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And the first thing you do is ask is it an instance of some problem that other people have already solved?
而且你以前从没碰过这个问题,你首先要做的一件事就是问问自己,这是不是一个别人已经解决了的问题？
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And when you have an optimal substructure and the local solutions overlap, that's when you can bring dynamic programming to bear.
当你得到一个最优子结构,但局部解决方案有重跌时，你就可以引入动态编程,来解决这个问题了。
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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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Well, however we settle that issue, notice there's still one other assumption that all these positions still have in common.
不管我们如何解决这个问题，我们都会发现有一个假定,是这些观点都共有的。
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We're going to come back to this row and we're going to figure out not just this equilibrium, but all equilibria.
我们要回到这一排,我们将解决不仅这个均衡,而是所有的均衡
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Genesis is concerned to account for the origin of things and wrestles with the existence of evil, the existence of idolatry and suffering in a world that's created by a good god.
创世纪》被认为解释了万物的来源,试图解决罪恶的存在，盲目崇拜的存在以及这个受苦的世界,这是一个善良的神创造的。
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And they were kind enough to send us this magnetic tank which we'll call forth from the computer solutions to a series of problems that would occur on a simulated flight to the planet Saturn.
他们很友善，送给我们这个有磁性的水槽,用于计算机解决一系列,土星模拟飞行中,可能出现的问题。
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We all have our version of trying to wrestle with this: if God knows what you're going to do tomorrow, to what extent does it make sense to say that what you do tomorrow you do freely?
我们都有自己试图解决这个问题的方式：,如果上帝压根儿就知道我们明天要做什么，那么，说着明天会自由的从事自己想做的事情,究竟又有什么意义呢？
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But in terms of SI units, which become much more useful if you're actually trying to use intensity in a problem and cancel out your units, we're just talking about joules per second is what intensity is.
但是用国际单位制，这个变得越来越有用了,如果你实际上在使用强度,来解决问题和约化单位，我们仅仅讨论每秒钟的焦耳,这就是强度。
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Whatever you want to do; check your email, publish tweets, go shopping or whatever, it can be solved by this one box.
无论你想做什么;,查收邮箱，发布推特状态，网上购物等等，都可以通过这个搜索框解决。
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And although some psychologists and philosophers think they've solved it, most of us are a lot more skeptical.
尽管一些心理学家和哲学家认为,他们已经解决了这个问题,但大多数仍持有怀疑的态度
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Rule for taking derivatives, if you want to do this mindless application of calculus, you can do it.
按求导法则来做,如果你想解决这个微积分的简单应用,你可以很容易做到
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I went to see a rich girl I knew. In the morning she pulled a hundred-dollar bill out of her silk stocking and said, "You've been talking of a trip to Frisco. That being the case, take this and go have your fun." So all of my problems were solved.
我去看望我以前认识的一位有钱的姑娘,到了早上，她从丝绸钱袋里取出一张100元的支票说：,“既然你那么向往到圣弗兰西斯科的旅行，拿着这个去寻找你的快乐吧“，这下我的问题全部解决了。
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But they never completely settled the question for all Christians everywhere around the world.
但他们一直都没有完全解决这个问题,世界各地的基督教徒仍有不同意见。
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Define the path. Get all of these really clear, and you've basically solved the problem.
把所有这些搞清楚，你就基本上解决这个问题了。
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You would think, well, they finally solved it, it's terrific.
你会想，好吧，他们最后解决了这个，太可怕了。
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But then also a little bit about your history, where you come from, some of your experiences which have helped you or informed your opinions on this very difficult issue that the entire world really is spending a lot of time trying to work on.
然后再谈谈你们各自的经历，你们从何而来，谈一些你们自己的经历,一些帮助过你们，或形成了你们,就这个复杂问题的观点,这个全世界都在投入大量时间试图解决的问题。
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Until that's resolved, I don't think we can never be comfortable.
在这个问题解决之前，我想我们不会安心的。
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Again, same kind of reasoning says, given some value x, I happened to pick a small one here, what's an easy way to do this? Well, let's just start at one. That's my variable I'm going to change and check.
好，尤其是，让我们到这里来,让我给大家看看第二个例子,让我把这个注释掉，这是我要解决的，第二个问题，假设我想找到一些整数的,所有除数，我想要找出来这个数的所有的除数。
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And so if you choose to elect the hacker edition of this week's problem set the challenge will be to figure out not only how to implement the game but how to implement a solver for the game.
因此，如果你选择这周的应用题目为升级版,那么你将面临的挑战,不仅是如何实现这个游戏，而且,要实现此游戏的解决方法。
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Like how can you possibly figure that out with actually compelling a machine to do it for you and sure enough we chatted for a few moments, I kind of gently pointed out well it's kind of like problem 7 last year.
就好像去逼计算机为你做这件事,就能解决问题一样,我们确实谈过这个问题，我委婉地告诉他,这种情况与我们去年讲过问题7类似。
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All right. So you solve the problem and then, lo and behold, it turns out that: It is my friend Bumpy. Bumpy gives me a push.
好了，你们解决这个问题，然后，你瞧，结果竟是：,这是我的朋友，颠簸，颠簸推了我一把。
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All right,so that's the best way for the personality theory to get revised to deal with this problem.
好了，这就是人格理论调整后,解决这个问题最好的答案。
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This is going to turn out to do the trick as you'll find out in your homework assignment.
你们要在家庭作业中,解决这个问题
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So, how do we figure out first how to draw the skeletal structure of this molecule here?
那么，我们如何来解决它,首先是如何画出这个分子的骨架结构？
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On Tuesday we'll talk about a different way to implement Fibonacci, where the growth will be much less dramatic. Thank you.
周二我们将会讲一种,不同的Fibonacci数列解决方案,这个方案的增长会小得多，谢谢。
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other people had solved that problem for me, and this thing between quotes, we'll start calling a string.
至于如何实现的别人已经解决了，这个在引号之间的东西叫字符串。
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And I'm going to do it only using multiplication and addition and some simple tests. All right?
我只能用乘法和加法,以及一些小测试来解决这个问题？
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Suppose the other guy didn't exist, Suppose Pepsi didn't exist, so Coke has the whole market, then we would solve out this problem.
假设对手不存在,假设百事可乐不存在,那么可口可乐占领整个市场,然后我们就可以解决这个问题
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