Pointwise Slant Submersions From Cosymplectic Manifolds,
2016
TÜBİTAK
Pointwise Slant Submersions From Cosymplectic Manifolds, Sezi̇n Aykurt Sepet, Mahmut Ergüt
Turkish Journal of Mathematics
In this paper, we characterize the pointwise slant submersions from cosymplectic manifolds onto Riemannian manifolds and give several examples.
The Generalized Reciprocal Super Catalan Matrix,
2016
TÜBİTAK
The Generalized Reciprocal Super Catalan Matrix, Emrah Kiliç, Talha Arikan
Turkish Journal of Mathematics
The reciprocal super Catalan matrix studied by Prodinger is further generalized, introducing two additional parameters. Explicit formulae are derived for the $LU$-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use $q$-analysis and to leave the justification of the necessary identities to the $q$-version of Zeilberger's celebrated algorithm.
A New Approach To Soft Uniform Spaces,
2016
TÜBİTAK
A New Approach To Soft Uniform Spaces, Taha Yasi̇n Öztürk
Turkish Journal of Mathematics
The purpose of this paper is to introduce the concept of soft uniform spaces and the relationships between soft uniform spaces and uniform spaces. The notions of soft uniform structure, soft uniform continious function, and operations on soft uniform space are introduced and their basic properties are investigated.
Regularity And Projective Dimension Of Some Class Of Well-Covered Graphs,
2016
TÜBİTAK
Regularity And Projective Dimension Of Some Class Of Well-Covered Graphs, Esfandiyar Lashani, Ali Soleyman Jahan
Turkish Journal of Mathematics
In this paper we study the Castelnuovo--Mumford regularity of an edge ideal associated with a graph in a special class of well-covered graphs. We show that if $G$ belongs to the class $\mathcal {SQ}$, then the Castelnuovo-Mumford regularity of $R/I(G)$ will be equal to induced matching number of $G$. For this class of graphs we also compute the projective dimension of the ring $R/I(G)$. As a corollary we describe these invariants in well-covered forests, well-covered chordal graphs, Cohen-Macaulay Cameron-Walker graphs, and simplicial graphs.
On Generalized Ostrowski-Type Inequalities For Functions Whose First Derivatives Absolute Values Are Convex,
2016
TÜBİTAK
On Generalized Ostrowski-Type Inequalities For Functions Whose First Derivatives Absolute Values Are Convex, Hüseyi̇n Budak, Mehmet Zeki̇ Sarikaya
Turkish Journal of Mathematics
In this paper, we establish some generalized Ostrowski-type inequalities for functions whose first derivatives absolute values are convex.
Some Normality Criteria,
2016
TÜBİTAK
Some Normality Criteria, Gopal Datt, Sanjay Kumar
Turkish Journal of Mathematics
In this article, we prove some normality criteria for a family of meromorphic functions, which involves sharing of a nonzero value by certain differential monomials generated by the members of the family. These results generalize some of the results of Schwick.
Numerical Approach For Solving Space Fractional Orderdiffusion Equations Using Shifted Chebyshev Polynomials Of The Fourth Kind, Nasser Hassan Swielam, Abd Elhameed Mohamed Nagy, Adel Abd Elaziz El Sayed
Turkish Journal of Mathematics
In this paper, a new approach for solving space fractional order diffusion equations is proposed. The fractional derivative in this problem is in the Caputo sense. This approach is based on shifted Chebyshev polynomials of the fourth kind with the collocation method. The finite difference method is used to reduce the equations obtained by our approach for a system of algebraic equations that can be efficiently solved. Numerical results obtained with our approach are presented and compared with the results obtained by other numerical methods. The numerical results show the efficiency of the proposed approach.
