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- W2912678675 abstract "Quaternions, which are found in many fields, have been studied for a long time. The interest in dual quaternions has also increased after real quaternions. Nagaraj and Bharathi developed the basic theories of these studies. The Serret–Frenet Formulae for dual quaternion-valued functions of one real variable are derived. In this paper, by making use of the results of some previous studies, helixes and harmonic curvature concepts in Q D 3 and Q D 4 are considered and a characterization for a dual harmonic curve to be a helix is given." @default.
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- W2912678675 date "2019-01-22" @default.
- W2912678675 modified "2023-09-27" @default.
- W2912678675 title "Some Characterizations for a Quaternion-Valued and Dual Variable Curve" @default.
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- W2912678675 doi "https://doi.org/10.3390/sym11020125" @default.
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