1. Transfer To Faculty.gvsu.edu Find projects, links and downloadable programs aimed at helping to integrate wavelet study into the undergraduate math curriculum. Our goal for this site is to make it a center of activity for incorporating wavelets into the undergraduate curriculum. http://www.gvsu.edu/mathstat/wavelets.htm

Transferring to the new GVSU Faculty Web Server ...

2. Wavelet Analysis; Significance Levels; Confidence Intervals; Christopher Torrence and Gilbert P. Compo offer this guide on wavelet analysis with significance and confidence testing. Read the FAQ and download articles. http://paos.colorado.edu/research/wavelets

A Practical Guide to Wavelet Analysis, With significance and confidence testing Christopher Torrence Research Systems, Inc. Boulder, Colorado Gilbert P. Compo NOAA/CIRES Climate Diagnostics Center, Boulder, Colorado ** Now written using ION ** Software for Fortran, IDL, and Matlab Frequently Asked Questions (FAQ) Article: ``A Practical Guide to Wavelet Analysis'', C. Torrence and G. P. Compo, 1998. Download: 1.6M Acrobat pdf file or 4.2M Postscript file Permission to place a copy of this work on this server has been provided by the American Meteorological Society . The AMS does not guarantee that the copy provided here is an accurate copy of the published work. Wavelet Coherency and Phase Featured in:

3. Wavelets wavelets. MathSoft Wavelet Resources page links to many papers; waveletsat Imager; wavelets and their application to condition monitoring (Univ. http://www.mat.sbg.ac.at/~uhl/wav.html

WAVELETS Internet Sources (last update: April 11th, 2000 WWW - Server NEW: MT-WICE: Wavelet based Image Compression (Software) Wavelet Digest Homepage Steven Baum's Wavelet page The Imager Wavelet Library ... MathSoft Wavelet Resources page : links to many papers Wavelets at Imager Wavelets and their application to condition monitoring (Univ. Aberdeen, UK) Wavelet page at the European Southern Observatory Aware's product information (WaveTool, image compression, etc.) Multiresolution Signal Processing , Univ. of Minnesota An Introduction to Wavelets by Amara Graps. Wavelet resources page by Amara Graps. UC Berkeley Wavelet Group Numerical Harmonic Analysis Group , Univ. Vienna, Austria Ricoh's wavelet still image compression system Blue devil's wavelets , Duke University Mac A. Cody Associates Homepage Multirate Signal Processing Group , University of Wisconsin - Madison WavBox Software by C. Taswell HARC-C Wavelet Image Compression Lightning Strike Wavelet Image Compression MegaWave1+2 Software at CEREMADE The Wavelet Seismic InversionLab ... Page on the book "Wavelets and Subband Coding", M. Vetterli and J. Kovacevic. Page on the book "The World According to Wavelets: The Story of a Mathematical Technique in the Making" by Barbara Burke Hubbard, 1996, A K Peters, Ltd., ISBN 1-56881-047-4.

4. An Introduction To Wavelets An Introduction to wavelets by Amara Graps in HTML, PDF or Postscript.Category Science Math Publications Online Texts...... http://www.amara.com/IEEEwave/IEEEwavelet.html

A n I ntroduction to W avelets Abstract Keywords: Wavelets, Signal Processing Algorithms, Orthogonal Basis Functions, Wavelet Applications Contents: Overview Historical Perspective Sidebar- What are Basis Functions? Fourier Analysis ... Wavelet Analysis Wavelet Applications Computer and Human Vision FBI Fingerprint Compression Denoising Noisy Data Detecting Self-Similarity in a Time Series ... References To Download This Paper: Press HERE to FTP a gzipped, postscript copy. (800 Kbytes compressed, gunzips to 2.6 Mbytes). The original version of this work appears in IEEE Computational Science and Engineering, Summer 1995, vol. 2, num. 2, published by the IEEE Computer Society, 10662 Los Vaqueros Circle, Los Alamitos, CA 90720, USA, TEL +1-714-821-8380, FAX +1-714-821-4010. Wavelet Resources Home Last Modified by Amara Graps on 8 October 1997.

