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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 P-adic order ： ウィキペディア英語版 P-adic order In number theory, for a given prime number , the -adic order or -adic additive valuation of a non-zero integer is the highest exponent ν such that ν divides . The -adic valuation of $0$ is defined to be $\backslash infty$. It is commonly abbreviated ν(). If is a rational number in lowest terms, so that and are relatively prime, then ν() is equal to ν() if divides , or -ν() if divides , or to 0 if it divides neither one. The most important application of the ''p''-adic order is in constructing the field of ''p''-adic numbers. It is also applied toward various more elementary topics, such as the distinction between singly and doubly even numbers.〔 〕 ==Definition and Properties== 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「P-adic order」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.