Download or read book An Introduction to Frames and Riesz Bases written by Ole Christensen and published by Birkhäuser. This book was released on 2016-05-24 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems. Compared with the first edition, more emphasis is put on explicit constructions with attractive properties. Based on the exiting development of frame theory over the last decade, this second edition now includes new sections on the rapidly growing fields of LCA groups, generalized shift-invariant systems, duality theory for as well Gabor frames as wavelet frames, and open problems in the field. Key features include: *Elementary introduction to frame theory in finite-dimensional spaces * Basic results presented in an accessible way for both pure and applied mathematicians * Extensive exercises make the work suitable as a textbook for use in graduate courses * Full proofs includ ed in introductory chapters; only basic knowledge of functional analysis required * Explicit constructions of frames and dual pairs of frames, with applications and connections to time-frequency analysis, wavelets, and generalized shift-invariant systems * Discussion of frames on LCA groups and the concrete realizations in terms of Gabor systems on the elementary groups; connections to sampling theory * Selected research topics presented with recommendations for more advanced topics and further readin g * Open problems to stimulate further research An Introduction to Frames and Riesz Bases will be of interest to graduate students and researchers working in pure and applied mathematics, mathematical physics, and engineering. Professionals working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find this book a useful self-study reference. Review of the first edition: "Ole Christensen’s An Introduction to Frames and Riesz Bases is a first-rate introduction to the field ... . The book provides an excellent exposition of these topics. The material is broad enough to pique the interest of many readers, the included exercises supply some interesting challenges, and the coverage provides enough background for those new to the subject to begin conducting original research." — Eric S. Weber, American Mathematical Monthly, Vol. 112, February, 2005

Download or read book An Introduction to Frames written by Jelena Kovacevic and published by Now Publishers Inc. This book was released on 2008 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Frames is an introduction to redundant signal representations called frames. These representations have recently emerged as yet another powerful tool in the signal processing toolbox, spurred by a host of recent applications requiring some level of redundancy. It asks the question: Why and where should one use frames? And answers emphatically: Anywhere where redundancy is a must. It then goes on to discuss a host of applications that richly illustrate that answer. An Introduction to Frames is geared primarily toward engineering students and those without extensive mathematical training. It is also intended to help researchers and practitioners decide whether frames are the right tool for their application.

Download or read book Frames for Undergraduates written by Deguang Han and published by American Mathematical Soc.. This book was released on 2007 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The early chapters contain the topics from linear algebra that students need to know in order to read the rest of the book. The later chapters are devoted to advanced topics, which allow students with more experience to study more intricate types of frames. Toward that end, a Student Presentation section gives detailed proofs of fairly technical results with the intention that a student could work out these proofs independently and prepare a presentation to a class or research group. The authors have also presented some stories in the Anecdotes section about how this material has motivated and influenced their students."--BOOK JACKET.

Download or read book Frames and Bases written by Ole Christensen and published by Springer Science & Business Media. This book was released on 2008-06-05 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a streamlined presentation of the author’s successful work, An Introduction to Frames and Riesz Bases, this book develops frame theory as part of a dialogue between mathematicians and engineers. Newly added sections on applications will help mathematically oriented readers to see where frames are used in practice and engineers to discover the mathematical background for applications in their field. The book presents basic results in an accessible way and includes extensive exercises.

Download or read book Finite Frames written by Peter G. Casazza and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas. The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject. Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, it covers topics including: * Finite Frame Constructions; * Optimal Erasure Resilient Frames; * Quantization of Finite Frames; * Finite Frames and Compressed Sensing; * Group and Gabor Frames; * Fusion Frames. Despite the variety of its chapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory. With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum computing, medicine, and more. It is designed to be used as a supplemental textbook, self-study guide, or reference book.

Download or read book Frames and Concept Types written by Thomas Gamerschlag and published by Springer Science & Business Media. This book was released on 2013-11-26 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume showcases the potential richness of frame representations. The presentation includes introductory articles on the application of frames to linguistics and philosophy of science, offering readers the tools to conduct the interdisciplinary investigation of concepts that frames allow. * Introductory articles on the application of frames to linguistics and philosophy of science * Frame analysis of changes in scientific concepts * Event frames and lexical decomposition * Properties, frame attributes and adjectives * Frames in concept composition * Nominal concept types and determination​ "This volume deals with frame representations and their relations to concept types in linguistics and philosophy of science. It aims at reviving concepts and frames as a common model across disciplines for representing semantic and conceptual knowledge. Departing from the general assumption that frames are not just an arbitrary format of representation but essential to human cognition, a number of case studies apply frames as an analytical tool to a wide range of phenomena, from changes in scientific concepts to particular linguistic phenomena. This provides new insights into long-standing semantic issues, such as the lexical representation of verbs (as predicative frames specifying particular event descriptions or situation types and their participants), adjectives and nominals (as concept frames, which provide attributes and properties of an entity), as well as modification, complementation, possessive constructions, compounding, nominal concept types, determination, or definiteness marking." Bert Gehrke, Pompeu, Fabra University, Barcelona, Spain

Download or read book Frames and Locales written by Jorge Picado and published by Springer Science & Business Media. This book was released on 2011-10-21 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory. No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories.

