Some applications of Clifford algebra to geometries

被引：0

作者：

Li, HB ^{[1
]}

机构：

[1] Arizona State Univ, Dept Phys & Astron, Tempe, AZ 85287 USA

来源：

AUTOMATED DEDUCTION IN GEOMETRY, PROCEEDINGS | 1999年 / 1669卷

关键词：

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper focuses on a Clifford algebra model for geometric computations in 2D and 3D geometries. The model integrates symbolic representation of geometric entities, such as points, lines, planes, circles and spheres, with that of geometric constraints such as angles and distances, and is appropriate for both symbolic and numeric computations. Details on how to apply this model are provided and examples are given to illustrate the application.

引用

页码：156 / 179

页数：24

共 50 条

[41] CLIFFORD ALGEBRA AND MASSLESS PARTICLES [J].

SANTHANA.TS ;

CHANDRAS.PS .

PROGRESS OF THEORETICAL PHYSICS, 1969, 41 (01) :264-&

[42] Clifford algebras and geometric algebra [J].

G. Aragón ;

J. L. Aragón ;

M. A. Rodríguez .

Advances in Applied Clifford Algebras, 1997, 7 (2) :91-102

[43] Haar wavelets is a Clifford algebra [J].

Sommen, F. .

Numerical Analysis and Applied Mathematics, 2007, 936 :768-768

[44] Clifford Algebra, Symmetries, and Vectors [J].

Int J Quant Chem, 1 (359)

[45] On computational complexity of Clifford algebra [J].

Budinich, Marco .

JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (05)

[46] Hyperbolic Geometry with Clifford Algebra [J].

Hongbo Li .

Acta Applicandae Mathematica, 1997, 48 :317-358

[47] Clifford algebra, geometry and physics [J].

Pavsic, M .

NATURE OF TIME: GEOMETRY, PHYSICS AND PERCEPTION, 2003, 95 :165-174

[48] Gravitoelectromagnetism in a complex Clifford algebra [J].

Ulrych, S .

PHYSICS LETTERS B, 2006, 633 (4-5) :631-635

[49] Clifford algebra as quantum language [J].

Baugh, J ;

Finkelstein, DR ;

Galiautdinov, A ;

Saller, H .

JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (04) :1489-1500

[50] On the Clifford algebra of a binary form [J].

Kulkarni, RS .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (08) :3181-3208

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