Title Ix Compliance: A Comparison Of Division I Equality,
2012
Coastal Carolina University
Title Ix Compliance: A Comparison Of Division I Equality, Jacqueline Leake
Honors Theses
The passage of Title IX of the Education Amendments of 1972 has had a significant impact on college athletics. However, there is still a large disparity between opportunities offered for men and women. This study determined the true gender equality within Division I athletics. Inequalities were assessed in the areas of athletic participation, athletically related student aid, recruiting expenses, and total expenses. Data from these areas were gathered from the Equity in Athletics Disclosure Analysis Cutting Tool. Ratios and the difference between the ideal and current values were calculated for each category. Institutions were ranked in each category, as well …
Decision Making Under Interval Uncertainty (And Beyond),
2012
The University of Texas at El Paso
Decision Making Under Interval Uncertainty (And Beyond), Vladik Kreinovich
Departmental Technical Reports (CS)
To make a decision, we must find out the user's preference, and help the user select an alternative which is the best -- according to these preferences. Traditional utility-based decision theory is based on a simplifying assumption that for each two alternatives, a user can always meaningfully decide which of them is preferable. In reality, often, when the alternatives are close, the user is often unable to select one of these alternatives. In this chapter, we show how we can extend the utility-based decision theory to such realistic (interval) cases.
Nabla Fractional Calculus And Its Application In Analyzing Tumor Growth Of Cancer,
2012
Western Kentucky University
Nabla Fractional Calculus And Its Application In Analyzing Tumor Growth Of Cancer, Fang Wu
Masters Theses & Specialist Projects
This thesis consists of six chapters. In the first chapter, we review some basic definitions and concepts of fractional calculus. Then we introduce fractional difference equations involving the Riemann-Liouville operator of real number order between zero and one. In the second chapter, we apply the Brouwer fixed point and Contraction Mapping Theorems to prove that there exists a solution for up to the first order nabla fractional difference equation with an initial condition. In chapter three, we define a lower and an upper solution for up to the first order nabla fractional difference equation with an initial condition. Under certain …
Thermalization And Initial State-Recurrence In Discrete Kdv-Like Lattices,
2012
Montclair State University
Thermalization And Initial State-Recurrence In Discrete Kdv-Like Lattices, Garrett Taylor Nieddu
Theses, Dissertations and Culminating Projects
Three discretizations of the Korteweg de-Vries equation are studied; convergence rate, initial state-recurrence, and the energy distribution of the three schemes are all considered. For each discrete scheme over 300 lattices with varying grid sizes were investigated, and the solutions were compared with other lattices from the same scheme, as well as solutions from the other two. It is found that the two schemes that are least accurate display the best recurrence at intermediate grid sizes, away from convergence. This is a notable result because the best recurrence is expected to be found in the most accurate, and converged lattices. …
Convex Hull Characterization Of Special Polytopes In N-Ary Variables,
2012
Clemson University
Convex Hull Characterization Of Special Polytopes In N-Ary Variables, Ruobing Shen
All Theses
This paper characterizes the convex hull of the set of n-ary vectors that are lexicographically less than or equal to a given such vector. A polynomial number of facets is shown to be sufficient to describe the convex hull. These facets generalize the family of cover inequalities for the binary case. They allow for advances relative to both the modeling of integer variables using base-n expansions, and the solving of n-ary knapsack problems with weakly super-decreasing coefficients.
