Advances in Mathematics Research. Volume 34

$250.00

Albert R. Baswell (Editor)

Series: Advances in Mathematics Research
BISAC: MAT027000
DOI: https://doi.org/10.52305/XZDP5100

This volume contains eight chapters that detail advances in mathematics research. Chapter One discusses the development and analysis of heuristic and metaheuristic methods for solving optimization problems of cutting and packing. Chapter Two details virial energy components, extreme physical information, and property flows in communication networks. Chapter Three explores two functions of molecular information systems, consecutive (cascade) and simultaneous (combination). Chapter Four considers the expressions of a digital-to-analog piezo converter-actuator using the equations of reverse piezo effect and the ordinary linear differential equation of the second order. Chapter Five discusses large regression modeling under Lp-Norm loss function. Chapter Six explains cyclic evolutions in nonrelativistic quantum mechanics and geometric phases. Chapter Seven investigates the HIV/AIDS epidemic model using stability and Lie symmetry analysis. Lastly, Chapter Eight examines a SIRD (Susceptible, Infected, Recovered,Dead) epidemic model via the lens of Lie symmetry analysis.

Table of Contents

Preface

Chapter 1. The Application of Heuristic and Metaheuristic Algorithms in Packing Problems
Chekanin Vladislav A.1,2 and Chekanin Alexander V.3
1Department of Management and Informatics in Technical Systems, Moscow State University of Technology «STANKIN», Moscow, Russia
2Computer Graphics Laboratory, V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences (ICS RAS), Moscow, Russia
3Department of Theoretical Mechanics and Strength of Materials, Moscow State University of Technology «STANKIN», Moscow, Russia

Chapter 2. Virial Energy Components, Extreme Physical Information and Property Flows in Communication Networks
Roman F. Nalewajski
Department of Theoretical Chemistry, Jagiellonian University, Cracow, Poland

Chapter 3. Molecular Information Systems: The Separation of Communication Networks from Its Usage
Roman F. Nalewajski
Department of Theoretical Chemistry, Jagiellonian University, Cracow, Poland

Chapter 4. A Digital-to-Analog Piezo Converter-Actuator for Micro and Nano-Manipulators in Nanotechnology
S. M. Afonin, PhD
National Research University of Electronic Technology (Moscow Institute of Electronic Technology MIET), Moscow, Russia
Chapter DOI: https://doi.org/10.52305/RZOE1743

Chapter 5. Large Regression Modelling Under Lp-Norm Loss Function
Swati Shukla and Subhra Sankar Dhar Shalabh
Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, India

Chapter 6. Cyclic Evolutions in Nonrelativistic Quantum Mechanics and Geometric Phases
Paul Bracken
Department of Mathematics, University of Texas, Edinburg, TX

Chapter 7. Lie Symmetry and Stability Analyses of a Mathematical Model Describing HIV Transmission
Maba Boniface Matadi
Department of Mathematical Sciences, University of Zululand, Private Bag X1001, KwaDlangeZwa, South Africa

Chapter 8. Symmetry Reductions and Explicit Solutions of a Nonlinear SIRD Model
Maba Boniface Matadi
Department of Mathematical Sciences, University of Zululand, Private Bag X1001, KwaDlangeZwa, South Africa

Index

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