Yazar "Gündoğan, Halit" seçeneğine göre listele

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    Öğe
    Conics and Quadrics in Lorentzian Space
    (2018) Çiçek, Ayşe; Karakuş, Sıddıka Özkaldı; Gündoğan, Halit
    In this paper we give geometric definitions of the Lorentzian ellipse, Lorentzian hyperbola, and Lorentzianparabola as plane curves in Lorentzian plane. Moreover we obtain the equations of Lorentzian revolutionellipsoid, Lorentzian revolution hyperboloid and Lorentzian revolution paraboloid respectively
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    Lorentzian cylinder Lie group in R51 and its a C∞-action
    (2005) Gündoğan, Halit; Pektaş, Kadriye
    Bu çalışmadaR_14 de Lorentz birim küresi veR_15 de Lorentz silindiri üzerinde birer grup işlemi tanımlandı ve bu işlemlerle birlikte bunların birer Lie grubu olduğu gösterildi. R\ de 1-yarıçaplı Lorentz silindir Lie grubunun, keyfi yarıçaplı Lorentz silindir manifoldu üzerine bir C{\infty}-etkisi tanımlanarak bu etkinin bazı özellikleri incelendi. Ayrıca bu etki R_15 üzerine genişletildi.
  • Küçük Resim
    Öğe
    The inequalities on dual numbers and their topological structures
    (Tubitak Scientific & Technological Research Council Turkey, 2023) Aktaş, Büşra; Durmaz, Olgun; Gündoğan, Halit
    Inequalities are frequently used in various fields of mathematics to prove theorems. The existence of inequalities contributes significantly to the foundations of such branches. In this paper, we study the properties of order relations in the system of dual numbers, which is inspired by order relations defined on real numbers. Besides, some special inequalities that are used in various fields of mathematics, such as Cauchy-Schwarz, Minkowski, and Chebyshev are studied in this framework. An example is also provided to validate our research findings.