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2003

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Articles 3301 - 3330 of 3876

Full-Text Articles in Physical Sciences and Mathematics

Galois Symmetry On Floer Cohomology, Kenji Fukaya Jan 2003

Galois Symmetry On Floer Cohomology, Kenji Fukaya

Turkish Journal of Mathematics

In this article, we define an action of \hat{\Bbb Z} on the A_{\infty} category whose objects are rational Lagrangian submanifolds together with some other data. The group \hat{\Bbb Z} is a Galois group of the (universal) Novikov ring (field) over Laurent polynomial field. By mirror symmetry it will corresponds to the algebraic fundamental group of a punctured disk which parametrize the maximal degenerate family of the mirror complex manifold.

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Adjunction Inequality And Coverings Of Stein Surfaces, Stefan Nemirovski Jan 2003

Adjunction Inequality And Coverings Of Stein Surfaces, Stefan Nemirovski

Turkish Journal of Mathematics

A stronger form of the adjunction inequality is proved for immersed real surfaces in non simply-connected Stein surfaces. The result is applied to the geometry of Stein domains and analytic continuation on complex surfaces.

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Polyhedral Approximations Of Riemannian Manifolds, Anton Petrunin Jan 2003

Polyhedral Approximations Of Riemannian Manifolds, Anton Petrunin

Turkish Journal of Mathematics

I'm trying to understand which Riemannian manifolds can be Lipschitz approximated by polyhedral spaces of the same dimension with curvature bounded below. The necessary conditions I found consist of some special inequality for curvature at each point (the geometric curvature bound). This inequality is also sufficient condition for local approximation. I conjecture that it is also a sufficient condition for global approximation, and I can prove it if the curvature bound is positive. In general I can prove it only with the additional assumption that tangent bundle of the manifold is stably trivial.

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Comparing Open Book And Heegaard Decompositions Of 3-Manifolds, J. Hyam Rubinstein Jan 2003

Comparing Open Book And Heegaard Decompositions Of 3-Manifolds, J. Hyam Rubinstein

Turkish Journal of Mathematics

We study the maximal value of the Euler characteristic of the pages of all open book decompositions of closed orientable 3-manifolds. In particular, we describe some examples where the minimal genus Heegaard splittings of such 3-manifolds give rise to open book decompositions and other examples where the simplest open book decomposition has larger maximal Euler characteristic of pages than the smallest genus Heegaard splittings. Also, special properties of the Heegaard splitting associated to an open book decomposition are given. Techniques of minimal surface theory and hyperbolic geometry are shown to be useful for such problems.

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Abelian Fibred Holomorphic Symplectic Manifolds, Justin Sawon Jan 2003

Abelian Fibred Holomorphic Symplectic Manifolds, Justin Sawon

Turkish Journal of Mathematics

We study holomorphic symplectic manifolds which are fibred by abelian varieties. This structure is a higher dimensional analogue of an elliptic fibration on a K3 surface. We investigate when a holomorphic symplectic manifold is fibred in this way, and are led to several natural conjectures. We then study the geometry of these fibrations. The expectation is that this point of view will prove useful in understanding holomorphic symplectic manifolds, and possibly lead to a classification.

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Symplectic Surgeries From Singularities, Ivan Smith, Richard Thomas Jan 2003

Symplectic Surgeries From Singularities, Ivan Smith, Richard Thomas

Turkish Journal of Mathematics

We describe a variety of symplectic surgeries (not a priori compatible with Kaehler structures) which are obtained by combining local Kaehler degenerations and resolutions of singularities. The effect of the surgeries is to replace configurations of Lagrangian spheres with symplectic submanifolds. We discuss several examples in detail, relating them to existence questions for symplectic manifolds with c_1 > 0, c_1 = 0, c_1 < 0 in four and six dimensions.

