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Let's begin with a kind of warm-up sheet which we can anchor in these little drawings I've made.
让我们先来热一下身,看一下我在黑板上画的图。
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different buildings that are famous in New York like the Empire State, bridges, you know, the Brooklyn Bridge.
画在各种纽约著名建筑的木块上，像帝国大厦、布鲁克林大桥。
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So, I taught myself how to program because I wanted to learn how to draw a map on the screen.
所以，我自学怎样编程，因为我想,学习怎么在屏幕上画一张地图出来。
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I wrote it down your notes, if you can put a big star next to it so you don't forget this.
我写在了你们的讲义里，如果你们在旁边画上一个,大星号就不会忘记了。
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One, two, three, four, so on each level of the picture I'm drawing, I've seem only to be looking at each number once.
，2，3，4，可见，在我画的,这幅图的每一层上，对每个数字,都只会用到一次。
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So I've put this very handy little chart on the board for you listing codes on one side. And you'll see the kinds of things that are punished you pay a certain amount of money to compensate for the death.
我在黑板上画了这个图，一边列出了,这些法典，你可以看到一些被处以,你可以付一定数额的钱作为对死者的赔偿。
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You should probably do the same in your notes.
你们也跟我在笔记本上一起画吧
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So you know your cycle, you know, you could have a whole complicated sequence on a p v diagram of steps going back.
因此，对某一的循环过程，可以在pV图上画出,一系列很复杂的小步骤。
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Or even just funny things, like if somebody put like "Hammertime" on a stop sign.
或者，有趣的是，好像有人把“哈姆时间”（美国真人秀）画在停车标志牌上。
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And people can come along and just create a like giant drawing on the floor,
人们可以走过来，在地板上画一幅巨大的画，
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Inside the suitcase is a plain piece of white paper and the children were asked to draw the things they think they would need on the trip. Sometimes they get they wouldn't need.
行李箱里面是一张普通的白纸,我要求孩子们,在纸上画出他们认为必要的,旅行用品，有时候他们画出来的并不需要。
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And in typical philosophical fashion, I've drawn that story for you up here on the board.
从典型的哲学观点来看,我已经把整个过程画在了黑板上
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open your textbook and put a circle around question number one.
打开你的课本，在第一个问题上画一个圈。
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His paintings, they're stencils basically, on pieces of wood of
他的画基本上是漏字板的，画在木块上的，
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You could do one of these little boxes they do in sociology or political science, and have these arrows running all over the place.
你可以把这些画成图示,像在社会学和政治学课上那样,把箭头画得到处都是
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In other words, if you look too closely at a picture or if you stand too far away from it you don't see it clearly it's out of focus but if you achieve just the right distance from it, it comes into focus.
换句话说，如果你站得离一幅图画太近,或太远都无法看清它,它在焦距之外,但是如果你站在合适的位置上，焦距就对准了，画就清晰了。
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But what really happens is as you go on in chemistry, you draw so many of these you can just draw them without following the rules.
但是随着你在化学上的深入，你会画很多路易斯结构,以至于你可以不用管这些规则就能直接画出来。
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And then, I put some dots on the map.
接着，我在上面画上了很多小点。
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- Is it a character of eight bytes -- sorry -- eight bits, eight bits, eight bits, and I've done the same picture on the board.
它是一个8字节的字符--对不起-,8位，8位，8位，我在黑板上画了个一样的图。
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This is a-- somewhat graphical library that allows me to display graphics on the screen.
这是一个--绘画用的库,可以让我们在屏幕上画图案。
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So, what this lets us do now is directly compare, for example, the strength of a bond in terms of a hydrogen atom and hydrogen molecule, compared to any kind of molecule that we want to graph on top of it.
因此，这让我们现在可以做到直接进行比较，比如，将一个氢原子，和一个氢分子的键的强度，与任何其它类型的分子进行比较,我们只需要把它的曲线也画在这幅图上。
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That is, until the great archaeological discoveries of the nineteenth and twentieth centuries, which unearthed for us the great civilizations of the Ancient Near East, of which I have drawn a remarkably life-like map ] here on the board: Mediterranean, I always start with the Mediterranean Ocean, the Nile River, the Tigris and the Euphrates.
直到十九至二十世纪,一些重大的考古发现，才让我们了解到,远古近东的文明,我已经在黑板上画了一幅,栩栩如生的地图了：,地中海，我总是从地中海讲起，尼罗河，底格里斯河，还有幼发拉底河。
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Well one reason I want to go back is you'll notice I've been putting up these lines on the board and when we visited elections on the second day, we said that you could think of that line on the board, as being not just left wing, right wing politics but also some dimension of products.
原因之一是我想你们将注意到,我在黑板上画了一条线,当我学习第二天学习的选举时,我们讲过你们可以想象黑板上有条线,不仅是左派和右派的政治家,还可以是某种产品特性
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Before I move on, I'm just going to put on the board another cycle, and I'm going to urge you to work through that on your own.
在我继续之前，我要在黑板上,画另一个循环，我希望你们,能自己去推导它，它已经被详尽地推导过了。
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I'll put double crosses for "in the second round" 2 and 9.
我在第二次推理上画两个叉,立场2和9
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Try and draw it better in your notes.
你们在笔记本上好好画一下吧
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And if I did this, and again, don't scribble too much in your notes but if we just make it clear what's going on here, I'm actually going to delete these strategies since they're never going to be played I end up with a little box again.
如果我再进行一次,别在笔记上乱画,我们只是想知道最后会怎样,因为这些策略不会被人采用,所以我剔除掉它们,最后我得到了一个更小的方格
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Problem is here, that Player II has a continuum of strategies and trying to draw all possible probabilities over an infinite number of objects on the board is more than my drawing can do. Too hard.
现在问题是,参与人II的策略是连续的,想要把无限可能性的概率,做成图都画在黑板上,是不可能的了
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So I don't know how to draw personalities very well on the board, so I'll draw little stick figures of bodies,but I mean these to be the personalities.
我不知道怎样在黑板上画出人格，我就画几个棍子小人来代替吧。
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As I think about it, I'm viewing the beach from a point of view which may well be on the beach, if somebody draws a painting of a beach.
我想来想去，自己就像是在海滩上,看着海滩一样，如果有人画一张海滩的图片。
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