The Application of Euler-Rodrigues Formula over Hyper-Dual Matrices
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.15, sa.2, ss.266-276, 2022 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 15 Sayı: 2
- Basım Tarihi: 2022
- Doi Numarası: 10.36890/iejg.1127216
- Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.266-276
- Anahtar Kelimeler: Dual numbers, hyper-dual numbers, Euler-Rodrigues formula, Euler?s theorem, THEOREM, NUMBERS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
The Lie group over the hyper-dual matrices and its corresponding Lie algebra are first introduced in this study. One of Euler's strategies called the Euler-Rodrigues formula is applied to the matrices of hyper-dual rotations. The fundamental relationship between the hyper-dual numbers and the dual numbers allows us to apply the formula on dual lines and two intersecting real lines in the three dimensional dual and Euclidean spaces, respectively.