so, remember we can break up the total wave function into the radial part and the angular part.

记住我们可以把整体波函数,分解成径向部分和角向部分。

麻省理工公开课 - 化学原理课程节选

Well the idea of a hash, in fact, what's called a hash function is to have some way of mapping any kind of data into integers.

我要怎么做？实际上想法还是哈希,通过一个哈希函数,把任何种类的数据都映射成整数。

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 now, this equation here relates three state functions together: the pressure the volume, and the temperature. Now, if you remember, we said that if you had a substance, if you knew the number of moles and two properties, you knew everything about the gas.

压强，体积和温度,大家应该还记得,我们提过，只要知道气体的摩尔数,和任意两个状态函数,就可以推导出其他的状态函数，这样，我们可以把它改写成。

麻省理工公开课 - 热力学与动力学课程节选

And what here is just a graph of the 1 s wave function going across some radius defined this way, and you can see that the probability - well, this is the wave function, so we would have to square it and think about the probability.

这里是,1s波函数,沿这个方向的图，你们可以看到概率,这是波函数，所以我们可以把它平方,并想成是概率。

麻省理工公开课 - 化学原理课程节选