Recent Submissions

  • Commutative Hypercomplex Numbers and the Geometry of Two Sets 

    Kyrov, Vladimir A.; Кыров, Владимир А. (Сибирский федеральный университет. Siberian Federal University, 2020-05)
    The main task of the theory of phenomenologically symmetric geometries of two sets is the classification of such geometries. In this paper, by complexing with associative hypercomplex numbers, functions of a pair of ...
  • Enumeration of Bi-Commutative–AG-groupoids 

    Rashad, Muhammad; Ahmad, Imtiaz; Shah, Muhammad; Saeid, A. Borumand; Рашад, Мухаммед; Ахмад, Имтиаз; Шах, Мухаммед; Саид, А. Боруманд (Сибирский федеральный университет. Siberian Federal University, 2020-05)
    In this paper, we introduce (left, right) bi-commutative AG-groupoids and provide a simple method to test whether an arbitrary AG-groupoid is bi-commutative AG-groupoid or not. We also explore some of the general properties ...
  • On the Orbits of Nilpotent 7-dimensional Lie Algebras in 4-dimensional Complex Space 

    Loboda, Alexander V.; Akopyan, Ripsime S.; Krutskikh, Vladislav V.; Лобода, Александр В.; Акопян, Рипсиме С.; Крутских, Владислав В. (Сибирский федеральный университет. Siberian Federal University, 2020-05)
    We study one-parameter families of 7-dimensional nilpotent indecomposable Lie algebras and the orbits of holomorphic realizations of such algebras in a 4-dimensional complex space. It is shown, in contrast to the orbits ...
  • Colorings of the Graph K ᵐ 2 + Kn 

    Hung, Le Xuan; Хунг, Ле Хуан (Сибирский федеральный университет. Siberian Federal University, 2020-05)
    In this paper, we characterize chromatically unique, determine list-chromatic number and characterize uniquely list colorability of the graph G = Km 2 + Kn. We shall prove that G is χ-unique, ch(G) = m + n, G is uniquely ...
  • Exact Solution of 3D Navier–Stokes Equations 

    Koptev, Alexander V.; Коптев, Александр В. (Сибирский федеральный университет. Siberian Federal University, 2020-05)
    Procedure for constructing exact solutions of 3D Navier–Stokes equations for an incompressible fluid flow is proposed. It is based on the relations representing the previously obtained first integral of the Navier–Stokes ...
  • On Some Examples of Systems of Transcendent Equations 

    Kytmanov, Alexander M.; Khodos, Olga V.; Кытманов, Александр М.; Ходос, Ольга В. (Сибирский федеральный университет. Siberian Federal University, 2020-05)
    This article discusses examples of transcendent systems of equations of a general form. The residue integrals are determined over the cycles associated with the system. Formulas are given for their calculation and their ...
  • On Construction of Positive Closed Currents with Prescribed Lelong Numbers 

    Khedhiri, Hedi; Хедхири, Хеди (Сибирский федеральный университет. Siberian Federal University, 2020-05)
    We establish that a sequence (Xk)k∈N of analytic subsets of a domain Ω in Cn, purely dimensioned, can be released as the family of upper-level sets for the Lelong numbers of some positive closed current. This holds ...
  • On Limit Theorem for the Number of Vertices of the Convex Hulls in a Unit Disk 

    Khamdamov, Isakjan M.; Хамдамов, Исакжан М. (Сибирский федеральный университет. Siberian Federal University, 2020-05)
    This paper is devoted to further investigation of the property of a number of vertices of convex hulls generated by independent observations of a two-dimensional random vector with regular distributions near the boundary ...
  • Global in Time Results for a Parabolic Equation Solution in Non-rectangular Domains 

    Bouzidi, Louanas; Kheloufi, Arezki; Бузиди, Луанас; Хелоуфи, Арезки (Сибирский федеральный университет. Siberian Federal University, 2020-05)
    This article deals with the parabolic equation ∂tw − c(t)∂2x w = f in D, D = { (t, x) ∈ R2 : t > 0, φ1 (t) < x < φ2(t) } with φi : [0,+∞[→ R, i = 1, 2 and c : [0,+∞[→ R satisfying some conditions and the problem ...
  • Magnetic Susceptibility and EPR Study of Bi₅Nb₃−₃ₓCo₃ₓO₁₅−δ 

    Zhuk, Nadezhda A.; Lutoev, Vladimir P.; Beznosikov, Dmitriy S.; Nizovtsev, Andrey N.; Rychkova, Lubov V.; Жук, Надежда А.; Лютoев, Владимир П.; Безнoсикoв, Дмитрий С.; Низовцев, Андрей Н.; Рычкoва, Любoвь В. (Сибирский федеральный университет. Siberian Federal University, 2020-05)
    Magnetic susceptibility, microstructure and EPR of cobalt-containing solid solutions with layered perovskite-like structure Bi5Nb3−3xCo3xO15−δ have been studied. Solid solutions of Bi5Nb3−3xCo3xO15−δ (x60.005) can be ...
  • LP -bound for the Fourier Transform of Surface-Carried Measures Supported on Hypersurfaces with D∞ Type Singularities 

    Soleeva, Nigina A.; Солеева, Нигина А. (Сибирский федеральный университет. Siberian Federal University, 2020-05)
    Estimate for Fourier transform of surface-carried measures supported on non-convex surfaces of three-dimensional Euclidean space is considered in this paper.The exact convergence exponent was found wherein the Fourier ...