@article {IOPORT.05510761, author = {Akyar, Bedia}, title = {Dual quaternions in spatial kinematics in an algebraic sense.}, year = {2008}, journal = {Turkish Journal of Mathematics}, volume = {32}, number = {4}, issn = {1300-0098}, pages = {373-391}, publisher = {Scientific and Technical Research Council of Turkey (T\"UBITAK), Ankara}, abstract = {Hamilton operators for dual quaternions are maps $H^+$, $H^-$ from the space of dual quaternions to the space of $4 \times 4$ matrices such that the dual quaternion multiplication obeys $\hat{\bold p}\hat{\bold q} = H^+(\hat{\bold p})\hat{\bold q} = H^-(\hat{\bold q})\hat{\bold p}$. The author considers one-parameter motions and relative motions in dual quaternion form. He provides explicit formulas for transformation and transition matrices and time derivatives in terms of Hamilton operators.}, reviewer = {Hans-Peter Schr\"ocker (Innsbruck)}, identifier = {05510761}, }