We can graph out what this is where we're graphing the radial probability density as a function of the radius.

我们可以，画出它来,这是径向概率密度,作为半径的一个函数图。

麻省理工公开课 - 化学原理课程节选

So when you operate on the wave function, what you end up with is getting the binding energy of the electron, and the wave function back out.

所以当你将它作用于波函数时，你得到的是电子的结合能,和后面的波函数。

麻省理工公开课 - 化学原理课程节选

When you call a function, what actually happens is that function gets its own chunk of memory that's identical in size to the data type that it expects.

当你调用一个函数，实际上发生的是,函数得到了自己的内存块，相同的类型,是占有一样大小的内存的。

哈佛公开课 - 计算机科学课程节选

I tell you something about the second derivative of a function and ask you what is the function.

我告诉你一个函数的二阶导数,然后问你这个函数是什么

耶鲁公开课 - 基础物理课程节选

It's the notion of what the function of that state is, I think, that is most striking.

我认为,这种关于城邦功能的观念,才是最为引人瞩目的

耶鲁公开课 - 古希腊历史简介课程节选

And so the food is a broader constituent of what we consume; the nutrient will be the pieces of the food that affect bodily function.

所以食物的概念要比吃的东西更加广泛,食物中的营养素影响着我们的人体机能

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选

What is this? This is a wonderful piece of abstraction. It is saying, you don't need to know squat about what's inside the body of this function. You don't have to worry about the parameter names, because they're going to be preserved, you don't need to worry about how I'm doing it, this tells you how you can use this, in order to use it correctly. Of course, I can then close it off, and off we go.

但是这能告诉你一些信息,这是什么？,这是一段完美的抽象,它的意思是你不需要知道,这个函数的内部构造，你不必担心参数是否重名，因为它们已经被预存了,你不需要担心我如何使用它,它告诉了你你该如何操作，从而正确的使用它，当然我也可以把它关掉。

麻省理工公开课 - 计算机科学及编程导论课程节选

If we overlay what the actual molecular orbital is on top of it, what you see is that in the center you end up cancelling out the wave function entirely.

如果我们把真实的分子轨道覆盖在上面，你可以看到中间的,波函数是完全抵消掉了。

麻省理工公开课 - 化学原理课程节选

So, first, if I point out when l equals 0, when we have an s orbital, what you see is that angular part of the wave function is equal to a constant.

首先，如果ｌ等于０,那就是ｓ轨道，你们可以看到,它波函数的角度部分是一个常数。

麻省理工公开课 - 化学原理课程节选

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。

麻省理工公开课 - 化学原理课程节选

This is a table that's directly from your book, and what it's just showing is the wave function for a bunch of different orbitals.

这是一张你们书里的表格，它展示了各种,不同的轨道波函数。

麻省理工公开课 - 化学原理课程节选

So what we're graphing here is the radius as a function of radial probability.

我们要画的是径向概率,作为半径的函数分布。

麻省理工公开课 - 化学原理课程节选

So, the example that we took on Monday and that we ended with when we ended class, was looking at the 1 s orbital for hydrogen atom, and what we could do is we could graph the radial probability as a function of radius here.

周一我们,最后讲到了，粒子是氢原子１ｓ轨道，我们可以画出,这幅径向概率分布曲线。

麻省理工公开课 - 化学原理课程节选

So, we can use Coulomb's force law to think and it does that, it tells us the force is a function of that distance. But what it does not tell us, which if we're trying to describe an atom we really want to know, is what happens to the distance as time passes?

来考虑这两个粒子之间的,它告诉我们力随距离的函数关系,但它不能告诉我们，而我们如果要描述,原子又非常想知道的是,距离随时间的变化时怎样的？

麻省理工公开课 - 化学原理课程节选