dirac

Description

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.

Examples

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)