Güncel Gönderiler: Matematik Bölümü
Toplam kayıt 291, listelenen: 261-280
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Seiberg-Witten-like equations on 5-dimensional contact metric manifolds
(Scientific Technical Research Council Turkey-Tubitak, 2014)In this paper, we write Seiberg-Witten-like equations on contact metric manifolds of dimension 5. Since any contact metric manifold has a Spin(e)-structure, we use the generalized Tanaka-Webster connection on a Spin(e) ... -
A Fractal Representation of the Complex Clifford Algebra Equivalent to the Fock Representation
(Birkhauser Verlag Ag, 2012)We construct a representation of the infinite dimensional complex Clifford algebra on the Hilbert space of square-integrable complex-valued functions on the Cantor set, which we show to be equivalent to the classical Fock ... -
Seiberg-Witten Equations on Pseudo-Riemannian Spin(c) Manifolds With Neutral Signature
(Ovidius University Press, 2012)Pseudo-Riemannian spin(c) manifolds were introduced by Ikemakhen in [7]. In the present work we consider pseudo-Riemannian 4-manifolds with neutral signature whose structure groups are SO+ (2, 2). We prove that such manifolds ... -
Schrodinger-Lichnerowicz Like Formula on Kahler-Norden Manifolds
(World Scientific Publ Co Pte LTD, 2012)A new kind of spinors and Dirac operator are introduced on Kahler-Norden manifolds in [Spinors on Kahler-Norden manifolds, J. Nonlinear Math. Phys. 17(1) (2010) 27-34]. In this work the square D-2 of the Dirac operator D ... -
Seiberg-Witten Equations on Four-Dimensional Lorentzian Spin(C) Manifolds
(World Scientific Publ Co Pte LTD, 2011)New kind of spinors are introduced on four-dimensional Lorentzian Spin(c) manifolds in [1]. We define Dirac operator on such spinors. In [2] Seiberg-Witten-like equations are written down on Minkowski space. In the present ... -
Chaos in product maps
(Scientific Technical Research Council Turkey-Tubitak, 2010)We discuss how chaos conditions on maps carry over to their products First we give a counterexample showing that the product of two chaotic maps (in the sense of Devaney) need not be chaotic We then remark that if two maps ... -
Random search of stable member in a matrix polytope
(Elsevier Science BV, 2016)Given a matrix polytope we consider the existence problem of a stable member in it. We suggest an algorithm in which part of uncertainty parameters is chosen randomly. Applications to affine families and 3 x 3 interval ... -
Fractal interpolation on the Sierpinski Gasket
(Academic Press Inc Elsevier Science, 2008)We prove for the Sierpinski Gasket (SG) an analogue of the fractal interpolation theorem of Barnsley. Let V-0 = [p(1), p(2), p(3)) be the set of vertices of SG and u(i) (x) = 1/2 (x + p(i)) the three contractions of the ... -
Representations of Clifford Algebras on Function Spaces on the Cantor Set
(Birkhauser Verlag Ag, 2011)We give a representation of the (infinite-dimensional) complex Clifford algebra on the Hilbert space of square-integrable complexvalued functions on the Cantor set. -
Stabilization of Discrete Time Systems By Reflection Coefficients
(Krasovskii Inst Mathematics & Mechanics Ural Branch Russian Acad Sciences, 2017)For single-input single-output discrete-time systems, we consider a stabilization problem by a fixed order controller. A number of examples show that such controller may not exist. It is assumed that the controller depends ... -
Graph-directed sprays and their tube volumes via functional equations
(European Mathematical Soc, 2017)The notion of sprays introduced by Lapidus and his co-workers has proved useful in the context of fractal tube formulas. In the present note, we define a notion of a graph-directed spray, associated with a weighted directed ... -
Stabilisation of discrete-time systems via Schur stability region
(Taylor & Francis LTD, 2018)In this paper, we consider the stabilisation problem of discrete-time systems by affine compensator. Using the known properties of the Schur stability region of monic polynomials, we give conditions under which stabilising ... -
Common diagonal solutions to the Lyapunov inequalities for interval systems
(Springer International Publishing Ag, 2016)In this paper for interval systems we consider the problem of existence and evaluation of common diagonal solutions to the Lyapunov inequalities. For second order systems, we give necessary and sufficient conditions and ... -
On the Robust Stability of Polynomial Matrix Families
(Int Linear Algebra Soc, 2015)In this study, the problem of robust asymptotic stability of n x n, polynomial matrix family, in both continuous-time and discrete-time cases, is considered. It is shown that in the continuous case the problem can be reduced ... -
Common Lyapunov Functions for Some Special Classes of Stable Systems
(IEEE-Inst Electrical Electronics Engineers Inc, 2011)In this work we consider the problem of existence and determination of a common positive definite solution (common quadratic Lyapunov function) to a set of Lyapunov matrix inequalities. We investigate a parameterized matrix ... -
An Analysis of Middle School Mathematics Textbooks from the Perspective of Fostering Algebraic Thinking through Generalization
(EDAM, 2017)The efficient use of generalization in textbooks, which are regarded as a supplementary teaching material and constitute a substantial place in the processes of learning and teaching, is important for effective mathematics ... -
Fuzzy Risk Analysis Based on the Incenter of a Triangle for a Production System
(Gazi University, 2016)Ordering and ranking fuzzy numbers and their comparisons play a significant role in decision-making problems such as social and economic systems, forecasting, optimization, and risk analysis problems. In this paper, we ... -
Fuzzy Risk Analysis for a Production System Based on the Nagel Point of a Triangle
(Hindawi LTD, 2016)Ordering and ranking fuzzy numbers and their comparisons play a significant role in decision-making problems such as social and economic systems, forecasting, optimization, and risk analysis problems. In this paper, a new ... -
Numerical Solutions of the General Rosenau-RLW Equation Using Meshless Kernel Based Method of Lines
(IOP Publishing LTD, 2016)In this paper, the General Rosenau-RLW equation is solved by using meshless kernel based method of lines. To test the accuracy of the method some numerical experiments are presented. Obtained numerical results are compared ... -
Determining the Critical Point of a Sigmoidal Curve via its Fourier Transform
(IOP Publishing LTD, 2016)A sigmoidal curve y(t) is a monotone increasing curve such that all derivatives vanish at infinity. Let t(n) be the point where the nth derivative of y(t) reaches its global extremum. In the previous work on sol-gel ...
