In mathematics, a half-integer's a number of the form » n + 1/2, where n's an integer. For example, » 4½, 7/2, −13/2, 8.5 are all half-integers. Note that a half of an integer isn't always a half-integer: half of an even integer's an integer but not a half-integer. The half-integers are precisely those numbers that're half of an odd integer. The set of all half-integers's often denoted » mathbb Z + . Uses Half-integers occur frequently enough in mathematical contexts that a special… (More on Half-integer)