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
SANTHANA.TS
CHANDRAS.PS
PROGRESS OF THEORETICAL PHYSICS, 1969, 41 (01): : 264 - &
[42] The idempotent manifold in a Clifford algebra
Schmeikal, Bernd
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2006, 16 (02) : 159 - 165
[43] Clifford Algebra, Symmetries, and Vectors
Int J Quant Chem, 1 (359):
[44] Haar wavelets is a Clifford algebra
Sommen, F.
Numerical Analysis and Applied Mathematics, 2007, 936 : 768 - 768
[45] On computational complexity of Clifford algebra
Budinich, Marco
JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (05)
[46] Gravitoelectromagnetism in a complex Clifford algebra
Ulrych, S
PHYSICS LETTERS B, 2006, 633 (4-5) : 631 - 635
[47] Hyperbolic Geometry with Clifford Algebra
Hongbo Li
Acta Applicandae Mathematica, 1997, 48 : 317 - 358
[48] Clifford algebra, geometry and physics
Pavsic, M
NATURE OF TIME: GEOMETRY, PHYSICS AND PERCEPTION, 2003, 95 : 165 - 174
[49] Clifford algebra as quantum language
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
Kulkarni, RS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (08) : 3181 - 3208

← 1 2 3 4 5 →