‘方形花状’分形集的Hausdorff测度  

Hausdorff Measure of 'Square Flower' Fractal Set

作　　者：金艳玲[1] 魏毅强[2] 

机构地区：[1]山西大学商务学院理学系,太原030031 [2]太原理工大学数学系,太原030024

出　　处：《太原科技大学学报》2011年第4期320-323,共4页Journal of Taiyuan University of Science and Technology

基　　金：山西省社科联项目(SSKLZDKT2010057)

摘　　要：构造了一种特殊的自相似分形集"方形花状"分形集,并利用质量分布原理与该分形集的几何性质,讨论了它的Hausdorff测度,给出Hausdorff测度的估计式。A class of fractal set by the name of ＇square flower＇ was constructed,its geometric properties and mass distribution principle were used to discuss its Hausdorff measure and the estimated expression of this set was given.

关 键 词：分形集 HAUSDORFF测度 自相似集 

分 类 号：O174.12[理学—数学]