Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:inequality
|
gptkbp:appliesTo |
gptkb:Euclidean_spaces
gptkb:Hilbert_spaces gptkb:inner_product_spaces |
gptkbp:category |
gptkb:Linear_algebra
gptkb:Mathematical_analysis Inequalities |
gptkbp:field |
mathematical analysis
linear algebra |
gptkbp:firstPublished |
1821
|
gptkbp:generalizes |
gptkb:Buniakowsky_inequality
gptkb:Hölder's_inequality gptkb:Minkowski_inequality |
https://www.w3.org/2000/01/rdf-schema#label |
Cauchy-Schwarz inequality
|
gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
gptkb:Hermann_Amandus_Schwarz |
gptkbp:sentence |
For all vectors u and v in an inner product space, |⟨u,v⟩| ≤ ||u||·||v||.
|
gptkbp:usedIn |
gptkb:probability_theory
functional analysis statistics proof of triangle inequality |
gptkbp:bfsParent |
gptkb:Hilbert_space
|
gptkbp:bfsLayer |
4
|