So first, I choose a volatility randomly, from some distribution of possible volatilities 2 from to, in this case, 0.2.
来决定的一个值,所以首先我先随机选择一个浮动值,从可能的浮动值中的分布进行选择,在这个例子中就是0。
And I used to live here, so I now come down to see some friends and
我以前住在伦敦,所以现在我来拜访朋友,
It repays innumerable readings and re-readings, so I urge you to read it seventy-five times, let's say, before you come to class on Monday.
这需要反复的阅读和再阅读,所以我建议你们在周一来上课前,要读七十五遍。
So let me turn to a different approach to solving the question, answering the question,which one should we believe?
所以让我用另一个方法来解决这个问题,回答该相信哪一个理论的问题?
So I'm going to solve this by enumerate and check, which is an example of what's called a brute-force algorithm.
你懂的,所以我得靠列举和检验来解决这个问题,这就是我们说的穷举算法。
But so when I say "family"-- we try to avoid even talking about "the Roman family," because it means something so different to them than what it means to us.
所以我说家庭时-,我们尽量不用来指“罗马家庭“,因为这个词古今意思截然不同。
And then I could put a couple of plates and I could raster the beam so that when I am looking here,the beam goes back and forth about 80 times a second.
然后我放了两个感光片,我可以检测到光束所以,当我观察时,电子束以每秒80次的速度来来回回了。
So, I congratulate you of being here in this class, MIT this is really good solid foundation for whatever you go on to do, here at MIT.
所以我要恭喜来上这课的每一位同学,这确实是你要在,学任何东西的基础。
So let's start somewhere; what we're going to do is we'll refer back to this other picture, which is why I left it here.
就从这里开始着手吧,我们先来参考一下之前的图像,所以我之前没有擦掉它
As far as I know we're getting him, so I hope that you will all be able to come this Friday, here, at the usual time.
我知道他一定会来,所以我希望你们周五也能来,老时间,老地点
So I just wanted to quickly share them with you.
所以我想很快地来给你们大家讲一下。
So, I would like to ask for some volunteer hoplites.
所以,我需要一些志愿者来扮演重装步兵
I've assigned a full two weeks to the Republic, which would be four lectures, but because I wanted to do some other things with the course as well, I had to cut the Republic by one lecture, and now I'm paying for that today.
我会分配两周的时间来消化《理想国》,等同四堂讲课,但因为我想要,加一些内容到课堂来,所以我必需砍掉《理想国》的一堂课,今天我要付出代价。
So I propose this as a new algorithm for sorting N elements and being 8 in this case or really a thousand in the case of the phonebook, or anything of larger size.
所以我提出一种新的算法,来解决N个元素的排序问题,在这个问题中N是8,在电话簿的问题中N是一千,或者是大规模的任何问题。
And so when the writing took off, I let the writing kind of lead me.
所以当我开始写作,我便让写作来指引我的方向。
But it's not in sync with reading, so let me show you a little about the reading.
不过电影和材料并不完全对应,所以让我来给你们说说阅读材料。
We have the convention of music of writing this symbol indicating the beat-carrying unit of four so I'm writing a four underneath each of these.
我们有一个约定俗成的书写格式,来表示四拍一单元,所以我在每行这里的下面写上一个四
And, so yes, to answer your question, I think there are adequate facilities
所以我来回答你的问题,是的,我觉得这里的设施很完备,
So, I wrote some very simple software to receive an email from my BlackBerry and then send it out to an email list of some people I put on that list, with my friends and my family on it.
所以我编写一些很简单的软件,来接收我的黑莓手机发来的邮件,然后将其转发给一个邮件列表,这个列表上有我的朋友和家人。
So I hope you will not object to that, because you don't have microphones on you, and it's very cumbersome to get them back to you, so we're not going to mike you so that your answers can be heard.
所以我希望你们不要反对,因为你们没有麦克风,把麦克风传过去给你们会很费事,所以我不会让你们借助麦克风,来让我们听到你的回答。
So it would have been nice to have this at a later hour but this was the only time that really worked into the schedule, so I appreciate you being here.
所以,如果能晚一点上课当然好,但这是课程表唯一能排出来的时间,所以我很高兴你们能来上课
after grown up in that weather, I was ready to move on, so.
因为在那种天气下生活过,所以我决定搬到这里来住。
My sister's still in high school, so she'll be, she'll be here, too.
我妹妹还在上高中,所以她也会来这里。
So now when I compile this fourth version with make math4 1 31 and then run math4, I indeed get 1.31.
所以现在我键入“make,math4“来编译第四个版本4,然后运行math4,我得到了。
I think that at least for many of us, there is a sort of logical conundrum we go through and that is, if good people don't vote then we'll be in a bad world; so I have to vote to prove that good people vote, then maybe it will happen.
我想,至少对大部分人来说,必须面对一个逻辑上的难题,就是,如果好人不投票,那我们将会生活在坏人操纵的世界里,所以我必须要投票,来证明好人会投票,那未来的国家将会由好人掌控
f2c So I'm going to go ahead and run make on f2c, which is the name I gave to this particular program.
所以我将继续来编译,这是我给这个程序取的名字。
So what I want to do now is I want to switch course and introduce a new tool.
所以接下来我想换个话题了,我们来介绍一个新的理论工具
So, what I want to do is take at least a couple of minutes and pursue some of these extra features as well.
所以我想至少花几分钟,来谈谈其中的一些特征。
And so, these processes where you take in-- I'm giving this in a very physical way, but in a more psychological sense you have a way of looking at the world.
所以你们听到的这些过程,我刚才是从生理的角度来谈论这些过程的,从心理上来讲,你拥有一种看待世界的方式
And the rest, what we see of the rest, is nowhere in the classroom for Orson Welles in terms of technique. So that remake is interesting and that's why I spent the pages discussed it in my chapter. But it's not a competitor.
剩下的呢,就是我们所看到的,没有给奥森·威尔斯施展,他技艺的空间,所以翻拍版很好玩,这也是为什么我用许多页来,在我那一章中讨论此事。
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