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Articles 5341 - 5370 of 7997

Full-Text Articles in Physical Sciences and Mathematics

A Bayesian Secondary Analysis In An Asthma Study, Samuel P. Wilcock, Vernon M. Chinchilli, Stephen P. Peters Jun 2011

A Bayesian Secondary Analysis In An Asthma Study, Samuel P. Wilcock, Vernon M. Chinchilli, Stephen P. Peters

ACMS Conference Proceedings 2011

A recent study published in the New England Journal of Medicine by the Asthma Clinical Research Network (ACRN) compared three different treatments for their effectiveness in treating adults with uncontrolled asthma. This paper will describe the study design and its results, then detail the beginnings of a secondary analysis using Bayesian methods to estimate the parameters of interest. The methods will be explained, and the preliminary estimates given and contextualized. The paper will conclude with a discussion of the next steps and the goals for further analysis of the data in this study.

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Math History Study Abroad Program: Learning Math History In A Cultural Context, Donna Pierce Jun 2011

Math History Study Abroad Program: Learning Math History In A Cultural Context, Donna Pierce

ACMS Conference Proceedings 2011

In January 2011 fifteen Whitworth University mathematics students and I, their professor, traveled through Europe to study the history of mathematics. The goal was to gain an understanding of how mathematical ideas have developed over time; how social, cultural and historical factors have influenced the development of mathematics and conversely, how mathematics contributed to society and human culture. Over a course of three weeks we traveled to three countries and over a half dozen cities, viewing the tools, papers and workbooks or these mathematicians, seeing their engineering and artistic creations, and learning from local experts as they guided us through …

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Two Faith Integration Projects For Freshman Majors, Nicholas J. Willis Jun 2011

Two Faith Integration Projects For Freshman Majors, Nicholas J. Willis

ACMS Conference Proceedings 2011

Two projects will be presented that integrate faith and Mathematics in a freshman Introduction to Proofs class at George Fox University. The first project asks students to look at the life of a Christian Mathematician. The focus of this project is to show students that many great mathematicians also had immense faith. The second project asks students to take a close look at their own life. How do they plan to live a life of Christian faith in their chosen profession? Both projects are designed to encourage students to look at their careers in Mathematics as a vocation.

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Connecting Mathematics Students To Philosophy And Faith, Nathan Moyer Jun 2011

Connecting Mathematics Students To Philosophy And Faith, Nathan Moyer

ACMS Conference Proceedings 2011

This paper describes a class project that helps students wrestle with the deep philosophical questions of mathematics in a relevant way. Through article readings and group discussions, various historical views of mathematical philosophy are examined and critiqued. An emphasis is placed upon students making meaningful connections between their own views of mathematics and their personal Christian faith or worldview.

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Using Original Historical Mathematics Texts In The Classroom, Maria Zack Jun 2011

Using Original Historical Mathematics Texts In The Classroom, Maria Zack

ACMS Conference Proceedings 2011

Incorporating information from the history of mathematics into undergraduate mathematics courses is an effective way to help students make connections between the mathematics they are learning and their general education courses. It also helps students to see mathematics as living subject that has changed over time. One way to introduce historical topics into a variety of classes is through the use of original mathematical texts. This paper describes how non-experts can make use of original texts and provides sources for identifying candidate texts.

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The Study Of Mathematics: A Text From A Christian Perspective, Doug Phillippy Jun 2011

The Study Of Mathematics: A Text From A Christian Perspective, Doug Phillippy

ACMS Conference Proceedings 2011

This paper examines the integration of the Christian faith with the teaching of mathematical texts using the author’s textbook, The Study of Mathematics: Developing a mature understanding of mathematical thought, with consideration of Christian faith and vocation.

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Where, Oh Waring? The Classic Problem And Its Extensions, Brian D. Beasley Jun 2011

Where, Oh Waring? The Classic Problem And Its Extensions, Brian D. Beasley

ACMS Conference Proceedings 2011

This paper will sketch brief outlines of Edward Waring’s life and the history behind the eventual solution to his famous conjecture about expressing positive integers as the sum of kth powers. In addition, it will present some of the related questions currently being studied, such as expressing sufficiently large integers as sums of powers, sums of powers of primes, and sums of unlike powers.

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Paper Abstracts (2011), Association Of Christians In The Mathematical Sciences Jun 2011

Paper Abstracts (2011), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2011

Eighteenth Conference of the Association of Christians in the Mathematical Sciences

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Introduction (2011), Russell Howell Jun 2011

Introduction (2011), Russell Howell

ACMS Conference Proceedings 2011

Eighteenth Conference of the Association of Christians in the Mathematical Sciences

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Schedule (2011), Association Of Christians In The Mathematical Sciences Jun 2011

Schedule (2011), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2011

Eighteenth Conference of the Association of Christians in the Mathematical Sciences

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Table Of Contents (2011), Association Of Christians In The Mathematical Sciences Jun 2011

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

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Analysis Of Roms Estimated Posterior Error Utilizing 4dvar Data Assimilation, Joseph Patrick Horton Jun 2011

Analysis Of Roms Estimated Posterior Error Utilizing 4dvar Data Assimilation, Joseph Patrick Horton

Mathematics

The appropriateness of the approximate error calculated by the Regional Ocean Modeling System (ROMS) is analyzed using Four-Dimensional Data Assimilation (4DVAR) performed on a numerical model of the San Luis Obispo Bay. An effective method of sampling data to minimize the actual error associated with the assimilated numerical model is explored by using different data sampling methods. An idealized state of the SLO bay region ("Real Run") is created to be used as the real ocean, then a numerical model of this region is created approximating this Real Run; this is known as the "Simulated State". By taking samples from …

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Constraint Qualifications And Optimality Conditions For Nonconvex Semi-Infinite And Infinite Programs, Boris S. Mordukhovich, T T. A. Nghia Jun 2011

Constraint Qualifications And Optimality Conditions For Nonconvex Semi-Infinite And Infinite Programs, Boris S. Mordukhovich, T T. A. Nghia

Mathematics Research Reports

The paper concerns the study of new classes of nonlinear and nonconvex optimization problems of the so-called infinite programming that are generally defined on infinite-dimensional spaces of decision variables and contain infinitely many of equality and inequality constraints with arbitrary (may not be compact) index sets. These problems reduce to semi-infinite programs in the case of finite-dimensional spaces of decision variables. We extend the classical Mangasarian-Fromovitz and Farkas-Minkowski constraint qualifications to such infinite and semi-infinite programs. The new qualification conditions are used for efficient computing the appropriate normal cones to sets of feasible solutions for these programs by employing advanced …

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Reliability Analysis Of A Series And Parallel Network Using Triangular Intuitionistic Fuzzy Sets, D. Pandey, S. K. Tyagi, Vinesh Kumar Jun 2011

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

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A New Hermite Collocation Method For Solving Differential Difference Equations, Mustafa Gülsu, Hatice Yalman, Mehmet Sezer Jun 2011

A New Hermite Collocation Method For Solving Differential Difference Equations, Mustafa Gülsu, Hatice Yalman, Mehmet Sezer

Applications and Applied Mathematics: An International Journal (AAM)

The purpose of this study is to give a Hermite polynomial approximation for the solution of mth order linear differential-difference equations with variable coefficients under mixed conditions. For this purpose, a new Hermite collocation method is introduced. This method is based on the truncated Hermite expansion of the function in the differential-difference equations. Hence, the resulting matrix equation can be solved and the unknown Hermite coefficients can be found approximately. In addition, examples that illustrate the pertinent features of the method are presented and the results of the study discussed

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Relativistic Gravitational Potential Energy And General Free Fall: A Fundamental Topic In Physics, Jorge A. Franco Jun 2011

Relativistic Gravitational Potential Energy And General Free Fall: A Fundamental Topic In Physics, Jorge A. Franco

Jorge A Franco

In this paper, we derived expressions of the relativistic potential energy for radial, circular and general curvilinear motion of a mass under the influence of a gravitational field, and the equivalence relationship between velocity and radius in each case. Also it was obtained the influence of altitude on time, mass, length and other physical magnitudes for circular and general curvilinear motion, and for the static case or radial.

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Relativistic Analysis Of Doppler Effect And Aberration Based On Vectorial Lorentz Transformations, Jorge A. Franco Jun 2011

Relativistic Analysis Of Doppler Effect And Aberration Based On Vectorial Lorentz Transformations, Jorge A. Franco

Jorge A Franco

In this paper, we derived more general and correct expressions for the Relativistic Doppler and Aberration effect.

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Acms 18th Biennial Conference Proceedings, Association Of Christians In The Mathematical Sciences Jun 2011

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.

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On Temporal Instability Of Electrically Forced Axisymmetric Jets With Variable Applied Field And Nonzero Basic State Velocity, Dambaru Bhatta, Sayantan Das, Daniel N. Riahi Jun 2011

On Temporal Instability Of Electrically Forced Axisymmetric Jets With Variable Applied Field And Nonzero Basic State Velocity, Dambaru Bhatta, Sayantan Das, Daniel N. Riahi

Applications and Applied Mathematics: An International Journal (AAM)

The problem of instability of electrically forced axisymmetric jets with respect to temporally growing disturbances is investigated computationally. We derive a dispersion relation based on the relevant approximated versions of the equations of the electro-hydrodynamics for an electrically forced jet flow. For temporal instability, we find in the realistic cases of the non-zero basic state velocity that the growth rate of the unstable mode is unaffected by the value of the basic state velocity. However, the non-zero value of the basic state velocity affects significantly the period of the unstable mode in the sense that it decreases the period, and …

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New Computational Algorithms For Analyzing The Stability Of The Differential Equations System, H. S. Najafi, A. H. Refahi Sheikhani Jun 2011

New Computational Algorithms For Analyzing The Stability Of The Differential Equations System, H. S. Najafi, A. H. Refahi Sheikhani

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we show how to improve the approximate solution of the large Lyapunov equation obtained by an arbitrary method. Moreover, we propose a new method based on refinement process and Weighted Arnoldi algorithm for solving large Lyapunov matrix equation. Finally, some numerical results will be reported to illustrate the efficiency of the proposed method.

