REAL PIECEWISE ALGEBRAIC VARIETY

作     者：Ren-hong Wang Yi-sheng Lai (Institute of Mathematical sciences, Dalian University of Technology, Dalian 116024, China) 

作者机构：Institute of Mathematical sciences Dalian University of Technology Dalian 116024 China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2003年第21卷第4期

页      面：473-480页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by The National Natural Science Foundation of China No.69973010 19871010 and10271022 

主　　题：Dimension Real piecewise algebraic variety Cμ spline ring. 

摘      要：We give definitions of real piecewise algebraic variety and its dimension. By using the techniques of real radical ideal, P-radical ideal, affine Hilbert polynomial, Bernstein-net form of polynomials on simplex, and decomposition of semi-algebraic set, etc., we deal with the dimension of the real piecewise algebraic variety and real Nullstellensatz in Cμ spline ring.