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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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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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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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And then, what they did is they made a map of where the particles scattered once they struck the screen.
他们做的是,绘制粒子每次散射位置的图,每当他们撞击屏幕的时候。
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That is to say with just those set of constructs, anything you can describe algorithmically you can compute with that set of constructs.
图灵完全化语言的特点，的例子之一,也就是说用这些结构。
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You see that in the top picture. And within those precincts, within that enclosure, there's a large, open courtyard.
你们可以在顶上的图中看到，在界域里面，它的内部，有一片巨大空旷的庭院。
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It's called Death and Transfiguration, and I hear this as a companion piece, a kind of pendant to the Zarathustra.
这首曲子名叫死亡与净化,我听说它是查拉图斯特拉的姊妹篇,某种对查拉图斯特拉的补充
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If I had taken as my interpolation scheme, my white curve here, I could go to infinity and have the equivalent of absolute zero being at infinity, minus infinity.
要注意，如果我们采用，像图中白线这样的插值方案的话,我就可以一直降温下去,相应的绝对零度点。
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This diagram is, I think, the most famous diagram in all of financial theory and it's actually the first theoretical diagram.
我认为这张图表，是金融学理论中最有名的一幅图了,也是第一幅理论图形。
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They were the same size in the 1850s, but Brive gets the railroad and not Tulle, the railroad from Paris.
它们在十九世纪五十年代还是一样大的,但是布瑞福修了铁路,而不是图勒,通往巴黎的铁路
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Then when you see graphs like this and you see these stars, then that links down here to the significance level.
如果看到这样的图,上面有一些星形,图下方还有显著性水平的说明
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What's shown in this diagram is the progress of the developing embryo as it travels in time, down the fallopian tube.
这张图上显示的,就是胚胎发育的过程,是按照它在输卵管中移动的时间排序的
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Where on the picture, let me do a bit more cold calling here, where on the picture maximizes total industry profits?
我随便找个同学来回答一下,在图上哪一点实现了行业最大利润
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And through his research and other research, it was found that there are maps in the brain of the body.
通过他的研究和其它的研究,人们发现在大脑中存在对身体的定位图
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I draw a graph here of the amount by which I pull the spring versus the force it exerts.
我在这里画个图,纵轴是弹簧的拉伸量,横轴是力的大小
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Anything that tells him to sense something like the user's mouse or the edge of his screen is actually purple in color; and so they're nicely colorized and all this but the one that's adventurous right now is this.
能够让计算机感知鼠标或屏幕边缘的图块,都是紫色的;,这些图块五颜六色,但这里有一个不太靠谱的按键。
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We've been discussing energy diagrams a lot in this class, it's a very good way to visualize exactly what's going on.
在这个课里面，我们已经讨论过很多次能量图了，它通常是一个很好的把所发生的事情形象化的方法。
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It turns out we won't really using it, needing to identify it on the graph so much in chemistry.
结果是我们不会实际运用它，那样我们在化学中,将要在图中识别它很久。
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So, in this case, we're just drawing the molecular orbital diagram for the valence electrons, so we have three for each.
所以在这个例子里面，我们只需要画出,价电子的分子轨道图，所以每个有3个电子。
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Now, it's evident from the schematic representation or the way I've described the sanctuary that holiness increases as you move deeper into the sanctuary.
从图上所再现的或者,从我对圣所的描述，很明显随着我们进一步走近圣所,它的神圣性就会进一步增加。
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.. That person-- I should have maybe included that in the diagram-- that person could get 5% return with no risk.
那种人-,我也许该把种情况也包含到图里的-,他能够获得5%的无风险收益。
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This could be 1979, this could be 1980, and we keep adding points so we have a whole scatter of points.
假设这里是1979年,这里是1980年,一直添加数据点,就形成了一个散点图
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I showed you this in this picture here and those levels of control can be at the level of transcription.
我把这些都给你们显示在这张图上,调控可以在转录的水平下进行
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I would ask you to see how such energy level diagrams rationalize what we know to be true.
我想问你，看看这种能级图,如何证实我们知道的是正确的。
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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 that's where it's easy to get lost, but let's see if these lines in the picture help us stay on track.
这就是容易迷惑的地方，下面看看,这幅图中的这些线能否帮助我们追踪。
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Usually, these get charted out into the so-called overtones, thirty-two partials or overtones, and you can see them playing out here .
通常,这些音就是图表上所谓的泛音,三十二个分音,或者叫泛音,在这张图中能清楚地看到
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You'll see a graph with yellow lines, yellow bars that are people without the metabolic syndrome and red bars are people with.
图上黄色柱子表示没有患代谢综合征的人,红色柱子表示患有代谢综合征的人
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Back to this graphic again: unpredictable food supply occurred on the left but doesn't occur on the right.
再回到这张图,对左边的人而言,食物供给难以预计,而右边却并非如此
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There's a variety of different ways to think about using gene therapy and they're illustrated in this picture.
有很多种,基因治疗的思路,这张图上有图示
应用推荐