March 15, 2003
O P - S F N E T Volume 10, Number 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Editor:
Martin Muldoon muldoon@yorku.ca
The Electronic News Net of the SIAM Activity Group
on Orthogonal Polynomials and Special Functions
Please send contributions to: poly@siam.org
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Today's Topics:
1. Minisymposium during SIAM Annual Meeting
2. OPSFA 7 - Copenhagen
3. Meeting in honour of Tom Koornwinder
4. Sturm Colloquium
5. Preprints in xxx Archive
6. About the Activity Group
7. Submitting contributions to OP-SF NET and Newsletter
Calendar of Events:
2003
May 14-17: Advances in Constructive Approximation, Nashville,
Tennessee, USA 9.4 #7
June 8-12: AMS-IMS-SIAM Summer Research Conference "Spectral theory
and inverse spectral theory for Jacobi operators",
Snowbird, Utah, USA 10.1 #1
June 16-20: SIAM Annual Meeting, Montreal, Canada
in conjunction with CAIMS 9.6 #2 10.2 #1
June 18-21: Special session on "Constructive Approximation Theory"
during the AMS-RSME Joint Meeting, Seville, Spain 9.4 #4
July 7-11: 5th International Congress on Industrial and Applied
Mathematics, ICIAM 2003, Sydney, Australia. 8.6 #6
July 14-26: Summer school on "Orthogonal Polynomials and
Special Functions", Coimbra, Portugal 10.1 #2
August 11-16: Fourth ISAAC Congress, Toronto, Canada 9.2 #6 9.4 #5
August 11-16: Conference on Orthogonal Functions and
Related Topics, Roros, Norway 10.1 #3
August 18-22: Seventh International Symposium on Orthogonal
Polynomials, Special Functions and Applications,
Copenhagen, Denmark 8.6 #7 9.4 #6 10.1 #4 10.2 #2
August 25-27: Special Functions, Representation Theory and
Applications, Meeting in honour of Tom Koornwinder,
Amsterdam 9.6 #3 10.2 #3
September 15-19: Sturm Colloquium, Geneva, Switzerland 10.2 #4
Future Plans:
Dan Lozier (OP-SF NET 9.4, Topic #2) suggests a SIAM-sponsored meeting in
Orthogonal Polynomials and Special Functions to be held in Washington, DC
in June 2004.
Topic #1 ------------ OP-SF NET 10.2 ------------- March 15, 2003
~~~~~~~~~~~~~~
From: Francisco Marcellan
Subject: Minisymposium during SIAM Annual Meeting
A Minisymposium "Special Functions: Computational Methods and Applications
I-II" will be held during the SIAM Annual Meeting (joint with CAIMS) to be
held in Montreal, Canada, June 16-20, 2003. The speakers are as follows:
Session I
John P. Boyd University of Michigan, Ann Arbor, MI USA
Peter Clarkson University of Kent, Canterbury, UK
Jesús Sanchez Dehesa Universidad de Granada, Spain
Larry Glasser Clarkson University, Potsdam NY, USA
Session II
Bruce Fabijonas Southern Methodist Univ., Dallas TX, USA
Dan Lozier NIST, Gaithersburg MD, USA
Martin Muldoon York University, Toronto, Canada
Javier Segura Universidad Carlos III de Madrid, Spain
Abstracts and further information will appear at the meeting web site:
http://www.siam.org/meetings/an03/
Topic #2 ------------ OP-SF NET 10.2 ------------- March 15, 2003
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: OPSFA 7 - Copenhagen
As announced in previous issues, the Seventh International Symposium on
Orthogonal Polynomials, Special Functions and Applications will be held
August 18-22 in Copenhagen, Denmark.
