generalized function


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generalized function

[′jen·rə‚līzd ′fəŋk·shən]
(industrial engineering)
References in periodicals archive ?
The higher moments of GFF (in the generalized function sense) are
9 it follows that each generalized function f [member of] [H'.
By introducing a higher generalized function to the imaginary part of the response function, causality and the f-sum rule become more tightly linked.
In section 4 we give a mild generalization of this mock theta function and show this generalized function belongs to the family of [F.
With the help of this function we can define the Laplace transform L of a generalized function [PHI] [member of] [F's.
Finally, as for the usual Dirac delta as a generalized function, we show how to express a mean geometric density [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] in terms of a suitable approximating sequence of classical functions.
0, m](0, [alpha], q) is the partial generalized function.
is a n-dimensional generalized function, v > 0 a real constant, t [member of] [0,[infinity]) the time parameter, x = ([x.
In Section 3 we will study this equation with an initial condition and show that the unique solution is a generalized function.
The generalized function is one of the most important branches of mathematics, says Rahman (mathematics, Dalhousie U.
Among the topics are quantifying soil-root interactions, nitrogen management effects of root systems, characterizing root length density distribution in wheat using a generalized function, modeling Lolium perenne L.
Farassat, Introduction to generalized functions with applications in aerodynamics and aeroacoustics, NASA Technical Paper 3428, (1996), 1-45.

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