Hausdorff dimension

Meaning

Noun

  • 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.

Related

Broader meaning words

Origin

  • Introduced in 1918 by mathematician Felix Hausdorff.

Modern English dictionary

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