聊城大学学报（自然科学版）2018，Vol.31Issue(4)：58-64,7.DOI:10.19728/j.issn1672-6634.2018.04.011
广义对称表的定义和哲学意义
Definition of Generalized Symmetric Array and Philosophical Significance
摘要
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.关键词
广义对称表/正交幂等系统/自由函数模型/对称置换不变性/对称矩阵象Key words
generalized symmetrical arrays/orthogonal idempotent systems/free function models/the symmetrical displacement invariability/symmetrical matrix images分类
数理科学引用本文复制引用
张应山,赵建立..广义对称表的定义和哲学意义[J].聊城大学学报（自然科学版）,2018,31(4):58-64,7.基金项目
国家自然科学基金项目 (11301247) （11301247）
教育部高等学校博士学科点专项基金资助项目 (200802691021) 资助 （200802691021）
