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2005

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Articles 241 - 270 of 422

Full-Text Articles in Mathematics

Existence, Comparison, And Compactness Results For Quasilinear Variational-Hemivariational Inequalities, Vy Khoi Le, Dumitru Motreanu, Siegfried Carl Jan 2005

Existence, Comparison, And Compactness Results For Quasilinear Variational-Hemivariational Inequalities, Vy Khoi Le, Dumitru Motreanu, Siegfried Carl

Mathematics and Statistics Faculty Research & Creative Works

We consider quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub- and supersolutions, on the basis of which we then develop the sub-supersolution method for variational-hemivariational inequalities, including existence, comparison, compactness, and extremality results.

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A Quasilinearization Approach For Two Point Nonlinear Boundary Value Problems On Time Scales, Elvan Akin, Ferhan Atici. Merdivenci Jan 2005

A Quasilinearization Approach For Two Point Nonlinear Boundary Value Problems On Time Scales, Elvan Akin, Ferhan Atici. Merdivenci

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

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Asymptotic Formulas For The Resonance Eigenvalues Of The Schrödinger Operator, Sedef Karakiliç, O. A. Veli̇ev, Ş. Atilgan Jan 2005

Asymptotic Formulas For The Resonance Eigenvalues Of The Schrödinger Operator, Sedef Karakiliç, O. A. Veli̇ev, Ş. Atilgan

Turkish Journal of Mathematics

In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - \Delta u + q(x)u in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary conditions, where q(x) is a real valued function of L_2(F). We obtain the asymptotic formulas for the resonance eigenvalues of these operators

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The Basis Number Of The Semi-Composition Product Of Some Graphs I, M. M. Jaradat, E. A. Rawashdeh, M. Y. Alzoubi Jan 2005

The Basis Number Of The Semi-Composition Product Of Some Graphs I, M. M. Jaradat, E. A. Rawashdeh, M. Y. Alzoubi

Turkish Journal of Mathematics

The basis number of a graph G is defined to be the least integer d such that there is a basis \mathcal{B} of the cycle space of G such that each edge of G is contained in at most d members of \mathcal{B}. We investigate the basis number of the semi-composition product of two paths and a cycle with a path.

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Self-Adjoint Boundary Value Problems On Time Scales And Symmetric Green's Functions, Gusein Sh. Guseinov Jan 2005

Self-Adjoint Boundary Value Problems On Time Scales And Symmetric Green's Functions, Gusein Sh. Guseinov

Turkish Journal of Mathematics

In this note, higher order self-adjoint differential expressions on time scales, and associated with them self-adjoint boundary conditions, are discussed. The symmetry peoperty of the corresponding Green's functions is emphasized.

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On Groups With The Weak Wide Commensurable Property, Ayşe Berkman, Mahmut Kuzucuoğlu, Erdal Özyurt Jan 2005

On Groups With The Weak Wide Commensurable Property, Ayşe Berkman, Mahmut Kuzucuoğlu, Erdal Özyurt

Turkish Journal of Mathematics

An infinite group with the weak wide commensurable property is shown to be abelian, provided that it is locally finite or locally graded or non-perfect or linear. We also investigate the properties of infinite non-abelian groups with the weak wide commensurable property. Moreover, we describe completely the structure of infinite locally finite groups whose p-subgroups have the weak wide commensurable property. (AMS MSC: 20F50, 20E34).

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Valuations Of Polynomials, Sorasak Leeratanavalee Jan 2005

Valuations Of Polynomials, Sorasak Leeratanavalee

Turkish Journal of Mathematics

A tree is a connected (undirected) graph that contains no cycles. Trees play an important role in Computer Science. There are many applications in this field. Ordered binary decision diagrams are trees in the language of Boolean algebras. For the applications, it is important to measure the complexity of a tree or of a polynomial. The complexity of a polynomial over an arbitrary algebra can be regarded as a valuation. The concept of the valuations of terms was introduced by K. Denecke and S. L. Wismath in [5]. In [6], the author defined the depth of a polynomial which is …

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Maximum Entropy-Based Fuzzy Clustering By Using L_1-Norm Space, Mohammad Ghorbani Jan 2005

Maximum Entropy-Based Fuzzy Clustering By Using L_1-Norm Space, Mohammad Ghorbani

