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2012

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On Normality Of Meromorphic Functions With Multiple Zeros And Sharing Values, Youming Wang Jan 2012

On Normality Of Meromorphic Functions With Multiple Zeros And Sharing Values, Youming Wang

Turkish Journal of Mathematics

In this paper we study the problem of normal families of meromorphic functions concerning shared values. Let F be a family of meromorphic functions in the plane domain D \subseteq C and n be a positive integer. Let a, b be two finite complex constants such that a \neq 0. If n \geq 3 and f + a(f')^n and g + a(g')^n share b in D for every pair of functions f, g \in F, then F is normal in D. And some examples are provided to show the result is sharp.


Invariant Subspaces Of Weakly Compact-Friendly Operators, Mert Çağlar, Remzi̇ Tunç Misirlioğlu Jan 2012

Invariant Subspaces Of Weakly Compact-Friendly Operators, Mert Çağlar, Remzi̇ Tunç Misirlioğlu

Turkish Journal of Mathematics

We prove that if a non-zero weakly compact-friendly operator B on a Banach lattice with topologically full center is locally quasi-nilpotent, then the super right-commutant [B\rangle of B has a non-trivial closed invariant ideal. An example of a weakly compact-friendly operator which is not compact-friendly is also provided.


Extended Cross Product In A 3-Dimensional Almost Contact Metric Manifold With Applications To Curve Theory, Çeti̇n Camci Jan 2012

Extended Cross Product In A 3-Dimensional Almost Contact Metric Manifold With Applications To Curve Theory, Çeti̇n Camci

Turkish Journal of Mathematics

In this work, we define a new cross product in 3-dimensional almost contact metric manifold and we study the theory of curves using this new cross product in this manifold. Besides, in the works of Baikousis, Blair [1] and Cho et al. [4], we observe that some theorems are incomplete and excessively generalized are thus their alternative proofs presented.


Invariants Of Symmetric Algebras Associated To Graphs, Maurizio Imbesi, Monica La Barbiera Jan 2012

Invariants Of Symmetric Algebras Associated To Graphs, Maurizio Imbesi, Monica La Barbiera

Turkish Journal of Mathematics

In this work we deal with the symmetric algebra of monomial ideals that arise from graphs, the edge ideals. The notion of s-sequence is explored for such ideals in order to compute standard algebraic invariants of their symmetric algebra in terms of the corresponding invariants of special quotients of the polynomial ring related to the graphs.


Value Distribution Of Meromorphic Functions And Their Differences, Ranran Zhang, Zongxuan Chen Jan 2012

Value Distribution Of Meromorphic Functions And Their Differences, Ranran Zhang, Zongxuan Chen

Turkish Journal of Mathematics

Let f(z) be a transcendental meromorphic function. Results are proved concerning the value distribution of the n'th forward difference \Delta^nf(z), in terms of Borel exceptional values of f(z). The results may be partly viewed as discrete analogues of a classical theorem of Hayman dealing with the possible relationships between Picard exceptional values of f(z) and its derivatives.


Cover And Contents Jan 2012

Cover And Contents

Turkish Journal of Mathematics

No abstract provided.


On F_S-Supplemented Primary Subgroups Of Finite Groups, Lujin Zhu, Long Miao Jan 2012

On F_S-Supplemented Primary Subgroups Of Finite Groups, Lujin Zhu, Long Miao

Turkish Journal of Mathematics

Let G be a finite group and F a formation of finite groups. A subgroup H of G is called F_s-supplemented in G if there exists a subnormal subgroup T of G such that G = HT and (H \cap T)H_G/H_G is contained in the F-hypercenter Z^F_{\infty}(G/H_G) of G/H_G. In this paper, we study the structure of finite groups by using F_s-supplemented subgroups.


