翻訳と辞書 Words near each other ・ Hermus ・ Hermite constant ・ Hermite distribution ・ Hermite interpolation ・ Hermite Islands ・ Hermite normal form ・ Hermite number ・ Hermite polynomials ・ Hermite reciprocity ・ Hermite ring ・ Hermite spline ・ Hermite's cotangent identity ・ Hermite's identity ・ Hermite's problem ・ Hermite–Hadamard inequality ・ Hermite–Minkowski theorem ・ Hermitian adjoint ・ Hermitian connection ・ Hermitian function ・ Hermitian hat wavelet ・ Hermitian manifold ・ Hermitian matrix ・ Hermitian symmetric space ・ Hermitian variety ・ Hermitian wavelet ・ Hermits of Saint William ・ Hermits of St. John the Baptist ・ Hermits of the Most Blessed Virgin Mary of Mount Carmel ・ Hermitude ・ Hermival-les-Vaux Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Hermite–Minkowski theorem ： ウィキペディア英語版 Hermite–Minkowski theorem In mathematics, especially in algebraic number theory, the Hermite–Minkowski theorem states that for any integer ''N'' there are only finitely many number fields, i.e., finite field extensions ''K'' of the rational numbers Q, such that the discriminant of ''K''/Q is at most ''N''. The theorem is named after Charles Hermite and Hermann Minkowski. This theorem is a consequence of the estimate for the discriminant : $\backslash sqrt\; \backslash geq\; \backslash frac\backslash left(\backslash frac\backslash pi4\backslash right)^$ where ''n'' is the degree of the field extension, together with Stirling's formula for ''n''!. This inequality also shows that the discriminant of any number field strictly bigger than Q is not ±1, which in turn implies that Q has no unramified extensions. ==References== Section III.2 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「Hermite–Minkowski theorem」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.