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In mathematics, generalized functions are objects extending the notion of functions on real or complex numbers. There is more than one recognized theory...

hypergeometric series. Generalized hypergeometric functions include the (Gaussian) hypergeometric function and the confluent hypergeometric function as special cases...

functions – Smooth function in statisticsPages displaying short descriptions of redirect targets Vector generalized linear model (VGLM) Generalized estimating...

composing functions is a chaining process in which the output of function f feeds the input of function g. The composition of functions is a special...

Multiscale Green's function (MSGF) is a generalized and extended version of the classical Green's function (GF) technique for solving mathematical equations...

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...

smooth functions, used for example in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution...

(\operatorname {sgn} 0)^{2}=0} . This generalized signum allows construction of the algebra of generalized functions, but the price of such generalization...

the most pathological functions. Laurent Schwartz introduced distributions, which can be used to take the derivative of any function whatsoever. Limits are...

∈ V . {\displaystyle v\in V.} This definition is often further generalized to functions whose domain is not V, but a cone in V, that is, a subset C of...

targets Generalized function – Objects extending the notion of functions Homogeneous distribution Hyperfunction – Type of generalized function Laplacian...

of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the...

applied to the polysaccharide matrix coating epithelial cells, but its functions have been discovered to go well beyond that. The glycocalyx is located...

source is a sum of delta functions, the solution is a sum of Green's functions as well, by linearity of L. Green's functions are named after the British...

\left(n^{2}\right)} memory, which is infeasible for high-dimensional functions such as the loss functions of neural nets, conditional random fields, and other statistical...

fewer functions than untyped lambda calculus. List of types of functions List of functions Function fitting Implicit function Higher-order function Homomorphism...

general class of step functions, all of which can be represented as linear combinations of translations of this one. The function was originally developed...

known as Schwartz distributions or generalized functions, are objects that generalize the classical notion of functions in mathematical analysis. Distributions...

also be generalized to functions of several variables on Euclidean space, sending a function of 3-dimensional 'position space' to a function of 3-dimensional...

(after Laurent Schwartz) extended derivation to generalized functions (e.g., the Dirac delta function previously introduced in Quantum Mechanics) and...