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The two brothers in the mask engaged in that philosophical debate about the force, or the strength, of virginity.
戏中的两兄弟曾为,贞洁的力量这一哲学问题争论过。
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In week zero, when we tore the phonebook in half and half and half we were recursing through that problem.
当我们将电话簿划分为一半又一半的时候,其实就是利用递归在解决问题。
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Let me cluster them because really what I have, sorry, separate them out. I've gone from one problem size eight down to eight problems of size one.
让我把它们聚集起来，因为已经得到我想要的，抱歉，把它们分开来,现在我从一个长度为8的问题,得到了八个长度为1的问题。
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Also we will have students doing workshops and problem-solving where the students will solve problems as a group, a group of three and turn in a common work sheet.
我们还有学生做研讨会,以及问题解决,从而学生可以以三人小组为单位,解决问题,最后上交平常的作业。
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But just to make it concrete and to see what's at stake, consider the distribution of wealth in the United States.
但为了更形象，看看问题何在，以美国的财富分配状况为例。
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All that Simmias needs to cause problems for Socrates' argument is the claim that harmony is invisible and harmony can be destroyed.
西米亚斯为苏格拉底的论证,带来问题的只需要是,和声是无形的,但是可以毁灭。
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I think it's reasonable for people who are considering the study of a particular subject in a college course to ask why they should.
大家都想将这一科目,作为一门学问做深入的研习,所以这个问题显得很为必要
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You've worked with this already so you're a little bit familiar with it, and at the outset here I have two questions for you.
我们听过这首曲子,你们会觉得有些熟悉,开始前,我为你们准备了两个问题
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Kelly Brownell is going to talk--is head of the Rudd Center, focuses on obesity, eating disorders, dieting, and he'll talk about the psychology of food.
凯莉·布洛耐尔,是路德研究中心的领导者,主要研究肥胖症,进食紊乱和节食方面的问题,他会为大家讲述饮食的心理学
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A limited class of problems is one in which the acceleration is just a constant.
在这类有限的问题里,加速度均为常数
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The real substance is what the man does-- or woman does-- for the world.
而问题的实质是,这个男人,或女人,为世界做了什么贡献
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But one problem that this also caused is if you're going to put all the books, the documents that you think are scripture,between two covers with the scrolls,you can take one out and put another in.
但这引起了一个问题,如果你要为，那些被认为是圣典的书籍加上封面,如果是卷轴你可以随意取舍。
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Every regime is an answer to that question because every regime sets forward a way of distributing formally distributing powers and distributing offices among its citizen body.
每一个政体都是这问题的答案，因,为每一个政体提出了一种分配的方式,正式地分配权力,并将官职分配给其公民本体。
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the first reason that we gave and we are just finishing up is because the question that we ask, whether it's the research questions that we ask, or the questions that we ask of ourselves, or our partners,matter.
我们之前讨论完的第一个原因是,我们提出的问题很重要，无论它是不是我们的研究问题，或我们为自己所问的，或为我们的伴侣问的。
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So here's the other issue, there's a price in this market, we might want to think of as the kind of focal price as an interesting price, and that's the price at which, the price I would choose were I the monopolist.
另外一个问题是,市场中有一个价格,可以理解为一种焦点价格,一个有趣的价格,这个价格是,我作为垄断企业时所选择的价格
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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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But in hard drives where we actually have these moving platters, here is in fact, how we get from electricity and magnetism to those zeros and ones.
但是在传统硬盘中我们确实有高速运转的磁盘，这就是事实，但问题是我们如何,把电磁信号转化为0和1的。
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We took the problem of size a thousand, we divided it in half.
当我们遇到一个规模为一千左右的问题时，会将其分为两部分。
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So the direction that music goes can also affect how we feel about it, our mood about it, so I think the next question-- I play another piece for you.
所以乐曲的走向,同样可以影响我们对它的感受,影响我们的情绪,因此我觉得下一个问题,我为你们弹奏另外一曲
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you have a mathematically complete problem.
这个问题就转变为数学问题了
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Question number two.
此为问题二。
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If you would like to flag them as private, because you just don't want your classmates to see what you're asking, you can certainly do that.
如果你想要把它们标志为私有的，不想让你的同学们,看到你问的问题，你当然也可以这样做。
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I'm going to let t of b be the number of steps it takes to solve the problem of size b.
我会设立一个t作为,计算指数为b的时候解决问题需要的步骤数。
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I just reduced it to a smaller version of the same problem.
我刚刚把它简化为一个更小的同类问题,这就是我可以写出能解决更短字符串的例子。
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The heap offers us a solution to that problem.
堆就为那个问题提供了一个解决方案。
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That has been attacked and is largely not believed these days for a whole lot of technical reasons that I don't want to trouble you with right now.
但这种说法却因为许多技术上的问题被抨击,而且如今并不为大多数人所相信,现在我并不想用这些问题来困扰你们
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Once again, the computer revolution has served as an illustrative case study.
我们再次以计算机革命为例,来说明这个问题。
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What's the point of this? Again, now that I can think about things recursively, I can similarly break things down into simpler versions of the same problem. It could be one version.
这些的意思是什么呢？再一次我想说,我既然能够以递归的方式思考了,那么我就可以简单地把问题,转化为更简单的同类问题。
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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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Ah, n times, because for each value of i, I'm going to do that m thing, n*m so that is, close to what you said, right?
因此这就和你说的差不多了对不对？,这个问题的复杂度为，让我写下来，是-对不对，是？
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