It is the first definition I've seen of the Fibonacci series which allows an explicit verb to be translated into a tacit expression. f=: 13 :'% 1 +. (+%)/\ y $ 1x' f 7 1 1 2 3 5 8 135 f [: % 1 +. [: (+ %)/\ 1x $~ ] 5!:4 <'f' 5!:4 <'f'
-- [: +- % │ -- 1 --+ +- +. │ │ -- [: L----+ │ -- + │ +- \ --- / -----+- % L----+ │ -- 1x L-----+- ~ --- $ L- ] Thus I would think it would be the way I would introduce the seroes to a high school class which was studying J. Linda -----Original Message----- From: programming-boun...@forums.jsoftware.com [mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Raul Miller Sent: Thursday, February 20, 2014 9:55 PM To: Programming forum Subject: Re: [Jprogramming] What does this do? It also can help to think about this if you realize that adjacent numbers in the fibonacci sequence are relatively prime. Thanks, -- Raul On Thu, Feb 20, 2014 at 9:04 PM, elton wang <ahala2...@yahoo.com> wrote: > Two building blocks are needed for this: one is you already know the > relationship of continued fractions and Fibonacci numbers, and another is > that you know (+%)/ is for continued fractions. In the same vein, we can > also try this (1&(+%)^:_)1 ( = 1.61803, golden ratio) > > > > > > > On Thursday, February 20, 2014 5:49 PM, Peter B. Kessler > <peter.b.kess...@oracle.com> wrote: > > A more interesting question is: Why did you think of doing it that way? > The really interesting question is: How can I learn to think that way? > > ... peter > > > On 02/20/14 12:42, Roger Hui wrote: > > % 1 +. (+%)/\ 100 $ 1x > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm