Box dimension and Hausdorff dimension of Uniform Cantor Set
Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.9, No. 3)Publication Date: 2020-05-31
Authors : K. J. Shinde; S. M. Padhye;
Page : 31-38
Keywords : Box Dimension; Cantor Set; Hausdorff Dimension;
Abstract
The properties of uniform Cantor sets are proved and determined that Cantor ternary sets Cantor – set, Cantor – set, Cantor – set, Cantor – set, Cantor – set, Cantor – set are uniform Cantor sets by using the definition of uniform Cantor set. Also, determined box dimension and Hausdorff dimension of uniform Cantor set as well as Cantor like sets
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