简介：LetFλ={x∈(0,1){2nx}≥1/2k,n∈z+},z++={0,1,2,3,...},k∈N;F=U∞k=1Fλbeadecimalsetin(0,1),where{2nx}isthefractionalpartofanumber2nx.Inthisnote,weprovethatdirnнF=1andН1(F)=0,wheredimнisHausdroffdimension,andН1(F)istheHausdorffmeasureofF.
DECIMAL SET WITH ZERO MEASURE AND FULL HAUSDORFF DIMENSION
