About parallel computing on spatial rotations in spin mesomorphic structures

Michal M. Nesterov; Victor I. Tarkhanov

doi:10.1117/12.562728

28 May 2004 About parallel computing on spatial rotations in spin mesomorphic structures

Michal M. Nesterov, Victor I. Tarkhanov

Proceedings Volume 5401, Micro- and Nanoelectronics 2003; (2004) https://doi.org/10.1117/12.562728
Event: Micro- and Nanoelectronics 2003, 2003, Zvenigorod, Russian Federation

Abstract

An approach to coherent parallel computing on finite spatial rotations is considered. It is shown that such rotations are elements of 4-dimensional (4D) space and to design any algorithms with them we need to change Boole logic to more complicated rotational one. The latter is provided by formalism of Cayley-Klein parameters, which is compatible with geometric Clifford algebra and all its elements of pure and mixed grades: vectors, scalars, paravectors, quaternions, spinors, etc.

Citation Download Citation

Michal M. Nesterov and Victor I. Tarkhanov "About parallel computing on spatial rotations in spin mesomorphic structures", Proc. SPIE 5401, Micro- and Nanoelectronics 2003, (28 May 2004); https://doi.org/10.1117/12.562728

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