mathematics, the Hausdorff distance, or Hausdorff metric, also called Pompeiu–Hausdorff distance, measures how far two subsets of a metric space are from...
12 KB (1,861 words) - 23:15, 26 June 2024
mathematics, Gromov–Hausdorff convergence, named after Mikhail Gromov and Felix Hausdorff, is a notion for convergence of metric spaces which is a generalization...
9 KB (993 words) - 19:21, 17 August 2024
referred to as the Hausdorff–Besicovitch dimension. More specifically, the Hausdorff dimension is a dimensional number associated with a metric space, i.e. a...
24 KB (3,147 words) - 22:17, 26 April 2024
dimension Hausdorff distance or Hausdorff metric, which measures how far two compact non-empty subsets of a metric space are from each other Hausdorff density...
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{\displaystyle \mathbb {R} ^{n}} or, more generally, in any metric space. The zero-dimensional Hausdorff measure is the number of points in the set (if the set...
9 KB (1,547 words) - 00:41, 7 November 2023
Gromov–Hausdorff distance between metric spaces themselves). Formally, a metric space is an ordered pair (M, d) where M is a set and d is a metric on M...
80 KB (11,081 words) - 20:23, 15 September 2024
principle Hausdorff measure Hausdorff metric Hausdorff moment problem Hausdorff paradox Hausdorff space Hausdorff–Young inequality Baker–Campbell–Hausdorff formula...
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Hausdorff; most importantly, the real numbers (under the standard metric topology on real numbers) are a Hausdorff space. More generally, all metric spaces...
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Normal space (redirect from Normal Hausdorff space)
normal Hausdorff spaces, or at least normal regular spaces: All metric spaces (and hence all metrizable spaces) are perfectly normal Hausdorff; All pseudometric...
12 KB (1,600 words) - 03:32, 25 September 2024
In mathematics, the Baker–Campbell–Hausdorff formula gives the value of Z {\displaystyle Z} that solves the equation e X e Y = e Z {\displaystyle e^{X}e^{Y}=e^{Z}}...
35 KB (6,168 words) - 22:17, 20 September 2024