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These two relations involving entropy are also useful because they'll let us see how entropy depends on volume and pressure.
这两个涉及熵的关系也非常有用,因为他们告诉我们,熵和体积，压强的关系。
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So I roomed with them and instantly I had two friends to who I could hang out with
所以我跟他们住在一起，立刻就有了两个可以一起出门的朋友，
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If you divide the two of them through you will get 6.02 times 10 to the plus 23 per mole.
如果你除以他们两个,你会得到6。02*10^摩尔。
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Well,I suppose another possibility is to say, at least another possibility worth mentioning, is to say they're both Napoleon.
我想另一个可能性会是，至少这种可能性值得一提，那就是他们两个都是拿破仑。
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I love reading these particular stories, and just hearing the dialogue between them, and imagining it, because the two of them alternate in losing patience with the Israelites, and wishing to throw them over.
我喜欢读这些特别的故事，读他们之间的对话，想象那个场景，因为他们两个轮流对犹太人,失去耐心，想放弃他们。
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The fact that they're put on the same plane here suggests that both perhaps are either truths or both perhaps are myths.
他们被放在同一个地方的事实说明,这两个中或许有一个是真理，或者两个都是神话。
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> Okay. Well, I see the two pointers, but they don't seem to be pointing to anything.
>，好的，呃，我看到那两个指针，但是他们好像,没有指向任何东西。
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All right.Once we have them, we want to start making combinations out of them.
好，一旦有了这两个东西，我们就可以开始做他们的组合了。
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They are going to accompany particles surely as every quadratic equation has two solutions.
他们是成对的粒子,正如每个二次方程都有两个根一样
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So now we have two candidates standing who are identical, politically, they're identical.
现在我们有了两个一致的候选人,在政治上,他们是一致的
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In both cases, this becomes part of their self-identity. That's an essential part as my good friend, Linda Colley, who used to teach here and sadly is not here anymore.
在这两个国家中,这点是他们身份认同感中很重要的一部分,如同我的好朋友,琳达·科里,她以前是这里的老师,很遗憾现在不在耶鲁了
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Maybe they are exaggerations and I think to some degree they are but it's revealing that both of these very serious readers of Machiavelli took him to be an apostle of freedom.
也许他们过于夸张了，而且我认为,某种程度上他们确实是，但具有启迪意义的是,这两个严肃的马基雅维利的读者,都把他看作自由的传道者。
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They are very aggressive to be type-A people who just simply made two extra hours out of their 24-hour day.
他们渴望成为上等人,甚至希望每天,能多过两个小时。
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That says that if you have independent probabilities, then the probability of two events is equal to the product of their probabilities.
意思是,几个相互独立的事件,其中两个事件同时发生的概率,等于他们分别发生的概率的乘积
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Now next time, in my lecture on introducing you to Judaism, I'll talk about the importance of at least two of these empires, because they're very important for the history of Palestine and Israel at this time.
下次课讲犹太教时，我会讲到至少其中两个帝国的重要性，因为他们对当时,巴勒斯坦及以色列影响非常大。
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You see the African-American individuals have a somewhat lower risk, although not a lot, from the white people individuals in this study, but the Mexican-Americans have elevated risk compared to the other two races.
非裔美国人患病风险相对较低,尽管在这项研究中,他们与白人之间的差异并不显著,但与这两个种族相比,墨西哥裔美国人患病风险则比较高
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who are like little brothers to me now and yeah, it's a great program,
他们对我来讲就像是两个小弟弟。我们的项目意义非凡，
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but they have good qualities, too. So we have to take from both sides.
但他们的质量也很好。所以我们得考虑两个方面。
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They will smear to give you something like this where here are the two nuclei.
他们会形成这样的结构,这是两个核。
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But neither of them are Napoleon.
但他们两个都不是拿破仑。
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And then the rest of the epic contains the adventures of these two close friends, all of the things that they do together.
余下的故事，围绕着这两个亲近的朋友的,冒险旅程展开，他们形影不离。
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And last year to did we hand students Google maps, Google news, asked them to mash those two very familiar real world products together so that they had a map of the United States, little markers sprinkled throughout, that indicated exactly where there were current events going on.
去年我们给学生提供了谷歌地图和谷歌新闻，要求他们把这两个熟悉的实时世界,产品结合到一起，这样他们就有了一个美国地图,上面到处都是一些小图标，它们能够精确地标记出,当前事件发生的地方。
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So, last time I gave a reading of the creation accounts that are in Genesis 1 to 3. These are two very different stories but their placement side by side suggests the possibility of a joint reading. Nevertheless they are very different in character and today I want to focus in on the second creation story.
上次我们读了《创世纪》一到三章中,关于记述创造的，两个不同的故事,尽管他们是不同的两个故事,却经常放在一起阅读,今天，我会着重介绍第二个故事。
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So the players are going to be the two agents and they own this firm let's call it.
这两个参与人都是公司的股东,他们都持有公司的股份
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They may be knocking down one or two themselves there, because nobody's paying any attention.
他们中的一两个可能会相互打闹或者摔伤,因为没人照看
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I then create a third variable called "z," add those two digits together, store the sum.
然后我声明了一个叫做“z“的变量“,把这两个数字加起来，把他们的总数存起来。
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For example, when they started trading stock index futures, both these agencies thought it was in their turf because it involved both stock indexes and futures Anyway, Paulson is proposing merging these.
例如，当人们开始交易股票指数期货的时候，这两个机构都认为这个交易是在他们的管辖范围内的,因为这个交易既包括了股票指数也包括了期货,总之，鲍尔森是准备合并他俩。
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So let me rephrase, are these people, are these pair of partners in the firm, or two students working on their homework assignments, are they working more or less than an efficient level?
让我换个表达方式吧,这些企业合伙人,或者两个共同协作做作业的同学,他们是否实现了最优效率了呢
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I think it's whether or not the prisoner's cooperate in the sentence they have, and if they kind of rat out the other person, then they can have less; but if both rat out, then they like end up losing large scale.
我记得是,两个囚犯面对审判的时候有如下选择,如果他们中有人供出了对方,他它会减刑,要是他们都供出了对方就要受重刑
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