OK, now, we're going to look at the internal energy, and we're going to pretend that it is explicitly a function of temperature and volume.

好，我们接下来看看内能，我们假设,它是温度和体积的函数。

麻省理工公开课 - 热力学与动力学课程节选

But it's allowed to say the internal energy is a function of temperature and volume.

但是我们也可以说内能,是温度和体积的函数。

麻省理工公开课 - 热力学与动力学课程节选

We have discovered that this partial derivative that appears in the definition, the abstract definition of the differential for internal energy, is just equal to the constant volume heat capacity.

我们还发现,这个偏微分出现在了，内能的偏微分,定义式中，它也就是热容。

麻省理工公开课 - 热力学与动力学课程节选

The value of the internal energy is only determined by temperature.

内能的值,只与温度有关。

麻省理工公开课 - 热力学与动力学课程节选

And the first law says, well heat and work are different forms of energy, and we can add them, and the path dependence of these two things is somehow cancelled in the fact that we have this internal energy.

热力学第一定律说，热和功是能量的不同表现形式，我们可以把它们加起来,它们与路径相关的部分相互抵消,我们就有了内能。

麻省理工公开课 - 热力学与动力学课程节选

We'll then look at the quantity, internal energy, which we define through the first law, and we think of it as a function of two variables T and V.

接下来我们考虑内能，这是由热力学第一定律定义的物理量，我们把它看作T和V的函数。

麻省理工公开课 - 热力学与动力学课程节选