Here are some highlights from the web site:
http://www.math.ku.dk/conf/opsfa2003/
Invited plenary speakers
Professor Richard Askey, University of Wisconsin, Madison, USA
Professor Percy Deift, New York University, USA
Professor Antonio J. Duran, University of Sevilla, Spain
Professor Uffe Haagerup, University of Southern Denmark, Denmark
Professor Mourad Ismail, University of South Florida, USA
Professor Erik Koelink, Technical University Delft, the Netherlands
Professor Masatoshi Noumi, Kobe University, Japan
Professor Franz Peherstorfer, University of Linz, Austria
Professor Simon Ruijsenaars, Center for Mathematics and Computer
Science, the Netherlands
Professor Jan Felipe van Diejen, University of Talca, Chile
Professor Yuan Xu, University of Oregon, USA
Invited 30-minute speakers
Professor Giuseppe Dattoli, ENEA, Frascati, Italy
Professor Walter Gautschi, Purdue University, West Lafayette, USA
Professor Leonid Golinskii, Institute for Low Temperature physics,
Kharkov, Ukraine
Professor Alberto Grunbaum, University of California, Berkeley, USA
Professor Sergei Khruschev, Atilim University, Ankara, Turkey
Professor Arno Kuijlaars, Katholieke Universiteir Leuven, Belgium
Professor Christian Krattenthaler, Université Claude Bernard Lyon-I,
France
Professor Vadim Kuznetsov, University of Leeds, United Kingdom
Professor Mizan Rahman, Carleton University, Canada
Professor Barry Simon, California Institute of Technology, Pasadena,
USA
Grants for young researchers
We are able to support a number of young researchers. Deadline for
application is March 1.
Registration for the symposium
The deadline for registration is April 1. If you register later than this
date you must pay an additional fee of 500 DKK. The standard registration
fee is 2200 DKK. The fee for students is 1500 DKK and for accompanying
persons it is 1000 DKK. As of March 12, 1.00 USD = 6.74 DKK and 1.00 EUR =
7.42 DKK, approximately. Internet registration is encouraged.
Hotel reservation
Hotel reservation is handled by a conference bureau. Deadline for hotel
reservation is June 15. Four hotels are listed with the rate per day for a
single room ranging from 400 to 795 DKK. Double rooms cost about 20% more.
Submission of abstracts
Submission of abstracts must be done via internet or email.
The deadline is May 1.
Local Committee for OPSFA 7:
Professor Christian Berg
Ph.D. Student Jacob S. Christiansen
Associate Professor Henrik L. Pedersen
Symposium address:
OPSFA
Department of Matematics
University of Copenhagen
Universitetsparken 5
DK-2100 København Ø
Denmark
Email: opsfa@math.ku.dk
Fax: +45 3532 0704
Topic #3 ------------ OP-SF NET 10.2 ------------- March 15, 2003
~~~~~~~~~~~~~~
From: OPSF NET Editor
From: OP-SF NET Editor
Subject: Meeting in honour of Tom Koornwinder
As announced in OP-SF NET 9.6, Topic #3, a meeting "Special Functions,
Representation Theory and Applications" Universiteit van Amsterdam, August
25-27, 2003 on the occasion of Tom Koornwinder's 60th birthday. The meeting
web site http://staff.science.uva.nl/~jstokman/workshop.html includes
information on hotels, as well as a revised list of speakers:
R.A. Askey (Madison, USA),
F.A. Bais (Amsterdam, The Netherlands),
E.P. van den Ban (Utrecht, The Netherlands),
O. Chalykh (Ithaca, USA),
N. Ciccoli (Perugia, Italy),
G. van Dijk (Leiden, The Netherlands),
J. Faraut (Paris, France),
M. Flensted-Jensen (Copenhagen, Denmark),
G. J. Heckman (Nijmegen, The Netherlands),
M.E.H. Ismail (Tampa, USA),
A.U. Klimyk (Kiev, Ukraine),
T.H. Koornwinder (Amsterdam, The Netherlands),
V. Kuznetsov (Leeds, UK),
I. G. Macdonald (London, UK),
M. Noumi (Kobe, Japan),
P. Paule (Linz, Austria),
H. Rosengren (Goteborg, Sweden)
J.V. Stokman (Amsterdam, The Netherlands)
Topic #4 ------------ OP-SF NET 10.2 ------------- March 15, 2003
~~~~~~~~~~~~~~
From: OPSF NET Editor
Subject: Sturm Colloquium
>From the web site:
http://theory.physics.unige.ch/sturm.html
Colloquium on the occasion of the 200th anniversary of
Charles François Sturm and Workshop on Sturm-Liouville theory
Geneva, Switzerland
September 15-19, 2003
Geneva wishes to honour the memory of Charles Sturm on the occasion of the
200th anniversary of his birth. The Physics Department and the group
"History and Philosophy of Science" of the University of Geneva, in
association with the SPHN (Geneva Society of Physics and Natural History),
are organizing an international colloquium during the period September 15
to September 19, 2003.
