Makale detayı · 2022
The Application of Euler-Rodrigues Formula over Hyper-Dual Matrices
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
YÖKSİS
OpenAlex
Açık erişim · bronze
SJR Q3
TR Index
Atıf 4
Yüzdelik 69.0%
FWCI 0.76
- Yıl
- 2022
- ISSN
1307-5624- Tür
- article
Veri kaynağı ayrımı
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Özet
İngilizce (OpenAlex)
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.
Konular
- Mathematics and Applications
- Orbital Angular Momentum in Optics
- Algebraic and Geometric Analysis
Birincil konu Mathematics and Applications