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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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You know, if you have power, if you have money, you know. So you can cruise all of them in one night.
如果你有权利，有金钱。那么你可以在一个晚上去个遍。
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And that property could be the volume, like if you have a mercury thermometer , the volume of the mercury.
这种性质可以是体积，如果你有水银温度计,水银的体积。
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If you knew only the third derivative of the function, you can have something quadratic in t without changing the outcome.
如果方程里有三阶导数,你就可以引入一个二次项,但是结果却不会变
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If you have trouble, we will be having office hours where you can go and get some help.
如果你有问题，我们会有办公时间,你可以过来问我们。
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Well, you can implement this in a few different ways but here's one approach that uses some int counter=0 of the syntax we just looked at, int counter equals 0.
当然，你可以有好几种方法来实现这一目标,但是其中一种方法,只需要用到我们刚刚看到的那种语法。
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You'll learn a lot more about this if you take organic chemistry, but, In fact, you can then go on and make a bunch of other different kinds of very interesting molecules.
如果你选了有机化学课，你会对它有更多的了解，但是，实际上，你可以继续制造出一堆,其它不同类型的有意思的分子。
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And so the thing to do, unless you have something else, you would go for your sword.
怎么办呢,除非你有别的东西可以当做武器,不然就只能拔剑战斗了
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The Federal Reserve has a list which you can find on their website of dealers who are eligible to participate in Treasury security auctions.
美联储有一个交易商的名单,你可以在他们网站上找到,其中的交易商有资格,参与国库证券的竞标。
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Well, you have a roommate and your roommate you could evaluate on "The Big Five."
你们都有室友,你可以用”大五人格“来评价他们“
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We have those letters. You can go and touch them.
我们有那些信，你可以去摸摸它们。
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You can think of this as being a mile long.
你可以假象它有一英里长
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You could have,for example,some sort of suicide pact.
你可以有共同自杀的行为。
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If you think about what ancient food gathering habits used to be like, you see things like this where people are out gathering food that is growing naturally, and you can think about what would-- what sort of conditions this would create and what kind of hardships it would create.
如果你想知道古代食物采集的习惯,请看这张图,人类都在野外采集自然生长的食物,你可以设想到,条件有多恶劣,生存有多艰难
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We talked about two weeks ago, that if you had a population of cells, you could grow those population of cells and you could make, if they adapted the culture properly, you could make an infinite number of cells from one starting solution.
两周前我们讲到,如果你有一群细胞,你可以使细胞数量增长,如果培养得当,你可以,从开始的营养液中制造出无限数量的细胞
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You can use it to show that you have or do not have, posses or do not possess, something tangible or intangible.
你可以用它来表示你有或者没有的东西，不管是这些东西是有形还是无形，都可以通用。
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I want you to know if there is ever anything you want to say, you can be honest.
我想让你知道，如果你有任何事想跟我倾诉，你都可以诚实地跟我说。
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You can go way there's lots of books on this and articles on this; why cockfighting was more popular in the South, why country fighting and eye-gouging was--.
你可以去查阅,有很多相关的资料和书籍,为什么斗鸡在南方更盛行,为什么打架和挖眼珠子更
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So, I brought up this idea, "What if we could just use SMS? You could send what you're doing. It will go out in real time to all the people who are interested in hearing it. And then, it would be archived on the Web. You could also enter it from the Web and it would be device-agnostic.
所以我提出了这样的想法，如果我们只使用短信息会怎么样？,你可以发送你正在做的事，它会立即,让每个有兴趣听的人都看到，接着，它会在网上存档，你还能再网上读到它,而不需要设备支持。
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now you have this object which is going to tell you whether other things are in thermal equilibrium now.
现在你有了一个可以告诉你,其他物体是否处于,热平衡的物体。
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Yes, as you may have, okay, maybe I could have, I see the smiles that there's something interesting in the comment.
是的，你可能有，好的，我也可以有，我在评论中看到了“笑脸“,说明这是有用的。
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That being part of a university community is a good thing for investing and you can see some evidence in that.
即,对于一个在校学生来说,经营投资是很有好处的,而且你可以看到一些关于这的证据
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When you're depressed, there are these, well, we could call them experiences, though the word "experience" is also somewhat ambiguous.
当你沮丧时,会有那些我们可以称之为体验的感觉,虽然"体验"一词也比较含糊
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She is the head TA and she's the one you should write to whenever you have a problem.
她是首席助教,只要你有疑问,都可以给她发邮件
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So in principle, in that election in 2000, there was at least four candidates, as it were, four things you could do with your vote.
原则上,在2000年那场大选中,应该有四个选举人,因为你可以投出四种选票
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It could be resistivity, if you have a thermocouple.
如果你有个热电偶，它也可以是电阻率。
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A food frequency--by the way, you also have the issue of whether the particular twenty-four hours that a person is interviewed is representative of their diet overall, because you can imagine how much your food intake varies from day to day.
食物摄取频率,顺便说下,还有一个问题,就是在选取的24小时里,测试者,是不是对总体有代表性,因为你可以想象,每天事物的摄入量都是不同的
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You can use this to express possession or a lack of possession of anything. Tangible or intangible.
你可以用它来表示你有或没有什么东西。有形与无形的事物都可以通用。
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But it's certainly open to you to decide that you think no,no, the personality theory is the stronger view.
但你自己的信仰可以自己决定，你可以决定人格理论更有道理。
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