Essays on Mathematics and Statistics: Volume 2

Edited by Vladimir Akis

ISBN: 978-960-9549-73-8, 228 pages

First published in 2012 by ATINER

Price: Paperback: 50€ (It includes Shipping and Handling)

Electronic copy: 30€

Table of Contents

1.	Preface Vladimir Akis	11
2.	Integer Sequences of the Form α^n±β^n Abdulrahman Ali Abdulaziz	13
3.	A Purely Diophantine System of Equations that Corresponds to Cyclotomic Numbers of Order l Ciaran Mac an Bhaird and Pat McCarthy	23
4.	Graphing Cubics without Calculus Constantine Georgakis	39
5.	On Some Properties of a Banach Algebra with a Multiplication Arising from a Module Map Mohammad Janfada	45
6.	Extremum Traceableness of the TVD Schemes Nan Jiang	55
7.	Kelvin-Helmholtz Instability Model for Supersonic Adiabatic Viscid Jet Igor Gaissinski, Oleg Kelis and Vladimir Rovenski	67
8.	A Note on Bayesian Estimation for the Negative-Binomial Model Yuhlong L. Lio	81
9.	Sparse Coding using Self-adaptive prior Probability Distribution Xiaoyue Luo and Lingzhi Liao	91
10.	Image Compression Predicated on Recurrent Iterated Function Systems Wolfgang Metzler, Chol Hui Yun and Michael Barski	107
11.	An Innovative Integration of Evolving Technologies in Undergraduate Mathematics Education Eric Muller and Chantal Buteau	117
12.	Fuzzy Subgroups of Rank Two Abelian p-Group Sakhile L. Ngcibi , V. Murali and B. B. Makamba	123
13.	Noether’s Problem in Algebraic Geometry Tihomir Petrov	129
14.	Mathematical Modeling of Thermal Properties of Residential Buildings Bruno Rusjan and Edmond Rusjan	145
15.	Recent Trends in Probability in Group Theory in Some Classes of Compact Groups Francesco G. Russo	153
16.	New Prolongation Operator for Multilevel bases in Divergence –Free Finite Elements Ali Tavakoli	158
17.	On Certain Classes of Harmonic p-valent Functions by Applying the Ruscheweyh Derivatives Abdolreza Tehranchi	167
18.	Computing Maximal Abelian Dimensions in 6-Dimensional Solvable Lie Algebras Manuel Ceballos, Juan Núñez and Ángel F. Tenorio	183
19.	A New Transformation Formula for Fractional Derivatives with Applications Richard Tremblay and B.-J.Fugere	195
20.	Stability of the Unit Root Test Under Contamination. Small Sample Case Hocine Fellag and Lynda Atil	221