Turkish Journal of Mathematics

One of the most important methods in analysis of large data sets is clustering. These methods are not only major tools to uncover the underlying structures of a given data set, but also promising tools to uncover local input-output relations of a complex system. The goal of this paper is to present a new approach to fuzzy clustering by using L_1-norm space by means of a maximum entropy inference method, where, firstly, the resulting formulas have more beautiful form and clearer physical meaning than those obtained by means of FCM method and secondly, the obtained criteria by this new method …

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Formulas For The Fourier Coefficients Of Cusp Form For Some Quadratic Forms, Ahmet Tekcan Jan 2005

Formulas For The Fourier Coefficients Of Cusp Form For Some Quadratic Forms, Ahmet Tekcan

Turkish Journal of Mathematics

In this paper, representations of positive integers by certain quadratic forms Q_p defined for odd prime p are examined. The number of representations of positive integer n by the quadratic form Q_p, is denoted by r(n;Q_p), obtained for p=3,5 and 7.\thinspace We prove that r(n;Q_p)=\rho (n;Q_p)+\vartheta (n;Q_p) for p=3,5 and 7, where \rho (n;Q_p) is the singular series and \vartheta (n;Q_p) is the Fourier coefficient of cusp form.

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2-Quasi-\Lambda-Nuclear Maps, Wasfi Shatanawi Jan 2005

2-Quasi-\Lambda-Nuclear Maps, Wasfi Shatanawi

Turkish Journal of Mathematics

In this paper we generalize the well-known result which says that the composition of quasi-nuclear maps is nuclear. More precisely, we define what we call a 2-quasi-\lambda -nuclear map between normed spaces, and we prove that the composition of a 2-quasi-\lambda -nuclear map with a quasi- \lambda -nuclear map is a pseudo-\lambda -nuclear map. Also, we prove that a quasi-\lambda -nuclear map is a 2-quasi-\lambda -nuclear map. For a nuclear G_{\infty} -space, we prove that a linear map T between normed spaces is 2-quasi-\lambda -nuclear if and only if it is quasi-\lambda -nuclear

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Common Fixed Point Theorems For Fuzzy Mappings In Quasi-Pseudo-Metric Spaces, İlker Şahi̇n, Hakan Karayilan, Mustafa Telci̇ Jan 2005

Common Fixed Point Theorems For Fuzzy Mappings In Quasi-Pseudo-Metric Spaces, İlker Şahi̇n, Hakan Karayilan, Mustafa Telci̇

Turkish Journal of Mathematics

In this paper, we obtain some common fixed point theorems for pairs of fuzzy mappings in left K-sequentially complete quasi-pseudo-metric spaces and right K-sequentially complete quasi-pseudo-metric spaces, respectively. Well-known theorems are special cases of our results.

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On The Value Set Of N! Modulo A Prime, William D. Banks, Florian Luca, Igor E. Shparlinski, Henning Stichtenoth Jan 2005

On The Value Set Of N! Modulo A Prime, William D. Banks, Florian Luca, Igor E. Shparlinski, Henning Stichtenoth

Turkish Journal of Mathematics

We show that for infinitely many prime numbers p there are at least \log\log p / \log\log\log p distinct residue classes modulo p that are not congruent to n! for any integer n.

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An Exponential Model For Treatment Effects Without A Control Group, Kemal Gürsoy Jan 2005

An Exponential Model For Treatment Effects Without A Control Group, Kemal Gürsoy

Turkish Journal of Mathematics

It may be desirable to estimate the behaviour of a pair of random variables and their functions through the information acquired by utilizing only one of them and its functions. In this work, such an approach has been used. Motivated by the need to provide treatment to every patient in a new drug trial, an exponential model was considered. This approach provides sufficient information to make inferences about the effect of a treatment without using a control group who will be otherwise denied treatment, as an alternative method to the commonly used controlled clinical trials.

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On Intuitionistic Fuzzy Bi-Ideals Of Semigroups, Kyung Ho Kim, Jong Geol Lee Jan 2005

On Intuitionistic Fuzzy Bi-Ideals Of Semigroups, Kyung Ho Kim, Jong Geol Lee

Turkish Journal of Mathematics

We consider the intuitionistic fuzzification of the concept of several ideals in a semigroup S, and investigate some properties of such ideals.

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Constructing New K3 Surfaces, Selma Altinok Jan 2005

Constructing New K3 Surfaces, Selma Altinok

Turkish Journal of Mathematics

This paper is concerned with a method based on birational geometry and produces dozens of new examples in codimensions 3, 4, 5 etc. The method is called unprojection by Reid. Using this method we construct new examples of K3 surfaces of codimensions 3 and 4 in weighted projective spaces from smaller codimension K3 surfaces whose rings are much simpler. This leads to the existence of almost all candidates for codimension 3 K3 surfaces in the list.