Rings Associated To Coverings Of Finite $P$-Groups,
2016
TÜBİTAK
Rings Associated To Coverings Of Finite $P$-Groups, Gary Walls, Linhong Wang
Turkish Journal of Mathematics
In general the endomorphisms of a nonabelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of functions defined on a group, which are endomorphisms when restricted to the elements of a cover of the group by abelian subgroups. We give an algorithm that allows us to determine the elements of the ring of functions of a finite $p$-group that arises in this manner when the elements of the cover are required to be either cyclic or elementary abelian of rank $2$. This enables us to determine …
Every Norm Is A Restriction Of An Order-Unit Norm,
2016
TÜBİTAK
Every Norm Is A Restriction Of An Order-Unit Norm, Mert Çağlar, Zafer Ercan
Turkish Journal of Mathematics
We point out the equivalence of the fact that every norm on a vector space is a restriction of an order-unit norm to that of Paulsen's construction concerning generalization of operator systems.
On A Constant Associated With The Prouhet-Tarry-Escott Problem,
2016
University of South Carolina
On A Constant Associated With The Prouhet-Tarry-Escott Problem, Maria E. Markovich
Theses and Dissertations
For n a positive integer, the Prouhet-Tarry-Escott Problem asks for two different sets of n positive integers for which the sum of the kth powers of the elements of one set is equal to the sum of the kth powers of the elements of the second set for each positive integer k < n. For n > 12, it is not known whether such sets exist. I will give some background on this problem and then show how Newton polygons can be used to determine information on the size of the 2-adic value of a certain constant associated with the problem.
Hamiltonian Formulation For Wave-Current Interactions In Stratified Rotational Flows,
2016
University of Vienna
Hamiltonian Formulation For Wave-Current Interactions In Stratified Rotational Flows, Adrian Constantin, Rossen Ivanov, Calin-Iulian Martin
Articles
We show that the Hamiltonian framework permits an elegant formulation of the nonlinear governing equations for the coupling between internal and surface waves in stratified water flows with piecewise constant vorticity.
The Neural Dynamics Of Somatosensory Processing And Adaptation Across Childhood: A High-Density Electrical Mapping Study,
2016
Albert Einstein College of Medicine
The Neural Dynamics Of Somatosensory Processing And Adaptation Across Childhood: A High-Density Electrical Mapping Study, Neha Uppal, John J. Foxe, John Butler, Frantzy Acluche, Sophie Molholm
Articles
Young children are often hyperreactive to somatosensory inputs hardly noticed by adults, as exemplified by irritation to seams or labels in clothing. The neurodevelopmental mechanisms underlying changes in sensory reactivity are not well understood. Based on the idea that neurodevelopmental changes in somatosensory processing and/or changes in sensory adaptation might underlie developmental differences in somatosensory reactivity, high-density electroencephalography was used to examine how the nervous system responds and adapts to repeated vibrotactile stimulation over childhood. Participants aged 6–18 yr old were presented with 50-ms vibrotactile stimuli to the right wrist over the median nerve at 5 blocked interstimulus intervals (ranging …
On The N-Wave Equations With Pt-Symmetry,
2016
Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko chaussee, 1784 Sofia, BULGARIA
On The N-Wave Equations With Pt-Symmetry, Vladimir Gerdjikov, Georgi Grahovski, Rossen Ivanov
Articles
We study extensions of N-wave systems with PT-symmetry. The types of (nonlocal) reductions leading to integrable equations invariant with respect to P- (spatial reflection) and T- (time reversal) symmetries is described. The corresponding constraints on the fundamental analytic solutions and the scattering data are derived. Based on examples of 3-wave (related to the algebra sl(3,C)) and 4-wave (related to the algebra so(5,C)) systems, the properties of different types of 1- and 2-soliton solutions are discussed. It is shown that the PT symmetric 3-wave equations may have regular multi-soliton solutions for some specific choices of their parameters.
