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Browsing Mathematics by Title
Now showing items 82-101 of 131
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(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 ...
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(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 ...
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(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 ...
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(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 ...
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(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 ...
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(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, ...
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(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 ...
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(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 ...
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(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 ...
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(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 ...
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(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 ...
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(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 ...
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(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 ...
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(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 ...
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(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 ...
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(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 ...
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(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 ...
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(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 ...
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(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 ...
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(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 ...
Now showing items 82-101 of 131
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