Kinematic Applications of Hyper-Dual Numbers

Aslan S.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.14, sa.2, ss.292-304, 2021 (ESCI, Scopus, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.36890/iejg.888373
  • Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.292-304
  • Anahtar Kelimeler: Dual numbers, E. Study mapping, hyper-dual numbers, hyper-dual angle
  • Ankara Üniversitesi Adresli: Evet

Özet

Hyper-dual numbers are a new number system that is an extension of dual numbers. A hyperdual number can be written uniquely as an ordered pair of dual numbers. In this paper, some basic algebraic properties of hyper-dual numbers are given using their ordered pair representaions of dual numbers. Moreover, the geometric interpretation of a unit hyper-dual vector is given in module as a dual line. And a geometric interpretation of a subset of unit hyper-dual sphere (the set of all unit hyper-dual vectors) is given as two intersecting perpendicular lines in 3-dimensional real vector space.