The colloquium will consist of two parts. In the first one historians of
science will analyze the scientific work of Charles Sturm, whereas the
second one will be devoted to modern and contemporary aspects of
Sturm-Liouville theory. The colloquium, especially in its first part, is
conceived as a preparation for the publication of the complete works of
Sturm. A second volume will contain contributions to the second part.
The material for the first part will be organized as follows:
- Biography
- Geometry (theory of polygons, elementary geometry, projective
geometry, conic sections, ...)
- Algebra
- Analysis (differential equations, series,
treatise on analysis, ...)
- Optics (caustics, physiological optics)
- Mechanics
- Other work in physics (heat, compressibility of liquids, speed
of sound in water)
- Pedagogical activities, the two monographs (treatises on analysis
and on mechanics).
The invited speakers will participate directly in the publication of the
works. Their presentation will serve as an introduction to the different
parts of the volume containing Sturm's complete works.
In the second part of the colloquium a few invited specialists on
Sturm-Liouville theory will discuss the developments in this branch of
mathematics during the 20th century, as well as their applications in the
natural sciences, in particular in physics. Other participants in the
colloquium will have the possibility of presenting their recent research in
the framework of a workshop on Sturm-Liouville operators.
Organizers:
Jean-Claude Pont (part 1)
Werner Amrein (part 2)
Secretariat:
Francine Gennai-Nicole
Advisory board:
Andreas Hinz, Jan Lacki, David Pearson
Preliminary program
Part I :
Life and work (September 15-16)
Analysis and assessment of Sturm's scientific work.
Lectures given by
Eisso ATZEMA (University of Maine, Orono)
Jean DHOMBRES (EHESS, Paris)
Jan LACKI (University of Geneva)
Jesper LÜTZEN (University of Copenhagen)
Angelo MINGARELLI (Carleton University, Ottawa)
Jean-Claude PONT (University of Geneva)
Hourya SINACEUR (CNRS, Paris)
Part II :
Sturm-Liouville Theory, Past and Present
a) September 17 : Survey of the development of Sturm-Liouville
theory from Sturm's death to the present.
Lectures given by
Don HINTON (University of Tennessee, Knoxville)
Norrie EVERITT (University of Birmingham, UK)
Yoram LAST (Hebrew University, Jerusalem)
Barry SIMON (Caltech, Pasadena)
Joachim WEIDMANN (Universität Frankfurt)
b) September 18-19 : Workshop on Sturm-Liouville Theory
(continued in the morning of September 20 if necessary)
Conference languages :
Part I : French and English
Part II : English
Contributions
The workshop on Sturm-Liouville operators will be organized on Thursday,
Sept 18 and Friday, Sept 19 (with the possibility of continuing on Saturday
morning, September 20, if necessary). Those wishing to present a
contribution should send a title and a short abstract before April 30,
2003, by filling and sending the appropriate form. The principal lecture
room is equipped with two overhead projectors, a digital light projector
(beamer) and a blackboard.
Registration
The meeting is planned without registration fees for all participants (thus
encouraging young researchers to take part). However, for organizational
purposes, we request that all prospective participants fill in and send us
the registration form at the web site. Deadline for registration: June 30,
2003.
The web site
http://theory.physics.unige.ch/sturm.html
has more information on travel, accommodation and related matters.
