English Explanatory Dictionary

Hausdorff metric

English dictionary entry

Meanings

noun
  1. 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.

Word forms

Hausdorff metric Hausdorff metrics

Synonyms

Hausdorff distance Pompeiu-Hausdorff distance
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