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Articles 1 - 30 of 124
Full-Text Articles in Physical Sciences and Mathematics
Locally Topological Groupoids, Osman Mucuk
Locally Topological Groupoids, Osman Mucuk
Turkish Journal of Mathematics
The notion of Iocally topological groupoid was introduced by Aof and Brown in [2]. On the other hand in [6] by Mackenzie a topological groupoid MG, called monodromy groupoid, is constructed. In this paper we prove that this groupoid MG gives a Iocally topological groupoid.
Critical Point Theory In Mathematics And In Mathematical Physics, Raoul Bott
Critical Point Theory In Mathematics And In Mathematical Physics, Raoul Bott
Turkish Journal of Mathematics
No abstract provided.
Seiberg-Witten Invariants When Reversing Orientation, Tedi Draghici
Seiberg-Witten Invariants When Reversing Orientation, Tedi Draghici
Turkish Journal of Mathematics
In this paper, the very first step is taken towards solving the recently proposed conjecture by Kronheimer and Mrowka [KM2] concerning the Casson's invariant of an oriented homology 3-sphere and its Seiberg-Witten Floer homology.
Seiberg-Witten Equations On R^8, Ayşe Hümeyra Bi̇lge, Tekin Dereli̇, Şahin Koçak
Seiberg-Witten Equations On R^8, Ayşe Hümeyra Bi̇lge, Tekin Dereli̇, Şahin Koçak
Turkish Journal of Mathematics
We show that there are no nontrivial solutions of the Seiberg-Witten equations on R^8 with constant standard {spin}^c structure.
On The Solution Of The E.P.D. Equation Using Finite Integral Transformations, Neşe Dernek
On The Solution Of The E.P.D. Equation Using Finite Integral Transformations, Neşe Dernek
Turkish Journal of Mathematics
In this paper, a solution is given for the following initial boundary value problem: \Delta=u_{tt}+k/t+u_t+g(x, t) (t>0) u(0, t)=u(a, t)=0 u(x, 0)=f(x), u_t(x, 0)=0 where x, a \epsilon R^n, t is the time variable, k < 1, k ? -1, -2, -3, . . . is a real parameter, \Delta is the n dimensional Laplace operator, f and g real analytic functions. The equation in this problem is known as the nonhomogeneous Euler-Poisson-Darboux (E.P.D.) Equation. The solution is obtained using finite integral transformation technique and is the sum of two uniformly and absolutely convergent power series.
The Hessian Tensor On A Hypersurface In Euclidean Space And Otsuki's Lemma, Erdal Gül
The Hessian Tensor On A Hypersurface In Euclidean Space And Otsuki's Lemma, Erdal Gül
Turkish Journal of Mathematics
The purpose of this paper is to obtain a condition for a hypersurface in Euclidean space with belongs to Hessian Tensor and is to give an alternative proof of Otsuki's lemma by applying this condition.
On High Order Riesz Transformations Generated By Generalized Shift Operator, İsmai̇l Eki̇nci̇oğlu, İ. Kaya Özkin
On High Order Riesz Transformations Generated By Generalized Shift Operator, İsmai̇l Eki̇nci̇oğlu, İ. Kaya Özkin
Turkish Journal of Mathematics
In this paper, we determine high order Riesz transformations by using generalized shift operators and giving some of their properties.
