1 Ocak 2019 Dergi makalesi Açık Erişim

Dagdeviren, Ali; Yuce, Salim

Citation Style Language JSON

{
  "DOI": "10.2298/FIL1904037D", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Dagdeviren", 
      "given": " Ali"
    }, 
    {
      "family": "Yuce", 
      "given": " Salim"
    }
  ], 
  "container_title": "FILOMAT", 
  "id": "71949", 
  "issue": "4", 
  "issued": {
    "date-parts": [
      [
        2019, 
        1, 
        1
      ]
    ]
  }, 
  "page": "1037-1046", 
  "title": "Dual Quaternions and Dual Quaternionic Curves", 
  "type": "article-journal", 
  "volume": "33"
}