Essays on Mathematics and Statistics

Edited by Vladimir Akis

ISBN: 978-960-6672-52-1, 260 pages

First published in 2009 by ATINER

Price: Paperback: 50€ (It includes Shipping and Handling) Hardcover: 80€ (It includes Shipping and Handling)

Electronic copy: 30€

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Table of Contents

1.	Preface Vladimir Akis			1
PART I: Mathematics
2.		Filippov's Operator and Some of its Properties in R^n Khalid Al-Shammari		5
3.		Elliptic Curves over Q(i) Peter Brown and Thotsaphon Thongjunthug		13
4.		A Priori Estimations of a Global Homotopy Residue Continuation Method Isabelle Gruais and Nathalie M.M. Cousin-Rittemard		21
5.		Continuous Solutions for retarded Differential Inclusions via Henstock Integral Bianca Satco		31
6.		Certain Properties of Pythagorean Triangles Involving the Interior Diameter 2ρ, and the Exterior Diameters 2ρα, 2ρβ, 2ργ Konstantine ‘Hermes’ Zelator		39
7.		Numerically Solving High-order Non-linear Ordinary Differential Equations with the Aid of a Symbolic Calculation Package Christian G. Hammel and Songping Zhu		57
8.		On Semivalues and TU Games on Matroids Irinel Dragan		71
9.		Integer Sequences of the Form α^n±β^n Abdulrahman Ali Abdulaziz		85
PART II: Math Education
10.			Postsecondary Mathematics Achievement of Students Learning from Mixed, Traditional, Standards-based, and Advanced Placement Mathematics Programs Jon D. Davis and Jeffrey C. Shih	99
11.			Insights into Guidance for Instructor Performance, based Upon Student Course Evaluations over Several Years Donald J. Kelly and William R. McShane	113
12			The Math Plague: Teaching and Learning Strategies for Mathematics Under-Achievers Sherry Mantyka and F. Michael Rabinowitz	135
13.			The Lambert W Function and Undergraduate Mathematics Edward W. Packel	147

14.	Some Perspectives on Patterns in Middle School Mathematics Curricula Travis Austin Olson, Troy P. Regis and Ira J. Papick	155
15.	Research Results and Program Details for WeBWorK, A Web-based Mathematics Homework Program Angelo Segalla	169
PART III: Statistics
16.	Estimating Reliability in Two Independent Distributions Mir Masoom Ali and Jungsoo Woo	185
17.	Nonparametric Estimation for Quantile and Sparsity Functions via Trimmed L-moments Elsayed Habib Elamir	195
18.	Measure of Multicollinearity with a New, Original Indicator (Petres’ Red) in Linear Regression Models Péter Kovács and Tibor Petres	211
19.	Log Sobolev Inequality for Measures with Infinite Deep Wells Ioannis Papageorgiou	217