What is "half-integer"

n. (context mathematics English) Any number obtained by dividing an odd integer by two

In mathematics, a half-integer is a number of the form

$$n + {1\over 2}$$
, where n is an integer. For example,

are all half-integers.

Half-integers occur frequently enough in mathematical contexts that a special term for them is convenient. Note that a half of an integer is not always a half-integer: half of an even integer is an integer but not a half-integer. The half-integers are precisely those numbers that are half of an odd integer, and for this reason are also called the half-odd-integers. Half-integers are a special case of the dyadic rationals, numbers that can be formed by dividing an integer by a power of two.