And I wanted to do it a different way which is a little bit convoluted, but it introduces the idea of a thermodynamic cycle, and it's something that we're going to use a lot in the class.
现在我将用另一种,有些复杂的办法来推导这一关系,在这一过程中引入,我们今后会常接触到的,热力学循环的概念。
So if we superimpose our radial probability distribution onto the Bohr radius, we see it's much more complicated than just having a discreet radius.
为波尔半径,这其实比分立的轨道,要复杂很多,我们可以有任何的半径,但有些半径的概率。
These are setups of pieces on the chess board that have particular solutions. And they're very complex, and they have a kind of aesthetic form to them.
象棋有些设置是有专门的,解决方法的,很复杂,它们有一种美学在里面。
We have seen log, linear, quadratic, and exponential.
平方级的和指数级复杂度的方法,再说一遍,可能会有些常量。
Archaeologists in the nineteenth and twentieth centuries were stunned to find the ruins and the records of remarkable peoples and cultures--massive, complex empires in some cases, but some of which had completely disappeared from human memory.
十九和二十世纪的考古学家们,震惊地发现了,古代伟大名族和文化的遗迹,有些还是大规模,复杂的帝国遗迹,但也有一些就完全从人类记忆中消失了。
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