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On Jordan Generalized Higher Derivations In Rings, Wagner Cortes, Claus Haetinger Jan 2005

On Jordan Generalized Higher Derivations In Rings, Wagner Cortes, Claus Haetinger

Turkish Journal of Mathematics

I. N. Herstein proved that any Jordan derivation on a prime ring of characteristic not 2 is a derivation. M. Breşar extended this result to semiprime rings, while M. Ferrero and C. Haetinger extended the result to Jordan higher derivations. Recently, M. Ashraf and N. Rehman considered the question of Herstein for a Jordan generalized derivation. This paper extends Ashraf's Theorem. We prove that if R is a 2-torsion-free ring which has a commutator right nonzero divisor, then every Jordan generalized higher derivation on R is a generalized higher derivation.

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On Fuzzy Cosets Of Gamma Nearrings, Satyanarayana Bhavanari, Syam Prasad Kuncham Jan 2005

On Fuzzy Cosets Of Gamma Nearrings, Satyanarayana Bhavanari, Syam Prasad Kuncham

Turkish Journal of Mathematics

In this paper, we consider fuzzy notion of a \Gamma -near ring, introduce the notion of a fuzzy coset and obtained some related important fundamental isomorphism theorems.

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On \Delta-I-Continuous Functions, Şazi̇ye Yüksel, A. Açikgöz, T. Noiri Jan 2005

On \Delta-I-Continuous Functions, Şazi̇ye Yüksel, A. Açikgöz, T. Noiri

Turkish Journal of Mathematics

In this paper, we introduce a new class of functions called \delta-I-continuous functions. We obtain several characterizations and some of their properties. Also, we investigate its relationship with other types of functions.

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Spacelike Normal Curves In Minkowski Space E^3_1, Kazim İlarslan Jan 2005

Spacelike Normal Curves In Minkowski Space E^3_1, Kazim İlarslan

Turkish Journal of Mathematics

In the Euclidean space E^3, it is well known that normal curves, i.e., curves with position vector always lying in their normal plane, are spherical curves [3]. Necessary and sufficient conditions for a curve to be a spherical curve in Euclidean 3-space are given in [10] and [11]. In this paper, we give some characterizations of spacelike normals curves with spacelike, timelike or null principal normal in the Minkowski 3-space E^3_1.

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On The Nilpotency Class Of Lie Rings With Fixed-Point-Free Automorphisms, Pavel Shumyatsky Jan 2005

On The Nilpotency Class Of Lie Rings With Fixed-Point-Free Automorphisms, Pavel Shumyatsky

Turkish Journal of Mathematics

Let L be a solvable Lie ring with derived length s. Assume that L admits an automorphism \phi of prime order p\geq 11 such that C_L(\phi)=0. It is proved that the class of L is less than \frac{(p-2)^{s+1}}{(p-3)^2}.

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Su(2) Representations Of The Groups Of Integer Tangles, Tangül Uygur Jan 2005

Su(2) Representations Of The Groups Of Integer Tangles, Tangül Uygur

Turkish Journal of Mathematics

In this work we classify the irreducible SU(2) representations of \Pi_1(S^3\backslash k_n) where k_n is an integer n tangle and as a result we have proved the following theorem: Let n be an odd integer then \mathcal{R}^{\ast}(\Pi_1(S^3 \backslash k_n)) /SO(3) is the disjoint union of n open arcs where \mathcal{R}^{\ast}(\Pi _1(S^3 \backslash k_n)) is the space of irreducible representations.

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Weighted Boundedness For A Rough Homogeneous Singular Integral, Hussain Al-Qassem Jan 2005

Weighted Boundedness For A Rough Homogeneous Singular Integral, Hussain Al-Qassem

Turkish Journal of Mathematics

A weighted norm inequality for a homogeneous singular integral with a kernel belonging to a certain block space is proved. Also, some applications of this inequality are obtained. Our results are essential improvements as well as extensions of some known results on the weighted boundedness of singular integrals.

