# Symbols:I/Even Impulse Pair Function

## Even Impulse Pair Function

$\map {\operatorname {II} } x$

The even impulse pair function is the real function $\operatorname {II}: \R \to \R$ defined as:

$\forall x \in \R: \map {\operatorname {II} } x := \dfrac 1 2 \map \delta {x + \dfrac 1 2} + \dfrac 1 2 \map \delta {x - \dfrac 1 2}$

where $\delta$ denotes the Dirac delta function.

The $\LaTeX$ code for $\map {\operatorname {II} } x$ is \map {\operatorname {II} } x .