On The Order Of Weighted Approximation By Positive Linear Operators, Tüli̇n Coşkun Jan 2012

On The Order Of Weighted Approximation By Positive Linear Operators, Tüli̇n Coşkun

Turkish Journal of Mathematics

An estimation of approximation of continuous functions by positive linear operators in weighted norm using the weighted modulus of continuity is established. Application of the main result to the known Gadjiyev-Ibragimov operators is given.


C^*-Convexity And C^*-Faces In *-Rings, Ali Ebrahimi Meymand, Gholam Hossein Esslamzadeh Jan 2012

C^*-Convexity And C^*-Faces In *-Rings, Ali Ebrahimi Meymand, Gholam Hossein Esslamzadeh

Turkish Journal of Mathematics

Existence of rich algebraic, geometric and topological structures on self-adjoint operator algebras raises the general question that, for a particular theorem which of these structures have made the result work. The present paper is an effort toward the answer of this question, by investigating the role of algebraic structure in the subject of C^*-convexity. In this paper, we extend the notions of C^*-convexity, C^*-extreme point and C^*-face to *-rings and we study some of their properties. We introduce the notion of C^*-convex map on C^*-convex subsets of a *-ring. Moreover we identify optimal points of some unital *-homomorphisms on some …


Invariant Parametrizations And Complete Systems Of Global Invariants Of Curves In The Pseudo-Euclidean Geometry, Ömer Pekşen, Djavvat Khadjiev, İdri̇s Ören Jan 2012

Invariant Parametrizations And Complete Systems Of Global Invariants Of Curves In The Pseudo-Euclidean Geometry, Ömer Pekşen, Djavvat Khadjiev, İdri̇s Ören

Turkish Journal of Mathematics

Let M(n, p) be the group of all transformations of an n-dimensional pseudo-Euclidean space E^n_p of index p generated by all pseudo-orthogonal transformations and parallel translations of E^n_p. Definitions of a pseudo-Euclidean type of a curve, an invariant parametrization of a curve and an M(n, p)-equivalence of curves are introduced. All possible invariant parametrizations of a curve with a fixed pseudo-Euclidean type are described. The problem of the M(n, p)-equivalence of curves is reduced to that of paths. Global conditions of the M(n, p)-equivalence of curves are given in terms of the pseudo-Euclidean type of a curve and the system …


Small Covers Over Products Of A Polygon With A Simplex, Yanying Wang, Yanchang Chen Jan 2012

Small Covers Over Products Of A Polygon With A Simplex, Yanying Wang, Yanchang Chen

Turkish Journal of Mathematics

The equivariant homeomorphism class of an (orientable) small cover over a simple convex polytope P^n bijectively corresponds to the equivalence class of its (orientable) coloring under the action of automorphism group of face poset of P^n. By calculating the number of orbits of group actions we determine the number of equivariant homeomorphism classes of small covers over products of a polygon with a simplex. Moreover, we calculate the number of equivariant homeomorphism classes of all orientable small covers over the product.


Hilbert Functions And Betti Numbers Of Reverse Lexicographic Ideals In The Exterior Algebra, Marilena Crupi, Carmela Ferro' Jan 2012

Hilbert Functions And Betti Numbers Of Reverse Lexicographic Ideals In The Exterior Algebra, Marilena Crupi, Carmela Ferro'

Turkish Journal of Mathematics

Let K be a field, V a K-vector space with basis e_1,...,e_n and let E be the exterior algebra of V. We study the class of reverse lexicographic ideals in E. We analyze the behaviour of their Hilbert functions and Betti numbers.


L^P Regularity Of Some Weighted Bergman Projections On The Unit Disc, Yunus Ergi̇n Zeytuncu Jan 2012

L^P Regularity Of Some Weighted Bergman Projections On The Unit Disc, Yunus Ergi̇n Zeytuncu

Turkish Journal of Mathematics

We show that weighted Bergman projections, corresponding to weights of the form M(z)(1- z ^2)^\alpha, where \alpha > -1 and M(z) is a radially symmetric, strictly positive and at least C^2 function on \overline{D}, are L^p regular.


