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Mechanical theorem proving in the surfaces using the characteristic set method and Wronskian determinant

文献类型：期刊论文

作者Feng RuYong1; Yu JianPing2
刊名SCIENCE IN CHINA SERIES A-MATHEMATICS
出版日期2008-10-01
卷号51期号:10页码:1763-1774
关键词mechanical theorem proving Wu-Ritt's characteristic set method local theory of surface Wronskian determinant
ISSN号1006-9283
DOI10.1007/s11425-008-0053-8
英文摘要In this paper, we generalize the method of mechanical theorem proving in curves to prove theorems about surfaces in differential geometry with a mechanical procedure. We improve the classical result on Wronskian determinant, which can be used to decide whether the elements in a partial differential field are linearly dependent over its constant field. Based on Wronskian determinant, we can describe the geometry statements in the surfaces by an algebraic language and then prove them by the characteristic set method.
资助项目National Key Basic Research Project of China[2004CB318000]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000258886300002
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/6214]  
专题系统科学研究所
通讯作者Feng RuYong
作者单位1.Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
2.Univ Sci & Technol Beijing, Dept Math & Mech, Beijing 100083, Peoples R China
推荐引用方式
GB/T 7714		 Feng RuYong,Yu JianPing. Mechanical theorem proving in the surfaces using the characteristic set method and Wronskian determinant[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2008,51(10):1763-1774.
APA Feng RuYong,&Yu JianPing.(2008).Mechanical theorem proving in the surfaces using the characteristic set method and Wronskian determinant.SCIENCE IN CHINA SERIES A-MATHEMATICS,51(10),1763-1774.
MLA Feng RuYong,et al."Mechanical theorem proving in the surfaces using the characteristic set method and Wronskian determinant".SCIENCE IN CHINA SERIES A-MATHEMATICS 51.10(2008):1763-1774.

入库方式： OAI收割

来源：数学与系统科学研究院

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