Definition:Half-Integer

Definition
A half-integer is a number of the form:
 * $n + \dfrac 1 2$

where $n \in \Z$.

The set of all half-integers can be defined as:
 * $\left\{{n + \dfrac 1 2: n \in \Z}\right\}$

and can be denoted as $\Z + \dfrac 1 2$.

Also see

 * Half-Integer is Half Odd Integer