5. Wavelets In The Statistics Group At The University Of Bristol Click on the icon to return to this page (click on the ones above to see where I got it from). Our wavelet technical reports and preprints Interested in Postgraduate work? Introductory material on wavelets http://www.stats.bris.ac.uk/pub/reports/Wavelets/Wavelets.html

Wavelets Click on the icon to return to this page (click on the ones above to see where I got it from). Our wavelet technical reports and preprints Reports by author Abramovich Barber Burn ... Silverman Reports by date Reports by topic Introductory Curve estimation Time series ... Miscellaneous Wavelet software Click here for Interested in Postgraduate work? See our postgraduate opportunities page Introductory material on wavelets An introduction to wavelets and their uses in statistics can be found in The Discrete Wavelet Transform in S . (a modified version appears as Nason, G.P. and Silverman, B.W. (1994) The discrete wavelet transform in S, Journal of Computational and Graphical Statistics 163191). It also includes details on using the WaveThresh software. Click on the Lennon image to see a video of the image being built by wavelets. Talk Overheads Seminar given on August 15th 2000, JSM, Indianapolis. Talk is Wavelet shrinkage for irregularly spaced spatial data by David Herrick and Guy Nason , Department of Mathematics, University of Bristol. Talk slides: [PostScript-461k] [PDF-449k] Seminar given on May 5th 1997, Department of Statistics, University of Chicago.

6. Bibliographies On Wavelets Bibliographies on wavelets at the University of Karlsruhe.Category Science Math Numerical Analysis wavelets......Bibliographies on wavelets, part of the Collection of Computer Science Bibliographies. Bibliographieson wavelets. Search all bibliographies in this section. http://liinwww.ira.uka.de/bibliography/Theory/Wavelets/

The Collection of Computer Science Bibliographies Up: Bibliographies on Theory/Foundations of Computer Science Home Bibliographies on Wavelets Search all bibliographies in this section Query: Options case insensitive Case Sensitive partial word(s) exact online papers only Results Citation BibTeX Count Only Maximum of matches Help on: [ Syntax Options Improving your query Query examples Boolean operators: and and or . Use to group boolean subexpressions. Example: (specification or verification) and asynchronous #Refs Bibliography Date Signal processing and wavelet related bibliography Bibliography of Wavelet, Time Series, and Related Works Bibliography on wavelets and chirplets Bibliography on Wavelets ... List of papers concerning wavelets in tomography Total number of references in this section Other Bibliographies on Wavelets liinwwwa@ira.uka.de This page is part of the Computer Science Bibliography Collection Alf-Christian Achilles achilles@ira.uka.de

7. The Wavelet Digest :: Index Monthly newsletter on wavelets.Category Science Math Numerical Analysis wavelets......The Wavelet Digest Homepage. http://www.wavelet.org/

Home Latest Issue Back Issues Current submissions ... About How to subscribe? Online subscription How to submit? Online submission (have your text and summary ready) Announcements Editorial: Starting a new journey 20 Feb 2003 Editorial: A word from the Founding Editor 14 Jan 2003 Editorial: Many thanks to Wim Sweldens and welcome to the new, revamped Wavelet Digest 14 Jan 2003 Your submission to the Wavelet Digest 15 Jan 2003 This site is hosted by the Swiss Federal Institute of Technology Lausanne webmaster@wavelet.org Powered by phpBB This page was created in 0.638309 seconds : 16 queries executed : GZIP compression disabled

8. Non-Seismic Wavelet Transforms A Friendly Guide to wavelets and related courses by Gerald Kaiser http://timna.mines.edu/~zmeng/wavelet/wavelet.html

Non-Seismic Wavelet Transforms Wavelet Experts Home Pages Prof. Gregory Beylkin Prof. Norman Bleistein Prof. Ronald R. Coifman Prof. Charles Cui ... Prof. Ingrid Daubechies Your Link, Your Name Wavelet Servers The Wavelet NetCare The Wavelet Digest Amara's Wavelet Page Wavelet Sources ... The Wavelet Seismic Inversion Lab Books, Tutorials, Articles, etc. A Friendly Guide to Wavelets and related courses by Gerald Kaiser Image Compression LOCAL Foilset Compression Presentation for CPS600 Resolution Enhancement of Images Using Wavelet Transform Extrema Extrapolation ... Wavelet Transforms of Some Equations of Fluid Mechanics Software MR/1 Multiresolution software environment Version 1.0 for MS Windows and UNIX Systems Object-Oriented Toolkit for Scientific and Engineering Analysis Fast Wavelet Transform Code by Mac Cody Some Wavelet Software at U of S Carolina via Gopher ... Wavelet Packet Library in Seismic Unix by Tong Chen n-D Wavelet Transform Library in Seismic Unix by Zhaobo Meng Back to Home

