English Explanatory Dictionary

Hausdorff dimension

English dictionary entry

Meanings

noun
  1. 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.

Word forms

Hausdorff dimension Hausdorff dimensions

Etymology

Introduced in 1918 by mathematician Felix Hausdorff.

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