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Browsing Mathematics by Title
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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 ...
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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 ...
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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 ...
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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
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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Adaricheva, Kira
(2015-06)
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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 ...
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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, ...
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Aurentz, Jared L.; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S.
(arXiv, 2016-11-08)
Two generalizations of the companion QR algorithm by J.L. Aurentz, T. Mach, R. Vandebril, and D.S. Watkins, SIAM Journal on Matrix Analysis and Applications, 36(3): 942--973, 2015, to compute the roots of a polynomial are ...
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Kadyrov, Shirali; Kleinbock, D.; Lindenstrauss, E.; Margulis, G.A.
(2014)
Singular systems of linear forms were introduced by Khintchine
in the 1920s, and it was shown by Dani in the 1980s that they
are in one-to-one correspondence with certain divergent orbits of oneparameter
diagonal groups ...
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Shakir, Akyl
(Nazarbayev University School of Science and Technology, 2018-05)
We apply singularity analysis in complex time to investigate the solutions of a dynamical system of one degree of freedom related to the oscillations of a Micro-Electro-Mechanical System (MEMS) of nonlinear elasticity. ...
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Wei, Dongming; Liu, Yu
(Applied Mathematical Sciences, 2012)
In this paper, it is shown that D. Shelupsky's generalized sine func-
tion, and various general sine functions developed by P. Drabek, R.
Manasevich and M. Otani, P. Lindqvist, including the generalized Ja-
cobi elliptic ...
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Shena, Joniald; Kominis, Yannis; Bountis, Anastasios; Kovanis, Vassilios
(PHYSICAL REVIEW E, 2020)
Arrays of coupled semiconductor lasers are systems possessing radically complex dynamics that makes
them useful for numerous applications in beam forming and beam shaping. In this work, we investigate the
spatial ...
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Kominis, Yannis; Kovanis, Vassilios; Bountis, Tassos
(ArXiv, 2017-10-04)
The fundamental active photonic dimer consisting of two coupled quantum well lasers is inves-tigated in the context of the rate equation model. Spectral transition properties and exceptional points are shown to occur under ...
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Kominis, Yannis; Kovanis, Vassilios; Bountis, Tassos
(arXiv, 2018-08)
The fundamental active photonic dimer consisting of two coupled quantum well lasers is inves-
tigated in the context of the rate equation model. Spectral transition properties and exceptional
points are shown to occur ...
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Baki, Zhuldyzay
(Nazarbayev University School of Science and Technology, 2016-05)
In this report we present an SEIS model for infectious diseases with
latent period and no immune response for spatially heterogeneous environment. Spatial heterogeneity is designed by several metapopulations. It was shown ...