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- Keyword
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- 35Q53 (2)
- 35Q55 (2)
- 58G18. (2)
- Multiple Scales Method (2)
- Spectral Problem (2)
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- Analytic (1)
- Banach spaces. AMS Subject Classification: 46 B 20. (1)
- Cat^1-groups (1)
- Central limit theorem (1)
- Characteristic classes (1)
- Classifiying spaces (1)
- Cohomology (1)
- Connected indecomposable sets (1)
- Coupled NLS Equation (1)
- Coupled nonlinear Klein-Gordon Equation (1)
- Crossed modules (1)
- Destination set. (1)
- Empty cells (1)
- Entrainment set (1)
- Fourier transforms. (1)
- Generalized quadrilateral (1)
- Genus (1)
- Hecke groups (1)
- Indecomposable continua (1)
- Integrable Hamiltonian system. 1991 Mathematics Subject Classification: 35B20 (1)
- Lie group actions (1)
- Modified Hadamard product. (1)
- Noisy dynamical systems (1)
- Orbit Fuchsian group. (1)
- Parabolic class number (1)
Articles 1 - 30 of 38
Full-Text Articles in Physical Sciences and Mathematics
Pullbacks Of Crossed Modules And Cat^1-Groups, Murat Alp
Pullbacks Of Crossed Modules And Cat^1-Groups, Murat Alp
Turkish Journal of Mathematics
In this paper, wer define the pullback cat$^{1}$-groups and we showed that the category of bullback cat$^{1}$-group is equivalent to the category of pullback crossed modules. 1991 A. M. S. C.: 13D99, 16A99, 17B99, 18D35.
The Norm In Taxicab Geometry, Cumali̇ Eki̇ci̇, I. Kocayusufoğlu, Z. Akça
The Norm In Taxicab Geometry, Cumali̇ Eki̇ci̇, I. Kocayusufoğlu, Z. Akça
Turkish Journal of Mathematics
In this paper, we will define the inner-product and the norm in taxicab geometry and then we will discuss this inner-product geometrically.
A Combinatorial Definition Of N-Types Of Simplicial Commutative Algebras, Z. Arvasi, M. Koçak, M. Alp
A Combinatorial Definition Of N-Types Of Simplicial Commutative Algebras, Z. Arvasi, M. Koçak, M. Alp
Turkish Journal of Mathematics
In this paper, we will give a description of the functor from the category of crossed $n$-cubes to that of simplicial commutative algebras and study a commutative algebra version of Loday's theorem on $n$-types of simplicial groups.
Direct Sums And The Schur Property, Betül Tanbay
Direct Sums And The Schur Property, Betül Tanbay
Turkish Journal of Mathematics
It is a known fact that $\ell^1$, the dual space of the null sequences $c_0$, has the Schur property, that is, weakly convergent sequences in $\ell^1$ are norm convergent. In this paper, we prove that if $(X_{\alpha})_{\alpha\in I}$ are Banach spaces and $X=(\oplus_{\alpha\in I}X_{\alpha})_1$ their $l_1$-sum, then the space $X$ has the Schur property iff each factor $X_{\alpha}$ has it.
The Dual Of The Bochner Space L^P(\Mu,E) For Arbitrary \Mu, Bahatti̇n Cengi̇z
The Dual Of The Bochner Space L^P(\Mu,E) For Arbitrary \Mu, Bahatti̇n Cengi̇z
Turkish Journal of Mathematics
Let $\mu$ be a finite measure, $E$ a Banach space, and $1\leq p
A New Integrable Reduction Of The Coupled Nls Equation, Mehmet Naci̇ Özer
A New Integrable Reduction Of The Coupled Nls Equation, Mehmet Naci̇ Özer
Turkish Journal of Mathematics
The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG). We also give the corresponding spectral problem and further reduce the derived equation into a finite dimensional integrable Hamiltonian system. Finally the integrability of the reduced system is deduced by using a perturbation analysis.
Cahit Arf's Contribution To Algebraic Number Theory And Related Fields, Masatoshi G. İkeda
Cahit Arf's Contribution To Algebraic Number Theory And Related Fields, Masatoshi G. İkeda
Turkish Journal of Mathematics
No abstract provided.