Influence Of Some Crosslinkers On The Swelling Of Acrylamide-Crotonic Acid Hydrogels, Erdener Karadağ, Dursun Saraydin, Olgun Güven
Influence Of Some Crosslinkers On The Swelling Of Acrylamide-Crotonic Acid Hydrogels, Erdener Karadağ, Dursun Saraydin, Olgun Güven
Turkish Journal of Chemistry
Acrylamide-crotonic acid hydrogels in the form of rods are prepared by \gamma-irradiation of quaternary mixtures of acrylamide-crotonic acid-crosslinker-water with 2.6 and 5.2 kGy \gamma-rays. The influence of the applied dose, the relative content of crotonic acid and crosslinkers such as ethylene glycol dimethacrylate, 1.4 butanediol dimethacrylate and N,N' methylenebisacrylamide on the swelling properties of the gel, the diffusional behaviour of water, the diffusion coefficient, and the network parameters of hydrogel systems are examined. Acrylamide-crotonic acid hydrogels containing various crosslinkers had a maximum swelling in the range 240-850 \%. Water diffusion to hydrogels was non-Fickian. The diffusion coefficients varied between 4.6 …
On Ideals Of Prime Rings With (\Sigma, \Tau)- Derivations, Q. Deng, M. Ş. Yeni̇gül, N. Argaç
On Ideals Of Prime Rings With (\Sigma, \Tau)- Derivations, Q. Deng, M. Ş. Yeni̇gül, N. Argaç
Turkish Journal of Mathematics
Let R be a prime ring. Let \sigma , \tau be two homomorphisms and d be a (\sigma,\tau)-derivation of R. The purpose of this paper is to prove two results: (i) If char R \neq 2, U is a non-zero ideal of R, \sigma is subjective such that \sigma (U) \neq 0, \tau is an automorphism and [d(U), d(U)]_{\sigma,\tau} = 0, then \sigma^2 = \tau^2 and \sigma \tau = \tau \sigma. (ii) Under the assumptions that either char R = 0 or char R > max {2,n}, U is a non-zero right ideal, and \sigma, \tau are automorphisms of R, suppose …
Kirby Calculus In Manifolds With Boundary, Justin Roberts
Kirby Calculus In Manifolds With Boundary, Justin Roberts
Turkish Journal of Mathematics
Suppose there are two framed links in a compact, connected 3-manifold (possibly with boundary, or non-orientable) such that the associated 3-manifolds obtained by surgery are homeomorphic (relative to their common boundary, if there is one.) How are the links related? Kirby's theorem gives the answer when the manifold is S^3, and Fenn and Rourke extended it to the case of any closed orientable 3-manifold, or S^1 \tilde{\times} S^2. The purpose of this note is to give the answer in the general case, using only minor modifications of Kirby's original proof.
Fibonacci Sequences In Finite Nilpotent Groups, Ramazan Di̇ki̇ci̇, Geoff C. Smith
Fibonacci Sequences In Finite Nilpotent Groups, Ramazan Di̇ki̇ci̇, Geoff C. Smith
Turkish Journal of Mathematics
We have proved that, for the 3-step Fibonacci recurrence and any finite p-group of exponent p and nilpotency class 3, the length of a fundamental period of any loop satisfying the recurrence must divide the period of the ordinary 3-step Fibonacci sequence in the field GF(p).
Nv-P-Groups With Nilpotent Centralizers, Ali Osman Asar, Aynur Yalincaklioğlu
Nv-P-Groups With Nilpotent Centralizers, Ali Osman Asar, Aynur Yalincaklioğlu
Turkish Journal of Mathematics
In this work a sufficient condition is given for an NC-p-group to have an epimorphic image which is an NF-p-group.
The Rank And The Crank Modulo 5, A. Bülent Eki̇n
The Rank And The Crank Modulo 5, A. Bülent Eki̇n
Turkish Journal of Mathematics
Let p(n) denote the number of partitions of n . Ramanujan's partition congruences are p(5n + 4) , p(7n + 5) and p(11n + 6) = mod 5, 7, and 11, respectively. These have been proved in number of ways. Atkin and Swinnerton-Dyer proved the congruences and some more relations about partition İn the case of mod5 and 7 in terms of rank, Garvan proved them in three cases in terms of crank. In this study, we give an another proof of their results in the case of mod5 by using the theory of modular forms. Although our method is …
Near Ultrafilters And Compactification Of Topological Groups, Mahmut Koçak, Zekeriya Arvasi̇
Near Ultrafilters And Compactification Of Topological Groups, Mahmut Koçak, Zekeriya Arvasi̇
Turkish Journal of Mathematics
No abstract provided.
On Coincidence Points Of Densifying Mappings, M. S. Khan, Z. Q. Liu
On Coincidence Points Of Densifying Mappings, M. S. Khan, Z. Q. Liu
Turkish Journal of Mathematics
A coincidence point theorem for anew class of densifying mappings is obtained. Our result generalizes many previously known theorems and can be regarded as an extension of Jungck's fixed point theorem for densifying mappings. Key words and phases: complete metric space, common fixed points, densifying mappings, commuting mappings.
