Hausdorff dimensions

A form of Hausdorff dimension — 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.

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Meanings

noun
  1. pluralplural of Hausdorff dimension
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APA

Hausdorff dimensions. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Hausdorff%20dimensions

MLA

“Hausdorff dimensions.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hausdorff%20dimensions. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hausdorff dimensions,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Hausdorff%20dimensions.

Source: Hausdorff dimensions on Wiktionary, CC BY-SA 4.0.