| 一类Sierpinski块的Hausdorff测度 |
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| 引用本文： | 陈应生.一类Sierpinski块的Hausdorff测度[J].华侨大学学报(自然科学版),2009,30(1). |
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| 作者姓名： | 陈应生 |
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| 作者单位： | 华侨大学,数学科学学院,福建,泉州,362021 |
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| 摘 要： | 讨论压缩比为0.25的Sierpinski方块E, 其Hausdorff维数s=1.5>1.利用部分覆盖原理与质量分布原理,证明2.110 654 68≤Hs(E)≤2.191 500 00.
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| 关 键 词： | Sierpinski方块 Hausdorff测度 覆盖 质量分布 |
On the Hausdorff Measure for a Kind of Sierpinski Block |
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| CHEN Ying-sheng.On the Hausdorff Measure for a Kind of Sierpinski Block[J].Journal of Huaqiao University(Natural Science),2009,30(1). |
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| Authors: | CHEN Ying-sheng |
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| Institution: | School of Mathematics Sciences;Huaqiao University;Quanzhou 362021;China |
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| Abstract: | We discuss the Hausdorff measure Hs(E) for the Sierpinski block which comporession ratio is 0.25 and Hausdorff dimension is 1.5 by the principle of partial cover theorem and the distribution theorem.The following result is obtained: 2.110 654 68
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| Keywords: | Sierpinski bolck Hausdorff measure cover mass distribution |
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