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1.4.4 The Hausdorff Measure

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The Hausdorff degree of a self-affine set ought be either 0 or ∞. Assume the number set d has non-uniform parallel fibers and let γ = dim (K (d), then Hγ (K(d)) = ∞.

In addition, K (d) is not generally s-bounded for Hγ. Since the intersections of K (d) with the d square shapes of the original are interprets of each other and t. The Hausdorff measure Hγ is interpretation invariant, its constraint to K (d) should distribute all these square shapes a comparative measure. Note the assessment with the self-similar sets which have effective and definite Hausdorff estimate in their measurements, increasingly exact data can be communicated utilizing measure capacities.

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Mathematics in Computational Science and Engineering

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