And all this is, is saying that when you take a mixed second derivative, it doesn't matter in which order you take the two derivatives.

麦克斯韦关系的本质是,当你考虑混合的二阶导数时，求导的顺序不影响最后的结果,现在，我们利用这些关系。

麻省理工公开课 - 热力学与动力学课程节选

See you Friday. We'll finish on calorimetry and thermochemistry and then we'll start in on one of the really most difficult topics that we'll deal with all semester, which is a second law and our special function that

好，我们周五见,我们会讲完量热法,和热化学的内容，然后我们会开始,讲这个学期最难的话题之一,第二定律以及我们

麻省理工公开课 - 热力学与动力学课程节选

Now, the good news in all of this is the studies that looked at physical attractiveness in this way were just looking at what predicts a second date after a first date.

好消息的是,这只是一种研究生理吸引力的实验,关注点是,预测相亲后约会可能性的因素。

耶鲁公开课 - 心理学导论课程节选

The second particle was deflected almost not at all. But what he could tell from the fact that there was a second particle at all, and the fact that it was in this direction, is that in addition to his negative particle, he also, of course, had a positive particle that was within this stream of rays that were coming out.

粒子的强烈信号,有着强烈的对比,第二个粒子几乎，不发生偏转，他能判断这是，第二个粒子的原因是它在这个方向,所以在出射射线中,除了有带负电的粒子外。

麻省理工公开课 - 化学原理课程节选

Now, just to repeat, again I know I've got some math phobics in the audience, let me just slow down a second, all I'm doing here is I'm saying look at this equation of the pink line, look at this equation of the blue line, X is when they cross, i.e., they are equal to each other.

我再重复一遍,我知道你们之中有些人数学不怎么好,我放慢一点说,我是这么解的,看这条粉线的方程,还有这条蓝线的方程,X是二者的交点,也就是说这点两个方程相等

耶鲁公开课 - 博弈论课程节选