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Area Mathematics - Functions / Distributions

IEV ref103-03-06

Symbol
δ′

en
unit doublet
distribution being the derivative of the Dirac function

Note 1 to entry: The unit doublet can be used to express the value for x0 of the derivative of a function f(x) differentiable at x= x 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWaamGadaGadeaabaGaaqaaaOqaaiaadIhacqGH9aqpca WG4bWaaSbaaSqaaKqzadGaaGimaaWcbeaaaaa@3A6D@ :

f ( x 0 )= + δ (x x 0 ) f(x)dx MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWaamGadaGadeaabaGaaqaaaOqaaiqadAgagaqbaiaacI cacaWG4bWaaSbaaSqaaKqzadGaaGimaaWcbeaakiaacMcacqGH9aqp cqGHsisldaWdXaqaaGWaaiqb=r7aKzaafaGaaiikaiaadIhacqGHsi slcaWG4bWaaSbaaSqaaKqzadGaaGimaaWcbeaakiaacMcaaSqaaiaa yIW7cqGHsislcqGHEisPaeaacaaMi8Uaey4kaSIaeyOhIukaniabgU IiYdGccaWGMbGaaiikaiaadIhacaGGPaqcLbqaciGGKbGccaWG4baa aa@547E@


fr
doublet unité, m
distribution qui est la dérivée de la distribution de Dirac

Note 1 à l'article: Le doublet unité permet d'exprimer la valeur pour x0 de la dérivée d'une fonction f(x) dérivable pour x= x 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWaamGadaGadeaabaGaaqaaaOqaaiaadIhacqGH9aqpca WG4bWaaSbaaSqaaKqzadGaaGimaaWcbeaaaaa@3A6D@ :

f ( x 0 )= + δ (x x 0 ) f(x)dx MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWaamGadaGadeaabaGaaqaaaOqaaiqadAgagaqbaiaacI cacaWG4bWaaSbaaSqaaKqzadGaaGimaaWcbeaakiaacMcacqGH9aqp cqGHsisldaWdXaqaaGWaaiqb=r7aKzaafaGaaiikaiaadIhacqGHsi slcaWG4bWaaSbaaSqaaKqzadGaaGimaaWcbeaakiaacMcaaSqaaiaa yIW7cqGHsislcqGHEisPaeaacaaMi8Uaey4kaSIaeyOhIukaniabgU IiYdGccaWGMbGaaiikaiaadIhacaGGPaqcLbqaciGGKbGccaWG4baa aa@547E@


ar
وحدة مزدوجة ( الرمز ΄δ )

de
Einheitsdoppelsprung, m

es
doblete unidad

it
doppietto unitario

ja
単一ダブレット

pl
impuls jednostkowy podwójny
dipuls

pt
dobleto unitário

sr
јединични дублет, м јд

sv
enhetsduplett

zh
单位偶极函数

Publication date: 2009-12
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