Painlevé Analysis And Infinite Lie Symmetries Of The Complex Modified Korteweg-De Vries-Ii Equation, Abulgassim Ali Muhammad, Mehmet Can
Painlevé Analysis And Infinite Lie Symmetries Of The Complex Modified Korteweg-De Vries-Ii Equation, Abulgassim Ali Muhammad, Mehmet Can
Turkish Journal of Mathematics
The Painleve analysis developed by Weiss et al. [9] for nonlinear partial differential equations is applied to the CMKdV-II equation. It has been shown that this equation passes the Painleve test. By specializing the arbitrary functions that appear in the phi series expansions found in the test, one obtains a system of partial differential equations for the formally arbitrary data. For specific systems, and conjectured in general, these equations are integrable. The form of the resulting reduction enables the identification of integrable reductions of the original systems. Assuming u_i = \upsilon_i = 0, i >= 2 we obtain conditions to …
On A Generalisation Of Lie Ideals In Prime Rings, Arif Kaya
On A Generalisation Of Lie Ideals In Prime Rings, Arif Kaya
Turkish Journal of Mathematics
Let R be a prime ring of characteristic 3, \sigma and \tau automorphisms of R, U a non zero ( \sigma, \tau) - Lie ideal of R, d a nonzero derivation of R such that \sigmad = d\sigma , \taud = d\tau,d(U) (bak) U, and d^2(U) (bak) Z, the center of R. Then we prove that U (bak) Z. This provides a proof of the Theorem in [4], when char R = 3.
Characterization Of Some Rings By Functor Z*(.), Ayşe Çiğdem Özcan, Abdullah Harmanci
Characterization Of Some Rings By Functor Z*(.), Ayşe Çiğdem Özcan, Abdullah Harmanci
Turkish Journal of Mathematics
Let X = {M : Z*(M) = 0} and X* = {M : Q ]]] Keywords:
Certain Meromorphically Starlike Functions With Positive And Fixed Second Coefficients, M. K. Aouf, H. E. Darwish
Certain Meromorphically Starlike Functions With Positive And Fixed Second Coefficients, M. K. Aouf, H. E. Darwish
Turkish Journal of Mathematics
In this paper we consider the class \SigmaS*{_o,c} ( \alpha ) consisting of meromorphically starlike univalent functions with positive coefficients and fixed second coefficients. The object of the present paper is to show coefficient estimates and closure theorems for this class. Also, we obtain the radius of convexity for functions belonging to the class \SigmaS*{_o,c} ( \alpha ).
On The Theory Of A Certain Class Of Quadratic Pencils Of Matrices And Its Applications, G.Sh. Guseinov, G. Oturanç
On The Theory Of A Certain Class Of Quadratic Pencils Of Matrices And Its Applications, G.Sh. Guseinov, G. Oturanç
Turkish Journal of Mathematics
This paper is devoted to the study of the properties of eigenvalues and eigenvectors of quadratic pencil \lambda^2C - \lambdaR - J , where C is a positive diagonal matrix, R is an arbitrary real diagonal matrix, J is a ,, tridiagonal" real symmetric and positive matrix. The obtained results are then used to solve the corresponding system of differential equations with boundary and initial conditions. Kev Words: Quadratic pencijs, eigenvalues, eigenvectors.
The Linear Mean Value Of The Remainder Term In The Problem Of Asymptotic Behavior Of Eigenfunctions Of The Automorphic Laplacian, Zernişan Emi̇rleroğlu
The Linear Mean Value Of The Remainder Term In The Problem Of Asymptotic Behavior Of Eigenfunctions Of The Automorphic Laplacian, Zernişan Emi̇rleroğlu
Turkish Journal of Mathematics
The purpose of this paper is to obtain the estimate for the average mean value of the remainder term of the asymptotic formula for the quadratic mean value of the Fourier coefficients of the eigenfunctions over the discrete spectrum of the automorphic Laplacian.
On Hill's Equation With Piecewise Constant Coefficient, I. Yaslan, G.Sh. Guseinov
On Hill's Equation With Piecewise Constant Coefficient, I. Yaslan, G.Sh. Guseinov
Turkish Journal of Mathematics
In this paper the eigenvalues of the periodic and the semi-periodic boundary value problems associated with Hill's equation are investigated in the case of piecewise constant coefficient. As a corollary the asymptotic formula for the lengths of the instability intervals of Hill's equation is derived and it is shown that they increase beyond all bounds. Also, the conditions for coexistence of periodic and semi-periodic solutions are indicated.