Junior High School Teachers' Perceptions Of Math Instruction For African American Students,
2016
Walden University
Junior High School Teachers' Perceptions Of Math Instruction For African American Students, Sandra Denise Richardson
Walden Dissertations and Doctoral Studies
A mathematics achievement gap exists between 8th grade African American students and other ethnic groups. Guided by the conceptual framework of constructivism, the purpose of this case study was to examine 8, Grade 8 math teachers' perceptions of factors contributing to mathematical performance gap in their African American students and what instructional strategies can be used to help reduce the achievement gap in southwest Georgia. Data were obtained through interviews and classroom observations and were coded and analyzed using typological analysis, followed by inductive analysis. The results of the data revealed teachers perceived recruiting and retaining African American teachers and …
Teachers' Perceptions Of Manipulatives During Middle School Math Instruction,
2016
Walden University
Teachers' Perceptions Of Manipulatives During Middle School Math Instruction, Angela L. Vizzi
Walden Dissertations and Doctoral Studies
In a Colorado school district, school personnel and parents were concerned that middle school math proficiency levels were low for 2011-2014 and math teachers were not using manipulatives in their classes to increase math performance. The district's math coordinator did not foresee providing specific professional development (PD) for math manipulative use to address these concerns. Without this PD, math teachers may be ill-quipped to teach math concepts when using manipulatives, which, in turn, could lead to further poor math performance. The purpose of this qualitative bounded collective case study was to explore middle school teachers' perceptions of PD and perceived …
Understanding The Relationships Among Students' Goal Orientations, Self-Efficacy, Anxiety, And Accelerated Academic Success In The Redesign Of Developmental Mathematics,
2016
Walden University
Understanding The Relationships Among Students' Goal Orientations, Self-Efficacy, Anxiety, And Accelerated Academic Success In The Redesign Of Developmental Mathematics, Kelly Ann Hogan
Walden Dissertations and Doctoral Studies
The low success rates of increasing numbers of underprepared students taking developmental mathematics classes 'often minority and economically disadvantaged' are challenging community colleges across the United States. These students, who must start in the lowest levels of precollege mathematics courses, are unlikely to pass the first course and earn a credential. Using a mastery goal orientation theoretical framework, a quantitative, survey research design was used to ascertain any correlations between students' goal orientations, self-efficacy, test anxiety, and success in a new model of learning. Survey data were used to answer 3 research questions: (a) the relationship between success and students' …
A Quantitative Quasi-Experimental Study Of An Online High School Mathematics Remediation Program,
2016
Walden University
A Quantitative Quasi-Experimental Study Of An Online High School Mathematics Remediation Program, Terry Meehan
Walden Dissertations and Doctoral Studies
The local problem that drove this study is that a high school in an upper middle class suburban city in Pennsylvania wants to improve its student scores on its end-of-course Algebra 1 Keystone Exam. The purpose of this study was to conduct a quantitative, quasi-experimental assessment of an online high school mathematics remediation program to determine if the remediation program was successful in its endeavor to remediate students. This research study, informed by the self-efficacy and the behaviorist learning theories, attempted to determine whether students who (a) scored below proficient on the May algebra exam and were placed in the …
A Characteristic Averaging Property Of The Catenary,
2016
Lehigh University
A Characteristic Averaging Property Of The Catenary, Vincent Coll, Jeff Dodd
Research, Publications & Creative Work
It is well-known that the catenary is characterized by an extremal centroidal condition: It is the shape of the curve whose centroid is the lowest among all curves having a prescribed length and specified endpoints. Here, we establish a broad characteristic averaging property of the centenary that yields two new centroidal characterizations.
Higher Order Z-Ideals In Commutative Rings,
2016
University of South Africa
Higher Order Z-Ideals In Commutative Rings, Themba Dube, Oghenetega Ighedo
Mathematics, Physics, and Computer Science Faculty Articles and Research
We study ideals that resemble z-ideals in commutative rings with identity. For each positive integer n, we say an ideal of a commutative ring A is a zn-ideal in case it has the property that if a and b belong to the same maximal ideals of A, and an ϵ I , then bn is also in I. The set of all zn-ideals of A is denoted by A --> ʒn (A). This gives an ascending chain ʒ(A) < ʒ2(A) < ʒ3(A) <… of collections of ideals, starting with the collection of z-ideals. …
To The Memory Of R. Freivalds,
2016
Sacred Heart University
To The Memory Of R. Freivalds, Efim Kinber
School of Computer Science & Engineering Faculty Publications
The paper contains author’s memories of his mentor and teacher R. M. Freivalds.
