| 等价关系与等价关系矩阵 |
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| 引用本文： | 王志龙.等价关系与等价关系矩阵[J].兰州工业高等专科学校学报,2005,12(1):39-42. |
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| 作者姓名： | 王志龙 |
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| 作者单位： | 兰州工业高等专科学校,基础学科部,甘肃,兰州,730050 |
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| 摘 要： | 首先对关系与关系矩阵进行了探讨,得出一个关系具有对称、反身及传递性的充要条件是其关系矩阵有对称、主对角线元素为1等性质;然后重点讨论了等价关系和等价关系矩阵之间的关系及如何确定等价关系矩阵;最后论述了它们的运算性质.
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| 关 键 词： | 等价关系 等价关系矩阵 布尔矩阵 布尔积 |
| 文章编号： | 1009-2269(2005)01-0039-04 |
| 修稿时间： | 2004年12月11 |
Equivalent Relation and Equivalent Relation Matrix |
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| WANG Zhi-long.Equivalent Relation and Equivalent Relation Matrix[J].Journal of Lanzhou Higher Polytechnical College,2005,12(1):39-42. |
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| Authors: | WANG Zhi-long |
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| Abstract: | After discussing the relation and the relation matrix,this paper draws a conclusion that the sufficient and essential condition for one relation to be on symmetry,being against body and having transitivity is that the matrix has the symmetrical property and its main diagonal equals 1.It mainly discusses the relationship between equivalent relation and equivalent relation matrix and the problem how to ascertain the equivalent relation matrix.And it dissertates their operation nature finally. |
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| Keywords: | equivalent relation equivalent relation matrix boolean matrix boolean product |
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