It's true for any gas, and if I remove this limit here, r t is equal to p v bar, I'm going to call that an ideal gas.

这样的气体被称作理想气体,这就是理想气体的性质，理想气体的涵义是什么？

麻省理工公开课 - 热力学与动力学课程节选

So the delta v here is an exact differential, but this dw is not.

你是如何,到达这个状态的。

麻省理工公开课 - 热力学与动力学课程节选

ArgV You can think of this variable Arg V as literally an array a sequence of chunks of memory that literally are back to back to back in memory, and when you say bracket zero, by convention, you are referring to the variables stored here.

你可以想象这个变量,按顺序排列的一块块内存,依次地在内存中紧邻着的，当你指明，按照惯例，涉及,存储的变量在这里。

哈佛公开课 - 计算机科学课程节选

When a particle moves in a circle, it has an acceleration towards the center of this size, v^2 over R.

当一个质点在圆周上运动时,它有一个指向圆心的加速度,v^2 / R

耶鲁公开课 - 基础物理课程节选

We'll get an expression in which there is no t; t has been banished in favor of v.

我们现在得到了一个不含t的表达式,t被v替换掉了

耶鲁公开课 - 基础物理课程节选

We want to do that because we have too many variables here. We've already got dV p we'll get rid of p as an additional variable and replace it with V which is already in here.

我们之所以要那么做,是因为这儿有太多变量了,我们已经有了dV，我们要把,作为额外的变量消去，用已存在的V代换它。

麻省理工公开课 - 热力学与动力学课程节选

So I just have to see, oh, here's a D, let me keep looking, D here's an A, keep looking here's a V, here's an I, here's a D and yet, and this is one tidbit we introduced a week or so ago, how do I now know if I'm just given the address of the start of the string where the end is?

我只需要看到，哦，这里是一个D，让我接着往下看，这里是A，接着这是V，这是I，这是,然而，这是我们一周以前介绍的花絮，如果你给我一个字符串开始的地址,我怎么知道它什么时候结束？

哈佛公开课 - 计算机科学课程节选

So, the two most elementary ideas you learn are what is the average velocity of an object, as then ordered by the symbol v-bar.

你们学过的两个最基本的概念是,物体的平均速度,用"v拔"表示

耶鲁公开课 - 基础物理课程节选

The typical vector is called V or A or B something with an arrow on it.

表示矢量时一般在,字母 V,A 或者 B,上面加个箭头

耶鲁公开课 - 基础物理课程节选

But before you even do that, I want to define for you an important concept, which is the velocity at a given time, v .

但在这之前,我要给你们定义一个重要的概念,也就是给定时刻的瞬时速度v

耶鲁公开课 - 基础物理课程节选

Whenever you see a particle moving in a circle, even if it's at a constant speed, it has an acceleration, v square over r directed towards the center.

只要看到质点做圆周运动,即使是匀速圆周运动,也存在一个加速度,大小为 v^2 / r,方向指向圆心

耶鲁公开课 - 基础物理课程节选

If it's going in a circle, you will say from now on, that it, indeed, has an acceleration, even though no one's stepping on the accelerator, of amount v^2 over R.

如果它在一个圆周上运动,你会说从现在起它其实有加速度,即使没有人去踩油门,加速度大小为 v^2 / R

耶鲁公开课 - 基础物理课程节选

du/dV under constant temperature was equal to zero for an ideal gas. And by analogy, we expect the same thing to be true here, because enthalpy and energy have all this analogy going on here. So let's look at an ideal gas.

偏U偏V在恒温下等于零,可以类比，我们希望在这里也一样，因为焓和能量有很强的类比性，让我们看看理想气体,【理想气体】

麻省理工公开课 - 热力学与动力学课程节选