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2014

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Articles 571 - 600 of 995

Full-Text Articles in Mathematics

A Class Of Uniquely (Strongly) Clean Rings, Orhan Gürgün, Ayşe Çi̇ğdem Özcan Jan 2014

A Class Of Uniquely (Strongly) Clean Rings, Orhan Gürgün, Ayşe Çi̇ğdem Özcan

Turkish Journal of Mathematics

In this paper we call a ring R \delta_r-clean if every element is the sum of an idempotent and an element in \delta(R_R) where \delta(R_R) is the intersection of all essential maximal right ideals of R. If this representation is unique (and the elements commute) for every element we call the ring uniquely (strongly) \delta_r-clean. Various basic characterizations and properties of these rings are proved, and many extensions are investigated and many examples are given. In particular, we see that the class of \delta_r-clean rings lies between the class of uniquely clean rings and the class of exchange rings, and …


On The Structure Of Some Modules Over Generalized Soluble Groups, Leonid Andreevich Kurdachenko, Igor Yakov Subbotin, Vasiliy Anatolievich Chupordya Jan 2014

On The Structure Of Some Modules Over Generalized Soluble Groups, Leonid Andreevich Kurdachenko, Igor Yakov Subbotin, Vasiliy Anatolievich Chupordya

Turkish Journal of Mathematics

Let R be a ring and G a group. An R-module A is said to be Artinian-by-(finite rank) if Tor_R(A) is Artinian and A/ Tor_R(A) has finite R-rank. We study a module A over a group ring RG such that A/C_A(H) is Artinian-by-(finite rank) (as an R-module) for every proper subgroup H.


On 2 Nonsplit Extension Groups Associated With Hs And Hs:2, Jamshid Moori, Thekiso Seretlo Jan 2014

On 2 Nonsplit Extension Groups Associated With Hs And Hs:2, Jamshid Moori, Thekiso Seretlo

Turkish Journal of Mathematics

The group HS:2 is the full automorphism group of the Higman--Sims group HS. The groups 2^{4.}S_6 and 2^{5.}S_6 are maximal subgroups of HS and HS:2, respectively. The group 2^{4.}S_6 is of order 11520 and 2^{5.}S_6 is of order 23040 and each of them is of index 3 850 in HS and HS:2, respectively. The aim of this paper is to first construct \overline{G} = 2^{5.}S_6 as a group of the form 2^{4.}S_6.2 (that is, \overline{G} = G_1.2) and then compute the character tables of these 2 nonsplit extension groups by using the method of Fischer--Clifford theory. We will show that …


On Finsler Metrics With Vanishing S-Curvature, Akbar Tayebi, Hassan Sadeghi, Esmaeil Peyghan Jan 2014

On Finsler Metrics With Vanishing S-Curvature, Akbar Tayebi, Hassan Sadeghi, Esmaeil Peyghan

Turkish Journal of Mathematics

In this paper, we consider Finsler metrics defined by a Riemannian metric and a 1-form on a manifold. We study these metrics with vanishing S-curvature. We find some conditions under which such a Finsler metric is Berwaldian or locally Minkowskian.


Conformally Parallel Spin(7) Structures On Solvmanifolds, Selman Uğuz Jan 2014

Conformally Parallel Spin(7) Structures On Solvmanifolds, Selman Uğuz

Turkish Journal of Mathematics

In this paper we review the Spin(7) geometry in relation to solvmanifolds. Starting from a 7-dimensional nilpotent Lie group N endowed with an invariant G_2 structure, we present an example of a homogeneous conformally parallel Spin(7) metric on an associated solvmanifold. It is thought that this paper could lead to very interesting and exciting areas of research and new results in the direction of (locally conformally) parallel Spin(7) structures.


Geometry Of Almost Cliffordian Manifolds: Classes Of Subordinated Connections, Jaroslav Hrdina, Petr Vasik Jan 2014

Geometry Of Almost Cliffordian Manifolds: Classes Of Subordinated Connections, Jaroslav Hrdina, Petr Vasik

Turkish Journal of Mathematics

An almost Clifford and an almost Cliffordian manifold is a G--structure based on the definition of Clifford algebras. An almost Clifford manifold based on O:= Cl (s,t) is given by a reduction of the structure group GL(km, R) to GL(m, O), where k=2^{s+t} and m \in N. An almost Cliffordian manifold is given by a reduction of the structure group to GL(m, O) GL(1, O). We prove that an almost Clifford manifold based on O is such that there exists a unique subordinated connection, while the case of an almost Cliffordian manifold based on O is more rich. A class …


