[Jprogramming] First number and Focuss Issue‏

[Jose Mario Quintana]

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: programming-bounces at jsoftware.com [programming-bounces at jsoftware.com] On Behalf Of mikel paternain [mikelpater at hotmail.es]
Sent: Saturday, November 12, 2011 2:58 AM
To: programming at jsoftware.com
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!!

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