We're going to find other properties that do care about the history of the system like work, that you put in the system, or heat that you put in the system, or some other variables But you can't use those to define the equilibrium state.
我们还会发现其他一些,与系统的历史有关的性质,比如你对系统做的功,或者你向系统传递的热量,或其他的变量,但你不能用它们,来定义平衡态。
But we said earlier that, you know, we're going to get - to the point where we want to have a lot of pieces of -- a lot of variables in memory, maybe 140,000 dictionary words for some future peace set, but we don't want to enumerate line by line by line 140,000 variables.
但是我们之前说过,你们知道的,我们将获得,有很多块--很多变量的内存的指针-,可能有140,000个单词的集合,但是我们不想一行行地列举,140,000行变量。
That is, in real life, the variables that you'd normally control aren't some combination of entropy and these variables, but really their temperature, volume and pressure, any couple of those, might be what you'd really have under experimental control.
在生活中,我们所能控制的,不是熵和其他变量的组合,而是温度,体积,压强,以及其中的两两组合,这些才是试验中所能控制的。
I think that book will give you all the basic principles you need in calculus of one variable, more variables, elementary complex numbers, maybe solving some problems with vectors and so on, which you're going to get into.
我想那本书会给你所需的所有基本知识,包括一元和多元微积分,简单的复数运算,可以解决一些与矢量有关的问题,而这正是你们将要学的
And the useful outcome of all that is that p we get to see how entropy changes with one of those variables in terms of only V, T, and p, which come out of some equation of state.
这样做的重要结果是,我们得到了熵随着V,T或者,其中一个变量变化的情况,这些可以从状态方程得到。
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