Tag Archives: transforms

Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics)

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Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics) by Hartmut Führ
English | Apr 6, 2005 | ISBN: 3540242597 | 193 Pages | PDF | 1 MB
This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups.

Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics)
The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.
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Wave Motion

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Wave Motion By J. Billingham, A. C. King
2006 | 476 Pages | ISBN: 0521632579 , 0521634504 | PDF | 12 MB

Wave Motion
Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.
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The Blackwell Companion to Catholicism by James J. Buckley

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The Blackwell Companion to Catholicism by James J. Buckley
English | Mar 26, 2007 | ISBN: 1405112247 | 544 Pages | PDF | 34,8 MB

The Blackwell Companion to Catholicism by James J. Buckley
The Blackwell Companion to Catholicism offers an extensive survey of the history, doctrine, practices, and global circumstances of Roman Catholicism, written by a range of distinguished and experienced Catholic writers.

– Engages its readers in an informed and informative conversation about Roman Catholic life and thought
– Embraces the local and the global, the past and the present, life and the afterlife, and a broad range of institutions and activities
– Considers both what is distinctive about Catholic life and thought, and how Catholicism overlaps with and transforms other ways of thinking and living
– Topics covered include: peacemaking, violence and wars; money, the vow of poverty and socio-economic life; art by and about Catholics; and men, women and sex
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How to Build a Low-cost Rally Car: For Marathon, Endurance, Historic and Budget-car Adventure Road Rallies

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Philip Young, "How to Build a Low-cost Rally Car: For Marathon, Endurance, Historic and Budget-car Adventure Road Rallies"
2009 | ISBN-10: 1845842081 | 96 pages | PDF | 154 MB

How to Build a Low-cost Rally Car: For Marathon, Endurance, Historic and Budget-car Adventure Road Rallies
This book sets out in graphic detail a hundred tips that cost very little but which will transform your car. For example, how a wire coat-hanger transforms an exhaust system so that it can survive the Sahara Desert, how a tube of bathroom silicone sealer waterproofs an engine, and how a garden chain ensures you don't break the engine-mountings. It offers simple, cost-effective, basic and reliable tips to ensure that any rally car stands a chance of reaching the finishing line. From the lanes of Devon at night, to romping the wilderness of Mongolia, this book is full of illustrated detailed tips, as well as pictures of typical low cost cars setting out on international events. If you are planning any road-based rally, don't even think of leaving home before you've read this book and implemented the tried and tested methods it describes so well.
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Fundamentals of Digital Image Processing by Anil K. Jain

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Fundamentals of Digital Image Processing by Anil K. Jain
English | Oct 3, 1988 | ISBN: 0133361659 | 590 Pages | PDF/DJVU | 44/7 MB
Presents a thorough overview of the major topics of digital image processing, beginning with the basic mathematical tools needed for the subject. Includes a comprehensive chapter on stochastic models for digital image processing.

Fundamentals of Digital Image Processing by Anil K. Jain
Covers aspects of image representation including luminance, color, spatial and temporal properties of vision, and digitization. Explores various image processing techniques. Discusses algorithm development (software/firmware) for image transforms, enhancement, reconstruction, and image coding.
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Essential Results of Functional Analysis

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Essential Results of Functional Analysis (Chicago Lectures in Mathematics) by Robert J. Zimmer
English | 1990-01-15 | ISBN: 0226983382 | 168 pages | PDF | 3,7 MB

Essential Results of Functional Analysis
Functional analysis is a broad mathematical area with strong connections to many domains within mathematics and physics. This book, based on a first-year graduate course taught by Robert J. Zimmer at the University of Chicago, is a complete, concise presentation of fundamental ideas and theorems of functional analysis.

It introduces essential notions and results from many areas of mathematics to which functional analysis makes important contributions, and it demonstrates the unity of perspective and technique made possible by the functional analytic approach.

