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Combinatorial Number Theory
  • Author : Bruce Landman
  • Release : 01 January 2007
  • Publisher : Walter de Gruyter
  • Pages : 498 Pages
  • ISBN : 3110925095
  • Category : Mathematics

Synopsis:
This carefully edited volume contains selected refereed papers based on lectures presented by many distinguished speakers at the "Integers Conference 2005", an international conference in combinatorial number theory. The conference was held in celebration of the 70th birthday of Ronald Graham, a leader in several fields of mathematics.

Latent Curve Models
  • Author : Kenneth A. Bollen
  • Release : 03 January 2006
  • Publisher : John Wiley & Sons
  • Pages : 256 Pages
  • ISBN : 0471746088
  • Category : Mathematics

Synopsis:
An effective technique for data analysis in the social sciences The recent explosion in longitudinal data in the social scienceshighlights the need for this timely publication. Latent CurveModels: A Structural Equation Perspective provides an effectivetechnique to analyze latent curve models (LCMs). This type of datafeatures random intercepts and slopes that permit each case in asample to have a different trajectory over time. Furthermore,researchers can include variables to predict the parametersgoverning these trajectories. The authors synthesize a vast amount of research and findingsand, at the same time, provide original results. The book analyzesLCMs from the perspective of structural equation models (SEMs) withlatent variables. While the authors discuss simple regression-basedprocedures that are useful in the early stages of LCMs, most of thepresentation uses SEMs as a driving tool. This cutting-edge workincludes some of t

Logical Tools for Handling Change in Agent Based Systems
  • Author : Dov M. Gabbay
  • Release : 03 March 2010
  • Publisher : Springer Science & Business Media
  • Pages : 305 Pages
  • ISBN : 3642044077
  • Category : Computers

Synopsis:
Agents act on the basis of their beliefs and these beliefs change as they interact with other agents. In this book the authors propose and explain general logical tools for handling change. These tools include preferential reasoning, theory revision, and reasoning in inheritance systems, and the authors use these tools to examine nonmonotonic logic, deontic logic, counterfactuals, modal logic, intuitionistic logic, and temporal logic. This book will be of benefit to researchers engaged with artificial intelligence, and in particular agents, multiagent systems and nonmonotonic logic.

Introduction to Plane Algebraic Curves
  • Author : Ernst Kunz
  • Release : 10 June 2007
  • Publisher : Springer Science & Business Media
  • Pages : 294 Pages
  • ISBN : 0817644431
  • Category : Mathematics

Synopsis:
* Employs proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in which the topological-analytic aspects are stressed *Requires only a basic knowledge of algebra, with all necessary algebraic facts collected into several appendices * Studies algebraic curves over an algebraically closed field K and those of prime characteristic, which can be applied to coding theory and cryptography * Covers filtered algebras, the associated graded rings and Rees rings to deduce basic facts about intersection theory of plane curves, applications of which are standard tools of computer algebra * Examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook

Introduction to Probability Models
  • Author : Sheldon M. Ross
  • Release : 21 November 2006
  • Publisher : Elsevier
  • Pages : 800 Pages
  • ISBN : 0080467822
  • Category : Mathematics

Synopsis:
Introduction to Probability Models, Ninth Edition, is the primary text for a first undergraduate course in applied probability. This updated edition of Ross's classic bestseller provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries. This book now contains a new section on compound random variables that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions; a new section on hiddden Markov chains, including the forward and backward approaches for computing the joint probability mass function of the s

Philosophy of Mathematics
  • Author : Anonim
  • Release : 08 July 2009
  • Publisher : Elsevier
  • Pages : 733 Pages
  • ISBN : 9780080930589
  • Category : Philosophy

Synopsis:
One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, Kantianism), as well as dominant modern theories (logicism, formalis

Holomorphic Automorphism Groups in Banach Spaces
  • Author : J.M. Isidro
  • Release : 18 August 2011
  • Publisher : Elsevier
  • Pages : 290 Pages
  • ISBN : 9780080872162
  • Category : Mathematics

Synopsis:
Holomorphic Automorphism Groups in Banach Spaces

Frontiers in Algorithmics
  • Author : Xiaotie Deng
  • Release : 20 June 2009
  • Publisher : Springer
  • Pages : 372 Pages
  • ISBN : 3642022707
  • Category : Computers

Synopsis:
This book constitutes the refereed proceedings of the Third International Frontiers of Algorithmics Workshop, FAW 2009, held in Hefei, Anhui, China, in June 2009. The 33 revised full papers presented together with the abstracts of 3 invited talks were carefully reviewed and selected from 87 submissions. The papers are organized in topical sections on graph algorithms; game theory with applications; graph theory, computational geometry; machine learning; parameterized algorithms, heuristics and analysis; approximation algorithms; as well as pattern recognition algorithms, large scale data mining.

New Trends in Nonlinear Dynamics and Pattern Forming Phenomena
  • Author : Pierre Coullet
  • Release : 06 December 2012
  • Publisher : Springer Science & Business Media
  • Pages : 368 Pages
  • ISBN : 1468474790
  • Category : Mathematics

Synopsis:
The basic aim of the NATO Advanced Research Workshop on "New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena: The Geometry of Nonequilibrium" was to bring together researchers from various areas of physics to review and explore new ideas regarding the organisation of systems driven far from equilibrium. Such systems are characterized by a close relationship between broken spatial and tempo ral symmetries. The main topics of interest included pattern formation in chemical systems, materials and convection, traveling waves in binary fluids and liquid crystals, defects and their role in the disorganisa tion of structures, spatio-temporal intermittency, instabilities and large-scale vortices in open flows, the mathematics of non-equilibrium systems, turbulence, and last but not least growth phenomena. Written contributions from participants have been grouped into chapters addressing these different areas. For additional c

Iterative Dynamic Programming
  • Author : Rein Luus
  • Release : 17 September 2019
  • Publisher : CRC Press
  • Pages : 344 Pages
  • ISBN : 9781420036022
  • Category : Mathematics

Synopsis:
Dynamic programming is a powerful method for solving optimization problems, but has a number of drawbacks that limit its use to solving problems of very low dimension. To overcome these limitations, author Rein Luus suggested using it in an iterative fashion. Although this method required vast computer resources, modifications to his original schem

Operational Calculus and Generalized Functions
  • Author : Arthur Erdelyi
  • Release : 17 July 2013
  • Publisher : Courier Corporation
  • Pages : 103 Pages
  • ISBN : 0486497127
  • Category : Mathematics

Synopsis:
"Based on a math course for advanced undergraduates and graduate students at Cal Tech, this brief monograph requires a background in advanced calculus. Topics include elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators, and problems in partial differential equations. Includes solutions. 1962 edition"--

Superlinear Parabolic Problems
  • Author : Prof. Dr. Pavol Quittner
  • Release : 13 June 2019
  • Publisher : Springer
  • Pages : 719 Pages
  • ISBN : 3030182223
  • Category : Mathematics

Synopsis:
This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena