IEVref: 103-03-05 ID: Language: en Status: Standard Term: Dirac function Synonym1: Dirac delta function [Preferred] Synonym2: unit pulse [Preferred] Synonym3: unit impulse, US [Preferred] Symbol: δ Definition: distribution assigning to any function f(x), continuous for $x=0$, the value f(0)Note 1 to entry: The Dirac function can be considered as the limit of a function, equal to zero outside a small interval containing the origin, and the integral of which remains equal to unity when this interval tends to zero. See Figure 2, where instead of a triangle any other shape with area 1 is possible, too. Note 2 to entry: The Dirac function is the derivative of the unit step function considered as a distribution. Note 3 to entry: The Dirac function can be defined for any value x0 of the variable x. The usual notation is: $f\left({x}_{0}\right)={\int }_{\text{ }-\infty }^{\text{ }+\infty }\delta \left(x-{x}_{0}\right)f\left(x\right)\mathrm{d}x$ Figure 1 – Distribution de DiracFigure 1 – Dirac function 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: