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。

麻省理工公开课 - 化学原理课程节选

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。

麻省理工公开课 - 固态化学导论课程节选

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。

麻省理工公开课 - 化学原理课程节选

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

耶鲁公开课 - 心理学导论课程节选

A lot more of you chose numbers between 20 and 30, so we're really getting into the meat of the distribution.

有很多人选了20至30之间的数,所以我们已经涉及到分布的问题了

耶鲁公开课 - 博弈论课程节选

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

耶鲁公开课 - 金融市场课程节选

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。

麻省理工公开课 - 计算机科学及编程导论课程节选

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。

耶鲁公开课 - 死亡课程节选

I would say two-thirds of the coast of the island of Sicily is filled with Greek towns.

那里,我敢说西西里岛三分之二的沿岸,都分布着希腊城镇

耶鲁公开课 - 古希腊历史简介课程节选

Then next to that north-south central hill country, you've got also running north to south, what we call the Great Jordan Rift Valley It goes the entire length of the country And the Jordan River runs through this valley.

靠近这个中心分布着南北走向山丘的国家，你看到,南北走向山谷，被称作约旦大裂谷,它贯穿整个国家的南北,约旦河流过这条裂谷。

耶鲁公开课 - 旧约导论课程节选

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

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选

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？

麻省理工公开课 - 化学原理课程节选

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。

麻省理工公开课 - 化学原理课程节选

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

耶鲁公开课 - 博弈论课程节选

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

耶鲁公开课 - 金融市场课程节选

Because I'm sort of curious as to, again, which is the right way to think about this, And then, I'm going to just call it.

因为我很好奇，正确模拟股票的应该是哪种分布，然后我会调用它。

麻省理工公开课 - 计算机科学及编程导论课程节选

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？

麻省理工公开课 - 固态化学导论课程节选

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

耶鲁公开课 - 博弈论课程节选

So, you should be able to generally identify and draw the general form of these radial probability distributions.

所以你们应该可以大概辨认,并且画出概率,分布的大致形式。

麻省理工公开课 - 化学原理课程节选

These are the tails of the distribution, this is the right tail and this is the left tail.

这里是这个分布的尾部,这是右尾,这是左尾

耶鲁公开课 - 金融市场课程节选

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

耶鲁公开课 - 博弈论课程节选

So, we can look at other radial probability distributions of other wave functions that we talked about.

我们可以来看一看我们讨论过的,其它一些波函数的径向概率分布。

麻省理工公开课 - 化学原理课程节选

OK. So let's actually go to a clicker question now on radial probability distributions.

好，让我们来做一个关于,径向概率分布的题目。

麻省理工公开课 - 化学原理课程节选

We'd started on Monday talking about radial probability distributions for the s orbitals.

我们从星期一开始讨论了,ｓ轨道的径向概率分布。

麻省理工公开课 - 化学原理课程节选

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。

麻省理工公开课 - 化学原理课程节选

Symmetric disposition of polar bonds still results in a nonpolar molecule.

空间对称的极性键分布,还是会导致整个分子为非极性分子。

麻省理工公开课 - 固态化学导论课程节选

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

耶鲁公开课 - 金融市场课程节选

We're going to assume these are the correct numbers and we're going to see if that even split is really a good idea or not.

我们假设这些数据都是准确无误的,我们来分析一下意见如此分布的原因

耶鲁公开课 - 博弈论课程节选

Or it could be uniform, where every value was equally probable.

还有均匀分布，每个值都有相同的可能性。

麻省理工公开课 - 计算机科学及编程导论课程节选

And one way people do this is they take a hint from nature and they try to construct massively distributed networks to do aspects of reasoning.

进行研究的方法之一便是,研究者们从自然界获得启示,然后试图建立起广泛分布的网络,来进行不同的推理

耶鲁公开课 - 心理学导论课程节选