| 释义 |
Hausdorff dimension Hausdorff dimension is a form of fractal dimension. Hausdorff measure ℋs is defined for each s>0 positive; when s is an integer, ℋs is a scalar multiple of Lebesgue measure ℒs. For any metric space X, there is a real number d such that ℋs (X) = ∞ for sd. The number d is the Hausdorff dimension of X. For a compact metric space, it is always at least the topological dimension.
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