Yazar "Yüce, Salim" için listeleme
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De Moivre's and Euler's formulas for the matrices of octonions
Bektaş, Özcan; Yüce, Salim (Natl Acad Sciences India, 2019)The purpose of this paper is to obtain de Moivre's and Euler's formulas for the matrices of octonions, and to find the powers and the roots of these matrices. A simple method is provided to find the powers of 8x8 matrices ... -
A new approach on electromagnetism with dual number coefficient octonion algebra
Chanyal, Bhupesh Chandra; Chanyal, Sunil Kumar; Bektaş, Özcan; Yüce, Salim (World Scientific Publ Co Pte Ltd, 2016)Dual number coefficient octonion (DNCO) is one of the kind of octonion, it has 16 components with an additional dual unit epsilon. Starting with DNCO algebra, we develop the generalized electromagnetic field equations of ... -
On the quaternionic focal curves
In this study, a brief summary about quaternions and quaternionic curves are firstly presented. Also, the definition of focal curve is given. The focal curve of a smooth curve consists of the centers of its osculating ... -
Quaternionic osculating curves in Euclidean and semi-Euclidean space
Bektaş, Özcan; Gürses, Nurten Bayrak; Yüce, Salim (Taylor & Francis Ltd, 2016)In this study, the osculating curves in Euclidean space E-3 and E-4, well known in differential geometry, are studied through the instrumentality of quaternions. We inoculate sundry delineations for quaternionic osculating ... -
Serret-frenet formulas for octonionic curves
Bektaş, Özcan; Yüce, Salim (Soc Paranaense Matematica, 2020)In this paper, we define spatial octonionic curves (SOC) in R( )(7)and octonionic curves (OC) in R-8 by using octonions. Firstly, we determine Serret-Frenet equations, and curvatures of the SOC in R-7. Then, Serret-Frenet ...
