# 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 $\Z + \dfrac 1 2$.