Yazar "Çakır, Hasan" için listeleme
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Dual octonions and rigid body kinematics
Çakır, Hasan; Bektaş, Özcan; Yılmaz, Ruşen (Wiley, 2024)In this paper, we first give the basic information about octonions and present the Euclidean rotation matrix formed by an octonion in seven-dimensional Euclidean space. Next, we define and introduce the -module and dual ... -
Explicit formulas for exponential of 2×2 split-complex matrices
Çakır, Hasan; Özdemir, Mustafa (Ankara University, 2022)Split-complex (hyperbolic) numbers are ordered pairs of real numbers, written in the form x + jy with j(2) - 1, used to describe the geometry of the Lorentzian plane. Since a null split-complex number does not have an ... -
Hybrid number matrices
Çakır, Hasan; Özdemir, Mustafa (2023)The aim of this study is to investigate some properties of hybrid number matrices. Firstly, we introduce hybrid numbers with some of their properties. Then we prove that any hybrid number has a 2 x 2 complex matrix ... -
Hyper dual number matrices
Bektaş, Özcan; Çakır, Hasan (Maejo University, 2023)We study hyper dual numbers and hyper dual number matrices. Firstly, we give some basic properties of dual numbers and hyper dual numbers. Next, we investigate hyper dual number matrices using the properties of dual number ...