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What should I do? But,the telephone rang, and I forgot the problem for the time being.
VOA: special.2011.06.04
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So we left off last time with looking at a bit of coding and teasing you with the upcoming problem set.
我们上次讲到了查看一些代码,并且给你们带来这下面的习题。
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It literally halves the amount of time it takes to solve that problem but we can actually do better.
它能把解决问题时间的缩短一半,但其实我们能做的更好。
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One time,Miss Sullivan suggested leaving a problem to solve until the next day.
VOA: special.2009.11.08
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There's almost a danger here in listening to it too long or describing it in too much detail and the danger seems or what Milton thinks of as the peril seems to involve the problem of time.
听太久的话几乎都会有危险,描写过细的话,又会花费很多时间。
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"Every time Americans debate the problem of states' rights, the relationship of federal power to state power -- which we are indeed having a roiling debate again -- and every time we debate not only race relations, but the very idea of what it means to be an American, multi-racial,greatly diverse society, we are debating the direct legacies of the Civil War."
VOA: special.2011.04.09
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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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Bosworth said the problem will take time to solve. "This is not the first we have heard of HEU,".
VOA: standard.2009.09.06
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This should all sound incredibly familiar, like I'm just repeating myself in terms of photoelectric effect, because essentially that's what I'm doing, and that's one reason we spent so much time and did so many problem-set problems on the photoelectric effect.
这应该听起来极其熟悉，就像我在重复自己在讲光电效应时所说的话，因为基本上我正是在这样做，这也是我们在光电效应这个问题上,花这么多时间,做这么多习题的原因之一。
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But,Steve Coll at the New America Foundation says the brother remains a problem, and Washington is just giving him more time to shape up.
VOA: standard.2010.05.28
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The Hepatitis B subunit vaccine was produced at the same time that HIV-AIDS was being recognized as a problem in this country.
在乙肝亚基疫苗研制出来的同时,在该国家艾滋病开始被视为问题
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"I think a solution to end this piracy, or to reduce it significantly, is possible and it should be done with cooperation of the local community, while at the same time addressing the root causes of the problem,".
VOA: standard.2009.10.30
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So the problem of existence through time,or persistence through time, shouldn't be called the problem of personal identity,but just the problem of identity.
所以积年累月下来存在的问题，就不该叫做个人认同感的问题，而仅是认同感的问题。
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Saying the United States is the only advanced democracy and only wealthy nation that allows such hardships for millions of its people, the president said the time has come to put politics aside and solve the problem.
VOA: standard.2009.09.10
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It's kind of unsettling because we like to know what things are, but at the same time it's not really a big problem because as long as we know about the fact that a certain notion of literature exists in certain communities we can begin to do very interesting work precisely with that idea.
可能会有点让人不安，因为我们总想知道事物的定义，但知不知道,实际上问题不大,只要我们知道在特定群体中对文学有特定的认识,我们就能在这种认识上做文章。
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But we also saw it's a dangerous idea to take too literally: that sometimes this can get you to over think the problem and actually, as in that numbers game last time, the best choice, the winning choice, might not involve so many rounds.
同时我们也发现过度照本宣科也不好,有时他会导致你,对于问题的过度探究,正如我们上次玩的数字游戏,最优选择,最后获胜的答案,有时不会绕那么多弯子
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So this is a question that I want to continue today, to consider what the trial of Socrates means and I want to begin by going back to a problem or a paradox that I ended the class with last time.
这就是我今天要继续的问题，考虑苏格拉底受审的意义,我想要先回到一个问题,一个悖论,也是我们上堂课所遗留的。
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You've got to spend the time to make sure that everything is well defined before you start trying to work out these problem More about the path. There are a couple ways you could go through that pass If I look at this smooth path here.
你要花时间确认,在你开始尝试解题前,切已经被很好地定义,关于路径还有些问题,你可以用两种不同的方式经过这条路径,看这条平滑的路径。
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It implies that this algorithm is calling itself again and again, and again, and on each time the size of the problem I'm trying to sort is being divided by what?
这就说明此算法会一次又一次地调用自己,每次我要排序的问题规模大小,会除以多少呢？
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Let's now go back and instantiate these ideas for the knapsack problem we looked at last time In particular, for the 0-1 knapsack problem.
让我们回来用具体例子,来说明我们上次看过的背包问题,特别是对0-1背包问题来说。
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OK. You can see that thing is cutting down the problem in half each time, which is good, but there's one more thing I need to deal with.
这很棒，但是我们还需要处理另外一件事情,让我们仔细来看看,我在开始做之前一直在说，应该先试验试验。
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Because I'm cutting down the problem in half at each time. You're right, but there's something we have to do to add to that, and that's the last thing I want to pick up on.
但是我们还需要强调一点,这是我最后想讲的一点,让我们来看看代码-实际上，让我们先来测试测试吧。
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Typical characterization, not all the time, but typical characterization, is an algorithm that reduces the size of a problem by one, or by some constant amount each time, is typically an example of a linear algorithm.
我们学习过了线性算法，它的典型特征，不是通用的,但是比较典型的特征是，它是逐一减小问题的大小的，或者说是每次减小常数的大小。
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The servant's problem was that he didn't take enough time.
而是他没有花费足够的时间。
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If this was a class in which we were going to worry about the general problem of identity across time, this would be a problem we'd have to directly face.
如果我们要讨论的是,贯穿时间的,质的总的问题，我们就需要,直面这个问题。
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So we learned the very first time that in the Prisoner's Dilemma communication per se won't help, but in the coordination problem, which could be just as serious socially as a Prisoner's Dilemma, in a coordination problem it may well help.
在第一讲里我们就学到了,在囚徒困境中沟通不起作用,但是在和囚徒困境具有,同样重要社会意义的协和谬误中,交流却能够起到作用
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And that makes it for me a very exciting time to study this because the problems aren't solved in the way that bridge building is largely a solved problem now.
对于我而言,这是一个非常激动人心的时代,因为一百年前桥梁建设中难以解决的问题,在今天都得到了解决
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Taking the problem, recognizing that you know what, 8 even though this is a pretty big problem size 8 in this case and last time it was size 8 or in the case of the papers in size of a thousand roughly with the phonebook, I assume these are in a perfectly straight line they won't quite fit.
以这个问题为例，你们要认识到，在这种情况下，这是个比较大的问题，其大小是,上次它的大小也是8，但在纸片那个问题中,电话簿的规模大概是上千的，现在假设这些,杯子完全在同一条直线上，虽然并不十分符合这个条件。
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So the running time of the problem where the input is T of size N as expressed here formulaically, T of N, the running time of an algorithm, given an input of size N. You know what?
因此一个输入为N的问题的运行时间,在这儿的公式表示为，如果输入为N，那么此算法的运行时间,是多少呢？
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