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Biorthogonal system

In mathematics, a biorthogonal system is a pair of indexed families of vectors v ~ i in E and u ~ i in F {\displaystyle {\tilde {v}}_{i}{\text{ in }}E{\text{ and }}{\tilde {u}}_{i}{\text{ in }}F} such that ⟨ v ~ i , u ~ j ⟩ = δ i , j , {\displaystyle \left\langle {\tilde {v}}_{i},{\tilde {u}}_{j}\right\rangle =\delta _{i,j},} where E {\displaystyle E}…

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Biorthogonal system

Nodes14
Edges13
Triples8
Avg. degree1.86
Density0.142857
Components1

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Biorthogonal system

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related to References · 3
Biorthogonal system → Jean Dieudonné, Michigan Math, On
is a · 2
Biorthogonal system → pair of indexed families of vectors v, projection P
related to Construction · 2
Biorthogonal system → Given, I-P
related to Projection · 1
Biorthogonal system → Related

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Important terminology

biorthogonal displaystyle tilde left right system langle rangle pair indexed projection mathematics vectors vector spaces cdot matrix duality eigenvectors eigenvalue

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SubjectPredicateObjectConfidenceSrc
Biorthogonal systemis apair of indexed families of vectors v0.90text
Biorthogonal systemis aprojection P0.90text
Biorthogonal systemrelated to ConstructionGiven0.60section
Biorthogonal systemrelated to ConstructionI-P0.60section
Biorthogonal systemrelated to ProjectionRelated0.60section
Biorthogonal systemrelated to ReferencesJean Dieudonné0.60section
Biorthogonal systemrelated to ReferencesOn0.60section
Biorthogonal systemrelated to ReferencesMichigan Math0.60section

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