I'm going to begin at the bottom of 73: If you have your book, go ahead and open it up.
我将从73页最下面开始读:,如果你带了书,那么就打开书翻到那页。
A good way to do that, if you are not doing research ahead of time,
如果你没有提前做调查,找语言学校的最好的方法,
If these are my payoffs I should go ahead and choose Alpha because that way I end up getting 3.
如果我关心我成绩我应该直接选α,因为那样我能得到3单位效用
And you might have kind of been projecting ahead and thinking if we keep up at this pace, pretty much we would only get to carbon by the end of the semester.
你们可能会有这种推测:,如果我们以这个速度继续下去的话,这个学期,也只能讲到碳原子。
OK. Having done this now, I can simply go ahead and run this, and in fact if I go up here to run, you'll see I've got both an option to check the module, though in this case I'm just going to run it.
好,讲完了这些,我可以去执行程序了,实际上如果我在这里运行,你们会看到我同样得到了,一个可以同时检查模块的选项,虽然在这个例子中我就是直接去运行程序了。
If you think of the idea, you think of the basic logic, and then you go ahead and drag and drop accordingly.
如果你有这个想法,然后你考虑下基本的逻辑,你就能做相应的拖动或下降。
Then if there's anything that can't get resolved that way then go ahead and contact me.
如果找不到解决的办法,那么就来联系我
Can't my mind take off from there and push straight ahead to the idea of the perfectly straight, even if I never have encountered it before?
即使我之前没有直接碰到过,难道我的心灵不能借此来推断出,完美的直线是什么样子的吗
And the plot thickens if you look ahead to Section 140.
而继续看到第140节时,情况就更复杂了。
But, I think there will be great opportunities ahead for you and the ability for Wall Street to again securitize and buy a lot of these companies If you have capital, you'll be able to buy these bonds.
但是,我认为在你们未来的道路上将会有很多的机会,华尔街也将会有能力再次保障,或购买很多这样的公司的,如果你有资金的话,你就可以买这些债券。
If we're not having too much luck with our slides this morning, I went ahead and put this one up on the board here.
由于我们今早,没运气放幻灯片,我就把把它写在黑板上了
So, let's go ahead and make sure we can draw that, if we have interest either in the area of organic chemistry or biochemistry or biology here.
那么,让我们来确认一下我们已经学会怎么画了,如果我们对有机化学,生物化学或者生物学中的任何一个领域感兴趣的话。
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。
So I could communicate with Alice on agreements, but back home I'm going to go ahead and choose Alpha anyway; all the better if she's choosing Beta.
所以我可以和爱丽丝说好了,但回家之后我还是可以选α的,要是她还选β那就更好了
This thing, if you now go ahead and very gently corrupt a few of the bytes, you can see that you can push down on that thing pretty easily.
如果我们很小心的,损坏了若干字节,你将会发现很容易把这个东西推下去。
And if we go ahead and square that, then what we get is a probability density, and specifically it's the probability of finding an electron in a certain small defined volume away from the nucleus.
我们得到的是,一个概率密度,它是,在核子周围,某个很小的,特定区域,找到电子的概率,所以它是概率密度。
- So in fact, if you want a super long number -- -- let me go ahead and reopen this program -- long you could declare long.
所以事实上,如果你需要一个超级长的数字-,让我们继续重新讨论这个问题-,你可以声明。
So, you can go ahead and calculate that, if you can't see that right away.
如果你们不能,马上想到你们可以算算。
For instance, let me go ahead and open up masquerade, and I'll need Barry to help here, if you don't mind. Let me hit play.
比方,让我上前揭开面具,如果你不介意的话我需要Barry帮下忙,我玩下。
You can go ahead and use that equation, or you could figure it out every time, because if you know the total number of nodes, and you know the angular node number, then you know how many nodes you're going to have left.
你们可以直接用这个方程,或者每次都自己算出来,因为如果你们知道了总的节点数,又知道角向节点数,就知道剩下的节点数是多少。
If I now say, I'm going to go ahead and change the radius of this, something, my polar form did it right, but what happened to the Cartesian form?
如果我现在说,我要去改变这里的半径,一些这样的操作,我的极坐标形式,进行了正确的改动?
So if we actually go ahead and multiply it by the volume of our shell, then we end up just with probability, which is kind of a nicer term to be thinking about here.
乘以壳层的体积,我们就得到了概率,在这里从这个角度,理解问题更好一些,如果我们考虑的是。
Go ahead, you can come back if you want.
如果你愿意,可以继续说下去。
In fact, peeking ahead of course, and this's why we're often drawn to soul views even if my body dies as long as my soul continues to exist I continue to exist.
事实上,看看之后的课程,我们相信灵魂是由于,即使我的肉体死亡,只要我的灵魂继续存在,我就存在。
And in fact, if we just go ahead and run this now, hopefully we get out-- oops, sorry, I'm going to have to change this quickly, I still have some things uncommented at the bottom, yeah, there they are, I don't think we need that yet, all right, we will comment those out.
如果我们现在去运行程序的话,希望我们会得到-噢,抱歉,我得去马上,改下代码,还有一些在底部的东西没被注释掉,对,就在这儿了,我不认为我们需要,这些东西了,好,我们把它们注释掉,好,那么我为什么要讲这些呢?
So if we go ahead and name this bond, what we're going to name it is sigma, - because that's the -- basically the shape of the bond or that's how our bond is coming together.
所以如果我们继续并且命名这一键,就是我们要命名的这个键,因为这是-,基本上键的形状,或者这就是键是怎么到一起的。
So if we go ahead and hybridize our p orbitals and our s orbitals, we'll switch from having these original orbitals to having something called hybrid orbitals.
如果我们,杂化p轨道和s轨道,我们会从原来的轨道,变成一个叫杂化轨道的东西。
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