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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク gaussian integer ： ウィキペディア英語版 gaussian integer In number theory, a Gaussian integer is a complex number whose real and imaginary parts are both integers. The Gaussian integers, with ordinary addition and multiplication of complex numbers, form an integral domain, usually written as . This integral domain is a particular case of a commutative ring of quadratic integers. It does not have a total ordering that respects arithmetic. ==Formal definition== Formally, the Gaussian integers are the set :$\backslash mathbf()=\backslash ,\; \backslash qquad\; \backslash text\; i^2\; =\; -1.$〔 Note that when they are considered within the complex plane the Gaussian integers may be seen to constitute the -dimensional integer lattice. 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「gaussian integer」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.