On A Certain Subclass Of Analytic Functions With Negative Cefficients, M. K. Aouf, Nak Eun Cho
On A Certain Subclass Of Analytic Functions With Negative Cefficients, M. K. Aouf, Nak Eun Cho
Turkish Journal of Mathematics
The object of the present paper is to derive several interesting properties of the class $T_n\lam$ consisting of analytic and univalent functions with negative coefficients. Coefficient inequalities, distortion theorems and closure theorems of functions in the class $T_n\lam$ are determined. Also radii of close-to-convexity, starlikeness and convexity are determined. Furthermore, integral operators and modified Hadamard products of several functions belonging to the class $Tn\lam$ are studied here.
Timelike Ruled Surfaces In The Minkowski 3-Space-Ii, A. Turgut, H. H. Hacisali̇oğlu
Timelike Ruled Surfaces In The Minkowski 3-Space-Ii, A. Turgut, H. H. Hacisali̇oğlu
Turkish Journal of Mathematics
This paper is devoted to a study of timelike ruled surfaces in three dimensional Minkowski space obtained by a spacelike straight line moving along a timelike curve. The central point, the curve of striction and the distribution parameter of a timelike ruled surface in Minkowski 3-space are considered, and some theorems relating to their structure are obtained. In addition, some results about developable timelike ruled surfaces are also given.
A Berry-Esseen Bound For Empty Boxes Statistic On The Scheme An Allocations Of Several Type Balls, S.A. Mirakhmedov, O. Saidova
A Berry-Esseen Bound For Empty Boxes Statistic On The Scheme An Allocations Of Several Type Balls, S.A. Mirakhmedov, O. Saidova
Turkish Journal of Mathematics
A Berry-Esseen bound for the number of empty cells in the scheme of independent and random allocation of balls of $s$ type into different cells is obtained.
The Non Uniform Bounds Of Remainder Term In Clt For The Sum Of Functions Of Uniform Spacings, S. Mirakhmedov, U. Kalandarov
The Non Uniform Bounds Of Remainder Term In Clt For The Sum Of Functions Of Uniform Spacings, S. Mirakhmedov, U. Kalandarov
Turkish Journal of Mathematics
The non uniform bound of the remainder in the central limit theorem for the sums of functions of uniform spacings is established. The bound depend on the moments of functions of the standard exponential random variables.
Weighted Ergodic Averages, M.D. Ha
Weighted Ergodic Averages, M.D. Ha
Turkish Journal of Mathematics
Let $(X, {\cal F}, \lambda)$ be the unit circle $\Bbb S^1 = \{z \in \Bbb C : z = 1\}$ with the usual $\sigma$-algebra ${\cal F}$ of Lebesgue measurable subsets and the normalized Lebesgue measure $\lambda$. Consider a sequence $\nu_n: \Bbb N \ra \Bbb R, \;\; \nu_n(k) \geq 0, \;\; \Sigma^{\infty}_{k=1} \nu_n(k) = 1$. For any measure-preserving $\tau : X \ra X$, this sequence induces a sequence $(T_n)^{\infty}_1$ of bounded, linear operators on $L^p(X), \;\; 1 \leq p \leq \infty$, by defining \[ T_n f = \sum^{\infty}_{k=1} \nu_n(k) \; f \circ \tau^k, \quad n = 1, 2, \ldots . \] …
Generalized Inverse Estimator And Comparison With Least Squares Estimator, S. Sakallıoğlu, F. Akdeniz
Generalized Inverse Estimator And Comparison With Least Squares Estimator, S. Sakallıoğlu, F. Akdeniz
Turkish Journal of Mathematics
Trenkler [13] described an iteration estimator. This estimator is defined as follows: for $0 < \gamma < 1/\lambda_i \max$ \[ \hat{\beta}_{m, \gamma} = \gamma \sum^m_{i=0} (1-\gamma X'X)^i X'y , \] where $\lambda_i$ are eigenvalues of $X'X$. In this paper a new estimator (generalized inverse estimator) is introduced based on the results of Tewarson [11]. A sufficient condition for the difference of mean square error matrices of least squares estimator and generalized inverse estimator to be positive definite (p.d.) is derived.
On Derived Equivalences And Local Structure Of Blocks Of Finite Groups, Markus Linckelmann
On Derived Equivalences And Local Structure Of Blocks Of Finite Groups, Markus Linckelmann
Turkish Journal of Mathematics
No abstract provided.
