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- Dirichlet_conditions abstract "In mathematics, the Dirichlet conditions are sufficient conditions for a real-valued, periodic function f(x) to be equal to the sum of its Fourier series at each point where f is continuous. Moreover, the behavior of the Fourier series at points of discontinuity is determined as well (it is the midpoint of the values of the discontinuity). These conditions are named after Peter Gustav Lejeune Dirichlet.The conditions are:f(x) must be absolutely integrable over a period.f(x) must have a finite number of extrema in any given bounded interval, i.e. there must be a finite number of maxima and minima in the interval.f(x) must have a finite number of discontinuities in any given bounded interval, however the discontinuity cannot be infinite.f(x) must be boundedThe last three conditions are satisfied if f is a function of bounded variation over a period.".
- Dirichlet_conditions wikiPageID "1461290".
- Dirichlet_conditions wikiPageLength "2640".
- Dirichlet_conditions wikiPageOutDegree "15".
- Dirichlet_conditions wikiPageRevisionID "637583761".
- Dirichlet_conditions wikiPageWikiLink Absolutely_integrable.
- Dirichlet_conditions wikiPageWikiLink Bounded_function.
- Dirichlet_conditions wikiPageWikiLink Bounded_variation.
- Dirichlet_conditions wikiPageWikiLink Category:Fourier_series.
- Dirichlet_conditions wikiPageWikiLink Category:Theorems_in_analysis.
- Dirichlet_conditions wikiPageWikiLink Classification_of_discontinuities.
- Dirichlet_conditions wikiPageWikiLink Continuous_function.
- Dirichlet_conditions wikiPageWikiLink Fourier_series.
- Dirichlet_conditions wikiPageWikiLink Mathematics.
- Dirichlet_conditions wikiPageWikiLink Maxima_and_minima.
- Dirichlet_conditions wikiPageWikiLink Necessity_and_sufficiency.
- Dirichlet_conditions wikiPageWikiLink Periodic_function.
- Dirichlet_conditions wikiPageWikiLink Peter_Gustav_Lejeune_Dirichlet.
- Dirichlet_conditions wikiPageWikiLink Real_number.
- Dirichlet_conditions wikiPageWikiLink Real_numbers.
- Dirichlet_conditions wikiPageWikiLink Sufficient_condition.
- Dirichlet_conditions wikiPageWikiLinkText "Dirichlet conditions".
- Dirichlet_conditions wikiPageWikiLinkText "Dirichlet theorem".
- Dirichlet_conditions wikiPageWikiLinkText "Dirichlet's condition for Fourier series".
- Dirichlet_conditions wikiPageWikiLinkText "conditions".
- Dirichlet_conditions wikiPageWikiLinkText "nice enough".
- Dirichlet_conditions hasPhotoCollection Dirichlet_conditions.
- Dirichlet_conditions id "3891".
- Dirichlet_conditions title "Dirichlet conditions".
- Dirichlet_conditions wikiPageUsesTemplate Template:Distinguish.
- Dirichlet_conditions wikiPageUsesTemplate Template:Planetmath_reference.
- Dirichlet_conditions wikiPageUsesTemplate Template:Unreferenced.
- Dirichlet_conditions subject Category:Fourier_series.
- Dirichlet_conditions subject Category:Theorems_in_analysis.
- Dirichlet_conditions hypernym Conditions.
- Dirichlet_conditions type Disease.
- Dirichlet_conditions type Theorem.
- Dirichlet_conditions type Thing.
- Dirichlet_conditions comment "In mathematics, the Dirichlet conditions are sufficient conditions for a real-valued, periodic function f(x) to be equal to the sum of its Fourier series at each point where f is continuous. Moreover, the behavior of the Fourier series at points of discontinuity is determined as well (it is the midpoint of the values of the discontinuity).".
- Dirichlet_conditions label "Dirichlet conditions".
- Dirichlet_conditions differentFrom Dirichlet_boundary_condition.
- Dirichlet_conditions sameAs Dirichletovi_uvjeti.
- Dirichlet_conditions sameAs Dirichletovy_podmínky.
- Dirichlet_conditions sameAs Dirichlet-Bedingung.
- Dirichlet_conditions sameAs Théorème_de_Dirichlet_(séries_de_Fourier).
- Dirichlet_conditions sameAs Warunki_Dirichleta.
- Dirichlet_conditions sameAs m.053cjx.
- Dirichlet_conditions sameAs Q1227685.
- Dirichlet_conditions sameAs Q1227685.
- Dirichlet_conditions sameAs 狄利克雷定理_(傅里叶级数).
- Dirichlet_conditions wasDerivedFrom Dirichlet_conditions?oldid=637583761.
- Dirichlet_conditions isPrimaryTopicOf Dirichlet_conditions.