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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 Amoeba (mathematics) ： ウィキペディア英語版 Amoeba (mathematics) In complex analysis, a branch of mathematics, an amoeba is a set associated with a polynomial in one or more complex variables. Amoebas have applications in algebraic geometry, especially tropical geometry. ==Definition== Consider the function :$\backslash mathrm:\; \backslash left(\backslash backslash\backslash \backslash right)^n\; \backslash to\; \backslash mathbb\; R^n$ defined on the set of all ''n''-tuples $z=(z\_1,\; z\_2,\; \backslash dots,\; z\_n)$ of non-zero complex numbers with values in the Euclidean space $\backslash mathbb\; R^n,$ given by the formula :$\backslash mathrm(z\_1,\; z\_2,\; \backslash dots,\; z\_n)=\; (\backslash log\; |z\_1|,\; \backslash log|z\_2|,\; \backslash dots,\; \backslash log\; |z\_n|).\backslash ,$ Here, 'log' denotes the natural logarithm. If ''p''(''z'') is a polynomial in $n$ complex variables, its amoeba $\_p$ is defined as the image of the set of zeros of ''p'' under Log, so : $\_p\; =\; \backslash left\backslash \backslash backslash\backslash \backslash right)^n,\; p(z)=0\backslash right\backslash \}.\backslash ,$ Amoebas were introduced in 1994 in a book by Gelfand, Kapranov, and Zelevinsky.〔 〕 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「Amoeba (mathematics)」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.