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- Kramers–Kronig_relations abstract "The Kramers–Kronig relations are bidirectional mathematical relations, connecting the real and imaginary parts of any complex function that is analytic in the upper half-plane. These relations are often used to calculate the real part from the imaginary part (or vice versa) of response functions in physical systems, because for stable systems, causality implies the analyticity condition, and conversely, analyticity implies causality of the corresponding stable physical system. The relation is named in honor of Ralph Kronig and Hendrik Anthony Kramers. In mathematics these relations are known under the names Sokhotski–Plemelj theorem and Hilbert transform.".
- Kramers–Kronig_relations thumbnail Contour_of_KKR.svg?width=300.
- Kramers–Kronig_relations wikiPageID "2481686".
- Kramers–Kronig_relations wikiPageLength "14713".
- Kramers–Kronig_relations wikiPageOutDegree "59".
- Kramers–Kronig_relations wikiPageRevisionID "664691919".
- Kramers–Kronig_relations wikiPageWikiLink Absorption_coefficient.
- Kramers–Kronig_relations wikiPageWikiLink Actuator.
- Kramers–Kronig_relations wikiPageWikiLink Analytic_function.
- Kramers–Kronig_relations wikiPageWikiLink Angle.
- Kramers–Kronig_relations wikiPageWikiLink Angle-resolved_photoemission_spectroscopy.
- Kramers–Kronig_relations wikiPageWikiLink Angle_resolved_photoemission_spectroscopy.
- Kramers–Kronig_relations wikiPageWikiLink Attenuation_coefficient.
- Kramers–Kronig_relations wikiPageWikiLink Category:Complex_analysis.
- Kramers–Kronig_relations wikiPageWikiLink Category:Electric_and_magnetic_fields_in_matter.
- Kramers–Kronig_relations wikiPageWikiLink Cauchy_principal_value.
- Kramers–Kronig_relations wikiPageWikiLink Causal_system.
- Kramers–Kronig_relations wikiPageWikiLink Complex_analysis.
- Kramers–Kronig_relations wikiPageWikiLink Cross_section_(physics).
- Kramers–Kronig_relations wikiPageWikiLink Denominator.
- Kramers–Kronig_relations wikiPageWikiLink Dispersion_(optics).
- Kramers–Kronig_relations wikiPageWikiLink Dissipation.
- Kramers–Kronig_relations wikiPageWikiLink Electromagnetic_spectrum.
- Kramers–Kronig_relations wikiPageWikiLink Electron_energy_loss_spectroscopy.
- Kramers–Kronig_relations wikiPageWikiLink Even_and_odd_functions.
- Kramers–Kronig_relations wikiPageWikiLink Force.
- Kramers–Kronig_relations wikiPageWikiLink Force_(physics).
- Kramers–Kronig_relations wikiPageWikiLink Fourier_transform.
- Kramers–Kronig_relations wikiPageWikiLink Fraction_(mathematics).
- Kramers–Kronig_relations wikiPageWikiLink Hadron.
- Kramers–Kronig_relations wikiPageWikiLink Hans_Kramers.
- Kramers–Kronig_relations wikiPageWikiLink Hendrik_Anthony_Kramers.
- Kramers–Kronig_relations wikiPageWikiLink High-temperature_superconductivity.
- Kramers–Kronig_relations wikiPageWikiLink High_temperature_superconductors.
- Kramers–Kronig_relations wikiPageWikiLink Hilbert_transform.
- Kramers–Kronig_relations wikiPageWikiLink Imaginary_number.
- Kramers–Kronig_relations wikiPageWikiLink Integral.
- Kramers–Kronig_relations wikiPageWikiLink Integrand.
- Kramers–Kronig_relations wikiPageWikiLink Linear_response_function.
- Kramers–Kronig_relations wikiPageWikiLink Mathematics.
- Kramers–Kronig_relations wikiPageWikiLink Methods_of_contour_integration.
- Kramers–Kronig_relations wikiPageWikiLink Optical_theorem.
- Kramers–Kronig_relations wikiPageWikiLink Pendulum.
- Kramers–Kronig_relations wikiPageWikiLink Permittivity.
- Kramers–Kronig_relations wikiPageWikiLink Phase_(waves).
- Kramers–Kronig_relations wikiPageWikiLink Physical_system.