Topic #5 ------------ OP-SF NET 10.2 ------------- March 15, 2003
~~~~~~~~~~~~~~
From: OPSF NET Editor
Subject: Preprints in xxx Archive
The following preprints related to the fields of orthogonal polynomials
and special functions were recently posted or cross-listed to one of the
subcategories of the xxx archives. See especially:
http://front.math.ucdavis.edu/math.CA
http://front.math.ucdavis.edu/math.CO
http://front.math.ucdavis.edu/math.QA
http://xxx.lanl.gov/archive/solv-int
http://www.arXiv.org/abs/math.CA/0301037
Title: Orthogonality of Jacobi polynomials with general parameters
Authors: A.B.J. Kuijlaars, A. Martinez-Finkelshtein, R. Orive
Comments: 16 pages, 4 figures
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 33C45
http://www.arXiv.org/abs/math.SP/0301077
Title: Sturm-Liouville operators with distributional potentials
Authors: A.M. Savchuk, A.A. Shkalikov
Comments: Submitted to Proceedings of Moscow Mathematical Society
Subj-class: Spectral Theory; Functional Analysis
MSC-class: 34B24 (Primary); 47E05; 34L20; 34L40 (Secondary)
http://www.arXiv.org/abs/math.CO/0301094
Title: Linearization coefficients for orthogonal polynomials using
stochastic processes
Authors: Michael Anshelevich
Comments: 15 pages, AMSLaTeX, 2 Postscript figures
Subj-class: Combinatorics; Classical Analysis and ODEs; Operator
Algebras
MSC-class: Primary 05E35; Secondary 05A18, 05A30, 46L53, 60G51
http://www.arXiv.org/abs/math.CO/0301157
Title: Generalizations of some identities involving the fibonacci
numbers
Authors: Toufik Mansour
Comments: 12 pages
Subj-class: Combinatorics
MSC-class: 11B39; 11B83; 05A15
http://www.arXiv.org/abs/math.CA/0301210
Title: An inequality on Chebyshev polynomials
Authors: Igor Rivin
Subj-class: Classical Analysis and ODEs; Combinatorics
MSC-class: 41A63; 42C05
http://www.arXiv.org/abs/math.CA/0301241
Title: Symmetrized Chebyshev Polynomials
Authors: Igor Rivin
Comments: Enhancement of math.CA/0301210
Subj-class: Classical Analysis and ODEs; Probability Theory
MSC-class: 41A63; 42C05; 05C25; 05C20; 60F05
http://www.arXiv.org/abs/math.NT/0301277
Title: Relations for Multiple Zeta Values and Mellin Transforms of
Multiple Polylogarithms
Authors: Jun-ichi Okuda, Kimio Ueno
Comments: 29 pages
Subj-class: Number Theory; Algebraic Geometry; Classical Analysis
and ODEs
MSC-class: 11M06; 40B05
http://www.arXiv.org/abs/hep-th/0301143
Title: The Barnes zeta-function, sphere determinants and Glaisher-
Kinkelin-Bendersky constants
Authors: J.S.Dowker, Klaus Kirsten
Comments: 26 pages, JyTex. Minor improvements made
Subj-class: High Energy Physics - Theory; Mathematical Physics;
Spectral Theory
http://www.arXiv.org/abs/math-ph/0301022
Title: One-parameter isospectral special functions
Authors: M.A. Reyes, D. Jimenez, H.C. Rosu
Comments: 12 pages
Subj-class: Mathematical Physics
http://www.arXiv.org/abs/math.CO/0302014
Title: Restricted even permutations and Chebyshev polynomials
Authors: Toufik Mansour
Comments: 20 pages
Subj-class: Combinatorics
MSC-class: 05A05; 05A15; 30B70; 42C05
http://www.arXiv.org/abs/math.QA/0302032
Title: On integral representations of q-gamma and q-beta functions
Authors: Alberto De Sole, Victor Kac
Comments: 16 pages
Subj-class: Quantum Algebra
http://www.arXiv.org/abs/math.PR/0302033
Title: A System of Differential Equations for the Airy Process
Authors: Craig A. Tracy, Harold Widom
Comments: 8 pages, no figures. Version 2 clarifies a point about the
operator K
Subj-class: Probability Theory; Mathematical Physics
MSC-class: 60K35
http://www.arXiv.org/abs/math.AG/0302054
Title: Analytic continuation of multiple polylogarithms
Authors: Jianqiang Zhao
Comments: 16 pages, a sign error corrected
Subj-class: Algebraic Geometry; Number Theory
MSC-class: 32D15, 53C65
http://www.arXiv.org/abs/math.CA/0302084
Title: A Generalization of Euler's Hypergeometric Transformation
Authors: Robert S. Maier (University of Arizona)
Comments: 26 pages, psp documentclass (Cambridge Univ. Press)
Subj-class: Classical Analysis and ODEs; Combinatorics
MSC-class: 33C20, 33C05, 34M35, 05A19
http://www.arXiv.org/abs/math.CA/0302114
Title: A bilateral series involving basic hypergeometric functions
Authors: Hjalmar Rosengren
Comments: 5 pages
Subj-class: Classical Analysis and ODEs; Quantum Algebra
MSC-class: 33D15
http://www.arXiv.org/abs/math.CA/0302142
Title: Jacobi Polynomials from Compatibility Conditions
Authors: Yang Chen (Imperial College) Mourad Ismail (University of
South Florida)
Comments: 11 pages 0 figures
Subj-class: Classical Analysis and ODEs
http://www.arXiv.org/abs/math.CA/0302251
Title: Continuous Hahn functions as Clebsch-Gordan coefficients
Authors: Wolter Groenevelt, Erik Koelink, Hjalmar Rosengren
Subj-class: Classical Analysis and ODEs; Representation Theory
http://www.arXiv.org/abs/math.CO/0302270
Title: Abel-Rothe type generalizations of Jacobi's triple product
identity
Authors: Michael J. Schlosser
Comments: 11 pages, amslatex
Subj-class: Combinatorics; Classical Analysis and ODEs
MSC-class: 33D15 (Primary) 33D67 (Secondary)
http://www.arXiv.org/abs/math.CO/0302320
Title: Positivity preserving transformations for q-binomial
coefficients
Authors: Alexander Berkovich, S. Ole Warnaar
Comments: 58 pages, AMS-LaTeX
Subj-class: Combinatorics; Quantum Algebra
MSC-class: Primary 33D15; Secondary 33C20, 05E05
http://www.arXiv.org/abs/math.PR/0302329
Title: A PDE for the joint distributions of the Airy Process
Authors: Mark Adler, Pierre van Moerbeke
Comments: 9 pages
Subj-class: Probability Theory; Mathematical Physics
http://www.arXiv.org/abs/math.CA/0302342
Title: Laguerre functions and representations of su(1,1)
Authors: Wolter Groenevelt
Comments: 19 pages
Subj-class: Classical Analysis and ODEs; Representation Theory
http://www.arXiv.org/abs/math.CA/0302357
Title: Quadratic Hermite-Pade approximation to the exponential
function: a Riemann-Hilbert approach
Authors: A. B. J. Kuijlaars, W. Van Assche, F. Wielonsky
Comments: 60 pages, 13 figures
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 41A21; 30E10; 35Q15
http://www.arXiv.org/abs/math-ph/0302011
Title: Hypergeometric functions related to Schur Q-polynomials and
BKP equation
Author: A. Yu. Orlov
Comments: Latex, 15 pages, no figures
Subj-class: Mathematical Physics
http://www.arXiv.org/abs/math-ph/0302046
Title: New exact solutions for polynomial oscillators in large
dimensions
Authors: Miloslav Znojil, Denis Yanovich, Vladimir P. Gerdt
Comments: 22 pages plus 4 figures
Subj-class: Mathematical Physics; Spectral Theory
MSC-class: 81Q05
http://www.arXiv.org/abs/math-ph/0302051
Title: Zonal Functions on $SO(p,q)$ Groups
Authors: B.A. Rajabov
Comments: 6 pages
Subj-class: Mathematical Physics; Group Theory
http://www.arXiv.org/abs/math-ph/0302054
Title: On the uniform asymptotic expansion of the Legendre functions
Authors: Nail R. Khusnutdinov
Comments: 9 pages, 4 figures
Subj-class: Mathematical Physics
MSC-class: 35C20;33E30
http://www.arXiv.org/abs/nlin.SI/0301011
Title: General solution for Hamiltonians with extended cubic and
quartic potentials
Authors: C. Verhoeven, M. Musette (VUB, Brussels), R. Conte (CEA,
Saclay)
Comments: LaTex 2e. To appear, Theoretical and Mathematical Physics
2003
Subj-class: Exactly Solvable and Integrable Systems
http://www.arXiv.org/abs/nlin.SI/0301043
Title: Painleve test and higher order differential equations
Authors: Ugurhan Mugan, Fahd Jrad
Comments: arxiv version is already official
Subj-class: Exactly Solvable and Integrable Systems
