三维欧氏空间中一类Cantor尘的Hausdorff测度的初等证明  

An Elementary Proof for Hausdorff Measure of A Kind of Cantor Dust in R^3

作　　者：杜兴华[1] 刘成仕[1] 

机构地区：[1]大庆石油学院数学系,黑龙江大庆163318

出　　处：《数学的实践与认识》2005年第7期220-223,共4页Mathematics in Practice and Theory

摘　　要：用相当简洁和初等的办法给出了三维欧氏空间中一类Cantor尘Hausdorff测度的精确值,这也可看作已有结果的另一证明.An simple method is used to give the Hausdorff measure for a kind of Cantor dust in R^3. It is regarded as an another proof for the results known.

关 键 词：三维欧氏空间 CANTOR尘 HAUSDORFF测度 分形 

分 类 号：O174.12[理学—数学]