三维数阵的框架定义及运算——处理复杂系统的新思维系列之十八  

The Framework Definition and Operation of Three Dimensional Array——New Thinking of Dealing with Complex Systems Series Eighteen

作　　者：徐婷[1] 罗纯[1,2] 张应山[1] 邵文昕[1] 吴汀汀[1] 

机构地区：[1]华东师范大学金融与统计学院,上海200241 [2]上海应用技术学院理学院,上海201418

出　　处：《上海应用技术学院学报（自然科学版）》2013年第2期156-160,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。作为系列论文的第十八篇,主要研究了三维数阵的框架定义及运算,将这些运算统一成与矩阵同构的形式,便于对三维数阵处理。This series of articles, based on ＂Multilateral Matrix Theory＂ and inspired by the Eastern ho- listic thinking,are trying to provide and improve a set of powerful mathematical tools to handle multi- target local issues, non-uniformity problems and nonlinear problems of complex system ranging from the whole to the part with rigorous theoretical analysis and proof. As the eighteenth paper of the series, the framework definition and operation of three dimensional array were studied,and these operations were unified into the matrix in the form of isomorphism to facilitate the processing of three dimensional array.

关 键 词：三维数阵 框架 圆括号乘法 方括号乘法 

分 类 号：G634.6[文化科学—教育学]