The History Of The Area Between A Line And A Parabola,
2011
Ashland University
The History Of The Area Between A Line And A Parabola, Gordon A. Swain
ACMS Conference Proceedings 2011
This is a review of various methods used by many mathematicians to determine the area of the segment bounded by a parabola and a line. We include descriptions of proofs from the Greek period (Archimedes), the Arabic period (ibn Qurra and ibn Sinan), and the 1600's in European (Galileo, Roberval, Fermat and Wallis, among others), in order to display the changing nature of mathematics.
Pascal’S Thoughts Seen In The Light Of Scripture,
2011
Polytechnic University of Timișoara
Pascal’S Thoughts Seen In The Light Of Scripture, Loredana Ciurariu
ACMS Conference Proceedings 2011
In this paper we study Pascal’s character via his writings. There are indications that his health might have deteriorated following the experiments he had done using mercury. He talks in his Pensées about faith, grace and purity of the heart, about the peoples and the way in which God leads them, about wisdom, dreams and hopes and that which lies in the human heart. If a statistics was done concerning the most used books and verses from the Bible in Pensées, these would be: Ecclesiastes, Proverbs, Matthew, Mark, Jeremiah, Hebrews, Romans, Luke, Isaiah, Psalms. But those which occupy a central …
Two Faith Integration Projects For Freshman Majors,
2011
George Fox University
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.
The Search For Hamilton,
2011
Bethel University
The Search For Hamilton, Eric Gossett
ACMS Conference Proceedings 2011
In July and August of 2009 my wife and I went on a four-week trip to Scotland and Ireland. We would be visiting Dublin, so I decided that we should visit the famous bridge where William Rowan Hamilton carved the equations for the quaternions. The task was not as simple as I had assumed. This paper gives some details of the search.
Where, Oh Waring? The Classic Problem And Its Extensions,
2011
Presbyterian College
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.
Connecting Mathematics Students To Philosophy And Faith,
2011
Whitworth University
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.
Paper Abstracts (2011),
2011
Taylor University
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
Introduction (2011),
2011
Westmont College
Introduction (2011), Russell Howell
ACMS Conference Proceedings 2011
Eighteenth Conference of the Association of Christians in the Mathematical Sciences
Table Of Contents (2011),
2011
Taylor University
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),
2011
Taylor University
Schedule (2011), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2011
Eighteenth Conference of the Association of Christians in the Mathematical Sciences
Analysis Of Roms Estimated Posterior Error Utilizing 4dvar Data Assimilation,
2011
California Polytechnic State University, San Luis Obispo
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 …
Reliability Analysis Of A Series And Parallel Network Using Triangular Intuitionistic Fuzzy Sets,
2011
C.C.S. University
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
A New Hermite Collocation Method For Solving Differential Difference Equations,
2011
Mugla University
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
On Temporal Instability Of Electrically Forced Axisymmetric Jets With Variable Applied Field And Nonzero Basic State Velocity,
2011
The University of Texas-Pan American
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 …
New Computational Algorithms For Analyzing The Stability Of The Differential Equations System,
2011
University of Guilan
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.
Local Estimates For The Koornwinder Jacobi-Type Polynomials,
2011
University of Prishtin
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.
Improved G'/G-Expansion Method And Comparing With Tanh-Coth Method,
2011
University of Guilan
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.
The Multisoliton Solutions Of Some Nonlinear Partial Differential Equations,
2011
University of Guilan
The Multisoliton Solutions Of Some Nonlinear Partial Differential Equations, N. Taghizadeh, M. Mirzazadeh
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we obtain multisoliton solutions of the Camassa-Holm equation and the Joseph- Egri (TRLW) equation by using the formal linearization method. The formal linearization method is an efficient instrument for constructing multisoliton solution of some nonlinear partial differential equations. This method can be applied to nonintegrable equations as well as to integrable ones.
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,
2011
Mansoura University
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,
2011
Mansoura University
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 …
