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Half-integer : ウィキペディア英語版
Half-integer
In mathematics, a half-integer is a number of the form
:n + ,
where n is an integer. For example,
:4½, 7/2, −13/2, 8.5
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.〔.〕
==Notation and algebraic structure==
The set of all half-integers is often denoted
:\mathbb Z + .
The integers and half-integers together form a group under the addition operation, which may be denoted〔.〕
:\frac \mathbb Z.
However, these numbers do not form a ring because the product of two half-integers is generally not itself a half-integer.〔.〕

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Half-integer」の詳細全文を読む



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