General Mathematics

   

Polynomial Representations and Primordial Self-Similarity in the Hierarchy of Universal Lexicons

Authors: T. E. Raptis

A set of fundamental objects is presented that facilitates derivation of some new results with special interest in a variety of topics including Chu spaces, dynamical systems, symbolic dynamics and the theory of polynomials. Three alternative representations of the power set of binary patterns in their associated exponential intervals are presented in terms of polynomials and a natural conjecture on their fractal structure is deduced. Practical applications in Automata theory and Digital Signal Processing are proposed based on special functions defined on the new representation.

Comments: 30 pages. submitted in "Chaos, Solitons & Fractals"

Download: PDF

Submission history

[v1] 16 Mar 2011
[v2] 27 Mar 2011
[v3] 19 Apr 2011

Unique-IP document downloads: 270 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus