An Introduction To Q Analysis

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An Introduction To Q Analysis

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Author : Warren P. Johnson
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-10-06

An Introduction To Q Analysis written by Warren P. Johnson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-06 with Education categories.

Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to q q-analysis, a subject consisting primarily of identities between certain kinds of series and products. Many applications of these identities to combinatorics and number theory are developed in detail. There are numerous exercises to help students appreciate the beauty and power of the ideas, and the history of the subject is kept consistently in view. The book has few prerequisites beyond calculus. It is well suited to a capstone course, or for self-study in combinatorics or classical analysis. Ph.D. students and research mathematicians will also find it useful as a reference.

Complexity Language And Life Mathematical Approaches

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Author : John L. Casti
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Complexity Language And Life Mathematical Approaches written by John L. Casti 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 2012-12-06 with Mathematics categories.

In May 1984 the Swedish Council for Scientific Research convened a small group of investigators at the scientific research station at Abisko, Sweden, for the purpose of examining various conceptual and mathematical views of the evolution of complex systems. The stated theme of the meeting was deliberately kept vague, with only the purpose of discussing alternative mathematically based approaches to the modeling of evolving processes being given as a guideline to the participants. In order to limit the scope to some degree, it was decided to emphasize living rather than nonliving processes and to invite participants from a range of disciplinary specialities spanning the spectrum from pure and applied mathematics to geography and analytic philosophy. The results of the meeting were quite extraordinary; while there was no intent to focus the papers and discussion into predefined channels, an immediate self-organizing effect took place and the deliberations quickly oriented themselves into three main streams: conceptual and formal structures for characterizing sys tem complexity; evolutionary processes in biology and ecology; the emergence of complexity through evolution in natural lan guages. The chapters presented in this volume are not the proceed ings of the meeting. Following the meeting, the organizers felt that the ideas and spirit of the gathering should be preserved in some written form, so the participants were each requested to produce a chapter, explicating the views they presented at Abisko, written specifically for this volume. The results of this exercise form the volume you hold in your hand.

Basic Modern Theory Of Linear Complex Analytic Q Difference Equations

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Author : Jacques Sauloy
language : en
Publisher: American Mathematical Society
Release Date : 2024-11-06

Basic Modern Theory Of Linear Complex Analytic Q Difference Equations written by Jacques Sauloy and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-06 with Mathematics categories.

The roots of the modern theories of differential and $q$-difference equations go back in part to an article by George D. Birkhoff, published in 1913, dealing with the three ?sister theories? of differential, difference and $q$-difference equations. This book is about $q$-difference equations and focuses on techniques inspired by differential equations, in line with Birkhoff's work, as revived over the last three decades. It follows the approach of the Ramis school, mixing algebraic and analytic methods. While it uses some $q$-calculus and is illustrated by $q$-special functions, these are not its main subjects. After a gentle historical introduction with emphasis on mathematics and a thorough study of basic problems such as elementary $q$-functions, elementary $q$-calculus, and low order equations, a detailed algebraic and analytic study of scalar equations is followed by the usual process of transforming them into systems and back again. The structural algebraic and analytic properties of systems are then described using $q$-difference modules (Newton polygon, filtration by the slopes). The final chapters deal with Fuchsian and irregular equations and systems, including their resolution, classification, Riemann-Hilbert correspondence, and Galois theory. Nine appendices complete the book and aim to help the reader by providing some fundamental yet not universally taught facts. There are 535 exercises of various styles and levels of difficulty. The main prerequisites are general algebra and analysis as taught in the first three years of university. The book will be of interest to expert and non-expert researchers as well as graduate students in mathematics and physics.

An Introduction To Communication Network Analysis

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Author : George Kesidis
language : en
Publisher: John Wiley & Sons
Release Date : 2007-08-24

An Introduction To Communication Network Analysis written by George Kesidis and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-24 with Computers categories.