Journal-ref: J. Nonlinear Math. Phys., volume 9, no. 3 (2002) 282-310
http://www.arXiv.org/abs/nlin.SI/0302026
Title: Classical transcendental solutions of the Painlev\'e equations
and their degeneration
Authors: Tetsu Masuda
Comments: 22 pages
Subj-class: Exactly Solvable and Integrable Systems
Topic #6 ------------ OP-SF NET 10.2 ------------- March 15, 2003
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: About the Activity Group
The SIAM Activity Group on Orthogonal Polynomials and Special Functions
consists of a broad set of mathematicians, both pure and applied. The
Group also includes engineers and scientists, students as well as
experts. We have around 140 members scattered about in more than 20
countries. Whatever your specialty might be, we welcome your
participation in this classical, and yet modern, topic. Our WWW home
page is:
http://math.nist.gov/opsf/
This is a convenient point of entry to all the services provided by the
Group. Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov).
The Activity Group sponsors OP-SF NET, which is transmitted
periodically by SIAM. It is provided as a free public service;
membership in SIAM is not required. The OP-SF Net Editor is Martin
Muldoon (muldoon@yorku.ca).
To receive the OP-SF NET, send your name and email address to
poly-request@siam.org.
Back issues can be obtained at the WWW addresses:
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The NET provides fast turnaround compared to the printed Newsletter,
also sponsored by the Activity Group, and edited by Rafael Yanez. It
appears three times a year and is mailed by SIAM. Back issues are
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To receive the Newsletter, you must be a member of SIAM and of the
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For current information on SIAM and Activity Group membership, contact:
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Finally, the Activity Group operates an email discussion group, called
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http://math.nist.gov/opsftalk/archive
Topic #7 ------------ OP-SF NET 10.2 ------------- March 15, 2003
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Submitting contributions to OP-SF NET and Newsletter
To contribute a news item to OP-SF NET, send email to poly@siam.org
with A copy to the OP-SF Editor . Please note that
Submissions to the Net are automatically considered for the Newsletter,
and vice versa, unless the contributor requests otherwise.
Contributions to OP-SF NET 10.3 should be sent by May 1, 2003.
Please send your (printed) Newsletter contributions directly to the
Editor:
Rafael J. Yanez
Departamento de Matematica Aplicada
Universidad de Granada
E-18071 Granada, Spain
phone: +34-58-242941
fax: +34-58-242862
e-mail: ryanez@ugr.es
preferably by email, and in latex format. Other formats are also
acceptable and can be submitted by email, regular mail or fax.
The deadline for submissions to be included in the June 2003 issue
is May 15, 2003, and for the October 2003 issue is September 15, 2003.
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OP-SF NET is a forum of the SIAM Activity Group on
Special Functions and Orthogonal Polynomials.
We disseminate your contributions on anything of interest to the
special functions and orthogonal polynomials community. This
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The elected Officers of the Activity Group (2002-2004) are:
Daniel W. Lozier, Chair
Walter Van Assche, Vice Chair
Peter Clarkson, Secretary
Francisco Marcellan, Program Director
The appointed officers are:
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Martin Muldoon, OP-SF NET editor
Bonita Saunders, Webmaster
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