Theory and Practice of Mathematics and Computer Science Vol. 3

Authors

Dr. Narayan Thapa, (Editor)

Associate Professor, Department of Mathematical Sciences, Cameron University, Lawton, OK, USA.

Daniela Oliveira

Instituto de Telecomunicações (IT), Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal.

Rodolfo Oliveira

Instituto de Telecomunicações (IT), Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal and Departamento de Engenharia Electrotécnica e de Computadores, Faculdade de Ciências e Tecnologia (FCT), Universidade Nova de Lisboa, 2829-516 Costa da Caparica, Portugal.

Samy M. Mostafa

Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt.

Fatema F. Kareem

Department of Mathematics, Ibn-Al-Haitham College of Education, University of Baghdad, Iraq.

Messaoudi Khelifa

Department of Mathematics, Faculty of MI, University of Batna 2, 05000, Algeria.

Pon Sundar

Om Muruga College of Arts and Science, Mettur, Salem - 636 303, Tamil Nadu, India.

B. Kishokkumar

Department of Mathematics, Paavai Engineering College (Autonomous), Namakkal - 637 018, Tamil Nadu, India.

K. Revathi

Department of Mathematics, Sri Sarada Niketan College of Arts and Science, Salem - 636 354, Tamil Nadu, India.

Haixia Cui

School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou, China.

Wanmei Feng

School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou, China.

Supriya Mukherjee

Department of Mathematics, Gurudas College, 1/1 Suren Sarkar Road, Narkeldanga, Kolkata - 700054, West Bengal, India.

Banamali Roy

Department of Mathematics, Bangabasi Evening College, 19, Rajkumar Chakraborty Sarani, Kolkata - 700009, West Bengal, India.

J. C. Ferrando

Centro de Investigación Operativa, Universidad Miguel Hernández, E-03202 Elche, Spain.

S. López-Alfonso

Departamento de Construcciones Arquitectónicas, Universitat Politècnica de València, E-46022 Valencia, Spain.

M. López-Pellicer

Departamento de Matemática Aplicada and IUMPA. Universitat Politècnica de València, E-46022 Valencia, Spain.

Do Tan Si

Ho Chi Minh-city Physical Association, Vietnam and Université libre de Bruxelles, UEM, Belgium.

Iickho Song

School of Electrical Engineering, Korea Advanced Institute of Science and Technology, Daejeon 34141 Korea and Liangjiang International College, Chongqing University of Technology, Chongqing 401135 China.

Seungwon Lee

Modem Development Team, SOC Development, System LSI Business Department, Samsung Electronics, Hwaseong-si, Gyeonggi-do 18448 Korea.

So Ryoung Park

School of Information, Communications, and Electronics Engineering, The Catholic University of Korea, Bucheon 14662 Korea.

Seokho Yoon

College of Information and Communication Engineering, Sungkyunkwan University, Suwon 16419 Korea.

Fatheah Ahmed Hendi

Department of Mathematics, Faculty of Science, King Abdul Aziz University, Jeddah, KSA.

Manal Mohamed Al-Qarni

Department of Mathematics, Faculty of Science, King Khalid University, Abha, KSA.

Debajit Sensarma

Department of Computer Science, Vivekananda Mission Mahavidyalaya, Vidyasagar University, India.

Samar Sen Sarma

Department of Computer Science & Engineering, University of Calcutta, Kolkata, India.

Hira Narang

Computer Science Department, Tuskegee University, Tuskegee, Alabama, USA.

Fan Wu

Computer Science Department, Tuskegee University, Tuskegee, Alabama, USA.

Abdul Rafae Mohammed

Computer Science Department, Tuskegee University, Tuskegee, Alabama, USA.

Synopsis

This book covers key areas of Mathematics and Computer Science. The contributions by the authors include Energy harvest, network, transmitter, multiple nodes, RF Energy Harvesting Networks, KU-algebra, fuzzy KU-ideal, (bipolar fuzzy) KU-ideal, (bipolar fuzzy) n-fold KU-ideal, Causality, Lipschitz continuity, linearization, monotone maximal operator, nonlinear feedback system, normality, reflexive Banach space, Oscillation, delay terms, bounded solutions, linear and nonlinear, difference inequalities, MANETs, access scheduling, network capacity, MIMO links, heterogeneous networks, Riccati equation, differential transform method, classical runge kutta 4 method, Property (G), Rainwater set, Property (N), Nikodym set, Property (V HS), Fourier transform in quantum mechanics, Permutation relations between operators, Laws of wave optics, Diffractions of waves by identical objects, Energy, order statistic, probability, spectrum sensing, Singular integral equation, linear and nonlinear V-FIE, Homotopy Perturbation Method (HPM), Cauchy kernel, Vulnerability, graphic integer sequence, integrity, tenacity, rupture degree, scattering number, independence number, covering number, clique number, Numerical solution, heat and mass transfer, general purpose graphics processing unit, CUDA etc. This book contains various materials suitable for students, researchers and academicians in the field of Mathematics and Computer Science.

Chapters

Chapter 1
Investigating the Characterization of Energy Availability in RF Energy Harvesting Networks

Daniela Oliveira, Rodolfo Oliveira
Chapter 2
Discussion on Bipolar Fuzzy n-fold KU-ideal of KU-algebras

Samy M. Mostafa, Fatema F. Kareem
Chapter 3
Nonlinear Feedback Systems on a Reflexive Banach Space-Normality and Linearization

Messaoudi Khelifa
Chapter 4
Studies on Oscillation Criteria for Functional Difference Inequalities with Strongly Bounded Forcing Term

Pon Sundar, B. Kishokkumar, K. Revathi
Chapter 5
Advanced Study on Capacity-Optimized Access Scheduling Control for Heterogeneous MANETs with MIMO Links

Haixia Cui, Wanmei Feng
Chapter 6
Riccati Equation with Variable Co-efficient: Solution by Differential Transform Method

Supriya Mukherjee, Banamali Roy
Chapter 7
Some Applications of Grothendieck Sets

J. C. Ferrando, S. López-Alfonso, M. López-Pellicer
Chapter 8
Principles of Quantum Mechanics and Laws of Optics from a Fourier Transform Formula

Do Tan Si
Chapter 9
Brief Discussion: Asymptotic Value of the Probability that the First Order Statistic is from Null Hypothesis

Iickho Song, Seungwon Lee, So Ryoung Park, Seokho Yoon
Chapter 10
Recent Advancements: Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel

Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni
Chapter 11
Measuring Network Vulnerability Using Graphic Integer Sequence

Debajit Sensarma, Samar Sen Sarma
Chapter 12
A Detailed Account of An Efficient Acceleration of Solving Heat and Mass Transfer Equations in Capillary Porous Radially Composite Cylinder with Different Kinds of Boundary Conditions Using Programmable Graphics Hardware

Hira Narang, Fan Wu, Abdul Rafae Mohammed