| 关于三分Cantor集的结构的一些新结论 |
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| 引用本文： | 程值军,崔嵩,张璐. 关于三分Cantor集的结构的一些新结论[J]. 榆林高等专科学校学报, 2009, 19(4): 23-25 |
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| 作者姓名： | 程值军 崔嵩 张璐 |
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| 作者单位： | 延安大学,西安创新学院理工系,陕西,西安,710100 |
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| 摘 要： | 旨在采用代数的方法来研究三分Cantor集的结构特点。主要结果除了给出三分Cantor集的代数构造外还定义了仿四进位；结合代数构造、拓扑构造以及仿四进位分别给出并证明了三分Cantor集及其余集的结构公式，从而改进了已有的结论。
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| 关 键 词： | 三分Cantor集 三进位表数法 仿四进位 结构公式 |
Some New Conclusions on the Structure of Cantor Trisection Set |
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| CHENG Zhi -jun,CUI Song,ZHANG Lu. Some New Conclusions on the Structure of Cantor Trisection Set[J]. Journal of Yulin College, 2009, 19(4): 23-25 |
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| Authors: | CHENG Zhi -jun CUI Song ZHANG Lu |
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| Affiliation: | ( Department of Technology, Xi＇ an Innovation Institute of Yan＇ an University Xi＇ an 710100) |
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| Abstract: | In this paper, we＇ll investigate the features on the structure of Cantor trisection set by algebraic method. The main results include the definition of Similar Quadinary On the other hand, we not only obtained the structural set but also proved these conclusions. Therefore, some and the algebraic construction of Cantor trisection set. formula of both Cantor trisection set and its complementary existent conclusions to be improved. |
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| Keywords: | cantor trisection set ternary representation similar quadinary structural formula |
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