Superinjective Simplicial Maps Of The Complexes Of Curves On Nonorientable Surfaces, Elmas Irmak Jan 2012

Superinjective Simplicial Maps Of The Complexes Of Curves On Nonorientable Surfaces, Elmas Irmak

Turkish Journal of Mathematics

We prove that each superinjective simplicial map of the complex of curves of a compact, connected, nonorientable surface is induced by a homeomorphism of the surface, if (g, n) \in {(1, 0), (1, 1), (2, 0), (2, 1), (3, 0)} or g + n \geq 5, where g is the genus of the surface and n is the number of the boundary components.


On The Biharmonic Vector Fields, Mustapha Djaa, Hichem Elhendi, Seddik Ouakkas Jan 2012

On The Biharmonic Vector Fields, Mustapha Djaa, Hichem Elhendi, Seddik Ouakkas

Turkish Journal of Mathematics

The problem studied in this paper is related to the biharmonicity of a vector field from a Riemannian manifold (M,g) to its tangent bundle TM equipped with the Sasaki metric g^s. We show that a vector field on a compact manifold is biharmonic if and only if is harmonic. We also investigate the biharmonicity of vector field of M, as a map from (M,g) to (TM,g^s).


Generalized Berwald Metrics, Esmaeil Peyghan, Akbar Tayebi Jan 2012

Generalized Berwald Metrics, Esmaeil Peyghan, Akbar Tayebi

Turkish Journal of Mathematics

In this paper, we consider a class of Finsler metrics called generalized Berwald metrics which contains the class of Berwald metrics as a special case. We prove that every generalized Berwald metrics with non-zero scalar flag curvature or isotropic Berwald curvature is a Randers metric. Then we prove that on generalized Berwald metrics, the notions of generalized Landsberg and Landsberg curvatures are equivalent.


Weight And Nonlinearity Of Boolean Functions, Lavinia Corina Ciungu Jan 2012

Weight And Nonlinearity Of Boolean Functions, Lavinia Corina Ciungu

Turkish Journal of Mathematics

In this paper we analyze the weight and the nonlinearity of various types of Boolean functions. We give some general results related to rotation symmetric Boolean functions, and in particular, we prove partially a conjecture stated by Cusick and Stanica in [3].


Results Of Generalized Local Cohomology Modules Of A-Minimax Modules, Hero Saremi Jan 2012

Results Of Generalized Local Cohomology Modules Of A-Minimax Modules, Hero Saremi

Turkish Journal of Mathematics

Let R be a commutative Noetherian ring, M a finitely generated R-module, and N a minimax R-module. It is shown that if a is an ideal of R, such that cd(a)=1, where cd is the cohomological dimension of a in R, then H_a^j(M, N) and Ext_R^i(M,H_a^j(N)) are a-cominimax for all i,j. Furthermore, if t is a non-negative integer such that H_a^j(M, N) is a-minimax for all j


Essential Normality For Certain Weighted Composition Operators On The Hardy Space H^2, Mahsa Fatehi, Bahram Khani Robati Jan 2012

Essential Normality For Certain Weighted Composition Operators On The Hardy Space H^2, Mahsa Fatehi, Bahram Khani Robati

Turkish Journal of Mathematics

We characterize the essentially normal weighted composition operators C_{\psi,\varphi} on the Hardy space H^2, whenever \varphi is a linear-fractional transformation and \psi \in A(D). Also we investigate the essential normality problem for some other weighted composition operators on H^2.


P-Rank And P-Groups In Algebraic Groups, Adrien Deloro Jan 2012

P-Rank And P-Groups In Algebraic Groups, Adrien Deloro

Turkish Journal of Mathematics

A few remarks on the measures of the p-rank of a group equipped with a dimension, including the refutation of a result of Burdges and Cherlin.


