Let's go back to considering the wavelengths of different objects. We considered a baseball, but let's also think about now an electron.
我们来重新考虑不同物体的波长,我们刚才考虑了棒球,现在来考虑一下电子。
we also like to think of ourselves as a bit outside of the European Union.
我们还是比较喜欢把自己当作欧盟外的国家。
I think the more entry ways that we can create between the two sides, on this conflict, but also on many conflicts.
我认为有更多的入口,创造这种入口沟通两个世界,不仅是这次冲突,还有很多其他冲突。
But we can also think when we're talking about wave function squared, what we're really talking about is the probability density, right, the probability in some volume.
波函数平方,的时候,我们说的,是概率密度,对吧,是在某些体积内的概率,但我们有办法。
Paideia The Greek word paideia, which is right there on your handout, means education, but it also means more than simply rote learning or memorization or learning to read, like we think.
希腊词,讲义上有,意思是教育,但不仅如此,它不仅仅指我们想的那种,死记硬背式的教育。
Also, creativity-- we think broadly-- we are able to make connections, see connections we haven't seen before, perhaps.
还有创造力,我们的眼界更宽-,能产生更多联系,看到以前没有看到的联系。
It's happened over the course of millions of years of human evolution, but it's happened also in a relatively recent time frame when we think about the American diet and what people are eating, but also the world diet of course.
它们发生在人类数百万年的演化历程中,在近现代,当我们考虑美国人的食谱,当然也包括全世界的食谱,同样在发生着这些变革
But we also saw it's a dangerous idea to take too literally: that sometimes this can get you to over think the problem and actually, as in that numbers game last time, the best choice, the winning choice, might not involve so many rounds.
同时我们也发现过度照本宣科也不好,有时他会导致你,对于问题的过度探究,正如我们上次玩的数字游戏,最优选择,最后获胜的答案,有时不会绕那么多弯子
We would be told that he was very honest and told his father he chopped down a cherry tree, which would be baloney, but we would be told that too. But I think we would be told also very many true things, which came down to us.
我们还被告知他很诚实,因为他告诉父亲,他砍倒了一棵樱桃树,这简直是胡扯,但我们还是会听到这些,除此之外,我们还会听到一些真实的历史事件
I think it's the most important theoretical concept that underlies finance and insurance, which we'll also talk about a little bit in this course.
我认为,这是构成金融学和保险学,最重要的理论核心概念,而这些我们在以后的课程中,还会再提到
So the direction that music goes can also affect how we feel about it, our mood about it, so I think the next question-- I play another piece for you.
所以乐曲的走向,同样可以影响我们对它的感受,影响我们的情绪,因此我觉得下一个问题,我为你们弹奏另外一曲
That's a limiting case, but for the most part language that we use is not like that and therefore, what we think of is that literary should in principle also be able to show itself in something that is visual.
那是个很局限性的案例,但是总的来说,我们使用的语言,并不是那样,因此,我们所认为的文学的东西,原则上也应当能展示,一些视觉上的东西。
I think also what we're trying to build was not just this for America's sake, but I do think that we have the potential of offering an example, of how to do this well.
我还认为我们正在努力建造的,不只是为了美国,我真的认为我们有潜力,做好这件事,树立榜样。
And at the same time,we also need to cultivate the positive, to think more of the zero to the positive side of the equation as well.
同时,我们还需要培养积极性,探究如何让我们从零点升到正直,该如何做。
We can also think about this in terms of z effective.
我们同样可以。
We could also, I think, well, maybe this isn't written out in terms of that convention, which sometimes it's not, so let's also try writing it, such that we have the hydrogen and the oxygen atom there.
我们也可以,我想,好吧,还有可能它不是按照惯例写的,有时候会出现这样的情况,因此,让我们把氢原子和,氧原子成键的情况也写出来。
These are all isoelectronic, they all have the same electron configuration. And we can also think about going back to atomic size for a second.
这些都是等电子的,它们都有相同的电子排布,而,我们还可以再回想一下原子尺寸的概念。
So I was a counselor for a year, and then they invited me to become a dean, an assistant dean, in order to not only work with individual students and their issues, but to also think about campus culture and ways we might help prepare the culture for the change that was taking place.
这样我做了一年的顾问,之后他们请我做了院长,副院长,这样就不仅仅是处理,一个个学生和他们的事情,还要思考校园的文化,思考如何帮助校园文化准备好,应对将要发生的改变。
But we also know there needs to be space for other conversations. In fact I think many of the conversations are that they have started on the community action trip that they might take as they enter freshman year or the outdoor action trip or other informal ways of making connections.
但是,我们也知道,他们也需要,进行其他对话的空间,实际上,我认为这些对话发生在很多活动中,比如说,学生们在大一时可能参加的,一些社区活动,或者是一些课外旅行,或者是其他一些娱乐交流活动。
We can also think about the distance, the bond distance. So, which would you say is going to be shorter in this case?
我们还可以考虑一下距离,键的距离那么,大家认为其中哪一个键会更短一些?
So, you would say, well, that's another place where Homer got it right, except for the fact that we also know how chariots are used in warfare and the closest analogy, I think, is to think of chariots as tanks.
你们可能会说,好吧,荷马又说对了,除非我们也懂得如何在战争中使用战车,我认为最相近的类比是把战车比作坦克
So, we can say that -- if we have neon here and we want to think about what's isoelectronic, -- f minus would be isoelectronic. We also have oxygen -- what would the charge on oxygen be? Um-hmm, right. 2 minus.
那么,我们可以说--如果我们这里有氖原子,而我们想知道与它等电子的是什么,负一价的氟离子就是与它等电子的,我们还有氧-,氧应该是几价的?没错,负二价。
Alright. So, since we have these terms defined, we know the frequency and the wavelength, it turns out we can also think about the speed of the wave, and specifically of a light wave, and speed and is just equal to the distance that's traveled divided by the time the elapsed.
好了,我们已经定义了,这些术语,我们知道了,频率和波长,现在可以来考虑,波的速度了,特别是光波的速度,速度等于它走过的距离,除以所用的时间,因为我们。
So, for example, it's not just the 2 p that we could actually take an electron from, we could also think about ejecting an electron from the 2 s orbital.
比如,我们不只可以从,2,p,轨道上,打出一个电子,还能考虑从,2,s,轨道上,发射出一个电子。
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