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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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You will find this pattern very useful anytime you're not feeling happy about something and you want to express yourself.
你会发现，当你因为什么事感到低落，你想表达自己的感觉时，这个句型特别有用。
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And so what this gave us was a very, very useful general criterion for determining whether something happened spontaneously.
这个告诉我们的是一个,非常非常一般的判据,他能帮助我们判断一个过程是否自发进行。
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Now you have a gap in your data and yet you still have some magnetic particles there that could be useful.
现在的数据中可能会有一些空白,但你仍然有一些,有用的磁性粒子。
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And in fact, it lies at the heart of a lot of useful computational techniques where we save results.
实际上，它也是很多保存结果的,计算技巧的核心。
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It would be so easy if you built a cohesive system that carries the entire transaction to create a receipt that is useful.
如果你建立一个,能覆盖整个交易过程,能产生有效的收据的系统,一切都会变得更容易。
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So, in this class we'll be talking about energy a lot, and it's often useful to draw some sort of energy diagram to visualize the differences in energy that we're discussing.
所以，这堂课我们会讨论很多,关于能量的问题，讨论时，画能级图来使能量差别,形象化常常是很有用的。
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There are all kinds of things that it might be very useful ; for you to know as an inhabitant of Western civilization; and the New Testament,you might find out, would rank kind of down on the list of those kinds of things.
作为西方文明的一分子,有很多有用的东西可以学;,而新约，你会发现，与这些东西相比，排名比较靠后。
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But there's some things that that person can do and they're definitely useful in an organization and can do a lot of stuff.
这样的人才,知道该怎么做事,这公司来说十分重要，他们很能干。
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On the other hand, you don't have to withhold information that may be useful to the class.
另一方面,你又不能刻意保留对这门课有用的信息
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And it's actually critically important to get used to things because it's a useful adaptive mechanism to keep track on new events and objects.
而习惯化实际上也是至关重要的,因为这是一种非常有用的适应机制,可以让你注意到新鲜事物。
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Actually, those guys would be useful, not so much, hardly at all during the scrum of the phalanx, but should one side be retreating.
尽管远程兵种的作用有限,尤其是双方混战时几乎形同虚设,但当一方撤退时,他们的作用就显现了
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And it's a useful pattern when you want to express that your feelings have been hurt or that you're not liking something,
当你想表达你在情感上受到了伤害或者不喜欢某件事的时候，这是个很有用的句型。
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But the kind of exercise we did last time is a useful exercise for those of you who are Econ majors.
但是我们上节课做的练习,对经济学专业的同学是非常有用的
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One of the things I think was really useful for me developing just how I think about Israel.
我认为有件事对我非常有用,它使我形成了对以色列的看法。
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So I think you will find it useful to use this phrase for expressing yourself in many conversations.
你会发现，在许多对话中，这个句型能恰当地帮你表达自己的意思。
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