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Articles 241 - 270 of 882
Full-Text Articles in Mathematics
Introduction (2011), Russell Howell
Introduction (2011), Russell Howell
ACMS Conference Proceedings 2011
Eighteenth Conference of the Association of Christians in the Mathematical Sciences
Table Of Contents (2011), Association Of Christians In The Mathematical Sciences
Table Of Contents (2011), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2011
Eighteenth Conference of the Association of Christians in the Mathematical Sciences
Schedule (2011), Association Of Christians In The Mathematical Sciences
Schedule (2011), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2011
Eighteenth Conference of the Association of Christians in the Mathematical Sciences
The Graph Distance Game, Wayne Goddard, Anne Sinko, Peter J. Slater, Honghai Xu
The Graph Distance Game, Wayne Goddard, Anne Sinko, Peter J. Slater, Honghai Xu
Mathematics Faculty Publications
In the graph distance game, two players alternate in constructing a maximal path. The objective function is the distance between the two endpoints of the path, which one player tries to maximize and the other tries to minimize. In this note, we examine the distance game for various graphs, and provide general bounds, exact results for special graphs, and an algorithm for trees. Computer calculations suggest interesting conjectures for grids.
Reliability Analysis Of A Series And Parallel Network Using Triangular Intuitionistic Fuzzy Sets, D. Pandey, S. K. Tyagi, Vinesh Kumar
Reliability Analysis Of A Series And Parallel Network Using Triangular Intuitionistic Fuzzy Sets, D. Pandey, S. K. Tyagi, Vinesh Kumar
Applications and Applied Mathematics: An International Journal (AAM)
This paper describes a novel approach, based on intuitionistic fuzzy set theory for reliability analysis of series and parallel network. The triangular intuitionistic fuzzy sets are used to represent the failure possibility of each basic (terminal) event to get more comprehensive results for the failure possibility of the top event. The proposed technique is demonstrated on a web server LOG data used to illustrate HTTP (Hyper Text Transfer Protocol) failure
Σary, Minnesota State University Moorhead, Mathematics Department
Σary, Minnesota State University Moorhead, Mathematics Department
Math Department Newsletters
No abstract provided.
Local Estimates For The Koornwinder Jacobi-Type Polynomials, Valmir Krasniqi, Naim L. Braha, Armend S. Shabani
Local Estimates For The Koornwinder Jacobi-Type Polynomials, Valmir Krasniqi, Naim L. Braha, Armend S. Shabani
Applications and Applied Mathematics: An International Journal (AAM)
In this paper we give some local estimates for the Koornwinder Jacobi-type polynomials by using asymptotic properties of Jacobi orthogonal polynomials.
Similarity Solution For Flow Of A Micro-Polar Fluid Through A Porous Medium, Kh. S. Mekheimer, R. E. Abo-Elkhair, S. Z. -A. Husseny, A. T. Ali
Similarity Solution For Flow Of A Micro-Polar Fluid Through A Porous Medium, Kh. S. Mekheimer, R. E. Abo-Elkhair, S. Z. -A. Husseny, A. T. Ali
Applications and Applied Mathematics: An International Journal (AAM)
The equations of two dimensional incompressible steady micro-polar fluid flows through a porous medium are studied. Lie group analysis is employed and the solutions corresponding to the translational symmetry are developed. A boundary value problem is investigated and the results are sketched graphically. The effect on the flow of the porosity coefficient of the porous medium and the micro-polar parameters are observed.
Homotopy Perturbation Method For Solving System Of Generalized Abel’S Integral Equations, Sunil Kumar, Om P. Singh, Sandeep Dixit
Homotopy Perturbation Method For Solving System Of Generalized Abel’S Integral Equations, Sunil Kumar, Om P. Singh, Sandeep Dixit
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, a user friendly algorithm based on the homotopy perturbation method (HPM) is proposed to solve a system of generalized Abel’s integral equations. The stability of the solution under the influence of noise in the input data is analyzed. It is observed that the approximate solutions converge to the exact solutions. Illustrative numerical examples are given to demonstrate the efficiency and simplicity of the proposed method in solving such types of systems of Abel’s integral equations.
