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Orthogonal functions

In mathematics, orthogonal functions belong to a function space that is a vector space equipped with a bilinear form. When the function space has an interval as the domain, the bilinear form may be the integral of the product of functions over the interval: ⟨ f , g ⟩ = ∫ f ( x ) ¯ g ( x ) d x . {\displaystyle \langle f,g\rangle =\int {\overline…

Products, Polynomials & Rational functions

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Trigonometric functions

Polynomials

Binary-valued functions

Rational functions

In differential equations

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Orthogonal functions

Nodes41
Edges40
Triples12
Avg. degree1.95
Density0.04878
Components1

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Orthogonal functions

Top relations

related to Rational functions · 5
Orthogonal functions → Cayley, Chebyshev, In, Legendre, This
related to Trigonometric functions · 4
Orthogonal functions → For, Fourier, Several, Together
related to Binary-valued functions · 2
Orthogonal functions → Haar, Walsh
related to External links · 1
Orthogonal functions → MathWorld

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Important terminology

functions orthogonal displaystyle integral function polynomials space form langle rangle interval left right bilinear product int dx sequence legendre defined

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Orthogonal functionsrelated to Binary-valued functionsWalsh0.60section
Orthogonal functionsrelated to Binary-valued functionsHaar0.60section
Orthogonal functionsrelated to External linksMathWorld0.60section
Orthogonal functionsrelated to Rational functionsLegendre0.60section
Orthogonal functionsrelated to Rational functionsChebyshev0.60section
Orthogonal functionsrelated to Rational functionsIn0.60section
Orthogonal functionsrelated to Rational functionsCayley0.60section
Orthogonal functionsrelated to Rational functionsThis0.60section
Orthogonal functionsrelated to Trigonometric functionsSeveral0.60section
Orthogonal functionsrelated to Trigonometric functionsFor0.60section
Orthogonal functionsrelated to Trigonometric functionsTogether0.60section
Orthogonal functionsrelated to Trigonometric functionsFourier0.60section

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