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What is Dynamical 15 about?

The Hausdorff dimension of a set F is defined as the infimum of s such that the s-dimensional Hausdorff measure Hs(F) equals 0 and the supremum of s such that Hs(F) equals infinity. It is established that if E is a subset of F, then the Hausdorff dimension of E is less than or equal to that of F. The theorem demonstrates the monotonicity property of Hausdorff dimension in relation to subset inclusion.

Author

loknathdas9957

Language

EN