A simple approach to solve the kinematics and dynamics of the 4-UPS/PS (3R1T) parallel manipulator by Jaime Gallardo-Alvarado, Mario A. García-Murillo, Md Nazrul Islam, Mohammad H. Abedinnasab

“…To this end, the Klein form of the Lie algebra se(3) of the Euclidean group SE(3) is systematically applied to the velocity and reduced acceleration state in screw form of the moving platform cancelling the passive joint rates of the parallel manipulator. …”
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Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited by Kissin, Edward, Shulman, Victor S., Turovskii, Yuri V.

“…We refine Amitsur's theory of radicals in complete lattices and apply the obtained results to the theory of radicals in the lattices of subspaces of Banach spaces and in the lattices of ideals of Banach and C*-algebras and of Banach Lie algebras.…”
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