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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 Complex base systems ： ウィキペディア英語版 Complex base systems In arithmetic, a complex base system is a positional numeral system whose radix is an imaginary (proposed by Donald Knuth in 1955) or complex number (proposed by S. Khmelnik in 1964 and Walter F. Penney in 1965〔W. Penney, A "binary" system for complex numbers, JACM 12 (1965) 247-248.〕). ==In general== Let $D$ be an integral domain $\backslash subset\; \backslash C$ and $|\backslash cdot|$ the (Archimedean) absolute value on it. A number $X\backslash in\; D$ in a positional number system is represented as an expansion : $X\; =\; \backslash pm\; \backslash sum\_^\; x\_\backslash nu\; \backslash rho^\backslash nu$, where : The cardinality $R:=|Z|$ is called the ''level of decomposition''. A positional number system or coding system is a pair :$\backslash left\backslash langle\; \backslash rho,\; Z\; \backslash right\backslash rangle$ with radix $\backslash rho$ and set of digits $Z$, and we write the standard set of digits with $R$ digits as :$Z\_R\; :=\; \backslash$. Desirable are coding systems with the features * Every number in $D$, e. g. the integers $\backslash Z$, the Gaussian integers $\backslash Z(i)$ or the integers 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「Complex base systems」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.