06. Computer Science, University Of Central Oklahoma Jan 2014

06. Computer Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


04. Botany, University Of Central Oklahoma Jan 2014

04. Botany, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


09. Environmental Science, University Of Central Oklahoma Jan 2014

09. Environmental Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


12. Kinesiology, University Of Central Oklahoma Jan 2014

12. Kinesiology, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


08. Engineering, University Of Central Oklahoma Jan 2014

08. Engineering, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


10. Forensic Science, University Of Central Oklahoma Jan 2014

10. Forensic Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


05. Chemistry, University Of Central Oklahoma Jan 2014

05. Chemistry, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


14. Optometry, University Of Central Oklahoma Jan 2014

14. Optometry, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


15. Pharmacy, University Of Central Oklahoma Jan 2014

15. Pharmacy, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


17. Psychology, University Of Central Oklahoma Jan 2014

17. Psychology, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


19. Zoology, University Of Central Oklahoma Jan 2014

19. Zoology, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


On The Modelling Of Tsunami Generation And Tsunami Inundation, Frédéric Dias, Denys Dutykh, Laura Cooke, Emiliano Renzi, Themistoklis Stefanakis Jan 2014

On The Modelling Of Tsunami Generation And Tsunami Inundation, Frédéric Dias, Denys Dutykh, Laura Cooke, Emiliano Renzi, Themistoklis Stefanakis

Conference papers

While the propagation of tsunamis is well understood and well simulated by numerical models, there are still a number of unanswered questions related to the generation of tsunamis or the subsequent inundation. We review some of the basic generation mechanisms as well as their simulation. In particular, we present a simple and computationally inexpensive model that describes the seabed displacement during an underwater earthquake. This model is based on the finite fault solution for the slip distribution under some assumptions on the kinematics of the rupturing process. We also consider an unusual source for tsunami generation: the sinking of a …


The Effects Of Math Anxiety On Mathematical Academic Success During The Freshman Year, Jennifer Brown Jan 2014

The Effects Of Math Anxiety On Mathematical Academic Success During The Freshman Year, Jennifer Brown

Faculty Bibliography

Math anxiety is a reoccurring problem for many students, and the effects of this anxiety on college students is increasing. The purpose of this study was to examine the association between pre-enrollment math anxiety, standardized test scores, math placement scores, and academic success during freshman math coursework (i.e., pre-algebra, college algebra, and math modeling). The researchers conducted an exploratory observational study using pre-existing data from the Freshman Orientation Survey, which contained the 9-item Abbreviated Math Anxiety Scale, and institutional research data. The sample included 180 freshmen students at a university in the southeastern United States. A series of descriptive and …


A New Method For Ranking Quarterback Fantasy Performance With Assessment Using Distances Between Rankings, Evan Boyd Jan 2014

A New Method For Ranking Quarterback Fantasy Performance With Assessment Using Distances Between Rankings, Evan Boyd

Theses, Dissertations and Capstones

Each year around the first week of September, NFL fans are fulfilled with the familiar emotions of watching their team compete for the ultimate prize: Fantasy League Championship. No, the NFL did not rename the Super Bowl. To some, this prize is even more personal than if your favorite childhood NFL team were to win the big game in February. To put it simply, the popularity of fantasy football has grown tremendously over time and the opportunity to best your friends, family, coworkers, whomever it may be that attempts to create the greatest fantasy football roster of all time, absolutely …


Mechanical Visualization Of A Second Order Dynamic Equation On Varying Time Scales, Molly Kathryn Peterson Jan 2014

Mechanical Visualization Of A Second Order Dynamic Equation On Varying Time Scales, Molly Kathryn Peterson

Theses, Dissertations and Capstones

In this work, we give an introduction to Time Scales Calculus, the properties of the exponential function on an arbitrary time scale, and use it to solve linear dynamic equation of second order. Time Scales Calculus was introduced by Stefan Hilger in 1988. It brings together the theories of difference and differential equations into one unified theory. By using the properties of the delta derivative and the delta anti-derivative, we analyze the behavior of a second order linear homogeneous dynamic equation on various time scales. After the analytical discussion, we will graphically evaluate the second order dynamic equation in Marshall’s …


Computing Local Constants For Cm Elliptic Curves, Sunil Chetty, Lung Li Jan 2014

Computing Local Constants For Cm Elliptic Curves, Sunil Chetty, Lung Li

Mathematics Faculty Publications

Let E/k be an elliptic curve with CM by O. We determine a formula for (a generalization of) the arithmetic local constant of Mazur-Rubin at almost all primes of good reduction. We apply this formula to the CM curves defined over Q and are able to describe extensions F/Q over which the O-rank of E grows.


