Juan Liu, Shaoyuan Xu
Abstract
In this paper we prove that for the Hausdorff measure of the Cartesian product of the middle third Cantor set with itself, the following estimation H(superscript log(subscript 3)4)(C×C)≤1.495901 has been obtained. As result of it, we improve the corresponding result.
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In this paper we prove that for the Hausdorff measure of the Cartesian product of the middle third Cantor set with itself, the following estimation H(superscript log(subscript 3)4)(C×C)≤1.495901 has been obtained. As result of it, we improve the corresponding result.
Key concepts: Cartesian product, Hausdorff measure, Cantor set, Measure (data warehouse), Mathematics, Hausdorff space, Product (mathematics), Set (abstract data type)