A self-contained text on modeling and performance evaluation of communication networks This quantitative book focuses on the real issues behind modeling and analysis of communication networks. The author covers a wide variety of topical networking subject matter based on the provided background material in probability, Markov chains, and queues. Leveraging this material, the author explores topics in local multiplexing and routing over three successive chapters, stressing both continuous-time and discrete-time contexts. The remaining chapters focus more directly on networking, such as traffic shaping and multiplexing, static routing, dynamic routing, and peer-to-peer file sharing systems. Providing more rigorous and technically deep coverage than most commonly used networking textbooks, An Introduction to Communication Network Analysis covers classical (e.g., queuing theory) and modern (e.g., pricing) aspects of networking in a clear, accessible manner. Chapters include: * Review of Elementary Probability Theory * Markov Chains * Introduction to Queuing Theory * Local Multiplexing * Queuing Networks with Static Routing * Dynamic Routing with Incentives * Peer-to-Peer File Sharing with Incentives Appendices include additional background information, solutions, and references for selected problems, making this an invaluable text for graduate-level students and networking researchers alike.

An Introduction To Multivariate Techniques For Social And Behavioural Sciences

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Author : Spencer Bennett
language : en
Publisher: Springer
Release Date : 1976-01-01

An Introduction To Multivariate Techniques For Social And Behavioural Sciences written by Spencer Bennett and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-01-01 with Social Science categories.

A Comprehensive Treatment Of Q Calculus

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Author : Thomas Ernst
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-08

A Comprehensive Treatment Of Q Calculus written by Thomas Ernst 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 2012-09-08 with Mathematics categories.

To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.​

An Introduction To Q Analysis

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Author : John R. Beaumont
language : en
Publisher:
Release Date : 1982-01-01

An Introduction To Q Analysis written by John R. Beaumont and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-01 with Algebraic topology categories.

Q Series Their Development And Application In Analysis Number Theory Combinatorics Physics And Computer Algebra

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Author : George E. Andrews
language : en
Publisher: American Mathematical Soc.
Release Date : 1986

Q Series Their Development And Application In Analysis Number Theory Combinatorics Physics And Computer Algebra written by George E. Andrews and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.

Integrates developments and related applications in $q$-series with a historical development of the field. This book develops important analytic topics (Bailey chains, integrals, and constant terms) and applications to additive number theory.

Q Methodology

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Author : Bruce McKeown
language : en
Publisher: SAGE Publications
Release Date : 2013-06-11

Q Methodology written by Bruce McKeown and has been published by SAGE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-11 with Psychology categories.

Direct, well-organized, and easy to follow, Q Methodology, Second Edition, by Bruce McKeown and Dan B. Thomas, reviews the philosophical foundations of subjective communicability (concourse theory), operant subjectivity, and quantum-theoretical aspects of Q as relevant to the social and behavioral sciences. The authors discuss data-gathering techniques (communication concourses, Q samples, and Q sorting), statistical techniques (correlation and factor analysis and the important calculation of factor scores), and strategies for conducting small person-sample research along Q methodological lines.

Recalibrating The Quantitative Revolution In Geography

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Author : Ferenc Gyuris
language : en
Publisher: Routledge
Release Date : 2022-05-17

Recalibrating The Quantitative Revolution In Geography written by Ferenc Gyuris and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-17 with Science categories.

This book brings together international research on the quantitative revolution in geography. It offers perspectives from a wide range of contexts and national traditions that decenter the Anglo-centric discussions. The mid-20th-century quantitative revolution is frequently regarded as a decisive moment in the history of geography, transforming it into a modern and applied spatial science. This book highlights the different temporalities and spatialities of local geographies laying the ground for a global history of a specific mode of geographical thought. It contributes to the contemporary discussions around the geographies and mobilities of knowledge, notions of worlding, linguistic privilege, decolonizing and internationalizing of geographic knowledge. This book will be of interest to researchers, postgraduates and advance students in geography and those interested in the spatial sciences.