
关乎长期风险的问题，我们要采取一切手段,减轻这些风险,带来的道德风险。
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"Our problem is not to do with cooking oil, sugar or semolina.
VOA: special.2011.01.22
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It's a simple problem, but I just want to do it so you get used to working with vectors.
这是个简单的问题,但我还是想做一下好让你们习惯矢量运算
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Imagine a swimmer in water over his head You are in deep water when you are facing a problem that you do not have the ability to solve.
VOA: special.2009.05.10
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And we hope that at the end of the class, every time you're confronted with some technical problem, one of your first instincts is going to be, "How do I write the piece of code that's going to help me solve that?"
并且我们希望到了期末，每当你要面对一些,技术问题的时候，你们的本能之一将会是：,“我怎么才能编写一个代码,来帮我解决这问题？“
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He said Pakistani leaders recognize that and are beginning to do things to confront the problem.
VOA: standard.2009.03.31
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If you have been working and are still working on problem Set One, do realize that a good deal of support and assistance is available to you.
如果你们一直在做并且还在做,习题集1，请认识到，可以寻求,其他人的支持和帮助。
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That is not our problem. They do not play, they did not defend, and they did not stop the chances for us to score,".
VOA: standard.2009.11.05
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We'll see why they have to separate that in a minute, but they do that these lipid bi-layers solve that problem for them and they're self-assembled structures from these molecules called phospholipids.
我们马上会讲到为什么要把它们隔离开,脂质双层膜解决了这个问题,而这些自主装结构,就是由磷脂分子组成的
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"I do not have a problem and I do not know anybody who has a problem. But the 'boogey man' Obama is trying to state that we have a problem, and he wants to tax us,"
VOA: standard.2009.09.02
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Now this will become a problem obviously when we talk about Judaism, because Jews--the Greek rulers, were trying to do the same thing with Jewish gods and Jewish figures, as they had elsewhere.
显然，这种方法用在犹太教会产生问题，因为犹太人。。。希腊统治者试图用，同样的方法，处理犹太神。
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"We have to do this because it's a problem that is today in Greece, but if we don't fix it in Greece it may have a lot of consequences on the rest of the European Union."
VOA: standard.2010.04.28
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It's going to lead to a lot of interesting things. It's also going to create a really huge problem for monotheistic thought they're going to struggle with for centuries and actually still do struggle with today.
并会引发一系列的有趣事件，它也将给一神论思想,带来一个相当大的问题，这个问题,他们纠结了好几个世纪，直到现在依然存在。
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So now there is a problem of credibility of what the government is going to do, and of course the situation is different to situations in other periods because now there is a common currency."
VOA: standard.2010.06.24
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All right, so when you do a problem, the path is going to turn out be extremely important.
好，当你解题时，路径会变得,极其重要。
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Curtis says the surge will also reassure India that the Americans are there to stay and do not intend to cut and run, leaving behind an unstable Afghanistan and Pakistan, which would be a definite problem for India.
VOA: standard.2009.12.06
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But remember that you do have recitation on Tuesday, so that could be very helpful with the problem-set, so be sure to go to recitation on Tuesday, and have a great long weekend.
记住，周二有习题课，这对做课后题很有帮助，所以周二一定要来上习题课，周末愉快！
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So the problem I want to do-- there are many things you could do but I just picked one, and this is the one with round numbers, so I can do it without a calculator.
我想讲的这道题,类似的题目很多,但我就选了其中一个,这道题涉及的数字都是整数,所以我不需要计算器
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Because you'll have an appropriate level of confidence and competence in your ability to do computational problem solving.
因为你们在自己的能力范围内,拥有应对解决计算问题的,正当水平的自信心和竞争力。
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But I want to stress again, as long as I do the base case right and my inductive or recursive step reduces it to a smaller version of the same problem, the code will in fact converge and give me out an answer.
就开心的去做吧,但是我想再次强调,只要基础事件处理正确而我的递归,或递推步骤能把它简化为更简单的同类问题,那么这段代码就可以收敛。
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Not so easy to see. All right, but this is actually a great one of those educational moments. This is a great example to think recursively. If I wanted to think about this problem recursively- what do I mean by thinking recursively?
看不太出来，好，但实际上是一个有教育意义的时刻,这是一个很好的关于递归的例子,如果我用递归的思想,去考虑这个问题-,我该怎么用递归去解决这个问题呢？
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I make the problem ten times bigger, it takes one more step to do it.
而在线性复杂度的算法里，我把规模扩大十倍。
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d1 2 3 And we can do that just going along, 3 d 1, 2 3, and the problem comes when we get to chromium here, which is instead of what we would expect, 4s23d4 we might expect to see 4 s 2, 3 d 4.
我们能做的就是继续，问题出现了,当我们来到铬元素时，它不是我们预期的那样，我们可能预期。
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The second question I want to ask is what's the base case? When do I get down to a problem that's small enough that it's basically trivial to solve? Here it was lists of size one. I could have stopped at lists of size two right. That's an easy comparison.
第二个问题是什么是基础条件？,我要将问题分解到何时才使得问题,小到可以解决的基本问题？,这里是当列表的长度为1有时候,我也可以在长度为2的时候停止分解,那是一个非常简单的对比。
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