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Full-Text Articles in Physical Sciences and Mathematics

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.


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.


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.


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.


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.


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.


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.


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.


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}.


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.


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.


A Property Of Weak Convergence Of Positive Contractions Of Von Neumann Algebras, Farrukh Mukhamedov, Seyi̇t Temi̇r Jan 2005

A Property Of Weak Convergence Of Positive Contractions Of Von Neumann Algebras, Farrukh Mukhamedov, Seyi̇t Temi̇r

Turkish Journal of Mathematics

In the present paper we prove that the mixing property of positive L^1-contraction of finite von Neumann algebras implies the property of complete mixing.


On Generalization Of The Quasi Homogeneous Riesz Potential, Hüseyi̇n Yildirim Jan 2005

On Generalization Of The Quasi Homogeneous Riesz Potential, Hüseyi̇n Yildirim

Turkish Journal of Mathematics

In this paper, a generalization of the quasi homogeneous Riesz Potential has been defined using non-isotropic quasi-distance and its L_p (p \geq 1) continuity study.


Forward-Backward Diffusion With Continuous Spectrum, Jorge Aarao Jan 2005

Forward-Backward Diffusion With Continuous Spectrum, Jorge Aarao

Turkish Journal of Mathematics

We prove existence and uniqueness of solutions for a class of forward-backward diffusion equations via a representative example, where the second-order part has continuous spectrum, and the initial and boundary data are suitably chosen.


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.


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.


Submanifolds Of Riemannian Product Manifolds, Mehmet Atçeken Jan 2005

Submanifolds Of Riemannian Product Manifolds, Mehmet Atçeken

Turkish Journal of Mathematics

In this paper, we study the geometry of the semi-invariant submanifolds of a Riemannian product manifold. Fundamental properties of these type submanifolds such as the integrability of the distributions D, D^{\bot} and mixed-geodesic property are studied. Finally, necessary and sufficient conditions are given on a semi-invariant submanifold of Riemannian product manifold to be D-geodesic and D^{\bot}-geodesic.


Simplex Codes Over The Ring \Sum_{N=0}^Su^N F_2, Mohammed M. Al-Ashker Jan 2005

Simplex Codes Over The Ring \Sum_{N=0}^Su^N F_2, Mohammed M. Al-Ashker

Turkish Journal of Mathematics

In this paper, we introduce simplex linear codes over the ring \sum_{n=0}^{n=s}u^n F_2 of types \alpha and \beta, where u^{s+1}=0. And we determine their properties. These codes are an extension and generalization of simplex codes over the ring Z_{2^s}.


Maximal Oscillatory Singular Integrals With Kernels In L Log L(S^{N-1}), Ahmad Al-Salman Jan 2005

Maximal Oscillatory Singular Integrals With Kernels In L Log L(S^{N-1}), Ahmad Al-Salman

Turkish Journal of Mathematics

In this paper, we study the L^p mapping properties of a certain class of maximal oscillatory singular integral operators. We establish the L^p boundedness of our operators provided that their kernels belong to the natural space L log ^+L(S^{n-1}). Our result substantially improves a previously known result. Moreover, the approach developed in this paper can be applied to handle more general maximal oscillatory singular integral operators.


On Rough Singular Integrals Along Surfaces On Product Domains, Ahmad Al-Salman, Ali A. Al-Jarrah Jan 2005

On Rough Singular Integrals Along Surfaces On Product Domains, Ahmad Al-Salman, Ali A. Al-Jarrah

Turkish Journal of Mathematics

In this paper, we study a class of singular integrals along surfaces on product domains with kernels in L(log L)^2(S^{n-1} \times S^{m-1}). We formulate a general theorem concerning the L^p boundedness of these operators. As a consequence of this theorem we establish L^p estimates of several classes of operators whose L^p boundedness in the one parameter setting is known. The condition L(log L)^2(B^{n-1} \times S^{m-1}) is known to be an optimal size condition


On Linear The Homeomorphism Between Function Spaces C_P(X) And C_{P,A}(X) \Times C_P (A), Sabri̇ Bi̇rli̇k Jan 2005

On Linear The Homeomorphism Between Function Spaces C_P(X) And C_{P,A}(X) \Times C_P (A), Sabri̇ Bi̇rli̇k

Turkish Journal of Mathematics

In this paper, we investigate a linear homeomorphism between function spaces C_p(X) and C_{p,A}(X) \times C_p(A) , where X is a normal space and A is a neighborhood retraction of X.