Background Factors That Affect Pilot Success In Regional Airline Training, Derek Alan Herchko Jan 2012

Background Factors That Affect Pilot Success In Regional Airline Training, Derek Alan Herchko

Doctoral Dissertations and Master's Theses

Following the Colgan Air accident in February 2009, the U.S. Congress and the traveling public called for increased flight experience requirements for pilots of regional airlines. In response, Congress enacted the Airline Safety and Federal Aviation Administration Act of 2010 . This legislation required that regional airline pilots, inclusive of first officers, have an Airline Transport Pilot certificate and a minimum of 1,500 total flight hours. This legislation had a provision that allowed the Federal Aviation Administration to create credit toward flight hours for pilots who had specific academic training courses above normal pilot certification. The Pilot Source Study was …


Ranging Of Aircraft Using Wide-Baseline Stereopsis, Kevin Todd Rigby Jan 2012

Ranging Of Aircraft Using Wide-Baseline Stereopsis, Kevin Todd Rigby

Doctoral Dissertations and Master's Theses

The purpose of this research was to investigate the efficacy of wide-baseline stereopsis as a method of ranging aircraft, specifically as a possible sense-and-avoid solution in Unmanned Aerial Systems. Two studies were performed: the first was an experimental pilot study to examine the ability of humans to range in-flight aircraft and the second a wide-baseline study of stereopsis to range in-flight aircraft using a baseline 14.32 meters and two 640 x 480 pixel charge coupled device camera. An experimental research design was used in both studies. Humans in the pilot study ranged aircraft with a mean absolute error of 50.34%. …


Who Do I Play: Appraising The Impact Of Teacher-In-Role With Kindergartners In An Esol Classroom, Kathryn Perkins Brantley Jan 2012

Who Do I Play: Appraising The Impact Of Teacher-In-Role With Kindergartners In An Esol Classroom, Kathryn Perkins Brantley

Electronic Theses and Dissertations

Educators employing process drama, a non-presentational dramatic form, establish memorable classroom environments where students co-author their learning with teachers. Process drama facilitators often use the dramatic structure of teacher-in-role to guide and support the students. An instructor heightens tension, introduces new ideas, and encourages participation by engaging alongside students as a character. An educator employing process drama needs to determine the appropriate type of role to impact the development of a classroom drama; while negotiating tension felt between desires for student-led discovery and the necessity of meeting curriculum benchmarks. Academic studies establish process drama as a tool to aid English …


Lunar Calculations, Katherine Venturelli, Special Collections, Fleet Library Jan 2012

Lunar Calculations, Katherine Venturelli, Special Collections, Fleet Library

Artists' Books

3 folded sheets. Publication information from Vamp & Tramp Booksellers website. Variable edition of 5. "Three Turkish map folds. A three-dimensional celestial map intaglio printed on white Lenox print papers. Bound in black linen book cloth over boards. Embossed circle on boards. Cord loop on each board to facilitate hanging"--Vamp & Tramp Booksellers website (accessed November 8, 2016). "Lunar Calculations is a book which opens up into a three-dimensional celestial map. My etched imagery printed on the interiors and exteriors of the pop out pages are lunar phases and mathematical symbols which are archetypal symbols that I have utilized in …


Characterization Of Online Archives Of Astronomical Imaging Vis-A-Vis Serendipitous Asteroids, And Their Astrometric Properties, Jean Marc Denis Jan 2012

Characterization Of Online Archives Of Astronomical Imaging Vis-A-Vis Serendipitous Asteroids, And Their Astrometric Properties, Jean Marc Denis

Electronic Theses and Dissertations

The identification of known asteroids on existing CCD pictures would allow us to obtain accurate astrometric and photometric asteroid properties. Some asteroids might have ambiguous orbital elements, thus their identification along with their exact positions on multiple picture frames could significantly improve their orbital elements. Furthermore, the possibility of identifying known asteroids on older pictures, sometimes preceding their discovery date, might allow the study of non-gravitational effects like the Yarkovsky effect. Identifying a potential Yarkovsky effect on asteroids is challenging because it is extremely weak. However, this effect cumulates with time, therefore, it is necessary to find astronomical pictures that …


2012-2013 Undergraduate Catalog, Morehead State University Jan 2012

2012-2013 Undergraduate Catalog, Morehead State University

Morehead State Catalog Archive

2012-2013 undergraduate catalog for Morehead State University.


