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。
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。
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。
It turns out that the probabilities of scoring here are as follows, 63.6, 94.4, 89.3, and 43.7.
研究的结果,概率分布如下,63.6 94.4 89.3 和 43.7
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
That's different when you have continuous values-- you don't have P because it's always zero.
和离散型随机变量的分布不同的是,连续型随机变量的分布中,某一点的概率值始终是零
It could be normal, everything, that would be a Gaussian, where if you recall there was a mean, and a standard deviation, and most values were going to be close to the mean.
可能是正态分布,也就是高斯分布,只要有平均值和标准偏差值,你就可以进行调用,大部分的值都是集中在平均值附近的。
Now what I want to do is take you exactly to this place where we are right now, where we see energy levels and electron filling, but I want to start all over again and I want to use a totally different approach.
现在我想做的是带你们,到达我们现在所处的地方,我们能看到能量级和电子分布的地方,但我想重新开始,而且用一个完全不同的方法。
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。
A random-- a uniform, and a Gaussian.
一种随机的一种均匀分布和一种高斯分布。
If you look at the behavior of groups of active managers and the dispersion of returns, I think it gives you some idea of what the efficiency is with which assets in these individual assets classes are priced.
如果观察一下主动管理型的基金经理们,和他们的投资收益分布,我想它会告诉你一些信息,哪些资产是有效定价
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。
So, let's actually compare the radial probability distribution of p orbitals to what we've already looked at, which are s orbitals, and we'll find that we can get some information out of comparing these graphs.
让我们来比较一下p轨道,和我们看过的,s轨道的径向概率分布,我们发现我们可以通过,比较这些图得到一些信息。
So here, what I'd like you to do is identify the correct radial probability distribution plot for a 5 s orbital, and also make sure that it matches up with the right number of radial nodes that you would expect.
这里,你们要辨认,哪个是5s轨道的正确概率分布,并且确保它和你们,预期的节点数相符合。
And think about, what's the difference between the Gaussian and the normal?
高斯分布和均匀分布的,差别是什么?
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