Finding Unpredictable Behaviors Of Periodic Bouncing For Forced Nonlinear Spring Systems When Oscillating Time Is Large,
2012
University of Connecticut - Storrs
Finding Unpredictable Behaviors Of Periodic Bouncing For Forced Nonlinear Spring Systems When Oscillating Time Is Large, Yanyue Ning
Honors Scholar Theses
The model of nonlinear spring systems can be applied to deal with different aspect of mechanical problems, such as oscillations in periodic flexing in bridges and ships. The concentration of this research is the bouncing behaviors of nonlinear spring system when the processing time is large, therefore nonlinear ordinary differential equations (ODE) are suitable since researchers can add different variables into the models and solve them by computational methods. Benefit from this, it is easy to check the oscillations or bouncing behaviors that each variable contributes to the model and find the relationship between some important factors: vibrating frequency, external …
Stability And Convergence For Nonlinear Partial Differential Equations,
2012
Boise State University
Stability And Convergence For Nonlinear Partial Differential Equations, Oday Mohammed Waheeb
Boise State University Theses and Dissertations
If used cautiously, numerical methods can be powerful tools to produce solutions to partial differential equations with or without known analytic solutions. The resulting numerical solutions may, with luck, produce stable and accurate solutions to the problem in question, or may produce solutions with no resemblance to the problem in question at all. More such numerical computations give no hope of solving this troublesome feature and one needs to resort to investing time in a theoretical approach. This thesis is devoted not solely to computations, but also to a theoretical analysis of the numerical methods used to generate computationally the …
On Numerical Solution For Optimal Allocation Of Investment Funds In Portfolio Selection Problem,
2012
Ahmadu Bello University Zaria, Nigeria
On Numerical Solution For Optimal Allocation Of Investment Funds In Portfolio Selection Problem, Yahaya Abubakar
CBN Journal of Applied Statistics (JAS)
In this article, we present a procedure for obtaining an optimal solution to the Markowitz’s mean-variance portfolio selection problem based on the analytical solution developed in a previous research that lead to the emergence of an important model known as the Black Model. The procedure is well presented, illustrated and validated by a numerical example from real stocks dataset obtainable from a popular European stock market.
On The Geometrıc Interpretatıons Of The Kleın-Gordon Equatıon And Solution Of The Equation By Homotopy Perturbation Method,
2012
Firat University
On The Geometrıc Interpretatıons Of The Kleın-Gordon Equatıon And Solution Of The Equation By Homotopy Perturbation Method, Hasan Bulut, H. M. Başkonuş
Applications and Applied Mathematics: An International Journal (AAM)
This paper is organized in the following ways: In the first part, we obtained the Klein Gordon Equation (KGE) in the Galilean space. In the second part, we applied Homotopy Perturbation Method (HPM) to this differential equation. In the third part, we gave two examples for the Klein Gordon equation. Finally, We compared the numerical results of this differential equation with their exact results. We also showed that approach used is easy and highly accurate.
Numerical Studies For Solving Fractional Riccati Differential Equation,
2012
Cairo University
Numerical Studies For Solving Fractional Riccati Differential Equation, N. H. Sweilam, M. M. Khader, A. M. S. Mahdy
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, finite difference method (FDM) and Pade'-variational iteration method (Pade'- VIM) are successfully implemented for solving the nonlinear fractional Riccati differential equation. The fractional derivative is described in the Caputo sense. The existence and the uniqueness of the proposed problem are given. The resulting nonlinear system of algebraic equations from FDM is solved by using Newton iteration method; moreover the condition of convergence is verified. The convergence's domain of the solution is improved and enlarged by Pade'-VIM technique. The results obtained by using FDM is compared with Pade'-VIM. It should be noted that the Pade'-VIM is preferable because …
On The Numerical Solution Of Linear Fredholm-Volterra İntegro Differential Difference Equations With Piecewise İntervals,
2012
Mugla University
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 …
Further Results On Fractional Calculus Of Saigo Operators,
2012
Anand International College of Engineering
Further Results On Fractional Calculus Of Saigo Operators, Praveen Agarwal
Applications and Applied Mathematics: An International Journal (AAM)
A significantly large number of earlier works on the subject of fractional calculus give interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis (such as ordinary and partial differential equations, integral equations, special functions, summation of series, et cetera). The main object of the present paper is to study and develop the Saigo operators. First, we establish two results that give the image of the product of multivariable H-function and a general class of polynomials in Saigo operators. On account of the general nature of the Saigo operators, multivariable H-function and …
An Approximate Analytical Algorithm For Solving The Multispecies Lotka-Volterra Equations,
2012
Payame Noor University
An Approximate Analytical Algorithm For Solving The Multispecies Lotka-Volterra Equations, Abdolsaeed Alavi, Asghar Ghorbani
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, a new efficient method called the parametric iteration method (PIM) is applied to accurately solve the multispecies Lotka–Volterra equations (MLVEs). Some cases of MLVEs are highlighted in order to show the simplicity and efficiency of the method. The results obtained in this work demonstrate that the present algorithm is a powerful analytic tool for the solution of MLVEs.
A Constructive Proof Of Fundamental Theory For Fuzzy Variable Linear Programming Problems,
2012
Islamic Azad University
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.
