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

It's totally legit to cull a function, get back a value, do nothing with it other than compare it to another value.

挑选一个函数是完全合法的，返回一个值，用它来做些事情而不是用它与其它的值比较。

哈佛公开课 - 计算机科学课程节选

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。

麻省理工公开课 - 化学原理课程节选

You try to design actually I'm going to come back to that in a second. It's like you're trying to use a hash function that spread things out pretty evenly. But the places you store into in those lists may have to themselves have a small list in there, and when you go to check something, you may have to do a linear search through the elements in that list.

你尝试着去设计,实际上过会儿我会回头讲解这个问题,类似于你需要用一个哈希函数,非常平均的将物体分发出去,但是在列表中你数据,映射到的地方可能会有自己的一小段列表，当你回头查找数据的时候,你可能需要在那一小段列表中做线性查找。

麻省理工公开课 - 计算机科学及编程导论课程节选

It's also about: how banks operate; what their function is in our society; and, why they are such important institutions that have gone back for hundreds of years and remain powerful, central features in our economy.

也会讲到,银行如何运作,银行在社会上的功能,以及为什么几百年来,银行依然在经济生活中拥有,重要的作用

耶鲁公开课 - 金融市场课程节选

In terms of function they're very important because this stem cell which is produced goes back into the population of stem cells and is able to repeat this process to form new committed progenitor cells and to form new stem cells.

但就功能而言这些干细胞则至关重要,因为这类分裂产生的子细胞,依然是干细胞,可以再次重复上述步骤,生成新的定向祖细胞,和新的干细胞

耶鲁公开课 - 生物医学工程探索课程节选

s We are back over to E as a function of n, l, m and s, only we got there through this other torturous route.

我们回到将E作为函数n，l和，只要我们解决了这个烦人的路径。

麻省理工公开课 - 固态化学导论课程节选

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

So we have the operationon the wave function in terms of r, theta, and phi and remember this e is just our binding energy for the electron, and we get back out this wave function.

我们用r，θ，φ来表示,将算符作用于波函数,而且记住e仅仅是电子结合能，然后后面加上波函数。

麻省理工公开课 - 化学原理课程节选