That was the song "Discoverer." Like many R.E.M.songs, this one is poetic with a meaning that is not always clear.

VOA: special.2011.03.18

In an orbital is remember that this area right here at r equals zerio, that is not a node.

例如对于１ｓ轨道,记住这里ｒ等于０处不是一个节点。

麻省理工公开课 - 化学原理课程节选

And we can simplify this expression as saying negative e squared over 4 pi, epsilon nought r squared. Epsilon nought is a constant, it's something you might see in physics as well.

也会遇到它,在这里，你可以就把它,理解为一个转换系数,我们需要做的。

麻省理工公开课 - 化学原理课程节选

And orbiting around this is a lone electron out at some distance r.

有一个单电子,在环原子核的轨道上运行。

麻省理工公开课 - 固态化学导论课程节选

But since sine square plus cosine square is 1, you'll find this vector has a fixed length R.

但是由于正弦和余弦的平方和为1,你会发现这个矢量模长恒等于 R

耶鲁公开课 - 基础物理课程节选

take the derivative of this, get the velocity vector and you notice his magnitude is a constant Whichever way you do it, you can then rewrite this as v square over r.

对这个式子求一次导,就能得到速度矢量,你会发现其模长是常数,不管用什么方法,加速度也可以写成 v^2 / r

耶鲁公开课 - 基础物理课程节选