| Yazarlar |
Prof. Dr. Levent KULA
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Yusuf Yayli
Ankara Üniversitesi, Turkey |
| Özet |
| We review the algebraic structure of ℍ′ and show that ℍ′ has a scalar product that allows as to identify it with semi Euclidean double-struck E sign24. We show that a pair q and p of unit split quaternions in H determines a rotation Rqp : ℍ′ → ℍ′. Moreover, we prove that Rqp is a product of rotations in a pair of orthogonal planes in double-struck E sign 24. To do that we call upon one tool from the theory of second ordinary differential equations. © 2007 The Korean Mathematical Society. |
| Anahtar Kelimeler |
| Generalized inverse | Hyperbolic number | Rotation | Spacelike plane | Split quaternion | Timelike plane of index 1 | Timelike plane of index 2 |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Journal of the Korean Mathematical Society |
| Dergi ISSN | 0304-9914 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2007 |
| Cilt No | 44 |
| Sayı | 6 |
| Sayfalar | 1313 / 1327 |
| Doi Numarası | 10.4134/JKMS.2007.44.6.1313 |
| Atıf Sayıları | |
| SCOPUS | 99 |
