| 一类推广的Cantor集的Hausdorff测度 |
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| 引用本文： | 卢勇,贾保国.一类推广的Cantor集的Hausdorff测度[J].中山大学学报(自然科学版),1999,38(2):14-18. |
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| 作者姓名： | 卢勇 贾保国 |
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| 作者单位： | 西江大学数学系(卢勇)，中山大学物理学系(贾保国) |
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| 摘 要： | 利用Ｈａｕｓｄｏｒｆ测度的定义和１个新技巧证明了一类推广的Ｃａｎｔｏｒ集Ｅ的Ｈａｕｓｄｏｒｆ测度为１．进而得到更广泛的一类推广Ｃａｎｔｏｒ集Ｆ的Ｈａｕｓｄｏｒｆ测度的精确值
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| 关 键 词： | 推广Cantor集 Hausdorff维数 Hausdorff测度 |
The Hausdorff Measure of the Extending Cantor Sets |
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| LU Yong,JIA Bao guo.The Hausdorff Measure of the Extending Cantor Sets[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,1999,38(2):14-18. |
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| Authors: | LU Yong JIA Bao guo |
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| Abstract: | By using the definition of Hausdorff measure and a new idea, the Hausdorff measure of the extending Cantor set E defined is shown to be one. Furthermore, a computational formula of the Hausdorff measure of another extending Cantor set F defined in the paper is given. |
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| Keywords: | extending Cantor set Hausdorff dimension Hausdorff measure |
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