9. Amara's Wavelet Page Introduction to wavelets with links to other sites.Category Science Math Numerical Analysis wavelets Directories...... http://www.amara.com/current/wavelet.html

C ontents Wavelet Overview Wavelet Forum Wavelet Digest Fourier Trivia ... Changes to the Page W avelet Overview The fundamental idea behind wavelets is to analyze according to scale. Indeed, some researchers in the wavelet field feel that, by using wavelets, one is adopting a whole new mindset or perspective in processing data. Wavelets are functions that satisfy certain mathematical requirements and are used in representing data or other functions. This idea is not new. Approximation using superposition of functions has existed since the early 1800's, when Joseph Fourier discovered that he could superpose sines and cosines to represent other functions. However, in wavelet analysis, the scale that one uses in looking at data plays a special role. Wavelet algorithms process data at different scales or resolutions. If we look at a signal with alarge "window," we would notice gross features. Similarly, if we look at a signal with a small "window," we would notice small discontinuities. The result in wavelet analysis is to "see the forest and the trees." Can you see why these features make wavelets interesting and useful? For many decades, scientists have wanted more appropriate functions than the the sines and cosines which comprise the bases of Fourier analysis, to approximate choppy signals. By their definition, these functions are non-local (and stretch out to infinity), and therefore do a very poor job in approximating sharp spikes. But with wavelet analysis, we can use approximating functions that are contained neatly in finite domains. Wavelets are well-suited for approximating data with sharp discontinuities.

10. INDEX TO SERIES OF TUTORIALS TO WAVELET TRANSFORM BY ROBI POLIKAR From the Fourier Transform to the wavelet transform.Category Science Math wavelets FAQs, Help, and Tutorials......THE ENGINEER'S ULTIMATE GUIDE TO WAVELET ANALYSIS. The Wavelet Tutorial.by. ROBI POLIKAR. MS Level research assistantship is available http://engineering.rowan.edu/~polikar/WAVELETS/WTtutorial.html

THE ENGINEER'S ULTIMATE GUIDE TO WAVELET ANALYSIS The Wavelet Tutorial by ROBI POLIKAR MS Level research assistantship is available in signal processing and pattern recognition for Fall Go to SPPRL page for more details PREFACE PART I: OVERVIEW: WHY WAVELET TRANSFORM PART II: FUNDAMENTALS: THE FOURIER TRANSFORM AND THE SHORT TERM FOURIER TRANSFORM, RESOLUTION PROBLEMS PART III: MULTIRESOLUTION ANALYSIS: THE CONTINUOUS WAVELET TRANSFORM PART IV: MULTIRESOLUTION ANALYSIS: THE DISCRETE WAVELET TRANSFORM Now ready !!! ACKNOWLEDMENTS For questions, comments or suggestions, please send an e-mail to polikar@rowan.edu Other Wavelet Related Servers Robi Polikar CyberDomain ... Root Page Thank you for visiting THE WAVELET TUTORIAL Including your current access, this page has been visited FastCounter by LinkExchange times since March 07 The Wavelet Tutorial is hosted by Rowan University, College of Engineering Web Servers The Wavelet Tutorial was originally developed and hosted (1994-2000) at Last updated January 12, 2001.

11. A Really Friendly Guide To Wavelets Wavelet tutorial for engineers in three parts friendly introduction, lifting, and EZW.Category Science Math wavelets FAQs, Help, and Tutorials......Open Directory. This site has won an award ! A Really Friendly Guide to wavelets1.(C) C. Valens, 1999 clemens@polyvalens.com. 4. Discrete wavelets. http://perso.wanadoo.fr/polyvalens/clemens/wavelets/wavelets.html

