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- Oscillation (23)
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Articles 2461 - 2490 of 2494
Full-Text Articles in Physical Sciences and Mathematics
On The Additive Group Structure Of Nonstandard Models Of Z, Ç. Gencer, M. Terzi̇ler
On The Additive Group Structure Of Nonstandard Models Of Z, Ç. Gencer, M. Terzi̇ler
Turkish Journal of Mathematics
Let \hat{Z} denote the inverse limit of finite cyclic groups and F_gZ the group where $F$ is a vector space over Q and + is defined by (a, x)+(b, y)=(a+b, x+y+g(a,b)) for some g: F\times F\rightarrow Z. In this paper we show that any nonstandard model Z^{\star} of Z is isomorphic to F_{\beta}Z for some \beta: F\rightarrow \hat{Z} where F=Z^{\star}/Z.
A Note On Double Sequences Of Fuzzy Numbers, E. Savaş
A Note On Double Sequences Of Fuzzy Numbers, E. Savaş
Turkish Journal of Mathematics
In this paper we introduce double convergent sequences of fuzzy numbers and we also study the space of double convergent sequences of fuzzy numbers.
Rings In Which Strongly Prime Right Ideals Are Finitely Generated, A. Kaya
Rings In Which Strongly Prime Right Ideals Are Finitely Generated, A. Kaya
Turkish Journal of Mathematics
Some properties of rings in which every strongly prime right ideal is finitely generated will be investigated, and sufficient conditions for such rings to be right noetherian will be given. Let R be an s-unital ring (i.e., a\in aR\cap Ra for each a\in R) and I(\neq R)a right ideal of R. If, for each right ideals A and B of R, AB\subseteq I implies that either A\subseteq I or B\subseteq I, then I is called a prime right ideal (or equivalently, if a\, R\,b \not\subseteq I whenever a and b do not belong to I). I is strongly prime if, …
Relations Between Classes Of Dragilev Spaces (F_1)_{\Sigma} And (F_2)_{\Sigma} For Arbitrary Function F^{-1}_{1}\Circ F_2}, V. Kashirin, A. Vakulenko
Relations Between Classes Of Dragilev Spaces (F_1)_{\Sigma} And (F_2)_{\Sigma} For Arbitrary Function F^{-1}_{1}\Circ F_2}, V. Kashirin, A. Vakulenko
Turkish Journal of Mathematics
Necessary and sufficient condition under wich Dragilev classes (f_1)_{\sigma} and (f_2)_{\sigma} coincide have been found for an arbitrary function f^{-1}_{1}\circ f_2.
A Property Of Meldrum Groups, A. O. Asar, S. Atlihan
A Property Of Meldrum Groups, A. O. Asar, S. Atlihan
Turkish Journal of Mathematics
In this work it is shown that the direct product of two Meldrum groups does not satisfy the normalizer condition. It is not known yet if the same result holds true for any two HM-groups.
The Group Structure Of Hecke Groups H(\Lambda_Q), İ. N. Cangül
The Group Structure Of Hecke Groups H(\Lambda_Q), İ. N. Cangül
Turkish Journal of Mathematics
In this work a new proof of the fact that the group structure of the Hecke groups is isomorphic to the free product of two cyclic groups of orders 2 and q is given The method used in the proof requires a result of A.M. Macbeath together with the notion of fundamental region. Also given are some new results on the parabolic points of Hecke groups, which still is an open problem.
Absolutely Representing Systems And Convolution Operators In The Complex Domain, Yu. F. Korobeinik
Absolutely Representing Systems And Convolution Operators In The Complex Domain, Yu. F. Korobeinik
Turkish Journal of Mathematics
The author suggests a method of characterizing of the kernel of a convolution-type operator. The method is based on the exact description of nontrivial expansions of zero of an absolutely representing system consisting of eigen vectors of some linear operator with continuous spectrum. The method suggested in the paper is applied to the characterization of the kernel of the convolution-type operator defined on some space of entire functions and to the factorization of such an operator.
(\Sigma, \Tau)- Lie Ideals In Prime Rings With Derivation, M. Soytürk
(\Sigma, \Tau)- Lie Ideals In Prime Rings With Derivation, M. Soytürk
Turkish Journal of Mathematics
Let R be a prime ring, char R\neq 2,3 \, \sigma, \tau : R\rightarrow R two automorphisms, U a nonzero (\sigma, \tau)- Lie ideal of R and o\neq d : R\rightarrow R$ a derivation such that \sigma d = d\sigma, \tau d = d\tau. In this paper we have proved the following results. (1) If d (U) \subset Z then U\subset Z (2) If d(U) \subset U and d^2 (U) \subset Z then U\subset Z.
