Symbols:I/Odd Impulse Pair Function

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Odd Impulse Pair Function

$\map {\operatorname {I_I} } x$

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

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

where $\delta$ denotes the Dirac delta function.

The $\LaTeX$ code for \(\map {\operatorname {I_I} } x\) is \map {\operatorname {I_I} } x .