Mathematics Commons^™

A Constructive Proof Of Fundamental Theory For Fuzzy Variable Linear Programming Problems, A. Ebrahimnejad

Applications and Applied Mathematics: An International Journal (AAM)

Two existing methods for solving fuzzy variable linear programming problems based on ranking functions are the fuzzy primal simplex method proposed by Mahdavi-Amiri et al. (2009) and the fuzzy dual simplex method proposed by Mahdavi-Amiri and Nasseri (2007). In this paper, we prove that in the absence of degeneracy these fuzzy methods stop in a finite number of iterations. Moreover, we generalize the fundamental theorem of linear programming in a crisp environment to a fuzzy one. Finally, we illustrate our proof using a numerical example.

A Representation For Positive Functionals Of A Brownian Motion And An Application, P Sundar, Ming Tao

Communications on Stochastic Analysis

No abstract provided.

Lattice Modules Over Rings Of Bounded Random Variables, Karl-Theodor Eisele, Sonia Taieb

Communications on Stochastic Analysis

No abstract provided.

Spectral Multipliers For The Dunkl Laplacian, Sallam Hassani, Mohamed Sifi

Communications on Stochastic Analysis

No abstract provided.

Bose-Einstein Condensation: A Transition To Chaos Result, Stefania Ugolini

Communications on Stochastic Analysis

No abstract provided.

The Feynman Integrand For The Charged Particle In A Constant Magnetic Field As White Noise Distribution, Wolfgang Bock, Martin Grothaus, Sebastian Jung

Communications on Stochastic Analysis

No abstract provided.

Cauchy Problem And Integral Representation Associated To The Power Of The Qwn-Euler Operator, Aymen Ettaieb, Habib Ouerdiane, Hafedh Rguigui

Communications on Stochastic Analysis

No abstract provided.

Generalized Field Operator Associated To The Fractional Lévy Processes, Mounir Dahwathi, Souheyl Jendoubi, Habib Ouerdiane, Anis Riahi

Communications on Stochastic Analysis

No abstract provided.

Numerical Methods For Optimal Insurance Demand Under Marked Point Processes Shocks, Mohamed Mnif

Communications on Stochastic Analysis

No abstract provided.

Effects Of Tracking Students In A Secondary Mathematics Classroom, Nicole Seyfried

Mathematics Graduate Theses

This paper evaluates current research on the effect of grouping students of comparable abilities, a process known as tracking, in a secondary mathematics classroom. The research explores questions regarding the advantages and the disadvantages of tracking students by ability; the manner in which tracking affects the achievement of students in homogeneous and heterogeneous settings, and the ways tracking affects the achievement gap. In addition, this paper answers the question of how tracking affects students’ self- concept and self-esteem. Lastly, it examines changes in teacher attitude with respect to each track level and the impact of ability grouping on classroom structure …

Preface

Communications on Stochastic Analysis

No abstract provided.

Clark-Ocone Formula By The S-Transform On The Poisson White Noise Space, Yuh-Jia Lee, Nicolas Privault, Hsin-Hung Shih

Communications on Stochastic Analysis

No abstract provided.

Lieb-Thirring Bound For Schrödinger Operators With Bernstein Functions Of The Laplacian, Fumio Hiroshima, József Lorinczi

Communications on Stochastic Analysis

No abstract provided.

Backward Stochastic Differential Equations With Respect To General Filtrations And Applications To Insider Finance, Bernt Øksendal, Tusheng Zhang

Communications on Stochastic Analysis

No abstract provided.

The Itô Formula For A New Stochastic Integral, Hui-Hsiung Kuo, Anuwat Sae-Tang, Benedykt Szozda

Communications on Stochastic Analysis

No abstract provided.

Discrete Sparse Fourier Hermite Approximations In High Dimensions, Ashley Prater

Mathematics - Dissertations

In this dissertation, the discrete sparse Fourier Hermite approximation of a function in a specified Hilbert space of arbitrary dimension is defined, and theoretical error bounds of the numerically computed approximation are proven. Computing the Fourier Hermite approximation in high dimensions suffers from the well-known curse of dimensionality. In short, as the ambient dimension increases, the complexity of the problem grows until it is impossible to numerically compute a solution. To circumvent this difficulty, a sparse, hyperbolic cross shaped set, that takes advantage of the natural decaying nature of the Fourier Hermite coefficients, is used to serve as an index …

On The Independent Domination Number Of Regular Graphs, Wayne Goddard, Michael A. Henning, Jeremy Lyle, Justin Southey

Faculty Publications

A set S of vertices in a graph G is an independent dominating set of G if S is an independent set and every vertex not in S is adjacent to a vertex in S. In this paper, we consider questions about independent domination in regular graphs.

Generalizations Of Two Statistics On Linear Tilings, Toufik Mansour, Mark Shattuck

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we study generalizations of two well-known statistics on linear square-and-domino tilings by considering only those dominos whose right half covers a multiple of 􀝇, where 􀝇 is a fixed positive integer. Using the method of generating functions, we derive explicit expressions for the joint distribution polynomials of the two statistics with the statistic that records the number of squares in a tiling. In this way, we obtain two families of q -generalizations of the Fibonacci polynomials. When 􀝇 􀵌 1, our formulas reduce to known results concerning previous statistics. Special attention is payed to the case 􀝇 …

Boolean And Profinite Loops, Benjamin Andrew Phillips

Dissertations

A Quasigroup G consists of a set G together with a binary operation ∗ : G × G → G such that, for any elements a, b ∈ G there are unique solutions to the equations a ∗ x = b and y ∗ a = b within G. A loop is a quasigroup which also contains a 2-sided identity element. More heuristically, loops are essentially non-associative groups. However, without an associative binary operation, some of the familiar properties found in groups, such as 2-sided inverse, need not be present in loops.