Evolution Of Perturbations In Flow Field Mechanics, Samantha R. Bell, David Forliti, Nils Sedano, Kriss Vanderhyde Jan 2014

Evolution Of Perturbations In Flow Field Mechanics, Samantha R. Bell, David Forliti, Nils Sedano, Kriss Vanderhyde

STAR Program Research Presentations

This project explores the stability analysis of a given flow field. Specifically, where the peak disturbance occurs in a flow as this is the disturbance that is most likely to occur. In rocket combustion, it is important to understand where the maximum disturbance occurs so that the mixing of fuel can be stabilized. The instabilities are the results of frequencies in the area surrounding the flow field. The linear stability governing equations are employed to better understand the disturbance. The governing equations for continuity and momentum in the x and y directions are used to form an equation for the …


Global Existence, Uniform Decay, And Exponential Growth Of Solutions For A System Of Viscoelastic Petrovsky Equations, Faramarz Tahamtani, Amir Peyravi Jan 2014

Global Existence, Uniform Decay, And Exponential Growth Of Solutions For A System Of Viscoelastic Petrovsky Equations, Faramarz Tahamtani, Amir Peyravi

Turkish Journal of Mathematics

In this paper, we study the initial-boundary value problem for a system of nonlinear viscoelastic Petrovsky equations. Introducing suitable perturbed energy functionals and using the potential well method we prove uniform decay of solution energy under some restrictions on the initial data and the relaxation functions. Moreover, we establish a growth result for certain solutions with positive initial energy.


Scattering Data In An Inverse Scattering Problem On The Semi-Axis For A First-Order Hyperbolic System, Mansur Ismailov, İbrahi̇m Teki̇n Jan 2014

Scattering Data In An Inverse Scattering Problem On The Semi-Axis For A First-Order Hyperbolic System, Mansur Ismailov, İbrahi̇m Teki̇n

Turkish Journal of Mathematics

The inverse scattering problem for the first-order hyperbolic system on the semi-axis in the case of 2 incident and 2 scattered waves under consideration of 2 problems with the same given incident waves and different boundary conditions is considered. The scattering data on the semi-axis are given in terms of the scattering operator on the whole axis for the same system with the coefficients, which are extended in the whole axis by zero.


Kernel Operators On The Upper Half-Space: Boundedness And Compactness Criteria, Usman Ashraf, Muhammad Asif, Alexander Meskhi Jan 2014

Kernel Operators On The Upper Half-Space: Boundedness And Compactness Criteria, Usman Ashraf, Muhammad Asif, Alexander Meskhi

Turkish Journal of Mathematics

We establish necessary and sufficient conditions on a weight v governing the trace inequality \hat{K}f _{L^q_v(\hat{E})} \leq C f _{L^p(E)}, where E is a cone on a homogeneous group, \hat{E}: = E \times R_+ and \hat{K} is a positive kernel operator defined on \hat{E}. Compactness criteria for this operator are also established.


On Kakutani--Krein And Maeda--Ogasawara Spaces, Zafer Ercan, Neşet Özkan Tan Jan 2014

On Kakutani--Krein And Maeda--Ogasawara Spaces, Zafer Ercan, Neşet Özkan Tan

Turkish Journal of Mathematics

Let E be an Archimedean Riesz space. It is shown that the Kakutani--Krein space of the center of the Dedekind completion of E and the Maeda--Ogasawara space of E are homeomorphic. By applying this, we can reprove a Banach Stone type theorem for C^{\infty}(S) spaces, where S is a Stonean space.


A Characterization Of Certain Geodesic Hyperspheres In Complex Projective Space, Juan De Dios Perez, Y Oung Jin Suh Jan 2014

A Characterization Of Certain Geodesic Hyperspheres In Complex Projective Space, Juan De Dios Perez, Y Oung Jin Suh

Turkish Journal of Mathematics

We characterize geodesic hyperspheres of radius r such that cot^2(r)=\frac{1}{2} as the unique real hypersurfaces in complex projective space whose structure Jacobi operator satisfies a pair of conditions.


Almost Contact Lagrangian Submanifolds Of Nearly Kaehler 6-Sphere, Ramesh Sharma, Sharief Deshmukh, Falleh Al-Solamy Jan 2014

Almost Contact Lagrangian Submanifolds Of Nearly Kaehler 6-Sphere, Ramesh Sharma, Sharief Deshmukh, Falleh Al-Solamy

Mathematics Faculty Publications

For a Lagrangian submanifold M of S 6 with nearly Kaehler structure, we provide conditions for a canonically induced almost contact metric structure on M by a unit vector field, to be Sasakian. Assuming M contact metric, we show that it is Sasakian if and only if the second fundamental form annihilates the Reeb vector field ξ, furthermore, if the Sasakian submanifold M is parallel along ξ, then it is the totally geodesic 3-sphere. We conclude with a condition that reduces the normal canonical almost contact metric structure on M to Sasakian or cosymplectic structure.


Almost Ricci Solitons And K-Contact Geometry, Ramesh Sharma Jan 2014

Almost Ricci Solitons And K-Contact Geometry, Ramesh Sharma

Mathematics Faculty Publications

We give a short Lie-derivative theoretic proof of the following recent result of Barros et al. “A compact non-trivial almost Ricci soliton with constant scalar curvature is gradient, and isometric to a Euclidean sphere”. Next, we obtain the result: a complete almost Ricci soliton whose metric g is K-contact and flow vector field X is contact, becomes a Ricci soliton with constant scalar curvature. In particular, for X strict, g becomes compact Sasakian Einstein.