IEVref:103-03-06ID:
Language:enStatus: Standard
Term: unit doublet
Synonym1:
Synonym2:
Synonym3:
Symbol: δ′
Definition: 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@


Publication date:2009-12
Source
Replaces:
Internal notes:2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO
CO remarks:
TC/SC remarks:
VT remarks:
Domain1:
Domain2:
Domain3:
Domain4:
Domain5: