Piecewise semialgebraic sets

被引：2

作者：

Zhu, CG ^{[1
]}

Wang, RH ^{[1
]}

机构：

[1] Dalian Univ Technol, Inst Math Sci, Dalian 116024, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2005年 / 23卷 / 05期

关键词：

algebraic geometry; semialgebraic geometry; Tarski-Seidenberg principle; multivariate splines; piecewise semialgebraic sets;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Semialgebraic sets are objects which are truly a special feature of real algebraic geometry. This paper presents the piecewise semialgebraic set, which is the subset of R-n satisfying a boolean combination of multivariate spline equations and inequalities with real coefficients. Moreover, the stability under projection and the dimension of C-mu piecewise semialgebraic sets are also discussed.

引用

页码：503 / 512

页数：10

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