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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 Computable real function ： ウィキペディア英語版 Computable real function In mathematical logic, specifically computability theory, a function $f\; \backslash colon\; \backslash mathbb\; \backslash to\; \backslash mathbb$ is ''sequentially computable'' if, for every computable sequence $\backslash \_^\backslash infty$ of real numbers, the sequence $\backslash \_^\backslash infty$ is also computable. A function $f\; \backslash colon\; \backslash mathbb\; \backslash to\; \backslash mathbb$ is ''effectively uniformly continuous'' if there exists a recursive function $d\; \backslash colon\; \backslash mathbb\; \backslash to\; \backslash mathbb$ such that, if then A real function is ''computable'' if it is both sequentially computable and effectively uniformly continuous,〔see 〕 These definitions can be generalized to functions of more than one variable or functions only defined on a subset of $\backslash mathbb^n.$ The generalizations of the latter two need not be restated. A suitable generalization of the first definition is: Let $D$ be a subset of $\backslash mathbb^n.$ A function $f\; \backslash colon\; D\; \backslash to\; \backslash mathbb$ is ''sequentially computable'' if, for every $n$-tuplet $\backslash left(\; \backslash \_^\backslash infty,\; \backslash ldots\; \backslash \_^\backslash infty\; \backslash right)$ of computable sequences of real numbers such that $(\backslash forall\; i)\; \backslash quad\; (x\_,\; \backslash ldots\; x\_)\; \backslash in\; D\; \backslash qquad\; ,$ the sequence $\backslash \_^\backslash infty$ is also computable. ==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「Computable real function」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.