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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 Regular semi-algebraic system ： ウィキペディア英語版 Regular semi-algebraic system In computer algebra, a regular semi-algebraic system is a particular kind of triangular system of multivariate polynomials over a real closed field. == Introduction == Regular chains and triangular decompositions are fundamental and well-developed tools for describing the complex solutions of polynomial systems. The notion of a regular semi-algebraic system is an adaptation of the concept of a regular chain focusing on solutions of the real analogue: semi-algebraic systems. Any semi-algebraic system $S$ can be decomposed into finitely many regular semi-algebraic systems $S\_1,\; \backslash ldots,\; S\_e$ such that a point (with real coordinates) is a solution of $S$ if and only if it is a solution of one of the systems $S\_1,\; \backslash ldots,\; S\_e$.〔Changbo Chen, James H. Davenport, John P. May, Marc Moreno-Maza, Bican Xia, Rong Xiao. Triangular decomposition of semi-algebraic systems. Proceedings of 2010 International Symposium on Symbolic and Algebraic Computation (ISSAC 2010), ACM Press, pp. 187–194, 2010.〕 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「Regular semi-algebraic system」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.