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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 sometimes what we do, what we want to do is have them solve problems before problems get to be too big.
所以我们做的这些，就是为了在问题发生之前就解决了。
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And all these political considerations or policy considerations, in some ways, are coming together in President Obama's council.
所有这些政治方面考虑,或政策考虑，在某种程度上，都交给了总统奥巴马的委员会解决。
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Well, this is a problem that we have solved and will solve in the weeks to come. See you Monday.
嗯，这是我们解决了的一个问题,并且将在接下来几周来解决这个问题，下周一再见。
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We've had a great deal to do with it, but of course we still haven't the slightest idea what it is.
我们花了很大的功夫来接解决这个问题，但我们仍然一点都不知道语言是什么。
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So I haven't done magic, I've given you a really fast way to solve a knapsack problem, but it's still exponential deep down in its heart, in something.
所以我并没有施魔法，我已经告诉了你,一种快速解决背包问题的方法了,但是某些方面它的核心仍然是指数增长的。
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If you give a sign, on top of the number, that takes care of all ambiguity in one dimension.
如果你在数字前加一个符号,就把一维运动的所有的歧义解决了
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Here, the problem is solved by injecting it directly into the cell, shown here, and then that's one issue with gene delivery.
现在,这个问题已经通过,将其直接注入细胞的方法解决了,图上这里,这只解决了基因输送的一个问题
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So is this a problem that can be fixed with the accounting profession, the accounting process or something we just have to live with?
那么，这个是可以通过修正,会计职业，会计程序来解决的呢,还是只能就这样了？
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So no harm is done, once we've clarified the question that we're trying to ask, if we summarize that question in a bit of a jargon or slogan.
其实没什么的,一但我们证实了我们,试图想要解决的问题,如果把这个问题用术语或行话简化
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Sommerfeld came to the rescue in 1916.
在随后的1916年，索末菲解决了这一危机。
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So we've got a chord progression.
现在我们把和弦进行的问题解决了。
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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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In some ways I think that that's because the poem Lycidas seems in some ways to solve the problem of Milton's waiting, this problem that he has of needing to wait.
就某些方面而言，我认为是因为,看起来以某种方式解决了弥尔顿耽搁多时，却又的确有等待的必要的问题。
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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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I only want to suggest to you with this long preamble that much of the work that lies before us is actually in the past and we have already accomplished it.
我之前讲这么多，只是想让大家知道,这么多的疑问我们之前已经遇到了,并且已经解决了。
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OK. At this point, if we stop, you'll think all algorithms are linear. This is really boring.
可能我们就认为所有的解决这个问题的，算法都是线性增长的了，真很没意思,但是他们真不是对不对？
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But for those of you who decide to go on in computer science realize there is a whole interesting world that uses details like these in the world of networking, in hardware, to actually solve some real world problems.
而对于你们中想要在计算机科学,方面有所发展的人，将会遇到一个非常有趣的领域,在那个世界里，会有许多像网络世界，硬件界,这样或那样的小细节，但又往往是这些小细节才解决了许多真实世界里的问题。
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If you can do this, you can do most of the problems you will run into.
如果你会做这个,那么你就能解决碰到的大部分题目了
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There, they're just storing a database of previously solved problems.
好了，它就是一个存储之前,解决过的问题的数据库。
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You say, "Yeah, here's a math problem I haven't solved before, but so what? I've just done so much math, " it holds no appeal to me before."
你会说“是的，我没解决过这个数学问题，那又怎样？我研究了太久的数学，我对它失去了兴感“
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Well, realize one of the themes in this course and really one of the themes in programming and solving any problem with a machine is going to be really to just take small bites one at a time out of these problems until the end result ultimately is that you've actually bitten off a fairly large fairly interesting problem and in the aggregate, you've actually implemented something pretty sophisticated.
好吧，让我们先想一下这件事带给我们的主题,编程和解决问题的思想,一台机器最开始只会一步一个脚印,沿着要解决的问题向前迈进,直到最终的结果出来,最后你会发现，你已经解决了一个相当大,相当有趣的问题，而这个问题在最初看起来确是相当复杂的。
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Pardon? I could square x but maybe I should just do something pretty simple here. Suppose-- whoops.
对不起我没听清，我可以求x的平方,但是好像这里我做点简单的,改动就可以解决问题了。
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s We are back over to E as a function of n, l, m and s, only we got there through this other torturous route.
我们回到将E作为函数n，l和，只要我们解决了这个烦人的路径。
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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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Take the example of "plastic" again: "Oh, gee, that's a strange word," we say, so we go to the OED , we see it meant something different then, our problem is solved, and we continue.
再拿“塑料“来举例：,我们说，“哦，那是个生词“,所以我们去查牛津大学英语词典，我们发现它有些不同的意思，问题解决了，我们继续下去。
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It solves a slight bug if we don't use it at all, but more on that in the future when you talk about files and creating files.
它解决了一点缺陷，如果我不用它，但是更多的是在以后当你们讨论,文件和创建文件时。
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Because if b was odd, then b minus one is even which means on the next step, I can cut the problem in half again.
这意味着我在下一步里解决的问题,规模要小了一半，好，课堂材料的第三题。
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The way we do that is we guess, and the guessing has been going on for 300 years, so we sort of know how to guess.
我们的解决方法就是猜,猜的方法已经沿用了300年,因此我们差不多知道该怎么猜
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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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