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And empathy has different definitions but we can simply view it as the feeling that your pain matters to me.
移情有几个不同的定义,但用简单的话来说就是,我不会对你的痛苦无动于衷。
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but what works for me the best is to really step out of this sort of need to create
但是对我来说最有用的方法，就是要走出一种必需创造的意念
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So again, part of the point here is that things grow-- or to rephrase it, interesting things grow at an incredible rate.
好，这儿我要说的就是,事情的规模发展到，或者用另外的话说。
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And so it wasn't all that many years ago frankly that you know, certainly, people in this class were still using these things.
这跟多年前完全不一样，当时我们用的就是现在我手头的这种。
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Mine is to demonstrate over and over how little mathematics you need to get the job done.
我的方法就是,反复演算,用最少的数学来解决问题
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When I say "pigeon," I don't really seem to have any particular sense of an onomatopoetic word, but if I use the Latin, pipio, which means "to chirp," all of a sudden I say, "Oh, that's onomatopoetic."
当我说鸽子的时候,这个词并不能，反应它自身的意思，但是如果我用拉丁语说鸽子，也就是咕咕“,这就是拟声了“
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For example, you can't acquire a land that is common property, so people in terms of the American Indians, I feel like they already have civilizations themselves and they were using land in common.
比如，你不能掠夺公共财产，对于印第安人来说，我觉得他们已经有了自己的文明,他们用的就是公共土地。
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I mean, you know the wings go, and the air runs, and then the motor on the engine and it's a miracle how it gets up there and that is the way I used to explain the Greeks, because I had no better idea.
我的意思是,你知道机翼的作用,空气的流动,还有引擎上的发动机,飞机能飞起来,是个奇迹,我就是用这种方式来解释希腊历史的,因为我也没有更好的方法了
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If I came to the office next week and decided domestic stocks were too high -I want to move that target down to 8% -in the way that I've described market timing, that would be a market timing move and we're very careful not to do that.
如果下周我上班时,认为国内股票价格偏高,我会把权重调低到8%,用我描述过的方式,这就是个市场时机选择的操作,我们一般很谨慎,并不会轻易那么做
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Or, in my favorite unit, 19.80 electron volts.
或者用我最喜欢的单位，就是19。80电子伏特。
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So very similar idea, but the only thing is, I'm slightly abusing notation here by saying that my payoff depends on my strategy and a belief, but what I really mean is my expected payoff.
这和以前的概念差不多,唯一的不同,就是我这里稍微用了一些数学符号,来表述策略带来的收益与所持信念有关,这里的收益指的是预期收益
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I'm just making some kind of living in what I've been doing the last four years.
我就是在用我这四年学到的东西养家糊口。
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That will lead me to use a technique I mentioned again last time, called memoization.
这就使得我要是,用我上次提过的一种技术，也就是默记法。
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What I though I'd do is just tease you with some visuals if you haven't gotten to the point of playing with the staff solution so the themes of problem set 3 are two-fold.
如果你们还没达到使用解决方案的程度,那现在我能做的就是用一些图形为你们梳理一下,习题集3的主题,是两方面的。
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language, my language ] -what I say and what I think in language--speaks true.] That's the position taken up, not at all the same thing as saying what's out there doesn't exist -nothing to do with that.
那就是，语言，我的语言，说的是真话,这里的语言是指我所说的，以及我用语言所思考的],就是那个立场，与说那里什么东西不存在是完全不同的,与那个没有任何关系。
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And what it's saying semantically is, using that variable as my placeholder, have it walk through this collection, starting at the first thing, execute that code, then the next thing, execute that code, and so on.
它的语义意思就是，把这个变量应用为我的占位符，用它来遍历这个集合，从第一个元素开始，执行代码，然后下一个元素，再执行代码。
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Or, said a different way, what's going to happen when I run it?
或者，用不同说法来讲就是，当我运行它的时候会发生什么？
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OK. All right, let me show you one other tool that I want to use. Which is, I've written that piece of code, I ought to check it. Well, I could just run it, but another useful thing to do is, I'm, especially as I want to debug these things, is to simulate that code.
好，那么，让我给大家讲下,我想用的另外一个工具吧,也就是，我已经写好了这一块代码，我应该去检查检查,那么我可以去运行它,但是特别是当我想要调试代码的时候。
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And that's a wonderful thing to have because it gives you that modularity, that encapsulation that basically says, when I create a point, the only way I can get at the values, is by using one of the defined methods, in this case it could be Cartesian, Cartesian and get all the pieces of that.
这是很棒的一件事情,因为它让你有了，模块性以及封装性，这基本上也就是说，当我创建了一个点，我能够得到它的值的唯一的方式，就是用一个定义好的方法，在这个例子中也就是。
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And that's why I use double equals.
这就是我用双等号的原因。
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Well I'm going to suggest that what I did was I really traded space for time. It makes me sound like an astro physicist somehow right?
困难在哪里？我在这里是如何权衡的？,我在这里所做的就是用空间换时间,这让我听起来像一个天体物理学家，是不是？
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I had made a few bucks playing poker and that's how I started with about eight, ten thousand dollars and I made all this money by borrowing at 90%.
我打扑克牌赚了一些钱,那就是我怎么用八九千美元开始,我的事业的,我用来赚钱的资本都是用以高达90%利率借来的。
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So I realize that the constant, c, is the initial location of the object, and it's very common to denote that by x0.
所以我发现常数c,就是物体的初位移,我们习惯用x0表示
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Third one is, it may depend on which version of Python I'm running.
第三点就是，这可能会和我,用的Python的版本有关系。
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And for Problem Set 0, too, those of you might think Scratch kind of imploding since I was 6, well then we'll hand you some of these little logic boards which are a variety of real world sensors you can connect to your Mac or PC and push yourself a little further with interactions, with the real world.
对于习题集0也是如此,有些人可能认为从我6岁开始就不怎么用Scaratch了,那么我给你一些小的逻辑板,它们就是各种各样的真实世界的感应器,你可以用它们来连接到你的手机或电脑上去,和现实世界做进一步的互动。
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If you want the book, that's the book I use.
如果你想要买，这就是我要用的书。
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the different states want corporations to register and therefore the rules are such that they protect the corporation with the poison pills I can't get into all these different things - -stagnant boards, poison pills- and I think if you just change some of that we could be like, for instance, England is much better.
每个州都想让自己的企业注册,所以现在的规则就是,各州都用毒药丸保护企业,我不能干涉所有的这些东西,-没有进步的管理层，毒药丸-,如果你愿意改变其中一些方面的话,我们就会像，例如，英国企业的情况比美国好多了。
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And his answer was, "Well, when my father sent me here, he told me a number of things that I'm supposed to do, but the most important of these was the Greek words, aien aristeioi, always be the Best.
他的回答是,"当我父亲把我送到这里时,他对我说了,我该做到的几件事,而其中最重要的就是,用古希腊语说"aien aristeioi",事事为先
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