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Some Asymptotic Results For The Semi-Markovian Random Walk With A Special Barrier, Tahi̇r Khani̇yev Jan 2003

Some Asymptotic Results For The Semi-Markovian Random Walk With A Special Barrier, Tahi̇r Khani̇yev

Turkish Journal of Mathematics

In this study, the semi-Markovian random walk with a special barrier (X(t)) is considered and under some weak assumptions the ergodicity of this process is discussed. Moreover, the characteristic function of ergodic distribution of X(t) is given by using a joint distribution of random variables N and Y_{N} and some exact formulas for the first and second moments of ergodic distribution of the process X(t) are obtained. Based on these results, the asymptotic behaviours of expectation and variance of this process are investigated as S-s \to \infty . It is finally proved that the ergodic distribution of the process is …

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Boundary Points Of Self-Affine Sets In R, İbrahi̇m Kirat Jan 2003

Boundary Points Of Self-Affine Sets In R, İbrahi̇m Kirat

Turkish Journal of Mathematics

Let A be an n \times n expanding matrix with integer entries and D = \{0, d_1, ... , d_{N-1} \} \subseteq {\Bbb{Z}}^n be a set of N distinct vectors, called an N-digit set. The unique non-empty compact set T = T(A,D) satisfying AT = T + D is called a self-affine set. If T has positive Lebesgue measure, it is called a self-affine region. In general, it is not clear how to determine a point to be on the boundary of a self-affine region. In this note, we consider one-dimensional self-affine regions T and present a simple approach to …

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On Lightlike Hypersurfaces Of A Semi-Riemannian Space Form, Rifat Güneş, Bayram Şahi̇n, Erol Kiliç Jan 2003

On Lightlike Hypersurfaces Of A Semi-Riemannian Space Form, Rifat Güneş, Bayram Şahi̇n, Erol Kiliç

Turkish Journal of Mathematics

In this paper, we study a Lightlike hypersurface of a semi-Riemann manifold. We show that a lightlike hypersurface is totally geodesic if and only if it is locally symmetric. Also, we show that a lightlike Hypersurface of IR_{4q}^{4m}(m,q > 1) is totally geodesic under some restrictions. Finally, we give some results on Ricci curvature of a lightlike hypersurface to be symmetric.

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On Pseudohyperbolical Curves In Minkowski Space-Time, Çeti̇n Camci, Kazim İlarslan, Emilija Sucurovic Jan 2003

On Pseudohyperbolical Curves In Minkowski Space-Time, Çeti̇n Camci, Kazim İlarslan, Emilija Sucurovic

Turkish Journal of Mathematics

In this paper, we characterize all spacelike, timelike and null curves lying on the pseudohyperbolic space H_0^3 in the Minkowski space--time E_1^4. Moreover, we prove that there are no timelike and no null curves lying on the pseudohyperbolic space H_0^3 in Minkowski space--time E_1^4.

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On Prime Submodules Of Finitely Generated Free Modules, Di̇lek Pusat Yilmaz Jan 2003

On Prime Submodules Of Finitely Generated Free Modules, Di̇lek Pusat Yilmaz

Turkish Journal of Mathematics

The aim of this work is to investigate prime submodules of finitely generated free modules over commutative domains in some special cases.

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Groups Whose Proper Subgroups Are Hypercentral Of Length At Most \Leq \Omega, Selami̇ Ercan Jan 2003

Groups Whose Proper Subgroups Are Hypercentral Of Length At Most \Leq \Omega, Selami̇ Ercan

Turkish Journal of Mathematics

Groups, all proper subgroups of which are hypercentral of length at most \omega and every proper subgroup of which is a B_{n}-group for a natural number n depending on the subgroup, are studied in this article.

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Automorphism Groups Of (M-1)-Surfaces With The M-Property, Adnan Melekoğlu Jan 2003

Automorphism Groups Of (M-1)-Surfaces With The M-Property, Adnan Melekoğlu

Turkish Journal of Mathematics

A compact Riemann surface X of genus g is called an (M-1)-surface if it admits an anticonformal involution that fixes g simple closed curves, the second maximum number by Harnack's theorem. If X also admits an automorphism of order g which cyclically permutes these g curves, then we shall call X an (M-1)-surface with the M-property. In this paper we investigate the automorphism groups of (M-1)-surfaces with the M-property.

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Fuzzy Ideals In Gamma-Rings, Mehmet Ali̇ Öztürk, Mustafa Uçkun, Young Bae Jun Jan 2003

Fuzzy Ideals In Gamma-Rings, Mehmet Ali̇ Öztürk, Mustafa Uçkun, Young Bae Jun

Turkish Journal of Mathematics

The converse of [7, Theorem 3.3] is provided. For an Artinian \Gamma-ring, a few results are investigated.

