高等学校计算数学学报(英文版)
高等學校計算數學學報(英文版)
고등학교계산수학학보(영문판)
NUMERICAL MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES
2004年
1期
106-115
,共10页
Hausdr off Dimension%Recursive Graph Set%Eigenvalues
LetFλ ={x∈ (0,1){2nx} ≥1/2k,n∈ z+}, z++ = {0,1,2,3,...}, k∈ N;F = U∞k=1Fλ be a decimal set in (0, 1), where {2nx} is the fractional part of a number 2nx. In this note, we prove that dirnнF = 1 and Н1(F) = 0, where dimн is Hausdr off dimension, and Н1(F) is the Hausdorff measure of F.