Now showing items 1-12 of 12

    • Bäcklund’s theorem for n dimensional lorentzian submanifold in the minkowski space 𝔼21𝑛−1 

      Şimşek, Hakan; Özdemir, Mustafa (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 ...
    • A cost-effective framework for the optimal placement of drones in smart cities 

      Ülgen, Semail; Al-Turjman, Fadi; Daboul, Reda; Zahmatkesh, Hadi (CRC Press, 2019)
      This chapter presents the existing studies related to the use of unmanned aerial vehicles in the internet of things era. It outlines problem description and the proposed framework. The chapter discusses the performance ...
    • Generating hyperbolical rotation matrix for a given hyperboloid 

      Şimşek, Hakan; Özdemir, Mustafa (Linear Algebra and Its Applications, 2016)
      Hyperbolic rotation is hyperbolically the motion of a smooth object on general hyperboloids given by −a1x2+a2y2+a3z2=±λ, λ ∈R+. In this paper, we investigate the hyperbolical rotation matrices in order to get the motion ...
    • Investigation of the effects of IMPULS Maturity model with a simulation-based analysis 

      Altan, Cansu; Başarır, Ali Cem; Aydemir, Erdal (10th International Symposium onIntelligent Manufacturing and Service Systems, 2019)
      Industry 4.0 enables to produce products that are complex in production in a short time and in high quality by entering factories and making our production environments smarter. Industry 4.0 is defined as the digitization ...
    • Mazeret/Telafi sınavı çizelgeleme problemi için bir hedef programlama modeli 

      Saraç, Tuğba; Özçelik, Feristah; Erdoğan, Hatice (Pamukkale University Journal of Engineering SciencesPamukkale Üniversitesi Mühendislik Bilimleri Dergisi, 2020)
      In the universities and other educational institutions, make-up/compensation examinations are made for students who cannot take the exam at the scheduled exam periods due to examinations, health problems and so on. Especially ...
    • On conformal curves in 2-dimensional de sitter space 

      Şimşek, Hakan; Özdemir, Mustafa (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 ...
    • On focal curves of null Cartan curves 

      Şimşek, Hakan (Turkish Journal of Mathematics, 2017)
      The focal curve, which is determined as the locus of centers of osculating pseudo-spheres of a null Cartan curve, is investigated in Minkowski (n+2)-space Mn+2. Moreover, a curve called acceleration focal curve of a null ...
    • On the eigenvalues and eigenvectors of a lorentzian rotation matrix by using split quaternions 

      Özdemir, Mustafa; Erdoğdu, Melek; Şimşek, Hakan (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 ...
    • Rotations on a lightcone in minkowski 3-Space 

      Şimşek, Hakan; Özdemir, Mustafa (Advances in Applied Clifford Algebras, Springer, 2017)
      In this paper the generalization of the rotations on any lightcone in Minkowski 3-space ℝ1,2𝑔 is given. The rotation motion on the lightcone is examined by means of a bilinear form and Lorentzian notions. We use the ...
    • Shape curvatures of the Lorentzian plane curves 

      Şimşek, Hakan; Özdemir, Mustafa (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 ...
    • Similar and self-similar curves in minkowski n-space 

      Şimşek, Hakan; Özdemir, Mustafa (Bulletin of Korean Mathematical Society, 2015)
      In this paper, we investigate the similarity transformations in the Minkowski n-space. We study the geometric invariants of nonnull curves under the similarity transformations. Besides, we extend the fundamental theorem ...
    • Some results on p-shape curvatures of non-lightlike space curves 

      Şimşek, Hakan; Özdemir, Mustafa (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 ...