翻訳と辞書 Words near each other ・ Hilbert modular surface ・ Hilbert number ・ Hilbert operator ・ Hilbert Philip Zarky ・ Hilbert plane ・ Hilbert projection theorem ・ Hilbert R-tree ・ Hilbert scheme ・ Hilbert Schenck ・ Hilbert series and Hilbert polynomial ・ Hilbert Shirey ・ Hilbert space ・ Hilbert spectral analysis ・ Hilbert spectroscopy ・ Hilbert spectrum ・ Hilbert symbol ・ Hilbert system ・ Hilbert transform ・ Hilbert van der Duim ・ Hilbert Van Dijk ・ Hilbert Wildlife Management Area ・ Hilbert's arithmetic of ends ・ Hilbert's axioms ・ Hilbert's basis theorem ・ Hilbert's eighteenth problem ・ Hilbert's eighth problem ・ Hilbert's eleventh problem ・ Hilbert's fifteenth problem ・ Hilbert's fifth problem ・ Hilbert's fourteenth problem 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 Hilbert symbol ： ウィキペディア英語版 Hilbert symbol In mathematics, the Hilbert symbol or norm-residue symbol is a function (–, –) from ''K''× × ''K''× to the group of ''n''th roots of unity in a local field ''K'' such as the fields of reals or p-adic numbers . It is related to reciprocity laws, and can be defined in terms of the Artin symbol of local class field theory. The Hilbert symbol was introduced by in his Zahlbericht, with the slight difference that he defined it for elements of global fields rather than for the larger local fields. The Hilbert symbol has been generalized to higher local fields. ==Quadratic Hilbert symbol== Over a local field ''K'' whose multiplicative group of non-zero elements is ''K''×, the quadratic Hilbert symbol is the function (–, –) from ''K''× × ''K''× to defined by : 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「Hilbert symbol」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.