noun
Meaning 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.
Definition source: English Wiktionary via Wiktextract
Topics: mathematical-analysis, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: Hausdorff distance, Pompeiu-Hausdorff distance
Antonyms: none provided