数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2002年
1期
11-20
,共10页
m-方体%sm-方体%预不交%离散填充维数%Z-集%胖集
m-方體%sm-方體%預不交%離散填充維數%Z-集%胖集
m-방체%sm-방체%예불교%리산전충유수%Z-집%반집
m-cube%sm-cube%predisjoint%discrete packing dimension%Z-set%fat-set
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ARd和任意正整数m, dim(m)p(A)=dim(m)p(A)=dim(m)p)(A)=dim(m)p(φ(A))＝dim(m)p(φ(A))＝dim(2)p(φ(A)).
本文定義瞭Rd中無界集閤上的幾種離散填充指標,併得到瞭若榦性質.特彆地,對任意給定的非空集閤ARd和任意正整數m, dim(m)p(A)=dim(m)p(A)=dim(m)p)(A)=dim(m)p(φ(A))＝dim(m)p(φ(A))＝dim(2)p(φ(A)).
본문정의료Rd중무계집합상적궤충리산전충지표,병득도료약간성질.특별지,대임의급정적비공집합ARd화임의정정수m, dim(m)p(A)=dim(m)p(A)=dim(m)p)(A)=dim(m)p(φ(A))＝dim(m)p(φ(A))＝dim(2)p(φ(A)).
In this paper several discrete packing dimensions of unbounded subsets in Rd are
defined. Some properties are obtained. Especially, for any given nonempty subset Ard, we
prove that -dim(m) (A) ＝ dim(m)p (A) ＝ dim(m)p ( ) ＝- dim(m)p (φ(A)) ＝ dim(m)p (φ (A)) ＝ dim(2) (φ (A))for any given positive integer m.
