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"In the past,I was so accustomed to teaching math the traditional way and now with the way it's introduced, I can see it."
VOA: standard.2010.08.10
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And I won't go through it, but what you can see is it's more or less, it is in fact, exponential.
我不想全讲一遍,但是你们可以看到。
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And so I think it's really interesting to see how the mind can contain so much.
所以我想，能看到大脑能容纳这么多东西真是件有趣的事情。
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"And I can get the children to see it better."
VOA: standard.2010.08.10
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So I mean if you want, you can fill in the next whatever it is the next 6 positions and see.
如果你愿意的话,你可以依次检验,剩下的6个立场,结论是一样的
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And then, when I got- I'm also going to count how many comparisons I do, just so I can see how much work I do here, and then notice what it does.
并能看到算法干了些什么-,然后是如果这个索引,比数组的大小小的话，就意味着还没检索到数组的最后。
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So, I know this is a simple example and I can see everyone pretty much got it right, and probably those that didn't actually made some sort of clicker error is my guess.
分别是质子和电子,我知道这是个很简单的问题，你们大部分人都做对了,我猜那些没做对的大概是因为点错了。
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Even though I'm here in the lecture hall, I can see into the hallway and tell you what's going on in it.
就算我现在在教室里,我仍然能看到走廊,并告诉你发生了什么
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We will probably doing it on a big piece of drawn paper so you can see it and I will have him script the words.
我们将在一张大的绘图纸上,写下这些内容以便你们看得更清,并让他把内容整合一下。
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I'm transferring this to the portfolio management problem and you can see it's the same idea.
如果将保险转化为投资组合管理的问题,你会发现原理是一样的。
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So, with these questions in mind, I want you think about how we can see the novel and how we can think about it in the face of the interpretation that's already layered on to it.
所以，带着这些问题，我想让你们想一下,在已经有解释的情况下,我们应该如何去看,如何去思考这部小说？
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Here's the difference between normal hemoglobin and sickle hemoglobin, I can make - I can see a chemical difference, I can exploit it, how can I find it?
正常血红蛋白和镰状红细胞贫血的,血红蛋白有不同之处,我能够--我能看出有化学差异,我能去探寻差异,那么我怎么找到它呢
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Okay. So that's the basic distinction and, as I say, as far as I can see it's irreconcilable so it leaves us with a choice that really does have to be made, and it's a choice which looms over a course in literary theory and coming to understand the tradition of literary theory.
这就是二者基本的不同之处，我以前说过，只要二者不能兼容,我们就不得不从中选择一个，这个选择将会一直出现在文学理论课,和理解文学理论传统的过程中。
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And see what I can find out about it.
然后看看关于它，我能找到些什么信息。
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I want to abstract that. And the abstraction you see, right here. I'm going to highlight it for a second so you can see it. I want you to look at it on the handout as well.
我需要进行抽象,这个抽象就在这儿,我把它强调给你们看看,我希望你也能看看讲义里的这部分内容。
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And I know it's kind of, you can see it on your handout, it has the rest of the pieces over here.
我可能会去求它们的长度，我知道这有点儿，你们可以在课堂手册上看看。
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And I'm going to run it in a sec, but you can see, the same kind of idea.
我马上要去运行它，但是你们会明白，思想是一样的。
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I can't see any good reason to believe premise two, and as far as I can see, Plato doesn't actually give us any reason to believe it in the dialogue.
我找不到什么很好的原因来相信前提二,在我看来,柏拉图在对话录中,也没有给出任何令人信服的理由
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I'm not going to expand on this because I can't get into-- This is not a course in probability theory but I'm hopeful that you can see the formula and you can apply it.
我不准备拓展这一部分,毕竟这节课不是概率论,但我希望你们能记住这个公式,并且学会应用
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OK, and if I wanted to look at it, we can come back over here, and we can see what does c p 1 look like, interesting.
现在对于这里的每个实例，我都赋了x和y值，好，那么如果我想要研究下它,我们可以回到这里来。
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OK? So you can see that, it's just walking through it, and in fact if I look at a couple of another-- another couple of examples, it's been a long day, again, you can see that property.
恩，其实你能看到,他就是遍历列表，你要有空的话,可以再看很多很多其他的例子,你能够看到这个属性。
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PROFESSOR: And I didn't write up there but it is one, 1 and we can see that it's 1, 2 because it's 1/2 of 2, 4 minus 2, so 1/2 of 2, the bonding order is going to be equal to one.
教授：我没有写出来，但是是1，我们可以看到为什么是，因为它等于1/2的2，4减去，所以1/2的2，键序等于1。
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Yes, I can. Now, can you now-- you're the most disadvantaged person and you can see it, right?
看来能移,现在看得见了吗,你的位置最不好了,但你也能看见吧
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Here it goes in the middle, and if you look carefully there, I didn't really make it clear enough, you can see, suddenly a strategy that looked crazy shooting to the middle, that suddenly started to seem okay.
这是中路射门的情况,如果你仔细看,我可能画的不是很清楚,你会发现曾经卖傻似的中路射门法,现在竟然一下子变成香饽饽了
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And see if I can't get it to show up.
然后看bug会不会重现。
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See if we can find it here. And notice, by the way, that I commented out the previous debugging line, rather than got rid of it.
我们再去从它们的中间开始尝试，看看我们能不能发现问题源,顺便说一下，请注意。
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Now, this is not the nicest way to do it but it'll work. I can look at the type of the value of base and compare it to the type of an actual float and see, are they the same?
这不是最好的办法但它确实有用,我可以得到底的值的类型然后,和一个真的浮点数的类型比比,看他们是不是一样？
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It says, well I'm going to print out first and last just so you can see it, and then I say, gee 2 if last minus first is less than 2, that is, if there's no more than two elements left in the list, then I can just check those two elements and return the answer.
然后它计算了尾点和开始点的差,如果小于2的话,也就是说数组中的元素小于等于，我对这两个元素进行比较,然后返回结果就可以了，否则的话，我们就去寻找中值点，注意它是怎么实现的,首先这个指向一个列表的开头。
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Yeah, if my machine will come back up, there we go. So, I'm going to now go ahead and write a little piece of code, and I put it here and I hope you can actually see these better this time, let me uncomment that region.
让我们写出代码来吧，好，如果我的电脑能回来的话,好了，那么，我要去写一小块代码,我把它放在这里以期望大家这次,能看的更清楚点。
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Meaning, I'm just going to write a little loop that does that. All right, so let's go back to our code. That's right, let me pull this over a little bit, so I can see it. And what I'd like you to look at, I'm going to highlight it just for a second here, is those two pieces of code.
意思就是我只需,写一个小循环就可以了,让我们回到代码,让我们向下拉一点,我才看得见,我希望你看看这里。
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