Advances in Mathematics and Computer Science Vol. 2

Authors

Prof. Dr. Hari Mohan Srivastava, (Editor)

Emeritus Professor, Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada.

Profile Link: http://www.math.uvic.ca/~harimsri

Eugeny Smirnov

Yaroslavl State Pedagogical University, 150000, Yaroslavl, Respublikanskaya, 108/1, Russia.

Anca-Elena Iordan

Department of Electrical Engineering and Industrial Informatics, Engineering Faculty of Hunedoara, Polytechnic University Timisoara, Romania.

Sushomita Mohanta

Department of Mathematics, Utkal University, Vani-Vihar, Bhubaneswar-751004, India.

Moshe Stupel

"Gordon” and “Shaanan”-Academic College, Haifa, Israel and “Shaanan”-Academic College, Haifa, Israel.

Avi Sigler

“Shaanan”-Academic College, Haifa, Israel.

Géraud F. Hounkpatin

Département de Physique (FAST) et Formation Doctorale Sciences des Matériaux (FDSM), Université d’Abomey-Calavi, Bénin and Laboratoire de Physique du Rayonnement LPR, FAST-UAC, 01 BP 526 Cotonou, Bénin.

Macaire Agbomahéna

Laboratoire de Physique du Rayonnement LPR, FAST-UAC, 01 BP 526 Cotonou, Bénin and Laboratoire de Caractérisation Thermophysique des Matériaux et Appropriation Energétique (Labo CTMAE/EPAC/UAC), Abomey-Calavi, Bénin.

Basile B. Kounouhéwa

Département de Physique (FAST) et Formation Doctorale Sciences des Matériaux (FDSM), Université d’Abomey-Calavi, Bénin, Laboratoire de Physique du Rayonnement LPR, FAST-UAC, 01 BP 526 Cotonou, Bénin and Centre Béninois de la Recherche Scientifique et Technique (CBRST), 03 BP 1665 Cotonou, Bénin.

Vianou I. Madogni

Antoine Vianou

Laboratoire de Caractérisation Thermophysique des Matériaux et Appropriation Energétique (Labo CTMAE/EPAC/UAC), Abomey-Calavi, Bénin.

Cossi N. Awanou

Ali Muhammad Ali Rushdi

Department of Electrical and Computer Engineering, King Abdulaziz University, P.O.Box 80204, Jeddah, 21589, Kingdom of Saudi Arabia.

Fayez Ahmad Talmees

Department of Electrical and Computer Engineering, King Abdulaziz University, P.O.Box 80204, Jeddah, 21589, Kingdom of Saudi Arabia.

Shkelzen Cakaj

Post and Telecommunication of Kosovo, Prishtina, Kosovo, Faculty of Electrical and Computing Engineering, University of Prishtina, Kosovo and Faculty of Information Technology, Polytechnic University of Tirana, Albania.

Mustafa Avci

Department of Science, Grande Prairie Regional College, Grande Prairie, AB T8W 0A8, Canada.

O. C. Akeremale

Department of Mathematics, Federal University Lafia, P.M.B. 146, Lafia, Nasarawa State, Nigeria.

O. Olotu

Department of Mathematical Sciences, Federal University of Technology, P.M.B. 704, Akure, Ondo State, Nigeria.

O. A. Olaiju

Department of Mathematics and Statistics, Federal Polytechnics, Ilaro, P.M.B. 50, Ogun State, Nigeria.

Omar Mohammed Ba-Rukab

Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, P.O.Box 344, Rabigh 21911, Saudi Arabia.

Hasibun Naher

Department of Mathematics and Natural Sciences, BRAC University, 66 Mohakhali, Dhaka 1212, Bangladesh.

Synopsis

This book covers all areas of mathematics and computer science. The contributions by the authors include diagnostic testing, conditional probability, natural frequency, signal flow graph, trinomial graph, epidemiology, Boolean-based probability, heuristics function, hamming distance, manhattan distance, chebyshev distance, optimal solution, trapezoidal rule, augmented lagrangian, conjugate gradient method, difference sequence space, lacunary sequence, Luxemburg norm, uniform opial property, Fatou property, Banach Saks of type p, relations between magnitudes in a right-angled triangle, dynamic investigation in a right-angled triangle, p-Laplacian, variational approach, monotone operator method, quasilinear elliptic equation, Sobolev spaces, quantum efficiency, thermoelectric module, Seebeck mode, temperature distribution, thermal conductivity, satellite, exact solutions, The Hirota-Satsuma coupled KdV equations, auxiliary equation, nonlinear ordinary differential equation, traveling wave solutions, Homological methods, holomorphic functions, Weierstrass’s global division theorem, closed graph theorem, H –space, Banzhaf index, conventional Karnaugh map etc. This book contains various materials suitable for students, researchers and academicians in the field of mathematics and computer science.

Chapters

Chapter 1
Weierstrass’s Global Division Theorem and Continuity of Linear Operators in H-spaces

Eugeny Smirnov
Chapter 2
Comparative Analysis of Four Heuristic Functions that Optimizes the A* Search Algorithm

Anca-Elena Iordan
Chapter 3
Some Geometric Properties of a Generalized Difference Sequence Space Involving Lacunary Sequence

Sushomita Mohanta
Chapter 4
Relations between Various Magnitudes Which Serve as Signs of a Right-angled Triangle

Moshe Stupel, Avi Sigler
Chapter 5
Analytical Modeling of the Thermoelectric Effect in Photovoltaic Cells: Combined Solar Photovoltaic and Thermoelectric Generator System (PV+TEG)

Géraud F. Hounkpatin, Macaire Agbomahéna, Basile B. Kounouhéwa, Vianou I. Madogni, Antoine Vianou, Cossi N. Awanou
Chapter 6
Computations of the Eight Basic Measures in Diagnostic Testing

Ali Muhammad Ali Rushdi, Fayez Ahmad Talmees
Chapter 7
Performance Evaluation for Local User Terminals Dedicated for Search and Rescue Services from LEO Satellites

Shkelzen Cakaj
Chapter 8
Nontrivial Weak Solutions of a Quasilinear Equation Involving p-Laplace Operator

Mustafa Avci
Chapter 9
Augmented Lagrangian Method for One Dimensional Optimal Control Problems Governed by Delay Differential Equation

O. C. Akeremale, O. Olotu, O. A. Olaiju
Chapter 10
Translation of Weighted Voting Concepts to the Boolean Domain: The Case of the Banzhaf Index

Ali Muhammad Ali Rushdi, Omar Mohammed Ba-Rukab
Chapter 11
Analytical Approach to Obtain Some New Traveling Wave Solutions of Coupled Systems of Nonlinear Equations

Hasibun Naher