| 基子关系矩阵中等价关系的判定 |
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| 引用本文： | 宋泽成,石瑞平. 基子关系矩阵中等价关系的判定[J]. 唐山师范学院学报, 2013, 0(2): 34-36 |
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| 作者姓名： | 宋泽成 石瑞平 |
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| 作者单位： | 唐山师范学院数学与信息科学系;石家庄信息工程职业学院基础部 |
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| 基金项目： | 唐山师范学院教育教学改革研究项目(2011001013) |
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| 摘 要： | 设胄是集合A上的二元关系，要判定R在爿上是否是等价关系，一般来讲，只能从定义出发，当R包含的序偶较多时，从定义出发又比较难于判定。为此，从关系矩阵出发，给出一种判定方法，并讨论等价关系的矩阵性质。
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| 关 键 词： | 二元关系 等价关系 关系矩阵 |
The Determination of Equivalent Relation based on Relation Matrix |
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| SONG Ze-cheng,SHI Rui-ping. The Determination of Equivalent Relation based on Relation Matrix[J]. Journal of Tangshan Teachers College, 2013, 0(2): 34-36 |
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| Authors: | SONG Ze-cheng SHI Rui-ping |
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| Affiliation: | 1.Department of Mathematics and Information Science,Tangshan Teachers College,Tangshan 063000,China;2.Department of Basic Courses,Shijiazhuang Vocational Institute of Information and Engineering,Shijiazhuang 050000,China) |
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| Abstract: | Generally speaking the definition is where we start to judge if R is the equivalence ration on A, that R is the binary relation of the geometrical A. However when R includes comparatively more ordered pairs, it is hard to make a judgment from the definition. The paper is to provide one way of judgment based on relation matrix and further discuss the matrix properties of the equivalence relation. |
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| Keywords: | binary relations equivalence relations relation matrix |
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