| 有限集合上的划分与覆盖 |
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| 引用本文： | 陈仁荣. 有限集合上的划分与覆盖[J]. 常州工学院学报, 2006, 19(1): 5-8 |
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| 作者姓名： | 陈仁荣 |
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| 作者单位： | 常州市广播电视大学,江苏,常州,213001 |
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| 摘 要： | 关于有限集合上的划分与覆盖,一般很少讨论和研究。本文根据集合的划分与覆盖的定义,利用容斥定理和集合理论,给出了有限集合上的划分与等价关系、完全覆盖与相容关系的关系,以及有限集合上的划分数和完全覆盖数的计算公式。
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| 关 键 词： | 等价关系 相容关系 集合的划分 集合的覆盖 |
| 文章编号： | 1671-0436（2006）01-0005-04 |
| 收稿时间： | 2005-10-10 |
| 修稿时间： | 2005-10-10 |
The Partition and Covering of Finite Set |
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| CHEN Ren-rong. The Partition and Covering of Finite Set[J]. Journal of Changzhou Institute of Technology, 2006, 19(1): 5-8 |
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| Authors: | CHEN Ren-rong |
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| Affiliation: | Changzhou Collegc of Broadcast and Television, Chingzhou, Jiangsu 213001 |
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| Abstract: | Generally speaking,there are few profound discussion and research on the partition and covering of finite set.According to the partition of set and the definition of covering,this article which takes advantages of the admissible and repelling law and the set theories indicates the relationship of partition and equality,special-covering and admission and the accounting formula of partition numerals and special-covering numerals. |
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| Keywords: | equivalent relation admissible relation the partition of set the covering of set |
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