Modification Of Truncated Expansion Method For Solving Some Important Nonlinear Partial Differential Equations,
2012
University of Guilan
Modification Of Truncated Expansion Method For Solving Some Important Nonlinear Partial Differential Equations, N. Taghizadeh, M. Mirzazadeh
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we implemented modification of truncated expansion method for the exact solutions of the Konopelchenko-Dubrovsky equation the (n+1)-dimensional combined sinhcosh- Gordon equation and the Maccari system. Modification of truncated expansion method is a powerful solution method for obtaining exact solutions of nonlinear evolution equations. This method presents a wider applicability for handling nonlinear wave equations.
On Stability Of Dynamic Equations On Time Scales Via Dichotomic Maps,
2012
Mugla University
On Stability Of Dynamic Equations On Time Scales Via Dichotomic Maps, Veysel F. Hatipoğlu, Zeynep F. Koçak, Deniz Uçar
Applications and Applied Mathematics: An International Journal (AAM)
Dichotomic maps are used to check the stability of ordinary differential equations and difference equations. In this paper, this method is extended to dynamic equations on time scales; the stability and asymptotic stability to the trivial solution of the first order system of dynamic equations are examined using dichotomic and strictly dichotomic maps. This method, in dynamic equations, also involves Lyapunov’s direct method.
Two Reliable Methods For Solving The Modified Improved Kadomtsev-Petviashvili Equation,
2012
University of Guilan
Two Reliable Methods For Solving The Modified Improved Kadomtsev-Petviashvili Equation, N. Taghizadeh, S. R. Moosavi Noori
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, the tanh-coth method and the extended (G'/G)-expansion method are used to construct exact solutions of the nonlinear Modified Improved Kadomtsev-Petviashvili (MIKP) equation. These methods transform nonlinear partial differential equation to ordinary differential equation and can be applied to nonintegrable equation as well as integrable ones. It has been shown that the two methods are direct, effective and can be used for many other nonlinear evolution equations in mathematical physics.
Investigation Of Nonlinear Problems Of Heat Conduction In Tapered Cooling Fins Via Symbolic Programming,
2012
University of Tehran
Investigation Of Nonlinear Problems Of Heat Conduction In Tapered Cooling Fins Via Symbolic Programming, Hooman Fatoorehchi, Hossein Abolghasemi
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, symbolic programming is employed to handle a mathematical model representing conduction in heat dissipating fins with triangular profiles. As the first part of the analysis, the Modified Adomian Decomposition Method (MADM) is converted into a piece of computer code in MATLAB to seek solution for the mentioned problem with constant thermal conductivity (a linear problem). The results show that the proposed solution converges to the analytical solution rapidly. Afterwards, the code is extended to calculate Adomian polynomials and implemented to the similar, but more generalized, problem involving a power law dependence of thermal conductivity on temperature. The …
Sensitivity Analysis In Magnetic Resonance Elastography And A Local Wavelength Reconstruction Based On Wave Direction,
2012
Clemson University
Sensitivity Analysis In Magnetic Resonance Elastography And A Local Wavelength Reconstruction Based On Wave Direction, Christopher Gillam
All Dissertations
or the detection of early stage cancer. MRE utilizes interior data for its inverse problems, which greatly reduces the ill-posedness from which most traditional inverse problems suffer.
In this thesis, we first establish a sensitivity analysis for viscoelastic scalar medium with complex wave number and compare it with the purely elastic case. Also we estimate the smallest detectable inclusion for breast and liver, which is about twice larger than using the purely elastic model. We also found the existence of optimal frequency (50 Hz) that maximizes the detectability when the Voigt model is used.
Second, we propose a local wavelength …
Polyhedral Approximations Of Quadratic Semi-Assignment Problems, Disjunctive Programs, And Base-2 Expansions Of Integer Variables,
2012
Clemson University
Polyhedral Approximations Of Quadratic Semi-Assignment Problems, Disjunctive Programs, And Base-2 Expansions Of Integer Variables, Frank Muldoon
All Dissertations
This research is concerned with developing improved representations for special families of mixed-discrete programming problems. Such problems can typically be modeled using different mathematical forms, and the representation employed can greatly influence the problem's ability to be solved. Generally speaking, it is desired to obtain mixed 0-1 linear forms whose continuous relaxations provide tight polyhedral outer-approximations to the convex hulls of feasible solutions. This dissertation makes contributions to three distinct problems, providing new forms that improve upon published works.
The first emphasis is on devising solution procedures for the classical quadratic semi-assignment problem(QSAP), which is an NP-hard 0-1 quadratic program. …
