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Fresnel_integral abstract "Fresnel integrals, S(x) and C(x), are two transcendental functions named after Augustin-Jean Fresnel that are used in optics, which are closely related to the error function (erf). They arise in the description of far field Fresnel diffraction phenomena, and are defined through the following integral representations:The simultaneous parametric plot of S(x) and C(x) is the Euler spiral (also known as the Cornu spiral or clothoid). Recently, they have been used in the design of highways and other engineering projects.".
Fresnel_integral thumbnail Fresnel_Integrals_(Unnormalised).svg?width=300.
Fresnel_integral wikiPageExternalLink Faddeeva.
Fresnel_integral wikiPageExternalLink pg=297.
Fresnel_integral wikiPageExternalLink loop_pe.html.
Fresnel_integral wikiPageExternalLink c1.
Fresnel_integral wikiPageID "271143".
Fresnel_integral wikiPageRevisionID "604915657".
Fresnel_integral bot "H3llBot".
Fresnel_integral date "September 2010".
Fresnel_integral first "N. M.".
Fresnel_integral hasPhotoCollection Fresnel_integral.
Fresnel_integral id "7".
Fresnel_integral id "p/f041720".
Fresnel_integral last "Temme".
Fresnel_integral title "Cornu Spiral".
Fresnel_integral title "Error Functions, Dawson’s and Fresnel Integrals".
Fresnel_integral title "Fresnel Integrals".
Fresnel_integral title "Fresnel integrals".
Fresnel_integral urlname "CornuSpiral".
Fresnel_integral urlname "FresnelIntegrals".
Fresnel_integral subject Category:Analytic_functions.
Fresnel_integral subject Category:Integral_calculus.
Fresnel_integral subject Category:Optics.
Fresnel_integral subject Category:Special_functions.
Fresnel_integral subject Category:Special_hypergeometric_functions.
Fresnel_integral subject Category:Spirals.
Fresnel_integral type Abstraction100002137.
Fresnel_integral type AnalyticFunctions.
Fresnel_integral type Attribute100024264.
Fresnel_integral type Curve113867641.
Fresnel_integral type Function113783816.
Fresnel_integral type Line113863771.
Fresnel_integral type MathematicalRelation113783581.
Fresnel_integral type Relation100031921.
Fresnel_integral type Shape100027807.
Fresnel_integral type SpecialFunctions.
Fresnel_integral type SpecialHypergeometricFunctions.
Fresnel_integral type Spiral113876371.
Fresnel_integral type Spirals.
Fresnel_integral comment "Fresnel integrals, S(x) and C(x), are two transcendental functions named after Augustin-Jean Fresnel that are used in optics, which are closely related to the error function (erf). They arise in the description of far field Fresnel diffraction phenomena, and are defined through the following integral representations:The simultaneous parametric plot of S(x) and C(x) is the Euler spiral (also known as the Cornu spiral or clothoid).".
Fresnel_integral label "Całka Fresnela".
Fresnel_integral label "Fresnel integral".
Fresnel_integral label "Fresnel-Integral".
Fresnel_integral label "Fresnelintegraal".
Fresnel_integral label "Integral de Fresnel".
Fresnel_integral label "Integral de Fresnel".
Fresnel_integral label "Integrale di Fresnel".
Fresnel_integral label "Intégrale de Fresnel".
Fresnel_integral label "Интегралы Френеля".
Fresnel_integral label "フレネル積分".
Fresnel_integral label "菲涅耳積分".
Fresnel_integral sameAs Fresnel-Integral.
Fresnel_integral sameAs Integral_de_Fresnel.
Fresnel_integral sameAs Intégrale_de_Fresnel.
Fresnel_integral sameAs Integrale_di_Fresnel.
Fresnel_integral sameAs フレネル積分.
Fresnel_integral sameAs Fresnelintegraal.
Fresnel_integral sameAs Całka_Fresnela.
Fresnel_integral sameAs Integral_de_Fresnel.
Fresnel_integral sameAs m.01nwkr.
Fresnel_integral sameAs Q580253.
Fresnel_integral sameAs Q580253.
Fresnel_integral sameAs Fresnel_integral.
Fresnel_integral wasDerivedFrom Fresnel_integral?oldid=604915657.
Fresnel_integral depiction Fresnel_Integrals_(Unnormalised).svg.
Fresnel_integral isPrimaryTopicOf Fresnel_integral.