| 广义长方形Sierpinski地毯的Hausdorff测度 |
| |
| 引用本文： | 王海,张秦. 广义长方形Sierpinski地毯的Hausdorff测度[J]. 新乡学院学报(自然科学版), 2008, 0(1): 6-8 |
| |
| 作者姓名： | 王海 张秦 |
| |
| 作者单位： | 新乡学院数学系,河南新乡453003 |
| |
| 摘 要： | 利用Sierpinski地毯的自相似结构。得到Hausdorff测度的上界，通过在Sierpinski地毯上定义一个质量分布，利用质量分布原理得到测度的下界，从而得到了所定义的长方形Sierpinski地毯的Hausdorff测度的准确值。
|
| 关 键 词： | 分形 自相似集 Hausdorff测度 Sierpinski地毯 质量分布 |
The Hausdorff Measure of Sierpinski Carpet on Rectangle |
| |
| WANG Hai,ZHANG Qin. The Hausdorff Measure of Sierpinski Carpet on Rectangle[J]. , 2008, 0(1): 6-8 |
| |
| Authors: | WANG Hai ZHANG Qin |
| |
| Affiliation: | (Maths of Department Xinxiang University, Xinxiang 453003,China) |
| |
| Abstract: | This paper takes use of self-similarity construction of Sierpinski carpet, the supper boundary of the Hausdorff measure is obtained. By defining mass distribution on Sierpinski carpet, the inferior boundary is given according to the principle of mass distribution. Therefore the exact value of the Hausdorff measure is determined. |
| |
| Keywords: | fractal self-similarity set hausdorff measure sierpinski carpet mass distribution |
| 本文献已被 维普 等数据库收录！ |
