/ WSEAS TRANSACTIONS
on MATHEMATICS

Issue 1, Volume 3, January 2004

ISSN 1109-2769 http://www.wseas.org
A Generalization of the Remainder in Multivariate Polynomial Interpolation / 1
Dana Simian
Space Objective Functions for Systolic Arrays / 7
Dragan M. Randjelovic
Lanczos Methods in Economic Models. Visual Representation and Computing / 13
Concepción González-Concepción and Peter Graves-Morris
Linear Systems and Half-Line Integral Representations / 19
Irwin W. Sandberg
DKA Method for Single Variable Holomorphic Functions / 25
Toshiaki Itoh
Comparing Newton with ANN for Load Flow / 31
Javier Bilbao, Eugenio Bravo
Higher Order Multivariate Automatic Differentiation and Validated Computation of Remainder Bounds / 37
Martin Berz and Kyoko Makino
Quadratic Forms, Pythagorean Triples, and the Equation / 45
Cordelia Aitkin, Thomas Colthurst, Kathryn Kollett, Steven Levandosky, Andrew Perry, Eugene Stern
Iterative Learning Control with Input Parameterization of a Fedbatch Lactic Acid Fermentation Process / 49
Cherif Ben-Youssef, Julio Waissman, Gabriela Vázquez, Virgilio Lopez-M
Dominating Sets for Outerplanar Graphs / 55
Val Pinciu
An Analysis of Average Search Cost of the External Hashing with Separate Chain / 59
Ningping Sun, Ryozo Nakamura, Hongbing Zhu, Akio Tada, Wenling Sun
Some New Properties for Capacitated Lot Sizing Problem with Bounded Inventory and Stockouts / 65
Xiao Liu, Feng Chu, Chengbin Chu, Chengen Wang
Time distributed update of the NLMS Algorithm Coefficients for Acoustic Echo Cancellers / 71
Fotis Andritsopoulos, Yannis Mitsos, Christos Charopoulos, Gregory Doumenis, Constantin Papaodysseus
Interval-valued Fuzzy Numbers and Concordance Analysis Approach to the Operational Organization Type Selection / 78
Ming-Miin Yu and Jing-Shing Yao
Towards The Formalization of Knowledge Representation / 84
Omar López-Ortega, Joel Suárez-Cansino, Virgilio López-Morales
Derivation of the Lattice Vehicular Model from the Boltzmann Transport Equation / 90
Shih-Ching Lo
Measuring the Risk-Adjusted Efficiency of Taiwan Motor Transport Company Before and After Privatization / 96
Hsun-Jung Cho and Chih-Ku Fan
The Joint Determination of Efficiency in Multi-Mode Bus Transit / 102
Ming-Miin Yu and Chih-Ku Fan
Application and Numerical Investigation of Wavelet Transform for Traffic Data Denoising / 108
Shih-Ching Lo and Chih-Ku Fan
Quantum Mechanical Simulation for Ultra-thin High-k Gate Dielectrics Metal Oxide Semiconductor Field Effect Transistors / 114
Shih-Ching Lo, Yiming Li, and Jyun-Hwei Tsai
Transient Analysis of Two-Dimensional Cylindrical Fin with Various Surface Heat Effects / 120
Kuang Yuan Kung and Shih-Ching Lo
Generalized Output Regulation for a Class of Nonlinear Systems via the Robust Control Approach / 126
L. E. Ramos-Velasco, S. Celikovsky, V. Lopez-Morales and V. Kucera
On the Approximation of the Auto Solid Angle for Solving Integral Equations / 132
Diana Rubio and Maria Ines Troparevsky
Range Bounding with Taylor Models - Some Case Studies / 137
Kyoko Makino, Martin Berz and Youn-Kyung Kim
Integrating Nonlinear Heat Conduction Equation with Source Term / 146
Iryna Dmytruk
Periodic Oscillators in Genetic Networks with Negative Feedback Loops / 150
Ruiqi Wang, Zhujun Jing, Luonan Chen
Constructive State-Affine Transformation of a Class of Nonlinear Systems / 157
V. Lopez-Morales, A. Glumineau and L.E. Ramos-Velasco
Robust Stability and Robust H∞ control of 2-D Discrete Systems with Polytopic Uncertainty / 163
Lixin Gao
Lineal Spline Approximation Algorithms for Solution of the Coefficient Inverse Problem for Nonlinear System of Ordinary Differential Equations and Applications in Neuroscience / 170
A. Grebennikov, J. F. Leyva
Optimal control of Goursat systems in irregular domains / 176
S. A. Belbas
Investigation of Delay System with Piece-Wise Right Side Arising in Radiotherapy / 181
Vasiliy Marzeniuk, Alexander Nakonechny
Dynamic Modeling of a Vibratory Bowl Feeder / 188
Diana Ioana Popescu
Partial Difference Equations and the Maximum Principle / 192
Jiri Gregor
Transient Analysis of Two-Dimensional Rectangular Fin With Various Surface Heat Effects / 198
Kuang Yuan Kung
Effects of Surface Roughness on Dynamic Squeeze Behavior of Partial Journal Bearings with Finite Width / 204
K. Y. Kung, C. H. Hsu, P. C. Chen, J.R. Lin
Modeling Error in the Two-Node Timoshenko Beam Finite Element / 210
João Elias Abdalla Filho, Michele Schunemann Pereira
The Structure of Local Search Diversity / 216
Alexandre Linhares
A Novel Method for Parameter Optimization in Two-Dimensional Dynamical Models / 221
Guanyu Wang
A Heuristic Dynamic Programming Algorithm for 2D Unconstrained Guillotine Cutting / 230
Xiang Song, Chengbin Chu, Yiyong Nie
New Optimization Approach in the Design of E-Shaped Patch Antenna / 239
Abbas Ali Lotfi Neyestanak, Farrokh Hojjat Kashani, Masood Khosroshahy
On a New Extension of Wilcox's Method / 244
Irina Gladkova, Dmitry Chebanov
Using Wavelets Based on B-splines for Calculation of the Hankel Transform / 250
Eugene Postnikov
Normal Forms and Fatou-Bieberbach Domains / 253
Ralph Oberste-Vorth
Optimum Forming of Plates by Application of Boundary Forces / 259
Abdolreza Joghataie and Amin Heidarpour
On Solvability for Higher Order Parabolic Equations / 265
Martín López Morales
Time Series Analysis and Forecasting Techniques for Correlated Observations / 272
Raquel Voget, Alicia Tinnirello
Bayesian Segmentation and Motion Estimation in Video Sequences using a Markov-Potts Model / 276
Patrice Brault and Ali Mohammad-Djafari
Watermarking Oriented Video Modelling in the Wavelet Domain / 282
Mihai Mitrea, Francoise Preteux, Adriana Vlad
Modeling and Simulating Complexity for Discrete Graphic Markov Models: an Experimental Study / 288
Elva Díaz, Eunice Ponce de León