- Kramers–Kronig_relations wikiPageWikiLink Pole_(complex_analysis).
- Kramers–Kronig_relations wikiPageWikiLink Presolar_grain.
- Kramers–Kronig_relations wikiPageWikiLink Presolar_grains.
- Kramers–Kronig_relations wikiPageWikiLink Ralph_Kronig.
- Kramers–Kronig_relations wikiPageWikiLink Real_number.
- Kramers–Kronig_relations wikiPageWikiLink Reflectance.
- Kramers–Kronig_relations wikiPageWikiLink Reflectivity.
- Kramers–Kronig_relations wikiPageWikiLink Residue_theorem.
- Kramers–Kronig_relations wikiPageWikiLink Self-energy.
- Kramers–Kronig_relations wikiPageWikiLink Self_energy.
- Kramers–Kronig_relations wikiPageWikiLink Sign_function.
- Kramers–Kronig_relations wikiPageWikiLink Signal_processing.
- Kramers–Kronig_relations wikiPageWikiLink Sokhotski–Plemelj_theorem.
- Kramers–Kronig_relations wikiPageWikiLink Spectroscopy.
- Kramers–Kronig_relations wikiPageWikiLink Upper_half-plane.
- Kramers–Kronig_relations wikiPageWikiLink File:Contour_of_KKR.svg.
- Kramers–Kronig_relations wikiPageWikiLink File:KramersKronig.svg.
- Kramers–Kronig_relations wikiPageWikiLinkText "Kramers Kronig dispersion relation".
- Kramers–Kronig_relations wikiPageWikiLinkText "Kramers–Kronig analysis".
- Kramers–Kronig_relations wikiPageWikiLinkText "Kramers–Kronig relations".
- Kramers–Kronig_relations hasPhotoCollection Kramers–Kronig_relations.
- Kramers–Kronig_relations wikiPageUsesTemplate Template:Cite_book.
- Kramers–Kronig_relations wikiPageUsesTemplate Template:Reflist.
- Kramers–Kronig_relations subject Category:Complex_analysis.
- Kramers–Kronig_relations subject Category:Electric_and_magnetic_fields_in_matter.
- Kramers–Kronig_relations comment "The Kramers–Kronig relations are bidirectional mathematical relations, connecting the real and imaginary parts of any complex function that is analytic in the upper half-plane. These relations are often used to calculate the real part from the imaginary part (or vice versa) of response functions in physical systems, because for stable systems, causality implies the analyticity condition, and conversely, analyticity implies causality of the corresponding stable physical system.".
- Kramers–Kronig_relations label "Kramers–Kronig relations".
- Kramers–Kronig_relations sameAs علاقة_كراميرس-كرونيج.
- Kramers–Kronig_relations sameAs Relacions_de_Kramers-Kronig.
- Kramers–Kronig_relations sameAs Kramersovy-Kronigovy_relace.
- Kramers–Kronig_relations sameAs Kramers-Kronig-Beziehungen.
- Kramers–Kronig_relations sameAs Relaciones_de_Kramers-Kronig.
- Kramers–Kronig_relations sameAs Relations_de_Kramers-Kronig.
- Kramers–Kronig_relations sameAs יחסי_קרמרס-קרוניג.
- Kramers–Kronig_relations sameAs Relazione_di_Kramers-Kronig.
- Kramers–Kronig_relations sameAs クラマース・クローニッヒの関係式.
- Kramers–Kronig_relations sameAs Relações_de_Kramers–Kronig.
- Kramers–Kronig_relations sameAs m.07h050.
- Kramers–Kronig_relations sameAs Соотношения_Крамерса_—_Кронига.
- Kramers–Kronig_relations sameAs Співвідношення_Крамерса_—_Кроніґа.
- Kramers–Kronig_relations sameAs Liên_hệ_Kramers-Kronig.
- Kramers–Kronig_relations sameAs Q1424764.
- Kramers–Kronig_relations sameAs Q1424764.
- Kramers–Kronig_relations sameAs 克拉莫-克若尼關係式.
- Kramers–Kronig_relations wasDerivedFrom Kramers–Kronig_relations?oldid=664691919.
- Kramers–Kronig_relations depiction Contour_of_KKR.svg.
- Kramers–Kronig_relations isPrimaryTopicOf Kramers–Kronig_relations.