This is what you have, there is no mention of the Earth in these equations.

你就只知道这个,方程中丝毫没有提到地球

耶鲁公开课 - 基础物理课程节选

The basic idea in solving these equations and integrating is you find one answer, so then when you take enough derivatives, the function does what it's supposed to do.

解决这类方程以及积分的基本思想就是,你求出一个解,然后进行多次求导,求导的结果就满足条件

耶鲁公开课 - 基础物理课程节选

And in terms of using these equations in solving problems on the exam, and also using these constants, make sure if you think there might be any chance you're going to get any little part of a problem wrong or do a calculation inaccurately, you need to write out every single step of your thinking as you write out these problems.

而当你在考试过程中用这些公式,来解题时，加上运用这些常数，如果你觉得有可能,在某一小问上出错,或者出现计算错误，请务必把你的思路一步一步地都写出来,当你在答题的时候。

麻省理工公开课 - 化学原理课程节选

I just go through these equations, 3 but be careful to Z equals three.

我只检查这些方程式，但是注意了，Z等于。

麻省理工公开课 - 固态化学导论课程节选

Now, it's also very useful to look at some of the relations that come out of these fundamental equations.

我们接下来可以考察,从这些基本方程中得出的一些方程。

麻省理工公开课 - 热力学与动力学课程节选

He speaks in a language of math and it is very important for students to be able to have hot copies so that they can take notes on the paper rather than be working very hard to copy down the equations that he used in these lectures.

他以数学语言授课,所以发给学生教学材料,是非常重要的,这样就可在纸上做笔记,而不用拼命,抄下他在课上,用到的等式。

麻省理工公开课 - 媒体、教育、市场课程节选

Take these two equations, put an equal sign between them, replace this PR throughout with X, I'm going to have one equation and one unknown and that even the math phobics in the audience did in high school.

在这两个方程中间加个等号,将这里的Pr换成X,就会得到一个等式和一个未知数,剩下的问题,大家高中的时候就该回做了吧

耶鲁公开课 - 博弈论课程节选

You'll notice that there's a little bit of a difference in these equations here from the ones from the other day, which is that you have z squared value in there.

你们会注意到这里的方程,和我们那天的方程,有些小的不一样，这里有z平方。

麻省理工公开课 - 化学原理课程节选

So, essentially when we're talking about these equations up here, all we're doing is talking about the regular Rydberg formulas, but instead we could go back and re-derive the equation for any one electron atom, which would just mean that we put that z squared term in the front.

所以本质上,当我们讨论，这些问题时，我们说的是常规的，Rydberg公式，但对任何其他单电子原子，我们不用,从头再推到，而是仅仅把，z平方项放在前面。

麻省理工公开课 - 化学原理课程节选

Everything I told you last time, you can summarize in these two equations.

上节课上我所讲的所有内容,可以总结为这两个方程

耶鲁公开课 - 基础物理课程节选

Do you realize that this is a pair of simultaneous equations in which you can solve for these two unknowns, if you like, in terms of these two knowns and these coefficients, which are like these numbers, 3, 2, 4, and 6?

你们是否发现这其实就是一个方程组,你可以用它来解出这两个未知量,你愿意的话,可以用这两个已知量,和这些系数,比如这些数字,3,2,4和6

耶鲁公开课 - 基础物理课程节选

You won't have to solve it in this class, you can wait till you get to 18.03 to start solving these types of differential equations, and hopefully, you'll all want the pleasure of actually solving the Schrodinger equation at some point. So, just keep taking chemistry, 18 03 you'll already have had 18.03 by that point and you'll have the opportunity to do that.

你们不用在课堂上就解它，你们可以等到得到18，03之后,再开始解这些类型的微分方程，希望你们都想得到,实际解薛定谔方程的乐趣,所以，保持来上化学课，你们在那个点将会得到,你们有机会做到的。

麻省理工公开课 - 化学原理课程节选