The amount of work you've put in to get here depends on the path. It's not a function of state.

这些量就能,决定系统的状态了。

麻省理工公开课 - 热力学与动力学课程节选

Maximum work out is by reversible path.

可逆过程产生最大功。

麻省理工公开课 - 热力学与动力学课程节选

The problems are set up so that, if you start down the right path, it should be pretty straight-forward to work it through If you start down a plausible but incorrect path, you can sometimes find yourself stuck in the weeds somewhere, and we want to bring you back in.

问题提出了，如果你从，一开始就走正确的道路，解决的途径,就一目了然了,如果你走上一条貌似正确但实际错误的道路，你会在某时某刻,发现自己陷入泥沼，于是我们就会把你拉回来。

麻省理工公开课 - 计算机科学及编程导论课程节选

Now, we're going to go back to Roger Ibbotson at the School of Management. He did some path breaking work in terms of describing capital markets returns over reasonably long periods of time.

先讲回到管理学院的罗格·伊博森,所进行的开创性研究,描述了在相当长的时期内,资本市场的收益情况

耶鲁公开课 - 金融市场课程节选

And as I followed many of the students after they graduate, whether the students who work with me here as undergrads or students who I tutored, when I followed the path,it wasn't just empty words.

据我了解，很多学生毕业后，无论是与我一起工作,还是我辅导的学生，当我了解他们的前路，并不是些空话。

哈佛公开课 - 幸福课课程节选

And what you'll find is that the maximum work out is obtain for a reversible path.

对于各种可能的中间路径，我们将发现,做功做多的是可逆路径。

麻省理工公开课 - 热力学与动力学课程节选

So that's our work in this path and heat.

这就是这个过程中的功和热。

麻省理工公开课 - 热力学与动力学课程节选

So, let's calculate w1. The work for path one.

计算这两个过程中做的功。

麻省理工公开课 - 热力学与动力学课程节选

And the first law says, well heat and work are different forms of energy, and we can add them, and the path dependence of these two things is somehow cancelled in the fact that we have this internal energy.

热力学第一定律说，热和功是能量的不同表现形式，我们可以把它们加起来,它们与路径相关的部分相互抵消,我们就有了内能。

麻省理工公开课 - 热力学与动力学课程节选

You've got to spend the time to make sure that everything is well defined before you start trying to work out these problem More about the path. There are a couple ways you could go through that pass If I look at this smooth path here.

你要花时间确认,在你开始尝试解题前,切已经被很好地定义,关于路径还有些问题,你可以用两种不同的方式经过这条路径,看这条平滑的路径。

麻省理工公开课 - 热力学与动力学课程节选

So if you need the help of the notes it's in there but I would urge you to work through it on your own, and it's the following: let's start with the same path A, all right?

如果你需要帮助，可以去看讲义,但我还是希望你们自己去推导它,它是这样的，让我们从：,相同的路径A开始，好吗？

麻省理工公开课 - 热力学与动力学课程节选