| 一类自仿射集豪斯道夫维数的估计 |
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| 引用本文： | 王飞,杨冰涛.一类自仿射集豪斯道夫维数的估计[J].山西师范大学学报,2013(3):17-20. |
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| 作者姓名： | 王飞 杨冰涛 |
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| 作者单位： | [1]长治学院数学系,山西长治046011 [2]高唐第二中学,山东高唐252800 |
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| 基金项目： | 山西省大学生创新性实验项目（2011361）; 长治学院科研项目（201216） |
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| 摘 要： | 文献1,2]介绍了自相似迭代函数系的有限型条件,并在此条件下得到了计算自相似集维数的方法.本文试图将此条件引入自仿射迭代函数系中,对满足一定条件的自仿射集的维数进行估计.
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| 关 键 词： | 开集条件 有限型条件 自仿射集 豪斯道夫维数 |
Estimating the Hausdorff Dimension of a Class of Self-affine Sets |
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| WANG Fei,YANG Bing-tao.Estimating the Hausdorff Dimension of a Class of Self-affine Sets[J].Journal of Shanxi Teachers University,2013(3):17-20. |
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| Authors: | WANG Fei YANG Bing-tao |
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| Institution: | 1. Department of Mathematics, Changzhi College, Changzhi 046011, Shanxci, China 2. Gaotang No. 2 Middle School, C, aotang 252800, Shandong , China) |
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| Abstract: | Literatures 1,2 ] introduce the notion of finite type condition , and describe a scheme for compu- ting the dimension of self-similar sets,we try to introduce the finite type condition in self-affine iterated function systems .and investigate the dimension of a class of the self-affine sets. |
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| Keywords: | open set condition finite type condition self-affine sets hausdorff dimension |
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