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A Multi-Server Markovian Queueing Model With Primary And Secondary Services, Valentina Klimenok, Srinivas R. Chakravarthy, Alexander Dudin Jan 2005

A Multi-Server Markovian Queueing Model With Primary And Secondary Services, Valentina Klimenok, Srinivas R. Chakravarthy, Alexander Dudin

Industrial & Manufacturing Engineering Presentations And Conference Materials

We study a multi-server queueing model in which the arrivals occur according to a Markovian arrival process. An arriving customer either (a) is lost due to all main servers being busy; or (b) enters into service with one of the main servers and leaves the system (as a satisfied primary customer); (c) enters into a service with one of the main servers, gets service in self-service mode, and is impatient to get a final service with one of the main servers, may leave the system (as a dissatisfied secondary customer); or (d) enters into service with one of the main …

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Dynamic Equations On Changing Time Scales: Dynamics Of Given Logistic Problems, Parameterization, And Convergence Of Solutions, Kelli J. Hall Jan 2005

Dynamic Equations On Changing Time Scales: Dynamics Of Given Logistic Problems, Parameterization, And Convergence Of Solutions, Kelli J. Hall

Theses, Dissertations and Capstones

In this thesis we use the theory of dynamic equations on time scales to understand the changes in dynamics between difference and differen- tial equations by parameterizing the underlying domains. To illustrate where and how these changes occur, we then construct a bifurcation diagram for a simple family of dynamic equations. However, these results are only true if we can move continuously through our domains, i.e, the time scales. In the last part of this thesis, we define what it means to have a convergent sequence of time scales. Then we use this definition to prove that the limit …

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Rescaled Lotka-Volterra Models Converge To Super-Brownian Motion, J. Theodore Cox, Edwin A. Perkins Jan 2005

Rescaled Lotka-Volterra Models Converge To Super-Brownian Motion, J. Theodore Cox, Edwin A. Perkins

Mathematics - All Scholarship

We show that a sequence of stochastic spatial Lotka–Volterra models, suitably rescaled in space and time, converges weakly to super-Brownian motion with drift. The result includes both long range and nearest neighbor models, the latter for dimensions three and above. These theorems are special cases of a general convergence theorem for perturbations of the voter model.

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2005 (Winter), University Of Dayton. Department Of Mathematics Jan 2005

2005 (Winter), University Of Dayton. Department Of Mathematics

Colloquia

Abstracts of the talks given at the 2005 Winter Colloquium

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Voice Authenticationa Study Of Polynomial Representation Of Speech Signals, John Strange Jan 2005

Voice Authenticationa Study Of Polynomial Representation Of Speech Signals, John Strange

Electronic Theses and Dissertations

A subset of speech recognition is the use of speech recognition techniques for voice authentication. Voice authentication is an alternative security application to the other biometric security measures such as the use of fingerprints or iris scans. Voice authentication has advantages over the other biometric measures in that it can be utilized remotely, via a device like a telephone. However, voice authentication has disadvantages in that the authentication system typically requires a large memory and processing time than do fingerprint or iris scanning systems. Also, voice authentication research has yet to provide an authentication system as reliable as the other …

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Sums Of Gauss Sums And Weights Of Irreducible Codes, Robert W. Fitzgerald, Joseph L. Yucas Jan 2005

Sums Of Gauss Sums And Weights Of Irreducible Codes, Robert W. Fitzgerald, Joseph L. Yucas

Articles and Preprints

We develop a matrix approach to compute a certain sum of Gauss sums which arises in the study of weights of irreducible codes. A lower bound on the minimum weight of certain irreducible codes is given.

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On Marcinkiewicz Integrals Along Flat Surfaces, Ahmad Al-Salman Jan 2005

On Marcinkiewicz Integrals Along Flat Surfaces, Ahmad Al-Salman

Turkish Journal of Mathematics

In this paper, we study Marcinkiewicz integral operators with rough kernels supported by surfaces given by flat curves. Under convexity assumptions on our surfaces, we establish an L^p boundedness result of such operators. Moreover, we obtain the L^p boundedness of the corresponding Marcinkiewicz integral operators that are related to area integral and Littlewood-Paley g_{\lambda}^* functions.

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Quotient F-Modules, Ayşe Uyar Jan 2005

Quotient F-Modules, Ayşe Uyar

Turkish Journal of Mathematics

Let L be an f-module over f-algebra A. Then L^{\sim} is a cf-module over the f-algebra (A^{\sim})^{\sim}_n. Quotient f-modules are studied and subsequently a connection between Z(L^{\sim}) and [A^{\sim})^{\sim}_n]_{\hat{e}} is investigated.

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