Advances in Difference Equations
Volume 2010 (2010), Article ID 261290, 11 pages
doi:10.1155/2010/261290
Research Article

The Relational Translators of the Hyperspherical Functional Matrix

Dusko Letic,1 Nenad Cakic,2 and Branko Davidovic3

1Technical Faculty “M. Pupin”, 23000 Zrenjanin, Serbia
2Faculty of Electrical Engineering, 11000 Belgrade, Serbia
3Technical High School, 34000 Kragujevac, Serbia

Received 18 March 2010; Revised 18 June 2010; Accepted 6 July 2010

Academic Editor: Roderick Melnik

Copyright © 2010 Dusko Letic et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present the results of theoretical researches of the developed hyperspherical function HS(k,n,r) for the appropriate functional matrix, generalized on the basis of two degrees of freedom, k and n , and the radius r. The precise analysis of the hyperspherical matrix for the field of natural numbers, more specifically the degrees of freedom, leads to forming special translators that connect functions of some hyperspherical and spherical entities, such as point, diameter, circle, cycle, sphere, and solid sphere