The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and $q$-series

The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and $q$-series
Title The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and $q$-series PDF eBook
Author Ken Ono
Publisher American Mathematical Soc.
Pages 226
Release 2004
Genre Mathematics
ISBN 0821833685

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Chapter 1.

The web of modularity

The web of modularity
Title The web of modularity PDF eBook
Author Ken Ono
Publisher
Pages 216
Release 2004
Genre
ISBN 9780821833681

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Modular Web Design

Modular Web Design
Title Modular Web Design PDF eBook
Author Nathan Curtis
Publisher New Riders
Pages 495
Release 2010-04-07
Genre Computers
ISBN 0132104865

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User experience design teams often suffer from a decentralized, blank canvas approach to creating and documenting a design solution for each new project. As teams repeatedly reinvent screen designs, inconsistency results, and IT teams scramble to pick up the pieces. Pattern libraries only go so far, suggesting general solutions to common problems instead of offering concrete, specific design treatments. At times, documented solutions turn into a costly mess of unclear expectations, unrealistic goals, and abandoned work. Enter components, each of which represents a chunk of a Web page. Designers can produce wireframes, mockups, or markup far more efficiently reusing components based on an established design system. Rather than limit innovation, components enable designers to render solved design frameworks quickly and to focus on the problem at hand, drastically improving the quality and rate of production. In addition, teams develop a deeper baseline for collaboration, a platform for governance, and a structure for useful and predictable documentation. This book defines the role of components and why they matter, maps out how to organize and build a component library, discusses how to use components in practice, and teaches a process for documenting and maintaining components.

Adaptive Web Services for Modular and Reusable Software Development: Tactics and Solutions

Adaptive Web Services for Modular and Reusable Software Development: Tactics and Solutions
Title Adaptive Web Services for Modular and Reusable Software Development: Tactics and Solutions PDF eBook
Author Ortiz, Guadalupe
Publisher IGI Global
Pages 415
Release 2012-09-30
Genre Computers
ISBN 1466620900

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Web services provide systems with great flexibility and easier maintenance which result in better ways to communicate and distribute applications. There are good procedures in place for the design, development, and management of Web services; however, there are areas in which Web service adaptation is required. To preserve the loosely coupled approach of Web services, service adaptations should be implemented appropriately. Adaptive Web Services for Modular and Reusable Software Development: Tactics and Solutions includes current research on the area of Web service adaptation while embarking upon the different aspects related to Web services. This collection provides an overview of existing solutions for service adaption in different development scopes as well as covers a wide variety of challenges which emerge. It aims to keep industry professionals as well as academic researchers up to date with the latest research results.

Managing in the Modular Age

Managing in the Modular Age
Title Managing in the Modular Age PDF eBook
Author Raghu Garud
Publisher John Wiley & Sons
Pages 424
Release 2009-02-09
Genre Business & Economics
ISBN 1405141948

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This book brings together seminal articles by leading scholars of technological and organizational systems, exploring the impact of 'modularity'. Modularity refers to an ability to take apart and put together differenct products and networks, or to 'mix and match' components in order to meet different user specifications. This is of key importance today where new systems such as the World Wide Web and many areas of the computer industry depend on it. The volume pulls together and defines an exciting new area of inquiry: into how our 'modular age' is reshaping the business eco-system. Includes contributions from leading scholars of technology and organization Modularity refers to an ability to take apart and put together different products and systems, or to 'mix and match' components in order to meet different user specifications. Consolidates and defines an area of inquiry that is becoming increasingly important with the development of web-based and 'network' industries. Sensitizes readers to the complexity of issues surrounding new modular products and systems created by e-business Encourages readers to make connections among different levels and disciplines. Initiates a debate around issues of modularity. Includes a commentary co-authored by the late Nobel Laureate Herbert A. Simon to whom the book is dedicated.

Modular Forms, a Computational Approach

Modular Forms, a Computational Approach
Title Modular Forms, a Computational Approach PDF eBook
Author William A. Stein
Publisher American Mathematical Soc.
Pages 290
Release 2007-02-13
Genre Mathematics
ISBN 0821839608

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This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments. Its novelty lies in its computational emphasis throughout: Stein not only defines what modular forms are, but shows in illuminating detail how one can compute everything about them in practice. This is illustrated throughout the book with examples from his own (entirely free) software package SAGE, which really bring the subject to life while not detracting in any way from its theoretical beauty. The author is the leading expert in computations with modular forms, and what he says on this subject is all tried and tested and based on his extensive experience. As well as being an invaluable companion to those learning the theory in a more traditional way, this book will be a great help to those who wish to use modular forms in applications, such as in the explicit solution of Diophantine equations. There is also a useful Appendix by Gunnells on extensions to more general modular forms, which has enough in it to inspire many PhD theses for years to come. While the book's main readership will be graduate students in number theory, it will also be accessible to advanced undergraduates and useful to both specialists and non-specialists in number theory. --John E. Cremona, University of Nottingham William Stein is an associate professor of mathematics at the University of Washington at Seattle. He earned a PhD in mathematics from UC Berkeley and has held positions at Harvard University and UC San Diego. His current research interests lie in modular forms, elliptic curves, and computational mathematics.

Modularity

Modularity
Title Modularity PDF eBook
Author Werner Callebaut
Publisher MIT Press
Pages 480
Release 2005
Genre Computers
ISBN 9780262033268

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Modularity—the attempt to understand systems as integrations of partially independent and interacting units—is today a dominant theme in the life sciences, cognitive science, and computer science. The concept goes back at least implicitly to the Scientific (or Copernican) Revolution, and can be found behind later theories of phrenology, physiology, and genetics; moreover, art, engineering, and mathematics rely on modular design principles. This collection broadens the scientific discussion of modularity by bringing together experts from a variety of disciplines, including artificial life, cognitive science, economics, evolutionary computation, developmental and evolutionary biology, linguistics, mathematics, morphology, paleontology, physics, theoretical chemistry, philosophy, and the arts. The contributors debate and compare the uses of modularity, discussing the different disciplinary contexts of "modular thinking" in general (including hierarchical organization, near-decomposability, quasi-independence, and recursion) or of more specialized concepts (including character complex, gene family, encapsulation, and mosaic evolution); what modules are, why and how they develop and evolve, and the implication for the research agenda in the disciplines involved; and how to bring about useful cross-disciplinary knowledge transfer on the topic. The book includes a foreword by the late Herbert A. Simon addressing the role of near-decomposability in understanding complex systems. Contributors: Lee Altenberg, Lauren W. Ancel-Meyers, Carl Anderson, Robert B. Brandon, Angela D. Buscalioni, Raffaele Calabretta, Werner Callebaut, Anne De Joan, Rafael Delgado-Buscalioni, Gunther J. Eble, Walter Fontana, Fernand Gobet, Alicia de la Iglesia, Slavik V. Jablan, Luigi Marengo, Daniel W. McShea, Jason Mezey, D. Kimbrough Oller, Domenico Parisi, Corrado Pasquali, Diego Rasskin-Gutman, Gerhard Schlosser, Herbert A. Simon, Roger D. K. Thomas, Marco Valente, Boris M. Velichkovsky, Gunter P. Wagner, Rasmus G. Winter Vienna Series in Theoretical Biology