There are two aspects of it. Thus far, the problem sets have mostly focused on function.

关于这个问题有两个方面，迄今，问题集只关注了方法。

麻省理工公开课 - 计算机科学及编程导论课程节选

This is going to be a function, I only need two variables, and here I've got three variables down.

我们只，需要两个变量，而现在这里有三个变量。

麻省理工公开课 - 热力学与动力学课程节选

And what's this little loop say to do? This little loop says I'm going to write a function or procedures that takes in two messages.

这个小循环是做什么的,这个小的循环是,我要写一个函数或者过程来接受两条消息。

麻省理工公开课 - 计算机科学及编程导论课程节选

No matter where you specify your electron is in terms of those two angles, it doesn't matter the angular part of your wave function is going to be the same.

不论你将，这两个角度,取成什么值，波函数的角向部分,都是，相同的。

麻省理工公开课 - 化学原理课程节选

So my death occurs at star two,loss of bodily function.

我的死亡就发生在星号二，生理功消失时。

耶鲁公开课 - 死亡课程节选

int Y Well, I said int X and int Y; so that gave me one square here called X, one square here ; or wherever, called Y, done, one was put in here; two was put in here, and then I called this function swap.

好的，我声明了int，X，和;,然后我这里有个正方形叫做X，一个正方形,叫做Y，完成，1放在这里;,2放在这里，然后我调用这个swap函数。

哈佛公开课 - 计算机科学课程节选

We have Player I's payoff as a function of the two efforts and now I want to find out what is Player I's best efforts given a particular choice of S2? Yeah.

参与人I的收益是两人付出的函数,那么对于某个给定的S2,怎么计算参与人I的最佳对策呢

耶鲁公开课 - 博弈论课程节选

I would say, okay, this guy wants me to find a function which reduces to the number a when I take two derivatives, and I know somewhere here, this result, which says that when I take a derivative, I lose a power of t.

出题者想要我找出一个函数,它在经过两次求导后得到数字a,我知道这里的某个地方,这个结论告诉我,我每求一次导,t就降一次幂

耶鲁公开课 - 基础物理课程节选

So you can see there's this radial part here, and you have the angular part, you can combine the two parts to get the total wave function.

你们可以看到，这是径向部分，这是角向部分，把这两部分结合到一起,就是总的波函数。

麻省理工公开课 - 化学原理课程节选

And in either case if we first talk about constructive interference, what again we're going to see is that where these two orbitals come together, we're going to see increased wave function in that area, so we saw constructive interference.

在任何情况下,如果我们首先讨论相长干涉的话，我们同样会看到,当这两个轨道靠拢的时候，我们看到这个区域有波函数增加，所以我们看到的是相长干涉。

麻省理工公开课 - 化学原理课程节选

So, if we look at this graph where what we're charting is the internuclear distance, so the distance between these two hydrogen atoms, as a function of energy, -- what we are going to see is a curve that looks like this -- this is the general curve that you'll see for any covalent bond, and we'll explain where that comes from in a minute.

因此，如果我们来看一看这幅曲线图,这里我们画的横坐标是核间距，也就是这两个氢原子之间的距离，纵坐标是能量，我们看到的这是能量关于核间距的曲线-,这是一条普遍的曲线，在研究任何共价键时你都会遇到，我们马上就会解释一下它是怎么来的。

麻省理工公开课 - 化学原理课程节选

So, it turns out that n is not the only quantum number needed to describe a wave function, however. There's two more you can see come out of it.

事实上，n不是描述一个波函数需要的,唯一的量子数，你们可以看到，还需要，两个量子数。

麻省理工公开课 - 化学原理课程节选

We'll then look at the quantity, internal energy, which we define through the first law, and we think of it as a function of two variables T and V.

接下来我们考虑内能，这是由热力学第一定律定义的物理量，我们把它看作T和V的函数。

麻省理工公开课 - 热力学与动力学课程节选

Think of this as a function that takes two techs arguments, the first of which is univs and the second of which is techs. And this is just a different syntax for writing that function call.

想下有两个参数的函数,第一个是univs第二个是,这就是对于函数调用的,不同语法的书写规则。

麻省理工公开课 - 计算机科学及编程导论课程节选

So we can draw that for 1 s a, we can also draw it for 1 s b, and what I'm saying for the molecular wave function is that we have the interference between the two, and we have a constructive interference, so we end up adding these two wave functions together.

所以我们可以对1sa画出它来，我们也可以对1sb画出它来，对于分子波函数我要说的是,它们两者之间会干涉，这里我们有相长干涉，所以我们得到的是波两个波函数加起来。

麻省理工公开课 - 化学原理课程节选

We call that a node, r and a node, more specifically, is any value of either r, the radius, or the two angles for 0 which the wave function, and that also means the wave function 0 squared or the probability density, is going to be equal to zero.

节点就是指对，于任何半径，或者，两个角度,波函数等于，这也意味着波函数的平方或者概率密度,等于，我们可以看到在1s轨道里。

麻省理工公开课 - 化学原理课程节选

So this is version two of the swap function and, in fact, it is almost identical, this is before, this is after, before, after and it looks like the solution to this problem that we've been revisiting a couple of times now is just to do what?

这个swap函数的第二个版本，实际上，这几乎是一样的，这是之前的，这个之后的，之前的，之后的，这看起来像是这个问题的解决方案,我们一直多次访问它,目的是什么呢？

哈佛公开课 - 计算机科学课程节选

So if, in fact, we want to describe a wave function, we know that we need to describe it in terms of all three quantum numbers, and also as a function of our three positional factors, which are r, the radius, phi plus the two angles, theta and phi.

实际上，我们想描述波函数，我们知道我们需要,用这三个量子数来描述它，同样，波函数还是,三个位置变量的函数，它们是r半径，还有两个角度theta和。

麻省理工公开课 - 化学原理课程节选

R And we abbreviate that by calling it r, l by two quantum numbers, and an l as a function of little r, radius.

我们把它简称为，两个指定的量子数n和，它是半径小r的函数。

麻省理工公开课 - 化学原理课程节选

And what we end up forming is a molecular orbital, because as we bring these two atomic orbitals close together, the part between them, that wave function, constructively interferes such that in our molecular orbital, we actually have a lot of wave function in between the two nuclei.

最后我们得到了分子轨道，因为当我们把这两个原子轨道放在一起的时候，它们之间的部分，波函数，相干相加，所以在分子轨道里，我们在两个原子核之间有很多波函数。

麻省理工公开课 - 化学原理课程节选

I have yet to show you the solution to a wave function for the hydrogen atom, so let me do that here, and then we'll build back up to probability densities, and it turns out that if we're talking about any wave function, we can actually break it up into two components, which are called the radial wave function and angular wave function.

我还没有给你们看过,氢原子波函数的解，让我现在给你们看一下，然后再来说,概率密度，实际上,对于任何一个波函数来说，我们可以把它,分解为两部分，分别叫做径向波函数,和角向波函数。

麻省理工公开课 - 化学原理课程节选