| 集合的四种基本运算之间的独立性 |
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| 引用本文： | 齐登记. 集合的四种基本运算之间的独立性[J]. 哈尔滨师范大学自然科学学报, 2005, 21(1): 23-24 |
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| 作者姓名： | 齐登记 |
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| 作者单位： | 青岛科技大学 |
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| 摘 要： | 集合有并、交、差、对称差四种基本运算．证明了这四种基本运算不是相互独立的，可以把并、差两种运算(或对称差、差两种运算，或对称差、并两种运算，或对称差、交两种运算)作为两个相互独立的基本运算，其余两种运算可由这两种运算定义。
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| 关 键 词： | 集合 运算 集族 封闭 |
| 修稿时间： | 2004-05-27 |
INDEPENDENT OF FOUR OPERATIONS OF SET |
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| Qi Dengji. INDEPENDENT OF FOUR OPERATIONS OF SET[J]. Natural Science Journal of Harbin Normal University, 2005, 21(1): 23-24 |
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| Authors: | Qi Dengji |
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| Affiliation: | Qingdao University of Science and Technology |
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| Abstract: | Set has four basic operations:union,intersection,difference and symmetry difference. It is proved that the four basic operations are not independent, and that Union and intersection(or symmetry difference and difference, or symmetry difference and union , or symmetry difference and intersection) can be regarded as two independent basic operations ,thus the rest can being defined with the two operations. |
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| Keywords: | Set Operation Collections Close |
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