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So it's a complex issue, and I should leave it having said this much, at least for the moment.
因此它是一个很复杂的问题，而我就讲到这里，至少暂时这样。
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So there was a good question in Wednesday's class about the de Broglie wavelength and if it can actually go to infinity.
在周三的课上有个关于德布罗意波波长的问题,非常好，就是它能不能到无穷大。
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So, find an important problem. Work on it, and to say nothing of the wireless device there.
所以，找到了关键问题，并努力去解决它，先说明，这并没有无线设备。
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Anybody have any questions on that, because when we voted, the majority of the class thought it was reversible Yes.
上节课我们投票时，多数人都认为它是一个可逆过程，而现在大家应该都知道了,它其实是不可逆过程，有问题吗？
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And so you could construct all subsets, check that the weight is less than the weight of the knapsack, and then choose the subset with the maximum value.
因此你可以构建所有子问题，判断它的重量,是否小于背包的重量，然后选择值最大的子问题。
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Even in the case of this spring, when you pull it, if you pull it to the right by some force.
甚至是在这样的弹簧问题中,当你拉它的时候,如果你用力向右拉
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If we weren't so pressed for time, I kinda wanna see how long we could get away with this before it gets awkward, but that, in fact, is an infinite loop t hat's hopefully deliberate.
如果有时间，我想看看,我们需要花多长时间解决这一问题，事实上，它是我故意,使用的无穷循环。
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Now theory resembles philosophy perhaps in this: that it asks fundamental questions and also at times builds systems.
理论和哲学的相似之处在于：,它探讨根本性的问题，而且有时也建立系统。
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And only after a while will we turn to the second and third question: Does it survive and, more particularly, is it immortal?
接下来不久,我们将会转而讨论第二个和第三个问题,它能幸免一死,或者,更严格地说,它是不朽的吗
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It's not just 140 characters, it's potentially $140 because they can't make the sale.
这并不只是140个字符的问题，它只是潜在的140美元，因为这些字不能卖出去。
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So political philosophy is not just some kind of strange historical appendage attached to the trunk of political science; it is constitutive of its deepest problems.
所以政治哲学并非只是,奇怪的历史附属,依挂在政治科学的大主干上;,它是其最深层问题的本质。
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And we are also hoping to look at India's some important aspects of India's international relations, its relations with America, with China, with Pakistan with Middle East.
同时我们还会谈谈,关于印度国际关系的几个重要问题,关于它和美国，中国,巴基斯坦,还有和中东国家的关系。
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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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we'll send these questions to your TA so any time you get a clicker question wrong and you're confused, bring it up in the next recitation section and you'll be able to discuss it there.
交给你们的助教，所以任何时候,如果你们,答错了课堂问题，或者对它有疑问的话,可以在下次的,讨论课上讨论。
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It'll allow you to tackle interesting problems I'll have you to write from scratch, but it does mean that this skill here is going to be really valuable.
它会让你处理有趣的问题,我会让你绞尽脑汁的编写，但是这一点意味着,这个技能非常宝贵。
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That doesn't solve the problem we had before though Then I'm going to append it, and keep the last change for future use.
这样没有解决我们之前的问题,所以我要给它加上一个值，让上一次的变化能够用到未来的例子中。
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This was using something called a bisection method, which is related to something called binary search, which we'll see lots more of later, to find square roots.
你应该想起来,我们是以一个,叫做二分法求平方根的问题结束的，它运用了二分法去求一个数的平方根，二分法和我们将要花很多时间。
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OK. In particular, let's go over to here, and let me show you a second example.
一定是个坏办法，它经常是解决问题的。
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Where is the ingenuity there and how can we leverage that in our own problem solving?
那么其独创性在哪里？,我们在解决实际问题时该怎么去利用它？
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But realize that with these decisions, it's going to be a matter of style.
但是请认识到，用这些决定，它将会有风格上的问题。
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So I'm not suggesting that it's an optional problem set that you shouldn't do.
一个可做可不做的问题集,因为不做它你会后悔的。
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Well, you might think it's an empirical question, and in fact I am inclined to think it's an empirical question, varying from person to person.
你可能觉得这是个实证问题，我也倾向于认为它是实证问题，各人的情况各不相同。
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So the question is: how on earth did this come about?
那么问题是：它到底从何而来？
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And the reason it does is because of this overlapping.
但是它增长的很快,原因就是它的重叠子问题。
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It's about using it to think.
需要学怎么样利用它去思考问题。
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We could try to change it in a way that keeps much of the spirit of the personality theory, but avoids some of the problems we've just been looking at.
我们可以试着保留人格理论的精髓，但避开它给我们带来的问题。
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It avoids these problems of duplication and fission.
它能避免复制和分裂的问题么。
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Now the question is "how does it expand" and "why is it so difficult for us to understand, accept, assimilate and live according to the fact that we can make a difference, if we understand that what we need to understand is how change happens.
问题是“它如何扩大“,以及为什么我们难以理解，我们能够做出改变这个事实,并接受，被同化以及据此生活，如果我们能了解我们需要理解的,是改变如何发生。
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So if I type "man sleep," this is going to give me the user's manual for a program called sleep, but there's a gotcha and the problem set it makes clear, sleep notice that it says at top left sleep one.
所以如果我键入“man，sleep“，它将,给我一个叫做sleep程序的用户手册，但是这里有个参考信息，它使问题更清晰，请注意它指明在左上角。
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Fortunately, Square is a company 1 that has revenue from day 1 so we can look at constantly building that and we don't have to worry about much investment.
幸运的是，Square是一家,从第一天就有收入的公司1,所以我们可以看到在不断地建设它,而不必担心投资问题。
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