And when we're looking at the probability density graphs, it doesn't make a difference, it's okay, It has no meaning for our actual plot there, because we're squaring it, so it doesn't matter whether it's negative or positive, all that matters is the magnitude.

它的概率密度图的时候,两者没什么区别，这是可以的，它对我们画这个图，没有什么意义,因为我们是取平方，所以它的正负，无所谓，只和幅值有关，但当我们说到。

麻省理工公开课 - 化学原理课程节选

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

All right. The other thing I have to teach you is matter-energy interaction so that we can see how the Balmer series validates the Bohr model.

好的，我要教你们的里一个知识点是,物质能量的相互作用，我们可以见证,巴尔末线系是怎样证实波尔模型的。

麻省理工公开课 - 固态化学导论课程节选

But let's just try maybe one of the basic questions they could ask, and they can say, all right, de Broglie, so you say that all matter, absolutely all matter has wave-like behavior.

让我们试一试他们,可能问到的一个基础问题，他们会说，好的，德布罗意，你说所有的物质，所有物质绝对会有波的特性。

麻省理工公开课 - 化学原理课程节选

So when I do the analysis, I want to think about what am I doing here, am I capturing all the pieces of it? Here, the two variables that matter are what's the length of the list, and how many times I'm going to search it?

这里，要关注的,两个变量是列表,的长度以及我要搜索的次数,这种情况下，这个算法赢了？

麻省理工公开课 - 计算机科学及编程导论课程节选

All right. So that's what the subject matter's going to be, and I'm going to tell you a little bit about how the course is organized.

好了,以上就是我们主要的学习内容,接下来,我稍微讲一点,咱们的课程安排

耶鲁公开课 - 基础物理课程节选

But in fact, as a matter of logic, that doesn't follow at all.

但事实上，在逻辑学上，根本就不是那回事。

耶鲁公开课 - 死亡课程节选

All matter contains within it something like a "potency of life"; that's Milton's phrase. It has a capacity for action, actually a capacity for motion, and, just as books can take on a life of their own in Areopagitica, so all matter for later Milton.

所有物质都更包含一种类似“生命的潜质“的东西;,这是弥尔顿的原话，所有物质都有行动的可能,运动的可能，正如《论出版自由》中书籍可以有自己的,生命一样，晚年的弥尔顿相信一切物质都是这样。

耶鲁公开课 - 弥尔顿课程节选

And what he found is that all the major cell types of the ear develop no matter what types of the ear develop no matter what environment this ball has been transplanted in.

他发现,不论植入的环境如何,所有的主体耳细胞,都发育成型了。

斯坦福公开课 - 7个颠覆你思想的演讲课程节选

Probably never that easy but really, you're just not going to lose, and the truth of the matter is that hoplites beat non-hoplites in all battles that are fought on flat land in battles that the Greeks fight in.

也许不是那么的容易,不过总会胜利的,事实上,在所有希腊人打的平原战中,方阵部队无一例外地击败了非方阵部队

耶鲁公开课 - 古希腊历史简介课程节选

This depiction of matter takes you right up to E=MC E=MC And, that's all he had to work with for data.

物质的叙述，让我们一直等到,的平方，天才。，squared。，Brilliant。,那是他研究数据所得出的成果。

麻省理工公开课 - 固态化学导论课程节选

And there will be a little bit of history in there, but this is mostly modern chemistry and represents the basic properties of matter, and it's basic properties of all matter, including living matter, which was what really interested me, that connection between chemistry and biology.

它们都有一些历史，但都是最现代的化学,代表了物质的最基本的性质，而且是所有物质的最基本性质，包括生物，这个让我很感兴趣，因为它连接着化学和生物学。

麻省理工公开课 - 化学原理课程节选

Now, I wanted to go to through this just to go through one cycle quickly because we're going to be doing these all the time, and the importance of the fact that the path doesn't matter, and you can always connect things together in a way, whatever you want.

我使用这种,利用热力学循环的推导方法的原因在于,今后我们，将经常使用类似的方法,大家要记住路径是无关紧要的，可以随意选取一条路径,来连接两个态。

麻省理工公开课 - 热力学与动力学课程节选

It seems pretty clear that not all parts of the body matter.

很明显不是所有身体部位,都一样重要。

耶鲁公开课 - 死亡课程节选

And the truth of the matter is,when my body dies,that's all history.

而事实是，我肉体死亡时，一切都成过去了。

耶鲁公开课 - 死亡课程节选