The Schwartz Space: Tools For Quantum Mechanics And Infinite Dimensional Analysis,
2015
Stephen F Austin State University
The Schwartz Space: Tools For Quantum Mechanics And Infinite Dimensional Analysis, Jeremy Becnel, Ambar Sengupta
Faculty Publications
An account of the Schwartz space of rapidly decreasing functions as a topological vector space with additional special structures is presented in a manner that provides all the essential background ideas for some areas of quantum mechanics along with infinite-dimensional distribution theory.
Math In The Modern World,
2015
CUNY La Guardia Community College
Math In The Modern World, Steven Cosares
Open Educational Resources
Students are asked to gather nutrition data regarding their favorite snacks and assess how well they contribute to their maintenance of a “healthy” diet, as defined through, articles, websites, and guidelines established by the US Department of Agriculture.
Elementary Algebra,
2015
CUNY La Guardia Community College
Elementary Algebra, Mangala Kothari
Open Educational Resources
Students use world population data to find the observed trend, the rate of population growth, build a model (linear equation) using the data, and predict the future world’s population size based on the model that they develop.
Some Combinatorial Applications Of Sage, An Open Source Program,
2015
Missouri University of Science and Technology
Some Combinatorial Applications Of Sage, An Open Source Program, Jessica Ruth Chowning
Masters Theses
"In this thesis, we consider the usefulness of Sage, an online and open-source program, in analyzing permutation puzzles such as the Rubik's cube and a specific combinatorial structure called the projective plane. Many programs exist to expedite calculations in research and provide previously-unavailable solutions; some require purchase, while others, such as Sage, are available for free online. Sage is asked to handle a small permutation puzzle called Swap, and then we explore how it calculates solutions for a Rubik's cube. We then discuss projective planes, Sage's library of functions for dealing with projective planes, and how they relate to the …
Expansive Periodic Mechanisms,
2015
Rider University
Expansive Periodic Mechanisms, Ciprian Borcea, Ileana Streinu
Computer Science: Faculty Publications
A one-parameter deformation of a periodic bar-and-joint framework is expansive when all distances between joints increase or stay the same. In dimension two, expansive behavior can be fully explained through our theory of periodic pseudo-triangulations. However, higher dimensions present new challenges. In this paper we study a number of periodic frameworks with expansive capabilities in dimension d ≥ 3 and register both similarities and contrasts with the two-dimensional case.
Some Remarks On Distributional Chaos For Bounded Linear Operators,
2015
TÜBİTAK
Some Remarks On Distributional Chaos For Bounded Linear Operators, Lvlin Luo, Bingzhe Hou
Turkish Journal of Mathematics
The aim of this paper is to study distributional chaos for bounded linear operators. We show that distributional chaos of type k \in {1,2} is an invariant of topological conjugacy between two bounded linear operators. We give a necessary condition for distributional chaos of type 2 where it is possible to distinguish distributional chaos and Li--Yorke chaos. Following this condition, we compare distributional chaos with other well-studied notions of chaos for backward weighted shift operators and give an alternative proof to the one where strong mixing does not imply distributional chaos of type 2 (Martínez-Giménez F, Oprocha P, Peris A. …
Spreading Speeds In A Lattice Differential Equation With Distributed Delay,
2015
TÜBİTAK
Spreading Speeds In A Lattice Differential Equation With Distributed Delay, Huiling Niu
Turkish Journal of Mathematics
This paper studies the spreading speed for a lattice differential equation with infinite distributed delay and we find that the spreading speed coincides with the minimal wave speed of traveling waves. Here the model has been proposed to describe a single species living in a 1D patch environment with infinite number of patches connected locally by diffusion.
Coextended Weak Entwining Structures,
2015
TÜBİTAK
Coextended Weak Entwining Structures, José Nicanor Alonso Álvarez, José Manuel Fernandez Vilaboa, Ramón González Rodríguez
Turkish Journal of Mathematics
In this paper, we formulate the definition of coextended weak entwining structure in a strict monoidal category with equalizers. For a coextended weak entwining structure (A,D,\psi,\alpha), we introduce the notions of weak (D,\alpha)-cleft extension and weak (D,\alpha)-Galois extension (with normal basis), proving that weak (D,\alpha)-Galois extensions with normal basis are equivalent to weak (D,\alpha)-cleft extensions.
