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We've used the fundamental equations that are hiding down here, out of sight but never out of mind.
我们利用了,写在这里的基本方程，虽然没有注意它但却时时刻刻记者它。
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Huh, all right. Well, there's some Indians here, but I guess we could set up camp, hang out.
哈，好吧，这儿有一些印第安人，但我想我们可以扎营，到处看看。
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Up on the screen, I've got-- I commented it out, but I've got a piece of code that you've seen before, right up here. OK?
我现在在大屏幕上标出来的,是你们以前看过的一段代码,就在这儿？
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You always want to check your signs at the and because it's so easy to get the sign wrong, and I was hoping that it was right here because I wasn't sure, but it turned out to be right.
我们完成计算时，一定要记得检查符号,因为很容易弄错符号，刚才我就不太确定,是否弄错了符号，检查发现没有问题。
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So you feel that you know pretty well how things behave, but then, all of a sudden, there's something way out here.
然后你觉得对市场行为了解的差不多了,但是突如其来,有些东西在这里出现了
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And again, I've written for you, but you can figure out what the electron configuration is just by writing up in this order here.
同样，我已经写出来了，但你们可以把这个写出来,就知道电子轨道构型是什么。
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But then--and here is where I want you to look at the passages that I've handed out.
但是，这里,我需要大家看一下我发给大家的文章。
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So did anyone choose strategies bigger than 67? Okay, I'm not going to read out names here, but turns out four of you did.
但还是有人选择大于67的数,对吗,我不会把他们的名字念出来,事实上你们当中有四名同学这么选的
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But the difficulty is, if you take your left flank and move it out here so you can flank this guy, one of two things has to happen to your army.
但困难的是,如果你把左翼移到这里,你可以进攻敌人的侧翼,你的军队会面对下面两种情况
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It may be obvious to you, the developer or the computer scientist or the engineer, well, obviously, I just click, here, here, here, here, here, here and voila, out comes my ticket, but most people don't have an interest in that process and a lot of people, this person in particular, just don't necessarily understand that process.
这对于开发人员，或者计算机专家或者工程师,可能是显而易见的，呃，显然地，我只要点击这里，这里，这里，这里，这里，瞧，我的票出来了，但是大多数人没有兴致,来做这些步骤，很多的人，特别是这个人，不见得懂得这些步骤。
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But as many of you know, and certainly you will find out here, they had pretty clear ideas of who ought to have those individual liberties and who would not, who indeed were born equal and who were not.
但是正如你们许多人知道的,当然你们在这里也会发现,他们非常清楚,谁该拥有这种个人自由,而谁不该,哪些人天生就是平等的,而哪些人不是
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Okay. Now this gentleman out here is actually doing it different from what I am doing and what most of you are doing but you know what? He's doing it correctly.
这位先生,和我做的不太一样,甚至和在座各位做的不太一样,但你知道吗,他做的是对的
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But yeah, most of the time I'm just working out with pull-ups and whatever else there is here.
不过大部分时候我就是做做引体向上还有这里的随便什么。
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But in California, I don't know like, especially with film schools out here and in New York,
但在加州，特别是这里和纽约的电影学院，
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But if it is not, it's going to print out a message here saying, you screwed up, somewhat politely, and it's going to go back around. So it'll just cycle until I get something of the right type.
但是输入不是浮点数的话,我这里就会显示一个消息说，你搞砸了，该稍微有点礼貌吧？,然后我们继续执行循环,一直到得到正确类型的输入。
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STUDENT: PROFESSOR: Yeah. There's a branch we could finish here, but since we're out of weight we sort of know we're going to be done.
学生：【听不见】,教授：是的，我们可以在,这个分支结束，但是因为我们重量超标了,我们知道我们只能结束。
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That would put you out here; you would have very much more return, but you'd have more risk.
那就会落在这个点上;,你可能有非常高的回报，但你的风险也增加了。
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But just to point out the confusion can be we've actually switched what the question is here.
他们有这些幻灯片的拷贝,这里要指出容易混淆的地方是。
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We know we need to divide by 266, 266 but what we need you to help us with is to figure out this top number here and see how many particles are going to backscatter. So if the TAs can come up and quickly hand out 1 particle to everyone.
知道背散射的概率就可以了，我们知道要除以,但还需要你们来搞清楚,分子上的数是多少，有多少个发生背散射的粒子,助教们请过来,把这些球分给同学们。
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In principle, we could play this with the whole class, but let's single out a particular row of the class so I'm going to come down here and I guess eventually, well I'll grab it in a minute.
理论上,我们可以全班一起做这个博弈,但我要选出特定的一行,我先走下来,我觉得,我很快就能挑到人
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We'll get to discussing that, but what I want to point out here again is the fact that instead of just being dependent on n, the energy level is dependent on both n and l.
我们将要讨论它，但是我想指出的是事实上能级不只是与n有关,而是与n和l都有关系，而且n不再是。
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And I know there's a lot to talk about this competition, but let's just get into listening mode here and talk about how we can figure out what the correct electron configuration is for this ion.
我知道刚才关于这次比赛大家有很多话要聊，但是请大家先转换到听讲的模式,来看看如何才能弄清楚,这个离子正确的电子排布。
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So, here's just one more case where Yale helped to straighten out the but you notice it wasn't done by a Yale faculty member, we engage in confusing the world, but our alumni do a much better job and that's what happened here.
因此 这只是耶鲁帮助人们,正确看待世界的又一个实例罢了,但要注意,这并不是耶鲁的教员做的,我们仍然在一个困扰的世界奔波,但我们的毕业生们做得更好,就是这样
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And when we look at this, it's actually split by what's called a nodal plane, which is pointed out in light orange here on this picture, but what we just mean is that there is this whole plane that separates the two lobes where there is absolutely no electron density.
我们来看这里，实际上它被一个节面分开，在这图里用淡黄色表示，这意味着这个分开,两个叶瓣的平面上,是完全没有电子密度的。
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But actually there is a little bit of an energy cost into doubling up into a single orbital, because, of course, it takes energy when you create more electron repulsion, that's not something we want to do, but we have to do it here, and it turns out that that effect predominates over, again, the energy that we gain by increasing the atomic number by one.
但实际上，在一个轨道上放两个电子,确实会亏损一点能量，因为，当你加入更多电子，引起更大的排斥能,这显然会消耗能量，这不是我们想要做的，但是在这种情况下我们不得不做，结果这一影响，超过了增加一个,原子序数所得到的能量。
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Keep in mind we do have this p orbital here and it's coming right out at us. And this p orbital is here, but it's empty, it doesn't have any electrons in it, that's why we don't have to worry about it in terms of getting our electrons as far away from each other as possible.
他们程120度角互相远离,这样它们离得最远，记住我们这里确实有个p轨道，它朝向我们，这里有个p轨道，但它是空的,里面没有电子,这就是为什么我们在考虑。
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