• 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

    麻省理工公开课 - 热力学与动力学课程节选

  • So for the reversible process, the work done is the integral under the pressure volume state function, the function of state.

    对可逆过程,做的功,是压强体积态函数曲线下,的积分面积。

    麻省理工公开课 - 热力学与动力学课程节选

  • What's a function, what's a derivative, what's a second derivative, how to take derivatives of elementary functions, how to do elementary integrals.

    什么是函数,什么是导数,什么是二阶导数,如何对初等函数求导,如何进行初等积分

    耶鲁公开课 - 基础物理课程节选

  • Cv So, for Cp and Cv, these are often quantities that are measured as a function of temperature, and one could, in fact, calculate this integral.

    一般Cp和,都是温度的函数,因此实际上,我们可以将这个积分计算出来。

    麻省理工公开课 - 热力学与动力学课程节选

  • In other words, your job is to guess a function whose second derivative is a, and this is called integration, which is the opposite of differentiation, and integration is just guessing.

    换言之,你的任务是要猜出一个二阶导数为a的函数,这就是积分,和微分恰恰相反,积分就是猜

    耶鲁公开课 - 基础物理课程节选

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