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Browsing Mathematics by Title

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  • On the solvability of euler graphene beam subject to axial compressive load 
    Elgindi, Mohamed B. M.; Wei, Dongming; Elgindi, T.M. (arXiv.org, 2014)
    In this paper we formulate the equilibrium equation for a beam made of graphene sub- jected to some boundary conditions and acted upon by axial compression and nonlinear lateral constrains as a fourth-order nonlinear ...
  • On the solvability of the Brinkman-forchheimer-extended darcy Equation 
    Skrzypacz, Piotr; Wei, Dongming (arXiv.org, 2016)
    The nonlinear Brinkman-Forchheimer-extended Darcy equation is used to model some porous medium ow in chemical reactors of packed bed type. The results concerning the existence and uniqueness of a weak solution are ...
  • On the theory of function-valued mappings and its application to the processing of hyperspectral images 
    Otero, Daniel; La Torre, Davide; Michailovich, Oleg; Vrscay, Edward R. (Signal Processing, 2017-05-01)
    Abstract The concept of a mapping, which takes its values in an infinite-dimensional functional space, has been studied by the mathematical community since the third decade of the last century. This effort has produced a ...
  • On the well-posedness of the Boltzmann's moment system of equations in fourth approximation 
    Issagali, Aizhan (Nazarbayev University School of Science and Technology, 2016-05)
    We study the one-dimensional non-linear non-stationary Boltzmann's moment system of equations in fourth approxi- mation with the tools developed by Sakabekov in [4],[5] and [6]. For the third approximation system Sakabekov ...
  • Optimal Design of Helical Springs of Power Law Materials 
    Wei, Dongming; Fyrillas, Marios; Otemissov, Adilet; Bekishev, Rustam (arXiv.org, 2016)
    In this paper the geometric dimensions of a compressive helical spring made of power law materials are optimized to reduce the amount of material. The mechanical constraints are derived to form the geometric programming ...
  • Optimization of convex geometries: component quadratic and general 
    Myrzakul, Zhanbota (Nazarbayev University School of Science and Technology, 2016)
    In this Capstone Project, we worked with a class of closure systems called convex geometries, which are closure systems with a closure operator that satisfies the anti-exchange property. We first looked at the result of ...
  • Optimum basis of finite convex geometry 
    Adaricheva, Kira (2016)
    Convex geometries form a subclass of closure systems with unique criticals, or UC-systems. We show that the F-basis introduced in [6] for UC- systems, becomes optimum in convex geometries, in two essential parts of ...
  • Ordered direct implication basis of a finite closure system 
    Adaricheva, Kira; Nation, J.B.; Rand, R. (2012)
    Closure system on a nite set is a unifying concept in logic programming, relational data bases and knowledge systems. It can also be presented in the terms of nite lattices, and the tools of economic description of a ...
  • Pairwise Overlap and Misclassification in Cluster Analysis 
    Akynkozhayev, Birzhan (Nazarbayev University School of Science and Technology, 2015)
    Separation of data into distinct groups is one of the most important tools of learning and means of obtaining valuable information from data. Cluster analysis studies the ways of distributing objects into groups with similar ...
  • Penalty finite element approximations of the stationary power- law Stokes problem 
    Lefton, Lew; Wei, Dongming (Journal of Numerical Mathematics, 2003)
    Finite element approximations of the stationary power-law Stokes problem using penalty formulation are considered. A priori error estimates under appropriate smoothness assumptions on the solutions are established without ...
  • Periodic solutions of a graphene based model in micro-electro-mechanical pull-in device 
    Wei, D.; Kadyrov, S.; Kazbek, Z. (Applied and Computational Mechanics, 2017)
    Phase plane analysis of the nonlinear spring-mass equation arising in modeling vibrations of a lumped mass attached to a graphene sheet with a fixed end is presented. The nonlinear lumped-mass model takes into account the ...
  • Positive entropy invariant measures on the space of lattices with escape of mass 
    Kadyrov, Shirali (2010)
    On the space of unimodular lattices, we construct a sequence of invariant probability measures under a singular diagonal element with high entropy and show that the limit measure is 0
  • Positive undecidable numberings in the Ershov hierarchy 
    Mustafa, M.; Sorbi, Andrea (2012)
    We give a su cient condition for an in nite computable family of 􀀀1 a sets, to have computable positive but undecidable numberings, where a is a notation for a nonzero computable ordinal. This extends a theorem proved ...
  • Power Series Solutions of a NODE Systemin the Complex Domain 
    Madiyeva, Aigerim (Nazarbayev University School of Science and Technology, 2018-05-10)
    In this Capstone Project, we analyze a second order nonlinear ordinary differential equation (NODE), y^" (x)=f(y^',y) that is impossible to solve analytically. First, using the Taylor Power Series method, we obtain a series ...
  • Pulse vaccination of a time-delayed SIRS epidemic model with nonlinear incidence rate 
    Yeleussinova, Meruyert (Nazarbayev University School of Science and Technology, 2019-05-03)
    This work deals with an application of pulse vaccination for a varying size of the population of time-delayed 𝑆𝐼𝑅𝑆 epidemic model. The dynamics of the infectious disease depends on the threshold value, 𝑅0, known as ...
  • Realization of abstract convex geometries by point configurations. Part I 
    Adaricheva, Kira; Wild, Marcel (2007)
    The Edelman-Jamison problem is to characterize those abstract convex geometries that are representable by a set of points in the plane. We show that some natural modification of the Edelman-Jamison problem is equivalent to ...
  • Representation of Convex Geometries by Convex Structures on a Plane 
    Bolat, Madina (Nazarbayev University School of Science and Technology, 2016-05)
    Convex geometries are closure systems satisfying anti-exchange axiom with combinatorial properties. Every convex geometry is represented by a convex geometry of points in n-dimensional space with a special closure ...
  • Representations of Convex Geometries 
    Adaricheva, Kira (2015-06)
  • Representing finite convex geometries by relatively convex sets 
    Adaricheva, Kira (2011)
    A closure system with the anti-exchange axiom is called a convex geometry. One geometry is called a sub-geometry of the other if its closed sets form a sublattice in the lattice of closed sets of the other. We prove that ...
  • Rogers semilattices of families of two embedded sets in the Ershov hierarchy 
    Badaev, Serikzhan A.; Mustafa, M. (2012)
    Let a be a Kleene's ordinal notation of a nonzero computable ordinal. We give a su cient condition on a, so that for every 􀀀1 a {computable family of two embedded sets, i.e. two sets A;B, with A properly contined in B, ...