And, I will go through the actual line by line derivation not because I want to do derivations in class.

我们要仔细讨论实际的线,和推导出来的线,并不是我想在这节课做推导。

麻省理工公开课 - 固态化学导论课程节选

So I could have written right here immediately CvdT equals Cv dT, and that was the end of my derivation.

于是我在这里就可以直接写,来它等于，完成了整个推导。

麻省理工公开课 - 热力学与动力学课程节选

I will only do them on one condition, and that is I want to be able to teach you what the assumptions are that underlie the points in the derivation.

只在一个情况下我才会做，那就是要能够教会你们,假设是,构成了推导的基础。

麻省理工公开课 - 固态化学导论课程节选

This is so obvious in this problem, but when you see more complicated formula, you may not know all the assumptions that went into the derivation and quite often you will be using it when you shouldn't.

在这道题中这些都很明显,但是当我们用更复杂的公式时,你可能搞不清楚所有,在推导时的前提,因此很多时候,你都会用错公式

耶鲁公开课 - 基础物理课程节选

Now if you look at my derivation here, there's one spot where I could have just stopped and proven my point without going through the whole thing.

如果仔细检查我的推导过程，你会发现其实,我们不用研究整个循环过程,就可以证明我们要证的公式。

麻省理工公开课 - 热力学与动力学课程节选

It is a really cool derivation.

这是真实的冷驱动。

麻省理工公开课 - 固态化学导论课程节选

So, what we're going to do is we're going to go through the derivation of that next day.

我们将要做的是,我们将要做的是,去推演第二天。

麻省理工公开课 - 固态化学导论课程节选

We can make some substitutions here using some of the derivation on the previous board which will give us the Planck constant divided by 2 pi mass of the electron times the Bohr radius.

在这里我们也可以,用我以前在黑板上写过的一些词来取代它,得到的是普朗克常数除以2π电子质量,再乘以波尔半径。

麻省理工公开课 - 固态化学导论课程节选

I will try to finish every lecture on time, but sometimes if I'm in the middle of a sentence or the middle of a derivation, I may have to go over by a couple of minutes; there's no need to shuffle your feet and move stuff around.

我会尽量准时下课的,但是有时候如果我正在讲解一个概念,或者正在推导一个公式,我会稍微多讲几分钟,你们不用来回蹭脚,收拾东西什么的

耶鲁公开课 - 基础物理课程节选