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  • Discharging of dust particles of different sizes in an argon afterglow plasma 
    Denysenko, I.B.; Mikikian, M.; Azarenkov, N.A. (Problems of Atomic Science and Technology, 2022)
    The dust charge distribution function (DCDF) in an argon plasma afterglow is obtained by solving numerically the master equation describing dust discharging as a one-step stochastic process. The calculated DCDFs are compared ...
  • Disclination ensembles in graphene 
    Rozhkov, М.А.; Kolesnikova, А.L.; Yasnikov, I.S.; Romanov, А.Е. (Физика низких температур, 2018)
    We consider graphene disclination networks (DNs) — periodic distributions of disclination defects. Disclinations manifest themselves as 4-, 5-, 7- or 8-member carbon rings in otherwise 6-member ring ideal 2D graphene crystal ...
  • Discontinuous Birkhoff theorem 
    Petrenko, O.; Protasov, I.V. (Український математичний вісник, 2007)
    A topological space X is called totally recurrent if every mapping f : X → X has a recurrent point. We prove that a Hausdorff space X is totally recurrent if and only if X is either finite or a one-point compactification ...
  • Discovery and study of Comet 67P/Churyumov−Gerasimenko, the main target of the Rosetta space mission 
    Churyumov, K. (Кинематика и физика небесных тел, 2005)
    Rosetta, a European space vehicle, which was 15 years in development, headed for short-period Comet 67P/Churyumov–Gerasimenko in February 2004. In September 1969 S. Gerasimenko and the author went to the Alma-Ata Astrophysical ...
  • Discovery of Four Species of Trichogramma (Hymenoptera, Trichogrammatidae), New for the Fauna of England 
    Fursov, V.N. (Вестник зоологии, 2000)
    Four species of Trichogramma Westw. are recorded at the first time for the fauna of England – T. danubiense Birova et Kazimirova (known only from Slovakia), T. talitzkii Djuritsh (known from Moldova), T. lacustre Sorokina ...
  • Discrepancy Analysis of Load–Displacement in the Combination Space for Concrete Box Girder Assessment 
    Ye, X.F.; Ogai, H.; Kim, C.W. (Проблемы прочности, 2018)
    The combination space concept had its origin in the theory of subspace and combinatorics. The combination space may be treated as the space reconstruction through combination, as well as the subspace one. Several new ...
  • Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems 
    Nguyen Buong (Український математичний журнал, 2003)
    The convergence rates of the regularized solution as well as its Galerkin approximations for nonlinear monotone ill-posed problems in a Banach space are established on the basis of the choice of a regularization parameter ...
  • Discrepancy Principle for Solving Periodic Integral Equations of the First Kind 
    Semenova, E.V.; Volynets, E.A. (Математичне та комп'ютерне моделювання. Серія: Фізико-математичні науки, 2017)
    Fully discrete projection method with discrepancy principle is considered for solving periodic integral equations of the first kind with unknown smoothness of solution. For proposed approach it is proved the optimality and ...
  • Discrete breathers in an one-dimensional array of magnetic dots 
    Pylypchuk, R.L.; Zolotaryuk, Y. (Физика низких температур, 2015)
    The dynamics of the one-dimensional array of magnetic particles (dots) with the easy-plane anisotropy is investigated. The particles interact with each other via the magnetic dipole interaction and the whole system ...
  • Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups 
    Ghorbel, A.; Hamrouni, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if G = N × A is a connected, simply connected, nilpotent Lie ...
  • Discrete Fourier Analysis and Chebyshev Polynomials with G₂ Group 
    Li, H.; Sun, J.; Xu, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The discrete Fourier analysis on the 30°-60°-90° triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group G₂, which leads to the definition of four families ...
  • Discrete Gravity Models and Loop Quantum Gravity: a Short Review 
    Dupuis, M.; Ryan, J.P.; Speziale, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We review the relation between Loop Quantum Gravity on a fixed graph and discrete models of gravity. We compare Regge and twisted geometries, and discuss discrete actions based on twisted geometries and on the discretization ...
  • Discrete Integrable Equations over Finite Fields 
    Kanki, M.; Mada, J.; Tokihiro, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion ...
  • Discrete limit theorems for Estermann zeta-functions. I 
    Laurincikas, A.; Macaitiene, R. (Algebra and Discrete Mathematics, 2007)
    A discrete limit theorem in the sense of weak convergence of probability measures on the complex plane for the Estermann zeta-function is obtained. The explicit form of the limit measure in this theorem is given.
  • Discrete limit theorems for Estermann zeta-functions. II 
    Laurincikas, A.; Macaitiene, R. (Algebra and Discrete Mathematics, 2008)
    A discrete limit theorem in the sense of weak convergence of probability measures in the space of meromorphic functions for the Estermann zeta-function with explicitly given the limit measure is proved.
  • Discrete Minimal Surface Algebras 
    Arnlind, J.; Hoppe, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We consider discrete minimal surface algebras (DMSA) as generalized noncommutative analogues of minimal surfaces in higher dimensional spheres. These algebras appear naturally in membrane theory, where sequences of their ...
  • Discrete models of the self-dual and anti-self-dual equations 
    Sushch, V. (Нелинейные граничные задачи, 2004)
    In the case of a gauge-invariant discrete model of Yang-Mills theory difference self-dual and anti-self-dual equations are constructed.
  • Discrete optimization problem 
    Kotina, E.D. (Вопросы атомной науки и техники, 2004)
    In the paper a mathematical model is considered that allows simultaneous optimization of a program motion and an ensemble of perturbed motions. Analytical expressions for functional variations are suggested that help ...
  • Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems 
    Miki, H.; Goda, H.; Tsujimoto, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in ...
  • Discrete-Time Goldfishing 
    Calogero, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The original continuous-time ''goldfish'' dynamical system is characterized by two neat formulas, the first of which provides the N Newtonian equations of motion of this dynamical system, while the second provides the ...