The Tachibana Operator And Transfer Of Lifts, Abdullah Mağden, Muhammet Kamali, Arif A. Salimov
The Tachibana Operator And Transfer Of Lifts, Abdullah Mağden, Muhammet Kamali, Arif A. Salimov
Turkish Journal of Mathematics
The main purpose of this paper is to investigate, using the Tachibana operator, transfer of the complete lifts of affinor structures along the cross-sections of the tangent and cotangent bundles.
On The Validity Of The Borel-Hirzebruch Formula For Topological Actions, D. Dönmez
On The Validity Of The Borel-Hirzebruch Formula For Topological Actions, D. Dönmez
Turkish Journal of Mathematics
We defined an equivalence among group actions and find sufficient conditions for actions of compact connected Lie groups on Euclidean spaces for which the topological version of the Borel-Hirzebruch formula holds.
Crossed N-Cubes And N-Crossed Complexes Of Commutative Algebras, Z. Arvasi̇, M. Koçak
Crossed N-Cubes And N-Crossed Complexes Of Commutative Algebras, Z. Arvasi̇, M. Koçak
Turkish Journal of Mathematics
In this paper we will define crossed $\Bbb N$-cubes and n-crossed complexes of commutative algebras and construct a functor from the category of simplicial algebras to that of n-crossed complexes.
Dold-Kan Type Theorems For N-Types Of Simplicitial Commutative Algebras, Z. Arvasi̇, M. Koçak
Dold-Kan Type Theorems For N-Types Of Simplicitial Commutative Algebras, Z. Arvasi̇, M. Koçak
Turkish Journal of Mathematics
A functor from simplicial algebras to crossed \( n \)-cubes is shown to be an embedding on a reflexive subcategory of the category of simplicial algebras that contains representatives for all \( n \) types.
From Simplicial Groups To Crossed Complexes, Z. Arvasi̇
From Simplicial Groups To Crossed Complexes, Z. Arvasi̇
Turkish Journal of Mathematics
In this paper, we will give a short proof of the construction of the crossed complex of groups by using the higher order Peiffer elements.
Locally Volume-Minimizing Codimension-One Foliation Of The Solid Torus, İ. Kocayusufoğlu, D. L. Jhonson
Locally Volume-Minimizing Codimension-One Foliation Of The Solid Torus, İ. Kocayusufoğlu, D. L. Jhonson
Turkish Journal of Mathematics
The aim of this paper is to construct a specific codimension-1 foliation of \( D^2 \times S^1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations with the boundary torus as a leaf.
Normal Subgroups Of Hecke Groups On Sphere And, İsmai̇l Naci̇ Cangül, Osman Bi̇zi̇m
Normal Subgroups Of Hecke Groups On Sphere And, İsmai̇l Naci̇ Cangül, Osman Bi̇zi̇m
Turkish Journal of Mathematics
We use regular map theory to obtain all normal subgroups of Hecke groups of genus 0 and 1. The existence of a regular map corresponding uniquely to every normal subgroup of Hecke groups H(\lambda_q) is a result of Jones and Singerman, and it is frequently used here to obtain normal subgroups. It is found that when q is even, H(\lambda_q) has infinitely many normal subgroups on the sphere, while for odd q, this number is finite. The total number of normal subgroups of H(\lambda_q) on a torus is found to be either 0 or infinite. The latter case appears iff …
On 3 Dimensional Isotropic Submaniolds Of A Space From, Takehiro Itoh, Koichi Ogiue
On 3 Dimensional Isotropic Submaniolds Of A Space From, Takehiro Itoh, Koichi Ogiue
Turkish Journal of Mathematics
We study 3-dimensional isotropic submanifolds of a space form with low-dimensional first normal space
On Certain Varieties Of Semigroups, A. Tiefenbach
On Certain Varieties Of Semigroups, A. Tiefenbach
Turkish Journal of Mathematics
In this paper we generalize the class of completely regular semigroups (unions of groups) to the class of local monoids, that is the class of all semigroups where the local subsemigroups \( aSa \) are local submonoids. The sublattice of this variety \( (\mathbf{L}(\caL(\cam)) \) covers another lattice isomorphic to the lattice of all bands \( ([x^2 = x]). \) Every bundvariety \( \cau \) has as image the variety \( \Phi - \cau, \) which is the class of all semigroups, where \( \Phi \) is a \( \cau \)-congruence \( (a \Phi b \Leftrightarrow aSa = bSb). \) …
