THE SERRET-FRENET FORMULAS FOR DUAL QUATERNION-VALUED FUNCTIONS OF A SINGLE REAL VARIABLE

SIVRIDAG A. İ., GUNES R., KELES S.

MECHANISM AND MACHINE THEORY, cilt.29, sa.5, ss.749-754, 1994 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 5
  • Basım Tarihi: 1994
  • Doi Numarası: 10.1016/0094-114x(94)90116-3
  • Dergi Adı: MECHANISM AND MACHINE THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.749-754
  • İnönü Üniversitesi Adresli: Evet

Özet

Dual quaternion-valued functions of a single real variable define a curve in ID4. The Serret-Frenet formulae for a curve in ID3, well known [1], it is rederived with the help of dual spatialquaternions. Making use of these formulae, we derived the Serret-Frenet formulae for dual quaternion-valued functions in ID4.