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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 posynomial ： ウィキペディア英語版 posynomial A posynomial, also known as a posinomial in some literature, is a function of the form : $f(x\_1,\; x\_2,\; \backslash dots,\; x\_n)\; =\; \backslash sum\_^K\; c\_k\; x\_1^\}$ where all the coordinates $x\_i$ and coefficients $c\_k$ are positive real numbers, and the exponents $a\_$ are real numbers. Posynomials are closed under addition, multiplication, and nonnegative scaling. For example, : $f(x\_1,\; x\_2,\; x\_3)\; =\; 2.7\; x\_1^2x\_2^x\_3^\; +\; 2x\_1^x\_3^$ is a posynomial. Posynomials are not the same as polynomials in several independent variables. A polynomial's exponents must be non-negative integers, but its independent variables and coefficients can be arbitrary real numbers; on the other hand, a posynomial's exponents can be arbitrary real numbers, but its independent variables and coefficients must be positive real numbers. This terminology was introduced by Richard J. Duffin, Elmor L. Peterson, and Clarence Zener in their seminal book on Geometric programming. ==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「posynomial」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.