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It's fitting that the first poem of Milton's that we study in this class is "On the Morning of Christ's Nativity."
这节课我们首先学弥尔顿的,《圣诞清晨歌》是很合适的“
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and learn the things we want to learn, and kind of, you know, we're being enabled.
我们想学什么就能学什么，这样，我们被赋予了很大地能力。
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The notion of recipes, the notion of computation, why you want to do this, what you're going to learn.
秘诀和计算的一些概念啊，以及我们为什么要学这些知识，和要学习的具体内容。
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And I think we just got to the point where we were able to start looking at the energetics of that.
我认为我们刚刚到这一点,我们才能够开始学习,这里面的能量学。
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We said players should never play a strategy that's never a best response to anything, so we threw those away.
我们学到了参与人不应该选择,非最佳对策的策略,应该剔除它们
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So for example, we often talk about teaching and I'd rather focus more on learning.
举例来说，我们经常讨论教的过程,而我觉得更应注重学的过程。
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But let's take something simple like the Pythagorean Theorem, which we all learned in high school.
不过我们还是说些简单的,比如勾股定理,我们中学里都学过的
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for exam 2, you still need to know and understand everything you learned in exam 1, but you can put off learning it completely until we get through, at least, next Wednesday before we start maybe spending time on these concepts outside of class.
为了掌握第二次考试的内容，你仍然需要知道和理解,在第一次考试前所学的全部知识，但是你可以先放一放，等到我们进行到，至少在下周三我们可能开始不在课堂上,讲这些内容之前。
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Let me begin by just reminding us where we are in this course, reminding us of what we've done and what we have yet to do.
我们先来回顾这门课程,学到哪里了，回忆一下我们学过的，以及将要学的。
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The epidemiology studies are what a lot of our information comes from.
我们所知的大多数信息都是来自,传染病学研究
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See? That's what we learned in the old days.
明白吗,我们以前学的就是这样
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We'll give you material, you can go further.
我们会给你们材料，你们可以学得更深。
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And we finished that, we went through that whole book within just a couple of weeks,
我们完成了课程，在短短几周内学完了整本书，
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There are many kinds of work. There's electrical work, take the motor, you plug it into the wall, electricity makes the fan go around, that's electrical work. There's magnetic work.
我们复习一下大一,学过的功的概念：,物体在力的作用下，运动了一段距离。
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We'll come full circle later in the semester and actually begin to create things just as animated again.
我们这学期要把这些都学一遍,然后开始创作类似动画的东西。
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I think it's the most important theoretical concept that underlies finance and insurance, which we'll also talk about a little bit in this course.
我认为,这是构成金融学和保险学,最重要的理论核心概念,而这些我们在以后的课程中,还会再提到
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But nonetheless, we have been able to absorb all of that.
但无论如何,我们还是能够学得会
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Why should be bother learning another language?
我们干嘛还劳神学别的语言？
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And you probably recognize some of them in there, cors right, absolute value, add, comp, cors, cors well we didn't do cors, we did a bunch of other things.
对，绝对值，假发，比较，当然我们还没学，我们学过其他的一些东西了。
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And we saw last day that we have a Coulombic force of attraction which you have seen before.
我们昨天学习到,我们有库仑引力,之前你们学过的。
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We know, from the very first lesson of the class last time, that no one should choose these strategies.
从上堂课中,我们学到了,不要采用这类策略
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We've looked so far really at two non-scalar types. And those were tuples written with parentheses, and strings.
关于这两种基本类型我们已经,学的相当多了,包括哪些元组和字符串类型。
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We haven't actually learned how to calculate the formal charge yet, we'll learn it soon.
实际上我们还没学如何计算形式电荷，我们很快就会学到了。
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We have energies. We have radii.
我们还学了能量，学了半径。
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So, to summarize so far, and we're going to look at this a little bit more for the rest of this lecture, we've talked about two morals in social psychology.
总结一下目前所讲过的内容，我们会在这节课中,更详细地讨论这点，我们讲了社会心里学中的两个行为准则。
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All right, so what have we got?
好的，我们今天学了什么？
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One is our Carnot engine as we've seen it, and the other is just any other reversible engine.
一个是我们已经学过的卡诺热机，另一个是任何一个其它可逆热机。
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All right, so last time we were talking about the Investor Game and this was a coordination game, and we learned some things.
上一讲我们讲到了投资者博弈,这属于协调博弈,从中我们学到了不少东西
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Okay, so given what we've learned so far in the class, a natural first question to ask is: are any of the strategies here?
好,先看看我们都学了哪些知识点,首先想到的是,这里的策略是什么
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