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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 period ： ウィキペディア英語版 Gaussian period In mathematics, in the area of number theory, a Gaussian period is a certain kind of sum of roots of unity. The periods permit explicit calculations in cyclotomic fields connected with Galois theory and with harmonic analysis (discrete Fourier transform). They are basic in the classical theory called cyclotomy. Closely related is the Gauss sum, a type of exponential sum which is a linear combination of periods. ==History== As the name suggests, the periods were introduced by Gauss and were the basis for his theory of compass and straightedge construction. For example, the construction of the heptadecagon (a formula that furthered his reputation) depended on the algebra of such periods, of which : $2\; \backslash cos\; \backslash left(\backslash frac\backslash right)\; =\; \backslash zeta\; +\; \backslash zeta^\; \backslash ,$ is an example involving the seventeenth root of unity : $\backslash zeta\; =\; \backslash exp\; \backslash left(\backslash frac\backslash right).$ 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 period」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.