| 中间λCantor集Hausdorff测度的简便计算 |
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| 引用本文： | 胡晓梅. 中间λCantor集Hausdorff测度的简便计算[J]. 佳木斯工学院学报, 2010, 0(3): 464-465 |
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| 作者姓名： | 胡晓梅 |
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| 作者单位： | 咸宁学院数学与统计学院,湖北咸宁437100 |
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| 基金项目： | 咸宁学院科研资助项目（ky09060）. |
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| 摘 要： | 将三分Cantor集构造的一个性质推广到中间λCantor集,并用它简便计算出中间λCantor集的Hausdorff测度,给出了此类广义Cantor集Hausdorff测度计算的一种新方法.该方法比其它方法更为初等而易于计算,为计算其它分形集的Hausdorff测度提供了一种思路.
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| 关 键 词： | 中间λCantor集 Hausdorff测度 k-级基本区间 |
On Calculation of the Hausdorff Measure of A Middle Cantor Sets |
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| Affiliation: | HU Xiao - mei (School of Mathematics and Statistics, Xianning University, Xianning 437100, China) |
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| Abstract: | By means of generalizing one property of Cantor sets to middle A Cantor Sets and applying it to calculate the Hausdorff measure of middle A Cantor Sets , this paper presented a new method of calculating Hausdorff measure of the class of generalized Cantor sets. Compared with other methods, this method can be more conveniently calculated with elementary knowledge, throwing light on the calculation of ttausdorff measure of other Cantor sets. |
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| Keywords: | middle A cantor sets Hausdorff measure k - basic interval |
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