Boolean Function Complexity

Integrals Related to the Error Function presents a table of integrals related to the error function, including indefinite and improper definite integrals. Most of the formulas in this book have not be

This book explores noun phrase (NP) complexity in English, showing that it is best accounted for both by a linear and a hierarchical parameter: its length and its type of postmodifier(s). The study is methodologically unique in that it combines univariate and multivariate analyses in an investigation of four different syntactic variables. Drawing on more than three billion words of British and American data, Eva Berlage shows that the length and the structure of the NPs, along with language-external factors such as the regional variety of English, work as powerful determinants of the variation. On a theoretical level, the book reveals that the structural complexity of NPs cannot be sufficiently captured by (phrasal) node counts but that we need to incorporate the degree to which NPs are sentential. The book is designed for researchers and students interested in syntax, language variation, sociolinguistics, structural complexity and the history of English.

An illustrated journey through the past, present, and future of artificial intelligence, from popular science author Cliff Pickover.From medieval robots and Boolean algebra to facial recognition, arti

Proof complexity is a rich subject drawing on methods from logic, combinatorics, algebra and computer science. This self-contained book presents the basic concepts, classical results, current state of the art and possible future directions in the field. It stresses a view of proof complexity as a whole entity rather than a collection of various topics held together loosely by a few notions, and it favors more generalizable statements. Lower bounds for lengths of proofs, often regarded as the key issue in proof complexity, are of course covered in detail. However, upper bounds are not neglected: this book also explores the relations between bounded arithmetic theories and proof systems and how they can be used to prove upper bounds on lengths of proofs and simulations among proof systems. It goes on to discuss topics that transcend specific proof systems, allowing for deeper understanding of the fundamental problems of the subject.

Computational Complexity of Counting and Sampling provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared for researchers in enumer

Computational Complexity of Counting and Sampling provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared for researchers in enumer

This book presents and applies a framework for studying the complexity of algorithms. It is aimed at logicians, computer scientists, mathematicians and philosophers interested in the theory of computation and its foundations, and it is written at a level suitable for non-specialists. Part I provides an accessible introduction to abstract recursion theory and its connection with computability and complexity. This part is suitable for use as a textbook for an advanced undergraduate or graduate course: all the necessary elementary facts from logic, recursion theory, arithmetic and algebra are included. Part II develops and applies an extension of the homomorphism method due jointly to the author and Lou van den Dries for deriving lower complexity bounds for problems in number theory and algebra which (provably or plausibly) restrict all elementary algorithms from specified primitives. The book includes over 250 problems, from simple checks of the reader's understanding, to current open pr

This book presents high-quality original contributions on positive systems, including those with positivity in compartmental switched systems, Markovian jump systems, Boolean networks, interval observ

Analysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by-step introductio

This book stages a dialogue between international researchers from the broad fields of complexity science and narrative studies. It presents an edited collection of chapters on aspects of how narrativ

This book serves as a unique, comprehensive resource for physicians and scientists training in pulmonary medicine and learning about pulmonary function testing. Pulmonary function testing and th

Expand your Python skills by working with data structures and algorithms in a refreshing context—through an eye-opening exploration of complexity science. Whether you’re an intermediate-le

Managing Complexity: Earth Systems and Strategies for the Future introduces and explores systems and complexity in relation to near-synchronous world and environmental problems. These relate to but ar

This collection of essays explores the different ways the insights from complexity theory can be applied to law. Complexity theory – a variant of systems theory – views law as an emergent, complex, se

A comprehensive review of the impact of dietary nutraceuticals on platelet function and its relationship to cardiovascular disease Nutraceuticals and Human Blood Platelet Function offers a summa

A comprehensive text on female sexual function and dysfunction that offers a multi-disciplinary, biopsychosocial approach to diagnosis and treatment Textbook of Female Sexual Function and Dysfunction

This volume considers regional approaches to social complexity from a variety of perspectives and at a global scale.

