Doing those probability density dot graphs, we can get an idea of the shape of those orbitals, and we know that they're spherically symmetrical.
通过那些概率密度图，我们可以知道轨道的形状，我们知道它们是球形对称的。
So, doing those probability density dot graphs, we can get an idea of the shape of those orbitals, we know that they're spherically symmetrical.
概率密度点图上,我们可以对这些轨道的形状，有个大概了解,我们知道它们是球，对称的,我们今天不讲。
Think of it as a probability density plot.
把它看成是一个概率密度图。
So again if we look at this in terms of its physical interpretation or probability density, what we need to do is square the wave function.
如果我们从物理意义或者,概率密度的角度来看这个问题，我们需要把波函数平方。
So if we're talking about probability density that's the wave function squared.
如果我们要讨论概率密度，这是波函数的平方。
And so, the radial probability density at the nucleus is going to be zero, even though we know the probability density at the nucleus is very high, that's actually where is the highest.
所以径向概率密度，在核子处等于零，虽然我们知道在，核子处概率密度很大，实际上在这里是最大的，这是因为。
So again, we can think about the probability density in terms of squaring the wave function.
同样的，我们可以把，波函数平方考虑概率密度。
Figure 1 shows a typical normal probability density function, so called because most observations fall into this sort of distribution.
图1显示了一个典型的正态概率分布函数，这样命名是因为绝大多数值都属于这个分布范围内。
This is the probability density map, so we're talking about the square here.
这是它的概率密度图，我们看的是平方。
This is not a node because a node is where we actually have no probability density.
因为节点处是，没有概率密度的，所以。
Anywhere where that's the case we're going to have no probability density of finding an electron.
这时面内任何地方，找到电子的概率密度都是零。
So, that's probability density, but in terms of thinking about it in terms of actual solutions to the wave function, let's take a little bit of a step back here.
这就是概率密度，但作为，把它当成是，波函数的解，让我们先倒回来一点。
Let's think about probability density.
让我们来考虑概率密度。
PROFESSOR: Probability density, yes.
概率密度。
Well, it depends on what you know about the measurements' probability density function (PDF).
它依赖于您对度量值的概率密度函数(probability density function, PDF)的认识。
a perfectly spherical shell dr at some distance, thickness, d r, dr we talk about it as 4 pi r squared d r, so we just multiply that by the probability density.
在某个地方的完美球型壳层,厚度，我们把它叫做4πr平方，我们仅仅是把它,乘以概率密度。
So, again we can use these probability density plots, which are just a plot of psi squared, where the density of the dots is proportional to the density, the probability density, at that point.
同样的我们可以利用这些概率密度图，这是psi的平方的图，这里面点的密度，正比于概率密度。
Figure 1: Normal probability density function, which illustrates that actual observations may vary from the expected (or average).
图1：正态概率分布函数，它表明实际的观测值可能会偏离期望值(或者平均值)。
In such a situation, mass fraction probability density function model is an appropriate method to approach the reaction phenomena.
在这样情况，许多分数可能性密度函数模型是接近反应现象的一个适当的方法。
The probability density function (PDF) is constructed from the time distributions of signal and backgrounds and the relations among time, time uncertainty, mass, and mass difference variables.
根据信号、本底的时间分布以及时间、时间误差、质量、质量差等变量之间的关系，构建概率密度函数。
It is based on the markov random field with new features, such as clique potential, initial nodes probability density.
此应用是基于马尔可夫随机场的新特性：势团势能，初始节点的概率密度。
Based on the concepts of randomness and fuzziness, a fuzzy reliability analysis method of probability density function equivalent is proposed in this article.
依据随机性和模糊性的基本概念，提出了当量概率密度函数的模糊可靠性分析方法。
The square modulus of the wave function is proportional to the probability density of finding the system at each point in the configuration space.
波函数的模平方正比于体系处在其位形空间各个点的几率密度。
It also gives a construction approach for approximating the probability density function of activity duration, which will facilitate the computer simulation of the PERT diagram.
本文还给出了一种简练的函数构造法，用该方法构造的函数能较好地逼近活动工期概率密度函数，方便了对计划网络图的计算机仿真运算。
Probability density of finding an electron within that molecule in some given volume.
在分子内某空间找到，一个电子的概率密度。
We get a buildup of electronic probability density between the nuclei.
我们得到在两个核间的电子几率密度的堆积。
In pattern recognition, regression estimates, the estimated probability density function, and other aspects of application.
在模式识别、回归估计、概率密度函数估计等方面都有应用。
The wave function and probability density are obtained by the creation and annihilation operators of the invariant operator.
通过不变量算子的产生和湮灭算符，得到波函数和几率密度。
The method not only would be effective to describe the inter-frame correlation information, but overcome tie of the state probability density function being mixture Gauss distribution.
它不仅能有效地在语音识别中引入帧间相关信息，而且能克服状态输出概率密度函数为混合高斯分布的束缚。
The probability density function of velocity response of oleo damper excited by exponential colored Gaussian noise has been obtained.
从而导出了油液阻尼器受指数型高斯色噪声外激励时的速度响应的概率密度函数。
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