# Delta Function

The delta function, also called the Dirac delta function, is a generalized function that has the property that its convolution with any function *f* equals the value of *f* at zero.

Delta function is a college-level concept that would be first encountered in an analysis course.

### Prerequisites

Convolution: | Convolution is the integral transform that expresses the amount of overlap of one function g as it is shifted over another function f. |

Integral: | An integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals and derivatives are the fundamental objects of calculus. |

Limit: | A limit is the value a function approaches as the variable approaches some point. If the function is not continuous, the limit could be different from the value of the function at that point. |