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On The Weak-Integrity Of Trees, Alpay Kirlangiç Jan 2003

On The Weak-Integrity Of Trees, Alpay Kirlangiç

Turkish Journal of Mathematics

In this paper the concept of {\em weak-integrity} is introduced as a new measure of the stability of a graph \( G \) and it is defined as I_{w}(G)={\min_{S\subset V(G)}\{ S +m_{e}(G-S)\}}, where m_{e}(G-S) denotes the number of edges of a largest component of G-S. We investigate the weak-integrity of trees and compute the weak-integrity of a binomial tree and all the trees with at most 7 vertices. We also give some results about the weak-integrity of graphs obtained from binary operations.

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On Invariant Submanifolds Of Riemannian Warped Product Manifold, Mehmet Atçeken, Bayram Şahi̇n, Erol Kiliç Jan 2003

On Invariant Submanifolds Of Riemannian Warped Product Manifold, Mehmet Atçeken, Bayram Şahi̇n, Erol Kiliç

Turkish Journal of Mathematics

In this paper, we generalize the geometry of the invariant submanifolds of Riemannian product manifold to the geometry of the invariant submanifolds of Riemannian warped product manifold. We investigate some properties of an invariant submanifolds of a Riemannian warped product manifold. We show that every invariant submanifold of the Riemannian warped product manifold is a Riemannian warped product manifold. Also, we give a theorem on the pseudo-umbilical invariant submanifold. Further, we obtain that integral manifolds on an invariant submanifold are curvature-invariant submanifolds. Finally, we give a necessary condititon on a totally umbilical invariant submanifold to be totally geodesic.

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Uniqueness Of Primary Decompositions, Patrick F. Smith Jan 2003

Uniqueness Of Primary Decompositions, Patrick F. Smith

Turkish Journal of Mathematics

Uniqueness properties of primary decompositions in modules over non-commutative rings are presented.

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On Intuitionistic Fuzzy Subhypernear-Rings Of Hypernear-Rings, Kyung Ho Kim Jan 2003

On Intuitionistic Fuzzy Subhypernear-Rings Of Hypernear-Rings, Kyung Ho Kim

Turkish Journal of Mathematics

In this paper, we introduce the concept of an intuitionistic fuzzy subhypernear-ring of a hypernear-ring and obtain some results in this connection.

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Professor Masatoshi Gündüz Ikeda: A Life Devoted To Mathematics, Cemal Koç Jan 2003

Professor Masatoshi Gündüz Ikeda: A Life Devoted To Mathematics, Cemal Koç

Turkish Journal of Mathematics

No abstract provided.

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On The Extended Hecke Groups \Overline{H}(\Lambda _Q), Ni̇hal Yilmaz Özgür, Recep Şahi̇n Jan 2003

On The Extended Hecke Groups \Overline{H}(\Lambda _Q), Ni̇hal Yilmaz Özgür, Recep Şahi̇n

Turkish Journal of Mathematics

Hecke groups H(\lambda _q) have been studied extensively for many aspects in the literature, [5], [8]. The Hecke group H(\lambda_3), the modular group PSL(2, \Bbb{Z} ) , has especially been of great interest in many fields of mathematics, for example number theory, automorphic function theory and group theory. In this paper we consider the extended Hecke groups \overline{H}(\lambda _q) which are defined analogously with the extended modular group. We find the conjugacy classes of torsion elements in \overline{H}(\lambda _q). Using this we give some results about the normal subgroups and Fuchsian subgroups of \overline{H}(\lambda _q).

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On Positive Solutions Of Boundary Value Problems For Nonlinear Second Order Difference Equations, Nüket Aykut, Gusein Sh. Guseinov Jan 2003

On Positive Solutions Of Boundary Value Problems For Nonlinear Second Order Difference Equations, Nüket Aykut, Gusein Sh. Guseinov

Turkish Journal of Mathematics

In this paper we study nonlinear second order difference equations subject to separated linear boundary conditions. Sign properties of the associated Green's functions are investigated and existence results for positive solutions of the nonlinear boundary value problem are established. Upper and lower bounds for these positive solutions also are given.

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On General Fibonacci Sequences In Groups, Engi̇n Özkan Jan 2003

On General Fibonacci Sequences In Groups, Engi̇n Özkan

Turkish Journal of Mathematics

In this paper, we have constituted 3-step general Fibonacci sequences in a nilpotent group with exponent p (p is a prime number) and nilpotency class 4 and given formulas to find the \alpha term of the sequence.

