Rongfei Xu
Abstract
The exact computation of Hausdorff measure of a class of self-similar sets on the plane is deal with.Under some condition,the natural covering is the best one,and the Hausdorff measure of those sets are equal to1+a2s,where s is its Hausdorff dimension.
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The exact computation of Hausdorff measure of a class of self-similar sets on the plane is deal with.Under some condition,the natural covering is the best one,and the Hausdorff measure of those sets are equal to1+a2s,where s is its Hausdorff dimension.
Key concepts: Hausdorff measure, Hausdorff dimension, Sierpinski carpet, Outer measure, Mathematics, Urysohn and completely Hausdorff spaces, Measure (data warehouse), Hausdorff distance