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What would he say?" And I said, "That last thing is what you can't get, Carlo. Nobody can get to that last thing.
看他怎么说“，我说“你想知道的最后这件事没法知道，卡洛，没人能知道的。
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Before eating the last slice, you could check with your friends to make sure it's alright for you to delve in.
在伸手拿最后那片披萨前，你可以跟你的朋友确认下，你吃完最后一片有没有关系。
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And all this is, is saying that when you take a mixed second derivative, it doesn't matter in which order you take the two derivatives.
麦克斯韦关系的本质是,当你考虑混合的二阶导数时，求导的顺序不影响最后的结果,现在，我们利用这些关系。
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Otherwise, if you ask them to pay more at the end, then a lot of people won't have the money.
不然,如果你向他们在最后索要更多的还款,很多人都不会有那么多钱
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And one possible response, the last one we'll look at, is, what you should, at least sometimes, s kill yourself.
一个可能的回应是，就是我们将讨论的最后一个话题，你应该做的，至少是有时应该做的，是自杀。
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Finally, remember myelination, where you sort of get this fatty sheath over your neuron to make it more effective?
最后,回想一下髓鞘的形成,你会在哪里长出脂肪鞘,去包裹神经元,使得神经元更有效率
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And at the end of the day the ultimate test is whether you're able to get done what you want to get done, or what you think the market demands from you.
每天最后的测试是看你是否,能够做成自己想做的，或者你认为市场会对你要求什么。
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So thankfully, modern operating systems allow you to put parts of files here, parts of your file here, parts of your file here, but the end result is that your files get fragmented.
因此，谢天谢地，现代操作系统允许你,把这里的文件进行分块，在这里存一部分，在那儿存一部分，但最后的结果是你的文件变成了分片的。
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Because we do try to give as much partial credit as possible in these exams, since there are a lot of places where small mistakes can result in the wrong answer.
因为我们会尽量把能给你的步骤分都给你,在对于这种考试时，因为有很多地方,只要出一点小问题就会导致最后结果出错。
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Okay. finally I want to give you some tips on how to do well in this course and what attitude you should have.
最后我想给你们一些建议,如何学好这门课,你应该抱着什么样的态度来学
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If a White House isn't careful, all you end up doing with the schedule isn't in bucks.
如果不认真处理总统的时间表，最后你就会,付上很大的代价。
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But if you keep on doing boxes within boxes, I'm going to converge in on that intersection.
如果你不断缩小方格,最后就会只剩交点了
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And you might every once in a while get this, at least as we've done it in this case, this large move out at the end.
一旦你得到了这个结果，至少像是我们在这个例子中得到的结果，最后有一个很大的唯一变化。
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What comes out is inedible, unusable until you finally-- what's the word that I want?
接出来的东西根本吃不了也说不定,直到你最后,要一个什么样的词呢
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I wanted to talk about one last concept and this is one the boxes from Chapter 5 and you've already been using this in your homework.
我想说的最后一个概念,就是第五章里的一节,你可能已经在作业里用到了
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You would think, well, they finally solved it, it's terrific.
你会想，好吧，他们最后解决了这个，太可怕了。
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It's a good time you are in college at university and you're almost done. You've finished your last class.
你在大学度过了一段美好时光，你快要完成学业了。你已经上完了最后一门课。
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Now you do have an opportunity-- this class does- that my class has never had before, and that is to nominate your own novel for the last one that we read, one of your choice.
现在你真的有了个机会-,在我的课上有了个机会-,去推荐一本小说作为我们的最后一本读物,你们自己的选择。
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And, I mean, for example in France-- and if this ever disappears I'm going to be one unhappy guy--the license plates, the last numbers of the license plate tells you where people are from.
我的意思是,举例来说,在法国,如果这件事取消的话,我就会十分不高兴的,它就是汽车牌照,牌照上的最后几位数告诉你,这个人来自哪里
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That could be an epigraph on this course, if you like, because in the end when this Civil War will finally come both sides will say over and over and over again that they are only fighting for liberty.
你愿意的话,也可以把这两个词记下来,因为在最后,当内战最终打响的时候,双方都会一遍又一遍地重申,他们只是为了自由而战
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Okay, right, so if you're actually making food and you're creating some of a recipe then it's very difficult to know exactly the portions that go in when you eat the final food product that comes from it, so that's right. How many of you--go ahead.
对的,所以如果你自己做饭,你会有自己的一套食谱,你很难了解最后的成品中,原成分的精确含量了,所以就是那样,有多少人,你说
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If they have one year when they lose everything, it doesn't matter how much they made in the other years.
如果你最后一年全亏完了,不管之前收益多高,最后分文不剩
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And this is because as you start writing--saving files to your hard drive, what happens is you might save this file here, then this one, then this one, then this one, but very reasonably you might go back eventually and delete this one.
这是因为当你开始对硬盘驱动器进行读写时,你可以保存一个文件到磁盘的某处，然后再一个，再一个，又一个，最后你可能回到这,并删除这一个文件。
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And so to deal with this last one, you need to develop style. All right?
因为为了对付最后的这种问题，你需要形成一种风格对不对？
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This means that you would have to pay extra money at the end, but they decided that people have trouble doing that.
这表示你在最后必须支付额外的款项,但他们觉得人们对偿还额外款项会有困难
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Finally, in the examples we're giving, whenever the pig does something you like you reinforce it.
最后，在我们之前提到的例子里，每当那头猪做出让你满意的行为,你就会强化它。
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I'm going to give the last class a problem which is pretty interesting, which is what happens to you when you have an elevator.
我将讲解最后一个例题,非常有趣,也就是当你在电梯里的情形
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The last question for the evaluation is should you take the class or not?
关于评级的最后一个问题是你是否来上课？
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You believe everything. Next, you get a college education and you don't believe anything, and then you reach the level of wisdom, the Higher Naivete, and you know what to believe even though you can't prove it.
你会相信眼前的一切,然后你接受大学教育,这时你又开始怀疑一切了,最后你将达到,"高级天真"的智者境界,这时即使没有证据,你也会去相信
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