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Browsing Mathematics / Matematik by Author "Izmir Institute of Technology. Mathematics"
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A1L10 phase boundaries and anisotropy via multipleorderparameter theory for an fcc alloy
Tanoğlu, Gamze; Braun, Richard J.; Cahn, John W.; McFadden, Geoffrey B. (European Mathematical Society Publishing House, 2003)The dependence of thermodynamic properties of planar interphase boundaries (IPBs) and antiphase boundaries (APBs) in a binary alloy on an fcc lattice is studied as a function of their orientation. Using a recently developed ... 
Abelian ChernSimons vortices and holomorphic Burgers hierarchy
Pashaev, Oktay; Gürkan, Zeynep Nilhan (Springer, 200707)We consider the Abelian ChernSimons gauge field theory in 2+1 dimensions and its relation to the holomorphic Burgers hierarchy. We show that the relation between the complex potential and the complex gauge field as in ... 
Absolute cosupplement and absolute cococlosed modules
Keskin Tütüncü, Derya; Toksoy, Sultan Eylem (Hacettepe Üniversitesi, 2013)A module M is called an absolute cococlosed (absolute cosupplement) module if whenever M ≅ T/X the submodule X of T is a coclosed (supplement) submodule of T. Rings for which all modules are absolute cococlosed (absolute ... 
Analysis of a corner layer problem in anisotropic interfaces
Alikakos, N. D.; Bates, P. W.; Cahn, J. W.; Fife, P. C.; Fusco, G.; Tanoğlu, Gamze (Southwest Missouri State University, 200603)We investigate a model of anisotropic diffuse interfaces in ordered FCC crystals introduced recently by Braun et al and Tanoglu et al [3, 18, 19], focusing on parametric conditions which give extreme anisotropy. For a ... 
Analytic study on two nonlinear evolution equations by using the (G′/G)expansion method
Aslan, İsmail; Öziş, Turgut (Elsevier, 200903)The validity and reliability of the socalled (G′/G)expansion method is tested by applying it to two nonlinear evolutionary equations. Solutions in more general forms are obtained. When the parameters are taken as special ... 
An application with webMathematica
Ufuktepe, Ünal (Springer, 2003)There have been many technological dawns in the last 30 years, during which the desktop computer and the Internet have been developed. The importance of Internet in education, particularly using its Web is a wellrecognized ... 
Applications of graph coloring
Ufuktepe, Ünal; Bacak, Gökşen (Springer, 2005)A graph G is a mathematical structure consisting of two sets V(G) (vertices of G) and E(G) (edges of G). Proper coloring of a graph is an assignment of colors either to the vertices of the graphs, or to the edges, in such ... 
Applying Mathematica and webMathematica to graph coloring
Ufuktepe, Ünal; Bacak, Gökşen (Elsevier, 200706)This paper analyzes some graph issues by using the symbolic program Mathematica and its version for the Web, webMathematica. In particular, we consider the problem of graph coloring: the assignment of colors to the ... 
Asymptotic behavior of linear impulsive integrodifferential equations
Akhmet, Marat; Tleubergenova, M. A.; Yılmaz, Oğuz (Elsevier, 200808)Asymptotic equilibria of linear integrodifferential equations and asymptotic relations between solutions of linear homogeneous impulsive differential equations and those of linear integrodifferential equations are ... 
Basic calculus on time scale with mathematica
Yantır, Ahmet; Ufuktepe, Ünal (Springer, 2003)Mathematical modeling of time dependent systems are always interesting for applied mathematicians. First continuous and then discrete mathematical modeling are built during the mathematical development from ancient to the ... 
Berry's phase under the DzyaloshinskiiMoriya interaction
Kwan, M. K.; Gürkan, Zeynep Nilhan; Kwek, L. C. (American Physical Society, 200806)In this paper, we study the DzyaloshinskiiMoriya (DM) anisotropic XX spinchain model in the presence of an external homogeneous magnetic field. We found that the Berry phase of the system varies interestingly with small ... 
Black holes and solitons of the quantized dispersionless NLS and DNLS equations
Pashaev, Oktay; Lee, Jyh Hao (Cambridge University Press, 200207)The classical dynamics of nonrelativistic particles are described by the Schrödinger wave equation, perturbed by quantum potential nonlinearity. Quantization of this dispersionless equation, implemented by deformation of ... 
Boundary shape and Casimir energy
Ahmedov, Hacı; Duru, İsmail Hakkı (IOP Publishing, 200908)Casimir energy changes are investigated for geometries obtained by small but arbitrary deformations of a given geometry for which the vacuum energy is already known for the massless scalar field. As a specific case, ... 
CAMPways: Constrained alignment framework for the comparative analysis of a pair of metabolic pathways
Abaka, Gamze; Bıyıkoğlu, Türker; Erten, Cesim (Oxford University Press, 201307)Motivation: Given a pair of metabolic pathways, an alignment of the pathways corresponds to a mapping between similar substructures of the pair. Successful alignments may provide useful applications in phylogenetic tree ... 
Casimir energies for some single cavities
Ahmedov, Hacı; Duru, İsmail Hakkı (TÜBİTAK, 2006)Casimir energies for some single cavities. Casimir energies are discussed for some cavities. 
The Cauchy problem for the planar spinliquid model
Pashaev, Oktay; Chang, NaiHeng (IOP Publishing, 2005)In this paper, we study the Cauchy problem of a twodimensional model for a moving ferromagnetic continuum and prove global existence and uniqueness of solutions. In addition, equivalence to the coupled system of nonlinear ... 
Cofinitely weak supplemented lattices
Alizade, Rafail; Toksoy, Sultan Eylem (Indian National Science Academy, 200910)In this paper it is shown that an Ecomplemented complete modular lattice L with small radical is weakly supplemented if and only if it is semilocal. L is a cofinitely weak supplemented lattice if and only if every maximal ... 
Cofinitely weak supplemented modules
Alizade, Rafail; Büyükaşık, Engin (Taylor & Francis, 200311)We prove that a module M is cofinitely weak supplemented or briefly cws (i.e., every submodule N of M with M/N finitely generated, has a weak supplement) if and only if every maximal submodule has a weak supplement. If M ... 
Combination of inclusive and differential tt¯ charge asymmetry measurements using ATLAS and CMS data at √s = 7 and 8 TeV
CMS Collaboration; ATLAS Collaboration; Karapınar, Güler (Springer, 201801)This paper presents combinations of inclusive and differential measurements of the charge asymmetry (AC) in top quark pair (tt) events with a lepton+jets signature by the ATLAS and CMS Collaborations, using data from LHC ... 
Comment on: The (G'/G)expansion method for the nonlinear lattice equations [Commun Nonlinear Sci Numer Simulat 17 (2012) 34903498]
Aslan, İsmail (Elsevier, 201212)We show that two of the nonlinear lattice equations studied by Ayhan & Bekir [Commun Nonlinear Sci Numer Simulat 17 (2012) 34903498] have already been investigated by Aslan [Commun Nonlinear Sci Numer Simulat 15 (2010) ...