A Reproducing Kernel For A Hilbert Space Related To Harmonic Bergman Space On A Domain Outside Compact Set,
2014
TÜBİTAK
A Reproducing Kernel For A Hilbert Space Related To Harmonic Bergman Space On A Domain Outside Compact Set, Alem Memic
Turkish Journal of Mathematics
In this paper for 1\leq p
Highly Nonconcurrent Longest Paths And Cycles In Lattices,
2014
TÜBİTAK
Highly Nonconcurrent Longest Paths And Cycles In Lattices, Yasir Bashir
Turkish Journal of Mathematics
We investigate here the connected graphs with the property that any pair of vertices are missed by some longest paths (or cycles), embeddable in n-dimensional lattices L^n where L denotes the set of integers.
On Transformations Of Index 1,
2014
TÜBİTAK
On Transformations Of Index 1, Leyla Bugay, Osman Kelekci̇
Turkish Journal of Mathematics
The index and the period of an element a of a finite semigroup are defined as the smallest values of m \geq 1 and r \geq 1 such that a^{m+r}=a^m, respectively. If m=1 then a is called an element of index 1. The aim of this paper is to find some properties of the elements of index 1 in T_n, which we call transformations of index 1.
On Biharmonic Legendre Curves In S-Space Forms,
2014
TÜBİTAK
On Biharmonic Legendre Curves In S-Space Forms, Ci̇han Özgür, Şaban Güvenç
Turkish Journal of Mathematics
We study biharmonic Legendre curves in S-space forms. We find curvature characterizations of these special curves in 4 cases.
Oscillation Of Second Order Differential Equations With Mixed Nonlinearities,
2014
TÜBİTAK
Oscillation Of Second Order Differential Equations With Mixed Nonlinearities, Zhiting Xu, Aijun Cheng
Turkish Journal of Mathematics
By refining the standard integral averaging technique, in this paper, new oscillation criteria as well as interval oscillation criteria are established for the second order delay differential equation with mixed nonlinearities \begin{equation*} (r(t) x^{\prime}(t) ^{\alpha-1}x^{\prime}(t))^{\prime}+q_0(t) x(\tau_0(t)) ^{\alpha-1}x(\tau_0(t)) +\sum\limits_{i = 1}^nq_i(t) x(\tau_i(t)) ^{\alpha_i-1}x(\tau_i(t)) = 0, \end{equation*} where \alpha>0, \alpha_i>0, i = 1,2,\cdots,n. Our results generalize and improve the known results in the literature. Examples are also given to illustrate the importance of our results.
Almost Contact Metric Submersions And Symplectic Manifolds,
2014
TÜBİTAK
Almost Contact Metric Submersions And Symplectic Manifolds, Augustin Batubenge, Tshikunguila Tshikuna-Matamba
Turkish Journal of Mathematics
In this paper, we discuss some geometric properties of almost contact metric submersions involving symplectic manifolds. We show that this is obtained if the total space is an b-almost Kenmotsu manifold.
A Note On Closed G_2-Structures And 3-Manifolds,
2014
TÜBİTAK
A Note On Closed G_2-Structures And 3-Manifolds, Hyunjoo Cho, Sema Salur, Albert Todd
Turkish Journal of Mathematics
This article shows that given any orientable 3-manifold X, the 7-manifold T^*X \times R admits a closed G_2-structure \varphi = Re \Omega-\omega \wedge dt where \Omega is a certain complex-valued 3-form on T^*X; next, given any 2-dimensional submanifold S of X, the conormal bundle N^*S of S is a 3-dimensional submanifold of T^*X \times R such that \varphi _{N^*S}\equiv 0. A corollary of the proof of this result is that N^*S \times R is a 4-dimensional submanifold of T^*X \times R such that \varphi _{N^*S \times R}\equiv 0.
