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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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so we ended up in like the business part of London and we had no clue where we were.
最后我们走到了伦敦的商业区，我们完全不知道我们在哪儿。
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Last week, you'll be writing your second paper and I'd rather spend time on that than doing any outside reading.
最后一周，你们会写第二篇论文,我宁愿花时间在那上面,而不愿做一些课外阅读。
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We were kind of reluctant to take on ideas from Germany, of all places, but we finally did.
我们美国人有点不愿意接受,德国人的想法，不过我们最后还是接受了。
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At the end of last class I suggested that from here on I'm going to be assuming that there's no soul.
上一节课的最后,我说了从现在开始,我假定灵魂是不存在的。
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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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I think it depends on whether the list is odd or even in length. Actually, that's probably not true. With one, it'll probably always get it down there, but if I've made it just equal to two I might have lost.
是奇数还是偶数，事实上,这是不正确的，如果最后剩下一个,那可能得到了结果,如果剩下两个，可能错了,所以，首先我们要格外。
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Now, the last thing I want to show you is on a less skeptical note.
最后我要向你们展示的是一个不那么可疑的东西。
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It eventually sticks in you but you shouldn't try to memorize everything.
它最后会铭刻在你的脑子里,但是你不应该试着记住所有的东西
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Finally, it might be kids don't know things.
最后,也可能是由于儿童的确不知道
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The peak occurs a little bit later and then there's a less rapid decline here, and then blood sugar actually ends up a little above this initial level, and therefore you're less likely to eat because you're less hungry.
峰值出现得比较晚,下降也较为缓慢,最后血糖结束在比起始值稍高的位置,因此人就没有那么想进食 因为不感觉饿
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So I ended up getting into Berkeley, A&M, Purdue and... Oh, no, no, Boston University, not NYU.
而我最后可以去伯克利，德州农工学院，普渡大学和……哦，不，不，还有波士顿大学，不是纽约大学，
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So I heard a lot of people say "No that's my last outdoor direction trip."
所以我听到很多人说,“哦不，这是我最后一次远足“
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She's rendered motionless and she's finally unable to speak.
她变得静止了，最后她发现自己说不出话来了。
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But, the thing, it becomes less and less funny and not at all.
但这件事情,渐渐不那么好笑,最后沦为空谈
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The rat did not eat or drink until it died.
那只老鼠最后不吃不喝而死。
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And finally, and most important-- these others have been pretty straightforward-- but what has not been straightforward is something that you might listen to many, many times and not be aware of, and that is chord changes.
最后,也是最重要的途径,上述的三种途径都非常直截了当,不过也有些不那么直接的东西,即使你听了成千上百遍,也不一定会注意到的是和弦的变化
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And they're, maybe they are rushed for a deadline or they're not...
他们，也许他们为了最后期限而赶紧做，或者他们不……
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They ended up moving to a small town and no longer engaged in subsistence agriculture, if his parents had, or his grandparents.
最后他们移居到一个小镇上,不再把持小农经营,不像他爸妈,或者祖父一辈
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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 in the Methuselah case,I've stipulated, it ends up not being very much like me at all.
在玛士萨拉的案例中，我规定，最后的我完全不像我自己。
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And then when I get to the very end, I'm going to return the bigger of with i and without i.
然后当我到最后时，我会返回包括i物品,和不包括i物品的,总价值中的较大值。
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And, finally frustrated, Hitchcock went to the actor, leaned over, whispered in his ear, "Your parents have left you " and they're never coming back."
最后他沮丧极了，走到那个小演员身边，俯下身子凑到他耳边说，“你爸妈刚把你丢在这了,他们再也不回来了“
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And for me it's fun because I may not know the novel that you end up picking, and so it is a kind of challenge for me to take a novel that you've chosen and come to grips with it myself It may be one that I know.
我也觉得很好玩,因为我可能不知道你们最后选择的小说，所以对我来说,认真对待你们选的一本书很有挑战性,可能是一本我知道的书。
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When we think about the theory of dividend or debt we end up with irrelevance-- it doesn't mean anything-- but the companies' boards talk about it incessantly and it seems to matter a lot to them.
我们一讲到股利或者负债理论,最后都是不相关的,没有什么意义,但是公司的董事们不停的提起这些,看起来又对他们很重要
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No. The last movie he had finished was in complete control of was F for the Fake.
不，他完成的最后一部影片是,《F就是D版》
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He says,Okay,last attempt to make-- you're not being very reasonable, he says.
他说，既然如此，那就用最后一招-,你太不理智了，他说。
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And they never do.
但是最后还是不写。
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The reason it printed that is I accidentally had my finger on the control key, which said print the last thing you had.
这是正确显示的，原因是刚才,我不小心按住ctrl键了，也就是这会显示你最后写的东西。
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But I want to end this first real class with a bit of humility as to what psychologists know and don't know.
最后,作为第一堂教学课的结束,我还是想对心理学家们知道什么,不知道什么,保持一种谦虚的态度
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