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Cantor尘的Hausdorff测度估计

THE ESTIMATION OF HAUSDORFF MEASURE OF CANTOR DUST
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摘要 Cantor dust is a classical fractal set. It is very important to compute its Haus-dorff measure. In this paper, we obtained the expression and approximation ofHausdorff measure of Cantor dust through the analysis of interpolation function ofa certain of mass distribution defined on Cantor dust. Cantor dust is a classical fractal set. It is very important to compute its Haus-dorff measure. In this paper, we obtained the expression and approximation of Hausdorff measure of Cantor dust through the analysis of interpolation function of a certain of mass distribution defined on Cantor dust.
出处 《计算数学》 CSCD 北大核心 2002年第3期265-272,共8页 Mathematica Numerica Sinica
基金 国家自然科学基金资助项目(No.10071060).
关键词 分形 CANTOR尘 HAUSDORFF维数 Hausdorff测度估计 分形维数估计 fractal,Sierpinski carpet,Hausdorff dimension and measure
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