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In mathematics, a half-integer is a number of the form :, where 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 : The integers and half-integers together form a group under the addition operation, which may be denoted〔.〕 :. 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 スポンサード リンク
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