Research Article

Quadratic Formulas for Generalized Quaternions

Number: 028 August 15, 2012
EN TR

Quadratic Formulas for Generalized Quaternions

Abstract

In this paper, we aim to find basic methods for calculation of th eroots of a generalized quaternionic

quadratic polynomial.

Keywords

References

  1. [1] Olmez, O., "Generalized Quaternionsand Applications", Master Thesis,Ankara University, 2006
  2. [2] Zhang, S. Z., Mu, D. L., "Quadratic equations over noncommutative division rings", J. Math. Res.Exposition 14, 260-264, (1994)
  3. [3] R. Micheal Porter, " Quaternionic linear and quadratic equations", Journal of Natural Geometry 11, 101-106, (1997)
  4. [4] Niven, I., "Equations in quaternions", American Math. Monthly 48, 654-661,(1941)
  5. [5] Huang, L.,So, W., "Quadratic formulas for quaternions", Applied Math.Letters, 15(2002) 533-540
  6. [6] Kula, L., "Split Quaternions and Geometric Applications", Ph. D. Thesis, Ankara University, 2003

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

August 15, 2012

Submission Date

May 15, 2012

Acceptance Date

July 15, 2012

Published in Issue

Year 2012 Number: 028

APA
Ata, E., Kemer, Y., & Atasoy, A. (2012). Quadratic Formulas for Generalized Quaternions. Journal of Science and Technology of Dumlupınar University, 028, 27-34. https://izlik.org/JA83HL95YE
AMA
1.Ata E, Kemer Y, Atasoy A. Quadratic Formulas for Generalized Quaternions. DPÜFBED. 2012;(028):27-34. https://izlik.org/JA83HL95YE
Chicago
Ata, Erhan, Yasemin Kemer, and Ali Atasoy. 2012. “Quadratic Formulas for Generalized Quaternions”. Journal of Science and Technology of Dumlupınar University, nos. 028: 27-34. https://izlik.org/JA83HL95YE.
EndNote
Ata E, Kemer Y, Atasoy A (August 1, 2012) Quadratic Formulas for Generalized Quaternions. Journal of Science and Technology of Dumlupınar University 028 27–34.
IEEE
[1]E. Ata, Y. Kemer, and A. Atasoy, “Quadratic Formulas for Generalized Quaternions”, DPÜFBED, no. 028, pp. 27–34, Aug. 2012, [Online]. Available: https://izlik.org/JA83HL95YE
ISNAD
Ata, Erhan - Kemer, Yasemin - Atasoy, Ali. “Quadratic Formulas for Generalized Quaternions”. Journal of Science and Technology of Dumlupınar University. 028 (August 1, 2012): 27-34. https://izlik.org/JA83HL95YE.
JAMA
1.Ata E, Kemer Y, Atasoy A. Quadratic Formulas for Generalized Quaternions. DPÜFBED. 2012;:27–34.
MLA
Ata, Erhan, et al. “Quadratic Formulas for Generalized Quaternions”. Journal of Science and Technology of Dumlupınar University, no. 028, Aug. 2012, pp. 27-34, https://izlik.org/JA83HL95YE.
Vancouver
1.Erhan Ata, Yasemin Kemer, Ali Atasoy. Quadratic Formulas for Generalized Quaternions. DPÜFBED [Internet]. 2012 Aug. 1;(028):27-34. Available from: https://izlik.org/JA83HL95YE

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