国家自然科学基金(s10271022)

作品数：3被引量：11H指数：3
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Real zeros of the zero-dimensional parametric piecewise algebraic variety被引量：3
《Science China Mathematics》2009年第4期817-832,共16页LAI YiSheng WANG RenHong WU JinMing 
supported by National Natural Science Foundation of China (Grant Nos. 10271022, 60373093,60533060);the Natural Science Foundation of Zhejiang Province (Grant No. Y7080068);the Foundation of Department of Education of Zhejiang Province (Grant Nos. 20070628 and Y200802999)
The piecewise algebraic variety is the set of all common zeros of multivariate splines. We show that solving a parametric piecewise algebraic variety amounts to solve a finite number of parametric polynomial systems c...
关键词：piecewise algebraic variety partial cylindrical algebraic decomposition number of real zeros 14M15 14Q10 41A15 41A46 65D07 65D10 
The Nother and Riemann-Roch type theorems for piecewise algebraic curve被引量：5
《Science China Mathematics》2007年第2期165-182,共18页Yi-sheng LAI & Ren-hong WANG College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China 
This work was supported by the National Natural Science Foundation of China (Grant Nos. 10271022, 60373093,60533060)
A piecewise algebraic curve is a curve determined by the zero set of a bivariate spline function. In this paper, the Nother type theorems for Cμpiecewise algebraic curves are obtained. The theory of the linear series...
关键词：PIECEWISE ALGEBRAIC CURVE PLACE cycle COMPLETE linear series. 
PIECEWISE SEMIALGEBRAIC SETS被引量：6
《Journal of Computational Mathematics》2005年第5期503-512,共10页Zhu, CG Wang, RH 
Supported by the National Natural Science Foundation of China （Grant Nos. 10271022 and 60373093）.
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 Rn satisfying a boolean combination of multivari...
关键词：Algebraic geometry Semialgebraic geometry Tarski-Seidenberg Principle Multivariate splines Piecewise semialgebraic sets 
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