On The Differential Prime Radical Of A Differential Ring, Djavvat Khadjiev, Fethi̇ Çallialp
On The Differential Prime Radical Of A Differential Ring, Djavvat Khadjiev, Fethi̇ Çallialp
Turkish Journal of Mathematics
In this paper we have obtained the following results for a differential ring (associative or nonassociative): (1) For a differential ring ({\cal D}-ring) we introduce definitions of a {\cal D}-prime {\cal D}-ideal, {\cal D}-semiprime {\cal D}-ideal and a strongly {\cal D}-nilpotent element. We define the {\cal D}-prime radical as the intersection of all {\cal D}-prime {\cal D}-ideals. For any {\cal D}-ring the {\cal D}-prime radical, the intersection of all {\cal D}-semiprime {\cal D}-semiprime {\cal D}-ideals and the set of all strongly {\cal D}-nilpotent elements are equal. (2) For a {\cal D}-ring we introduce a definition of an s-nilpotent {\cal D}-ideal. …
On The Cohomology Ring Of The Infinite Flag Manifold Lg/D, Cenap Özel
On The Cohomology Ring Of The Infinite Flag Manifold Lg/D, Cenap Özel
Turkish Journal of Mathematics
In this work, we discuss the calculation of cohomology rings of LG / T. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and investigate the cohomology ring structures of LSU_2 /T and \Omega SU_2. Also we prove that BGG-type operators correspond to partial derivation operators on the divided power algebras.
Cess-Modules, Cesim Çelik
Cess-Modules, Cesim Çelik
Turkish Journal of Mathematics
In this paper, we investigate generalizations of CS-modules, namely CESS-modules, weak CS-modules and modules satisfying a condition (P). Several results are given to show the relationships between the classes of these modules.
Finite Direct Sums Of (D1)-Modules, Derya Keskin
Finite Direct Sums Of (D1)-Modules, Derya Keskin
Turkish Journal of Mathematics
In this paper we give necessary conditions for a finite direct sum of (D1)--modules to be a (D1)--module.
About Some Classical Functional Equations, Nicolae Neamtu
About Some Classical Functional Equations, Nicolae Neamtu
Turkish Journal of Mathematics
The purpose of this paper is to give a new method of finding the solution of Lobashevsky's functional equation and those of other classical functional equations. At the beginning we present the properties of solution $f, \; f \neq 0$, of Lobachevsky's functional equation. Using only the boundedness property on $(-r, r)$, we deduce the continuity, convexity and differentiability properties of the solution.
Theorems On Three-Term Relations For Hardy Sum, Y. Şi̇mşek
Theorems On Three-Term Relations For Hardy Sum, Y. Şi̇mşek
Turkish Journal of Mathematics
Some three-term and mixed three-term relations for Hardy sums were given by Goldberg [7]. His proofs are based on Bernd's transformation formulae for the logarithms of the classical Theat-functions. Pettet and Sitaramachandararo [9] proved elementary proofs for all of Goldberg's results and also proved some three-term relations of Dedekind sums. In this paper, some new theorems on three-term relations for hardy sums were found by applying derivative operator to three-term polynomial relation. Furthermore, proofs of the reciprocity relations for Hardy sums are presented in a more concise way from the original proofs of Berndt [2, 3, 4] and Goldberg [7].
On The Action Of Steenrod Operations On Polynomial Algebras, İ. Karaca
On The Action Of Steenrod Operations On Polynomial Algebras, İ. Karaca
Turkish Journal of Mathematics
Let \( \bba \) be the mod-\( p \) Steenrod Algebra. Let \( p \) be an odd prime number and \( Z_{p} = Z/pZ \). Let \( P_{s} = Z_{p} [x_{1},x_{2},\ldots,x_{s}]. \) A polynomial \( N \in P_{s} \) is said to be hit if it is in the image of the action \( A \otimes P_{s} \ra P_{s}. \) In [10] for \( p=2, \) Wood showed that if \( \a(d+s) > s \) then every polynomial of degree \( d \) in \( P_{s} \) is hit where \( \a(d+s) \) denotes the number of ones in the …