云南高校图书馆联盟文献共享服务平台- HAUSDORFF

HAUSDORFF: 作品数：341被引量：546H指数：13; 导出分析报告; 相关领域：理学自动化与计算机技术更多>>; 相关作者：王国俊陶双平任转喜高贵连李明忠更多>>; 相关机构：浙江师范大学武汉大学陕西师范大学四川大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金陕西省自然科学基金浙江省自然科学基金国家教育部博士点基金更多>>

Hausdorff centered measure of certain linear Cantor sets被引量：4: 《Progress in Natural Science:Materials International》2005年第4期297-303,共7页PENGLi WUMin; SupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .10 1710 2 8)andMorningsideCenterofMathematics; In this paper, we study the Hausdorff centered measure of certain linear Cantor sets. We establish the relationship between the Hausdorff centered measure of this set and the maximum centered density of the correspond...; 关键词：Hausdorff centered measure packing measure Cantor set

Uniform attractors of non-autonomous dissipative semilinear wave equations: 《Progress in Natural Science:Materials International》2003年第2期100-108,共9页LIKaitai ZHAOChunshan; Supported by the Major State Basic Research Development Program of China (G1999032801);the National Natural Science Foundation of China (Grant Nos. 10001028, 10101020); The asymptotic long time behaviors of a certain type of non-autonomous dissipative semilinear wave equations are studied. The existence of uniform attractors is proved and their upper bounds for both Hausdorff and Fra...; 关键词：semilinear wave equations uniform attractor Hausdorff and Fractal dimensions.

Hausdorff dimensions of level sets of generalized Rademacher series: 《Progress in Natural Science:Materials International》2001年第7期72-78,共7页奚李峰吴敏; Project supported by the National Natural Science Foundation of China (Grant No. 19771031), Doctoral Foundation of Ningbo and Morningside Center of Mathematics(Beijing).; sequence of complex numbers such that limConsidering the generalized complex valued Rademacher seriesand its level setswe prove that dimH Ea = 1 for anywhere dimH is the Hausdorff dimension.; 关键词：HAUSDORFF DIMENSION level SET Rademacher series.

Moran sets in complete metric space: 《Progress in Natural Science:Materials International》2000年第11期21-27,共7页瞿成勤苏维宜许勇; Project supported by the National Climbing Project (Grant No. 92101090).; The Hausdorff dimensions and packing dimensions of Moran sets in the (C, s)-homogeneous space are presented, which generalizes the results of Hua and Rao.; 关键词：(C s)-homogeneous space MORAN set HAUSDORFF DIMENSION PACKING dimension.

The upper estimate and conjecture on Hausdorff measure of Sierpinski gasket被引量：1: 《Progress in Natural Science:Materials International》1999年第11期13-20,共8页王兴华; Project jointly supported by the National 973 Fundamental Research Project of China (Granted No. 85-2);the Natrural Science Foundation of Zhejiang Province (Granted No. 197047); For a binary decimal x with n bits, the pre-fracial of the level n + 1 of Sierpinski gasket S can be partially covered by a curved nonagon with the diameter 1 - x/2. The number of the small iriangles which are not com...; 关键词：SIERPINSKI GASKET HAUSDORFF measure symmetry curved nonagon binary decimal

On three open questions proposed by Falconer: 《Progress in Natural Science:Materials International》1999年第3期21-29,共9页梁金荣王晓天任福尧; Project supported by the National Natural Sciece Foundation of China (Grant No 19771023).; The multifractal spectrum of a random self-similar measure is investigated Three questions pro posed by Falconer are answered.; 关键词：statistically SELF-SIMILAR FRACTAL statistically SELF-SIMILAR MEASURE HAUSDORFF dimension.

Self-intersection local time and Hausdorff and packing dimension of k multiple point and k multiple time sets for multi-parameter generalized Wiener processes: 《Progress in Natural Science:Materials International》1998年第5期108-111,共4页徐赐文闫海峰; Project supported by the Postdoctoral Foundation of China.; The self-intersection local time of the multi-parameter generalized Wiener processes was studied. Then the lower bound of Hausdorff measure and the Hausdorff dimension and packing dimension of k multiple time sets, th...; 关键词：GENERALIZED Wiener processes SELF-INTERSECTION local TIME MULTIPLE points HAUSDORFF DIMENSION packing dimension.

Hausdorff measures of Koch curve and Sierpinski gasket被引量：1: 《Progress in Natural Science:Materials International》1997年第4期19-24,共6页周作领; Project supported by the Foundation for the Advanced Research Centre of Zhongshan University;the Foundation of Guangdong Province.; There exist two conjectures on the Hausdorff measures of Koch curve and Sierpinski gasket. The present work supports one of them and negates the other.; 关键词：Koch CURVE SIERPINSKI GASKET HAUSDORFF diemsnion and measure.

The net measure properties of symmetric Cantor sets and their applications被引量：3: 《Progress in Natural Science:Materials International》1997年第2期46-52,共7页丰德军饶辉吴军; Project supported by the National Natural Science Foundation of China.; The equivalence between Hausdorff measure induced by natural covering net and Hausdorff measure in usual meaning has been obtained for one-dimensional symmetric Cantor sets. As an application, the Hausdorff dimensions...; 关键词：SYMMETRIC CANTOR SETS net MEASURE HAUSDORFF MEASURE HAUSDORFF dimension.

The Hausdorff dimension of graph of a class of Weierstrass functions: 《Progress in Natural Science:Materials International》1996年第5期37-43,共7页孙道椿文志英; Project supported by the National Natural Science Foundation of China ; the Climbing Plan "Nonlinear Science; Consider the following type of Weierstrass functionswhere . Determine the Hausdorff dimension of graph of the above functions under some weak conditions, which generalizes some known results.; 关键词：WEIERSTRASS function HAUSDORFF DIMENSION fractal.

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