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Dual Quaternions and Dual Quaternionic Curves

Dagdeviren, Ali; Yuce, Salim


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        "name": "Dagdeviren, Ali"
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        "affiliation": "Yildiz Tech Univ, Dept Math, Davutpasa Campus, Istanbul, Turkey", 
        "name": "Yuce, Salim"
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    "description": "After a brief review of the different types of quaternions, we develop a new perspective for dual quaternions with dividing two parts. Due to this new perspective, we will define the isotropic and non-isotropic dual quaternions. Then we will also give the basic algebraic concepts about the dual quaternions. Moreover, we define isotropic dual quaternionic curves and non-isotropic dual quaternionic curves. Via these definitions we find Serret-Frenet formulae for isotropic dual quaternionic curves. Finally, we will use these results to derive the Serret-Frenet formulae for non-isotropic dual quaternionic curves.", 
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