v We don't know what it is yet. In order to change this from a p to a V, you have to use the chain rule. So let's use the chain rule.

为了把这里的p变成,我们需要利用链式法则,好，让我们使用链式法则。

麻省理工公开课 - 热力学与动力学课程节选

OK, so now we can take the result from this and put it onto a p v diagram.

好，现在我们有了结论,把它画进pv图。

麻省理工公开课 - 热力学与动力学课程节选

Okay. Now watch what happens as we continue with this I,VI,IV,V,I progression.

好，在这一段I-VI-IV-V级的和弦进行后，音乐发生了什么变化呢。

耶鲁公开课 - 聆听音乐课程节选

Okay. So that's the "Duke of Earl" progression: the basic I,VI,IV,V,I.

好，这就是Duke，of，Earl这首歌的和弦进行，I，VI，IV，V，I级。

耶鲁公开课 - 聆听音乐课程节选

OK, so for a constant volume process, du we can write du, partial derivative of dT u with respect to T at constant V, dT, dv plus partial derivative of u at constant V, dV.

好，对于一个恒定体积的过程，我们可以写出,等于偏u偏T，V不变，加上偏u偏V，T不变。

麻省理工公开课 - 热力学与动力学课程节选