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The papers gathered in this book were published over a period of more than twenty years in widely scattered journals. They led to the discovery of randomness in arithmetic which... Read more
The papers gathered in this book were published over a period of more than twenty years in widely scattered journals. They led to the discovery of randomness in arithmetic which was presented in the recently published monograph on "Algorithmic Information Theory" by the author. There the strongest possible version of Goedel's incompleteness theorem, using an information-theoretic approach based on the size of computer programs, was discussed. The present book is intended as a companion volume to the monograph and it will serve as a stimulus for work on complexity, randomness and unpredictability, in physics and biology as well as in metamathematics.
Information, Randomness & Incompleteness: Papers On Algorithmic Information Theory Paperback edition by Gregory J. Chaitin
Kurt Gödel (1906-1978) was an Austrian-American mathematician, who is best known for his incompleteness theorems. He was the greatest mathematical logician of the 20th century, with his contributions extending to Einstein's general relativity, as he proved that Einstein's theory allows for time machines....
Now in paperback: one of the world's greatest mathematicians explains his revolutionary hypothesis about the enigma at the heart of maths: omega (?). 'Chaitin comes across as a kind of mathematical Richard Feynman, intuitive and high-spirited, irreverent and plain-spoken.' Peter Pesic, TLS
The author of Meta Math! explains how evolution works on a mathematical level, arguing that mathematical theory is an essential part of evolution while highlighting mathematical principles in the biological world. 25,000 first printing.
This book contains 15 reviewed papers selected from among those presented at the 4th Vision Interface Conference in Halifax, Canada 14 - 18 May 1990. The papers are grouped into three sections which deal with parallel architectures and neural networks, algorithms for analysis and processing, and systems and applications.
It is recognized that knowledge acquisition is the critical bottleneck of knowledge engineering. This book presents three major approaches of current research in this field, namely the psychological approach, the artificial intelligence approach and the software engineering approach.
This book describes a study on the question of what sort of innate knowledge it is that enables children to acquire a first language. The author, using a computational approach, builds a model, named BUD (Bring Up a Daughter), on the basis of the data linguists and psychologists have collected.BUD is based on the empirists, view of first language acquisition (as opposed to that of the nativists'),...
This text contains original reviews in the field of mathematical linguistics and formal language theory. Topics covered include: contextual grammars; grammar systems; automata theory; the algebraic approach to computer science; cryptography; grammatical inference; and natural language processing.
This essential companion to Chaitins highly successful The Limits of Mathematics, gives a brilliant historical survey of important work on the foundations of mathematics. The Unknowable is a very readable introduction to Chaitins ideas, and includes software (on the authors website) that will enable users to interact with the authors proofs.
Treats the mathematical mechanism that permits investigation of structures of both sequential and parallel algorithms. This mechanism allows recognition and explanation of the relations between different methods of constructing parallel algorithms and others.
This book presents new models to enhance both capacity and coverage area in WiMAX FFR cellular network by considering the effect of interference of 18 base stations on the cell border users. The concepts provide a solid scientific base for analyzing and understanding WiMAX technology--
The real threat to information system security comes from people, not computers. That's why students need to understand both the technical implementation of security controls, as well as the softer human behavioral and managerial factors that contribute to the theft and sabotage proprietary data.
This book details developments that have led to the introduction of many innovative statistical tools for high-dimensional data analysis. It takes a broad perspective, covering both linear and nonlinear methods.
Presents an introduction to microprocessors and microcontrollers. This book discusses simple microprocessor architecture concepts, and covers assembly language programming in a C language context, and fundamental hardware interfacing topics such as parallel IO, asynchronous serial IO, synchronous serial I/O (I2C and SPI), and interrupt-driven IO.
Shows why the successful implementation of an enterprise GIS in the electric distribution industry is based on a sound and thorough data model. For GIS managers, business executives, and information technology managers, the book's technical information is designed for quick comprehension.
A guide to your camera's essential controls and functions, such as Live View, built-in dust reduction, and the 6.5-frames-per-second continuous shooting. It helps you learn about the camera's automatic focus, flash synchronization tricks, how to choose lenses that will provide the perspective and effects you want.
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