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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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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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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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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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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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"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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I know this is a simple example, but when you mature as a programmer, one of the first things you should do when you sit down to tackle some problem is write something like this pseudo code.
我知道这是个很简单的例子，但是当你们成长为一名程序员后，当你们碰到问题后第一件事情就是,该写一些类似于,伪代码的东西。
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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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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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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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So that way you can have an idea if, oh, I do really understand this but I'm a little bit slow, maybe I need to practice this one type of problem a little bit longer so I can get up to speed so I'm going to be able to get through all this in terms of the exam time.
这样你就可以知道，假设，噢，我真的懂这个，但是我的速度有点慢，或许我需要在练习这个类型的题目上,多花一点时间,这样我就可以提高自己的速度,可以全部做完,在考试规定的时间内。
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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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So, it really is -it really ought to be on the bank's balance sheet and it ought to be regulated by the bank regulators, but there was a failure to do that and that is the problem that we are in currently.
所以说,它确实该...,它应该反映在银行的资产负债表上,同时接受银行监管体系的管理,但这却没能实现,这就是我们目前面临的问题
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s a more pervasive problem, a social, more global problem?-Yes.-And do you see a chance that it does reach to a level closer to the Great Depression? How bad does this get, Charlie?
那么说这是一个更加普遍的，So，it’,全球性的社会问题-没错-有没有可能,这次危机会演变成与大萧条相似的危机,查理，这会糟糕到什么地步呢？
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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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Because one of the things that you want to do as a good designer is to basically map a new problem into a known domain.
因为如果你们,想做一个好的设计师,最基本的事情之一就是学会,把没碰到过的问题映射到已经领域中去。
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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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So, I have to check for that, but nine times out of ten there's not going to be a problem so now let's do this.
所以，我需要做一个检查,但是通过十有八九,这不会出现问题，现在我这样处理。
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The problem we want to do today, a whole family of problems, looks like this.
我们今天要处理的问题,是一系列像这样的问题
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The problem it solves for the cell is how to do I make a barrier around myself to define what's in me and what's outside of me when most of what's around me and what's in me is water.
它为细胞解决的问题是,当我体外和体内大部分都是水情况下,我怎样在自己周围设置一个界线,来区分什么是体内的,什么是体外的
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And in terms of using these equations in solving problems on the exam, and also using these constants, make sure if you think there might be any chance you're going to get any little part of a problem wrong or do a calculation inaccurately, you need to write out every single step of your thinking as you write out these problems.
而当你在考试过程中用这些公式,来解题时，加上运用这些常数，如果你觉得有可能,在某一小问上出错,或者出现计算错误，请务必把你的思路一步一步地都写出来,当你在答题的时候。
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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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So now we're left with a problem that's but 500 pages large and so what might a human do now to find Mike even more closely?
现在我们只用翻500页就能解决问题了,接下来，怎么做才能离Mike这个名字更近一步？
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That in many cases, I can gain efficiency if I'm willing to give up space. Having said that though, there may still be a problem, or there ought to be a problem that may be bugging you slightly, which is how do I guarantee that my hash function takes any input into exactly one spot in the storage space?
普遍存在的增益和权衡,在许多的例子中,可以通过牺牲空间而得到效率方面的增加,话说回来，仍然存在一个问题,或者应该会有一个问题困扰着你,就是我如何保证我的哈希函数能够准确将,任一输入映射到相应的唯一的存贮空间中去？
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There are coffee machines and there are lounge sofas and everything else. There are computers, there are printers, so it's a good lounge, and I think if you go there one day a week to do your problem sets, or more often, that's a good meeting place,I recommend that.
那里还有咖啡机和舒适的大沙发,以及一些其它设施,比如电脑,打印机,真的是个很好的休息室,如果你每周去那里,花一天时间完成你的作业,或者多去几次,确实是个好地方,我强力推荐
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So now we're putting 2 electrons into the same p orbital, that's not a problem, we can do it, it's not a huge energy cost to do that.
现在我们在同一个，p，轨道上放了两个电子，这没问题，我们可以这样做，这样不会亏损太多能量。
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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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