Spring-Block Models Of Earthquake Dynamics, Ashley E. Mccall Jan 2012

Spring-Block Models Of Earthquake Dynamics, Ashley E. Mccall

All Graduate Theses, Dissertations, and Other Capstone Projects

In this paper, the dynamics of spring-block models are studied. A brief overview of the history of spring-block models relating to earthquakes is presented, along with the development of friction laws. Several mathematical topics relating to dynamical systems are also discussed. We consider two spring-block models; one with Dieterich-Ruina rate and state dependent friction and another with a modified Dieterich-Ruina style friction. For each system, the qualitative behavior and numerical solutions are presented. In the first case, we find that the system undergoes a Hopf bifurcation from a stationary solution to a periodic orbit, and eventually transitions to chaos. In …


State (Hydrodynamics) Identification In The Lower St. Johns River Using The Ensemble Kalman Filter, Hitoshi Tamura Jan 2012

State (Hydrodynamics) Identification In The Lower St. Johns River Using The Ensemble Kalman Filter, Hitoshi Tamura

Electronic Theses and Dissertations

This thesis presents a method, Ensemble Kalman Filter (EnKF), applied to a highresolution, shallow water equations model (DG ADCIRC-2DDI) of the Lower St. Johns River with observation data at four gauging stations. EnKF, a sequential data assimilation method for non-linear problems, is developed for tidal flow simulation for estimation of state variables, i.e., water levels and depth-integrated currents for overland unstructured finite element meshes. The shallow water equations model is combined with observation data, which provides the basis of the EnKF applications. In this thesis, EnKF is incorporated into DG ADCIRC-2DDI code to estimate the state variables. Upon its development, …


X-Ray Radiation Enabled Cancer Detection And Treatment With Nanoparticles, Mainul Hossain Jan 2012

X-Ray Radiation Enabled Cancer Detection And Treatment With Nanoparticles, Mainul Hossain

Electronic Theses and Dissertations

Despite significant improvements in medical sciences over the last decade, cancer still continues to be a major cause of death in humans throughout the world. Parallel to the efforts of understanding the intricacies of cancer biology, researchers are continuously striving to develop effective cancer detection and treatment strategies. Use of nanotechnology in the modern era opens up a wide range of possibilities for diagnostics, therapies and preventive measures for cancer management. Although, existing strategies of cancer detection and treatment, using nanoparticles, have been proven successful in case of cancer imaging and targeted drug deliveries, they are often limited by poor …


French Language Legislation In The Digital Age: The Use Of Borrowed English Telecommunication Terms And Their Official French Replacements On Twitter And In The American Foreign Language Classroom, Gina Caruso Jan 2012

French Language Legislation In The Digital Age: The Use Of Borrowed English Telecommunication Terms And Their Official French Replacements On Twitter And In The American Foreign Language Classroom, Gina Caruso

All Graduate Theses, Dissertations, and Other Capstone Projects

How effective is language legislation? In the age of digital communication and increased globalization, is it possible to create vocabulary and enforce its use? In an effort to continue to develop and modernize the French language to compete with the influx of English technology terms, the French government creates replacement terms for borrowed relevant technological English vocabulary. To determine the use and result of these French replacement terms in "real-time" communication, the micro-blogging social media website, Twitter, was used as a means of gathering linguistic data from Twitter users within 15 miles of Paris, France. Then, three leading introductory French …