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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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And there's different types of culture, different types of ethnicities, all in different areas of town.
那里有不同的文化和种族，分布在城镇的不同地区。
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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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But still, when we're talking about the radial probability distribution, what we actually want to think about is what's the probability of finding the electron in that shell?
但当我们讲到径向概率分布时,我们想做的是考虑，在某一个壳层里,找到电子的概率,就把它想成是蛋壳？
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You can imagine different products therefore, that are on the market, positioning themselves, or being positioned at different points on the line.
因此你可以想象不同的产品,不同的产品分布在,分布在市场上
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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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You can see them on your map, and they really run in strips from north to south.
你们可以在地图上看出来，它们以条状从南至北分布。
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In order to explain it-- I had to write down the binomial distribution to explain it properly.
要解释这一点,我要先在黑板上写一个二项分布,以便于解释清楚这个问题
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So we're going to assign to each stock, when we create it, a distribution.
所以我们在创建每只股票时，要给它们指定一中概率分布。
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So, the question then is what is the spatial distribution of charge inside the atom?
因此，接下来的问题是,原子内部的电荷,在空间如何分布？
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Where fat is distributed is relevant, but both men and women can have fat above the waist in what's called this abdominal obesity pattern.
脂肪的不同分布模式是有关系的,但男性和女性都会在腰以上囤积脂肪,这叫做腹部肥胖模式
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It shows you there were chateaus in the Netherlands, but they were mostly in the east.
这张图片告诉你荷兰也有城堡,不过大多分布都在东部
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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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But what's interesting is when they're actually there, essentially, if this is a magnetic particle, 1 you can actually represent zeros and ones pretty easily.
有意思的是当它们分布在那里，如果这是一个磁性粒子，你能很容易的用它代表0或者。
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And you can see they are nicely active and separated in the space of the brain.
各位能够看到，它们比较活跃,分布在大脑的不同区域。
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You found them in very odd places.
他们分布在全国各地
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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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We'll start with talking about the shape, just like we did with the s orbitals, and then move on to those radial probability distributions and compare the radial probability at different radius for p orbital versus an s orbital.
想我们对待ｓ轨道那样，我们先讨论ｐ轨道的形状，然后是径向概率密度分布,并且把ｓ轨道和ｐ轨道在,不同半径处的径向概率做一个比较。
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To actually apply this it helps to go to something called the normal approximation to the binomial, because it's kind of difficult to compute this formula.
在实际应用这些公式的时候,需要运用二项分布的正态近似定理,因为二项分布公式的值很难计算
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You have a chance of being way out here with a fat-tailed distribution.
很有可能在,长尾分布的这里
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And here's where I'm going to create distributions.
我会在这儿创建一个分布。
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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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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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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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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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As before, as in the Downs or Hoteling model, we discussed already a few weeks ago, we're going to assume that voters are evenly spread along the line.
像之前一样,就像当斯或霍特林模型,我们几周前讨论的,我们将假设选民,平均分布在这条线上
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This can't make sense because the plum pudding model says you've got uniformly distributed charge.
这是讲不通的,因为布丁模型说的是电荷在里面均匀分布。
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Because the uniform, as we've set it up here, is bounded.
因为我们在设定的时候均匀分布，是有界的。
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