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040 _aAIKTC-KRRC
_cAIKTC-KRRC
100 _924786
_aİskender, Öztürk
245 _aElliptical rotations with hybrid numbers
250 _aVol.55(1), Mar
260 _aNew Delhi
_bSpringer
_c2024
300 _a23-39p.
520 _aIn this article, some geometric interpretations and applications of hybrid numbers, which unify elliptic, hyperbolic and dual numbers, are given. First, the definition of an elliptical (complex) plane is given, and elliptic rotations in this plane are examined using hybrid number multiplication. Also, mutually orthogonal planar elliptical rotations in four-dimensional space are discussed. At last, matrix forms of a non-parabolic rotation transformation are expressed, and Rodrigues and Cayley rotation transformations for an elliptical hybrid vector are proved.
650 0 _94642
_aHumanities and Applied Sciences
700 _924787
_aÖzdemir, Mustafa
773 0 _tIndian journal of pure and applied mathematics
_dNew Delhi Indian National Science Academy
_x0019-5588
856 _uhttps://link.springer.com/article/10.1007/s13226-022-00343-5
_yClick here
942 _2ddc
_cAR