对称框架轨道的群表示——处理复杂系统的新思维系列之七  

Group Representation of the Symmetrical Framework's Orbit-the New Thinking of Dealing with Complex Systems Series Seven

作　　者：罗纯[1] 陈志琴[2] 张应山[2] 

机构地区：[1]上海应用技术学院理学院,上海200235 [2]华东师范大学金融与统计学院,上海200241

出　　处：《上海应用技术学院学报（自然科学版）》2011年第2期159-163,共5页Journal of Shanghai Institute of Technology: Natural Science

基　　金：教育部高等学校博士学科点专项基金资助项目(44k55050)

摘　　要：本系列论文基于《多边矩阵理论》,由东方整体性思维所启迪,试图提供并完善一套从整体到局部处理复杂系统多指标问题、非均匀性问题、非线性问题的强有力的数学工具,并对其进行严格的理论推导和证明。本研究用群表示框架和轨道,讨论了对称框架的计算和组合计算公式。This series of papers,based on ＂Multilateral Matrix Theory＂ and inspired by the Eastern holistic thinking,try to provide and improve a powerful mathematical tool to handle complex multi-target problems,non-uniformity problems and nonlinear problems from global to local issues.And its rigorous theoretical analysis and proof is also given.As an eleventh series of papers,it is discussed that symmetric framework and its orbit are represented by group,that the number of elements of symmetric framework is calculated and that a formula of combination between symmetric framework and the group is presented.It discusses the symmetric framework,its orbit represented by group,and the formula of ombination between symmetric framework and the group.

关 键 词：对称框架 稳定子框架 轨道 稳定子群 右傍系 

分 类 号：O212.6[理学—概率论与数理统计]