Zimmer provides an introductory chapter summarizing measure theory and the elementary theory of Banach and Hilbert spaces, followed by a discussion of various examples of topological vector spaces, seminorms defining them, and natural classes of linear operators. He then presents basic results for a wide range of topics: convexity and fixed point theorems, compact operators, compact groups and their representations, spectral theory of bounded operators, ergodic theory, commutative C*-algebras, Fourier transforms, Sobolev embedding theorems, distributions, and elliptic differential operators. In treating all of these topics, Zimmer's emphasis is not on the development of all related machinery or on encyclopedic coverage but rather on the direct, complete presentation of central theorems and the structural framework and examples needed to understand them. Sets of exercises are included at the end of each chapter.

For graduate students and researchers in mathematics who have mastered elementary analysis, this book is an entrée and reference to the full range of theory and applications in which functional analysis plays a part. For physics students and researchers interested in these topics, the lectures supply a thorough mathematical grounding.
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Essential Results of Functional Analysis

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Essential Results of Functional Analysis (Chicago Lectures in Mathematics) by Robert J. Zimmer
English | 1990-01-15 | ISBN: 0226983382 | 168 pages | PDF | 3,7 MB

Essential Results of Functional Analysis
Functional analysis is a broad mathematical area with strong connections to many domains within mathematics and physics. This book, based on a first-year graduate course taught by Robert J. Zimmer at the University of Chicago, is a complete, concise presentation of fundamental ideas and theorems of functional analysis.

It introduces essential notions and results from many areas of mathematics to which functional analysis makes important contributions, and it demonstrates the unity of perspective and technique made possible by the functional analytic approach.

Zimmer provides an introductory chapter summarizing measure theory and the elementary theory of Banach and Hilbert spaces, followed by a discussion of various examples of topological vector spaces, seminorms defining them, and natural classes of linear operators. He then presents basic results for a wide range of topics: convexity and fixed point theorems, compact operators, compact groups and their representations, spectral theory of bounded operators, ergodic theory, commutative C*-algebras, Fourier transforms, Sobolev embedding theorems, distributions, and elliptic differential operators. In treating all of these topics, Zimmer's emphasis is not on the development of all related machinery or on encyclopedic coverage but rather on the direct, complete presentation of central theorems and the structural framework and examples needed to understand them. Sets of exercises are included at the end of each chapter.

For graduate students and researchers in mathematics who have mastered elementary analysis, this book is an entrée and reference to the full range of theory and applications in which functional analysis plays a part. For physics students and researchers interested in these topics, the lectures supply a thorough mathematical grounding.
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A User’s Guide to Measure Theoretic Probability

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A User's Guide to Measure Theoretic Probability By David Pollard
2001 | 366 Pages | ISBN: 0521002893 , 0521802423 | PDF | 39 MB

A User’s Guide to Measure Theoretic Probability
Rigorous probabilistic arguments, built on the foundation of measure theory introduced eighty years ago by Kolmogorov, have invaded many fields. Students of statistics, biostatistics, econometrics, finance, and other changing disciplines now find themselves needing to absorb theory beyond what they might have learned in the typical undergraduate, calculus-based probability course. This 2002 book grew from a one-semester course offered for many years to a mixed audience of graduate and undergraduate students who have not had the luxury of taking a course in measure theory. The core of the book covers the basic topics of independence, conditioning, martingales, convergence in distribution, and Fourier transforms. In addition there are numerous sections treating topics traditionally thought of as more advanced, such as coupling and the KMT strong approximation, option pricing via the equivalent martingale measure, and the isoperimetric inequality for Gaussian processes. The book is not just a presentation of mathematical theory, but is also a discussion of why that theory takes its current form. It will be a secure starting point for anyone who needs to invoke rigorous probabilistic arguments and understand what they mean.
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Desi Divas: Political Activism in South Asian American Cultural Performances

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Desi Divas: Political Activism in South Asian American Cultural Performances by Christine L. Garlough
2013 | ISBN: 161703732X | English | 240 pages | PDF | 4 MB

Desi Divas: Political Activism in South Asian American Cultural Performances
Desi Divas: Activism in South Asian American Cultural Performances is the product of five years of field research with progressive activists associated with the School for Indian Languages and Cultures (SILC), South Asian Americans Leading Together (SAALT), the feminist dance collective Post Natyam, and the grassroots feminist political organization South Asian Sisters. Christine L. Garlough explores how traditional cultural forms may be critically appropriated by marginalized groups and used as rhetorical tools to promote deliberation and debate, spur understanding and connection, broaden political engagement, and advance particular social identities. Within this framework she examines how these performance activists advocate a political commitment to both justice and care, to both deliberative discussion and deeper understanding. To consider how this might happen in diasporic performance contexts, Garlough weaves together two lines of thinking. One grows from feminist theory and draws upon a core literature concerning the ethics of care. The other comes from rhetoric, philosophy, and political science literature on recognition and acknowledgment. This dual approach is used to reflect upon South Asian American women's performances that address pressing social problems related to gender inequality, immigration rights, ethnic stereotyping, hate crimes, and religious violence.

Case study chapters address the relatively unknown history of South Asian American rhetorical performances from the early 1800s to the present. Avant-garde feminist performances by the Post Natyam dance collective appropriate women's folk practices and Hindu goddess figures make rhetorical claims about hate crimes against South Asian Americans after 9/11. In Yoni ki Bat (a South Asian American version of The Vagina Monologues) a progressive performer transforms aspects of the Mahabharata narrative to address issues of sexual violence, such as incest and rape. Throughout the volume, Garlough argues that these performers rely on calls for acknowledgment that intertwine calls for justice and care. That is, they embed their testimony in traditional cultural forms to invite interest, reflection, and connection.
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Handbook of Real-Time Fast Fourier Transforms: Algorithms to Product Testing

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Handbook of Real-Time Fast Fourier Transforms: Algorithms to Product Testing
by Winthrop W. Smith, Joanne M. Smith
English | 1995 | ISBN: 0780310918 | 468 pages | PDF | 51.89 MB

Handbook of Real-Time Fast Fourier Transforms: Algorithms to Product Testing
""This useful, logical, unbiased, FFT compendium allows the user to quickly and accurately obtain practical information to implement a solution or simply acquire a general overview without spending months gathering this information elsewhere."
-Jay Perry, Executive Vice President, Technology, Catalina Research, Inc.

"This is a practical guide for understanding and using FFTs. Win's (Winthrop Smith, author) years of experience using FFTs to solve real-world problems comes through on page after page. If you're building an FFT processor, you'll find this book indispensable."
-Tony Agnello, President, Ariel Corp.

FFTs are at the heart of ADSL, the new telecom standard (T1.413), which allows phones to transfer digital data 200 times faster and simultaneously transmit speech. Fast Fourier Transforms (FFTs) synthesize, recognize, enhance, compress, modify, or analyze signals in products such as Doppler weather radar, CT and MRI scans, AWACS radar, and satellite imaging radar. In this book, you will get the foundation and facts you need to implement FFT algorithms for many diverse applications. Key features you will put to immediate use include:
– Comparison matrices and performance measures for objective selection of weighting functions, algorithm building blocks, algorithms, algorithm mappings, arithmetic formats, and DSP chips
– Extensive algorithm examples with instructions for memory mapping and conversion to code
– An unbiased listing of the FFT features of 51 fixed-point DSP chips, including ASIC and multiprocessor chips, 13 floating-point DSP chips, and six dedicated FFT chips
– Test signals with instructions and examples on how to detect and isolate errors during: FFT algorithm/code development and debugging, and end-product operation
– Design examples for products that use frequency analysis, power spectrum estimation, linear filtering, and two-dimensional processing
– Questions and answers for selecting commercial-off-the-shelf DSP boards

An all-in-one-source for implementing real-time FFT algorithms of any length, this book will be essential to engineers and other technical innovators who want to stay on the cutting edge of FFT technology."
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