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| 类切饼集的测度维数 | |
| 引用本文： | 王怡,吴亚豪,王小华,王登云.类切饼集的测度维数[J].数学杂志,2006,26(6):591-596. |
| 作者姓名： | 王怡 吴亚豪 王小华 王登云 |
| 作者单位： | 1. 中南财经政法大学信息学院,湖北武汉,430073 2. 北京理工大学珠海学院数学系,广东珠海,519085 3. 湖北大学数学与计算机科学学院,湖北武汉,430062 4. 武汉大学数学与统计学院,湖北武汉,430072 |
| 基金项目： | Supported by the Special Founds for Major ,State Basic Research Prejects . |
| 摘 要： | 本文考虑了满足一定条件的类切饼集,主要利用密度定理,获得其Hausdorff测度和填充测度是等价的.同时,给出这类类切饼集维数和测度的统计解释. |
| 关 键 词： | 测度维数 类切饼集 |
| 文章编号： | 0255-7797（2006）06-0591-06 |
| 收稿时间： | 2005-03-01 |
| 修稿时间： | 2005-03-012005-07-01 |
DIMENSIONS OF MEASURES ON COOKIE-CUTTER-LIKE SETS |
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| WANG Yi,WU Ya-hao,DENG Guo-tai,WANG Deng-yun.DIMENSIONS OF MEASURES ON COOKIE-CUTTER-LIKE SETS[J].Journal of Mathematics,2006,26(6):591-596. | |
| Authors: | WANG Yi WU Ya-hao DENG Guo-tai WANG Deng-yun |
| Institution: | 1. School of Information, Zhongnan University of Economics and Law, Wuhan 430073, China;2. Dept. of Math. Zhuhai Campus, Beijing Institute of Technology, Zhuhai 519085, China;3. School of Math. and Computer, Hubei University, Wuhan 430062, China;4. School o f Math. and Statistics.Wuhan Universitv . Wuhan 430072. China |
| Abstract: | In this paper,we investigate a class of cookie-cutter-like(CCL) sets. Using the density theory ,we find their corresponding measures are equivalent. And what's more,we give some statistical interpretation on their dimensions and measures. |
| Keywords: | dimension of a measure CCL set |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |