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Toplam kayıt 16, listelenen: 11-16
On conformal curves in 2-dimensional de sitter space
(Advances in Applied Clifford Algebras, 2016)
In this paper, we examine the pseudo-spherical curves, which are equivalent to each other under the conformal maps preserving a fixed point in the de Sitter 2-space, by using the Clifford algebra Cl 2,1. Also, we find the ...
A fuzzy logic approach and path algorithm for time and energy management of smart cleaning robots
(2023)
Smart home technologies (SHM) or devices provide some degree of digitally connected,
automated, or enhanced services to building occupants in residential areas and have been
becoming increasingly popular in recent years. ...
Shape curvatures of the Lorentzian plane curves
(Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 2017)
In this paper, we examine the Lorentzian similar plane curvesusing the hyperbolic structure and spherical arc length parameter. We classifyall self-similar Lorentzian plane curves and give formulas for pseudo shapecurvatures ...
Bäcklund’s theorem for n dimensional lorentzian submanifold in the minkowski space 𝔼21𝑛−1
(Results in Mathematics, 2016)
In this paper, Bäcklund’s Theorem is introduced on the Lorentzian n-submanifold of the Minkowski space 𝔼2𝑛−11 by using the method of moving frames. Also, we prove the Integrability Theorem for the Lorentzian n-submanifold ...
Some results on p-shape curvatures of non-lightlike space curves
(International Electronic Journal of Geometry, 2018)
In this paper, we obtain some findings for a non-null curve parameterized by spherical arc length. We investigate the relationship between a non-null curve with p-shape curvatures and pseudospherical curves on S21 and ...
On the eigenvalues and eigenvectors of a lorentzian rotation matrix by using split quaternions
(Advances in Applied Clifford Algebras, 2014)
In this paper, we examine eigenvalue problem of a rotation matrix in Minkowski 3 space by using split quaternions. We express the eigenvalues and the eigenvectors of a rotation matrix in term of the coefficients of the ...