Queries, comments, suggestions? Please contact us.



Area Mathematics - Functions / Integral transformations

IEV ref103-04-07

en
inverse Laplace transform
representation of a real or complex function f(t) of the real variable t by the integral transformation

f(t)= 1 2πj σj σ+j F(s) e st ds MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWaamGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaamiDaiaacMcacqGH9aqpdaWcaaqaaKqzafGaaGymaaGcbaqcLbuacaaIYaacdaGccqWFapaCjugqbiaabQgaaaGcdaWdXaqaaiaadAeacaGGOaGaam4CaiaacMcajugqbiGacwgakmaaCaaaleqabaGaam4CaiaayIW7caWG0baaaKqzafGaciizaOGaam4CaaWcbaGaaGjcVlabeo8aZjabgkHiTiaabQgacqGHEisPaeaacaaMi8Uaeq4WdmNaey4kaSIaaeOAaiabg6HiLcqdcqGHRiI8aaaa@5A59@

where F(s) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAeacaGGOaGaam 4CaiaacMcaaaa@386E@ is the Laplace transform of the function f(t), σ is greater or equal to the abscissa of convergence of F(s) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAeacaGGOaGaam 4CaiaacMcaaaa@386E@ and j is the imaginary unit


fr
transformée inverse de Laplace, f
représentation d'une fonction réelle ou complexe f(t) de la variable réelle t par la transformation intégrale

f(t)= 1 2πj σj σ+j F(s) e st ds MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWaamGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaamiDaiaacMcacqGH9aqpdaWcaaqaaKqzafGaaGymaaGcbaqcLbuacaaIYaacdaGccqWFapaCjugqbiaabQgaaaGcdaWdXaqaaiaadAeacaGGOaGaam4CaiaacMcajugqbiGacwgakmaaCaaaleqabaGaam4CaiaayIW7caWG0baaaKqzafGaciizaOGaam4CaaWcbaGaaGjcVlabeo8aZjabgkHiTiaabQgacqGHEisPaeaacaaMi8Uaeq4WdmNaey4kaSIaaeOAaiabg6HiLcqdcqGHRiI8aaaa@5A59@

F(s) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWaamGadaGadeaabaGaaqaaaOqaaiaadAeacaGGOaGaam 4CaiaacMcaaaa@386C@ est la transformée de Laplace de la fonction f(t), σ est supérieur ou égal à l'abscisse de convergence de F(s) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWaamGadaGadeaabaGaaqaaaOqaaiaadAeacaGGOaGaam 4CaiaacMcaaaa@386C@ et j est l’unité imaginaire


ar
تحويل لابلاس العكسى

de
inverse Laplace-Transformierte, f

es
transformada inversa de Laplace

it
trasformata inversa di Laplace

ja
逆ラプラス変換, 動詞

pl
transformata odwrotna Laplace’a

pt
transformada inversa de Laplace

sr
инверзна Лапласова трансформација, ж јд

sv
invers laplacetransform

zh
拉普拉斯逆变换, <相关条目:103-04-08>

Publication date: 2009-12
Copyright © IEC 2017. All Rights Reserved.