翻訳と辞書 Words near each other ・ Binodini Dasi ・ Binodini Girls' High School ・ Binokor Tashkent ・ Binola, West Virginia ・ Binoli ・ Binomial ・ Binomial (polynomial) ・ Binomial approximation ・ Binomial coefficient ・ Binomial differential equation ・ Binomial distribution ・ Binomial heap ・ Binomial identity ・ Binomial inverse theorem ・ Binomial nomenclature ・ Binomial number ・ Binomial options pricing model ・ Binomial pair ・ Binomial proportion confidence interval ・ Binomial QMF ・ Binomial regression ・ Binomial ring ・ Binomial series ・ Binomial sum variance inequality ・ Binomial test ・ Binomial theorem ・ Binomial transform ・ Binomial type ・ Binomial voting system ・ Binomio de Oro de América 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 Binomial number ： ウィキペディア英語版 Binomial number In mathematics, specifically in number theory, a binomial number is an integer which can be obtained by evaluating a homogeneous polynomial containing two terms. It is a generalization of a Cunningham number. == Definition == A Binomial number is an integer obtained by evaluating a homogeneous polynomial containing two terms, also called a binomial. The form of this binomial is $\backslash scriptstyle\; x^n\; \backslash ,\backslash pm\backslash ,\; y^n$, with $\backslash scriptstyle\; x\; \backslash ,\; >\; \backslash ,\; y$ and $\backslash scriptstyle\; n\; \backslash ,\; >\; \backslash ,\; 1$. However, since $\backslash scriptstyle\; x^n\; \backslash ,-\backslash ,\; y^n$ is always divisible by $\backslash scriptstyle\; x\; \backslash ,-\backslash ,\; y$, when studying the numbers generated from the version with the negative sign, they are usually divided by $\backslash scriptstyle\; x\; \backslash ,-\backslash ,\; y$ first. Binomial numbers formed this way form Lucas sequences. Specifically: :$U\_n(a+b,ab)=\backslash frac,\; \backslash ,$ and $V\_n(a+b,ab)=a^n+b^n\; \backslash ,$ Binomial numbers are a generalization of a Cunningham numbers, and it will be seen that the Cunningham numbers are Binomial numbers where $\backslash scriptstyle\; y\; \backslash ,=\backslash ,\; 1$. Other subsets of the Binomial numbers are the Mersenne numbers and the Repunits. 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「Binomial number」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.