In mathematics, generalized functions are objects extending the notion of functions on real or complex numbers. There is more than one recognized theory...
18 KB (2,202 words) - 09:30, 11 July 2024
mathematics, a generalized hypergeometric series is a power series in which the ratio of successive coefficients indexed by n is a rational function of n. The...
37 KB (7,739 words) - 21:59, 11 July 2024
In statistics, a generalized linear model (GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing...
31 KB (4,224 words) - 09:57, 24 April 2024
(\operatorname {sgn} 0)^{2}=0} . This generalized signum allows construction of the algebra of generalized functions, but the price of such generalization...
16 KB (2,784 words) - 20:13, 11 August 2024
vector/tuple-valued function in this generalized scheme, in which case this is precisely the standard definition of function composition. A set of finitary...
36 KB (3,636 words) - 00:42, 21 August 2024
mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value...
93 KB (13,792 words) - 13:12, 7 July 2024
Mollifier (redirect from Cutoff function)
smooth functions, used for example in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution...
16 KB (2,204 words) - 23:54, 22 June 2024
arose in calculus, and was later generalized to the more abstract setting of order theory. In calculus, a function f {\displaystyle f} defined on a subset...
19 KB (2,467 words) - 19:43, 4 August 2024
singularity Generalized function Distribution Minkowski's question-mark function (**) This condition depends on the references "Singular function", Encyclopedia...
4 KB (416 words) - 05:35, 29 June 2023
In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with...
38 KB (5,158 words) - 21:16, 20 August 2024