With the computer today, you can, for the most part, not represent every possible number that mankind can think of.
在当今世界,大多数情况下,并不是要把每个数字,都精确表示出来。
It's not as though the number two is something that you see or hear or taste or could bump into.
数字2不是,你能看到或听到或尝到或遇到的东西
So 1.1 times 10 to the -31 meters is not, in fact, a significant number when we're comparing it, for example, to the length of a ball, or the size of the baseball field.
所以1,1乘以10的负31次方米,事实上并不是一个很重要的数字,举例来说,当它与一个球的长度,或者一块棒球场地对比时。
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“
But notice now, those aren't just simple things like numbers, those are actually points.
但是现在请注意,这并不是像数字一样,的简单类型了。
Here, we are not talking about a single number, but a displacement in the plane.
我们现在不是在讨论数字,而是平面上的位移
The thing is still not dominated and we could still have done exactly the same analysis, and actually you can see I'm not very far off in the numbers I made up, but things are not perfectly symmetric.
这虽然不能成为劣势策略,但我们还是能得出一样的分析结果,实际上这和我编的数字相差也不是很远,凡事并不总是绝对对称的嘛
Not by some very arcane numeric address inside my computer's memory, but by a symbol, by a name.
不是通过一些在我电脑内存中的神秘的数字地址,而是通过一个符号,一个名字。
The number three is not a physical object, perfect roundness is not a physical object, perfect goodness is not a physical object.
数字三不是一个物理实体,正圆不是一个物理实体,真正的善良不是一个物理实体
- Here, the secret is not a number 13, it's actually the build -- the diagram, the details, the gears, and the handles inside of this physical machine that constituted a secret.
这里,机密数字不是数字13,它实际上构造了-,一个图表,这个物理装置中的细节,传动装置,操纵,就构建成了一个机密。
I can certainly try to write the number 13 there, but bam, my program very likely will crash if this chunk of memory was not given to me previously by the operating system and maybe it is owned by the operating system.
我当然可以在那里写下数字13,但是“嘣“,如果这块内存不是系统预先给我的,我的程序很可能会崩溃,可能这块内存,是系统本身使用的。
You know that's true for ordinary numbers, right?
这对于普通数字的加法成立,不是吗
Fast forward mid-semester when we talk about cryptography and scrambling information, we need the ability to express ourselves in words, not just numbers, and we have that already.
回想一下期中的时候,我们讨论过密码学,和一些不规则信息,我们需要话语来表达自己,而不是数字,其实我们已经有了。
The number three is not a physical object.
数字三也不是一个物理实体
It's not just a number, it's any expression.
这可以不是一个数字,可以是任意表达式。
Good, so even if everyone in the number-- everyone in the room didn't choose randomly but they all chose a 100, a very unlikely circumstance, but even if everyone had chosen 100, the highest, the average, sorry, the highest two-thirds of the average could possibly be is 66 2/3, hence 67 would be a pretty good choice in that case.
好的,如果每个人,教室里的每个人不是随机选择数字,而是全选了100,这好像不太可能,但如果每个人真的都选了100,就是最大的书,那平均数,抱歉,平均数的2/3会是66又2/3,此情况下67应该是个不错的选项
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。
应用推荐