Complexity theory including the concepts of chaos and emergence has been considered one of the most revolutionary products of the 20th century having influence on science, technology and economics amo

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and thei

Descriptive complexity theory establishes a connection between the computational complexity of algorithmic problems (the computational resources required to solve the problems) and their descriptive complexity (the language resources required to describe the problems). This groundbreaking book approaches descriptive complexity from the angle of modern structural graph theory, specifically graph minor theory. It develops a 'definable structure theory' concerned with the logical definability of graph theoretic concepts such as tree decompositions and embeddings. The first part starts with an introduction to the background, from logic, complexity, and graph theory, and develops the theory up to first applications in descriptive complexity theory and graph isomorphism testing. It may serve as the basis for a graduate-level course. The second part is more advanced and mainly devoted to the proof of a single, previously unpublished theorem: properties of graphs with excluded minors are decid

Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolved problem in mathematics. The second is of enormous practical and theoretical importance. Algebraic geometry and representation theory provide fertile ground for advancing work on these problems and others in complexity. This introduction to algebraic complexity theory for graduate students and researchers in computer science and mathematics features concrete examples that demonstrate the application of geometric techniques to real world problems. Written by a noted expert in the field, it offers numerous open questions to motivate future research. Complexity theory has rejuvenated classical geometric questions and brought different areas of mathematics together in new ways. This book will show the beautiful, interesting, and important questions that have arisen as a result.

Executive Function: Development Across the Life Span presents perspectives from leading researchers and theorists on the development of executive function from infancy to late adulthood and the factor

This book is about protein structural bioinformatics and how it can help understand and predict protein function. It covers structure-based methods that can assign and explain protein function based o

Making Sense of Lung Function Tests places lung function in a clinical context using ‘real-life’ examples. The book provides invaluable 'hands-on' guidance for trainees in pulmonary function, anaesthe

The advent of social complexity has been a longstanding debate among social scientists. Existing theories and approaches involving the origins of social complexity include environmental circumscriptio

"Small Dynamic Complexity Classes" was awarded the E.W. Beth Dissertation Prize 2016 for outstanding dissertations in the fields of logic, language, and information. The thesis studies the foundations

This work addresses the topic of philosophical complexity, which shares certain assumptions with scientific complexity, cybernetics, and General Systems Theory, but which is also developing as a subje

Geo-mathematical modelling: models from complexity science Sir Alan Wilson, Centre for Advanced Spatial Analysis, University College London Mathematical and computer models for a complexity scienc

Today’s leaders and managers have to operate in an environment characterised by complexity. What does coping with this ever- and faster-increasing degree of complexity require of them? It means that i

The last four decades have witnessed the emergence of CTC – Complexity Theories of Cities – a domain of research that applies the various complexity theories to the study of cities.Studies in this dom

One striking feature of modern political and social development has been the construction of social systems encompassing more and more groups. The increase in social complexity, the authors of this vo

If only today's technology were simpler! It's the universal lament, but it's wrong. In this provocative and informative book, Don Norman writes that the complexity of our technology must mirror the co

Strategies, Leadership and Complexity in Crisis and Emergency Operations will bring together the main themes of strategy, operational leadership, organizational dynamics and complexity in the context

This book discusses computational complexity of High Efficiency Video Coding (HEVC) encoders with coverage extending from the analysis of HEVC compression efficiency and computational complexity to th

Complexity theories gained prominence in the 1990s with a focus on self-organising and complex adaptive systems. Since then, complexity theory has become one of the fastest growing topics in both the

This work represents the third entry of the series of works on “Chaos, Complexity and Leadership”. Contents of the book are composed from broad range of chaos, complexity and their applications in mul

Contemporary theories on complex adaptive systems stem from a natural science perspective. Paul Cilliers was one of the first complexity thinkers to translate the theoretical concepts into a qualitati

The book discusses new concepts and findings in the field of pulmonary function. This function is notably associated with spirometry and gas exchange at the lungs. The technique of spirometry, its cli

Responsibility, Complexity, and Abortion: Toward a New Image of Ethical Thought draws from feminist theory, post-structuralist theory, and complexity theory to develop a new set of ethical concepts fo

This book aims to assess the nature of morphological complexity, and the properties that distinguish it from the complexity manifested in other components of language. Of the many ways languages have