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。

麻省理工公开课 - 化学原理课程节选

So, one way we could look at it is by looking at this density dot diagram, where the density of the dots correlates to the probability density.

其中一个理解它的方法,就是通过看这个密度点图，这里点的密度,和概率密度想关联的。

麻省理工公开课 - 化学原理课程节选

This could be 1979, this could be 1980, and we keep adding points so we have a whole scatter of points.

假设这里是1979年,这里是1980年,一直添加数据点,就形成了一个散点图

耶鲁公开课 - 金融市场课程节选

Square root of 16, and my plot basically shows it crosses at 4 and-- well, I think that's minus 4.

我的图清楚的显示这个函数,在4和-4两个点和x轴交合。

麻省理工公开课 - 计算机科学及编程导论课程节选

Okay. How many--and be courageous here--how many have not heard Richard Strauss's Also Sprach Zarathustra?

勇敢点,多少人从没听过,理查 施特劳斯的查拉图斯特拉如是说

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There's a pretty interesting and potentially important gender factor going on here where the women in the orange line, after about this point, start to diverge.

性别在该研究中是一个非常有趣的因素,并且是个潜在的重要因素,图中橙色曲线代表女性,在这个点之后,两条曲线开始分离

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选

This picture on the bottom here is really just a series of colored dots.

最底下的这张图中,只有一系列彩色的点

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What you see is a scatterplot.

你们看到的是一个散点图。

麻省理工公开课 - 固态化学导论课程节选

So here's a third point we can use.

这样图上就有三个点了

耶鲁公开课 - 博弈论课程节选

So let's get some value right here.

它有值f，对应图中这个点；

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Right, because when we think of an energy diagram, that lowest spot there is going to have the lowest value of the binding energy or the most negative value of binding.

对因为当我们考虑,一个能量图时那里最低的点,是具有最低的结合能,或者最不活跃的结合能。

麻省理工公开课 - 化学原理课程节选

So for each person, there is a point representing my income today and my income next period.

所以每个人,在这图上都有一个点表示目前收入和,下一个时间段的收入

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But the hypothesis was based on this association more or less, that looked at the rates of breast cancer across different countries and how much dietary fat those countries consumed and so you get a nice little scatter plot.

但以上假说,多少也基于一些合作研究,看看乳腺癌在不同国家,的发病率,那些国家在饮食中摄入了多少脂肪,然后就会得到一个不错的散点图

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选

Something I'll also point out as you see these dashed line that tell you where the individual molecular orbitals are arising from, as you get to higher and higher atomic numbers of molecules that you're making, it makes a lot more sense to look at a diagram when you draw these dotted lines in, because they can start to get a little bit confusing.

我要指出的是，你们看这些虚线,它们告诉你,每个分子轨道的起源是什么，当你的原子数,越来越高的时候，画出这些点线,使图更容易理解，因为现在开始变得有一点混乱了。

麻省理工公开课 - 化学原理课程节选

The furthest point that I recorded was 28% oil-- that puts them there-- so if they--if you wanted to, where would it be?

这图上离原点最远的点包含28%的石油-,这已经到了图上那里了-,因此如果他们。。。如果你们想的话，那一点会在哪儿？

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It looks like we hit zero, but we actually don't remember that we never go all the way to zero, so there's these little points if we were to look really carefully at an accurate probability density plot, And then, for example, how many nodes do we have in the 3 s orbital?

但其实没有，记住，我们永远不会到零,如果我们，在概率密度图上,非常细致的看这些点的话,它永远不会到零，在3s轨道里，有多少个点呢？，2个，正确？

麻省理工公开课 - 化学原理课程节选