Hausdorff dimension
Definition from Wiktionary, the free dictionary
English[edit]
Noun[edit]
Hausdorff dimension (plural Hausdorff dimensions)
 (analysis) A type of fractal dimension, a realvalued 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 realvalued d for which the ddimensional Hausdorff content of S is zero.
 If S is nonempty then if the ddimensional Hausdorff content of S is zero then d is larger than the Hausdorff dimension of S, and if the ddimensional Hausdorff content of S is infinite then d is smaller or equal to the Hausdorff dimension of S. If the ddimensional Hausdorff content of S is finite and positive then d is equal to the Hausdorff dimension of S.
Hypernyms[edit]
Translations[edit]
a type of fractal dimension

