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Algorithms for Random Generation and Counting: A Markov Chain Approach
This monograph is a slightly revised version of my PhD thesis [86], com pleted in the Department of Computer Science at the University of Edin burgh in June 1988, with an additional chapter summarising more recent developments. Some of the material has appeared in the form of papers [50,88]. The underlying theme of the monograph is the study of two classical problems: counting the elements of a finite set of combinatorial structures, and generating them uniformly at random. In their exact form, these prob lems appear to be intractable for many important structures, so interest has focused on finding efficient randomised algorithms that solve them ap proxim~ly, with a small probability of err...
Modern Computer Algebra
Computer algebra systems are now ubiquitous in all areas of science and engineering. This highly successful textbook, widely regarded as the 'bible of computer algebra', gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics, its comprehensiveness and reliability has also made it an essential reference for professionals in the area. Special features include: detailed study of algorithms including time analysis; implementation reports on several topics; complete proofs of the mathematical underpinnings; and a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). A great deal of historical information and illustration enlivens the text. In this third edition, errors have been corrected and much of the Fast Euclidean Algorithm chapter has been renovated.
Programming Languages and Systems
With warm-hearted and friendly promotion by our Japanese friends Prof. - sushi Ohori, Prof. Tetsuo Ida, and Prof. Zhenjiang Hu, and other distinguished professors and scholars from countries and regions such as Japan, South Korea, Singapore, and Taiwan, the 1st Asian Symposium on Programming Languages andSystems(APLAS2003)tookplaceinBeijing.Wereceived76papers,among which 24 were selected for the proceedings after serious evaluation, which fully demonstrates the high quality of the collected papers. I hereby, on behalf of the Program Committee and the Organization Committee of the symposium, would like to extend the warmest welcome and hearty thanks to all colleagues who attended the symposiu...
Are Photographs Truthful? Whence Veracity?
For decades, people have made certain assumptions about photographs, the primary one being that they are truthful in depicting reality. While this is true in many cases, it is not always so. This book traces the rise of photography’s perceived veracity. It shows why a combination of pre-knowledge of early developments in imagery, a persistent marketing campaign espousing the accuracy of photographs and a perception by users that what they got from their photographs was an accurate depiction acted to create the belief in the photograph’s veracity. The book uses philosophy, physiology, psychology and photography to tell this story and concludes by describing a system of identification that could be used to separate images that are not always what they seem. The turbulence caused to photography with the introduction of digital imaging is described and is the impetus for the beginning of the discussion about where photography sits today amongst other images.
Boolean Function Complexity
Here Professor Paterson brings together papers from the 1990 Durham symposium on Boolean function complexity. The participants include many well known figures in the field.
Introduction To Algorithms
An extensively revised edition of a mathematically rigorous yet accessible introduction to algorithms.
FST TCS 2000: Foundations of Software Technology and Theoretical Science
This book constitutes the refereed proceedings of the 20th international Conference on Foundations of Software Technology and Theoretical Computer Science, FST TCS 2000, held in New Delhi, India in December 2000. The 36 revised full papers presented were carefully reviewed and selected from a total of 141 submissions; also included are six invited papers. The volume provides broad coverage of the logical and mathematical foundations of computer science and spans the whole range of theoretical computer science.
Grobner-shirshov Bases: Normal Forms, Combinatorial And Decision Problems In Algebra
The book is about (associative, Lie and other) algebras, groups, semigroups presented by generators and defining relations. They play a great role in modern mathematics. It is enough to mention the quantum groups and Hopf algebra theory, the Kac-Moody and Borcherds algebra theory, the braid groups and Hecke algebra theory, the Coxeter groups and semisimple Lie algebra theory, the plactic monoid theory. One of the main problems for such presentations is the problem of normal forms of their elements. Classical examples of such normal forms give the Poincaré-Birkhoff-Witt theorem for universal enveloping algebras and Artin-Markov normal form theorem for braid groups in Burau generators.What is...
42nd Annual Symposium on Foundations of Computer Science
Proceedings of the October 2001 symposium. Three tutorial sessions discuss game theory and mathematical economics a theoretical computer scientist's introduction; algorithmic applications of low-distortions geometric embeddings; and coding theory. About 60 additional papers address related topics. L
