distribution (103-01-03) assigning to any function f(x), continuous for , the value f(0) NOTE 1 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 The Dirac function is the derivative of the unit step function considered as a distribution. NOTE 3 The Dirac function can be defined for any value x0 of the variable x. The usual notation is: Figure 1 – Distribution de Dirac Figure 1 – Dirac function
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