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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 Conjugate element (field theory) ： ウィキペディア英語版 Conjugate element (field theory) In mathematics, in particular field theory, the conjugate elements of an algebraic element α, over a field extension ''L/K'', are the roots of the minimal polynomial ''p''''K'',α(''x'') of α over ''K''. Conjugate elements are also called ''Galois conjugates'', or simply ''conjugates''. Normally α itself is included in the set of conjugates of α. ==Example== The cube roots of the number one are: :$\backslash sqrt()\; =\; \backslash begin\; \backslash \; \backslash \; 1\; \backslash \backslash ()\; -\backslash frac+\backslash fraci\; \backslash \backslash ()\; -\backslash frac-\backslash fraci\; \backslash end$ The latter two roots are conjugate elements in ''L''/''K'' = Q(''i'' )/Q() with minimal polynomial : $\backslash left(x+\backslash frac\backslash right)^2+\backslash frac=x^2+x+1.$ 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「Conjugate element (field theory)」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.