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有序与无序的数学理论(Ⅰ)
引用本文:黄番华.有序与无序的数学理论(Ⅰ)[J].华南师范大学学报(自然科学版),2006(1):15-24.
作者姓名:黄番华
作者单位:华南师范大学数学科学学院,广东广州,510631
摘    要:阐述了有序的数学理论.依次给出宏观态有序度、系统的平均有序度以及相应于3种统计法的系统平均有序度的定义,然后应用组合分析的方法推导出计算它们的公式及有关定理.

关 键 词:宏观态  有序度  平均有序度
文章编号:1000-5463(2006)01-0015-10
收稿时间:2005-08-30
修稿时间:2005年8月30日

MATHEMATICAL THEORY OF ORDER AND DISORDER(I)
HUANG Fan-hua.MATHEMATICAL THEORY OF ORDER AND DISORDER(I)[J].Journal of South China Normal University(Natural Science Edition),2006(1):15-24.
Authors:HUANG Fan-hua
Institution:School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
Abstract:Mathematical theory of order is expounded.The definitions are given successively which are the degree of order of macrostate,average degree of order of system and average degree of order of system with respect to three statistics.Next,the theorems concerned with degree of order are deduced by using the method of combinatorial analysis for definitesystem.
Keywords:macrostate  degree of order  average degree of order
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