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Complexity Theory


Complexity Theory
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Computational Complexity


Computational Complexity
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Author : Sanjeev Arora
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-20

Computational Complexity written by Sanjeev Arora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-20 with Computers categories.


New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.



Algebraic Complexity Theory


Algebraic Complexity Theory
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Author : Peter Bürgisser
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Algebraic Complexity Theory written by Peter Bürgisser and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.


The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under standing of the intrinsic computational difficulty of problems.



Complexity Theory And Cryptology


Complexity Theory And Cryptology
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Author : Jörg Rothe
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-10

Complexity Theory And Cryptology written by Jörg Rothe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-10 with Computers categories.


Modern cryptology increasingly employs mathematically rigorous concepts and methods from complexity theory. Conversely, current research topics in complexity theory are often motivated by questions and problems from cryptology. This book takes account of this situation, and therefore its subject is what may be dubbed "cryptocomplexity'', a kind of symbiosis of these two areas. This book is written for undergraduate and graduate students of computer science, mathematics, and engineering, and can be used for courses on complexity theory and cryptology, preferably by stressing their interrelation. Moreover, it may serve as a valuable source for researchers, teachers, and practitioners working in these fields. Starting from scratch, it works its way to the frontiers of current research in these fields and provides a detailed overview of their history and their current research topics and challenges.



The Complexity Theory Companion


The Complexity Theory Companion
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Author : Lane Hemaspaandra
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-12-01

The Complexity Theory Companion written by Lane Hemaspaandra and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-01 with Computers categories.


Here is an accessible, algorithmically oriented guide to some of the most interesting techniques of complexity theory. The book shows that simple algorithms are at the heart of complexity theory. The book is organized by technique rather than by topic. Each chapter focuses on one technique: what it is, and what results and applications it yields.



Complexity Theory And The Social Sciences


Complexity Theory And The Social Sciences
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Author : David Byrne
language : en
Publisher: Routledge
Release Date : 2002-01-04

Complexity Theory And The Social Sciences written by David Byrne and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-04 with Social Science categories.


Chaos and complexity are the new buzz words in both science and contemporary society. The ideas they represent have enormous implications for the way we understand and engage with the world. Complexity Theory and the Social Sciences introduces students to the central ideas which surround the chaos/complexity theories. It discusses key concepts before using them as a way of investigating the nature of social research. By applying them to such familiar topics as urban studies, education and health, David Byrne allows readers new to the subject to appreciate the contribution which complexity theory can make to social research and to illuminating the crucial social issues of our day.



Complexity


Complexity
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Author : Nam P. Suh
language : en
Publisher: Oxford University Press, USA
Release Date : 2005

Complexity written by Nam P. Suh and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.


Suh (mechanical engineering, Massachusetts, Institute of Technology) offers a general theoretical framework that may be used to solve complexity problems in engineering, science, and even in certain nontechnical areas.



Parameterized Complexity Theory


Parameterized Complexity Theory
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Author : J. Flum
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-01

Parameterized Complexity Theory written by J. Flum and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-01 with Computers categories.


Parameterized complexity theory is a recent branch of computational complexity theory that provides a framework for a refined analysis of hard algorithmic problems. The central notion of the theory, fixed-parameter tractability, has led to the development of various new algorithmic techniques and a whole new theory of intractability. This book is a state-of-the-art introduction to both algorithmic techniques for fixed-parameter tractability and the structural theory of parameterized complexity classes, and it presents detailed proofs of recent advanced results that have not appeared in book form before. Several chapters are each devoted to intractability, algorithmic techniques for designing fixed-parameter tractable algorithms, and bounded fixed-parameter tractability and subexponential time complexity. The treatment is comprehensive, and the reader is supported with exercises, notes, a detailed index, and some background on complexity theory and logic. The book will be of interest to computer scientists, mathematicians and graduate students engaged with algorithms and problem complexity.



Complexity Theory And The Politics Of Education


Complexity Theory And The Politics Of Education
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Author :
language : en
Publisher: BRILL
Release Date : 2010-01-01

Complexity Theory And The Politics Of Education written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Education categories.


Complexity theory has become a major influence in discussions about the theory and practice of education. This book focuses on a question which so far has received relatively little attention in such discussions, which is the question of the politics of complexity. The chapters in this book engage with this question in a range of different ways. Whereas some contributions make a case for the promotion of complexity in education, others focus more explicitly on questions concerning the reduction of complexity in and through education. The chapters do so using theoretical, historical and empirical arguments, paying attention to a range of different educational settings (including early childhood education, school education, post-compulsory education, lifelong learning and work-based education), and focusing on different aspects of these practices (such as curriculum, pedagogy, assessment, architecture, and management). Taken together the chapters not only reveal the potential of complexity for engaging with questions about the politics of education in new and different ways. They also provide examples of a more reflexive engagement with the politics of complexity in education itself.



Chaos And Complexity Theory In World Politics


Chaos And Complexity Theory In World Politics
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Author : Sefika Sule Ercetin
language : en
Publisher:
Release Date : 2014-05

Chaos And Complexity Theory In World Politics written by Sefika Sule Ercetin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05 with Chaotic behavior in systems categories.


"This book brings attention to new developments in global politics within the last few years, demonstrating various issues in international relations and the application of chaos theory within this field"--



Complexity


Complexity
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Author : Nam P. Suh
language : en
Publisher: Oxford University Press
Release Date : 2005-02-24

Complexity written by Nam P. Suh and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-24 with Technology & Engineering categories.


Nam P. Suh focussed his axiomatic design theories on methods to understand and deal with complexity. Suh is a well-respected designer and researcher in the fields of manufacturing and composite materials. He is best known for his systems that aim to speed up and simplify the process of design for manufacturing. The 'axioms' in axiomatic design refer to a process to help engineers reduce design specifications down to their simplest components, so that the engineers can produce the simplest possible solution to a problem. Complexity, besides being a key area of burgeoning research in disciplines interested in complex systems and chaos theory (like computer science and physics), is a complicating factor in engineering design that many engineers find difficult to overcome. Suh's multidisciplinary exploration of complex systems is meant to eliminate much of the confusion and allow engineers to accommodate complexity within simple, elegant design solutions.