Dual Split Quaternions and Screw Motion in 3-Dimensional Lorentzian Space

被引：13
|
作者：
Ozkaldi, Siddika [1 ]
Gundogan, Halit [1 ]
机构：
[1] Kirikkale Univ, Dept Math, Fac Sci & Arts, TR-71450 Yahsihan, Kirikkale, Turkey
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2011年 / 21卷 / 01期
关键词：
Lorentzian space; Lorentzian matrix multiplication; Cayle formula; dual split quaternions; screw motion;
D O I：
10.1007/s00006-010-0236-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we obtain screw axis of a displacement in L(3). Then by using the L-screw axis, L-Rodrigues equation for a spatial displacement is obtained in the space L(3). Moreover, the components of a dual split quaternion are obtained by replacing the L-Euler parameters with their split dual versions.
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页码：193 / 202
页数：10
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