| Hausdorff测度的计算与估计 |
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| 引用本文： | 周作领,冯力. Hausdorff测度的计算与估计[J]. 中山大学学报(自然科学版), 1999, 38(5): 1-3 |
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| 作者姓名： | 周作领 冯力 |
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| 作者单位： | 中山大学岭南(大学)学院!广州510275，DartonCollege!Albany，CA31707，USA |
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| 摘 要： | 把计算Ｈａｕｓｄｏｒｆｆ 测度转化成极限过程， 对一般分形得到１ 个一般模型， 而对自相似集则得到１ 个约化模型． 作为应用， 得到Ｓｉｅｒｐｉｎｓｋｉ 垫片的Ｈａｕｓｄｏｒｆｆ 测度的较好上限
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| 关 键 词： | 分形 自相似集 Hausdorff维数与测度 Sierpinski垫片 |
Computation and Estimation of the Hausdorff Measure |
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| ZHOU Zuo lingLingnan College,Zhongshan University,Guangzhou ,China,FENG Li. Computation and Estimation of the Hausdorff Measure[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1999, 38(5): 1-3 |
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| Authors: | ZHOU Zuo lingLingnan College Zhongshan University Guangzhou China FENG Li |
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| Affiliation: | ZHOU Zuo lingLingnan College,Zhongshan University,Guangzhou 510275,China,FENG Li |
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| Abstract: | In order to count the Hausdorff measure,a computation formula for the general fractals and a reduced one for the self similar sets satisfying the open set condition are obtained.As an application,a better upper limit to the Hausdorff measure of the Sierpinski gasket is achieved. |
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| Keywords: | fractal self similar set Hausdorff dimension and measure Sierpinski gasket |
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