On Space Of Parabolic Potentials Associated With The Singular Heat Operator, Si̇nem Sezer, İlham A. Ali̇ev Jan 2005

On Space Of Parabolic Potentials Associated With The Singular Heat Operator, Si̇nem Sezer, İlham A. Ali̇ev

Turkish Journal of Mathematics

Anisotropic spaces L_{p,\gamma}^{\alpha} of parabolic Bessel potentials, associated with the singular heat operator I-\Delta_{\gamma}+ \frac{\partial}{\partial t}, where \Delta_{\gamma} = \sum\limits_{k=1}^n \frac{\partial ^{2}}{\partial x_{k}^{2}} + \frac{2\gamma }{x_n}. \frac{\partial}{\partial x_n}, are introduced, and making use of special wavelet-type transform, a characterization of these spaces is obtained.


Commutative Quartic P-Galois Extensions Over A Field Of Characteristic Not 2, Atsushi Nakajima Jan 2005

Commutative Quartic P-Galois Extensions Over A Field Of Characteristic Not 2, Atsushi Nakajima

Turkish Journal of Mathematics

In [2], K. Kishimoto introduced the notion of P-Galois extensions and gave some fundamental properties of these extensions. P-Galois extensions relate Hopf Galois extensions, and the author treated these topics in [5]. Moreover, the cubic P-Galois extensions over a field were completely determined in [6]. Continuing [5] and [6], we classify commutative quartic P-Galois extensions over a field of characteristic not 2.


On A Class Of Para-Sakakian Manifolds, Ci̇han Özgür Jan 2005

On A Class Of Para-Sakakian Manifolds, Ci̇han Özgür

Turkish Journal of Mathematics

In this study, we investigate Weyl-pseudosymmetric Para-Sasakian manifolds and Para-Sasakian manifolds satisfying the condition C \cdot S=0.


Characterizations Of Augmented Graded Rings, Mashhoor Refai, Fida A. M. Moh'd Jan 2005

Characterizations Of Augmented Graded Rings, Mashhoor Refai, Fida A. M. Moh'd

Turkish Journal of Mathematics

In this paper, we introduce some characterizations for augmented graded rings in special cases.


On Banach Lattice Algebras, Ayşe Uyar Jan 2005

On Banach Lattice Algebras, Ayşe Uyar

Turkish Journal of Mathematics

In this study, without using the assumption a^{-1} > 0, it is shown that E is lattice - and algebra - isometric isomorphic to the reals R whenever E is a Banach lattice f-algebra with unit e, e = 1, in which for every a > 0 the inverse a^{-1} exists. Subsequently, an alternative proof to a result of Huijsmans is given for Banach lattice algebras.


A Quasi-Linear Manifolds And Quasi-Linear Mapping Between Them, Aki̇f Abbasov Jan 2004

A Quasi-Linear Manifolds And Quasi-Linear Mapping Between Them, Aki̇f Abbasov

Turkish Journal of Mathematics

In this article a special class of Banach manifolds (called QL-manifolds) and mapping between them (QL-mappings) are introduced and some examples are given.


On Graded Primary Ideals, Mashhoor Refai, Khaldoun Al-Zoubi Jan 2004

On Graded Primary Ideals, Mashhoor Refai, Khaldoun Al-Zoubi

Turkish Journal of Mathematics

Let G be a group and R be a G-graded commutative ring, i.e., R = \oplus_{g \in G} R_g and R_gR_h \subseteq R_{gh} for all g, h \in G. In this paper, we study the graded primary ideals and graded primary G-decomposition of a graded ideal.


Determination Of A Fractional-Linear Pencil Of Sturm-Liouville Operators By Two Of Its Spectra, R. T. Pashayev Jan 2004

Determination Of A Fractional-Linear Pencil Of Sturm-Liouville Operators By Two Of Its Spectra, R. T. Pashayev

Turkish Journal of Mathematics

In this paper we consider the Sturm-Liouville equations on a finite interval which is fractional-linear in the spectral parameter. The inverse spectral problem consisting of the recovering of the operator from the two spectra is investigated and a uniqueness theorem for solution of the inverse problem is proved.


Perelman's Monotonicity Formula And Applications, Natasa Sesum Jan 2004

Perelman's Monotonicity Formula And Applications, Natasa Sesum

Turkish Journal of Mathematics

This article relies on [15] that the author wrote with Gang Tian and Xiaodong Wang. In view of Hamilton's important work on the Ricci flow and Perelman's paper on the Ricci flow where he developes the techniques that he will later use in completing Hamilton's program for the geometrization conjecture, there may be more interest in the area. We will also discuss the author's theorem which says that the curvature tensor stays uniformly bounded under the unnormalized Ricci flow in a finite time, if the curvatures are uniformly bounded. We will prove that in the case of a Kähler-Ricci flow …