Definitions from Wiktionary (Hausdorff metric)
▸ noun: (mathematical analysis) In the abstract metric space of all compact subsets of ℝⁿ, given a pair of compact sets A and B, the Hausdorff metric is h(A,B)= mbox maxρ(A,B),ρ(B,A) where ρ(A,B)= sup _(a∈A) inf _(b∈B),d(a,b), where d is the Euclidean metric in ℝⁿ.
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▸ noun: (mathematical analysis) In the abstract metric space of all compact subsets of ℝⁿ, given a pair of compact sets A and B, the Hausdorff metric is h(A,B)= mbox maxρ(A,B),ρ(B,A) where ρ(A,B)= sup _(a∈A) inf _(b∈B),d(a,b), where d is the Euclidean metric in ℝⁿ.
Similar:
Hausdorff distance,
Hausdorff dimension,
Hausdorff space,
uniform metric,
regular space,
Hausdorff content,
manifold,
metric space,
pre-Hilbert space,
Euclidean metric,
more...
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