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We can graph out what this is where we're graphing the radial probability density as a function of the radius.
我们可以，画出它来,这是径向概率密度,作为半径的一个函数图。
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Or a painting may strike you in a completely different way that you didn't even see in the first time.
或者一幅画以完全不同的方式给你留下另一种印象，而这个你第一次看的时候甚至没有发现。
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And so, I need to cheat a little bit on the drawing and make sure that this minimum occurs right here.
所以，我需要在画时作点弊,以确保最小值出现在这儿。
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And I don't know why, but since time immemorial that is the way computer scientists have drawn trees.
叶子是在最下面的，我不知道为什么,但从记事以来他们就是这么画树的,这也许就是为什么我们。
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So, let's go ahead and think about drawing what that would look like in terms of the radial probability distribution.
让我们来想一想如果把它的,径向概率分布画出来是怎么样的。
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And on this side, we're going to write out an engine, and we're going to say this is a Carnot engine.
在这边，我们画出一个热机，是卡诺热机。
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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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I cannot draw it that well, but imagine bringing the second point closer and closer to the first one.
我不能很好地把它画出来,但是你们可以想象,当第二个点,越来越靠近第一个点时
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So, let's see this eraser actually never works very well so I'm just going to draw below it.
这个清除器不能很好地运行,我将在下面画出它。
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Some children bring all the tools they are on and one of the boys share he wants to bring a ice cream machine.
一些孩子画上了他们喜欢的所有工具,其中一个男孩,告诉大家他想带一台冰激凌机。
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It has a lot to do with who they thought they were, the paintings they bought, the paintings they commissioned, the way they viewed themselves.
也与他们如何认识自己紧密相连,他们买什么样的画 他们委托画什么样的画,他们对自己的看法
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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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The way he did a lot of prints and you know, famous, like celebrities and pop, like basically the pop art,
他的画，是很有名的，就像社会名流和流行音乐，基本上是流行艺术，
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I've just charted the structure very briefly for you so you can get your footing in the book of Exodus.
我把这个结构简单地给你们画出来了,你们便可以在《出埃及记》中找到基本立足点。
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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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You can see that the dash distribution I drew has more out in the tails, so we call it fat-tailed.
你们可以看到,虚线画的这个分布,尾部要长很多,所以我们叫它长尾分布
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So if I had drawn that better it would look as if this was half of this distance, but I didn't draw it well.
如果我画得准确的话,这段应该是整段长度的一半,不过我没画好
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What I want to leave you with is my picture, not a very elaborate picture, of what Biomedical Engineering is to me, and two parts of it.
我想给你们看我画的这张图,图虽然画得不太好,但包含了我对生物医学工程的理解,有两部分
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When he was a teenager and he would draw cartoons for them and he even dabbled in children's books
当他十几岁的时候，他为他们画漫画，也涉猎儿童图书，
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Dudley Herschbach, a Harvard chemistry professor who has a Nobel prize had this painting hung at one of the halls.
德利·赫施巴赫，一位哈佛化学教授,他曾获得诺贝尔奖并将这画,挂在了其中的一个大厅里。
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So any time in a molecular orbital diagram you draw in orbitals, you need to draw the corresponding molecular orbitals.
任何时候你在分子轨道图里画轨道，你都要画出相对应的分子轨道。
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Well, I'm going to get back, let's just draw a bigger square than usual that's roughly four times the size.
嗯，返回的是，我画一个更大的方形,大致上是4倍的大小。
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Some of them we've already talked about. Andrew talked about the class list and gave you some ways of understanding those pictures in Gaston Godin's apartment.
其中一些我们已经讨论过了，安德鲁讲授过课程单,并且给了你们关于加斯顿·戈汀公寓中的画的,的几种理解方式。
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Your young brother or sister, or my little children, can draw pictures of family members that barely look like family members.
你的弟弟妹妹或者我的小宝贝们,可以画一些看起来,仅仅有点像家庭成员的画
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Rembrandt did have one time where he started painting kind of Catholic themes, but basically he's like these other guys.
伦勃朗也曾画一些天主教题材的作品,但基本上他和当时的其他画家一样
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2 7 And I'm not going to draw the rest of the tree for you here, because I drew it last time, and you don't need to see the whole tree.
从这儿我们得到了,我在这里不会剩下的树都画出来，因为我上次画过了。
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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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Let's take a circle and just keep a quarter of the circle.
我们来画一个圆,只画四分之一圆即可
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s plus 1s gives you this oval ellipsoid which is the bonding, and here are the antibonding, and then these are the energy levels that I have been drawing for you.
s和1s上两个电子组成的键合电子成椭圆形,这是成键，这是反键电子，这些是刚刚已经画过的能级,我也给你们画了。
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