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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 we've now whittled this problem down into half and so we can literally and dramatically throw half of the problem away.
如此一来,我们就把这个问题简化了一半,我们可以大胆的扔掉另一半。
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It seems like the moment you begin to look at this question, you were just like peeling the onion.
感觉你们在看待这个,问题时，就像剥洋葱一样。
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Long before Milton had begun to tackle the problem, Christians had for centuries, for millennia, puzzled over the logical inconsistency between these two concepts.
早在弥尔顿应对这个问题之前，基督教徒们就已经花了成百上千年，为这两个概念之间逻辑上的前后矛盾感到困惑。
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It's based on a confusion. Once we see the confusion, we can see what the answer to our question is.
是在混淆概念,一旦弄清了混淆的地方,这个问题就好回答了
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So, there we go. But somewhat here in war and peace of battle is slowly being relegated to the background.
所以战争与和平问题,就慢慢转移到这个背景上
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It's an example of a very common tool that's going to be really useful to us, not just for doing search, but for doing a whole range of problems. That is, in essence, the template the describes a log style algorithm.
不仅仅是做搜索,还可以解决一整类问题,本质上，这个模板就描述了,对数形的算法,我们一会再回来。
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So that was one interesting question that came up, so keep this in mind if you're wondering about this idea of chords.
这样就有了一个有趣的问题，将这个关于和弦的疑问保留在脑海里。
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When we ask this question-- this very important question, suddenly we see possibilities that we didn't see before.
当我们提出这个极为重要的问题，就会看到之前没看到的潜能。
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So, if you're at hanging your exam from high school on the fridge and you want to make it look more impressive, you could just rewrite the question as that, and essentially you're answering the same thing.
所以如果你把你的高中测试题,挂在冰箱上,而且想让它看起来更难忘，你仅仅重新写出这个问题就可以了，本质上你是在做相同的事情。
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I'm actually going to skip over this for reasons of time and just go to some examples of the unconscious in modern psychology.
由于时间的关系我就不讲这个问题了,直接给大家举一些,现代心理学中的无意识的例子。
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Now we've set it up as a matrix, let's try again that question I asked before.
现在我们就把这个矩阵写好了,我们现在来回答之前的问题
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It's not as equitably distributed as one would like it to be distributed.
因为分配不均的问题,这个问题从来就没有顺过民意。
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And that really gets into the question fundamentally so what.
那就进入到这个,根本性的问题，那又怎样。
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I got a note from him and I'm still trying to figure it all out That's what happens; the system performs very well and then it becomes vulnerable.
我对他的回答做了笔记,我还在尝试把这个问题搞清楚,事情就这样发生了,一个系统本来运行良好，然后就变得很脆弱。
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and that was the reason I wanted to mention that now.
让我想到这个问题,所以我现在就把这些说了。
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In fact, is doing some work with Professor Corbin and me jointly on the issue of food and addiction, and she'll be doing some lecturing on that later in the class.
事实上,她正在和柯宾教授还有我,一起研究食物成瘾问题,她之后会就这个话题给大家做一些演讲
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you have a mathematically complete problem.
这个问题就转变为数学问题了
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And so, if I do that, this now becomes really easy.
如果我这样做的话，这个问题就会简单点儿了。
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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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And this is particularly a problem the younger you get.
往往儿童越小,这个问题就越明显
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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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The algorithm doesn't know that it's going to take this long to compute, it's just busy crunching away, trying to see if it can make it happen.
这很可能会发生，但是你知道的,算法本身并不知道，计算这个问题需要多长的时间，它就一直忙碌的算啊算。
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As I said, it looks as though to answer the question, "Could I continue to exist after the death of my body?"
如我所讲,似乎要回答这个问题,就得回答"肉体死后我能否继续存在"
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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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Ah, n times, because for each value of i, I'm going to do that m thing, n*m so that is, close to what you said, right?
因此这就和你说的差不多了对不对？,这个问题的复杂度为，让我写下来，是-对不对，是？
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That would let us tackle it with dynamic programming.
回答好这个问题我们,就能用动态编程法解决这个问题。
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But in one step, I've reduced this problem in half.
我就将这个问题的规模减半了，我不仅仅是缩小了问题的规模。
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You might be asking where the 2 p z orbital is and we'll get to that soon once we need it.
你可能会问2pz轨道在哪里,我们等会就会讲到这个问题。
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If this was a class in which we were going to worry about the general problem of identity across time, this would be a problem we'd have to directly face.
如果我们要讨论的是,贯穿时间的,质的总的问题，我们就需要,直面这个问题。
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