Generalized Higher Commutators Generated By The Multilinear Fractional Integrals And Lipschitz Functions,
2014
TÜBİTAK
Generalized Higher Commutators Generated By The Multilinear Fractional Integrals And Lipschitz Functions, Huixia Mo, Dongyan Yu, Huiping Zhou
Turkish Journal of Mathematics
Let l \in N and \vec{A}=(A_1,\dots,A_l) and \vec{f}=(f_1,\dots,f_l) be 2 finite collections of functions, where every function A_i has derivatives of order m_i and f_1,\dots,f_l\in L_c^{\infty}(R^n). Let x\notin\cap_{i=1}^lSupp f_i. The generalized higher commutator generated by the multilinear fractional integral is then given by I_{\alpha,m}^{\vec{A}}(\vec{f})(x) =\dint_{(R^n)^m} \frac{\prod\limits_{i=1}^lR_{m_i+1}(A_i;x,y_i)f_{i}(y_i)}{ (x-y_1,\dots ,x-y_m) ^{ln+(m_1+m_2+\dots+m_l)-\alpha}} dy_1\dots dy_l. When D^{\gamma}A_i\in \dot{\Lambda}_{\beta_i}(0
Population Dynamical Behaviors Of Stochastic Logistic System With Jumps,
2014
TÜBİTAK
Population Dynamical Behaviors Of Stochastic Logistic System With Jumps, Ruihua Wu, Ke Wang
Turkish Journal of Mathematics
This paper is concerned with a stochastic logistic model driven by martingales with jumps. In the model, generalized noise and jump noise are taken into account. This model is new and more feasible. The explicit global positive solution of the system is presented, and then sufficient conditions for extinction and persistence are established. The critical value of extinction, nonpersistence in the mean, and weak persistence in the mean are obtained. The path-wise and moment properties are also investigated. Finally, some simulation figures are introduced to illustrate the main results.
Hilbert Series Of The Braid Monoid Mb_4 In Band Generators,
2014
TÜBİTAK
Hilbert Series Of The Braid Monoid Mb_4 In Band Generators, Zaffar Iqbal, Shamaila Yousaf
Turkish Journal of Mathematics
L. A. Bokut gave a Gröbner--Shirshov basis of the braid group B_n in band generators. Using this presentation and solving all the ambiguities we construct a linear system for irreducible words and compute the Hilbert series of the braid monoid MB_4.
Disjoint Supercyclic Powers Of Weighted Shifts On Weighted Sequence Spaces,
2014
TÜBİTAK
Disjoint Supercyclic Powers Of Weighted Shifts On Weighted Sequence Spaces, Yu-Xia Liang, Ze-Hua Zhou
Turkish Journal of Mathematics
We characterize the disjoint supercyclicity of finitely many different powers of weighted shifts acting on the weighted sequence spaces l^2(N,w), c_0(N,w) , and l^2(Z,w), c_0(Z,w), where w=(w_i)_i is a positive weight sequence satisfying w_i \geq 1 for every i\in N (or i\in Z).
Electrical Conductivity Imaging Via Boundary Value Problems For The 1-Laplacian,
2014
University of Central Florida
Electrical Conductivity Imaging Via Boundary Value Problems For The 1-Laplacian, Johann Veras
Electronic Theses and Dissertations
We study an inverse problem which seeks to image the internal conductivity map of a body by one measurement of boundary and interior data. In our study the interior data is the magnitude of the current density induced by electrodes. Access to interior measurements has been made possible since the work of M. Joy et al. in early 1990s and couples two physical principles: electromagnetics and magnetic resonance. In 2007 Nachman et al. has shown that it is possible to recover the conductivity from the magnitude of one current density field inside. The method now known as Current Density Impedance …
A Proof-Theoretic Semantic Analysis Of Dynamic Epistemic Logic,
2014
Aix-Marseille Université
A Proof-Theoretic Semantic Analysis Of Dynamic Epistemic Logic, Sabine Frittella, Giuseppe Greco, Alexander Kurz, Alessandra Palmigiano, Vlasta Sikimić
Engineering Faculty Articles and Research
The present paper provides an analysis of the existing proof systems for dynamic epistemic logic from the viewpoint of proof-theoretic semantics. Dynamic epistemic logic is one of the best known members of a family of logical systems which have been successfully applied to diverse scientific disciplines, but the proof theoretic treatment of which presents many difficulties. After an illustration of the proof-theoretic semantic principles most relevant to the treatment of logical connectives, we turn to illustrating the main features of display calculi, a proof-theoretic paradigm which has been successfully employed to give a proof-theoretic semantic account of modal and substructural …
A Constructive Proof Of The Borel-Weil Theorem For Classical Groups,
2014
Georgia Southern University
A Constructive Proof Of The Borel-Weil Theorem For Classical Groups, Kostiantyn Timchenko
College of Graduate Studies: Theses & Dissertations
The Borel-Weil theorem is usually understood as a realization theorem for representations that have already been shown to exist by other means (``Theorem of the Highest Weight''). In this thesis we turn the tables and show that, at least in the case of the classical groups $G = U(n)$, $SO(n)$ and $Sp(2n)$, the Borel-Weil construction can be used to quite explicitly prove existence of an irreducible representation having highest weight $\lambda$, for each dominant integral form $\lambda$ on the Lie algebra of a maximal torus of $G$.
