同心圆靶的计盒维数

ON BOX-COUNTING DIMENSION OF CONCENTRIC CIRCLES TARGET

本文讨论了以严格递减的正数列 { rn}为半径的同心圆靶 E和将 E的间隔按从大到小的顺序重排后得到新的同心圆靶 F的计盒维数的关系 ,证明了 E的计盒维数不小于 F的计盒维数 ,且举例说明了不等式可严格成立 .

This article deals with the sequence of positive numbers strictly decreasing to the concentric cirles target E in the radius{r n}. It also discusses the box-counting dimension relation of another concentric circles target F according to the distance between the jump of concentric cirles of E decreasing. It has proved that the box-counting dimension of E is not less than the box-counting dimension of F by elaborating that the unequal formula can be tenable with some examples.