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Rough Oscillatory Singular Integral Operators-Ii, Ahmad Al-Salman, Ali A. Al-Jarrah Jan 2003

Rough Oscillatory Singular Integral Operators-Ii, Ahmad Al-Salman, Ali A. Al-Jarrah

Turkish Journal of Mathematics

In this paper, we study certain classes of oscillatory singular integral operators with kernels in Llog L(S^{n-1}) which is known to be the most desirable size condition for the L^{p} boundedness to hold. We prove that such operators are bounded on L^{p}. Our results extend and improve previously known results. Variations of our approach in this paper can be applied to handle more general oscillatory singular integral operators. This concludes by indicating a variety of results that can be obtained.

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A Reinterpretation Of The Small Captorhinid Reptile Captorhinikos Parvus Olson As A New Genus, Reanalysis Of Its Cranial Anatomy, And A Phylogenetic Analysis Of The Basal Reptilian Family Captorhinidae, Gavan Mcbride Albright Jan 2003

A Reinterpretation Of The Small Captorhinid Reptile Captorhinikos Parvus Olson As A New Genus, Reanalysis Of Its Cranial Anatomy, And A Phylogenetic Analysis Of The Basal Reptilian Family Captorhinidae, Gavan Mcbride Albright

Theses Digitization Project

The cranial anatomy of the basal captorhinid reptile Captorhinikos parvus (Reptilia, Captorhinidae), is reinterpreted here based on analysis of a group of new specimens recovered subsequent to its original diagnosis as well as further analysis of the original specimens utilized in E.C. Olson's original characterization of the species. Structural features inconsistent with the generic description suggest the redefinition of C. parvus as a new genus, Rhodotheratus parvus. Analyses of basal members and selected derived members support the characterization of Rhodotheratus as a distinct taxon.

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Unified Modeling Language Class Diagram Translator For The Online Design Pattern Library System, Kaiyan Li Jan 2003

Unified Modeling Language Class Diagram Translator For The Online Design Pattern Library System, Kaiyan Li

Theses Digitization Project

The Unified Modeling Language (UML) is the successor to the wave of object-oriented analysis and design (OOA&D) methods that appeared in the late '80s and early '90s. The class diagram is one of the most useful diagrams in UML. The class diagram technique has become truly central within object-oriented methods.

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International Extension Programs Information System, Yu-Pin Chang Jan 2003

International Extension Programs Information System, Yu-Pin Chang

Theses Digitization Project

No abstract provided.

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Website Developer: Web Application, Venkata Krishna Reddy Tummeti Jan 2003

Website Developer: Web Application, Venkata Krishna Reddy Tummeti

Theses Digitization Project

The purpose of the project is to use Java Server Page (JSP) technology to create a web application that could be used by any person who has the basic knowledge of browsing through the Web. There are many programs on the market that aid users in creating web pages, but the process involved in creating web pages using the available software and hosting their website is fairly complex for general people.

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Hybrid Data Mining Technique For Application In Geo-Chemical Data Analysis, Shipra Dutta Jan 2003

Hybrid Data Mining Technique For Application In Geo-Chemical Data Analysis, Shipra Dutta

Masters Theses

"Data mining is a very active research area, which has gained a lot of attention over the past few years for its applications in various fields ranging from stock forecasting to detecting damages in the structures like aircrafts. The use of data mining for applications in science and business has evoked a lot of interest in the researchers to explore the area further. In this research, a novel hybrid clustering architecture will be presented as a possible solution to classify the geo-chemical data obtained by conducting various direct and indirect tests on different sites. The fact that no single learning …

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Dorchester County, Maryland Shoreline Situation Report Methods And Guidelines, Alayde Barbosa, Marcia Berman, Harry Berquist, Sharon Dewing, Carl Hershner, Helen Rea, Tamia Rudnicky, Daniel E. Schatt, David Weiss, Helen Woods Jan 2003

Dorchester County, Maryland Shoreline Situation Report Methods And Guidelines, Alayde Barbosa, Marcia Berman, Harry Berquist, Sharon Dewing, Carl Hershner, Helen Rea, Tamia Rudnicky, Daniel E. Schatt, David Weiss, Helen Woods

Reports

No abstract provided.

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A World Class Ecdis Laboratory, Darrell H. Smith, Lee Alexander Jan 2003

A World Class Ecdis Laboratory, Darrell H. Smith, Lee Alexander

Center for Coastal and Ocean Mapping

No abstract provided.

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