The study of quasigroups and loops emerges …

K-Total Product Cordial Labelling Of Graphs, R. Ponraj, M. Sundaram, M. Sivakumar

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we introduce the k-Total Product cordial labelling of graphs. Also we investigate the 3-Total Product cordial labelling behaviour of some standard graphs.

On The Numerical Solution Of Linear Fredholm-Volterra İntegro Differential Difference Equations With Piecewise İntervals, Mustafa Gülsu, Yalçın Öztürk

Applications and Applied Mathematics: An International Journal (AAM)

The numerical solution of a mixed linear integro delay differential-difference equation with piecewise interval is presented using the Chebyshev collocation method. The aim of this article is to present an efficient numerical procedure for solving a mixed linear integro delay differential difference equations. Our method depends mainly on a Chebyshev expansion approach. This method transforms a mixed linear integro delay differential-difference equations and the given conditions into a matrix equation which corresponds to a system of linear algebraic equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computer algebraic system …

Solution Of Fuzzy System Of Linear Equations With Polynomial Parametric Form, Diptiranjan Behera, S. Chakraverty

Applications and Applied Mathematics: An International Journal (AAM)

This paper proposed two new and simple solution methods to solve a fuzzy system of linear equations having fuzzy coefficients and crisp variables using a polynomial parametric form of fuzzy numbers. Related theorems are stated and proved. The proposed methods are used to solve example problems. The results obtained are also compared with the known solutions and are found to be in good agreement.

Color Models As Tools In Teaching Mathematics, Ma. Louise Antonette N. De Las Peñas

Mathematics Faculty Publications

In this paper we discuss various situations how color models and patterns can be used to simplify the study of abstract mathematics and serve as tools in understanding mathematical ideas. We illustrate the realization of such models through the development of advanced computer technology. In particular, we present how a computer algebra software such as Mathematica, or a dynamic geometry environment, can be utilized to facilitate the study of transformation geometry and group theory.

Regular Homotopy Of Closed Curves On Surfaces, Katherine Kylee Zebedeo

Boise State University Theses and Dissertations

The use of rotation numbers in the classification of regular closed curves in the plane up to regular homotopy sparked the investigation of winding numbers to classify regular closed curves on other surfaces. Chillingworth [1] defined winding numbers for regular closed curves on particular surfaces and used them to classify orientation preserving regular closed curves that are based at a fixed point and direction. We define geometrically a group structure of the set of equivalence classes of regular closed curves based at a fixed point and direction. We prove this group structure coincides with the one introduced by Smale [9] …

L ∞-Algebra Actions, Rajan Amit Mehta, Marco Zambon

Mathematics Sciences: Faculty Publications

We define the notion of action of an L -algebra g on a graded manifold M, and show that such an action corresponds to a homological vector field on g[1]×M of a specific form. This generalizes the correspondence between Lie algebra actions on manifolds and transformation Lie algebroids. In particular, we consider actions of g on a second L -algebra, leading to a notion of "semidirect product" of L -algebras more general than those we found in the literature.

On The Behavior Of The Gamma Function On The Negative Side, Tri Minh Ngo

Senior Honors Theses

In this paper we analyze the behavior of the Gamma function at its critical points and points of discontinuity on the negative side of the x-axis. We will also explain the bluntness of the gamma function on this negative side.

On The Representation Of Inverse Semigroups By Difunctional Relations, Nathan Bloomfield

Graduate Theses and Dissertations

A semigroup S is called inverse if for each s in S, there exists a unique t in S such that sts = s and tst = t. A relation σ contained in X x Y is called full if for all x in X and y in Y there exist x' in X and y' in Y such that (x, y') and (x', y) are in σ, and is called difunctional if σ satisfies the equation σ σ^-1 σ = σ. Inverse semigroups were introduced by Wagner and Preston in 1952 and 1954, respectively, and difunctional relations were …

Using The Taylor Center To Teach Odes, Alexander Gofen

CODEE Journal

This article introduces a powerful ODE solver called the Taylor Center for PCs (http://taylorcenter.org/Gofen/) as a tool for teaching and performing numeric experiments with ODEs. The Taylor Center is an All-in-One GUI-style application for integrating ODEs by applying the modern Taylor Method (Automatic Differentiation). The Taylor Center also offers dynamic graphics (including 3D stereo vision). After a brief review of the features of the Taylor Center, we consider instructive examples of ODEs in various applications and also several particular examples illustrating intricacies of numeric integration. The article therefore continues the thesis of Borrelli and Coleman (CODEE Journal, http://www.codee.org/ref/CJ09-0157) that awareness …

Enhancing Effective Depth-Of-Field By Multi-Focus Image Fusion Using Morphological Techniques., Ishita De Ghosh Dr.

Doctoral Theses

A scene to be photographed, usually includes objects at varying distances from the camera. Depth-of-field of a digital camera is the range of distance, all objects within which appear to be sharp in the image. Due to the low depth-of-field of the camera, images acquired by them often suffer from degradation called out-of-foc us blur. One way to enhance the effective depth-of-field is to acquire se veral images of a scene with focus on different parts of it and then combine these images into a single image in such a way that all regions of the scene are in focus. …

Dark Solitons Of The Qiao's Hierarchy, Rossen Ivanov, Tony Lyons

Articles

We obtain a class of soliton solutions of the integrable hierarchy which has been put forward in a series of works by Z. Qiao. The soliton solutions are in the class of real functions approaching constant value fast enough at infinity, the so-called 'dark solitons'.