The Monte Carlo method is inherently parallel and the extensive and rapid development in parallel computers, computational clusters and grids has resulted in renewed and increasing interest in this method. At the same time there has been an expansion in the application areas and the method is now widely used in many important areas of science including nuclear and semiconductor physics, statistical mechanics and heat and mass transfer. This book attempts to bridge the gap between theory and practice concentrating on modern algorithmic implementation on parallel architecture machines. Although a suitable text for final year postgraduate mathematicians and computational scientists it is principally aimed at the applied scientists: only a small amount of mathematical knowledge is assumed and theorem proving is kept to a minimum, with the main focus being on parallel algorithms development often to applied industrial problems. A selection of algorithms developed both for serial and parallel machines are provided. Sample Chapter(s). Chapter 1: Introduction (231 KB). Contents: Basic Results of Monte Carlo Integration; Optimal Monte Carlo Method for Multidimensional Integrals of Smooth Functions; Iterative Monte Carlo Methods for Linear Equations; Markov Chain Monte Carlo Methods for Eigenvalue Problems; Monte Carlo Methods for Boundary-Value Problems (BVP); Superconvergent Monte Carlo for Density Function Simulation by B-Splines; Solving Non-Linear Equations; Algorithmic Effciency for Different Computer Models; Applications for Transport Modeling in Semiconductors and Nanowires. Readership: Applied scientists and mathematicians.

In the light of growing insights into the universal temporal-semantic nature of aspectual distinctions, today's aspectology has broadened its attention from restrictedly event-defining functions of aspect on the sentence level towards its primary perspectival functions on the discourse/situation level. Hereby it attempts to relate these functions to each other in ways that stimulate consistently language processing on a more solid perceptual-conceptual and pragmatic basis. Reflecting in various ways this general tendency. The 13 papers collected in this volume are oriented to four fields of research: (1) Developmental properties of aspect and tense; (2) Ideo-pragmatic and conceptual-semantic correlates of aspect and the perspectival organisation of discourse; (3) Aspect, case and discourse; (4) and Aspect in literary discourse. The editor's Introduction gives a comprehensive survey of contemporary aspectology and its development towards a proper integration of discourse/situation conditions. Besides cross-linguistic considerations (including English), the languages analyzed specifically are Russian, Bulgarian, Lithuanian, French and Finnish.

This volume presents an exhaustive treatment of computation and algorithms for finite fields. Topics covered include polynomial factorization, finding irreducible and primitive polynomials, distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types, and new applications of finite fields to other araes of mathematics. For completeness, also included are two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number generators, modular arithmetic etc.), and computational number theory (primality testing, factoring integers, computing in algebraic number theory, etc.) The problems considered here have many applications in computer science, coding theory, cryptography, number theory and discrete mathematics. The level of discussion presuppose only a knowledge of the basic facts on finite fields, and the book can be recommended as supplementary graduate text. For researchers and students interested in computational and algorithmic problems in finite fields.

The necessity of prediction and fine control in the food manufacturing process is becoming more important than ever before, and food researchers and engineers must confront difficulties arising from the specificity of food materials and the sensitivity of human beings to taste. Fortunately, an overview of world research reveals that the mechanisms of the many complex phenomena found in the food manufacturing process have been gradually elucidated by skilful experiments using new analytical tools, methods and theoretical analyses. This book, the proceedings of the 6th International Congress on Engineering and Food (ICEF6), held for the first time in Asia - in Chiba, Japan May 23 -27, 1993 - summarizes the frontiers of world food engineering in 1993. Congress was joined by the 4th International Conference on Fouling and Cleaning. There were 476 active members from 31 countries participating in the Congress. The editors hope that readers will find this book to be a useful review of the current state of food engineering, and will consider future developments in this research field. The editors extend thanks to the members of the organizing committee of ICEF6, and the advisors, Dr. Ryozo Toei, Professor Emeritus of Kyoto University and Dr. Masao Fujimaki, Professor Emeritus of the University of Tokyo. They also acknowledge the international advisory board members who helped the organizing committee in many ways, and the 10 foundations and 66 companies that financially supported the ICEF6. Finally, the editors are indebted to the reviewers of the manuscripts of these proceedings.

This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types and new applications of finite fields to other areas of mathematics. For completeness we in clude two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number gener ators, modular arithmetic, etc.) and computational number theory (primality testing, factoring integers, computation in algebraic number theory, etc.). The problems considered here have many applications in Computer Science, Cod ing Theory, Cryptography, Numerical Methods, and so on. There are a few books devoted to more general questions, but the results contained in this book have not till now been collected under one cover. In the present work the author has attempted to point out new links among different areas of the theory of finite fields. It contains many very important results which previously could be found only in widely scattered and hardly available conference proceedings and journals. In particular, we extensively review results which originally appeared only in Russian, and are not well known to mathematicians outside the former USSR.