At the top,you follow a short path to a stone-and-steel observation tower.

VOA: special.2009.07.20

So if you think about the way something like, say, Mapquest works, and last week in recitation you looked at the fact that shortest path is exponential.

所以如果你想想电子地图，还有上周学的列举法,你就会发现一般最简单的方法,都是指数递增的。

麻省理工公开课 - 计算机科学及编程导论课程节选

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。

麻省理工公开课 - 计算机科学及编程导论课程节选

At first it appeared that he might have a clear path to the White House.

VOA: standard.2009.08.26

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。

麻省理工公开课 - 热力学与动力学课程节选

And we're very pleased to see the Pakistani leadership has taken some decisions that are moving the country at least back on a path towards reconciliation."

VOA: standard.2009.03.16

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。

普林斯顿公开课 - 人性课程节选

"This conference gives us all an opportunity to reignite its path to progress by working as a team with Haiti at the helm to advance a comprehensive, long-term strategy for Haiti's growth, by coordinating hemispheric and international efforts, by targeting clear goals, by setting benchmarks to gauge our progress, and deploying our diverse skills and resources efficiently and effectively."

VOA: standard.2009.04.14

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。

哈佛公开课 - 计算机科学课程节选

Unencumbered by, I guess, the conventional wisdom, we started out at Yale on a path that I think is--fundamentally that changed the way that institutions manage portfolios.

抛开惯常思维和传统做法,我们在耶鲁开创了一条新路,一条我认为,从根本上,改变了机构投资管理方式的新路

耶鲁公开课 - 金融市场课程节选

So again, for both heat and work we don't get the same result. Now let's look at our special function, right. So here's path A.

所以，再一次说明，对于热量和功,我们得到的结果是不同的,现在让我们看看我们的特殊函数。

麻省理工公开课 - 热力学与动力学课程节选

You just change volume to pressure and basically you're looking at enthalpy under a constant -- anything that's done at a constant volume path with energy, there's the same thing happening under constant pressure path for enthalpy.

可以看到这就是把体积换成了压强,一般我们都是在一种恒定状态下,考虑焓的，任何在恒容条件下,能伴随能量变化的东西，也在恒压条件下伴随焓同样地变化,所以你可以经常。

麻省理工公开课 - 热力学与动力学课程节选

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

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

I take V1 to V2 first, keeping the pressure constant at p1, then I take p1 to p2 keeping the volume constant V2 at V2. Let's call this path 1.

容易计算的路径，第一条路径，是首先保持压强不变,体积从V1压缩到。

麻省理工公开课 - 热力学与动力学课程节选

That's the some of delta u in these two paths and if we look at delta u in just path A, it's zero.

这是这两条路径△U的和,如果我们要看路径A的△U，它也是零。

麻省理工公开课 - 热力学与动力学课程节选