An Introduction To Topological Quantum Field Theories, Michael Atiyah
An Introduction To Topological Quantum Field Theories, Michael Atiyah
Turkish Journal of Mathematics
No abstract provided.
Seiberg-Witten \`{A} La Furuta And Genus Bounds For Classes With Divisibility, Jim Bryan
Seiberg-Witten \`{A} La Furuta And Genus Bounds For Classes With Divisibility, Jim Bryan
Turkish Journal of Mathematics
No abstract provided.
Casson's Invariant And Seiberg-Witten Gauge Theory, Weimin Chen
Casson's Invariant And Seiberg-Witten Gauge Theory, Weimin Chen
Turkish Journal of Mathematics
In this paper, the very first step is taken towards solving the recently proposed conjecture by Kronheimer and Mrowka [KM2] concerning the Casson's invariant of an oriented homology 3-sphere and its Seiberg-Witten Floer homology.
Differentiable Functions And The Generators On A Hilbert-Lie Group, Erdal Coşkun
Differentiable Functions And The Generators On A Hilbert-Lie Group, Erdal Coşkun
Turkish Journal of Mathematics
A convolution semigroup plays an important role İn the theory of probability measure on Lie groups. The basic problem is that one wants to express a semigroup as a Lévy-Khinckine formula. If (\mu_t)_{t\epsilonR*_+} is a continuous semigroup of probability + measures on a Hilbert-Lie group G, then we define T{\mu_t}f:=\integral f_a\mu_t(da) (f\epsilonC_u(G),t>0 It is apparent that (\mu_t)_t{t\epsilonR*_+} is a contİnuous operator semigroup on the space + C_u ( G) with the İnfinitesimal generator N. The generatİng functional A of this semigroup is defined by A := Iim_t-->0 1/t(T_{\mu_t}f(e) - f(e). We have the problem of consliuction of a …
The Study Of The Level Zero Crossing Time Of A Semi-Markovian Random Walk With Delaying Screen, Tahir A. Khaniev, İhsan Ünver
The Study Of The Level Zero Crossing Time Of A Semi-Markovian Random Walk With Delaying Screen, Tahir A. Khaniev, İhsan Ünver
Turkish Journal of Mathematics
In this study, a semi-Markovian random walk with delaying screen at (\beta > O and the first crossing time ('\gamma1) of the zero level of this process are constructed. Furthermore, the distribution function with its Laplace transform, expected value and variance of random variable (\gamma1) are calculated. In addition to these, a formula for the higher order moments of ('\gamma1) is given.
An Application Of Linear Topological Invariants, Bora Arslan, Mefharet Kocatepe
An Application Of Linear Topological Invariants, Bora Arslan, Mefharet Kocatepe
Turkish Journal of Mathematics
We consider a possible isomorphism of cartesian product of two Dragilev spaces of infinite type, and by making use of Zahariuta invariants and some structural properties, we show that if there is such an isomorphism, then any factor on the left is nearly isomorphic to the corresponding factor on the right. Key Words and Phrases: Linear topological invariants, Dragilev space, Dragilev function, rapidly increasing function.
Arithmetic Of A Semigroup Of Series In Legendre Functions Of The Second Kind, I. P. Il'inskaja
Arithmetic Of A Semigroup Of Series In Legendre Functions Of The Second Kind, I. P. Il'inskaja
Turkish Journal of Mathematics
In the framework of D. Kendall's theory of Delphic semigroups, a semigroup of series in Legendre functions of the second kind is studied. The basic factorization theorems are prowed, the classes of infinitely divisible elements and of elements without indecomposable factors are completely described, the density of the class of indecomposable elements is established.
Integral Closure Of An Ideal Relative To A Module And \Delta-Closure, Yücel Tiraş
Integral Closure Of An Ideal Relative To A Module And \Delta-Closure, Yücel Tiraş
Turkish Journal of Mathematics
The aim in this paper is to give the relation between the \Delta-closure of an ideal I in a commutative Noetherian ring R, (see [3]), and the integral closure of the ideal i relative to a Noetherian R-module (see (1.1). Definition) and to give the closure cancellation law