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Department of Mathematics
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Fabrication of CdSexTe1-x thin films by sequential growth using double sources
Demir, Medine; Gullu, H.H.; Terlemezoglu, M.; Parlak, Mehmet (2021-10-15)
© 2021 Elsevier B.V.CdSexTe(1-x) (CST) ternary thin films were fabricated by stacking thermally evaporated CdSe and electron beam evaporated CdTe layers. The final structure was achieved in a stoichiometric form of approxi...
LCD codes from tridiagonal Toeplitz matrices
Shi, Minjia; Özbudak, Ferruh; Xu, Li; Solé, Patrick (2021-10-01)
© 2021 Elsevier Inc.Double Toeplitz (DT) codes are codes with a generator matrix of the form (I,T) with T a Toeplitz matrix, that is to say constant on the diagonals parallel to the main. When T is tridiagonal and symmetri...
Problem-solving processes of mathematically gifted and non-gifted students
Sipahi, Yasemin; Erbaş, Ayhan Kürşat; Department of Mathematics Education (2021-8-17)
This study aimed to investigate the use of problem-solving phases and strategies of seven mathematically gifted, seven successful, and six average students attending fifth-grade in different public and private schools. The...
Computation of the Primary Decomposition of Polynomial Ideals Using Gröbner Bases
Tolgay, Betül; Karayayla, Tolga; Department of Mathematics (2021-8-06)
In this thesis, we investigate algorithms for computing primary decompositions of ideals in polynomial rings. Every ideal in a polynomial ring over a Noetherian commutative ring with identity has a primary decomposition, t...
CORRELATION DISTRIBUTION OF A SEQUENCE FAMILY GENERALIZING SOME SEQUENCES OF TRACHTENBERG
Özbudak, Ferruh; Tekin, Eda (2021-08-01)
In this paper, we give a classification of a sequence family, over arbitrary characteristic, adding linear trace terms to the function g(x) = Tr(x(d)), where d = p(2k) - p(k) + 1, first introduced by Trachtenberg. The fami...
The role of dynamic geometry software on mathematical creativity of pre-service mathematics teachers in geometry tasks
Melek, Zülal; Çakıroğlu, Erdinç; Department of Mathematics Education (2021-7-14)
The purpose of the study was to investigate the role of the dynamic geometry software on mathematical creativity of pre-service mathematics teachers in geometry tasks. The sample of the present study was five pre-service...
Coefficients of folding polynomials attached to Lie algebras of rank two
Aydoğdu, Muhammed; Küçüksakallı, Ömer; Department of Mathematics (2021-7-9)
Let g be a Lie algebra over a field F, and let h be a Cartan subalgebra of g. The dual space h∗ of h forms a root system. Reflections in the hyperplanes orthogonal to the simple roots of h∗ generate the Weyl group of g. If...
Genus-3 Lefschetz Fibrations and Exotic 4-Manifolds with b(2)(+)=3
Altunöz, Tülin (2021-06-01)
We explicitly construct a genus-3 Lefschetz fibration over S-2, whose total space is T-2 x S-2 #6 (CP2) over bar using the monodromy of Matsumoto's genus-2 Lefschetz fibration. We then construct more genus-3 Lefschetz fibr...
Stacky formulations of Einstein gravity
Berktav, Kadri İlker; Kişisel, Ali Ulaş Özgür; Tekin, Bayram; Department of Mathematics (2021-5-28)
This is a thesis on higher structures in geometry and physics. Indeed, the current work involves an extensive and relatively self-contained investigation of higher categorical and stacky structures in (vacuum) Einstein gra...
ABSTRACT SIMILARITY, FRACTALS AND CHAOS
Akhmet, Marat; Alejaily, Ejaily Milad (2021-05-01)
A new mathematical concept of abstract similarity is introduced and is illustrated in the space of infinite strings on a finite number of symbols. The problem of chaos presence for the Sierpinski fractals, Koch curve, as w...
The mapping class group is generated by two commutators
Baykur, R. Inanc; Korkmaz, Mustafa (2021-05-01)
We show that the mapping class group of any closed connected orientable surface of genus at least five is generated by only two commutators, and if the genus is three or four, by three commutators. (C) 2021 Elsevier Inc. A...
Commuting graph of A-orbits
Gilloglu, Ismail S.; Ercan, Gülin (2021-05-01)
Let A be a finite group acting by automorphisms on the finite group G. We introduce the commuting graph Gamma(G, A) of this action and study some questions related to the structure of G under certain graph theoretical cond...
Full lattice convergence on Riesz spaces
AYDIN, ABDULLAH; Emelyanov, Eduard; Gorokhova, Svetlana (2021-05-01)
The full lattice convergence on a locally solid Riesz space is an abstraction of the topological, order, and relatively uniform convergences. We investigate four modifications of a full convergence c on a Riesz space. The ...
Algebraic properties of the Richard Thompson’s groupfand its applications in cryptography
Yeter, Hakan; Benli, Mustafa Gökhan; Department of Mathematics (2021-3-05)
Thompson’s groupsF,TandV, especiallyF, are widely studied groups in grouptheory. With their unique properties, they appear and become counterexamples formany general problems in different areas of mathematics. Developm...
Limit monomial groups
Bostan, Sezen; Kuzucuoğlu, Mahmut; Department of Mathematics (2021-3-03)
In this thesis, monomial groups, which are obtained by using strictly diagonal embeddings of complete monomial groups over a group of finite degree, are studied. The direct limit of complete monomial groups of finite degre...
Segre Indices and Welschinger Weights as Options for Invariant Count of Real Lines
Finashin, Sergey; Kharlamov, Viatcheslav (2021-03-01)
In our previous paper [5] we have elaborated a certain signed count of real lines on real hypersurfaces of degree 2n - 1 in Pn+1. Contrary to the honest "cardinal" count, it is independent of the choice of a hypersurface a...
Unpredictable Oscillations for Hopfield-Type Neural Networks with Delayed and Advanced Arguments
Akhmet, Marat; ARUĞASLAN ÇİNÇİN, Duygu; Tleubergenova, Madina; Nugayeva, Zakhira (2021-03-01)
This is the first time that the method for the investigation of unpredictable solutions of differential equations has been extended to unpredictable oscillations of neural networks with a generalized piecewise constant arg...
Learning how to create lesson plans: first year preservice mathematics teachers’ experience in university within school model
Özkan, Betül; Işıksal Bostan, Mine; Tunç Pekkan, Zelha; Department of Mathematics Education (2021-2-15)
The aim of this study was to examine how first year preservice mathematics teachers (PSMTs) in different levels integrate feedback given by a course instructor and classmates into their lesson plans. Moreover, the study in...
A phenomenological study on mathematics teachers having experience with innovative learning activities: views, enablers,and barriers
Erbasan, Elçin; Çakıroğlu, Erdinç; Department of Mathematics Education (2021-2-10)
The purpose of the study was to investigate middle school mathematics teachers’ views and experiences regarding innovative mathematics learning activities. This study also aimed to determine enablers and bar...
Liftable homeomorphisms of cyclic and rank two finite abelian branched covers over the real projective plane
Atalan, Ferihe; Medetogullari, Elif; Ozan, Yıldıray (Elsevier BV, 2021-02-01)
© 2020 Elsevier B.V.In this note, we investigate the property for regular branched finite abelian covers of the real projective plane, where each homeomorphism of the base (preserving the branch locus) lifts to a homeomorp...
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