Download or read book From Frenet to Cartan The Method of Moving Frames written by Jeanne N. Clelland and published by American Mathematical Soc.. This book was released on 2017-03-29 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of moving frames originated in the early nineteenth century with the notion of the Frenet frame along a curve in Euclidean space. Later, Darboux expanded this idea to the study of surfaces. The method was brought to its full power in the early twentieth century by Elie Cartan, and its development continues today with the work of Fels, Olver, and others. This book is an introduction to the method of moving frames as developed by Cartan, at a level suitable for beginning graduate students familiar with the geometry of curves and surfaces in Euclidean space. The main focus is on the use of this method to compute local geometric invariants for curves and surfaces in various 3-dimensional homogeneous spaces, including Euclidean, Minkowski, equi-affine, and projective spaces. Later chapters include applications to several classical problems in differential geometry, as well as an introduction to the nonhomogeneous case via moving frames on Riemannian manifolds. The book is written in a reader-friendly style, building on already familiar concepts from curves and surfaces in Euclidean space. A special feature of this book is the inclusion of detailed guidance regarding the use of the computer algebra system Maple™ to perform many of the computations involved in the exercises.

Download or read book Framing in Discourse written by Deborah Tannen and published by Oxford University Press, USA. This book was released on 1993 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of framing has been pivotal in research on social interaction among anthropologists, sociologists, psychologists, and linguists. This collection shows how the discourse analysis of frames can be applied to a range of social contexts. Tannen provides a seminal theoretical framework for conceptualizing the relationship between frames and schemas as well as a methodology for the discourse analysis of framing in interaction. Each chapter makes a unique theoretical contribution to frames theory while showing how discourse analysis can elucidate the linguistic means by which framing is accomplished in a particular interactional setting. Applied to such a wide range of contexts as a medical examination, psychotic discourse, gender differences in sermon performance, boys' "sportscasting" their own play, teasing among friends, a comparison of Japanese and American discussion groups, and sociolinguistic interviews, the discourse analysis of framing emerges here as a fruitful new avenue for interaction analysis.

Download or read book Immanent Frames written by John Caruana and published by State University of New York Press. This book was released on 2018-05-31 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores a growing number of films and filmmakers that challenge the strict boundaries between belief and unbelief. For some time now, thinkers across the humanities and social sciences have increasingly called into question the once-dominant view of the relationship between modernity and secularism, prompting some to speak of a “postsecular turn.” Until now, film studies has largely been silent about this development, even though cinema itself has been a major vehicle for such reflection. This fact became inescapable in 2011 when Terrence Malick’s The Tree of Life and Lars von Trier’s Melancholia were released within days of each other. While these two audacious and controversial films present seemingly opposite perspectives—the former a thoughtful meditation on faith, the latter a portrayal of nontriumphalist atheism—together they raise critical questions about transcendence and immanence in modern life. These films are, however, only the most conspicuous of a growing body of works that call forth similar and related questions—what this collection aptly calls “postsecular cinema.” Taking the nearly simultaneous release of The Tree of Life and Melancholia as its starting point and framing device, this pioneering collection sets out to establish the idea of postsecular cinema as a distinct body of films and a viable critical category. Adopting a film-philosophy approach, one group of essays examines Malick’s and von Trier’s films, while another looks at works by Chantal Akerman, Denys Arcand, the Dardenne brothers, and John Michael McDonagh, among others. The volume closes with two important interviews with Luc Dardenne and Jean-Luc Nancy that invite us to reflect more deeply on some of the central concerns of postsecular cinema. John Caruana is Associate Professor of Philosophy at Ryerson University. Mark Cauchi is Associate Professor in the Department of Humanities at York University.

Download or read book Integrative Framing Analysis written by Viorela Dan and published by Routledge. This book was released on 2017-09-13 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much of framing scholarship focuses either exclusively on the analysis of words or of visuals. This book aims to address this gap by proposing a six-step approach to the analysis of verbal frames, visual frames and the interplay between them—an integrative framing analysis. This approach is then demonstrated through a study investigating the way words and visuals are used to frame people living with HIV/AIDS in various communication contexts: the news, public service announcements and special interest publications. This application of integrative framing analysis reveals differences between verbal frames and visual frames in the same messages, underscoring the importance of looking at these frames together.

