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And then the things I have to ask is how much of a division do I want to do?
如果可以这么做，那么分治算法是个好的选择,接下的问题就是我需要把问题分成多少份？
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And like, when I saw it, I mean, it was really not a choice, like...
当我看到耶鲁大学提供的补助方案的时候，它并不是个选择性问题，因为……
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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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This is an interesting question: do they solve the moral hazard and adverse selection problem as well as banks do?
一个有意思的问题出现了,他们可以向银行那样,处理好道德风险以及逆向选择问题吗
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Oh. The question of why they chose--the baby-- the kids chose the rocket ship one as opposed to the Rafael one.
这个问题是,为什么婴儿会选择火箭飞船的贴纸,而不是拉斐尔的贴纸
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More than one can say or care to admit, it may ultimately be a matter of temperament which path one chooses to take.
比起大家可以说出来或者愿意承认的程度更甚，可能最终,选择走那条路的问题会成为一个个性问题。
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The question though is in which direction are we going to do it.
问题是我们选择哪个方向。
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Because I thought about it a lot Welles chose that word I guess obviously that frame was a happy picture ? In the word? Why that word?
因为我对这个问题想了很多,为什么威尔斯要选择这个词,我觉得很明显，这个镜头是幸福的,词内涵的深意？还是为什么选这个词？
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So, by the way, I don't mean this as a joke, in some sense there's always a third candidate and that comes from the problem we had earlier, because not voting is always an option.
顺便说一句,我不认为某种程度上说,是有三个选举人是一个笑话,这是由于一些由来已久的问题造成的,因为不投票也是一种选择
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But other people, in fact probably a larger percentage, default to the top option here: that these are personal health issues rather then public health issues; that people are making choices about what they eat, if they make bad choices it's their fault.
不过另一些人,确切说是很大一部分人,把问题归咎于以上几个选项,这是个人健康问题而不是公共健康问题,人们自由选择想吃的东西,即使做了不正确的选择也是他们自己的错
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I suggested just a minute ago that one of the relevant stories that is always lying behind Milton's discussion of human choice is the story from the Book of Genesis about Adam and Eve's choice to eat the forbidden fruit.
我一分钟前刚说过一个相关的故事,总是藏在弥尔顿对人类选择权问题的探讨背后,是《创世纪》中,亚当和夏娃选择偷吃禁果。
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This is a question of moral choice.
这是一种道德的选择问题。
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Here's our first question: what's the right thing to do?
下面是我们的第一个问题：,何为正确的选择？
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For example, one thing that could happen is that you build it up with wood and clay, you pick the wrong material for a bridge, and it will not stand up to the forces of nature.
例如,其中的一个问题是,选择了木头和粘土作为造桥的材料,你就选错了材料,这座桥难以与自然力相抗衡
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It's a matter of picking the right roles to go where I want to go.
这主要就是个选择正确的角色实现自己目标的问题。
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So I think it's your choice.
所以，我认为这是你的选择问题。
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In the first half of class, I'm going to tell you a little bit about the class and introduce some of the questions that we will think about over the term if you stay in this course.
在这堂课的前半部分，我将告诉你们一些关于这门课的事,介绍几个如果你选择这门课,就将在这学期里考虑的问题。
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Now that you have the ability to ask yes or no questions, you wanna be able to branch or fork in the road based on those answers.
你现在能问一些肯定或者否定的问题，根据结果,你就能进行选择了。
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An animal who has evolved a brain that says, "Take care of your offspring" will do much better from a natural selection point of view from an animal who has evolved a brain that says, "Eat your offspring."
逐步形成大脑的动物说，照顾你的后代“,好过从自然选择观点,看问题的动物说，吃掉你的后代“
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PROFESSOR: Great question. So the question is, how do you choose an algorithm, why would I choose to use a pseudo-polynomial algorithm when I don't know how big the solution is likely to be, I think that's one way to think about it.
教授：问得好，所以问题是，你怎样选择算法，为什么当我,不知道解决方案会有多大的时候,我要选伪多项式算法呢，我想这是一种思考问题的方式。
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The third group that was given the candies and put in a positive playful mood outperformed the other two groups significantly-- they thought about more options and they actually came up with better solutions with that problem.
第三组得到糖果,并获得积极愉快的心情,明显比另外两组有更好表现-,他们考虑更多选择,得出更好的问题解决办法。
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But then I asked another question, do you think trying to pick mutual funds, trying to find a mutual fund that will beat the market is a smart thing to do or not a smart thing to do?
但是接着我又问了另一个问题,你们认为选择共同基金,选择一种强于市场表现的共同基金,是不是明智之举呢
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Now the people in this poll were asked the same question and here's what they said, so 75% said that one reason is that it's more convenient, it's what people like to eat, it's heavily advertised, it's more affordable, people may not know which foods are healthy.
在这个调查中人们也被问到了这个问题,我们来看看他们的答案,75%的人说选择垃圾食品是因为更方便,合乎口味,广告的大力宣传,更便宜,人们可能并不知道哪些食物才是健康的
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One of the things you should begin to do, is to recognize what identifies those classes of algorithms, so you can map your problems into those ranges.
你们现在开始要做的事情之一，就是要学会辨别这些算法,这样你就能为你的问题，选择对应种类的算法了。
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However, the question is, how do I choose to behave, to act as a result of it?
问题在于，我要选择怎样的行为，去表达情感？
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The problem is that people in the room aren't going to choose at random.
问题是教室里的人并不会随机选择
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You can't stick your bad paper to the banker who knows everybody in the town; he'll figure it out and that's the -and so that's the problem that's solved by bankers.
你休想把垃圾债权随便卖给银行家,因为他对这个圈子了如指掌,他定会识破的,因此银行家们就解决了逆向选择问题
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What it is is a selective exploration of the question of the questions.
而是对“问题中的问题“的选择性探索。
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That gets us to the smart thief. Why is this thief smart? Because she took 600. And she learned 600 that in fact there is a good way to solve this problem. And that's what we're going to talk about next. And that's something called dynamic programming.
现在我们要当聪明的贼,这个贼为什么聪明呢？,因为它选择了,它知道这事实上是解决这个问题的好方法,这就是我们接下来要讲的,也就是动态编程。
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With this, if I can assume that accessing the i'th element of a list is constant, then you can't see that the rest of that analysis looks just like the log analysis I did before, and each step, no matter which branch I'm taking, I'm cutting the problem down in half.
读取数组中的第i个元素,是个常量时间的操作的话，我也就能像以前那样得到,这个算法是对数级复杂度的分析,并且每一步不管我选择哪个区间，我都可以把问题的规模缩小一半。
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