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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。
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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。
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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。
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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。
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So that you're not just handed something that's entirely new to you with no idea which direction to go, we actually do set you off on an appropriate path.
这样一来就不会因为面对完全陌生的东西,而不知何去何从了，我们真心希望能把你们带到正确的道路上来。
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Hess' Law states that for any chemical reaction, the energy change is path independent.
盖斯定律表明，对于任意化学反应，能量变化并非是路径依赖的。
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And, so, this is an entry path to see this, to see this thing brought down as a symbol of centralized oppression.
这正是观察集权压制,走向末路的一个切入点
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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。
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If you have a quantity which is constant over any closed path, that quantity is a thermodynamics state function.
如果有一个物理量,对任何闭合回路积分是常数，这个物理量就是一个热力学态函数。
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Path number 2 on my diagram it's a reversible, this path number 2, it's a reversible constant pressure path.
路径，首先是一个，等压过程。
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so we're going to use this concept of the path to go from the initial point to the end point.
在处理状态函数时,路径的选取。
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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。
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More than one can say or care to admit, it may ultimately be a matter of temperament which path one chooses to take.
比起大家可以说出来或者愿意承认的程度更甚，可能最终,选择走那条路的问题会成为一个个性问题。
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My path in life was fundamentally altered by just a handful of courses at this place and this was in fact one of them.
在哈佛所学的一些课程,从根本上改变了我的人生道路,这门课就是其中之一。
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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。
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So, this observation is equivalent to saying that there must be something that is path independent.
这个表述相当于说,一定存在某个物理量是与路径无关的。
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