On Some Inferential Problems With Recurrent Event Models,
2014
Missouri University of Science and Technology
On Some Inferential Problems With Recurrent Event Models, Withanage Ajith Raveendra De Mel
Doctoral Dissertations
"Recurrent events (RE) occur in many disciplines, such as biomedical, engineering, actuarial science, sociology, economy to name a few. It is then important to develop dynamic models for their modeling and analysis. Of interest with data collected in a RE monitoring are inferential problems pertaining to the distribution function F of the time between occurrences, or that of the distribution function G of the monitoring window, and their functionals such as quantiles, mean. These problems include, but not limited to: estimating F parametrically or nonparametrically; goodness of fit tests on an hypothesized family of distributions; efficient of tests; regression-type models, …
Lecture-Free Calculus For Science And Engineering,
2014
Purdue University
Lecture-Free Calculus For Science And Engineering, Benjamin Wiles
IMPACT Symposium
Plane Analytic Geometry and Calculus I (MA 16100) is a historically difficult, required course for engineering and science majors. The traditional configuration consists of 250 students meeting in a large lecture 3 times per week and twice per week in smaller recitations of size 40. Additionally, those who repeat the course often continue to encounter difficulty. A scalable re-design has been implemented to attempt to address the needs of students that are not being met in the traditional configuration by diverting resources from lecture to problem sessions and from traditional Q&A recitations to student-driven presentation/collaboration-based recitations. The students work in …
Structure Vs. Properties Using Chemical Graph Theory,
2014
Georgia Southern University
Structure Vs. Properties Using Chemical Graph Theory, Tabitha N. Williford
College of Graduate Studies: Theses & Dissertations
Chemical graph theory began as a way for mathematicians to bring together the areas of the Physical Sciences and Mathematics. Through its use, mathematicians are able to model chemical systems, predict their properties as well as structure-property relationships. In this dissertation, we consider two questions involving chemical graph theory and its applications. We first look at tree-like polyphenyl systems, which form an important family of compounds in Chemistry, particularly in Material Science. The importance can be seen in LEDs, transmitters, and electronics. In recent years, many extremal results regarding such systems under specific constraints have been reported. More specifically are …
Independence Polynomials,
2014
University of South Carolina - Columbia
Independence Polynomials, Gregory Matthew Ferrin
Theses and Dissertations
In this thesis, we investigate the independence polynomial of a simple graph G. In addition to giving several tools for computing these polynomials and giving closed-form representations of these polynomials for common classes of graphs, we prove two results concerning the roots of independence polynomials. The first result gives us the unique root of smallest modulus of the independence polynomial of a graph. The second result tells us that all the roots of the independence polynomial of a claw-free graph fall on the real line.
On The Dynamic Coloring Of Strongly Regular Graphs,
2014
Sharif University of Technology
On The Dynamic Coloring Of Strongly Regular Graphs, Saieed Akbari, Maryam Ghanbari, Sogol Jahanbekam
Faculty Publications
No abstract provided.
Generator Polynomial Formulation For Parallel Counters With Applications,
2014
Old Dominion University
Generator Polynomial Formulation For Parallel Counters With Applications, Lee A. Belfore Ii
Electrical & Computer Engineering Faculty Publications
Parallel counters have been studied for several decades as a component in high speed multipliers and multi-operand adder circuits. Using a generator polynomial as a formalism for describing parallel counters in the general case, parallel counter properties can be derived and inferred. Furthermore, the structure and decomposition of the generator polynomial can suggest different implementation strategies. These include simple implementations of (7,3) and (15,4) parallel counters. By grouping factors, the design of a fast (7,3) parallel counter is presented. Finally, the generator polynomial is extended to permit factors of different weights. This extension provides a means for describing the design …
