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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 Rational difference equation ： ウィキペディア英語版 Rational difference equation A rational difference equation is a nonlinear difference equation of the form〔Skellam, J.G. (1951). “Random dispersal in theoretical populations”, ''Biometrika'' 38 196−–218, eqns (41,42)〕〔(Dynamics of third-order rational difference equations with open problems and Conjectures )〕〔(Dynamics of Second-order rational difference equations with open problems and Conjectures )〕〔Newth, Gerald, "World order from chaotic beginnings", ''Mathematical Gazette'' 88, March 2004, 39-45.〕 : $x\_\; =\; \backslash frac\}\}~,$ where the initial conditions $x\_,\; x\_,\backslash dots,\; x\_$ are such that the denominator never vanishes for any . ==First-order rational difference equation== A first-order rational difference equation is a nonlinear difference equation of the form : $w\_\; =\; \backslash frac.$ When $a,b,c,d$ and the initial condition $w\_$ are real numbers, this difference equation is called a Riccati difference equation.〔 Such an equation can be solved by writing $w\_t$ as a nonlinear transformation of another variable $x\_t$ which itself evolves linearly. Then standard methods can be used to solve the linear difference equation in $x\_t$. 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「Rational difference equation」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.