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。
So I think there's a lot green out in the trees now.
所以我想现在树上要长出很多新绿来了。
Let me cluster them because really what I have, sorry, separate them out. I've gone from one problem size eight down to eight problems of size one.
让我把它们聚集起来,因为已经得到我想要的,抱歉,把它们分开来,现在我从一个长度为8的问题,得到了八个长度为1的问题。
Okay, so now more interestingly, we leave a little gap here, what if the other guy is pricing above costs?
现在更有趣的来了,我们这边留一点空白,如果对手的定价比成本高呢
So, this means we have the general trends down, so we should be able to look at actual atoms in our periodic table and graph them and see that they match up with our trends.
那么,这表示我们已经知道了大体的规律,现在我们可以来看看周期表中的,原子的实际情况,并把它们画出来,看看是否与我们的规律相符。
All right, let's take the example of, the extreme example, let's go to the extreme example where p external is really small.
好了,现在我们来,看一个,极限情况,当外界压强非常小。
So you have this firmament, ; Which is beaten back to hold back primeval waters that are pressing in; you have land which is holding down the waters here.
现在有了苍穹,它被锤平来阻挡汹涌而至的水流;,也有阻挡下面水流的土地。
And now we repeat the experiment, only this time we come with an electron beam.
现在来重复一下实验,仅在这次我们得到了电子束。
I don't have time here to discuss this section right now, but you've already had some encounter with the incredibly impressive level of ingenuity and grotesquery in this remarkable passage.
现在我们没有时间来讨论这一部分了,但你们已经领略到了这一段中,给人深刻印象的,独创性和其中的怪诞。
He sent me this because he interviewed me for this series of films and sent me some clips, so I'd like to share this one in particular with you.
他就这系列影片的一些问题采访过我,因此给了我其中的某些片段,现在我和你们来分享下这段视频
Now one other thing that Hirsch says, the other thing that I quoted, is in effect ] -I'll paraphrase now-- that what Gadamer omits to realize is that there is a difference between the meaning of a text and the significance of a text.
赫施说的另外一点,即我引用的另一点,现在起作用了,我现在开始来释意-,葛达玛没有发现的是,文章的含义和文章的意义之间的差别。
So you pick a better material like iron and steel, that makes a better bridge, we know that now because we have experience with bridges, but still your bridge might fail.
你选择了钢铁作为材料,来造了一座更好的桥,我们现在能够明晰这一点,是因为在造桥这件事上我们现在很有经验,但即使是我们现在造的桥也仍然会倒塌
All right. Now an insertion, sort of discursus.
好了,现在咱们来个小讨论
Now, mind you, I haven't said anything today to convince you of the truth of compatibilism, nor am I going to try to do that.
现在,注意了,今天我没说过任何,来说服你们相信相容主义的话,我也不打算那样做
Now, I want to draw-- what if we write 10,000 policies?
现在我来画...,如果签了10000份保单会怎样
All right. So now that we have a general idea of what we're talking about with shielding, we can now go back and think about why it is that the orbitals are ordered in the order that they are.
现在我们对于谈论的屏蔽,有一个整体观点了,我们现在可以回过头来考虑,为什么轨道是按照,那种规则排列的。
All right. So now, we've got it I've got the code up for you.
好,现在我们已经明白这一方法了,现在让我们来看看代码。
So, we now have this new way of thinking about how a nucleus and an electron can hang together, and this is quantum mechanics, and we can use this to come up with a new way to describe our atom and the behavior of atoms.
我们现在有了这种全新的,方法来研究电子和核子是,如何在一起的,这就是,量子力学,通过它我们,可以用一种全新的方式。
In terms of the Schrodinger equation, we now can write it in terms of our polar coordinates here.
在薛定谔方程中,我们现在可以用,极坐标的方式来表示了。
And if I go ahead and run this -- now it's going to say woops, at me.
如果我继续来运行它-,现在发生了什么?我在这里尝试。
If you have, if you know you have a conflict with one of those quiz dates now John please see John or I right away.
如果你有事,如果你现在就知道,你有事和这两天冲突了,请马上来见我和。
So basically, at the time he was just going on size and then traits, but what we actually know today is that we can also order things in the periodic table by electron configuration.
基本上,在当时他只能通过大小,和特性来进行,但是现在我们已经知道了,我们还可以通过电子排布来对它们进行排序。
So, now we can talk about it in different terms, Ei for example, talking about e sub i, which is the incident energy or the energy of the light that comes in, or talking about work function here, and that's just another way to say threshold energy.
现在我们可以从不同的方面,来谈论它了,举例来说,它是入射能量或者进来的光的能量,或者谈论这里的功函数,它是另一种描述临界能量的方式。
Now we've figured that out, we figured out who the winner is, and I know that all of you have been trying to see if you won, I'm going to leave you in suspense.
现在我们来已经知道谁是赢家了,我知道你们都想知道自己是不是赢家,我留下个悬念
Instead I'm going to torture you with yet one more simulation.
我现在想用另一个仿真程序,来折磨你们了。
Now you might wonder, why do we have dictionaries?
现在你们可能会有疑惑了,我们用字典来干什么呢?
All right, we're-- well actually, I should say that better, we first check to see, is x 0 greater than or equal to zero, if it's not, then we come down here and we print something out, otherwise we run through a little loop to get the answer, and then we check it and we spit something out.
然后我们运行一个小循环,好了,我们现在来看看,如果x≥0或者x<,我们看这儿,我们会输出一些内容,或者我们运行一个小循环来获取答案,然后我们检验一下,然后得到结果。
Now we've set it up as a matrix, let's try again that question I asked before.
现在我们就把这个矩阵写好了,我们现在来回答之前的问题
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。
All right, so let's talk about major and minor now.
好了,现在我们来讨论一下小调和大调
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