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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 Generalized inversive congruential pseudorandom numbers ： ウィキペディア英語版 Generalized inversive congruential pseudorandom numbers An approach to nonlinear congruential methods of generating uniform pseudorandom numbers in the interval [0,1) is the Inversive congruential generator with prime modulus. A generalization for arbitrary composite moduli $m=p\_1,\backslash dots\; p\_r$ with arbitrary distinct primes $p\_1,\backslash dots\; ,p\_r\; \backslash ge\; 5$ will be present here. Let $\backslash mathbb\_\; =\; \backslash$ .For integers $a,b\; \backslash in\; \backslash mathbb\_$ with gcd (a,m) = 1 a generalized inversive congruential sequence $(y\_)\_$ of elements of $\backslash mathbb\_$ is defined by : $y\_\; =$ : $y\_\backslash equiv\; a\; y\_^\; +\; b\; \backslash pmod\; m\; \backslash textn\; \backslash geqslant\; 0$ where $\backslash varphi(m)=(p\_-1)\backslash dots\; (p\_-1)$ denotes the number of positive integers less than ''m'' which are relatively prime to ''m''. ==Example== Let take m = 15 = $3\; \backslash times\; 5\backslash ,\; a=2\; ,\; b=3$ and $y\_0=\; 1$. Hence $\backslash varphi\; (m)=\; 2\; \backslash times\; 4=8\; \backslash ,$ and the sequence $(y\_)\_=(1,5,13,2,4,7,1,\backslash dots\; )$ is not maximum. The result below shows that these sequences are closely related to the following inversive congruential sequence with prime moduli. For $1\backslash le\; i\; \backslash le\; r$ let $\backslash mathbb\_-1\backslash \},\; m\_=\; m\; /\; p\_$ and $a\_\; ,b\_\; \backslash in\; \backslash mathbb\_^\; a\_\backslash pmod\; \backslash ;\; b\backslash equiv\; m\_\; b\_\backslash pmod$ Let $(y\_)\_$ be a sequence of elements of $\backslash mathbb\_^\backslash equiv\; a\_\; (y\_^)^\; +\; b\_\; \backslash pmod\; n\; \backslash geqslant\; 0\; \backslash ;\backslash text\; \backslash ;y\_\backslash equiv\; m\_\; (y\_^)\backslash pmod$ 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「Generalized inversive congruential pseudorandom numbers」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.