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Definition of Hausdorff dimension
1. Noun. (analysis) A type of fractal dimension, a real-valued measure of a geometric object that assigns 1 to a line segment, 2 to a square and 3 to a cube. Formally, given a metric space ''X'' and a subset of ''X'' labeled ''S'', the Hausdorff dimension of ''S'' is the infimum of all real-valued ''d'' for which the ''d''-dimensional Hausdorff content of ''S'' is zero. ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Hausdorff Dimension
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