翻訳と辞書 Words near each other ・ Sidobre ・ SIDOG Entertainment Technologies inc. - (SETi) ・ Sidoine Benoît ・ Sidoine Oussou ・ Sidok sub-county ・ Sidoktaya ・ Sidoktaya Township ・ Sidol ・ Sidolówka ・ Sidon ・ Sidon (disambiguation) ・ Sidon (surname) ・ Sidon District ・ Sidon Eyalet ・ Sidon Sea Castle ・ Sidon sequence ・ Sidon Soap Museum ・ Sidon Synagogue ・ Sidon, Mississippi ・ Sidonia ・ Sidonia Hedwig Zäunemann ・ Sidonia Jędrzejewska ・ Sidonia von Borcke ・ Sidonie de la Houssaye ・ Sidonie Goossens ・ Sidonie Gruenberg ・ Sidonie of Bavaria ・ Sidonie of Poděbrady ・ Sidonie of Saxony ・ Sidonie Rakotoarisoa 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 Sidon sequence ： ウィキペディア英語版 Sidon sequence In number theory, a Sidon sequence (or Sidon set), named after the Hungarian mathematician Simon Sidon, is a sequence ''A'' =  of natural numbers in which all pairwise sums ''a''''i'' + ''a''''j'' (''i'' ≤ ''j'') are different. Sidon introduced the concept in his investigations of Fourier series. The main problem in the study of Sidon sequences, posed by Sidon,〔. (Addendum ), 19 (1944), 208.〕 is to find the largest number of elements a Sidon sequence ''A'' can have smaller than some given number ''x''. Despite a large body of research,〔.〕 the question remained unsolved for almost 80 years. In 2010, it was finally settled by J. Cilleruelo, I. Ruzsa and C. Vinuesa. ==Early results== Paul Erdős and Pál Turán proved that, for every ''x'' > 0, the number of elements smaller than ''x'' in a Sidon sequence is at most $\backslash sqrt+O(\backslash sqrt())$. Using a construction of J. Singer, they showed that there exist Sidon sequences that contain $\backslash sqrt(1-o(1))$ terms less than ''x''. 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「Sidon 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.