Pompeiu–Hausdorff metric

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkb:Metric
gptkbp:alternativeName gptkb:Hausdorff_distance
gptkbp:appliesTo sets
metric spaces
gptkbp:defines maximum distance from a point in one set to the closest point in the other set
gptkbp:field gptkb:mathematics
gptkb:topology
metric geometry
https://www.w3.org/2000/01/rdf-schema#label Pompeiu–Hausdorff metric
gptkbp:introducedIn early 20th century
gptkbp:namedAfter gptkb:Felix_Hausdorff
gptkb:Dimitrie_Pompeiu
gptkbp:property non-negative
symmetric
satisfies triangle inequality
equals zero if and only if sets are equal
gptkbp:usedFor measuring distance between sets
gptkbp:bfsParent gptkb:Dimitrie_Pompeiu
gptkbp:bfsLayer 6