| 深入分析关系R的性质 |
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| 引用本文： | 唐斌.深入分析关系R的性质[J].大连铁道学院学报,2009(1):98-101. |
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| 作者姓名： | 唐斌 |
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| 作者单位： | 大连交通大学软件学院; |
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| 摘 要： | 离散数学中的关系R是一个重要的基本概念。根据定义在一个集合A上的关系R的六个性质的英文定义，利用蕴含式的逻辑特点，从有序对和关系R的矩阵M_R两个角度对每个性质逐一进行分析，得出在判定关系R的性质时可用的结论，并且分析了自反性与非自反性之间、对称性与反对称性之间、对称性与非对称性之间、非自反性和反对称性以及非对称性之间的联系。
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| 关 键 词： | 离散数学 关系 性质 蕴含式 真值 |
Study of Relation R Properties |
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| TANG Bin.Study of Relation R Properties[J].Journal of Dalian Railway Institute,2009(1):98-101. |
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| Authors: | TANG Bin |
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| Institution: | TANG Bin(Software Institute,Dalian Jiaotong University,Dalian 116052,China) |
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| Abstract: | Relation R is a very important basic concept in discrete mathematics.Based on English definition of the six properties which a relation R defined on a set A and utilizing the logical characteristic of implications,two aspects of ordered-pair and the matrix MR are considered,and the properties of the R is analyzed one by one.A few useful conclusions are summarized as determining the properey of the R.The following collections are also analyzed between reflexive and irreflexive,symmetric and antisymmetric,sym... |
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| Keywords: | discrete mathematics relation property implication truth value |
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