Complexity

Complexity
Author: Mitchell M. Waldrop
Publsiher: Simon and Schuster
Total Pages: 390
Release: 1993-09
Genre: Mathematics
ISBN: 9780671872342

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A look at the rebellious thinkers who are challenging old ideas with their insights into the ways countless elements of complex systems interact to produce spontaneous order out of confusion

An Introduction to Kolmogorov Complexity and Its Applications

An Introduction to Kolmogorov Complexity and Its Applications
Author: Ming Li,Paul Vitanyi
Publsiher: Springer Science & Business Media
Total Pages: 655
Release: 2013-03-09
Genre: Mathematics
ISBN: 9781475726060

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Briefly, we review the basic elements of computability theory and prob ability theory that are required. Finally, in order to place the subject in the appropriate historical and conceptual context we trace the main roots of Kolmogorov complexity. This way the stage is set for Chapters 2 and 3, where we introduce the notion of optimal effective descriptions of objects. The length of such a description (or the number of bits of information in it) is its Kolmogorov complexity. We treat all aspects of the elementary mathematical theory of Kolmogorov complexity. This body of knowledge may be called algo rithmic complexity theory. The theory of Martin-Lof tests for random ness of finite objects and infinite sequences is inextricably intertwined with the theory of Kolmogorov complexity and is completely treated. We also investigate the statistical properties of finite strings with high Kolmogorov complexity. Both of these topics are eminently useful in the applications part of the book. We also investigate the recursion theoretic properties of Kolmogorov complexity (relations with Godel's incompleteness result), and the Kolmogorov complexity version of infor mation theory, which we may call "algorithmic information theory" or "absolute information theory. " The treatment of algorithmic probability theory in Chapter 4 presup poses Sections 1. 6, 1. 11. 2, and Chapter 3 (at least Sections 3. 1 through 3. 4).

Computational Complexity

Computational Complexity
Author: Sanjeev Arora,Boaz Barak
Publsiher: Cambridge University Press
Total Pages: 609
Release: 2009-04-20
Genre: Computers
ISBN: 9780521424264

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

Descriptive Complexity

Descriptive Complexity
Author: Neil Immerman
Publsiher: Springer Science & Business Media
Total Pages: 275
Release: 2012-12-06
Genre: Computers
ISBN: 9781461205395

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By virtue of the close relationship between logic and relational databases, it turns out that complexity has important applications to databases such as analyzing the parallel time needed to compute a query, and the analysis of nondeterministic classes. This book is a relatively self-contained introduction to the subject, which includes the necessary background material, as well as numerous examples and exercises.

Think Complexity

Think Complexity
Author: Allen Downey
Publsiher: "O'Reilly Media, Inc."
Total Pages: 159
Release: 2012-03-02
Genre: Computers
ISBN: 9781449314637

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Enhances Python skills by working with data structures and algorithms and gives examples of complex systems using exercises, case studies, and simple explanations.

Agile Project Management and Complexity

Agile Project Management and Complexity
Author: Czesław Mesjasz,Katarzyna Bartusik,Tomasz Małkus,Mariusz Sołtysik
Publsiher: Routledge
Total Pages: 91
Release: 2022-04-06
Genre: Business & Economics
ISBN: 9781000567496

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This research monograph presents an inter-disciplinary study of the impact, and current status, of applications of complexity-related concepts in the early stages of development of Agile Project Management (APM). The results serve as an introduction for exploring more profound relations between complexity-related ideas and APM in the future. The increasing complexity of software projects and their environment in the 1990s constituted the main determinants of the development of the family of methodological frameworks called Agile Project Management. Development of APM has been shaped by a broadly defined area of research called complexity science or complexity theory based on complex adaptive systems (CAS) and on their characteristics: Complexity, chaos, the edge of chaos, emerging properties, non-linearity, self-organization, etc. In the 21st century, due to the expansion of Agile beyond software development, the challenges deriving from the complexity of projects and the environment are even more urgent or compelling. Such phenomena demand more profound inter- and multi-disciplinary studies. This book examines the impact of applications of complexity-related ideas deriving from intuitive complexity and from complexity science in the early stages of development of the Agile methodological frameworks in project management and considers the current status of those applications. It questions the usefulness of those applications for the practice and theory of APM, and then proposes a conceptual framework for further theoretical studies and several ways of improvement and refinement of the Agile Project Management necessary to deal with broadly defined complexity in project management. Requiring a medium-level knowledge of complexity studies and knowledge of project management, this book is written for the research community studying the links between the various methodological frameworks included in APM and complexity-related ideas. It will also be interesting for studies of the impact of complexity on modern management, and for master’s students on IT and management courses.

Nonlinearity Complexity and Randomness in Economics

Nonlinearity  Complexity and Randomness in Economics
Author: Stefano Zambelli,Donald A. R. George
Publsiher: John Wiley & Sons
Total Pages: 262
Release: 2012-01-17
Genre: Business & Economics
ISBN: 9781118300435

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Nonlinearity, Complexity and Randomness in Economicspresents a variety of papers by leading economists, scientists, andphilosophers who focus on different aspects of nonlinearity,complexity and randomness, and their implications for economics. Atheme of the book is that economics should be based on algorithmic,computable mathematical foundations. Features an interdisciplinary collection of papers byeconomists, scientists, and philosophers Presents new approaches to macroeconomic modelling, agent-basedmodelling, financial markets, and emergent complexity Reveals how economics today must be based on algorithmic,computable mathematical foundations

Visualizing Complexity

Visualizing Complexity
Author: Darjan Hil,Nicole Lachenmeier
Publsiher: Birkhäuser
Total Pages: 232
Release: 2022-05-09
Genre: Architecture
ISBN: 9783035625066

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How can you turn dry statistics into attractive and informative graphs? How can you present complex data sets in an easily understandable way? How can you create narrative diagrams from unstructured data? This handbook of information design answers these questions. Nicole Lachenmeier and Darjan Hil condense their extensive professional experience into an illustrated guide that offers a modular design system comprised of 80 elements. Their systematic design methodology makes it possible for anyone to visualize complex data attractively and using different perspectives. At the intersection of design, journalism, communication and data science, Visualizing Complexity opens up new ways of working with abstract data and invites readers to try their hands at information design.