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《Pure and Applied Mathematics》 2003-03
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An elementary proof for the Hausdorff measure of some Sierpinski carpets

WU Jiongqi (Department of Math.,Zhangzhou Teachers College, Zhangzhou 363000,China)  
Based on the Mrightpolygon with the diameter d0 and an integer M≥3, a kind of generalized Sierpinski carpets with a contract radio 1∶k(k≥M is a real number) is constructed, and its Hausdorff measure is proved to be ds, where s=logkM.
【Key Words】: fractal Sierpinski carpet Hausdorff measure
【Fund】: 国家自然科学基金资助课题(19871068);; 福建省自然科学基金资助课题(F00018).
【CateGory Index】: O189.3
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