Linear Topologic Invariants And Their Applications To Isomorphic Classification Of Generalized Power Spaces, V. Zahariuta
Linear Topologic Invariants And Their Applications To Isomorphic Classification Of Generalized Power Spaces, V. Zahariuta
Turkish Journal of Mathematics
In the present survey generalized linear topological invariants are considered as a development of classical invariants of Kolmogorov and Pelczynski (approximative and diametral dimensions). It is realized a geometric idea to construct some new invariant characteristics by applying of classical characteristics (diameter or entropy-like characteristics) to some symplest interpolational constructions under neighborhoods, taken from a given basis of neighborhoods of zero. It is considered various applications to isomorphic classification of generalized power K\"{o}the spaces (in particular, tensor products of finite and infinite type power series spaces, spaces of analytic and infinitely differentiable vector-valued functions, spaces of analytic functions of several …
On Homotopic, Non--Isomorphic Tight Contact Structures On 3-Manifolds, Paolo Lisca, Gordana Matic
On Homotopic, Non--Isomorphic Tight Contact Structures On 3-Manifolds, Paolo Lisca, Gordana Matic
Turkish Journal of Mathematics
No abstract provided.
A Survey Of Symplectic 4-Manifolds With B^+ = 1, Dusa Mcduff, Dietmar Salamon
A Survey Of Symplectic 4-Manifolds With B^+ = 1, Dusa Mcduff, Dietmar Salamon
Turkish Journal of Mathematics
No abstract provided.
Removable Singularities And A Vanishing Theorem For Seiberg-Witten Invariants, Dietmar Salamon
Removable Singularities And A Vanishing Theorem For Seiberg-Witten Invariants, Dietmar Salamon
Turkish Journal of Mathematics
No abstract provided.
Higher Genus Symplectic Invariants And Sigma Model Coupled With Gravity, Yongbin Ruan, Gang Tian
Higher Genus Symplectic Invariants And Sigma Model Coupled With Gravity, Yongbin Ruan, Gang Tian
Turkish Journal of Mathematics
No abstract provided.
Akbulut's Corks And H-Cobordisms Of Smooth, Simply Connected 4-Manifolds, Rob Kirby
Akbulut's Corks And H-Cobordisms Of Smooth, Simply Connected 4-Manifolds, Rob Kirby
Turkish Journal of Mathematics
No abstract provided.
Fixed Points And Completeness, Z. Liu
Fixed Points And Completeness, Z. Liu
Turkish Journal of Mathematics
We give five necessary and sufficient conditions for a metric space to be complete.
The Inverse Nonstationary Scattering Problem For A Hyperbolic System Of Equations On Semi-Axis, N. Sh. Iskenderov, A. Yildiz
The Inverse Nonstationary Scattering Problem For A Hyperbolic System Of Equations On Semi-Axis, N. Sh. Iskenderov, A. Yildiz
Turkish Journal of Mathematics
In this paper, the direct and inverse nonstationary scattering problem for a hyperbolic system of n equations (n>3) on a semi-axis is studied. The coefficients of the system are uniquely determined according to scattering operator. The solution of the problem is generalized for an arbitrary natural number n applying the properties of separation of factors by means of operator transformations to some elements of the scattering operator and its inverse as well as reducing the scattering problem given on a semi-axis to the scattering problem on the whole-axis.
On Affine Selection And Separation Of Vector Valued Functions, S. Alpay, Z. Ercan
On Affine Selection And Separation Of Vector Valued Functions, S. Alpay, Z. Ercan
Turkish Journal of Mathematics
Let K be a Choquet simplex, E a Fr\'{e}chet space and \Phi: K \ra 2^E a map such that \Phi(x) is closed and convex for each x \in K. A sufficient condition is given for \Phi to have a continuous affine selection.This is employed to prove a separation theorem for vector valued semicontinuous functions from a Choquet simplex into an ordered Fr\'{e}chet space.
Configuration Spaces And Imbedding Invariants, Raoul Bott
Configuration Spaces And Imbedding Invariants, Raoul Bott
Turkish Journal of Mathematics
No abstract provided.
Contact Structures And Foliations On 3-Manifolds, Yakov M. Eliashberg, William P. Thurston
Contact Structures And Foliations On 3-Manifolds, Yakov M. Eliashberg, William P. Thurston
Turkish Journal of Mathematics
No abstract provided.