UP PART 2 PART 3 Yes ! I've done it ! Recognition at last ! This site has won an award ! A Really Friendly Guide to Wavelets (C) C. Valens, 1999 clemens@polyvalens.com Sometimes people don't know how to address me when writing me. They call me professor Valens, doctor Valens, mr/miss Valens, Valens or professor Clemens, doctor Clemens, mr/miss Clemens, Clemens, or simply nothing. So then, how should you address me, you wonder? Well, I don't care, but if you must know, I am a male. NEW! * New email address. The folks at iName.com now want money so I decided to let good old mindless go. * All GIF files have been replaced by PNG files. These files are a bit smaller than GIF files and so this page should load a bit faster. (Saved over 15KB on this page!) * Added a link to the Wavelet Forum at the end. Michael B. Stewart pdf file . If you don't like pdf, you can still download this tutorial as a zipped postscript file This tutorial is aimed at the engineer, not the mathematician. This does not mean that there will be no mathematics, it just means that there will be no proofs in the text. In my humble opinion, mathematical papers are completely unreadable because of the proofs that clutter the text. For proofs the reader is pointed to suitable references. The equations presented are there to illustrate and to clarify things, I hope. It should not be necessary to understand all the equations in order to understand the theory. However, to understand this tutorial, a mathematical background on an engineering level is required. Also some knowledge of signal processing theory might come in handy.

12. Image Compression - From DCT To Wavelets : A Review Article published in ACM Crossroads, the student magazine of the Association for Computing Machinery.Category Science Math wavelets FAQs, Help, and Tutorials...... Image Compression from DCT to wavelets A Review. by Subhasis Saha. Introduction. waveletsand Image Compression. What is a Wavelet Transform ? http://www.acm.org/crossroads/xrds6-3/sahaimgcoding.html

ACM Crossroads Student Magazine The ACM's First Electronic Publication Crossroads Home Join the ACM! Search Crossroads crossroads@acm.org ... Crossroads / Image Compression - from DCT to Wavelets : A Review Image Compression - from DCT to Wavelets : A Review by Subhasis Saha Introduction Uncompressed multimedia (graphics, audio and video) data requires considerable storage capacity and transmission bandwidth. Despite rapid progress in mass-storage density, processor speeds, and digital communication system performance, demand for data storage capacity and data-transmission bandwidth continues to outstrip the capabilities of available technologies. The recent growth of data intensive multimedia-based web applications have not only sustained the need for more efficient ways to encode signals and images but have made compression of such signals central to storage and communication technology. For still image compression, the `Joint Photographic Experts Group' or JPEG[ ] standard has been established by ISO (International Standards Organization) and IEC (International Electro-Technical Commission). The performance of these coders generally degrades at low bit-rates mainly because of the underlying block-based Discrete Cosine Transform (DCT)[ ] scheme. More recently, the wavelet transform has emerged as a cutting edge technology, within the field of image compression. Wavelet-based coding[

13. Discovering Wavelets -- The Book Discovering wavelets Errata and Comments page. Another review, from ZentralblattMath! The book Discovering wavelets can be ordered online. http://www.gvsu.edu/mathstat/wavelets/wavebook.htm

Contact Information: Steven Schlicker schlicks@gvsu.edu Edward Aboufadel aboufade@gvsu.edu Discovering Wavelets Errata and Comments page A review of the book can be found at Fatbrain.com Another review , from Zentralblatt Math The book Discovering Wavelets can be ordered online . Here is the preface from the book, along with the Table of Contents. For the past several years, reflecting the excitement and creativity surrounding the subject of wavelets, articles about wavelets have appeared in professional publications, on the World Wide Web , and in mainstream magazines and newspapers. Much of this enthusiasm for wavelets comes from known and from potential applications. For example, wavelets have found use in image processing, in the restoration of recordings, and in seismology. Many books are available on wavelets , but most are written at such a level that only research mathematicians can read them. The purpose of this book is to make wavelets accessible to anyone with a background in basic linear algebra (for example, graduate and undergraduate students), and to serve as an introduction for the nonspecialist. The level of the applications and the format of this book make it an excellent textbook for an introductory course on wavelets or as a supplement to a first or second course in linear algebra or numerical analysis. Potential readers would be intrigued by the discussion of the Wavelet/Scalar Quantization Standard, currently used by the Federal Bureau of Investigation to compress, transmit, and store images of fingerprints. In Britain, Scotland Yard also uses wavelets for the same purpose.

