General Mathematics

1103 Submissions

[3] viXra:1103.0107 [pdf] submitted on 26 Mar 2011

A New Variant of the Board Game Chess: Chess With New Mindless Figure.

Authors: Martiros Khurshudyan
Comments: 4 pages.

In this article we present a new variant of Chess Game. This work is not written for attempt to propogate the Chess Game or to present whole beauty of the Game. We know that figures from ordinary Chess are faithful by means given by the definition at 'A New figure of the game and its properties' section. The aim here is different, here we want to make a new Game by playing with faithfulness of the figures. Directed by that motivation, we introduce a New Type Game Figure: Mindless Figure. This figure has very interesting property, it can not remember its past and its future do not known. And such property gives such name to our figure. From the future writing, our New Figure can be considered as a mirrow, which can reflect the properties of the other figures. In the coming sections of the article the following are presented and discused: discription of the new figure, general rules are for manage the game and the figure, final proposition and mechanisms of deciding of a winner. As general, the subject of the Game is the same as for the original Chess Game: 'kill the King' of Your opponent [1]. At the end a Conclusion is given.
Category: General Mathematics

[2] viXra:1103.0093 [pdf] submitted on 23 Mar 2011

A Board Game for Two Players: MKCess

Authors: Martiros Khurshudyan
Comments: 3 pages.

In this paper we are going to describe a board game for two players. In this issue are presented basic rules and necessary conditions for describing a winner. Two type of boards are presented for the same rules for the game. In this issue have not presented analyses or winning strategies for the game. Possible generalization schemes of the game are presented at the end of article
Category: General Mathematics

[1] viXra:1103.0073 [pdf] replaced on 19 Apr 2011

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

Authors: T. E. Raptis
Comments: 30 pages. submitted in "Chaos, Solitons & Fractals"

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.
Category: General Mathematics