Definitions from Wiktionary (Hausdorff dimension)
▸ noun: (mathematical analysis) 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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▸ noun: (mathematical analysis) 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.
Similar:
fractal dimension,
Minkowski-Bouligand dimension,
Hausdorff metric,
Hausdorff distance,
fractal,
Hausdorff content,
Hausdorff space,
dimension,
codimension,
regular space,
more...
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