Download or read book Fluid Frames written by Corrie Francis Parks and published by CRC Press. This book was released on 2020-03-27 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Once the realm of a few stalwart artists, animating with sand, clay, and wet paint is now accessible for all filmmakers with an experimental frame of mind. Created directly under the camera with frame-by-frame stopmotion, this "fluid frame animation" provides a completely unique visual world for animators. While pioneering animators such as Caroline Leaf, Alexander Petrov, and Ishu Patel paved the way, the availability of frame capture programs, compositing software and digital workflow is opening up new avenues of exploration for artists of all experience levels. This book will walk you through setting up your studio, choosing and working with your materials, and combining the physical under-the-camera production with digital compositing and effects to enhance your animation. · Firsthand advice from experimental animation veterans and rising stars in the field · Covers the digital aspects of experimental animation, including the latest techniques in After Effects CC · Tutorials and source files for under-the-camera approaches and After Effects enhancements on the book’s companion website In addition to the practical advice, you’ll find historical and contemporary examples of successful films, step-by-step tutorials for working under the camera and working with the footage digitally, and interviews and tips from artists who are currently pushing the boundaries in these experimental mediums. Stacked with information and images from over 30 artists, this book is an indispensable resource for both the student and professional wishing to get their hands dirty in an increasingly digital world.

Download or read book An Introduction to the Therapeutic Frame written by Anne Gray and published by Routledge. This book was released on 2013-10-30 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for psychotherapists and counsellors in training, An Introduction to the Therapeutic Frame clarifies the concept of the frame - the way of working set out in the first meeting between therapist and client. This Classic Edition of the book includes a brand new introduction by the author. Anne Gray, an experienced psychotherapist and teacher, uses lively and extensive case material to show how the frame can both contain feelings and further understanding within the therapeutic relationship. She takes the reader through each stage of therapeutic work, from the first meeting to the final contact, and looks at those aspects of management that beginners often find difficult, such as fee payment, letters and telephone calls, supervision and evaluation. Her practical advice on how to handle these situations will be invaluable to trainees as well as to those involved in their training.

Download or read book Don t Think of an Elephant written by George Lakoff and published by Scribe Publications. This book was released on 2005 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Don't Think of An Elephant is the antidote to decades of conservative strategising and the right's stranglehold on political dialogue. More specifically, it is the definitive handbook for understanding and communicating effectively about key social and political issues. George Lakoff explains in detail exactly how the right has managed to co-opt traditional values in order to popularise its political agenda. He also provides examples of how the centre-left can address the community's core values and re-frame political debate to establish a civil discourse that reinforces progressive positions. Don't Think of An Elephant provides a compelling linguistic analysis of political campaigning. But, more importantly, it demonstrates that real political values and ideas must provide the foundation for political progress by the centre-left.

Download or read book An Introduction to Finite Tight Frames written by Shayne F. D. Waldron and published by Springer. This book was released on 2018-02-03 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing. Featuring exercises and MATLAB examples in each chapter, the book is well suited as a textbook for a graduate course or seminar involving finite frames. The self-contained, user-friendly presentation also makes the work useful as a self-study resource or reference for graduate students, instructors, researchers, and practitioners in pure and applied mathematics, engineering, mathematical physics, and signal processing.

Download or read book Frames and Bases written by Ole Christensen and published by Birkhäuser. This book was released on 2008-07-02 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last several years, frames have become increasingly popular; they have appeared in a large number of applications, and several concrete constructions of frames of various types have been presented. Most of these constructions were based on quite direct methods rather than the classical sufficient conditions for obtaining a frame. Consequently, there is a need for an updated book on frames, which moves the focus from the classical approach to a more constructive one. Based on a streamlined presentation of the author's previous work, An Introduction to Frames and Riesz Bases, this new textbook fills a gap in the literature, developing frame theory as part of a dialogue between mathematicians and engineers. Newly added sections on applications will help mathematically oriented readers to see where frames are used in practice and engineers to discover the mathematical background for applications in their field. Key features and topics: * Results presented in an accessible way for graduate students, pure and applied mathematicians as well as engineers. * An introductory chapter provides basic results in finite-dimensional vector spaces, enabling readers with a basic knowledge of linear algebra to understand the idea behind frames without the technical complications in infinite-dimensional spaces. * Extensive exercises for use in theoretical graduate courses on bases and frames, or applications-oriented courses focusing on either Gabor analysis or wavelets. * Detailed description of frames with full proofs, an examination of the relationship between frames and Riesz bases, and a discussion of various ways to construct frames. * Content split naturally into two parts: The first part describes the theory on an abstract level, whereas the second part deals with explicit constructions of frames with applications and connections to time-frequency analysis, Gabor analysis, and wavelets. Frames and Bases: An Introductory Course will be an excellent textbook for graduate students as well as a good reference for researchers working in pure and applied mathematics, mathematical physics, and engineering. Practitioners working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find the book a useful self-study resource.

Download or read book An Introduction to Picture Framing written by Vivien Frank and published by . This book was released on 1990 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: