Definition:Dirac Delta Function

Also defined as
Let $c$ be a constant real number.

The notation $\map {\delta_c} t$ is often used to denote:
 * $\map {\delta_c} t := \map \delta {t - c} := \begin{cases}

0 & : x < c - \epsilon \\ \dfrac 1 {2 \epsilon} & : c - \epsilon \le x \le c + \epsilon \\ 0 & : x > c + \epsilon \end{cases}$

Also see
The Dirac delta function is also defined by the following limits:


 * Definition:Kronecker Delta
 * Definition:Heaviside Step Function
 * Equivalence of Definitions of Dirac Delta Function