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Full-Text Articles in Physical Sciences and Mathematics

Locally Topological Groupoids, Osman Mucuk Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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.


Nc-P-Groups Satisfying The Normalizer Condition, Ali Osman Asar Jan 1997

Nc-P-Groups Satisfying The Normalizer Condition, Ali Osman Asar

Turkish Journal of Mathematics

Let G be a perfect locally nilpotent p-group in which every proper subgroup is nilpotent-by-Chernikov. It is shown that in G/Z(G) every proper subgroup is a Chernikov extension of a nilpotent subgroup Of finite exponent (Theorem 1). This resut is then used to give a characterization of G if, in addition, it satisfies the normalizer condition (Theorem 2).


On The Curves Of Constant Breadth In E^4 Space, Abdullah Mağden, Ömer Köse Jan 1997

On The Curves Of Constant Breadth In E^4 Space, Abdullah Mağden, Ömer Köse

Turkish Journal of Mathematics

In this paper, the concepts concerning the space curves of constant breadth were extended to E^4 -space. The integral of third curvature of the curve was obtained as (bak) \sigmads = 2k7\pi(k E Z) . In addition, the relation (bak) g(\kappa, \tau, \sigma)ds = O was obtained between the curvatures of curves of constant breadth in E^4 . Key words and phrases: Curvature, Constant Breadth, Integral characterization of Curve, Spherical Curves.


On One Sided (\Sigma, \Tau)-Lie Ideals In Prime Rings, Neşet Aydin Jan 1997

On One Sided (\Sigma, \Tau)-Lie Ideals In Prime Rings, Neşet Aydin

Turkish Journal of Mathematics

In this paper, we proved some results for one-sided (\sigma, \tau)-Lie ideals in prime rings.


Some Commutativity Properties For Rings With Unity, Hamza A.S. Abujabal Jan 1997

Some Commutativity Properties For Rings With Unity, Hamza A.S. Abujabal

Turkish Journal of Mathematics

In this paper, we prove the commutativity of a ring R with unity satisfying one of the following ring properties: (P_1) For each x, y in R, {1- h(yx^r)}[x,yx^r - f(yx^r)]{1-g(yx^r)}=0 for some (P_2) Given x, y in R, {1- h(yx^r)} [x,yx^r - f(x^ry)] {1-g(yx^r)}=0 and {1-~h(xy^r)}[y,y^rx-~f(xy^r)]{1-~g(xy^r)}=0 for some f(X),~f(X)\epsilonX^2Z[X] and g(X), ~g(X), h(X), ~h(X)\epsilonXZ[X]. (P_3) For each x, y \epsilon R, [x, yx^r - x^sf(y)x^t]=0 for some f(X)\epsilon X^2Z[X].


On Existence Of A Meromorphic Function With Infinitely Many Of Deficient Functions, Halil Ardahan Jan 1997

On Existence Of A Meromorphic Function With Infinitely Many Of Deficient Functions, Halil Ardahan

Turkish Journal of Mathematics

Let {a_n(z) : {a_n(z)}_n^w, 0 do not depend on r,0


Polymer Light Emitting Diodes, Frank E. Karasz, Bin Hu, Zhou Yang Jan 1997

Polymer Light Emitting Diodes, Frank E. Karasz, Bin Hu, Zhou Yang

Turkish Journal of Chemistry

Polyphenylene vinylene-based conjugated-nonconjugated alternating block copolymers form the active chromophores in a series of light emitting diodes (LEDs). The quantum efficiency and brightness of these devices can be improved by several orders of magnitude by incorporation of appropriate carrier transport layers and by rational choice of electrodes. Further improvements can be gained by blending of the active chromophores with high or low molecular weight species.


General Character Of Electrochaemically Adsorbed Cobalt On Smooth Platinum In Solutions Of Various Ph, Gülcemal Yildiz, Sadiq Kuluyev, Figen Kadirgan Jan 1997

General Character Of Electrochaemically Adsorbed Cobalt On Smooth Platinum In Solutions Of Various Ph, Gülcemal Yildiz, Sadiq Kuluyev, Figen Kadirgan

Turkish Journal of Chemistry

The adsorption of cobalt adatoms on to a smooth platinum electrode at different potentials was studied by voltammetric methods. The amount of cobalt coverage was determined from the hydrogen region of the platinum electrode. The number of electrons per adatom species was calculated. The experiments were carried out in the pH interval between 0-3 in H_{2}SO_{4}-containing solutions.


Complexes Of Zn(Ii), Pd(Ii), Hg(Ii), Pb(Ii), Cu(I), Ag(I) And Tl(I) With 4-Amino-5-Mercapto-3-(O-Tolyloxymethyl)-1,2,4-Triazole, B. Narayana, M. R. Gajendragad Jan 1997

Complexes Of Zn(Ii), Pd(Ii), Hg(Ii), Pb(Ii), Cu(I), Ag(I) And Tl(I) With 4-Amino-5-Mercapto-3-(O-Tolyloxymethyl)-1,2,4-Triazole, B. Narayana, M. R. Gajendragad

Turkish Journal of Chemistry

The synthesis and characterization of complexes of Zn(II), Pd(II), Cd(II), Hg(II), Pb(II), Cu(I), Ag(I), and Tl(I) with 4-amino-5-mercapto-3-(o- tolyloxymethyl)-1,2,4-triazole are described. Based on analytical results, electronic and infrared spectral data and magnetic susceptibility measurements suitable structures have been proposed.