2012•Hainan Daxue xuebao. Ziran kexue banRequires access

Hausdorff Dimension of the Generalized Mc Mullen Sets on the Plane

Long Lun-hai

Abstract

In our report,the extend form of Mc Mullen sets on the plane was analyzed,and the Hausdorff dimension and Box dimension were obtained.As its application,the accordingly Hausdorff dimension and Box dimension of the modified Mc Mullen sets were discussed,and the calculation formulas of its Hausdorff dimension and Box dimension were obtained.

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Key concepts: Hausdorff dimension, Packing dimension, Effective dimension, Dimension function, Minkowski–Bouligand dimension, Mathematics, Inductive dimension, Dimension (graph theory)