Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Lebesgue_space_norm
L^p norm |
| gptkbp:appliesTo |
finite-dimensional spaces
infinite-dimensional spaces |
| gptkbp:definedIn |
vector spaces
|
| gptkbp:domain |
gptkb:Lp_spaces
|
| gptkbp:fieldOfStudy |
gptkb:mathematics
analysis |
| gptkbp:generalizes |
distance functions
|
| gptkbp:hasSpecialCase |
gptkb:Chebyshev_distance_(p→∞)
gptkb:Manhattan_distance_(p=1) Euclidean distance (p=2) |
| https://www.w3.org/2000/01/rdf-schema#label |
Lp metric
|
| gptkbp:namedAfter |
gptkb:Henri_Lebesgue
|
| gptkbp:notation |
||x||_p
|
| gptkbp:parameter |
p (real number, p ≥ 1)
|
| gptkbp:relatedTo |
gptkb:Hilbert_space
gptkb:normed_vector_space gptkb:Minkowski_inequality gptkb:Holder's_inequality |
| gptkbp:satisfies |
gptkb:symmetry
identity of indiscernibles non-negativity triangle inequality |
| gptkbp:usedIn |
gptkb:machine_learning
gptkb:mathematics functional analysis statistics |
| gptkbp:bfsParent |
gptkb:Chebyshev_distance
|
| gptkbp:bfsLayer |
7
|