| ‘方形花状’分形集的Hausdorff测度 |
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| 引用本文： | 金艳玲,魏毅强.‘方形花状’分形集的Hausdorff测度[J].太原科技大学学报,2011,32(4):320-323. |
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| 作者姓名： | 金艳玲 魏毅强 |
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| 作者单位： | 1. 山西大学商务学院理学系,太原,030031
2. 太原理工大学数学系,太原,030024 |
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| 基金项目： | 山西省社科联项目(SSKLZDKT2010057) |
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| 摘 要： | 构造了一种特殊的自相似分形集"方形花状"分形集,并利用质量分布原理与该分形集的几何性质,讨论了它的Hausdorff测度,给出Hausdorff测度的估计式。
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| 关 键 词： | 分形集 Hausdorff测度 自相似集 |
Hausdorff Measure of 'Square Flower' Fractal Set |
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| JIN Yan-ling,WEI Yi-qiang.Hausdorff Measure of 'Square Flower' Fractal Set[J].Journal of Taiyuan University of Science and Technology,2011,32(4):320-323. |
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| Authors: | JIN Yan-ling WEI Yi-qiang |
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| Institution: | JIN Yan-ling,WEI Yi-qiang(1.Department of Mathematics,Business College of Shanxi University,Taiyuan 030031,China,2.Department of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China) |
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| Abstract: | A class of fractal set by the name of 'square flower' was constructed,its geometric properties and mass distribution principle were used to discuss its Hausdorff measure and the estimated expression of this set was given. |
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| Keywords: | fractal Hausdorff measure self-similar set |
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