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Complex brackets and balanced complex 1st-order difference polynomials in 4-dimensional Minkowski space 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 卷号: 51, 期号: 12, 页码: 2137-2148
Authors:  Huang Lei;  Li HongBo
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conformal geometric algebra (CGA)  null bracket algebra (NBA)  geometric invariant  mechanical proving  normal forms  68T15  03B35  
A symbolic approach to, polyhedral scene analysis by parametric calotte propagation 期刊论文
ROBOTICA, 2008, 卷号: 26, 页码: 483-501
Authors:  Li, Hongbo;  Zhao, Lina;  Chen, Ying
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structure geometry  polyhedral scene analysis  Grassmann-Cayley algebra  bracket algebra  constraint satisfaction  
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
Authors:  Zhang, Ning;  Li, Hong-bo
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mechanical theorem proving  geometric invariance  bracket algebra  affine geometry  affine bracket algebra  
On Miquel's five-circle theorem 期刊论文
COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS, 2005, 卷号: 3519, 页码: 217-228
Authors:  Li, HB;  Xu, RH;  Zhang, N
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Miquel's theorem  mathematics mechanization  conformal geometric algebra  null bracket algebra  "breefs"  
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
Authors:  Li, HB
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Cayley algebra  bracket algebra  automated theorem proving  projective geometry  affine geometry  conics  
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
Authors:  Li, HB;  Wu, YH
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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
Authors:  Li, HB;  Wu, YH
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Cayley algebra  bracket algebra  automated theorem proving  projective incidence geometry