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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Automated Reducible Geometric Theorem Proving and Discovery by Grobner Basis Method
期刊论文
JOURNAL OF AUTOMATED REASONING, 2017, 卷号: 59, 期号: 3, 页码: 331-344
作者:
Zhou, Jie
;
Wang, Dingkang
;
Sun, Yao
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  |  
浏览/下载:102/0
  |  
提交时间:2018/07/30
Zero divisor
True on components
Grobner basis
Geometric theorem proving
Geometric theorem discovery
Visually Dynamic Presentation of Proofs in Plane Geometry Part 1. Basic Features and the Manual Input Method
期刊论文
JOURNAL OF AUTOMATED REASONING, 2010, 卷号: 45, 期号: 3, 页码: 213-241
作者:
Ye, Zheng
;
Chou, Shang-Ching
;
Gao, Xiao-Shan
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  |  
浏览/下载:80/0
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提交时间:2018/07/30
Geometry theorem proving
Visually dynamic presentation of proof
Dynamic geometry
Unordered geometry
Gelernter
Java Geometry Expert
Morley's theorem
Feuerbach's theorem
Pythagorean theorem
Pedal triangle
Visually Dynamic Presentation of Proofs in Plane Geometry Part 2. Automated Generation of Visually Dynamic Presentations with the Full-Angle Method and the Deductive Database Method
期刊论文
JOURNAL OF AUTOMATED REASONING, 2010, 卷号: 45, 期号: 3, 页码: 243-266
作者:
Ye, Zheng
;
Chou, Shang-Ching
;
Gao, Xiao-Shan
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  |  
浏览/下载:85/0
  |  
提交时间:2018/07/30
Geometry theorem proving
Proof with hierarchical structures
Visually dynamic presentation of proof
Dynamic geometry
Full-angle
Deductive database
Fixpoint
Unordered geometry
Hilbert geometry
Tarski geometry
A characteristic set method for ordinary difference polynomial systems
期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2009, 卷号: 44, 期号: 3, 页码: 242-260
作者:
Gao, Xiao-Shan
;
Luo, Yong
;
Yuan, Chunming
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  |  
浏览/下载:99/0
  |  
提交时间:2018/07/30
Difference polynomial
Ascending chain
Characteristic set
Coherence
Irreducibility
Zero decomposition theorem
Automated theorem proving
Mechanical theorem proving in the surfaces using the characteristic set method and Wronskian determinant
期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 卷号: 51, 期号: 10, 页码: 1763-1774
作者:
Feng RuYong
;
Yu JianPing
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浏览/下载:119/0
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提交时间:2018/07/30
mechanical theorem proving
Wu-Ritt's characteristic set method
local theory of surface
Wronskian determinant
Affine bracket algebra theory and algorithms and their applications in mechanical theorem proving
期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 卷号: 50, 期号: 7, 页码: 941-950
作者:
Zhang, Ning
;
Li, Hong-bo
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浏览/下载:93/0
  |  
提交时间:2018/07/30
mechanical theorem proving
geometric invariance
bracket algebra
affine geometry
affine bracket algebra
Algebraic representation, elimination and expansion in automated geometric theorem proving
期刊论文
AUTOMATED DEDUCTION IN GEOMETRY, 2004, 卷号: 2930, 页码: 106-123
作者:
Li, HB
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浏览/下载:85/0
  |  
提交时间:2018/07/30
Cayley algebra
bracket algebra
automated theorem proving
projective geometry
affine geometry
conics
MMP/geometer - A software package for automated geometric reasoning
期刊论文
AUTOMATED DEDUCTION IN GEOMETRY, 2004, 卷号: 2930, 页码: 44-66
作者:
Gao, XS
;
Lin, Q
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  |  
浏览/下载:83/0
  |  
提交时间:2018/07/30
geometry software
automated reasoning
geometric theorem proving
geometric theorem discovering
geometric diagram generation
intelligent dynamic geometry
Automated short proof generation for projective geometric theorems with Cayley and bracket algebras - II. Conic geometry
期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2003, 卷号: 36, 期号: 5, 页码: 763-809
作者:
Li, HB
;
Wu, YH
收藏
  |  
浏览/下载:85/0
  |  
提交时间:2018/07/30
bracket algebra
Cayley algebra
automated theorem proving
projective conic geometry
Automated short proof generation for projective geometric theorems with Cayley and bracket algebras - I. Incidence geometry
期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2003, 卷号: 36, 期号: 5, 页码: 717-762
作者:
Li, HB
;
Wu, YH
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  |  
浏览/下载:88/0
  |  
提交时间:2018/07/30
Cayley algebra
bracket algebra
automated theorem proving
projective incidence geometry