不动泛系定理中结构与数量的特征描述

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The Description of the Characteristics of the Structure and the Quantity in Fixed Pansystems Theorems

摘要: 泛对称是物理等学科中对称性、稳定性等概念的轴象概括,不动泛系定理刻划了系统结构的一种典型的泛对称性.本文补充并推广了[1]～[3]中有关不动泛系定理的工作,对有限的情形给出了不动子集的结构特征,最小不动子集的存在准则,以及不动子集与极小不动子集的计数公式.

Abstract: Paaspmmetrp is the abstract of spmmetrp, stability and other concepts in phpsics and so on. Fined panspstems theorems portray a typical panspmmetry of systemic structure, The present paper complements and extends the work in[1]~[3] concerned in fixed pansystems theorems. It gives is finite case the structural character of fined subsets, the criterion of existence of the least fixed subset, and the numbering formula of fined subsets and minimal fined subsets.

[1]	Wu Xue-mou,Panspstems methodology:Concepts,theorems and applications(Ⅴ)~(Ⅵ),Science Exploration.4(1983),1.3(1984).
[2]	Wu Xne-mou,Fized pansystems theorems and panspstems catastrophe analysis of pan-weighted network,Research and Review of Mathematics,2(1984).
[3]	高隆颖、王书基,泛对称与不动泛系定理,应用数学和力学,5.5(1984).
[4]	Scott,Daaa,Lectures on a Mathematical Theory of Computation,Ozford University Press(1981).
[5]	Stoy,Joseph E.,Denotational Semantics:The Scott-Strachey Theory,MIT Press(1977).
[6]	Tennent,R,D.,Principles of Programming Languages,PHI Press(1981).