| 多重集合的运算研究与应用 |
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| 引用本文： | 申初连. 多重集合的运算研究与应用[J]. 中南林业科技大学学报(自然科学版), 2007, 27(3): 145-147 |
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| 作者姓名： | 申初连 |
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| 作者单位： | 中南林业科技大学理学院 湖南株洲412006 |
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| 基金项目： | 中南林业科技大学校科研和校改项目 |
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| 摘 要： | 集合是现代数学中最基本的概念之一,并已深入到各种学科和技术领域中.而作为集合概念扩展的多重集合概念,却少有应用.通过对多重集合进行系统研究,提出了多重集合的包含、相等、多重幂集,以及多重集合补集等相关概念和运算,建立了多重集合完善的理论体系,并给出了多重集合在古典概率中的应用.为进一步研究多重集合在各种学科和技术领域中的应用打下了良好的基础.
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| 关 键 词： | 数学 多重集合 重复度 多重幂集 |
| 文章编号： | 1673-923X（2007）03-0145-03 |
| 收稿时间： | 2006-11-20 |
| 修稿时间： | 2006-11-20 |
The Fundamental Operation on the Multi-set and Its Application |
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| SHEN Chu-lian. The Fundamental Operation on the Multi-set and Its Application[J]. , 2007, 27(3): 145-147 |
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| Authors: | SHEN Chu-lian |
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| Abstract: | The set is one of the most basic concepts in modern mathematics,penetrating into in each discipline and the area of technology.But the multi-set which expands as the set is actually seldom applied.Through a systematic research on the multi-set,this paper proposes some correlated concepts and operations of the multi-set involvement,multi-set equality,multiple power set and multiple complementary set.It establishes a basic theory of the multi-set and illustrates its application to classical probability.This theory has laid a good foundation for a further study of the application of the multi-set to each discipline and area of science and technology. |
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| Keywords: | mathematics multi-set multiplicity of multi-set multiple power set |
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