Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- 53C42. (1)
- Associates (1)
- Continuous convolution semigroup (1)
- Critical point theory (1)
- D. Kendall's Delphic semigroup (1)
-
- Differential-Operator Equations (1)
- Flat normal bundles. M.R. Number. 53C40 (1)
- Focal points (1)
- Focal sets (1)
- Generating functional (1)
- Global asymptotic stabilty (1)
- Hilbert-Lie group (1)
- Hyperbolic equations (1)
- IIecke groups (1)
- Ievel (1)
- Indecomposable (1)
- Infinitely divisible (1)
- Infinitesimal generator (1)
- Initial boundary value problems (1)
- Irreducibility (1)
- Legendre functions. (1)
- Lévy measure (1)
- Meromorphic (1)
- Operator semigroup (1)
- Parabolic class number (1)
- Reflecting and delaying screens. (1)
- Semi-Markovian random walk (1)
- Stability (1)
- Starlike. (1)
- Totally reducible focal sets (1)
Articles 1 - 30 of 62
Full-Text Articles in Physical Sciences and Mathematics
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.
On The Curves Of Constant Breadth In E^4 Space, Abdullah Mağden, Ömer Köse
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.
Unique Factorisation For Commutative Rings Without Identity, A. G. Ağargün, C.R. Fletcher
Unique Factorisation For Commutative Rings Without Identity, A. G. Ağargün, C.R. Fletcher
Turkish Journal of Mathematics
This paper concerns the unique factorisation property in commutative rings not necessarily with identity. We give a new definition of irreducibility and associates in a commutative ring with 1 (crwl), and define a UFR R in terms of a monomorphism from R into a crwl. This becomes equivalent to the definition in [3] when R has an identity. We generalize results on direct sums and direct summands. By our definition we have new members of the family of UFR's.
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 …
Some New Sequence Spaces Defined By A Sequence Of Moduli, Ayhan Esi̇
Some New Sequence Spaces Defined By A Sequence Of Moduli, Ayhan Esi̇
Turkish Journal of Mathematics
In this paper we introduce and exaamine some properties of three sequence spaces defined by using a sequence of moduli.
A Note On Finite Hyperbolic Planes Obtained From Projektive Planes, Ş. Olgun, İ. Özgür, İ. Günaltili
A Note On Finite Hyperbolic Planes Obtained From Projektive Planes, Ş. Olgun, İ. Özgür, İ. Günaltili
Turkish Journal of Mathematics
Let \Pi be a finite projective plane of order n and \cal be a set, \cal = m, of any lines of \Pi which contains three non-concurrent lines. Consider the hyperbolic plane \Pi_m obtained from \Pi by removing all lines (including all points on them) of \cal. In this paper, we obtain larger values than the known maximum value of m and determine the linne classes of some hyperbolic planes of type \Pi_m. Furthermore we give an answer to a question in Bumcrot [1] about hyperbolic planes containing two-point liens.
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.
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).
On The Stability Results For Third Order Differential-Operator Equations, Varga Kalantarov, Aydın Ti̇ryaki̇
On The Stability Results For Third Order Differential-Operator Equations, Varga Kalantarov, Aydın Ti̇ryaki̇
Turkish Journal of Mathematics
Sufficient conditions for the stability and the global asymptotic stability of the zero solution of third order linear differential- operator equations are established.
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.
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.
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:
Augmented Graded Rings, Mashhoor Refai
Augmented Graded Rings, Mashhoor Refai
Turkish Journal of Mathematics
In this paper we study the augmented graded rings and give the ralationship between these rings and stronger properties of graded rings.
On A Certain Family Of Linear Positive Operators, Ogün Doğru
On A Certain Family Of Linear Positive Operators, Ogün Doğru
Turkish Journal of Mathematics
In this study, a family of linear positive operators, which includes the sequence of linear positive operators built in a paper of A. D. Gadjiev and I. I. Ibragimov and later investigated by B. Wood and P. Radatz, is defined and using the some inequalities proved by P. J. Davis, results related to approximation properties of this family are obtained.
Some Commutativity Properties For Rings With Unity, Hamza A.S. Abujabal
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].
