Nother-type theorem of piecewise algebraic curves

被引：16

作者：

Wang, RH ^{[1
]}

Zhu, CG ^{[1
]}

机构：

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

来源：

PROGRESS IN NATURAL SCIENCE-MATERIALS INTERNATIONAL | 2004年 / 14卷 / 04期

关键词：

piecewise algebraic curves; bivariate splines; Nother-type theorem; cross-cut partition;

D O I：

10.1080/10020070412331343531

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The piecewise algebraic curve is a generalization of the classical algebraic curve. This paper describes the improvement of the Nother-type theorem of piecewise algebraic curves on the star region. Moreover, the Nother-type theorem of piecewise algebraic curves on the cross-cut partition is discussed.

引用

页码：309 / 313

页数：5

共 17 条

[1] Nother-type theorem of piecewise algebraic curves
WANG Renhong and ZHU Chungang(Institute of Mathematical Sciences
Progress in Natural Science, 2004, (04) : 23 - 27
[2] Nother-type theorem of piecewise algebraic curves on triangulation
Zhu, Chun-gang
Wang, Ren-hong
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (09): : 1227 - 1232
[3] Nother-type theorem of piecewise algebraic curves on quasi-cross-cut partition
Zhu ChunGang
Wang RenHong
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (04): : 701 - 708
[4] Cayley-Bacharach theorem of piecewise algebraic curves
Wang, RH
Zhu, CG
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 163 (01) : 269 - 276
[5] Nöther-type theorem of piecewise algebraic curves on triangulation
Chun-gang Zhu
Ren-hong Wang
Science in China Series A: Mathematics, 2007, 50 : 1227 - 1232
[6] Nther-type theorem of piecewise algebraic curves on triangulation
Chun-gang ZHU~+ Ren-hong WANG Institute of Mathematical Sciences
Science in China(Series A:Mathematics), 2007, (09) : 1227 - 1232
[7] Nöther-type theorem of piecewise algebraic curves on quasi-cross-cut partition
ChunGang Zhu
RenHong Wang
Science in China Series A: Mathematics, 2009, 52 : 701 - 708
[8] Nther-type theorem of piecewise algebraic curves on quasi-cross-cut partition
ZHU ChunGang & WANG RenHong School of Mathematical Sciences
Science China Mathematics, 2009, (04) : 701 - 708
[9] Real intersection points of piecewise algebraic curves
Wu, Jinming
APPLIED MATHEMATICS LETTERS, 2012, 25 (10) : 1299 - 1303
[10] An upper bound of the Bezout number for piecewise algebraic curves
Wu, Jinming
Gong, Dianxuan
Zhang, Xiaolei
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 273 : 214 - 224

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