Advances in Mathematics and Computer Science Vol. 4

Authors

Dr. Luigi Giacomo Rodino, (Editor)

Professor, Department of Mathematics, University of Turin, Italy.

Profile Link: http://www.matematica.unito.it/persone/luigi.rodino

N. Assimakis

General Department, National and Kapodistrian University of Athens, Greece.

G. Tziallas

General Department, University of Thessaly, Greece.

I. Anagnostopoulos

School of Mechanical Engineering, National Technical University of Athens, Greece.

A. Polyzos

Cross Software Solutions IKE, Greece.

Silas A. Ihedioha

Department of Mathematics, Plateau State University Bokkos, P.M.B. 2012, Jos, Plateau State, Nigeria.

Ubani, Sunday Iheanyi

Federal College of Agriculture, Ishiagu, Ebonyi State, Nigeria.

Njoku, Iheanyi Odochi

Federal College of Agriculture, Ishiagu, Ebonyi State, Nigeria.

Mohamed Hanini

FST, Hassan 1st University, Settat, Morocco and IR2M laboratory, FST, Hassan 1st University, Settat, Morocco.

Fatima Oumellal

FST, Hassan 1st University, Settat, Morocco.

Abdelkrim Haqiq

FST, Hassan 1st University, Settat, Morocco and IR2M laboratory, FST, Hassan 1st University, Settat, Morocco.

Budheswar Deka

Department of Mathematics, Dibrugarh University, Dibrugarh-786004, India.

Abhigyan Mahanta

Department of Mathematics, Dibrugarh University, Dibrugarh-786004, India.

A. Bharali

Department of Mathematics, Dibrugarh University, Dibrugarh-786004, India.

Louis Omenyi

Department of Mathematics/Computer Science/Statistics/Informatics, Alex Ekwueme Federal University, Ndufu-Alike, Nigeria.

A. A. Adigun

Department of Information and Communication Technology, Osun State University, Osogbo, Nigeria.

A. O. Osofisan

Department Computer Science, University of Ibadan, Ibadan, Nigeria.

O. Longe

Department of Computer Science, University of Ibadan, Ibadan, Nigeria.

M. O. Kolawole

Department of Electrical and Electronics Engineering, Federal University of Technology, Akure, Nigeria.

Moshe Stupel

Shaanan Academic College of Education, and Gordon Academic College of Education, Haifa, Israel.

Avi Sigler

Shaanan - Academic College of Education, Haifa , Israel.

Shula Weissman

Gordon Academic College, Haifa, Israel.

Sheetal Ghorpade

RMD Sinhgad School of Engineering, Pune – 411058, India.

Arun Kumar Rao

Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur, India.

Himanshu Pandey

Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur, India.

Devesh Kumar Srivastava

SCIT, Manipal University Jaipur, India.

El Khomssi Mohammed

Modelling and Scientic Computing Laboratory, Faculty of Science and Technology of Fez, Box 2202, University S. M. Ben Abdellah Fez, Morocco.

Chaachoui Ghizlane

Modelling and Scientic Computing Laboratory, Faculty of Science and Technology of Fez, Box 2202, University S. M. Ben Abdellah Fez, Morocco.

Ez-Zriouli Rachid

Modelling and Scientic Computing Laboratory, Faculty of Science and Technology of Fez, Box 2202, University S. M. Ben Abdellah Fez, Morocco.

B. S. Sunoj

Department of Mathematics, Government Polytechnic College, Attingal, India.

T. K. Mathew Varkey

Department of Mathematics, TKM College of Engineering, Kollam, India.

Synopsis

This book covers all areas of mathematics and computer science. The contributions by the authors include Laplacian, zeta function, casimir energy, parallelepiped, analytic continuation, geometrical constructions, multiple solutions for one task, DGE – Dynamic Geometry Environments, DGS - Dynamic geometry software, Hamilton-Jacobi-Bellman (HJB) equation, Ornstein-Uhlenbeck, stochastic, normalized cut, K-way cut, higher order derivative, diophantine equation, recurcive formula, cloud computing, queuing theory, embedded Markov chain, MMPP processes, graph labeling, prime labeling, prime graphs, path related graphs, square difference, Weibull distribution, non-informative and beta prior, squared error, precautionary and entropy loss functions, Interactive Voice Response (IVR), failure intensity parameter value, human computer interaction, Kalman filter, Lainiotis filter, topological index, redefined third Zagreb index, (a,b)-Zagreb index etc. This book contains various materials suitable for students, researchers and academicians in the field of mathematics and computer science.

Chapters

Chapter 1
Tank Level Prediction Using Kalman and Lainiotis Filters

N. Assimakis, G. Tziallas, I. Anagnostopoulos, A. Polyzos
Chapter 2
The Impact of Consumption on an Investor’s Strategy under Stochastic Interest Rate and Correlating Brownian Motions

Silas A. Ihedioha, Ubani, Sunday Iheanyi, Njoku, Iheanyi Odochi
Chapter 3
A Queuing Model to Analyze Data Center Performances in a Cloud Computing Environment

Mohamed Hanini, Fatima Oumellal, Abdelkrim Haqiq
Chapter 4
Some S-degree Based Topological Indices of Silicates (SiO2) Layer

Budheswar Deka, Abhigyan Mahanta, A. Bharali
Chapter 5
A zeta function Computation of Casimir Energy

Louis Omenyi
Chapter 6
Improving Method of Evaluating Semantic Filtering for Human Computer Interaction in an Adaptive Collaborative Learning Environment

A. A. Adigun, A. O. Osofisan, O. Longe, M. O. Kolawole
Chapter 7
Finding the Location of the Axes, the Vertices and the Foci of a Parabola, an Ellipse and a Hyperbola Using a Straightedge and a Compass

Moshe Stupel, Avi Sigler, Shula Weissman
Chapter 8
Image Segmentation Using N - Cut Based Graph Partitioning

Sheetal Ghorpade
Chapter 9
Bayesian Approach to Reliability Estimation

Arun Kumar Rao, Himanshu Pandey
Chapter 10
Reliability Measurement of Square Model to Develop IVR Software

Devesh Kumar Srivastava
Chapter 11
Proposition of a Recursive Formula to Calculate the Higher Order Derivative of a Composite Function without Using the Resolution of the Diophantine Equation

El Khomssi Mohammed, Chaachoui Ghizlane, Ez-Zriouli Rachid
Chapter 12
Square Difference Prime Labeling –More Results on Path Related Graphs

B. S. Sunoj, T. K. Mathew Varkey