| 三-自相似集的一种分类及其解析表达 |
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| 引用本文： | 钟世萍,杨光俊. 三-自相似集的一种分类及其解析表达[J]. 东莞理工学院学报, 2014, 0(5): 1-7 |
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| 作者姓名： | 钟世萍 杨光俊 |
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| 作者单位： | 云南大学 数学系,昆明,650091 |
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| 摘 要： | 主要考虑三个自相似压缩所得到的三-自相似集。从泛函方程的角度上,将三-自相似集分成四类,并利用小数进位制展开的方法,得到各种情形的一种解析表达。
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| 关 键 词： | 泛函方程 3进位制展开 自相似集 |
A Classification of Ternary Self-similar Set and Theirs Analytical Representation |
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| ZHONG Shi-ping,YANG Guang-jun. A Classification of Ternary Self-similar Set and Theirs Analytical Representation[J]. Journal of Dongguan Institute of Technology, 2014, 0(5): 1-7 |
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| Authors: | ZHONG Shi-ping YANG Guang-jun |
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| Affiliation: | (Department of Mathematics, Yunnan University, Kunming 650091, China) |
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| Abstract: | In this paper,we classify ternary self-similar sets,which are compact sets determined by three contractions,into four classes from the viewpoint of functional equations. By using ternary representation,we obtain an analytical representation of all kinds of situations. |
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| Keywords: | functional equations ternary representation self-similar set |
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