A Characterization Of ^-Nc P-Groups, Ali Osman Asar
A Characterization Of ^-Nc P-Groups, Ali Osman Asar
Turkish Journal of Mathematics
In this work, presented is a partial characterization of a perfect locally nilpotent p-group in which every proper subgroup is nilpotent-by-Chernikov.
Locally Nilpotent P-Groups Whose Proper Subgroups Are Nc-Groups, A.O. Asar, A. Yalincaklioğlu
Locally Nilpotent P-Groups Whose Proper Subgroups Are Nc-Groups, A.O. Asar, A. Yalincaklioğlu
Turkish Journal of Mathematics
Let G be a locally nilpotent p-group in which every proper subgroup is an NC-group. It is shown that G is itself an NC-group if either (i) the normal closure of every finite subgroup of G is a Chernikov extension of a CC-group or (ii) every proper normal subgroup of G is the union of an ascending chain of normal CCsubgroups.
On Some Bounds For The Solutions Of The Semi-Discretized Time-Dependent Ginzburg-Landau Equations, Erhan Coşkun
On Some Bounds For The Solutions Of The Semi-Discretized Time-Dependent Ginzburg-Landau Equations, Erhan Coşkun
Turkish Journal of Mathematics
We study the two-dimensional system of Time-Dependent Ginzburg-Landau Equations (TDGL) for modeling a thin film of superconductor subject to a uniform magnetic field. We discretize the TDGL for the space variables using bond variables and staggered grid partitioning technique. By investigating the temporal evolution of semi-discrete Helmholtz enery functional and that of Semi-discretized TDGL, we provide bounds for some observable physical quantities of interest such as superelectron density, supercurrent density, charge density, electric field, and induced magnetic field.
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 …
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.
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 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.
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 …
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 ).
Exotic Structures And Adjunction Inequality, Selman Akbulut, Rostislav Matveyev
Exotic Structures And Adjunction Inequality, Selman Akbulut, Rostislav Matveyev
Turkish Journal of Mathematics
No abstract provided.
Algorithms To Disprove The Poincare Conjecture, Colin Rourke
Algorithms To Disprove The Poincare Conjecture, Colin Rourke
Turkish Journal of Mathematics
No abstract provided.
A (--86)-Sphere In The K3 Surface, Sergey Finashin, Grigory Mikhalkin
A (--86)-Sphere In The K3 Surface, Sergey Finashin, Grigory Mikhalkin
Turkish Journal of Mathematics
Consider the self-intersection number [\Sigma].[\Sigma] of a 2-dimensional sphere \Sigma embedded into a K3 surface. Since a K3 surface is spin, [\Sigma].[\Sigma] is even and by Gauge theoretical arguments [\Sigma].[\Sigma]\le 0. No other restriction on [\Sigma].[\Sigma] is known. It is a problem 4.105(D) from the Kirby list \cite{K} to determine the possible values of [\Sigma].[\Sigma]. This paper shows that the even numbers between 0 and -86 do appear as [\Sigma].[\Sigma].
The Hardy -Littlewood-Sobolev Inequality For Non-Isotropic Riesz Potentials, İnan Çinar
The Hardy -Littlewood-Sobolev Inequality For Non-Isotropic Riesz Potentials, İnan Çinar
Turkish Journal of Mathematics
In this study the inequality of Hardy-Littlewood-Sobolev type are established for non-isotropic generalized Riesz potential depending on \lambda -distance. In this paper we establish analogues of the well known Hardy-Littlewood-Sobolev inequality (see[3]) for Riesz potentials with non-isotropic kernel depended on \lambda distance. Note that different problems for convolution type integrals with kernels, depending on \lambda-distance were considered in [1] and [2].
The Spectra And Fine Spectra For P-Cesáro Operators, Cafer Coşkun
The Spectra And Fine Spectra For P-Cesáro Operators, Cafer Coşkun
Turkish Journal of Mathematics
In [6], Rhaly computed the spectrum of p-Cesaro operator on the Hilbert space l_2 = {x = (x_k): \Sigma_k IX_kl^2 < infinite}. In the present paper, we study the spectrum and fine spectrum for p-Cesáro operators acting on C_o, the space of null sequences.