On Separating Subadditive Maps,
2015
TÜBİTAK
On Separating Subadditive Maps, Vesko Valov
Turkish Journal of Mathematics
Recall that a map T \colon C(X,E) \to C(Y,F), where X, Y are Tychonoff spaces and E, F are normed spaces, is said to be separating, if for any 2 functions f,g \in C(X,E) we have c(T(f)) \cap c(T(g))= \varnothing provided c(f) \cap c(g) = \varnothing. Here c(f) is the co-zero set of f. A typical result generalizing the Banach--Stone theorem is of the following type (established by Araujo): if T is bijective and additive such that both T and T^{-1} are separating, then the realcompactification \nu X of X is homeomorphic to \nu Y. In this paper we show …
On Some Classes Of $3$-Dimensional Generalized $ (\Kappa ,\Mu )$-Contact Metric Manifolds,
2015
TÜBİTAK
On Some Classes Of $3$-Dimensional Generalized $ (\Kappa ,\Mu )$-Contact Metric Manifolds, Ahmet Yildiz, Uday Chand De, Azi̇me Çeti̇nkaya
Turkish Journal of Mathematics
The object of the present paper is to obtain a necessary and sufficient condition for a $3$-dimensional generalized $(\kappa ,\mu )$-contact metric manifold to be locally $\phi $-symmetric in the sense of Takahashi and the condition is verified by an example. Next we characterize a $3$-dimensional generalized $(\kappa ,\mu )$-contact metric manifold satisfying certain curvature conditions on the concircular curvature tensor. Finally, we construct an example of a generalized $(\kappa,\mu)$-contact metric manifold to verify Theorem $1$ of our paper.
Characterizing Rational Groups Whose Irreducible Characters Vanish Only On Involutions,
2015
TÜBİTAK
Characterizing Rational Groups Whose Irreducible Characters Vanish Only On Involutions, Saeed Jafari, Hesam Sharifi
Turkish Journal of Mathematics
A rational group is a finite group whose irreducible complex characters are rational valued. The aim of this paper is to classify rational groups $G$ for which every nonlinear irreducible character vanishes only on involutions.
Regular Poles For The P-Adic Group $Gsp_4$-Ii,
2015
TÜBİTAK
Regular Poles For The P-Adic Group $Gsp_4$-Ii, Yusuf Danişman
Turkish Journal of Mathematics
We compute the regular poles of the L-factors of the admissible and irreducible representations of the group $GSp_4$, which admit a nonsplit Bessel functional and have a Jacquet module length of 3 with respect to the unipotent radical of the Siegel parabolic, over a non-Archimedean local field of odd characteristic. We also compute the $L$-factors of the generic representations of $GSp_4$.
Notes On Magnetic Curves In 3d Semi-Riemannian Manifolds,
2015
TÜBİTAK
Notes On Magnetic Curves In 3d Semi-Riemannian Manifolds, Zehra Özdemi̇r, İsmai̇l Gök, Yusuf Yayli, Fai̇k Nejat Ekmekci̇
Turkish Journal of Mathematics
A magnetic field is defined by the property that its divergence is zero in three-dimensional semi-Riemannian manifolds. Each magnetic field generates a magnetic flow whose trajectories are curves $\gamma $, called magnetic curves. In this paper, we investigate the effect of magnetic fields on the moving particle trajectories by variational approach to the magnetic flow associated with the Killing magnetic field on three-dimensional semi-Riemannian manifolds. We then investigate the trajectories of these magnetic fields and give some characterizations and examples of these curves.
