Advances in Mathematics Research. Volume 33


Albert R. Baswell (Editor)

Series: Advances in Mathematics Research
BISAC: MAT027000

This volume includes eight chapters that discuss recent advancements in mathematics research. Chapter One introduces hybrid direction, which is a new method for solving linear programming problems. Chapter Two reviews the theory of p-adic Galois representations and analyzes examples of the ones arriving from elliptic curves. Chapter Three investigates the structure of bicyclic rings and describes some of their properties. Chapter Four presents a numerical simulation of the atmospheric boundary layer related to experiments for stable atmospheric conditions. Chapter Five explains the Extreme Physical-Information (EPI) principle of physics. Chapter Six introduces numerical methods for solving ordinary differential equations with fractional derivatives. Chapter Seven provides a deeper understanding of the phase of the quaternion number and its relation to fluctuation. Lastly, Chapter Eight discusses pension funds, specifically ones that are not auto financed.

Table of Contents


Chapter 1. Hybrid Direction Methods for Linear Programming and Applications
Mohand Ouamer Bibi1, Mohand Bentobache1,2, Khalil Djeloud1,2 and Rima Guerbane1
1LaMOS Research Unit (Modeling and Optimization of Systems),University of Bejaia, Bejaia, Algeria
2Laboratory of Pure and Applied Mathematics, University of Laghouat, Laghouat, Algeria

Chapter 2. ρ-adic Galois Representations Attached to Elliptic Curves
Radu Gaba
Institute of Mathematics ”Simion Stoilow” of the Romanian Academy, Bucharest, Romania

Chapter 3. Bicyclic Rings
Joseph Bayara and Baba Philippe Dakouo
Département de Mathématiques et Informatique, Université Nazi BONI, Bobo-Dioulasso

Chapter 4. The Simplified k – E Turbulence Model Applied to the Numerical Simulation of the Stable Atmospheric Boundary Layer
Darci Luiz Savicki and Antonio Goulart
Institute of Mathematics, Statistics and Physics, FURG, Rio Grande, RS, Brazil

Chapter 5. Extreme Physical-Information Principle and Property Networking
Roman F. Nalewajski
Department of Theoretical Chemistry, Jagiellonian University, Cracow, Poland

Chapter 6. Numerical Methods for Solving the Cauchy Problem for Ordinary Differential Equations with Fractional Derivatives
Alexander A. Potapov1,2, Vetlugin D. Beybalaev3,4 and Abutrab A. Aliverdiev3,4
1V. A. Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow, Russia
2JNU-IREE RAS Joint Laboratory of Information Technology and Fractal Processing of Signals, Jinan University, Guangzhou, China
3Institute for Geothermal Researches and Renewable Energy – A Branch of the Joint Institute for High Temperatures, Russian Academy of Sciences, Makhachkala, Russia
4Dagestan State University, Makhachkala, Russia

Chapter 7. Quaternion in Stochastic Population Dynamics
Liaofu Luo1, PhD and Jun Lv2, PhD
1Faculty of Physical Science and Technology, Inner Mongolia University, Hohhot, Inner Mongolia Autonomous Region, China
2College of Sciences, Inner Mongolian University of Technology, Hohhot, Inner Mongolia Autonomous Region, China

Chapter 8. The Study of Maintenance Costs of Non-Autonomous Pension Funds through a Diffusion Process
Manuel Alberto M. Ferreira
Instituto Universitário de Lisboa (ISCTE – IUL), ISTAR- IUL, Lisboa, Portugal


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