Some thoughts regarding the first issue The dyadic Cantor function (#. #:) in the first article is related to the s(n) function (+/"1 @ #:) as follows, ((+/"1 @ #:) -: (1&(#. #:))) i.2^18 1 Self-similarities and other properties of the Cantor function family are apparent when they are graphed together: Cantor=. (#. #:) "0 _ NB. Setting a convenient rank load'plot' dl=. 0 # 6!:3 NB. delay plot i.9 NB. Initial dummy plot plot _1.5 1.5 Cantor i.2^18 dl 7
plot _2 2 Cantor i.2^18 dl 3 plot _3 3 Cantor i.2^18 dl 3 plot 0.5j1.5 1.5j0.5 Cantor i.2^18 dl 3 One of my favorite Cantor functions is 1j1&Cantor: plot 1j1 Cantor i.2^0 18 NB. One dragon... dl 3 plot 1j1 Cantor i.2^1 17 NB. Made of 2 interlocking dragons... dl 3 plot 1j1 Cantor i.2^2 16 NB. Each made of 2 interlocking dragons... dl 3 plot 1j1 Cantor i.2^9 9 NB. ... and so forth ... dl 3 plot 1j1 Cantor i.2^17 1 NB. One dragon made of 2^17 interlocking dragons dl 3 I found this issue very stimulating. Thank you very much for sharing your efforts! ________________________________________ From: [email protected] [[email protected]] On Behalf Of mikel paternain [[email protected]] Sent: Saturday, November 12, 2011 2:58 AM To: [email protected] Subject: [Jprogramming] First number and Focuss Issue The first number of Journal of J (ISSN:2174-9280) is published! Please, visit https://sites.google.com/site/jforscience/home We are preparing now a special number (to appear in December) about Mathematical Roots of J. However other contributions are also welcome. Sections: -Papers: articles -Short Notes: rapid communications but without the size of an article. -Letter to editor: any interesting communication (mistake, typo, opinion...):-news: meetings, conferences, reviews, news and others... The edition schedule is the next: November (2011) First number. Closed. December (2011) Special number. Open. Contributions, paper, collaborations, etc. are welcome!! January (2012) First number of Vol.1. Open Six number per year (or 12 if many contributions come) Special numbers, addendum and more !! PLease Circulate, Collaborate!! ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