Existence Of Solutions For A Wave Equation With Non-Monotone Nonlinearity And A Small Parameter, Jose F. Caicedo, Alfonso Castro, Rodrigo Duque
Existence Of Solutions For A Wave Equation With Non-Monotone Nonlinearity And A Small Parameter, Jose F. Caicedo, Alfonso Castro, Rodrigo Duque
All HMC Faculty Publications and Research
We provide sufficient conditions for the existence of solutions to a semilinear wave equation with non-monotone nonlinearity involving a small parameter. Our results are based on the analysis of a an operator that characterizes the projection onto the kernel of the wave operator subject to periodic-Dirichlet boundary conditions. Such a kernel is infinite dimensional which makes standard compactness arguments inapplicable.
Solitary, Explosive, Rational And Elliptic Doubly Periodic Solutions For Nonlinear Electron-Acoustic Waves In The Earth’S Magnetotail Region With Cold Electron Fluid And Isothermal Ions, S. A. El-Wakil, E. M. Abulwafa, M. A. Abdou, E. K. El-Shewy, H. M. Abd-El-Hamid
Solitary, Explosive, Rational And Elliptic Doubly Periodic Solutions For Nonlinear Electron-Acoustic Waves In The Earth’S Magnetotail Region With Cold Electron Fluid And Isothermal Ions, S. A. El-Wakil, E. M. Abulwafa, M. A. Abdou, E. K. El-Shewy, H. M. Abd-El-Hamid
Applications and Applied Mathematics: An International Journal (AAM)
A theoretical investigation has been made of electron acoustic wave propagating in unmagnetized collisionless plasma consisting of a cold electron fluid and isothermal ions with two different temperatures obeying Boltzmann type distributions. Based on the pseudo-potential approach, large amplitude potential structures and the existence of Solitary waves are discussed. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation for small but finite amplitude electrostatic waves. An algebraic method with computerized symbolic computation, which greatly exceeds the applicability of the existing tanh, extended tanh methods in obtaining a series of exact solutions of the KdV equation, is …
Dust-Acoustic Solitary Waves In Magnetized Dusty Plasma With Dust Opposite Polarity, S. A. El-Wakil, M. T. Attia, E. K. El-Shewy, S. K. Zaghbeer, H. G. Abdelwahed
Dust-Acoustic Solitary Waves In Magnetized Dusty Plasma With Dust Opposite Polarity, S. A. El-Wakil, M. T. Attia, E. K. El-Shewy, S. K. Zaghbeer, H. G. Abdelwahed
Applications and Applied Mathematics: An International Journal (AAM)
The nonlinear propagation of small but finite amplitude dust-acoustic solitary waves (DAWs) in magnetized collision less dusty plasma has been investigated. The fluid model is a four component magnetized dusty plasma, consisting of positive and negative dust species, isothermal electrons and ions in the presence of an external magnetic field. A reductive perturbation method was employed to obtain the Zakharov Kuznetsov (ZK) equation for the first-order potential. The effects of the presence of positively charged dust fluid, the external magnetic field, and the obliqueness are obtained. The results of the present investigation may be applicable to some plasma environments, such …
Analytic Investigation Of The Kp-Joseph-Egri Equation For Traveling Wave Solutions, N. Taghizadeh, M. Mirzazadeh
Analytic Investigation Of The Kp-Joseph-Egri Equation For Traveling Wave Solutions, N. Taghizadeh, M. Mirzazadeh
Applications and Applied Mathematics: An International Journal (AAM)
By means of the two distinct methods, the cosine-function method and the (G /G ) expansion method, we successfully performed an analytic study on the KP-Joseph-Egri (KP-JE) equation. We exhibited its further closed form traveling wave solutions which reduce to solitary and periodic waves.
