IEVref: 103-01-03 ID: Language: en Status: Standard Term: distribution Synonym1: generalized function [Preferred] Synonym2: Synonym3: Symbol: Definition: continuous linear functional which assigns a real or complex number to any function of a real or complex variable belonging to the class of infinitely differentiable functions vanishing outside a bounded interval or domainNote 1 to entry: A function D(x) can be considered as a distribution D assigning to a function f(x) the value $D\left(f\right)=\underset{-\infty }{\overset{+\infty }{\int }}D\left(x\right)f\left(x\right)\text{d}x$ if this integral exists. Note 2 to entry: The derivative of a distribution D is another distribution D′ defined for any function f(x) by ${D}^{\prime }\left(f\right)=-D\left(\text{d}f/\text{ }\text{d}x\right)$. 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 2017-08-25: Corrected to . LMO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: