dirac(x) returns the Dirac delta function of x.
The Dirac delta function, dirac, has the value 0 for all x not equal to 0 and the value Inf for x = 0. Several Symbolic Math Toolbox™ functions return answers in terms of dirac.
dirac has the property that
for any function f and real number a. For example:
syms x a a = 5; int(dirac(x-a)*sin(x),-inf, inf)
ans = sin(5)
dirac also has the following relationship to the function heaviside:
syms x diff(heaviside(x),x)
ans = dirac(x)