Exact Optimal Solution Of Fuzzy Critical Path Problems, Amit Kumar, Parmpreet Kumar
Exact Optimal Solution Of Fuzzy Critical Path Problems, Amit Kumar, Parmpreet Kumar
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, a fuzzy critical path problem is chosen to show that the results, obtained by using the existing method [Liu, S.T.: Fuzzy activity times in critical path and project crashing problems. Cybernetics and Systems 34 (2), 161-172 (2003)], could be improved to reflect, more appropriate real life situations. To obtain more accurate results of fuzzy critical path problems, a new method that modifies the existing one is proposed here. To demonstrate the advantages of the proposed method it is used to solve a specific fuzzy critical path problem.
Exact Soliton Solutions For Second-Order Benjamin-Ono Equation, Nasir Taghizadeh, Mohammad Mirzazadeh, Foroozan Farahrooz
Exact Soliton Solutions For Second-Order Benjamin-Ono Equation, Nasir Taghizadeh, Mohammad Mirzazadeh, Foroozan Farahrooz
Applications and Applied Mathematics: An International Journal (AAM)
The homogeneous balance method is proposed for seeking the travelling wave solutions of the second-order Benjamin-Ono equation. Many exact traveling wave solutions of second-order Benjamin-Ono equation, which contain soliton like and periodic-like solutions are successfully obtained. This method is straightforward and concise, and it may also be applied to other nonlinear evolution equations.
Mathematical Modeling, A Small Step In A Right Direction, Reza D. Noubary
Mathematical Modeling, A Small Step In A Right Direction, Reza D. Noubary
Applications and Applied Mathematics: An International Journal (AAM)
Models developed by mathematicians/statisticians based on criterion such as goodness of fit often leads to a “best” model only for the data utilized. Moreover the parameters in such models often do not have physical interpretations and as such their validity cannot be checked by other means. This article makes argument against modeling processes that do not incorporate information from discipline related to the origin of data and presents an example to demonstrate benefits of doing so.
Budding Yeast, Branching Processes, And Generalized Fibonacci Numbers, Peter Olofsson, Ryan C. Daileda
Budding Yeast, Branching Processes, And Generalized Fibonacci Numbers, Peter Olofsson, Ryan C. Daileda
Mathematics Faculty Research
A real-world application of branching processes to a problem in cell biology where the generalized Fibonacci numbers known as k-nacci numbers play a crucial role is described. The k-nacci sequence is used to obtain asymptotics, computational formulas, and to justify certain practical simplifications. Along the way, an explicit formula for the sum of k-nacci numbers is established.
Algorithms To Solve Singularly Perturbed Volterra Integral Equations, Marwan T. Alquran, Bilal Khair
Algorithms To Solve Singularly Perturbed Volterra Integral Equations, Marwan T. Alquran, Bilal Khair
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we apply the Differential Transform Method (DTM) and Variational Iterative Method (VIM) to develop algorithms for solving singularly perturbed volterra integral equations (SPVIEs). The study outlines the significant features of the two methods. A comparison between the two methods for the solution of SPVIs is given for three examples. The results show that both methods are very efficient, convenient and applicable to a large class of problems.
Acms 18th Biennial Conference Proceedings, Association Of Christians In The Mathematical Sciences
Acms 18th Biennial Conference Proceedings, Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2011
Association of Christians in the Mathematical Sciences 18th Biennial Conference Proceedings, June 1-4, 2011, Westmont College, Santa Barbara, CA.
On The Sum Of Reciprocals Of Amicable Numbers, Jonathan Bayless, Dominic Klyve
On The Sum Of Reciprocals Of Amicable Numbers, Jonathan Bayless, Dominic Klyve
Mathematics Faculty Scholarship
Two numbers m and n are considered amicable if the sum of their proper divisors,
s(n) and s(m), satisfy s(n) = m and s(m) = n. In 1981, Pomerance showed that
the sum of the reciprocals of all such numbers, P, is a constant. We obtain both a
lower and an upper bound on the value of P.
