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Mathematics and Mathematical Logic: New Research
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Editors: Peter Milosav and Irene Ercegovaca
Book Description:
A computational model is a mathematical structure which is constructed in an easy way and is useful in performing certain computations on the structure. This book discusses how the idea of "computational model" has been formalized by connecting the domain theory with the theory of metric spaces and related topological spaces. The nature of number is also examined, from a synthetic, holistic and interdisciplinary point-of-view, which is mostly mathematical but also encompasses respective psychological, neuro-physiological and philosophical views.
Reversible logic circuits are discussed, which are beneficial to both classical and quantum computer design. Three experimental prototypes are used to illustrate how, in the near future, reversible computers will outperform conventional computers, in terms of power dissipation and heat generation.
In quantum mechanics and field theory, Schroedinger equation for a single particle in one-dimensional imaginary potential represents one of the most popular schematic non-Hermitian models. Via a solvable square-well approximation technique, this book examines the problems in both the coordinate and momentum representations. The optimization problem is also looked at, which in traditional designs, is stated in precise mathematical terms but in real life, are stated in vague and linguistic terms.

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Table of Contents:

On Number's Nature
(Dimitris Gavalas, Varvakeios Experimental School, Athens, Greece)pp.1-56

The Application of Fuzzy Linear Programming in Engineering
(C. Riverol, Department of Computer and Communications Engineering
Universidad San Jorge Parque Tecnológico Walqa 22197 Cuarte (Huesca) SPAIN)pp.57-66

A New Consensus Scheme for Multicriteria Group Decision Making under Linguistic Assessments (P. Bernardes, P. Ekel, R. Parreiras, Pontificia Universidade Catolica de Minas Gerais, Belo Horizonte, Brazil)pp.67-86

*The Mathematical Basis of Periodicity in Atomic and Molecular Spectroscopy(K. Balasubramanian, Center for Image Processing and Integrated Computing, University of California Davis, California, Chemistry and Applied Material Science Directorate, Livermore National Laboratory, University of California, and Glenn T. Seaborg Center, Lawrence Berkeley Laboratory, University of California, California)pp.87-114

^Second-Order Definability in a Model
(George Weaver, Park Science Center, Bryn Mawr College, Bryn Mawr Pa)pp.115-128

*Algebraic Topics on Discrete Mathematics(Gloria Gutierrez Barranco, Department Matematica Aplicada, University de Malaga, Spain)pp.129-178

*Mathematical Models of QoS Management for Communication Networks
(Chia-Hung Wang, Hsing Luh, Dept. of Mathematical Sciences, National Chengchi Univ., Wen-Shan, Taipei, Taiwan)pp.179-202

Reversible Logic
(Alexis De Vos, Dept. of Electronics and Information Systems, Univ. of Ghent, Ghent Belgium)pp.203-242

Imaginary Cubic Oscillator and its Square-Well Approximations in $x-$ and $p-$ Representation
(Miloslav Znojil, Nulear Physics Instit., Rez, Czech Republic)pp.243-260

Index pp.261-271

      Mathematics Research Developments
   Binding: Hardcover
   Pub. Date: 2011 - 2nd quarter
   Pages: 271.pp
   ISBN: 978-1-60692-862-2
   Status: AV
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
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Mathematics and Mathematical Logic: New Research