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28 May 2004 About parallel computing on spatial rotations in spin mesomorphic structures
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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.
© (2004) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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