Lectures On Seiberg-Witten Invariants, Selman Akbulut
Lectures On Seiberg-Witten Invariants, Selman Akbulut
Turkish Journal of Mathematics
No abstract provided.
The Multi-Monopole Equations For K\"Ahler Surfaces, James A. Bryan, Richard Wentworth
The Multi-Monopole Equations For K\"Ahler Surfaces, James A. Bryan, Richard Wentworth
Turkish Journal of Mathematics
The purpose of this paper is to introduce a natural generalization of the Seiberg-Witten equations having more than one Spinor field ("monopole") and to study the moduli space of solutions in the case of a K\"ahler surface. We find an explicit algebro-geometric construction of the moduli space. In the course of our construction, we prove an existence and uniqueness result for a generalization of the Kazdan-Warner equation.
The Minimal Genus Of An Embedded Surface Of Non-Negative Square In A Rational Surface, Daniel Ruberman
The Minimal Genus Of An Embedded Surface Of Non-Negative Square In A Rational Surface, Daniel Ruberman
Turkish Journal of Mathematics
No abstract provided.
A Note On The Geography Of Symplectic Manifolds, Andras Stipsicz
A Note On The Geography Of Symplectic Manifolds, Andras Stipsicz
Turkish Journal of Mathematics
No abstract provided.
Star Topological Groupoids, O. Mucuk
Star Topological Groupoids, O. Mucuk
Turkish Journal of Mathematics
In [4] a construction on topological groups was given. In this paper we generalize this costruction to more general topological groupoids and have a similar structure on the topological groupodis.
Operations With The Periodic Decimal Expansions, H. Ardahan
Operations With The Periodic Decimal Expansions, H. Ardahan
Turkish Journal of Mathematics
In this paper, we prove the rules of direct addition and subtraction for the finite decimal expansions of fractions which are periodic. It has been shown that these rules are valid for the fractions which can be expanded as a periodic decimal with p figures in the period or have the mixed decimal part containing \nu non-periodic and p periodic figures. Also, it has been given a rule of multiplication for these periodic decimals by 10^{\nu}, \nu\in\Bbb N. Last of all, if a rational fraction has a period of length p, then it can be expressed by a decimal expansion, …
A Note On Intuitionistic Sets And Intuitionistic Points, D. Çoker
A Note On Intuitionistic Sets And Intuitionistic Points, D. Çoker
Turkish Journal of Mathematics
The purpose of this note is to define the so-called "intuitionistic sets" and "intuitionistic points", and obtain their fundamental properties.
Finite Dimensional Attractors For A Class Of Semilinear Wave Equations, A. Eden, V. Kalantarov
Finite Dimensional Attractors For A Class Of Semilinear Wave Equations, A. Eden, V. Kalantarov
Turkish Journal of Mathematics
In this paper we give a self-contained survey of results related with the global attractors for a class of nonlinear wave equations with damping or viscosity terms. In particular, we prove the existence of a finite dimensional attractor and estimate its fractal dimension by imbedding it in an exponential attractor. Some results on global stability, existence of finite dimensional attractors were already partially discussed in Kalantarov [44] and in Eden et. al. [25], however we simplify the framework by introducing a unified approach to both the existence of attractors through \alpha-contractions and the construction of exponential attractors via some Lipschitzianity …
An Extension Of The Binomial Theorem With Application To Stability Theory, Z. Zahreddinea
An Extension Of The Binomial Theorem With Application To Stability Theory, Z. Zahreddinea
Turkish Journal of Mathematics
We show how it is possible to put different stability types such as Routh-Hurwitz and Schur-Cohn on common grounds by establishing direct links between them. In the process, we obtain natural and elegant extensions of both Pascal's rule and the binomial theorem, which prove useful in establishing our main results. A M S subject classification: Primary 34D, Secondary 93D.
A Note On Gamma Rings, M. Sapanci, A. Nakajimaz
A Note On Gamma Rings, M. Sapanci, A. Nakajimaz
Turkish Journal of Mathematics
Let M be a \Gamma-ring and D a non-zero left derivation on M. We show that if there exists an element m in M such that D(m) is a right non-zero divisor, then M is commutative.
On A Differential Sequence In Geometry, E. Ortaçgi̇l
On A Differential Sequence In Geometry, E. Ortaçgi̇l
Turkish Journal of Mathematics
We construct an exact differential sequence which indicates certain relations between curvature, local flatness, torsion and simplicity of higher order connections. Our formulas are expressed explicity in terms of the Christoffel symbols of dual \varepsilon-connections.