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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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So first, I choose a volatility randomly, from some distribution of possible volatilities 2 from to, in this case, 0.2.
来决定的一个值，所以首先我先随机选择一个浮动值，从可能的浮动值中的分布进行选择,在这个例子中就是0。
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This is the radial probability distribution formula for an s orbital, which is, of course, dealing with something that's spherically symmetrical.
这个ｓ轨道的,径向概率分布公式，它对于球对称,的情形成立。
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He found a distribution. And, if you look more closely at the distribution, here is what he found.
他发现了分布，如果你仔细观察电荷分布的话，这就是他发现的。
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We can actually see spatially all the details in the field animated as you turn the current on and off.
我们能看到,所有细节的空间动画分布,就在你打开电流和切断的时候。
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So obvious and so easy to be quench't And not as feeling through all parts diffus'd That she might look at will through every pore?
如此显露，如此易受损伤,为什么不像触觉，分布在全身各部,可以通过每一根毛细管去自由观看？
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That area was controlled by Egypt at the purported time of the Exodus Running north to south, next to that coastal plain, is a region of low mountains.
在出埃及记时期，这个地区被埃及所控制,南北分布，靠近海岸平原，是低矮的山区。
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I get that the best research suggest we don't really have complete redundancy with hemispheres, but suppose that we did.
我知道有实验证明过,我们大脑的多余部分,并不是都分布在左或者右半脑里，但假设多余部分确实分布在半脑里。
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These systems are dispersed throughout your body and their dispersal is important, and so we'll talk about that as well.
这些系统分布于人体各处,而这种分散性很重要,我们也会讲到这一点
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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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And the answer is, unlike many, unlike commercially generated computers, the brain works through parallel processing, massively parallel distributed processing.
问题的答案是这样的,与出于商业目的而制造的计算机不同,大脑采用并行加工的方式处理信息,采用广泛分布的并行加工
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So it turns out that the very first one, voters are not evenly distributed is certainly true, it's undoubtedly true.
首相想到的就是,现实中选民是不均匀分布的,这的确是毋庸置疑的
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So it's generally called distribution code and whereas for the previous problems that you pretty much started from scratch, blank files you opened up nano and there was nothing there unless you put it there.
它一般被称作分布码，然而,对于之前几乎要从头做起的问题,在空白文件中什么都没有,除非你在里面写入些东西。
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Not on the basis of simple filling in ascending order, but a modified rate of filling as according to the Aufbau Principle.
并不是以简单的升值分布为基础，而是一个修改的填充方法,根据构造原理得到的填充法。
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The second way to have something that is net nonpolar is to have spatially symmetric disposition of polar bonds.
第二种构成,需要空间非极性,就是需要极性键的空间对称分布。
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So I mentioned you should be able to identify both how many nodes you have and what a graph might look like of different radial probability distributions.
我说过你们要能够辨认,不同的径向概率分布有多少个节点,以及它的图画出来,大概是什么样的。
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Whereas in molecular orbital theory, what I'm telling you is instead we understand that the electrons are spread all over the molecule, they're not just associated with a single atom or a single bond.
而在分子轨道理论里，我要告诉你们的时,我们任为电子分布在整个分子中,它们不仅仅是和,一个原子或者一个键有关。
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With a different volatility for the stocks because that was also selected randomly, plus some market bias.
或者均匀分布的一个随机值,因为数值选择上的随机性，再加上市场偏好。
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If you follow through from the independent theory, there's one of the basic relations in probability theory-- it's called the binomial distribution.
如果继续往下看,在概率论里有一个基本的概念,叫做二项分布
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This refers to random variables that have fat-tailed distributions-- random variables that occasionally give you really big outcomes.
这就表示,服从长尾分布的随机变量,这些数据出现极端值的概率比较大
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Let me quickly mention there's a fairly typical grade distribution for the overall grades of this, at the end of the semester.
让我快速说说公平的评分分布,对于这整个分数，在学期结束时。
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So one thing that seems odd about the way we set up this model is that the voters are not evenly distributed.
有一点使我们建立此模型的假设很牵强,即是选民们不是均匀分布的
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Sudoku And then Sudoku we did last year where it actually becomes a little more interesting where we start providing students not with a blank slate, but with some distribution code.
我们去年做的,实际上更有意思,我们给学生的不是一块白板，而是一些分布式代码。
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We will always have r equals zero in these radial probability distribution graphs, and we can think about why that is.
在这些径向概率分布图里,总有ｒ等于０处，我们可以考虑为什么会这样。
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We can talk about the wave function squared, the probability density, or we can talk about the radial probability distribution.
我们可以讨论它,波函数的平方，概率密度，或者可以考虑它的径向概率分布。
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So the test on the left, you'll remember, was the one with test one, I believe, was the uniform distribution, and test two is the Gaussian.
所以左边的测试，你得记得就是均匀分布,而第二个测试是高斯分布。
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And when we do that we can see this curve, this probability curve, where we have a maximum probability of finding the electron this far away from the nucleus.
当我们这样做时，我们可以看到这个曲线，这个概率分布曲线，这里有发现,电子的最大概率。
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Similarly, if we were to look at the radial probability distributions, what we would find is that there's an identical nodal structure.
相似地如果我们看看,径向概率分布,我们会发现有一个完全相同的波节结构。
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But can you see that the centers of electron deficiency lie on a sphere equidistant from the center?
但你看得到么,缺电子的地方分布在,与中心等距的一个球面上？
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And then I could also do a Gaussian one here, with the mean of and the standard deviation of volatility divided by 2.
然后我在这里再写一个高斯分布的函数，它的浮动值的平均值和,标准偏差值都除了2。
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