Thanks Jose. These are fascinating. On my 32-bit machine you need to limit the integers to 2^17 otherwise the graphics fail.
Fraser ----- Original Message ----- From: "Jose Mario Quintana" <[email protected]> To: "Programming forum" <[email protected]> Sent: Monday, November 14, 2011 1:36 PM Subject: Re: [Jprogramming]First number and Focuss Issue > > 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 ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
