This is a pretty alarming number because the rates so high already, one can't imagine it going up by another third.
这个速率是如此之高,确实值得引起警惕,人们无法想象这个数字要增加1/3
So at this point in the story-- at this level in the story, if you will, I've touched one, two, three, four numbers total or I've made two comparisons.
那么这时,我总共已经动过了1,2,3,4个数字,或者说我做了两次比较。
How do we know that everyone choosing 1 is the Nash Equilibrium in the game where you all chose numbers?
我们怎么知道在那个数字游戏中,选择1就是这个博弈的均衡呢
So for example, I can say, what are all the methods associated with the number,or the integer 1?
所有与数字,或者说整数,相关联的方法是哪些?,你可能已经认出一些来了?
It is always a number that lies between zero and one, or between 0% and 100%.
概率一定是一个在0和1之间的数字,或者说0%和100%之间
It's really as if the game is being played where the only choices available on the table are 1 through 67.
就如同这游戏的可选项只有,1到67之间的数字了
Well, it looks like it took 1 in this case or it involves-- we can put it another way, merging those two lists involved looking at two numbers, 1, 2, and that's it.
在这种情况下看起来只用了1次-,我们可以从另一个角度看,合并这两个列表涉及到了,2个数字,1,2,就是这样。
Well, notice again, on each level of the tree, when I actually do the merging, so this remember, is when I wrote down just the numbers when I bottomed out with the list of size 1.
请注意,在这棵树中的每一层,我真正做合并时,就将每个大小为1的列表中的,数字写下来。
Without showing your neighbor what you are doing, put it in the box below a whole number between 1 and a 100.
在不被你同桌看到的情况下,在方框里写下一个介于1到100之间的数字
By 1970. this had dropped to less than 1.2.
而到了1970年,这个数字就下降到1。2以下。
So, how do you go from just numbers, zeros and ones to actually useful information?
那么,你该怎样由这些数字0和,1来表述有用信息?
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
But really, the computer's just so fast I'm drawing the same string with just a slightly different number again and again after going to sleep one second at a time.
但是真实地,这个计算机到现在为止,我一次又一次用稍微不同的数字,绘画了相同的字符串,在睡眠1秒钟之后。
1 Well, literally the number 71.
好的,是数字。
As reported contemporaneously in 2000,the number was -3.1% but if you look at the number reported for 2005, because bad records had disappeared and good records had been added, all of a sudden the average experience for that year went up to +1.2%.
000年期的公告中这个数字为负3.1%,但是如果你去查2005年公告的数字,坏记录已经调整而消失,有利的投资记录被加入,转瞬之间,年平均收益升至1.2%
In a moment I'm going to ask you to humor us and stand up but not just yet; and then you're going to each take on the number 1-- think to yourself I am number 1.
待会儿我让大家站起来,一起娱乐一下,不过不是现在,一会儿你们每人都代表一个数字1,心里默想,“我是1号“
Even the game, when you chose numbers, you chose numbers 1, 2, 3, 4, 5, up to a 100, there were 100 strategies.
比如那个数字游戏,你能从1到100这100个数字中选择
In that numbers game it converged to 1.
在数字游戏中最后就只剩1了
And it's the 0s and 1s, that notice they're in patterns of 8 generally or chunks of 8, the so called byte that the actual CPU understands.
也就是一些0啊,1啊,请大家注意,这些数字每8个挨一块,这就是所谓的字节,实际CPU能够处理的东西。
And a bit, B-I-T, just a shorthand for binary digit, 2 so a digit of zero over a one, bi means two, you only have two digits.
比特,B-I-T,是binary,digit的简写,从0到1的数字,而bi表示,所以你就只有两个数字。
You'll notice I have the string with the number 1 MIT a string with MIT, and then it just a plain old number, not a string, again it didn't quite give me 3.3 for reasons we've talked before, a and now it in the list a.
你们可以看到这儿有个以字符串1,形式显示的数字1,1个字符串,还有一个非字符串形式的平常数字,结果并不是3。3,原因之前我们,已经讨论过了,还有一个在list中的。
- %d means -- >> >> David: Yep, so one or more digits.
d意思是-,>>,【无法辨认的声音】,>>,大卫:是的,1或更多的数字。
Percent D is for a digit, like a number or-- one or more digits.
d代表以数字的形式输出,比如一个数字或者--1或更大的数。
If we need a 7, this is the ones column, the twos, fours, eights, so here are our columns and this was our decimal system a moment ago, and I wanna express the number 7 and the only digits 0 I now have access to are zero and one, whereas, in decimal, dec meaning 10.
如果你需要7,这是一位,二位,四位,八位,这是位数,刚才说的十进制的位数,我想表达7而且,只能采用数字1与,在十进制中,dec意思是十。
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