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I made a ton of random things when I was at Harvard and most of them no one ever saw.
我在哈佛写了许多程序,很多都没人见过。
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When we looked at the random walk series I think the representativeness heuristic played a role in there as well.
当我们观察随机漫步序列时,我认为代表性原则偏误,也起了一定作用
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uniform So here, I'm going to look at the thing random dot uniform, for example, between minus volatility and plus volatility.
所以在这里，我会看到random。,比方说，在-浮动性值+浮动值之间。
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So, just random contract jobs until I discovered this company called Odeo, which was run by Evan Williams.
所以，我一直在打零工,直到我找到了一家叫奥德奥的公司，它是埃文·威廉姆斯经营的。
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Do I go out to Harvard yard and take a random sample ? of sophomores to study meditation?
是不是可以在哈佛大二学生里随机抽样,来研究冥想？
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In fact, when Facebook first debuted, random aside, ID they used I believe an int to represent your profile IDs.
在Facebook创立之初，我猜他们使用int来表示配置文件。
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So I don't know, I actually spent a long time random stuff.
我就是喜欢编程，花了很多时间，设计了许多程序。
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And I don't just mean throw out some random assortment of notes.
我不是说那种随机抛出各类音符的创作
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And I say if you took a random sample of the Americans: "When you woke up in the middle of the night" and said: "What does the America stand for?"
我觉得如果给美国人做个抽样调查：,半夜醒来的时候“,被问到，美国人主张什么“
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Well, what I would say there is there is a distinction ... between picking out individuals and having a random choice of individuals. Like ... Between picking out... let me make sure, ... between picking out individuals, let me... what's your name?
我要说的是，选出特定的一些个体,和随机选出一些个体是有区别的，比如。,两者是有区别的，让我确认一下，挑选特定的个体，你叫什么名字？
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Let me give you, I'm going to create, q a polar point, I'm going to call it q, and we'll give it some random values.
让我给大家讲解下，我要去创建，一个极坐标点，然后我会去命名它为，然后我给它赋一些随机的值，好，现在我想知道。
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It's just some random chunk of four bytes that happens to be available at this point in time, but I can put something there.
只是一些随机的四字节的内存块,在这里是可以使用的，但是我可以在那里放置东西。
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The better way to think about this is, suppose, rather than starting at the beginning, I just grabbed some spot at random, like this one.
不从数组的头开始遍历，我随即的从数组中抓一个元素，比如这个，我去看看这个元素的值。
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It could be that a random distribution-- I don't have colored chalk here I don't think, so I will use a dash line to represent the fat-tailed distribution.
这是一个随机分布,这里没有彩色粉笔,我就用虚线,来表示长尾分布
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For example, the experiment could be tossing a coin, I will call the outcome heads the number one, and I'll call the outcome tails the number zero, so I've just defined a random variable.
比方说,抛硬币的试验,我将正面向上的结果对应数字1,反面向上的结果对应数字0,这样我就定义了一个随机变量
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You have discrete random variables, like the one I just defined, or there are also--which take on only a finite number of values-- and we have continuous random variables that can take on any number of values along a continuum.
就像刚定义的,是一个离散型随机变量,随机变量还可以有无限种取值,也就是连续型随机变量,随机变量可以取某一区间的一切值
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Covariance is--we'll call it--now we have two random variables, so cov... I'll just talk about it in a sample term.
协方差是...我们有两个随机变量,x和y的协方差是,从样本的角度来说
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And then I'll create this function, d1 this distribution d 1, which will, whenever I call it, give me a random, a uniformly selected value between minus and plus volatility.
然后我会创建这个函数，这个概率分布，每次我调用这个函数的时候，他会给我返回一个随机的，按照均匀分布,从正负浮动值之间选择的值。
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I have it down that there might be an infinite number of possible values for the random variable x.
对于这个随机变量X,可能的取值个数是无限的
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So by the time it came, more like, by the time I came to meet this random project that was pretty well change where it's making that, you know In terms of managing this whole process, nothing.
因此，当创造Facebook的念头产生的时候,我已经准备充分并且能够实现它了，但我从未想过关于规划整个过程的事。
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The basic definition-- the expected value of some random variable x--E--I guess I should have said that a random variable is a quantity that takes on value.
最基本的定义,某一个随机变量X的期望值E,我应该提到过,随机变量是一个可以取值的数
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