L∞ metric

GPTKB entity

Statements (27)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkb:Metric
gptkbp:alsoKnownAs gptkb:Chebyshev_distance
gptkb:supremum_metric
maximum metric
gptkbp:appliesTo finite-dimensional spaces
infinite-dimensional spaces
gptkbp:contrastsWith gptkb:Manhattan_metric
Euclidean metric
gptkbp:definedIn vector spaces
gptkbp:distanceFunction d(x, y) = max_i |x_i - y_i|
gptkbp:hasInvariant translations
coordinate permutations
https://www.w3.org/2000/01/rdf-schema#label L∞ metric
gptkbp:inducedBy gptkb:L∞_norm
gptkbp:isMetricOf gptkb:L∞_norm
gptkbp:limitation Lp metric as p→∞
gptkbp:relatedTo gptkb:Lp_metric
gptkbp:satisfies gptkb:symmetry
identity of indiscernibles
non-negativity
triangle inequality
gptkbp:usedIn gptkb:geometry
computer science
optimization
gptkbp:bfsParent gptkb:Chebyshev_distance
gptkbp:bfsLayer 7