Book Description:
"Advances in Mathematics Research" presents original research results on the leading edge of mathematics research. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Some topics included in this compilation are: problem-solving techniques; exact evaluation of bias in Rasch model residuals; learning algorithms for discounted MDP's with constraints; spectrum results in Galois geometries; and novel solutions of a nonlinear differential equation. (Imprint: Nova Press)

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Table of Contents:
Preface

Problem-Solving from Polya to Nowadays: A Review and Future Perspectives
(Michael Gr. Voskoglou, Graduate Technological Educational Institute (T. E. I.), School of Technological Applications, Patras, Greece) pp.1-18

Exact Evaluation of Bias in Rasch Model Residuals
(Svend Kreiner, Karl Bang Christensen, Department of Biostatistics, University of Copenhagen, and others)pp.19-40

A Laplace’s Principle Based Approach for Solving Fuzzy Matrix Games
(Moussa Larbani, Fatiha Kacher, Department of Business Administration,
Kainan University, Luchu, Taoyuan County, Taiwan, and others)pp.41-60


Learning Algorithms for Discounted MDP’s with Constraints
(Peter Geibel, Fritz Wysotzki, Berlin University of Technology (TU Berlin), Faculty of Electrical Engineering and Computer Science, Berlin, Germany) pp.61-86

Split-Quaternionic Representation of the Moving Frame for Timelike Surfaces in 3-Dimensional Minkowski Spacetime
(Paul Bracken, Department of Mathematics, University of Texas, Edinburg, Texas, USA)pp.87-94

Variational Approach to Stable Numerical Approximation of Optimal Dirichlet Boundary Controls for Wave Equation
(Mikhail Potapov, Department of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia)pp.95-120

The Blowup Mechanism in Nonlinear Partial Differential Equations: Scaling and Variation
(Takashi Suzuki, Division of Mathematical Science, Department of Systems Innovation, Graduate School of Engineering Science, Osaka University, Japan) pp.121-146

Spectrum Results in Galois Geometries
(Leo Storme, Ghent University, Dept. of Mathematics, Krijgslaan, Ghent, Belgium) pp.147-172

Combined Rasch Hierarchical Models: A Preliminary Application to Autobiographical Memory
(Franca Crippa, Angela Tagini, Germano Rossi, Department of Psychology, University of Milano, Bicocca, Italy)pp.173-184

Novel Special Solutions of a Nonlinear Differential Equation
(Lina Song, Center for Econometrics Analysis and Forecasting, School of Mathematics and Quantitative Economics, Dongbei University of Finance and Economics, Dalian, P.R. China) pp.185-198

Two Dialogues on Epistemic Logics and Inductive Game Theory ^
(Mamoru Kaneko, Institute of Policy and Planning Sciences, University of Tsukuba, Japan and J. Jude Kline, School of Economics, University of Queensland, Australia) pp.199-238

Index pp.239-245