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Browsing Mathematics by Title

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  • Neutron monitor generated data distributions in quantum variational Monte Carlo 
    Kussainov, A. S.; Pya, N. (Journal of Physics: Conference Series, 2016-09-05)
    We have assessed the potential applications of the neutron monitor hardware as random number generator for normal and uniform distributions. The data tables from the acquisition channels with no extreme changes in the ...
  • Nonlinear Regression Analysis of the generalized Logistic Model as an Actuarial life contingency model 
    Kadenova, Aida (Nazarbayev University School of Science and Technology, 2019-08-08)
    The aim of this project is to analyze three different population models such as Gompertz, Logistic and Generalized Logistic based USA population data. Finding the appropriate model is essential in actuarial application. ...
  • Nonlinear Schrodinger Equation 
    Kazbek, Moldir (Nazarbayev University School of Science and Technology, 2019-08-08)
    Rogue waves are fascinating destructive phenomena in nature that have not been fully explained so far [1-3]. Oceanographers commonly agree that linear theories cannot provide explanations for their existence[6,7]. Only ...
  • Nonlinear Waves in Rods and Beams of Power-Law Materials 
    Wei, Dongming; Skrzypacz, Piotr; Yu, Xijun (Journal of Applied Mathematics, 2017-07-13)
    Some novel traveling waves and special solutions to the 1D nonlinear dynamic equations of rod and beam of power-law materials are found in closed forms. The traveling solutions represent waves of high elevation that ...
  • A note on the convexity of the Moore–Penrose inverse 
    Nordström, Kenneth (Linear Algebra and its Applications, 2018-02-01)
    Abstract This note is a sequel to an earlier study (Nordström [7]) on convexity properties of the inverse and Moore–Penrose inverse, in which the following question was raised. Given nonnegative definite matrices A and B ...
  • Notes on the description of join-distributive lattices by permutations 
    Adaricheva, Kira; Cz´edli, G´abor (2012)
    Let L be a join-distributive lattice with length n and width (Ji L) k. There are two ways to describe L by k − 1 permutations acting on an n-element set: a combinatorial way given by P.H. Edelman and R. E. Jamison in ...
  • Numerical computations of complexification of Legendrian knots 
    Yerzhigit, Bauyrzhan (Nazarbayev University School of Science and Technology, 2019-04-29)
    With the recent interest in knots, it is interesting to study their complexification. We have chosen to study Legendrian knots as they have the property that we can reconstruct the original knot from its projection. This ...
  • On a stochastic interacting particle system with pushing dynamics 
    Abdukadyrov, Nurlan (Nazarbayev University School of Science and Technology, 2016)
    In this paper we study a stochastic two-particle system on Z where particles interact each other by pushing dynamics. We derive the explicit formulas of the transition probability and of the probability distributions of ...
  • On complex algebras of subalgebras 
    Adaricheva, Kira; Pilitowska, Agata; Stanovsky, David (2006)
    Let V be a variety of algebras. We establish a condition (so called generalized entropic property), equivalent to the fact that for every algebra A 2 V, the set of all subalgebras of A is a subuniverse of the complex ...
  • On deflations in extended QR algorithms 
    Mach, Thomas; Vandebril, Raf (SIAM Journal on Matrix Analysis and Applications, 2014)
    In this paper we discuss the deflation criterion used in the extended QR algorithm based on the chasing of rotations. We provide absolute and relative perturbation bounds for this deflation criterion. Further, we present ...
  • On implicational bases of closure system with unique critical sets 
    Adaricheva, Kira; Nation, J.B. (2013)
    We show that every optimum basis of a nite closure system, in D. Maier's sense, is also right-side optimum, which is a parameter of a minimum CNF representation of a Horn Boolean function. New parameters for the size ...
  • On K-means algorithm with the use of Mahalanobis distances 
    Melnykov, Igor; Melnykov, Volodymyr (Statistics & Probability Letters, 2014-01-01)
    Abstract The K-means algorithm is commonly used with the Euclidean metric. While the use of Mahalanobis distances seems to be a straightforward extension of the algorithm, the initial estimation of covariance matrices can ...
  • On logistic-normal distribution 
    Almagambetova, Ayanna; Zakiyeva, Nazgul (Nazarbayev University School of Science and Technology, 2016-04)
    Existing distributions do not always provide an adequate fit to the complex real world data. Hence, the interest in developing more flexible statistical distributions remains strong in statistics profession. In this project, ...
  • On scattered convex geometries 
    Adaricheva, Kira; Pouzet, Maurice (2015)
    A convex geometry is a closure space satisfying the anti-exchange axiom. For several types of algebraic convex geometries we describe when the collection of closed sets is order scattered, in terms of obstructions to the ...
  • On the Buckling of Euler Graphene Beams Subject to Axial Compressive Load 
    Elgindi, Mohamed B. M.; Wei, Dongming; Soukiassian, Yeran; Liu, Yu (World Journal of Engineering and Technology, 2014)
    In this paper, we consider the buckling of an Euler-Bernoulli graphene beam due to an axial compressive load. We formulate the problem as a non-linear (eigenvalue) two-point boundary value problem, prove some properties ...
  • On the Global Solvability of a Class of Fourth- Order Nonlinear Boundary Value Problems 
    Elgindi, Mohamed B. M.; Wei, Dongming (Mathematics Faculty Publications, 2012)
    In this paper we prove the global solvability of a class of fourth-order nonlinear boundary value problems that govern the deformation of a Hollomon’s power-law plastic beam subject to an axial compression and nonlinear ...
  • On the QR decomposition of backslashfancyscript H -matrices 
    Benner, Peter; Mach, Thomas (Computing (Vienna/New York), 2010-06-09)
    The hierarchical ( backslashfancyscriptH -) matrix format allows storing a variety of dense matrices from certain applications in a special data-sparse way with linear-polylogarithmic complexity. Many operations from linear ...
  • 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 ...