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Dual Quaternions and Dual Quaternionic Curves

Dagdeviren, Ali; Yuce, Salim


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  "@context": "https://schema.org/", 
  "@id": 71949, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "THY Aviat Acad, Istanbul, Turkey", 
      "name": "Dagdeviren, Ali"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Yildiz Tech Univ, Dept Math, Davutpasa Campus, Istanbul, Turkey", 
      "name": "Yuce, Salim"
    }
  ], 
  "datePublished": "2019-01-01", 
  "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.", 
  "headline": "Dual Quaternions and Dual Quaternionic Curves", 
  "identifier": 71949, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Dual Quaternions and Dual Quaternionic Curves", 
  "url": "https://aperta.ulakbim.gov.tr/record/71949"
}
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