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- Rough kernels (2)
- 2)-ideal (1)
- AI-R space (1)
- Algebra (1)
- Algebraic Subpolynomial Condition (1)
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- Almost-I-continuous (1)
- Area integral (1)
- Augmented graded rings (1)
- Automorphisms (1)
- Basis number; cycle space; fold; semi-composition product (1)
- Block space (1)
- Chain rings (1)
- Commutator (1)
- Completely mixing (1)
- Controlled clinical trials (1)
- Exponential probability distribution (1)
- F-modules (1)
- Flat curves (1)
- Fourier coefficient of cusp forms (1)
- Fourier transform (1)
- Fourier-Bessel transform (1)
- Function Spaces; linear homeomorphism (1)
- Fuzzy c-means (1)
- Fuzzy coset (1)
- Fuzzy ideal (1)
- Fuzzy mapping; Fixed point; Quasi-pseudo-metric; Left K-sequentially complete; Right K-sequentially complete (1)
- Galois extension (1)
- Gamma nearring (1)
- Gamma nearring homomorphism (1)
- Generalized Higher Derivations (1)
Articles 1 - 30 of 36
Full-Text Articles in Physical Sciences and Mathematics
Asymptotic Formulas For The Resonance Eigenvalues Of The Schrödinger Operator, Sedef Karakiliç, O. A. Veli̇ev, Ş. Atilgan
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
The Basis Number Of The Semi-Composition Product Of Some Graphs I, M. M. Jaradat, E. A. Rawashdeh, M. Y. Alzoubi
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.
Self-Adjoint Boundary Value Problems On Time Scales And Symmetric Green's Functions, Gusein Sh. Guseinov
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.
On Groups With The Weak Wide Commensurable Property, Ayşe Berkman, Mahmut Kuzucuoğlu, Erdal Özyurt
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).
Valuations Of Polynomials, Sorasak Leeratanavalee
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 …
Corrigendum Uniqueness Of Primary Decompositions [Turkish J. Math. 27 (2003), 425--434], Patrick F. Smith
Corrigendum Uniqueness Of Primary Decompositions [Turkish J. Math. 27 (2003), 425--434], Patrick F. Smith
Turkish Journal of Mathematics
No abstract provided.
Maximum Entropy-Based Fuzzy Clustering By Using L_1-Norm Space, Mohammad Ghorbani
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 …
Formulas For The Fourier Coefficients Of Cusp Form For Some Quadratic Forms, Ahmet Tekcan
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.
2-Quasi-\Lambda-Nuclear Maps, Wasfi Shatanawi
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
Common Fixed Point Theorems For Fuzzy Mappings In Quasi-Pseudo-Metric Spaces, İlker Şahi̇n, Hakan Karayilan, Mustafa Telci̇
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.
On The Value Set Of N! Modulo A Prime, William D. Banks, Florian Luca, Igor E. Shparlinski, Henning Stichtenoth
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
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
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
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
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
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
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
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
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
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
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.
Quotient F-Modules, Ayşe Uyar
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.
On Banach Lattice Algebras, Ayşe Uyar
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.
Forward-Backward Diffusion With Continuous Spectrum, Jorge Aarao
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
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.
Characterizations Of Augmented Graded Rings, Mashhoor Refai, Fida A. M. Moh'd
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.
Simplex Codes Over The Ring \Sum_{N=0}^Su^N F_2, Mohammed M. Al-Ashker
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}.
Commutative Quartic P-Galois Extensions Over A Field Of Characteristic Not 2, Atsushi Nakajima
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
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.
Maximal Oscillatory Singular Integrals With Kernels In L Log L(S^{N-1}), Ahmad Al-Salman
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.