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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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Ok, let's say that you have a really good relationship with your mom and you rarely ever fight.
我们假设你跟你母亲关系特别好，很少有口角。
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Now never mind that our own experience with virgins has failed to afford us such a spectacle of bodily transformation.
没有关系，如果我们关于贞操的知识,之前未能告诉我们如此壮观的身体转换。
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But now what we are going to do is bring them in together sort of along the lines of this.
现在我们要做的,就是把他们按现在我们要做的,照线性关系放到一起来。
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OK, this is only true for an ideal gas, and we went through that mathematically where the, with a chain rule.
这一关系只对理想气体成立，上节课我们,用链式法则推导出了这一关系。
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Well--okay. This has nothing to do with the text, we say, and yet at the same time suppose it did.
其实这和诗本身并没有关系，但是我们假设它和诗是关联的。
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So we know this is going to be a straight line in between, so let's put this line in.
我们已知两者之间是线性关系的,所以我们用直线连接两点
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What is Hobbes' individual? Hobbes conceived us through a process of abstraction from the web of attachments in which we find ourselves.
霍布斯的个体观念是什么呢？霍布斯,通过抽离我们给自己定位的关系大网,的过程告诉了我们。
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Our relationship with water has changed a lot too and a lot of that is due to marketing.
我们和水的关系也改变了很多,这都是拜市场化所赐
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That's a whole part of the world that is building alliances, building ties, building economic exchanges, ignoring us.
这一大块区域,正在建立同盟，建立关系，开展经济往来，我们被忽略了。
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This had been the basis of our relationship but I didn't care and we got along fine.
这是我们关系的基础,但是我不介意，我们相处得很好。
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It also seems to reflect the interests of the south. Remember, we talked about the fact briefly that at a certain point in Israel's history there is a division upon the death of Solomon in the late tenth century.
这似乎也反映了北方人的利益关系，还记得吗,我们简单地谈论过，在以色列历史上的某个时间,人们对所罗门在10世纪晚期的逝世,存在分歧。
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He is at war and he is serving under a commander, and so the behavior of these people towards one another is not precisely like what it would be.
他们乐于战斗并服从命令,这种特殊的主从的关系,和我们所想象的完全不同
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And so this begs the question, even in the context of these cups, how can we possibly do better if at the end of the day in order to figure out if two cups or if two people or if two ints inside of an array are bigger or smaller than one another it feels like we have to do this comparison work anyway.
这样就回避了问题的实质,从这些杯子的相互关系来看，我们怎样才能更有效地,找出序列中比其他元素,都大或都小的两个杯子，两个人，两个数,看起来我们无论如何都得,做比较的工作。
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Now what if we just study that?
如果我们只研究这种恋爱关系呢？
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So, we can use Coulomb's force law to think and it does that, it tells us the force is a function of that distance. But what it does not tell us, which if we're trying to describe an atom we really want to know, is what happens to the distance as time passes?
来考虑这两个粒子之间的,它告诉我们力随距离的函数关系,但它不能告诉我们，而我们如果要描述,原子又非常想知道的是,距离随时间的变化时怎样的？
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I think obviously with the war in Iraq emphasised our, the extent, how close we are.
我想，伊拉克战争，很明显地突出了我们之间的关系有多么密切。
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All right, this is what's called a recurrence relation, there are actually cool ways to solve them. We can kind of eyeball it.
好，这就是所谓的递归关系,也就是解决问题的相当好的办法,我们可以来看看。
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If you toss a coin twice and the first experiment doesn't influence the second, we say they're independent and there's no relation between the two.
如果你抛两次硬币,第一次的结果并不影响第二次的结果,所以我们说他们是相互独立的,这两次试验没有关系
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And others would saying in addition to the traditional ideas of keeping these Jewish dietary laws involved, we should add an understanding based on the needs of the planet and the suffering of the animals that are potentially involved with our food resources.
另一些人可能会建议，除了,保持传统的,犹太饮食教规，我们应当理解,地球的需求和动物的痛苦,而这些都是与我们的食物来源有关系的。
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But yeah, she's great! I love her. I met her here and it's going great.
但是，是的，她很棒！我爱她。我在这里认识她，我们的关系很好。
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Iran, unfortunately, becuase of our relations with Iran, Iran could be a much bigger and better parterner in Afghnastan.
伊朗本可以发挥更大的作用，由于我们与伊朗的恶化的关系。
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We can have a civil science, because politics is a matter of human making, of human doing, of human goings on.
我们能够拥有民间科学，因为政治关系到人类的产生，人类的生存，人类的延续。
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And I wanted to do it a different way which is a little bit convoluted, but it introduces the idea of a thermodynamic cycle, and it's something that we're going to use a lot in the class.
现在我将用另一种,有些复杂的办法来推导这一关系，在这一过程中引入,我们今后会常接触到的,热力学循环的概念。
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And so it's not, perhaps, crippling if this is the conclusion we reach, but at the same time it's not the only possible conclusion.
因此，如果这就是我们的结论，也没有太大关系，但同时要知道这不是惟一可能的结论。
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We could think of it as the contractual relation that a writer makes with his reader.
我们可以把它看作一种契约关系,作者与读者之间订立的契约。
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What's the relationship between fiction and what we all experience as the real world?
小说和我们的现实经历,的关系又是什么？
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It cultivates the capacity to deal whether it's negative and painful experiences in relationships, or in ourselves.
培养我们处理,无论是人际关系上的消极和痛苦经历，还是我们自身的。
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The other thing that we know, which is what we were just discussing when we were going through the table is how this all relates to energy.
另外一个我们知道的事情就是，我们看这张图表的时候,我们讨论了,它和能量之间的关系。
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Now let's see where diet comes into play here and how diet affects these different diseases.
现在我们来看看饮食和它们的关系,饮食又是如何影响这些不同疾病的
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