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bn:00636853n
Noun Concept
Categories: Dimension theory, Metric geometry, All articles needing additional references, Fractals, Articles with short description
EN
Hausdorff dimension  Besicovitch - Hausdorff dimension  capacity dimension  Hausdorff-Besicovitch dimension  Hausdorff-Besikovitch dimension
EN
In mathematics, Hausdorff dimension is a measure of roughness, or more specifically, fractal dimension, that was introduced in 1918 by mathematician Felix Hausdorff. Wikipedia
Definitions
Examples
Relations
Sources
EN
In mathematics, Hausdorff dimension is a measure of roughness, or more specifically, fractal dimension, that was introduced in 1918 by mathematician Felix Hausdorff. Wikipedia
A measure theoretic concept of dimension Wikipedia Disambiguation
An extended non-negative real number associated with any metric space that generalizes the notion of the dimension of a real vector space Wikipedia Disambiguation
Invariant Wikidata
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. Wiktionary
Type of fractal dimension. Wiktionary (translation)
EN
If S is nonempty then if the d -dimensional Hausdorff content of S is zero then d is larger than the Hausdorff dimension of S , and if the d -dimensional Hausdorff content of S is infinite then d is smaller or equal to the Hausdorff dimension of S . If the d -dimensional Hausdorff content of S is finite and positive then d is equal to the Hausdorff dimension of S . Wiktionary
IS A
invariant
dimension
NAMED AFTER
Felix Hausdorff
USES
Hausdorff measure
Wikipedia
EN
Hausdorff dimension
Wikidata
EN
Hausdorff dimension
Wiktionary
EN
Hausdorff dimension
Wikipedia Redirections
EN
Besicovitch - Hausdorff dimension, capacity dimension, Hausdorff-Besicovitch dimension, Hausdorff-Besikovitch dimension, Hausdorff Besicovitch dimension, Hausdorff content, Hausdorff–Besicovitch dimension
Wikidata Alias
EN
Hausdroff dimension

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