翻訳と辞書 Words near each other ・ Erhard Neumann ・ Erhard Nippa ・ Erhard of Queis ・ Erhard of Regensburg ・ Erhard Ratdolt ・ Erhard Raus ・ Ergocalciferol ・ Ergocornine ・ Ergocristine ・ Ergocryptine ・ Ergodic (disambiguation) ・ Ergodic hypothesis ・ Ergodic literature ・ Ergodic process ・ Ergodic Ramsey theory ・ Ergodic sequence ・ Ergodic theory ・ Ergodic Theory and Dynamical Systems ・ Ergodicity ・ Ergogenic aid ・ Ergogenic use of anabolic steroids ・ Ergograph ・ ErgoGroup ・ Ergoiena ・ Ergolding ・ Ergoldsbach ・ Ergolea ・ Ergoline ・ Ergoloid ・ Ergolz 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 Ergodic sequence ： ウィキペディア英語版 Ergodic sequence In mathematics, an ergodic sequence is a certain type of integer sequence, having certain equidistribution properties. ==Definition== Let $A\; =\; \backslash$ be an infinite, strictly increasing sequence of positive integers. Then, given an integer ''q'', this sequence is said to be ergodic mod ''q'' if, for all integers $1\backslash leq\; k\; \backslash leq\; q$, one has :$\backslash lim\_\; \backslash frac\; =\; \backslash frac$ where :$N(A,t)\; =\; \backslash mbox\; \backslash$ and card is the count (the number of elements) of a set, so that $N(A,t)$ is the number of elements in the sequence ''A'' that are less than or equal to ''t'', and :$N(A,t,k,q)\; =\; \backslash mbox\; \backslash$ so $N(A,t,k,q)$ is the number of elements in the sequence ''A'', less than ''t'', that are equivalent to ''k'' modulo ''q''. That is, a sequence is an ergodic sequence if it becomes uniformly distributed mod ''q'' as the sequence is taken to infinity. An equivalent definition is that the sum :$\backslash lim\_\; \backslash frac\; \backslash sum\_$ \exp \frac = 0 vanish for every integer ''k'' with $k\; \backslash mod\; q\; \backslash ne\; 0$. If a sequence is ergodic for all ''q'', then it is sometimes said to be ergodic for periodic systems. 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「Ergodic sequence」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.