And all this is, is saying that when you take a mixed second derivative, it doesn't matter in which order you take the two derivatives.

麦克斯韦关系的本质是,当你考虑混合的二阶导数时，求导的顺序不影响最后的结果,现在，我们利用这些关系。

麻省理工公开课 - 热力学与动力学课程节选

Well, the things we'll talk about are philosophical questions that arise as we begin to think about the nature of death.

我们要讨论的是,在我们思考死亡本质时产生的哲学问题。

耶鲁公开课 - 死亡课程节选

This should make sense because if something has a low ionization energy, that means it's not very electronegative, which means it's going to be a lot happier giving up electron density, which is essentially what you're doing -- when you're forming covalent bonds is you're sharing some of your electron density.

这应该是合理的,因为如果某物的电离能很低，这也就意味着它的电负性也不高，那么它就会更愿意,放弃一定的电子密度，而本质上这正是你在,形成共价键时所需要做的,分享你的一些电子密度。

麻省理工公开课 - 化学原理课程节选

He had a diagram, which illustrated what is the ultimate cause of interest, and it helps us to think about this diagram whenever we try to understand the term structure.

费雪教授用一张图,来解释决定利息的本质因素,每当我们试图理解期限结构时,就会用到这张图

耶鲁公开课 - 金融市场课程节选

Hobbes refers to the sovereign as a mortal god, as his answer to the problems of the state of nature, the state, the condition of life being solitary, poor, nasty, brutish and short.

君主就是生在凡间的神，霍布斯在回答,什么是国家的本质时这样比喻到，他的国家，他的生命都总是孤独，穷苦，下流，野蛮和短暂的。

耶鲁公开课 - 政治哲学导论课程节选

Now, in thinking about this question, this is-- you might think of the topic as the nature of wellbeing.

思考这个问题时-,你们会可能想到幸福的本质话题。

耶鲁公开课 - 死亡课程节选

At least not if we try to take these claims fairly literally or take them to be metaphysical claims about the nature of death.

至少在我们从字面意义上,或从形而上学上解释死亡的本质时看不到。

耶鲁公开课 - 死亡课程节选

It could be that in thinking about the nature of the combination we're led to see that in certain ways the combination-- the interaction effects--are negative, are bad ones.

可能在考虑这种组合的本质时,我们看到了再某些方面这种组合-,相互影响，是负面的，是不好的。

耶鲁公开课 - 死亡课程节选

Let me start out by putting what I think is a relatively controversial proposition on the table and that's that this investment management business, when stripped down to its bare essentials, is really quite simple.

让我从一个,相对争议的话题开始,投资管理业务,当剥离种种表象追溯到其本质时,其实非常简单

耶鲁公开课 - 金融市场课程节选

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

There's not two bonds, that's one pi bond, and the reason is because it's 2 p orbitals coming together, and remember p orbitals have electron density above and below the axis, so when they come together, it kind of looks like one bonds, but essentially what we have here is one pi bond.

这不是两个键，这是一个π键，因为这是两个2p轨道组合而成的，记住p轨道在键轴之上,和键轴之下都有电子密度，当它们靠近时，这看着很像两个键，但本质上它是一个π键。

麻省理工公开课 - 化学原理课程节选

When we talk about anti-bonding, 1sb essentially we're taking 1 s a and now we're subtracting 1 s b, sigma1s and what we end up with again is sigma 1 s, and the important thing to remember is to write this star here.

当我们讨论反键时，本质上我们是用1sa减去，最后我们得到，记住这里有个星。

麻省理工公开课 - 化学原理课程节选