14. Wavelets At Imager wavelets at Imager. We're releasing some of our work via this page, as describedbelow. The Course wavelets and their Applications in Computer Graphics . http://www.cs.ubc.ca/nest/imager/contributions/bobl/wvlt/top.html

Wavelets at Imager Here at Imager, we've been doing some work with wavelets, those clever little multiresolution basis functions. We're releasing some of our work via this page, as described below. The Course "Wavelets and their Applications in Computer Graphics" This course, taught at SIGGRAPHs '94 and '95, was organized by Dr. Alain Fournier . It includes presentations by a number of experienced wavelet researchers. You can download the notes accompanying the SIGGRAPH '95 presentation of this course . These are in the form of a (UNIX) compress ed file 3.4MB in size that uncompresses to an 11.0MB PostScript(tm) file. The printed document is 239 pages long. These notes are provided through the courtesy of Dr. Fournier. If you have difficulty downloading this file over the Web, it is also available via FTP at node "ftp.cs.ubc.ca" in directory "/pub/local/bobl/wvlt" as file "notes.ps.Z". wvlt - The Imager Wavelet Library The Imager Wavelet Library (wvlt) is a small set of routines that allow the user to manipulate wavelets. This package includes C source for the library and for three sample binaries that call it, some demos, and some (sparse) documentation. It was described in the above course. You can download a UNIX shar file (its size is about 164KB) of the most recent release, 2.1, of this package. Alternatively, you can download

15. WaveLab802 translationinvariant wavelets,; interpolating wavelet transforms,; cosinepackets,; wavelet packets,; matching pursuit,. and a lot more http://www-stat.stanford.edu/~wavelab/

WAVELAB 802 for Matlab5.x Current Release David Donoho Mark Reynold Duncan Xiaoming Huo Ofer Levi Major Contributions from Jon Buckheit Maureen Clerc Jerome Kalifa Stephane Mallat Thomas Yu What is Wavelab? WaveLab is a collection of Matlab functions that have been used by the authors and collaborators to implement a variety of computational algorithms related to wavelet analysis. A partial list of the techniques made available: orthogonal wavelet transforms, biorthogonal wavelet transforms, translation-invariant wavelets, interpolating wavelet transforms, cosine packets, wavelet packets, matching pursuit, and a lot more... It includes more than 1100 Matlab files, datasets, and demonstration scripts. Some computationally expensive routines have been implemented as Matlab MEX functions. Here is a more detailed introduction. What is new? For the new version (WaveLab802), we add in scripts to reproduce many figures for the book A Wavelet Tour of Signal Processing A new browser has been added for Mallat's book.

16. Wavelets wavelets. Tutorials Wavelet Tutorial web sites Kapitel 3 WaveletKompression;Bibliographies on wavelets; Wavelet Group Karlsruhe; http://www.thur.de/~Voland/Wavelets.html

Wavelets Tutorials: Wavelet Tutorial by Robi Polikar (very good!) Tutorial on Wavelet Analysis of Experimental Data Tutorials by Clemens Valens Papers by me (in german) Waveletbasierte Bildkompression in der Anwendung (Vortrag, 22 Seiten, 1.5 MB) Wavelets: Grundlagen und Anwendung in der Bildkompression (Bericht, 23 Seiten, 1.4 MB) Grundlagen / Basics: Amara's Wavelet Page Mathsoft Wavelet Resources WaveLab@Stanford Wolfram Research Wavelet Explorer ... The Voice - Seeing with your ears Homepages von Wavelet/Compression-Forschern / scientists homepages: Andreas Uhl Neil Getz Tilo Strutz Amara Graps ... Robert M. Gray Java Wavelet-Sources altavista: +java +wavelet +source Kommerzielle Wavelet-Forschung / Commercial research: Summus, Ltd. Lightning Strike CREW SPIHT ... LuRaTech Kompression allgemein / Compression in general: Witten + Co. INTERNET PARALLEL COMPUTING ARCHIVE ftp.imag.fr/pub1/compression Compression Presentation> ... mathtools.com EMail: Voland@Jena.Thur.de This Page: www.thur.de/~Voland/Wavelets.html Last modified: 2000-01-03 20:18:59 MET by Created with: XEmacs

17. Discovering Wavelets: Home Page A center of activity for incorporating wavelets into the undergraduate curriculum. Tutorials, projects Category Science Math Numerical Analysis wavelets......Our goal for this site is to make it a center of activity for incorporating waveletsinto the undergraduate curriculum. The Discovering wavelets Web Site http://faculty.gvsu.edu/aboufade/web/dw.htm

