徐利治,张鸿庆.数学抽象度概念与抽象度分析法[J].数学研究及应用,1985,5(2):133~140
数学抽象度概念与抽象度分析法
Concerning the Concept of Mathematical Abstraction Degree and a Method of Abstraction Degree Analysis
投稿时间:1984-11-03  
DOI:10.3770/j.issn:1000-341X.1985.02.034
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英文关键词:
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作者单位
徐利治 大连工学院应用数学研究所 
张鸿庆 大连工学院应用数学研究所 
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英文摘要:
      Every mathematical concept X considered as an abstract thing can be precisely reached through a whole process of abstraction involving a number of steps. The maximal number of steps involved may be defined to be the abstraction degree deg (X) for x. Various abstract things belonging to a branch of mathematics generally form a poset (M, (?)) which can be described by a multiple directed graph. Thus both the graph theory and the theory of posets apply to our abstraction degree analysis (ADA).
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