And the path that I'm describing then, let's assume that we're raising the temperature up is this path right here.
经过一个,等压过程,路径就是这样。
I just realized that education was kind of the path that I wanted to go on.
最后意识到我想接着做教育这一行。
so I'm heating up the system in this path here, and then to connect the 2 endpoints here, a constant temperature path.
需要再用,一个等温过程,这两个状态。
When it comes to the dangers that I might have faced when it came to going down a more destructive path.
当我在书中谈到我可能遇到的危险时,当我谈到走上一条更具毁灭性的道路时。
So I could get to that object either through this path or through that path, it didn't matter which path I use to modify it, I would see it when I looked at the other. Yes.
另外一条绑定获得这个对象,无论我通过哪个绑定来修改它,我都能在两个绑定中都看到做的改变,是这样的。
I knew from the relatively limited set of course offerings that my school had the things I felt I was good at and so I went off on the path.
从相对有限的课程设置里我得知,学校里有我擅长的科目,所以我走上了这条道路。
PROFESSOR: Okay, so before we get to some of these course policies, I think I'll tell you a little bit about my path to chemistry as well.
教授:好,在我们讲这门课的相关政策之前,我也先和你们说说我怎么走上化学的道路的。
The biggest thing for me on that path is I needed to draw something out and I needed to get it out of my head.
在我看来,这条路上最重要的莫过于,是需要描绘出一些东西,再把它们忘却。
Depending on what you call external and internal environment, this path that I'm tracing here, deep within your digestive system, is really directly connected to the outside world through both ends.
基于你们所谓的外环境和内环境,我在这里我所指的消化系统内部通路,它的两端确实与外界环境直接相通
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。
All right, so I need to tell you the path, when I go from one state to the other.
好,当我从一个状态过渡到另一个状态时,我需要告诉你们路径。
The path was rocky, as some of them... Eventually I wound up at Yale and then I wound up staying at Yale to teach.
路途虽坎坷。,但最终我在耶鲁大学留下了,并在此执教。
I could have that path be very slow and steady, so that at every point along the way, my gas is an equilibrium.
我可以很慢,很稳定地经过这条路径,因此在这条路径上的任意一点,气体都处于平衡态。
So I'm going to write that immediately here, u=0 because I know the answer to that path here.
等温过程,我们可以得到,Δ
So if I worry about energy I have a pretty good chance of extracting out these heat capacities, right, and I don't have to worry about exactly which path and I can really mix things up.
而能量与热容有密切的关系,从能量就可以就算出这两个热容,我不需要考虑到底是哪一条路径,可以随意计算。
So for an irreversible process, I wouldn't really be allowed to put a path there.
不可逆过程,是无法画出路径曲线来的。
I could change my external pressure through the whole process, and that's the path.
事实上外界压强,也不必固定。
So, I could have two steps in my path.
我的路径中有两步。
Because I know energy doesn't care about the path.
由于能量不依赖于路径。
I start off, either I take this path and carry on, or I take that path and carry on, but each box, if you like, gets touched exactly once.
程序开始后,或者采取这条路径然后继续,或者采取那条路径然后继续,但是每个图形,如果你喜欢这么说的话。
So if I take p times V to the gamma, anywhere on the path, it's going to be equal to the same relation This is going to be true for any point on the path.
结果都,将等于,初态点的,只要在这条路径上。
And I found a path of both, I think, humility and power to walk down.
我发现了一条能够沿着走下去的,融合了谦卑和力量的道路。
It configured the Mac or in this case, the Linux server to put it into my so-called path which just means I know where it is automatically.
在我的Mac机,或者是我们现在的这个Linux服务器上把它设置成,自动放到我知道的,路径下。
So what I'm saying is that du through path 1 plus du going through path 3.
于是1,因为能量。
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