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It literally halves the amount of time it takes to solve that problem but we can actually do better.
它能把解决问题时间的缩短一半,但其实我们能做的更好。
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He is very technical. He's, pretty much any question you have,
他非常专业。几乎能解决你所有的问题，
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And we do so by a quantity called the average valence electron energy.
我们可以通过,一个叫做平均价电子能的量来解决这一问题。
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Then things suddenly blow up on you, but you'll recover and you'll figure something out and then you'll move from there.
然后突然间爆掉了，但是你会修复好自己而且解决问题,然后你就能从那个经济低谷走出来。
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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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And so frequently what we try and do is, we take a new problem and map it onto an old problem so that we can use an old solution.
我们经常做的一件事就是，我们处理一个新问题时,把它归结为一个老问题,以便我们能采取老的解决方式。
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And the prospect of having a lot of time to pursue math problems of a richer and deeper sort seems fairly attractive.
要是能有时间,解决更困难更深奥的数学问题,对我相当有引吸力。
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What does it require to be a successful mechanic, to do all the mechanics problems?
怎么才能当个成功的力学家,并能解决所有的力学问题呢
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It's that I think we can resolve problems, we can reconcile issues.
我认为，我们能解决问题，能调解争议。
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Let's quantify the energy value. If you go through and solve for energy, you will get this equation.
我们来确定一下能量值，如果你试图寻找,解决能量问题，你能得到一个方程式。
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What is the class of algorithm that's- that probably applies to this, and how do I pull something out of that, if you like, a briefcase of possible algorithms to solve?
以及哪种算法-,可能可以应用到这类问题上,问题本身又能提取出什么东西来，以及可能解决问题的一系列方法的简介？
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Well, I solve 2 or 3 exponential problems before breakfast every day. You know things like, how to find my way to the bathroom is inherently exponential, but I manage to solve it anyway.
你要知道如何找到,我的浴室就是一个，固有的指数型问题,但是我还是能解决它。
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On Thursday we'll do a more careful analysis and try and understand how I could have accomplished this seemingly magical task of solving an exponential problem so really quickly.
在周四的时候,我们会做进一步的分析,并且尝试理解我为什么,能如此快速的解决这种,看上去超复杂的指数型问题。
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But with this example alone can you realize -- that with some more exercise of thoughts and intelligent-- I don't wanna say intelligent design here, intelligent design can you actually solve this problem so much more efficiently and just as correctly.
但通过这一例子，你们应该能认识到,通过更多的思维训练-,在这我并不想说智能设计，你就能真正更高效，准确地,解决问题。
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Then, of course, you can do more complicated things.
接下来我们就能解决一些更复杂的问题
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It's definitely an opportunity for help, but particularly, as an opportunity to work with someone for just a few moments to help get you unstuck or to get you past some stumbling block that, otherwise, if you struggled with on your own, you might sink or waste even multiple hours on just something that you're not seeing.
这是一个寻求帮助的机会，特别是，作为一个与某人一起工作的机会,他们能帮助你解决问题,或帮助你越过绊脚石，否则，如果你自己单独奋斗，你可能,浪费很多时间在,你不了解的东西上。
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All it could do, though, was solve those equations.
它所能做的就是解决这些方程组问题。
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Perhaps the right kind of lobotomy would do the trick.
适当的额叶切除术就能解决问题。
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So now we're left with a problem that's but 500 pages large and so what might a human do now to find Mike even more closely?
现在我们只用翻500页就能解决问题了,接下来，怎么做才能离Mike这个名字更近一步？
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That's the question we're going to try and address. If we can do this, this is good, because first of all, it removes any questions about what machine I'm running on, it's talking about fundamentally, how hard is this problem, and the second thing is, it is going to do it specifically in terms of the input. Which is one of the things that I was worried about.
这是一个我们接下来要去,尝试和解决的问题，如果我们能做到的话会很不错，因为首先，它解决了结果可能和我,运行的计算机有关系的问题，因为这从根本了告诉了，我们这个问题的复杂度，第二件事情,就是这种方法可以依据输入的大小来计算,而这正是我最担心的地方。
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in the context of a web page. And increasingly that is where the human computer interaction is, and so will you be empowered by terms and not to just to make a website per se but to make an application, something that's of interest to you, something that solves problems, something that lets you tell someone through the most electronic means possible that you saw them somewhere on campus.
以网页内容的形式表现出来,人机交互的运用将越来越多，而且你将学会编程,不仅能制作网站，还能做出应用程序，一些你感兴趣的东西，一些解决问题的手段，还有一些可以让你通过使用,现有的电子手段来分辨出,校园里面看到的一个人的东西。
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So always amazing to us how we go into the problem, our eye or mind can see one class of solutions, but the math will tell you sometimes there are new solutions and you've got to respect it and understand and interpret the unwanted solutions, and this is a simple example where you can follow what the meaning of the second solution is.
解决问题的方式总能让人惊喜不已,我们的眼睛或思想可以看见一类解,但数学有时会告诉你还有新的解,你不能忽视它,而是解释这些不期而至的解,这只是一个简单的例子,由此你可以理解第二个解的意义
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We do expect the majority of the students to tackle, as you'll see tonight when the PDFs go online at 7 PM, the so called standard edition of each problem set.
我们希望你们大部分能解决这些问题，你将会看到我们下午7点钟,会把PDF放到网上去，也就是每套问题的标准版本。
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I'll let you chase it through, it does work. What I want to look at is, what's the order of growth here?
我会让你们去运行这个方法的，确实能得到正确答案，我想问的是，这个解决问题的方法的增长率是什么？
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So what can we do to solve this?
来解决这个问题，我们能怎么做？
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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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