摘要
本文定义了 Rd 中无界集合上的几种离散填充指标 ,并得到了若干性质 .特别地 ,对任意给定的非空集合 A Rd 和任意正整数 m,dim( m )P (A) =d* im( m )P (A) =d～ im( m )P (A) =d～ im( m )P ((A) ) =dim( m )P ((A) ) =dim( 2 )P ((A) ) .
In this paper several discrete packing dimensions of unbounded subsets in R d are defined. Some properties are obtained. Especially, for any given nonempty subset AR d, we prove that dim (m) P(A)=d*im (m) P(A)= d～im (m) P(?)= d～im (m) P((A))=dim (m) P((A))=dim (2) P((A)) for any given positive integer m.
出处
《数学杂志》
CSCD
北大核心
2002年第1期11-20,共10页
Journal of Mathematics
基金
the National Natural Sciecen Foundation of China
Supported byBeijing Natureal Science Foundation (1 982 0 0 4)
