tailieunhanh - báo cáo hóa học:" Research Article The Relational Translators of the Hyperspherical Functional Matrix"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article The Relational Translators of the Hyperspherical Functional Matrix | Hindawi Publishing Corporation Advances in Difference Equations Volume 2010 Article ID 261290 11 pages doi 2010 261290 Research Article The Relational Translators of the Hyperspherical Functional Matrix Dusko Letic 1 Nenad Cakic 2 and Branko Davidovic3 1 Technical Faculty M. Pupin 23000 Zrenjanin Serbia 2 Faculty of Electrical Engineering 11000 Belgrade Serbia 3 Technical High School 34000 Kragujevac Serbia Correspondence should be addressed to Nenad Cakic cakic@ 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. We present the results of theoretical researches of the developed hyperspherical function HS fc nzr 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 1. Introduction The hypersphere function is a hypothetical function connected to multidimensional space. It belongs to the group of special functions so its testing is performed on the basis of known functions such as the r-gamma -psi B-beta and erf-error function. The most significant value is in its generalization from discrete to continuous. In addition we can move from the scope of natural integers to the set of real and noninteger values. Therefore there exist conditions both for its graphical interpretation and a more concise analysis. For the development of the hypersphere function theory see Bishop and Whitlock 1 Collins 2 Conway and Sloane 3 Dodd and .