Cantor尘的Minkowski容度  

The Minkowski Content of Cantor Dust

作　　者：曾宇[1] 

机构地区：[1]湖北工业大学理学院,湖北武汉430068

出　　处：《湖北工业大学学报》2006年第1期83-86,共4页Journal of Hubei University of Technology

摘　　要：研究了Cantor尘的Minkowski容度.分别求出了Cantor尘的上,下Minkowski容度的一个比较好的估计式,进而得知它的上,下Minkowski容度不相等,即它的Minkowski容度不存在.用一种新的方法解决了它不是Minkowski可测.The present research studied the Minkowski content of Cantor dust. Good evaluation formulae of the upper Minkowski content and lower Minkowski content were obtained respectively. It was found that the upper Minkowski content wasn＇t equal to the lower Minkowski content. That is, its Minkowski content didn＇t exist. A new solution is used.

关 键 词：MINKOWSKI容度 Minkowski可测 CANTOR尘 

分 类 号：O174[理学—数学]