The Discovering Wavelets Web Site maintained by Edward Aboufadel and Steven Schlicker Our goal for this site is to make it a center of activity for incorporating wavelets into the undergraduate curriculum. We believe that wavelets can be accessible to people other than research mathematicians that anyone with a background in basic linear algebra (for example, graduate and undergraduate students, and nonspecialists) can learn about and work with wavelets. Undergraduates at GVSU, many who are prospective mathematics teachers, have completed projects based on wavelets, along with undergraduate research projects. The challenge to mathematics professors is to present wavelets in way that is accessible without being trivial. New and Noteworthy We have funding for an REU program for Summers 2002, 2003, and 2004. During Summer 2002, two projects in wavelets were pursued . To learn about the Summer 2003 REU program, go to the GVSU REU web site Welcome back to the web site. As of January 3, 2002, we have a new look, along with some new content, including student projects from Fall 2001. A recent article in Science magazine , concerning NSF funding of mathematics research, begins, "Wavelets used to be merely curios of the mathematical realm, visually boring wiggles .... But their ability to represent shapes and patterns compactly from storing fingerprint data on suspected terrorists to preparing targets for a missile strike against enemy forces has suddenly made them very popular in some pretty important places."

18. Wavelets For DSP specialists. http://www.hr/josip/DSP/FAQ/8.html

8.1 What are wavelets? Whre can I get more information? In short, wavelets are a way to analyze a signal using base functions which are localized both in time (as diracs, but unlike sine waves), and in frequency (as sine waves, but unlike diracs). They can be used for efficient numerical algorithms and many DSP or compression applications. The mathematical theory behind wavelets (and other related transforms) is given in the appendix of the XWPL reference manual. There is also a good "5-minute" introduction to wavelets in the comp.compression newsgroup FAQ. Other sources of information on wavelets are: - a mailing list, "Wavelet Digest". Subscriptions for Wavelet Digest: E-mail to wavelet@math.scarolina.edu with "subscribe" as subject. - the Wavelet gopher site bigcheese.math.scarolina.edu - the ftp servers pascal.math.yale.edu and maxwell.math.scarolina.edu 8.2 What are some good books and papers on wavelets 8.3 Where can I get some software for wavelets

19. TMR Network On Wavelets In Numerical Simulation EU TMR network.Category Science Math Numerical Analysis wavelets Research Groups......TMR Network wavelets AND MULTISCALE METHODS IN NUMERICAL ANALYSIS ANDSIMULATION. Reports Preparation. European Summer School on Multiscale http://www.ian.pv.cnr.it/~wavelet/

TMR Network WAVELETS AND MULTISCALE METHODS IN NUMERICAL ANALYSIS AND SIMULATION Reports Preparation European Summer School on Multiscale Approaches in the Numerical Simulation of Partial Differential Equations July 3-14, 2000 Valencia, Spain Participants Training Activities Research Activity Open Post Doctoral Positions ... Silvia Bertoluzza

20. WAILI -- Wavelets With Integer Lifting WAILI wavelets with Integer Lifting Introduction. Enquiries about thelicense conditions should be directed to wavelets@cs.kuleuven.ac.be. http://www.cs.kuleuven.ac.be/~wavelets/

WAILI Wavelets with Integer Lifting Introduction WAILI is a wavelet transform library. It includes some basic image processing operations based on the use of wavelets and forms the backbone of more complex image processing operations. Features WAILI Uses integer wavelet transforms based on the Lifting Scheme Provides various wavelet transforms of the Cohen-Daubechies-Feauveau family of biorthogonal wavelets Provides crop and merge operations on wavelet-transformed images Provides noise reduction based on wavelet thresholding using Generalized Cross Validation Provides scaling of images Provides edge enhancement of images Provides also some simple image operations (addition and subtraction of images) Allows different image representations (RGB, YUV, Lab, ...) WAILI.xl is a version of WAILI with Extensions for Very Large Images . Very large images are divided in blocks, which do not necessarily have to be present in the computer system's main memory. WAILI.xl provides most of the operations implemented in WAILI. Implementation The software library is written in C++ and extensively uses features of the ISO C++ 97 Standard to allow for a cleaner design. The development was done under

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