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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 Wiener sausage ： ウィキペディア英語版 Wiener sausage : ''For the food sometimes called a Wiener (sausage), see hot dog or Vienna sausage.'' In the mathematical field of probability, the Wiener sausage is a neighborhood of the trace of a Brownian motion up to a time ''t'', given by taking all points within a fixed distance of Brownian motion. It can be visualized as a sausage of fixed radius whose centerline is Brownian motion. The Wiener sausage was named after Norbert Wiener by because of its relation to the Wiener process; the name is also a pun on Vienna sausage, as "Wiener" means "Viennese" in German. The Wiener sausage is one of the simplest non-Markovian functionals of Brownian motion. Its applications include stochastic phenomena including heat conduction. It was first described by , and it was used by to explain results of a Bose–Einstein condensate, with proofs published by . ==Definitions== The Wiener sausage ''W''δ(''t'') of radius δ and length ''t'' is the set-valued random variable on Brownian paths b (in some Euclidean space) defined by :$W\_\backslash delta(t)()$ is the set of points within a distance δ of some point b(''x'') of the path b with 0≤''x''≤''t''. 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「Wiener sausage」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.