| 魔鬼阶梯的Hausdorff测度与Hausdorff维数 |
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| 引用本文： | 连丹青.魔鬼阶梯的Hausdorff测度与Hausdorff维数[J].湖北民族学院学报(哲学社会科学版),2009,27(2). |
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| 作者姓名： | 连丹青 |
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| 作者单位： | 湖北民族学院理学院,湖北恩施,445000
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| 摘 要： | 在分形几何中,Hausdorff测度与雏数是基本概念,结合Hausdorff测度与雏数的计算,研究了一种特殊的集合-魔鬼阶梯,给出了其Hausdorff测度与Hausdorf维数,并在此基础上将所得的结论进行了推广.
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| 关 键 词： | 魔鬼阶梯 Hausdorff测度 Hausdorff雏数 |
Hausdorff Measure and Hausdorff Dimension in Devil Stair |
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| LIAN Dan-qing.Hausdorff Measure and Hausdorff Dimension in Devil Stair[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2009,27(2). |
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| Authors: | LIAN Dan-qing |
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| Institution: | School of Science;Hubei University for Nationalities;Enshi 445000;China |
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| Abstract: | In fractal geometry,Hausdorff measure and Hausdorff dimension are basical concepts,we study a special set-devil stair and offer its Hausdorff measure and Hausdorff dimension,and then we generalize the result to more general sets. |
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| Keywords: | devil stair Hausdorff measure Hausdorff dimension |
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