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Dirichlet kernel

In mathematical analysis, the Dirichlet kernel, is the collection of periodic functions defined as

Applications, L1 norm of the kernel function & Relation to the periodic delta function

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Overview

Applications

L1 norm of the kernel function

Relation to the periodic delta function

Proof of the trigonometric identity

Variant of identity

Sources

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Dirichlet kernel

Nodes45
Edges44
Triples33
Avg. degree1.96
Density0.044444
Components1

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Dirichlet kernel

Top relations

related to Sources · 26
Dirichlet kernel → Andrew, Asymptotic, BF01665052, Brian, Bruckner, Dirichlet, Dirichlet's Kernel, EMS Press, Encyclopedia, Fourier, Fourier Series, ISBN, Journal, Judith, Levi, Mathematics, New York Academy, PlanetMath, Podkorytov, Prentice-Hall
has application · 3
Dirichlet kernel → Dirichlet, Fourier, In
related to Relation to the periodic delta function · 2
Dirichlet kernel → Dirac, The Dirichlet
is a · 1
Dirichlet kernel → periodic function which becomes the Dirac comb
part of · 1
Dirichlet kernel → the mathematical description of the diffraction pattern formed when monochromatic light passes through an aperture with multiple narrow slits of equal width and equally spaced a…

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Important terminology

displaystyle kernel fourier series dirichlet sum frac function pi sin periodic identity ikx cos -n period omega delta 2n left

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Dirichlet kernelis aperiodic function which becomes the Dirac comb0.90text
Dirichlet kernelpart ofthe mathematical description of the diffraction pattern formed when monochromatic light passes through an aperture with multiple narrow slits of equal width and equally spaced a…0.85text
Dirichlet kernelhas applicationIn0.60section
Dirichlet kernelhas applicationDirichlet0.60section
Dirichlet kernelhas applicationFourier0.60section
Dirichlet kernelrelated to Relation to the periodic delta functionThe Dirichlet0.60section
Dirichlet kernelrelated to Relation to the periodic delta functionDirac0.60section
Dirichlet kernelrelated to SourcesBruckner0.60section
Dirichlet kernelrelated to SourcesAndrew0.60section
Dirichlet kernelrelated to SourcesJudith0.60section
Dirichlet kernelrelated to SourcesThomson0.60section
Dirichlet kernelrelated to SourcesBrian0.60section

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    Min side: 3
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