Definition of Generalized Symmetric Array and Philosophical Significance
ZHANG Ying-shan
ZHAO Jian-li
Abstract：This series of articles based on"multilateral matrix theory", inspired by the Eastern holistic thinking by trying to provide and improve a whole complex system to handle symmetrical multi-target problems, symmetrical non-uniformity problems, symmetrical nonlinear problems, apowerful mathematical tool from Global to Local issues and its rigorous theoretical analysis and proof.Generalized symmetry or generalized symmetry analysis method is one of the concerns in the study of generalized symmetry of the problem, the structure for a symmetrical array is the basis of generalized symmetry problem.As the first series of papers, in this paper, using the free function model, according to the orthogonal idempotent system, adopting the symmetrical permutation invariability as a balance index, both the definition and the philosophical meaning of generalized symmetrical arrays are discussed from philosophical level.
Keywords：generalized symmetrical arraysorthogonal idempotent systemsfree function modelsthe symmetrical displacement invariabilitysymmetrical matrix images
Publication Date：2018-10-01
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：7( 58-64 )