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- W1748065486 abstract "The review of modern study of algebraic, geometric and differential properties of quaternionic (Q) numbers with their applications. Traditional and tensor formulation of Q-units with their possible representations are discussed and groups of Q-units transformations leaving Q-multiplication rule form-invariant are determined. A series of mathematical and physical applications is offered, among them use of Q-triads as a moveable frame, analysis of Q-spaces families, Q-formulation of Newtonian mechanics in arbitrary rotating frames, and realization of a Q-Relativity model comprising all effects of Special Relativity and admitting description of kinematics of non-inertial motion. A list of Quaternionic Coincidences is presented revealing surprising interconnection between basic relations of some physical theories and Q-numbers mathematics." @default.
- W1748065486 created "2016-06-24" @default.
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- W1748065486 date "2005-01-21" @default.
- W1748065486 modified "2023-09-27" @default.
- W1748065486 title "Quaternions and Biquaternions: Algebra, Geometry and Physical Theories" @default.
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