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The '''Dirac delta''' function <math>\delta(x) </math> satisfies the following property:
The '''[[Paul Dirac|Dirac]] delta''' function <math>\delta(x) </math> satisfies the following property:
:<math>\int_{-\infty}^\infty f(x)\delta(x-y)dx = f(y)</math>
:<math>\int_{-\infty}^\infty f(x)\delta(x-y)dx = f(y)</math>