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2006•Gongcheng shuxue xuebaoRequires access

The Necessary and Sufficient Conitions on the Hausdorff Measure of m + 1 Non-uniform Cantor Set

Zeng Chao-yi

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Abstract

We consider a multiple non-uniform Cantor set which is constructed by a linear iterated system, obtain some properties about the set. Presented are also some necessary and sufficient conditions for the Hausdorff measure of m non-uniform Cantor set.

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What this paper is about

We consider a multiple non-uniform Cantor set which is constructed by a linear iterated system, obtain some properties about the set. Presented are also some necessary and sufficient conditions for the Hausdorff measure of m non-uniform Cantor set.

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Available abstract

We consider a multiple non-uniform Cantor set which is constructed by a linear iterated system, obtain some properties about the set. Presented are also some necessary and sufficient conditions for the Hausdorff measure of m non-uniform Cantor set.

Key concepts: Cantor set, Mathematics, Cantor function, Hausdorff measure, Cantor's diagonal argument, Measure (data warehouse), Outer measure, Set (abstract data type)

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