"But this is the path to guarantee that the gravest scenarios of the last time will not repeat.

VOA: standard.2010.06.24

The sum of path number 2 and path number 3 get me to the same place, so the energy change by going through this time path, this intermediate point here back all the way to final state should be the same the red path.

而经过路径2和3可以3,到达同样的末态，因此经过路径,2和3带来的能量的变化，与路径1带来的,能量变化相同。

麻省理工公开课 - 热力学与动力学课程节选

And you already saw last time there was this relationship between the temperature and volume changes along an adiabatic path.

是条绝热路径，而上次你已经看到,沿着绝热路径温度和体积,的变化有这个关系。

麻省理工公开课 - 热力学与动力学课程节选

And tomorrow it's recitation, we'll spend quite a bit of time on shortest path problems.

也就是说我们会在最短路径问题上,花上很多时间。

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

We talked about the path last time being very important. Defining the path.

我可以在整个过程中,改变外界的压强。

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

Now, I wanted to go to through this just to go through one cycle quickly because we're going to be doing these all the time, and the importance of the fact that the path doesn't matter, and you can always connect things together in a way, whatever you want.

我使用这种,利用热力学循环的推导方法的原因在于,今后我们，将经常使用类似的方法,大家要记住路径是无关紧要的，可以随意选取一条路径,来连接两个态。

麻省理工公开课 - 热力学与动力学课程节选