Stability In A Job Market With Linearly Increasing Valuations And Quota System,
2015
TÜBİTAK
Stability In A Job Market With Linearly Increasing Valuations And Quota System, Yasir Ali
Turkish Journal of Mathematics
We consider a job market in which preferences of players are represented by linearly increasing valuations. The set of players is divided into two disjoint subsets: a set of workers and a set of firms. The set of workers is further divided into subsets, which represent different categories or classes in everyday life. We consider that firms have vacant posts for all such categories. Each worker wants a job for a category to which he/she belongs. Firms have freedom to hire more than one worker from any category. A worker can work in only one category for at most one …
On Broyden-Like Update Via Some Quadratures For Solving Nonlinear Systems Of Equations,
2015
TÜBİTAK
On Broyden-Like Update Via Some Quadratures For Solving Nonlinear Systems Of Equations, Hassan Mohammad, Mohammed Yusuf Waziri
Turkish Journal of Mathematics
In this work, we propose a new alternative approximation based on the quasi-Newton approach for solving systems of nonlinear equations using the average of midpoint and Simpson's quadrature. Our goal is to enhance the efficiency of the method (Broyden's method) by reducing the number of iterations it takes to reach a solution. Local convergence analysis and computational results showing the relative efficiency of the proposed method are given.
Almost Analytic Forms With Respect To A Quadratic Endomorphism And Their Cohomology,
2015
TÜBİTAK
Almost Analytic Forms With Respect To A Quadratic Endomorphism And Their Cohomology, Mircea Crasmareanu, Cristian Ida
Turkish Journal of Mathematics
The goal of this paper is to consider the notion of almost analytic form in a unifying setting for both almost complex and almost paracomplex geometries. We use a global formalism, which yields, in addition to generalizations of the main results of the previously known almost complex case, a relationship with the Frölicher-Nijenhuis theory. A cohomology of almost analytic forms is also introduced and studied as well as deformations of almost analytic forms with pairs of almost analytic functions.
Finite Groups With Three Conjugacy Class Sizes Of Primary And Biprimary Elements,
2015
TÜBİTAK
Finite Groups With Three Conjugacy Class Sizes Of Primary And Biprimary Elements, Changguo Shao, Qinhui Jiang
Turkish Journal of Mathematics
We determine the structure of finite $\pi(m)$-separable groups if the set of conjugacy class sizes of primary and biprimary elements is $\{1, m, mn\}$, where $m$ and $n$ are two coprime integers.
Invariant Distributions And Holomorphic Vector Fields In Paracontact Geometry,
2015
TÜBİTAK
Invariant Distributions And Holomorphic Vector Fields In Paracontact Geometry, Mircea Crasmareanu, Laurian Ioan Piscoran
Turkish Journal of Mathematics
Having as a model the metric contact case of V. Brînzănescu; R. Slobodeanu, we study two similar subjects in the paracontact (metric) geometry: a) distributions that are invariant with respect to the structure endomorphism $\varphi $; b) the class of vector fields of holomorphic type. As examples we consider both the $3$-dimensional case and the general dimensional case through a Heisenberg-type structure inspired also by contact geometry.
Stability Of Compact Ricci Solitons Under Ricci Flow,
2015
TÜBİTAK
Stability Of Compact Ricci Solitons Under Ricci Flow, Mina Vaghef, Asadollah Razavi
Turkish Journal of Mathematics
In this paper we establish stability results for Ricci solitons under the Ricci flow, i.e. small perturbations of the Ricci soliton result in small variations in the solution under Ricci flow.
A Note On M-Embedded Subgroups Of Finite Groups,
2015
TÜBİTAK
A Note On M-Embedded Subgroups Of Finite Groups, Juping Tang, Long Miao
Turkish Journal of Mathematics
Let $A$ be a subgroup of $G$. $A$ is m-embedded in $G$ if $G$ has a subnormal subgroup $T$ and a $\{1\leq G\}$-embedded subgroup $C$ such that $G=AT$ and $T\cap A\leq C\leq A$. In this paper, we study the structure of finite groups by using m-embedded subgroups and obtain some new results about $p$-supersolvability and $p$-nilpotency of finite groups. \vs{-1mm}
