| 一类直线上自相似集的相似压缩不动点的分布 |
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| 引用本文： | 刘静,孙善辉.一类直线上自相似集的相似压缩不动点的分布[J].大学数学,2011,27(3):66-69. |
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| 作者姓名： | 刘静 孙善辉 |
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| 作者单位： | 宿州学院,数学与统计学院,安徽,宿州,234000 |
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| 基金项目： | 宿州学院自然科学研究项目(2009y2k262009y2k27) |
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| 摘 要： | 先构造了一类直线上的自相似集,研究了它的相似压缩不动点的坐标公式.作为推论我们给出了三分Cantor集相似压缩不动点的坐标公式,从而首次发现了它的相似压缩不动点的分布规律.
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| 关 键 词： | 相似压缩不动点 三分cantor集 坐标公式 |
The Exploration of the Contracting-similarity Fixed Points for a Kind of Self-similar Fractal on Straight line |
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| LIU Jing,SUN Shan-hui.The Exploration of the Contracting-similarity Fixed Points for a Kind of Self-similar Fractal on Straight line[J].College Mathematics,2011,27(3):66-69. |
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| Authors: | LIU Jing SUN Shan-hui |
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| Institution: | LIU Jing,SUN Shan-hui(Department of Mathematics,Suzhou College,Suzhou,Anhui 234000,China) |
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| Abstract: | We construct a kind of self-similar fractal E* on straight line firstly,then we research the coordinate formula for the contracting-similarity fixed points of E*.As an application,we get the coordinate formula for contracting-similarity fixed points of the middle third Cantor set,so the distribution of the middle third Cantor set is found for the first time. |
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| Keywords: | contracting-similarity fixed points middle third Cantor set coordinate formula |
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