On properties of the dual quaternions

YÜCE, Salim; ERCAN, Zeynep

On properties of the dual quaternions

Zeynep ERCAN, (Koç Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, İstanbul, Türkiye)

Salim YÜCE (Yıldız Teknik Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, İstanbul, Türkiye)

European Journal of Pure and Applied Mathematics (elektronik)

13 1

Yıl: 2011 Cilt: 4 Sayı: 2 Sayfa Aralığı: 142 - 146 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

On properties of the dual quaternions

Öz:

In this paper, Euler’s and De Moivre’s formulas for complex numbers and quaternions are generalized for the dual quaternions. Also, the matrix representation of dual quaternions is expressed. 2000 Mathematics Subject Classifications: 11R52

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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[4] W. K. Clifford. Preliminary sketch of bi-quaternions. Proc. London Math. Soc. 4. 381-395. 1873.
[5] G. Helzer. Special Relativity with acceleration. Amer. Math. Monthy, 107.3: 215-237. 2000.
[6] V.Majernik. Quaternion formulation of the Galilean space-time transformation. Acta Phy. Slovaca, 56.1: 9-14. 2006.
[7] E. Pennestrì and R. Stefanelli. Linear algebra and numerical algorithms using dual numbers. Multibody Syst. Dyn. 18.3: 323-344. 2007.
[8] E. Study. Geometrie der Dynamen, Leipzig, Germany, 1903.
[9] I. M. Yaglom. Complex Numbers in Geometry, New York, Academic, 1968.

APA	ERCAN Z, YÜCE S (2011). On properties of the dual quaternions. , 142 - 146.
Chicago	ERCAN Zeynep,YÜCE Salim On properties of the dual quaternions. (2011): 142 - 146.
MLA	ERCAN Zeynep,YÜCE Salim On properties of the dual quaternions. , 2011, ss.142 - 146.
AMA	ERCAN Z,YÜCE S On properties of the dual quaternions. . 2011; 142 - 146.
Vancouver	ERCAN Z,YÜCE S On properties of the dual quaternions. . 2011; 142 - 146.
IEEE	ERCAN Z,YÜCE S "On properties of the dual quaternions." , ss.142 - 146, 2011.
ISNAD	ERCAN, Zeynep - YÜCE, Salim. "On properties of the dual quaternions". (2011), 142-146.

APA	ERCAN Z, YÜCE S (2011). On properties of the dual quaternions. European Journal of Pure and Applied Mathematics (elektronik), 4(2), 142 - 146.
Chicago	ERCAN Zeynep,YÜCE Salim On properties of the dual quaternions. European Journal of Pure and Applied Mathematics (elektronik) 4, no.2 (2011): 142 - 146.
MLA	ERCAN Zeynep,YÜCE Salim On properties of the dual quaternions. European Journal of Pure and Applied Mathematics (elektronik), vol.4, no.2, 2011, ss.142 - 146.
AMA	ERCAN Z,YÜCE S On properties of the dual quaternions. European Journal of Pure and Applied Mathematics (elektronik). 2011; 4(2): 142 - 146.
Vancouver	ERCAN Z,YÜCE S On properties of the dual quaternions. European Journal of Pure and Applied Mathematics (elektronik). 2011; 4(2): 142 - 146.
IEEE	ERCAN Z,YÜCE S "On properties of the dual quaternions." European Journal of Pure and Applied Mathematics (elektronik), 4, ss.142 - 146, 2011.
ISNAD	ERCAN, Zeynep - YÜCE, Salim. "On properties of the dual quaternions". European Journal of Pure and Applied Mathematics (elektronik) 4/2 (2011), 142-146.