钢琴(皮亚诺)数字?
我正在听 steve yegge 播客(#29,大约 21:29),其中一部分他们在谈论“如何判断与你交谈的人是否聪明”,他们用一种方式这么说是谈论“聪明人的事情”(我正在解释),例如“钢琴数字”和“lambda 演算”。
我有足够的把握承认我不是世界上最聪明的人,但即使谷歌似乎也无法告诉我“钢琴号码”是什么。 那么,我是否听错了播客上所说的内容? 谁能告诉我什么是“钢琴号码”?
I was listening to the steve yegge podcast (#29, around 21:29), and in part of it, they were talking about "how to tell if the person you're talking to is smart", and they said that one way was to talk about "smart people things" (I'm paraphrasing), like "piano numbers" and "lambda calculus".
I'm secure enough to admit that I'm not the smartest person in the world, but even google can't seem to tell me what a "piano number" is. So, did I mis-hear what was said on the podcast? Can anyone tell me what a "piano number" is?
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聪明和拥有一定的知识基础不是一回事。
我会对任何将两者等同的人持谨慎态度。
以真正的方式,我将汇总其他答案。 他们很可能指的是皮亚诺:
http://en.wikipedia.org/wiki/Peano_axioms
http://en.wikipedia.org/wiki/Giuseppe_Peano
Being Smart and having a certain knowledge base is not the same thing.
I'd be wary of listening to anyone that is equating the two.
And in true SO fashion, I'm going to roll up the other answers. Most likely they meant Peano:
http://en.wikipedia.org/wiki/Peano_axioms
http://en.wikipedia.org/wiki/Giuseppe_Peano
也许是皮亚诺?
Peano perhaps?
哦,谈论一些完全虚构的东西(例如“钢琴数字”)并看看谁假装对此很了解,这可能是对性格的一个很好的考验。
OTOH, it might be a good test of character to talk about something completely made-up (such as "Piano numbers") and see who pretends to be knowledgeable about it.
他可能指的是皮亚诺数字。 吉塞佩·皮亚诺是一位数学家。
http://en.wikipedia.org/wiki/Giuseppe_Peano
He probably meant Peano numbers. Guiseppe Peano was a mathematician.
http://en.wikipedia.org/wiki/Giuseppe_Peano
那些将智力等同于知识的人在两者上都有缺陷。
(请注意,我没有具体说明缺陷的大小,特别是在耶格的情况下。)
我对这两门学科都一无所知当我参加门萨考试时,这并没有阻止我(脸红!)取得很好的成绩。
Those who equate intelligence with knowledge have a deficiency in both.
(Please note that I'm not specifying the size of the deficiency, especially in the case of Yegge.)
I knew nothing of either of those subjects when I took the Mensa exam, and it didn't stop me (blush!) scoring pretty well.
您可以在有关 lambda 演算的维基百科文章中找到 Peano 思想的实现:
http://en.wikipedia .org/wiki/Lambda_calculus
有关 lambda 演算、lamdba 表达式以及动态语言中相关用法的更多信息:
http: //delicious.com/ajlopez/lambda
我正在使用 C# 进行 lambda 演算的简单实现
http://code.google.com/p/ajcodekatas/源/浏览#svn/trunk/AjLambda
You can find an implementation of Peano ideas, in the wikipedia article on lambda calculus:
http://en.wikipedia.org/wiki/Lambda_calculus
More on lambda calculus, lamdba expression and related uses in dynamic languages:
http://delicious.com/ajlopez/lambda
I'm working in a simple implementation of lambda calculus using C#
http://code.google.com/p/ajcodekatas/source/browse#svn/trunk/AjLambda
对于那些对皮亚诺数字的精确定义感兴趣的人,请查看此处< /a>. 简而言之,皮亚诺提出了一种使用后继函数生成自然数的递归方法。 嵌套后继函数形式的数字称为皮亚诺数。 这是逻辑编程教学中的一个常见话题。
For those interested in a precise definition of Peano's Numbers, check out this explanation here. In short, Peano came up with a recursive way to generate the Natural Numbers using successor functions. A number in the form of nested successor functions would be called a Peano Number. This is a common topic when teaching Logic Programming.