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Local Estimates For The Koornwinder Jacobi-Type Polynomials, Valmir Krasniqi, Naim L. Braha, Armend S. Shabani Jun 2011

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.

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Exact Travelling Wave Solutions For Konopelchenko-Dubrovsky Equation By The First Integral Method, N. Taghizadeh, M. Mirzazadeh Jun 2011

Exact Travelling Wave Solutions For Konopelchenko-Dubrovsky Equation By The First Integral Method, N. Taghizadeh, M. Mirzazadeh

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, the first integral method is used to construct exact travelling wave solutions of Konopelchenko-Dubrovsky equation. The first integral method is algebraic direct method for obtaining exact solutions of nonlinear partial differential equations. This method can be applied to non-integrable equations as well as to integrable ones. This method is based on the theory of commutative algebra.

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Shooting Neural Networks Algorithm For Solving Boundary Value Problems In Odes, Kais I. Ibraheem, Bashir M. Khalaf Jun 2011

Shooting Neural Networks Algorithm For Solving Boundary Value Problems In Odes, Kais I. Ibraheem, Bashir M. Khalaf

Applications and Applied Mathematics: An International Journal (AAM)

The objective of this paper is to use Neural Networks for solving boundary value problems (BVPs) in Ordinary Differential Equations (ODEs). The Neural networks use the principle of Back propagation. Five examples are considered to show effectiveness of using the shooting techniques and neural network for solving the BVPs in ODEs. The convergence properties of the technique, which depend on the convergence of the integration technique and accuracy of the interpolation technique are considered.

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Improved G'/G-Expansion Method And Comparing With Tanh-Coth Method, Jafar Biazar, Zainab Ayati Jun 2011

Improved G'/G-Expansion Method And Comparing With Tanh-Coth Method, Jafar Biazar, Zainab Ayati

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, improved G'/G-expansion and tanh-coth methods for solving partial differential equations are compared. It has been shown that the tanh-coth method is a special case of the improved G'/G-expansion method. For illustration and more explanation of the idea, exact solutions of the Burgers and Boussinesq equations are obtained by improved G'/G-expansion and the results obtained compared with those of tanh-coth method.

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Multidimensional Inverse Boundary Value Problem For A System Of Hyperbolic Equations, M. A. Guliev, E. M. El-Hadidi Jun 2011

Multidimensional Inverse Boundary Value Problem For A System Of Hyperbolic Equations, M. A. Guliev, E. M. El-Hadidi

Applications and Applied Mathematics: An International Journal (AAM)

In the paper we investigate the solvability of the inverse multidimensional boundary value problem for the system of hyperbolic type equations. A method is proposed to reduce the considered problem to some non infinite system of differential equations. The proposed method allows one to prove the existence and uniqueness theorems for the multidimensional inverse boundary value problems in the class of the functions with bounded smoothness.

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Inverse Heat Conduction Problem In A Semi-Infinite Cylinder And Its Thermal Stresses By Quasi-Static Approach, K. C. Deshmukh, S. D. Warbhe, G. D. Kedar, V. S. Kulkarni Jun 2011

Inverse Heat Conduction Problem In A Semi-Infinite Cylinder And Its Thermal Stresses By Quasi-Static Approach, K. C. Deshmukh, S. D. Warbhe, G. D. Kedar, V. S. Kulkarni

Applications and Applied Mathematics: An International Journal (AAM)

The present paper deals with the determination of unknown temperature and thermal stresses on the curved surface of a semi-infinite circular cylinder defined as 0 ≤ r ≤ a , 0 ≤ z ≤ ∞. The circular cylinder is subjected to an arbitrary known temperature under unsteady state condition. Initially, the cylinder is at zero temperature and temperature at the lower surface is held fixed at zero. The governing heat conduction equation has been solved by using the integral transform method. The results are obtained in series form in terms of Bessel’s functions. A mathematical model has been constructed for …

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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 Jun 2011

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 …

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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 Jun 2011

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 …

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Positive Solutions For Nth Order Differential Equations Under Some Conditions, S. N. Odda Jun 2011

Positive Solutions For Nth Order Differential Equations Under Some Conditions, S. N. Odda

Applications and Applied Mathematics: An International Journal (AAM)

This paper presents an existence and nonexistence of positive solutions for the nonlinear boundary value problems. We prove that the nth order nonlinear differential equation has at least one positive solution by using appropriate fixed point theorems.

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Analytic Investigation Of The Kp-Joseph-Egri Equation For Traveling Wave Solutions, N. Taghizadeh, M. Mirzazadeh Jun 2011

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.

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