翻訳と辞書 Words near each other ・ Littleton/Downtown (RTD) ・ Littleton/Mineral (RTD) ・ Littleton/Route 495 (MBTA station) ・ Littletooth sandeater ・ Littletown ・ Littletown, Arizona ・ Littletown, County Durham ・ Littletown, Liversedge, Kirklees ・ Littletown, New Jersey ・ Littleville Lake (Massachusetts) ・ Littleville, Alabama ・ Littlewick Green ・ Littlewood ・ Littlewood conjecture ・ Littlewood Nunataks ・ Littlewood polynomial ・ Littlewood subordination theorem ・ Littlewood Treaty Document ・ Littlewood's 4/3 inequality ・ Littlewood's law ・ Littlewood's rule ・ Littlewood's Tauberian theorem ・ Littlewood's three principles of real analysis ・ Littlewoods ・ Littlewoods Mail Order Stores Ltd v IRC ・ Littlewoods Pools building ・ Littlewood–Offord problem ・ Littlewood–Paley theory ・ Littlewood–Richardson rule ・ Littleworth 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 Littlewood polynomial ： ウィキペディア英語版 Littlewood polynomial In mathematics, a Littlewood polynomial is a polynomial all of whose coefficients are +1 or −1. Littlewood's problem asks how large the values of such a polynomial must be on the unit circle in the complex plane. The answer to this would yield information about the autocorrelation of binary sequences. They are named for J. E. Littlewood who studied them in the 1950s. ==Definition== A polynomial :$p(x)\; =\; \backslash sum\_^n\; a\_i\; x^i\; \backslash ,$ is a ''Littlewood polynomial'' if all the $a\_i\; =\; \backslash pm\; 1$. ''Littlewood's problem'' asks for constants ''c''1 and ''c''2 such that there are infinitely many Littlewood polynomials ''p''''n'' , of increasing degree ''n'' satisfying :$c\_1\; \backslash sqrt\; \backslash le\; |\; p\_n(z)\; |\; \backslash le\; c\_2\; \backslash sqrt\; .\; \backslash ,$ for all $z$ on the unit circle. The Rudin-Shapiro polynomials provide a sequence satisfying the upper bound with $c\_2\; =\; \backslash sqrt\; 2$. No sequence is known (as of 2008) which satisfies the lower bound. 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「Littlewood polynomial」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.