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I have a final question for you: do you feel that Princeton university is on the right trajectory in answering the question of just university?
我再问你们最后一个问题，你们认为,普林斯顿大学是否在正确的轨道上发展么？,我指的是在公正的实践这一方面？
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So it's very different from "I will". You're saying, "I am, right now, going to do something in the future."
因此这个句型跟“I will”有很大不同。你实际上表达的意思是，我现在正打算将来做某事。
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OK. I get the two values in, what do I need to do, well, you sort of know that, right?
好，有了这两个输入值了，我接下来将要做的，你知道对不对？
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Let's hear first, now we need to begin to investigate the reasons why you think it's the right thing to do.
我们先来听听大家的说法，探究一下为何,你们会认为这是正确的选择。
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You've got to do it so you're right in the middle, so that the market is in the middle.
所以只能以均衡价格交易,而市场价就是均衡价格
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Right. How do you think being together on a religious life council, being in the same dorm in Princeton, how well you speak Arabic.
好，你们认为,同时在一个宗教生活委员会，在普林斯顿住在同一个宿舍，你们都会说阿拉伯语。
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All right, so when you do a problem, the path is going to turn out be extremely important.
好，当你解题时，路径会变得,极其重要。
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A point right on the screen mush like you might do when playing a video game.
屏幕上的一个点就像大家,在玩电子游戏时候见到的那样。
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But sometimes I might not write the units but I've earned the right to do that and you guys haven't so you'll have to keep track of your units.
有时候我可能会省略单位,我可以这么做,但你们不行,你们要认真地把单位写清楚
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So here's our potential equilibrium with just Beatrice standing, and if somebody to the, which way do we do it, somebody to the right of Beatrice was to stand, so ma'am if you stand a second, and your name is?
只有比阿特丽斯参选是潜在的均衡,如果有人,我们从哪个方向演示好呢,比阿特丽斯右边的某个人参选,这位女士请站起来一下,你的名字是
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So if you end up not doing well, the moral of the story is not to go running off and dropping the class, but to figure out what you did right, what you didn't do right, how to make the second paper better and the third paper stronger, again.
所以如果你们最终没有得到好成绩，这个课程不是让你们退却或是退课，但是去想想你所做的对的事，和不对的事，和怎么样让接下来的论文写得更好。
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You're going to get these personality tests all the time and the personality tests-- You're applying for a business and " one of the tests says "I like to steal from my bosses " Well, I don't think so No That's a little IQ test right there ? So, the question is how do you avoid that problem?
你们以后会做很多这样的性格测试,例如：你求职时做性格测试,其中一题是“我想偷老板的东西“,不，我不会,这相当于一个智商测试,问题在于，你怎么避免那个问题？
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> So dive right into the middle so if you would now simulate would a typical human might do, where would you dive in first to find Mike Smith?
直接翻到中间,你现在模拟的是每一个正常人都会做的事，要找Mike，Smith你第一次会先翻到哪儿？
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All right. I was going to do one more example, but I've run you up to the end of the time.
好，本来想再讲个例子的，但是我想该下课了。
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You think Bentham is wrong to say the right thing to do is to add up the collective happiness?
你认为边沁是错的吗,他说正确之举就是，增加集体大众的幸福？
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All right. What do you do when you've found the bug and you need to fix it?
好了，当你发现错误并修改它们的时候,你该怎么做？记住一个古老的法则？
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We'll expect you come right back to do the quiz by the way, but the-- Boy, tough crowd.
顺便说一句，我们希望你能,尽快赶回来做测验，不过--呃，来宾应该不能答应。
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Imagine instead, you're writing code that's a hundred thousand lines, a million lines, of code. You don't want to write it in this form. All right, and the reason you don't want to do that is, well, several.
换一个角度来思考,你正在写的代码有几十万行，近百万行,你绝对不想写成这种格式,好吧，你不想这么做的原因有以下几个。
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As I keep moving down, that part gets smaller, it's not always the initial length of the list, and you're right. But if you do the sums, or if you want to think of it this way, if you think about this more generally, it's always on average at least the length of the list.
等等，随着移动，剩下的部分越来越小，并不是初始那么长了，如果你算一算，或者你这么想，你考虑更一般的情况，平均下来至少是列表的长度。
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Another way to represent a point in a plane is I've got a radius and I've got an angle from the x-axis, right, and that's a standard thing you might do.
平面上面的点的方法,也就是极坐标,上面那种方法其实是，如果你们喜欢我这么说的话,笛卡尔坐标表示法。
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It finds one syntax error at a time, so you have to be a little patient to do it, but you can check that the syntax is right.
它一次会找到一个语法错误，所以你们必须要有点耐心，但是你们可以检查出语法是否正确。
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You know, you can do the simple numbers, right?
你知道那种简单数字的运算的，对不对？
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Now there many ways I can connect these two points together. The simplest way is to draw a straight line. It's called the linear interpolation. My line is not so straight, right here. You could do a different kind of line.
最简单的办法是,像这样画一条直线,这叫线性插值,不过我的这条线画得不太直，你也可以用别的办法,比如一条抛物线。
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Just to give you an example of that, for instance, I can do the following: all right, the number four is less than 4 the string three, whereas the string four, oops, is not less than the string three.
仅仅是给大家看一个例子，例如，我可以这么做：,好，数字4比,字符串3要小，而字符串，比字符串3要大。
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So the thing that I hope jumps out at you from this picture is no great guesses about figuring out this is a ?, so if the probability that the goalie's going to jump to the right is less than a ?, then the best you can do is represented by this green line, which is shoot to the right.
我希望大家都能从图中看出来,得出这一点的横坐标是?不难,如果门将扑向右路的概率,小于?的时候,此时你的最佳策略用这段绿线表示,即你应该从右路射门
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Conversely, if you think the goalie's going to shoot to the right with probability more than a ?, then the best you can do is represented by the pink line, and that's shooting to the left, or if you think the goalie's going to dive to the right with the probability more than a ?, the best you can do, your best response is to shoot to the left.
相反如果你认为门将扑向右侧的概率,大于?的情况下,此时你最佳策略用粉线表示,即从左路射门,也就是说如果你觉得门将扑向右路的,概率大于?的话,你最好选择从左路射门
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Right, so how do you use the idea of functions to organize code?
好，你们是怎么利用方法,来组织代码的呢？
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It's saying, if you give me two numbers, I'll do the right thing.
也就是说，如果你给我两个数字，那么操作是正确的。
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