The Proof of the Sufficient and Necessary Conditions which Make the Hausdorff Measure of the Generalized Non-uniform Cantor Set'exist

纸基于重复(1 ) 在获得接替概括不一致的领唱者集合的一个班：Si (x)=aix + 双性人， x [0,1 ] ， i = 1,2，， m 0ai1， i=1， 2，， m；双性人 + ai0， i = 1,2，， m-1， b1=0 并且是 + bm = 1。提供它的存在 Hausdorff 措施的足够、必要的条件。

The paper succeeds in the obtaining a class of generalized non-uniform Cantor set based on the iteration （1）： Si（x） = αix ＋ bi, x ∈ [0, 1], i = 1,2,…, m, where 0 〈 αi 〈 1, i = 1,2,…,m; bi ＋ αi 〉 0, i = 1,2,…,m- 1, b1 = 0 and αm ＋ bm = 1. Providing the sufficient and necessary conditions of its existence Hausdorff measure.