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 it turns out there's a solution to this: If you need more precision, more digits after the decimal point than a float allows, what do you go for instead?

所以这里有一个解决方案：,如果你需要比float类型允许的更高精度，小数点后更多位数,那你该用什么取代它？

哈佛公开课 - 计算机科学课程节选

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