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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 that can be unsettling when we think of this as happening at a certain contemporaneous moment in the history of thought.
如果把这个问题放在思想史的特定时期来想,它可能是难以解决的。
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That are not readily dealt with in a prograing problem. It also deals with issues of some of the subtleties of things like aliasing.
它还和一些很细微的问题,比如重名等有关系,因此这不关编程的事儿。
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It's an important one for Milton, and it's important because it touches on a lot of more consequential questions.
这是弥尔顿的一段重要思考，因为,因为它涉及到了很多更具深远重要性的问题。
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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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It's just not possible to solve some of these problems by hand and this isn't even a domain that's necessarily into the world of CS but speaks to you the applicability of it all.
手工处理这些问题似乎有些不大可能,但这还不是,计算机科学要解决的主要问题,我们的目的只是为了告诉你它的用途。
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Because of Western civilization's emergence as the exemplary civilization, it also presents problems to the whole world.
虽然西方文明的崛起,作为现代文明的模板,但是它也反映出了世界范围内的现存问题
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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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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 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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It also raises the question of how a self is made.
它还引出了如何自我塑造的问题。
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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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I think one of the greatest circles for moral good is storytelling where you're invited to take the perspective of another and see the world as they do.
我觉得宣扬德行的最好办法之一,就是讲故事,它能促使你从别人的角度看问题,看到别人眼中的世界。
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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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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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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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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 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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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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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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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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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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Does it give you the answer that you expected it to give? Often, in practical problems, you'll spend just as much time doing performance debugging. Why is it slow?
它返回了期待中的结果了么？通常,在实际的问题中你会花，同样多的时间在性能调试上,它为什么运行这么慢？
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So if I were to solve this problem, here's the way I would do it. I would say, first thing I want to do, is I want to input a value for the base as a float.
如果我想要解决这个问题，这就是我要解决它的方式了，第一件我要做的事情就是要,输入一个浮点数作为三角形的底。
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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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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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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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