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The last time you saw that for an ideal gas, the energy only cared about the temperature.
上次你们知道了，理想气体的能量只与温度有关。
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All right. So, let's pick up where we left off, first of all we're still on the hydrogen atom from Monday.
好，让我们从上次停下的地方讲起，我们还要讲周一讲的氢原子。
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And this goes back to the point I tried to make last time. Yes, the computers are really fast.
也会迅速膨胀,这就回到了我上次给大家讲的那一点。
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There were a few things I didn't get to finish last time in talking about particularly gene transfer in mammals.
我们还有一些上次未完成的内容要讲,尤其是哺乳动物的基因导入
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Now as I did last time, let me put in two axes to make the picture a little easier to draw.
和我上次做的一样,画两个纵轴来帮助我们作图
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What kind of knowledge, if any, can be had from the shattering experiences of revolution or rape, those models of history that I proposed last time?
什么知识能从我上次讲到的,历史形式的的粉碎性的经验里，比如革命或者强奸里获得？
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It would have been a perfect symmetry because last time we quoted Paul Ricoeur to the effect that these authors, Marx, Nietzsche, and Freud, were--and this is Ricoeur's word--"masters."
这里其实是很平衡的,因为上次我们提到保罗，里克尔的时候大意是说这些作者，包括马克思，尼采和弗洛伊德，按里克尔的说法，都是大师“
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- I would say that this is more of a-- more for fun than perhaps as enlightening as the pure visualizations where that we looked at last time.
我觉得这更加-,比我们上次看的演示,更加有趣。
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Bourgeois and burghers, as I said last time, are urban residents who are losing their privileges on the continent to big-time absolute states.
中产阶级和市民,正如我上次所讲的,这些城市居民是那些在欧洲大陆,被绝对主义国家剥夺权利的人
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Shelly Kagan The guy last time thought he was Shelly Kagan, believed he was professor of philosophy.
上次讲课的家伙认为他是，相信他是哲学教授。
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And, as I reminded you at the end of last day, the only reason I am doing this for you right now is I want to elucidate the principles.
就像我上次课的最后跟你们说过的那样，我现在给你们讲这些,仅仅是我想把原理阐释清楚。
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I said last time that part of the art of autobiography is choosing.
上次提过,自传的精髓在于选择。
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If you are happy, and work on your happiness, you are contributing indirectly to other people's happiness, just like the baby who laughed last time-- made you laugh.
你快乐并努力争取快乐，就是间直接对他人的快乐作出贡献，就像上次大笑的婴儿，把你们逗笑。
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I will talk a little bit about what we discussed last time.
我将稍微回顾,我们上次讨论过的东西
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Okay. So here's a waltz by Richard Strauss not to be confused-- no, excuse me, by Johann Strauss not to be confused with Richard Strauss whom we heard last time.
这是理查·施特劳斯的一首圆舞曲,别搞错了,不对,不好意思,是约翰·斯特劳斯,别和理查·斯特劳斯的搞混了,我们上次听过他的作品
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My last converstaion with him wasn't very productive.
我们上次的对话,不是十分有成效。
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And one of the reasons why France ends up with a republic, and not a monarchy,is because these prefects who represent the Republic can go into conservative regions and say, "hey,we didn't really like the way the elections came out last time; your municipal council, uh-uh-uh,a lot of monarchists there.
这也是为什么最终法国成为共和国,而没有成为君主制国家的原因,是因为,代表共和政体的省长可以去守旧地区并说,"嘿,我们并不喜欢上次的选举方式,你们的城市议会,有太多的拥护君主制度者了
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And so the stories couldn't have been simple inventions, and that began a new phase in the story. And, again, to repeat what I said last time, there were certain stunning physical resemblances between what Homer said and what we could see.
所以,神话传说并不只是人们的空想,这样事情就有所不同了,同时,我重复下我上次所说的,《荷马史诗》所描述的世界,在当今确有令人吃惊的实物证据
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There's a wonderful work of literary criticism -- I mentioned it last time --on Milton's indebtedness to Spenser in the book by John Guillory called Poetic Authority.
有一篇很棒的文学评论-,上次我提到了--关于弥尔顿对Spenser的感激,在约翰·久乐锐所著《诗人权威》中。
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The even better news is that Fib instead of 25 calls, it was only 11 calls.
更好的消息是,上次调用了25次，这次只调用了11次。
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So we can think about something I mentioned last time, which is when we're thinking about chemistry and what's really interesting in terms of chemical reactions, it's mostly valence electrons we're talking about, those are the ones that tend to be involved in chemical reactions.
我们可以考虑一下我上次提到过的一件事，那就是如果我们讨论化学,以及什么是化学反应中,真正令人感兴趣的东西，我们讨论的几乎都是价电子，它们才是在化学反应中,真正起作用的部分。
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So the products we mentioned last time were Coke and Pepsi, but you could think of other products that are pretty much identical.
上次举例的产品是可口可乐和百事可乐,但你们可以把它想象成其他,同样的产品
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I think this sums up nicely what I was trying to communicate last time.
它正切合了我,上次的纲领大意。
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Today we're going to take up the discussion where we left it last time.
今天我们接着上次课的内容继续讨论
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In the basic case, oh, took a little while.
实际上，和上次检索-1的时候。
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Because the algorithm I proposed is going to leverage this idea of recursion which recall was just a piece of jargon we tossed out at the last-- at the end of last week's lecture, last time's lecture recursion really in this context refers to the act of a function calling it's self.
因为我提出的这种算法使用了,递归的思想，这是上周课程的最后,所提出的一个术语，上次的课程中，递归是指,函数的自我调用。
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Plus it makes it, as I talked about last time, much easier to think about distributing the vaccine around the world because shots require skilled medical personnel, whereas, an oral vaccine could be self-administered.
而且,这会使得,就像我上次谈到的,这会使得疫苗更容易在世界范围内分发,因为注射需要专业医疗人员,但是,口服疫苗自己就可以服用
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OK. At the end of the lecture last time, I also showed you an example of binary search.
好的，在上次课程的最后，我也给你们看了一个二分查找的例子。
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If I do this, which is kind of a mistake we made last time, if deliberately.
如果我故意这样做，这有点像,上次我们犯的一个错误。
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Oh wait a minute, that's a little different than what we did last time, right?
这同我上次做的有点不同了，是么？,上一次我们检查了输入？
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