翻訳と辞書 Words near each other ・ Sun Zhengcai ・ Sun Zhifeng ・ Sun Zhigang ・ Sun Zhigang incident ・ Sun Zhihong ・ Sun Zhijun ・ Sun Zhiwei ・ Sun Zhonghuan ・ Sun Zhongshan (film) ・ Sun Zhongtong ・ Sun Zhu ・ Sun Zi Bing Fa Yu San Shi Liu Ji ・ Sun Zi's Tactics ・ Sun Ziyue ・ Sun Zoom Spark ・ Sun's curious identity ・ Sun, Louisiana ・ Sun, Moon, and Talia ・ Sun, Sex and Suspicious Parents ・ Sun, Stone, and Shadows ・ Sun, Sun, Sun ・ Sun, West Virginia ・ Sun-1 ・ Sun-2 ・ Sun-3 ・ Sun-4 ・ Sun-60 ・ Sun-7 Chesterfield Series ・ Sun-Air of Scandinavia ・ Sun-burst soft coral 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 Sun's curious identity ： ウィキペディア英語版 Sun's curious identity In combinatorics, Sun's curious identity is the following identity involving binomial coefficients, first established by Zhi-Wei Sun in 2002: :$$ (x+m+1)\sum_^m(-1)^i\dbinom\dbinom -\sum_^\dbinom(-4)^i=(x-m)\dbinom. After Sun's publication of this identity, five other proofs were obtained by various mathematicians: they are Panholzer and Prodinger's proof via generating functions, Merlini and Sprugnoli's proof using Riordan arrays, Ekhad and Mohammed's proof by the WZ method, Chu and Claudio's proof with the help of Jensen's formula, and Callan's combinatorial proof involving dominos and colorings. ==References== *. *. *. *. *. *. *. 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「Sun's curious identity」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.