Maybe I should make a bigger-- let me do it here, I can fit it in here I think.
也许我该弄个更大的...,要不我画在这儿吧
Now let me do it a second time to show you that -- I'm saying this poorly.
还不至于如此呢,现在让我再做一次给你们看。
It doesn't really-- well, let me just say what the polis claims to do here in Homer.
这并不算...,我还是说说在荷马时代,城邦是如何阐明法律的
- And we could never do this-- and one could never do this experiment today but let me go through it with you and you'll apologize for its--some of its qualities.
我们不能再-,这种实验,如今再不能做了,我给你们从头至尾讲一下,因为实验中性别歧视的原因,我再次道歉。
We'll come back and discuss it more in a second, but before I do, let me mention that the same model, exactly the same idea, has an application in Economics.
我们一会再深入导论这个问题,在此之前,我再来列举一个模型,是经济学里面一个完全类似的模型
I have yet to show you the solution to a wave function for the hydrogen atom, so let me do that here, and then we'll build back up to probability densities, and it turns out that if we're talking about any wave function, we can actually break it up into two components, which are called the radial wave function and angular wave function.
我还没有给你们看过,氢原子波函数的解,让我现在给你们看一下,然后再来说,概率密度,实际上,对于任何一个波函数来说,我们可以把它,分解为两部分,分别叫做径向波函数,和角向波函数。
So I'm going to check to see if- really can't read that thing, let me do it this way-- right, I'm going to increase the number of compares, and I'm going to check to say, is the thing I'm looking for at the i'th spot in the list?
让我们这样做吧-好-,我会去增加比较次数的计数器,然后去看看在第i处的元素,是不是我要找的呢?,这里s的意思就是,给定数组的?
So let me write that down, it's how much memory do I need to complete a computation.
让我把它写下来,当我计算的时候。
All right. I want to do one more extended example here., because we've got another piece to do, but I want to capture this, because it's important, so let me again try and say it the following way.
很好的问题,谢谢你,我还要带大家去看一个延伸的例子,尽管我们还有别的事情要去做,但是我还是想提提这一点,因为这很重要。
So even within this framework of, given a description of a computation as a set of steps, in the idea that I could build a circuit to do it, let me suggest for you what would be a wonderful circuit to build.
所以即使需要在将计算描述,当成一系列步骤中的一步,这个框架之内,我也完全可以建立一个线路,来完成那个想法,让我为你们假设能建造起,一个多么棒的线路吧。
Let me rephrase it into garbled English that'll lead more naturally into what I want to do While the egg whites are not stiff, beat them.
让我用篡改的英语,重新说一遍,我要做的吧,当蛋清还不够浓稠的时候,搅拌它们。
And then I could do things like again, say, okay having done, that let me just run it here, run that, so I've now got polar point 1, and polar point 2.
然后给它们赋值半径和角度,然后我可以进行刚才的操作,也就是说,对刚才的笛卡尔坐标进行的操作,让我们来运行下它吧,运行下,现在我有一个极坐标点。
I guess it's not macho enough, John, to just, you know, you know, go off and do things by hand, you ought to just run them, but it's a valuable tool to get into, so let me do that here.
我认为这不太男人了,John,你知道的,他们仅仅是认为比起用手做来,更应该直接去运行程序,但是这确实是调试代码的非常有价值的工具,让我在这里给大家演示下吧。
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