维数理论与差异协同律  

Dimensional Theory and Difference - Coordinated Law

作　　者：汪富泉[1] 李后强[2] 

机构地区：[1]四川师范学院 [2]四川大学

出　　处：《系统科学学报》1994年第4期30-36,共7页Chinese Journal of Systems Science

基　　金：中华社会科学基金资助项目

摘　　要：维数是系统无序程度的一个量度,维数理论中蕴含着丰富的系统哲学内涵.本文从维数与时空、怪异结构、低维与高维、整数维与分数维,正维数与负维数,单一维数与维数的连续谱等方面论述了维数理论与差异协同律的辩证关系.Dimension is a measurement of disorder degree in a system. Dimensional theory contains the thoughts of system philosophy richly. This paper discusses the dialectical relations between dimensional theory and difference - coordinated law from several aspects , such as dimension and space - time, strange structure, low and high dimensions, integral and fractional dimensions, positive and negtive dimensions, single and continual dimensional spectrum, and so on.

关 键 词：差异协同律 微分结构 分数维 分形集 哲学内涵 辩证关系 空间点 自对偶联络 协同性 极限环面 

分 类 号：O189.12[理学—数学]