Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:alsoKnownAs |
gptkb:Cauchy–Schwarz_inequality
|
| gptkbp:appliesTo |
gptkb:Euclidean_space
gptkb:inner_product_spaces |
| gptkbp:category |
mathematical analysis
inequalities |
| gptkbp:firstPublished |
1859
|
| gptkbp:generalizes |
triangle inequality
|
| https://www.w3.org/2000/01/rdf-schema#label |
Schwarz inequality
|
| gptkbp:namedAfter |
gptkb:Hermann_Schwarz
|
| gptkbp:relatedTo |
gptkb:Hölder's_inequality
gptkb:Minkowski_inequality gptkb:Bunyakovsky_inequality |
| gptkbp:sentence |
For all vectors u and v in an inner product space, |⟨u,v⟩| ≤ ||u||·||v||
|
| gptkbp:usedIn |
gptkb:probability_theory
functional analysis quantum mechanics statistics linear algebra |
| gptkbp:bfsParent |
gptkb:Cauchy–Schwarz_inequality
|
| gptkbp:bfsLayer |
6
|