Order Independence In Asynchronous Cellular Automata, Matthew Macauley, Jon Mccammond, Henning S. Mortveit
Order Independence In Asynchronous Cellular Automata, Matthew Macauley, Jon Mccammond, Henning S. Mortveit
Publications
A sequential dynamical system, or SDS, consists of an undirected graph Y, a vertex-indexed list of local functions F_Y, and a permutation pi of the vertex set (or more generally, a word w over the vertex set) that describes the order in which these local functions are to be applied. In this article we investigate the special case where Y is a circular graph with n vertices and all of the local functions are identical. The 256 possible local functions are known as Wolfram rules and the resulting sequential dynamical systems are called finite asynchronous elementary cellular automata, or ACAs, …
The Combinatorialization Of Linear Recurrences, Arthur T. Benjamin, Halcyon Derks, Jennifer J. Quinn
The Combinatorialization Of Linear Recurrences, Arthur T. Benjamin, Halcyon Derks, Jennifer J. Quinn
All HMC Faculty Publications and Research
We provide two combinatorial proofs that linear recurrences with constant coefficients have a closed form based on the roots of its characteristic equation. The proofs employ sign-reversing involutions on weighted tilings.
Asymptotic Properties Of Stochastic Partial Differential Equations In Hilbert Spaces Driven By Non-Gaussian Noise, V Mandrekar, Li Wang
Asymptotic Properties Of Stochastic Partial Differential Equations In Hilbert Spaces Driven By Non-Gaussian Noise, V Mandrekar, Li Wang
Communications on Stochastic Analysis
No abstract provided.
On The Value Of Stochastic Differential Games, Wendell H Fleming, Daniel Hernández-Hernández
On The Value Of Stochastic Differential Games, Wendell H Fleming, Daniel Hernández-Hernández
Communications on Stochastic Analysis
No abstract provided.
An Extension Of Bifractional Brownian Motion, Xavier Bardina, Khalifa Es-Sebaiy
An Extension Of Bifractional Brownian Motion, Xavier Bardina, Khalifa Es-Sebaiy
Communications on Stochastic Analysis
No abstract provided.
Cdo Tranche Sensitivities In The Gaussian Copula Model, Chao Meng, Ambar N Sengupta
Cdo Tranche Sensitivities In The Gaussian Copula Model, Chao Meng, Ambar N Sengupta
Communications on Stochastic Analysis
No abstract provided.
Integration By Parts Formula And The Stein Lemma On Abstract Wiener Space, Hui-Hsiung Kuo, Yuh-Jia Lee
Integration By Parts Formula And The Stein Lemma On Abstract Wiener Space, Hui-Hsiung Kuo, Yuh-Jia Lee
Communications on Stochastic Analysis
No abstract provided.
Erratum: Absolute Continuity Of Laws For Semilinear Stochastic Equations With Additive Noise (Cosa, Vol. 2, No. 2 (2008) 209–227) [Mr2446690], Benedetta Ferrario
Erratum: Absolute Continuity Of Laws For Semilinear Stochastic Equations With Additive Noise (Cosa, Vol. 2, No. 2 (2008) 209–227) [Mr2446690], Benedetta Ferrario
Communications on Stochastic Analysis
No abstract provided.
Robustness Of Option Prices And Their Deltas In Markets Modelled By Jump-Diffusions, Fred Espen Benth, Giulia Di Nunno, Asma Khedher
Robustness Of Option Prices And Their Deltas In Markets Modelled By Jump-Diffusions, Fred Espen Benth, Giulia Di Nunno, Asma Khedher
Communications on Stochastic Analysis
No abstract provided.
Dynamics Of A Stochastic Predator-Prey Model With The Beddington-Deangelis Functional Response, Ta Viet Ton, Atsushi Yagi
Dynamics Of A Stochastic Predator-Prey Model With The Beddington-Deangelis Functional Response, Ta Viet Ton, Atsushi Yagi
Communications on Stochastic Analysis
No abstract provided.