supremum metric

GPTKB entity

Statements (28)
Predicate Object
gptkbp:instanceOf gptkb:Metric
gptkbp:alsoKnownAs Chebyshev metric
infinity norm metric
uniform metric
gptkbp:appliesTo sequences
vectors
complex-valued functions
real-valued functions
gptkbp:definedIn space of bounded functions
gptkbp:distance d(x, y) = sup |x(t) - y(t)|
gptkbp:example d(x, y) = max_i |x_i - y_i| for vectors x, y
gptkbp:hasSpecialCase gptkb:Lp_metric
https://www.w3.org/2000/01/rdf-schema#label supremum metric
gptkbp:inducedBy uniform topology
gptkbp:LpParameter p = infinity
gptkbp:relatedTo infinity norm
maximum norm
gptkbp:satisfies gptkb:symmetry
identity of indiscernibles
non-negativity
triangle inequality
gptkbp:usedFor uniform convergence
convergence in uniform norm
gptkbp:usedIn gptkb:topology
analysis
functional analysis
gptkbp:bfsParent gptkb:L∞_metric
gptkbp:bfsLayer 8