Paper Information

Journal:   IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE   FALL 2006 , Volume 30 , Number A3; Page(s) 245 To 258.
 
Paper: 

DUAL SPLIT QUATERNIONS AND SCREW MOTION IN MINKOWSKI 3-SPACE

 
 
Author(s):  KULA L., YAYLI Y.*
 
* ANKARA UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF MATHEMATICS 06100 TANDOGAN, ANKARA, TURKEY
 
Abstract: 

In this paper, two new Hamilton operators are defined and the algebra of dual split quaternions is developed using these operators. It is shown that finite screw motions in Minkowski 3-space can be expressed by dual-number r (3×3) matrices in dual Lorentzian space. Moreover, by means of Hamilton operators, screw motion is obtained in 3-dimensional Minkowski space R31.

 
Keyword(s): DUAL SPLIT QUATERNIONS, SEMI-ORTHOGONAL DUAL MATRIX, SCREW-MOTION
 
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