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
|