-------------------------------------------------------
From: Etienne Emmrich <emmrich@math.TU-Berlin.DE>
Date: Mon, 27 Jul 2009 21:50:38 +0200 (CEST)
Subject: New book, Analytical and Numerical Aspects of PDEs
Analytical and Numerical Aspects of Partial Differential Equations
Notes of a Lecture Series.
Ed. by Emmrich, Etienne / Wittbold, Petra
de Gruyter 2009. 24 x 17 cm. 290 pages. Hardcover.
ISBN 978-3-11-020447-6
CONTENT
GREGORY A. CHECHKIN AND ANDREY YU. GORITSKY
S. N. Kruzhkov's lectures on first-order quasilinear PDEs
MARTIN CAMPOS PINTO
Adaptive semi-Lagrangian schemes for Vlasov equations
JULIEN JIMENEZ
Coupling of a scalar conservation law with a parabolic problem
STEFAN LE COZ
Standing waves in nonlinear Schrödinger equations
FREDERIC LEGOLL
Multiscale methods coupling atomistic and continuum mechanics:
some examples of mathematical analysis
SYLVIE MONNIAUX
Maximal regularity and applications to PDEs
DESCRIPTION
The topics of the contributions to this book range from an investigation of the
qualitative behaviour of solutions of particular partial differential equations
to the study of the complexity of numerical methods for the reliable and
efficient solution of partial differential equations. A main focus is on
nonlinear problems and theoretical studies reflecting recent developments of
topical interest.
This book grew out of a series of lectures at the Technische Universitat Berlin
held by young mathematicians from France who followed an invitation for a
short-term stay during the academic years 2007-2009. The book addresses
students of mathematics in their last year, PhD students as well as younger
researchers working in the field of partial differential equations and their
numerical treatment. Most of the contributions only require some basic
knowledge in functional analysis, partial differential equations, and numerical
analysis.
-------------------------------------------------------
From: Peter Hertling <peter.hertling@unibw.de>
Date: Mon, 27 Jul 2009 10:01:47 +0200
Subject: Computability and Complexity in Analysis, Slovenia, Aug 2009
Call for Participation
Sixth International Conference on
Computability and Complexity in Analysis 2009 (CCA 2009)
August 18-22, 2009, Ljubljana, Slovenia
Invited Speakers
* Mark Braverman (Cambridge, USA)
* Vladik Kreinovich (El Paso, USA)
* Dana Scott (Pittsburgh, USA)
* Ning Zhong (Cincinnati, USA)
Tutorials
* Martín Escardó (Birmingham, UK)
* Bas Spitters and Russell O'Connor (Eindhoven, The Netherlands)
Schedule
The tentative schedule as well as further information on registration,
accommodation, and traveling is available here:
http://cca.fmf.uni-lj.si/
Proceedings
Accepted papers will be published in an electronic proceedings volume
in the DROPS series of Schloss Dagstuhl. In addition, a technical
report containing the accepted papers will be available at the
conference. It is planned to publish a special issue of some journal
dedicated to CCA 2009 after the conference.
Conference Web Page
http://cca-net.de/cca2009/
-------------------------------------------------------
From: "Kirsten Wilden" <Wilden@siam.org>
Date: Mon, 27 Jul 2009 11:00:35 -0400
Subject: SIAM Conference on Mathematics for Industry, San Francisco, Oct 2009
Registration and Program Now Available
SIAM Conference on Mathematics for Industry: Challenges and Frontiers
Hilton San Francisco Financial District, San Francisco, California
October 9-10, 2009
Invited Speakers:
Robert Almgren, Courant Institute of Mathematical Sciences, New York
University and Quantitative Brokers
James Carazzone, Exxon Production Research Company
David R. Ferguson, Access Analytics
Kenneth Fordyce, IBM Systems and Technology Group
Fosca Giannotti, Institute of Information Science and Technologies (ISTI), Italy
Karl Kempf, Intel Corporation
Travel Support, Registration and Hotel Reservation Deadlines
Travel Support Application Deadline: August 10, 2009
Pre-Registration Deadline: September 7, 2009
Hotel Reservation Deadline: September 7, 2009
Details regarding travel support are available:
http://www.siam.org/meetings/tsupport.php
Registration and the preliminary program for this conference are
available:
http://www.siam.org/meetings/mi09/
For additional information, contact the SIAM Conference Department at
meetings@siam.org.
-------------------------------------------------------
From: "Kirsten Wilden" <Wilden@siam.org>
Date: Mon, 27 Jul 2009 10:54:04 -0400
Subject: SIAM/ACM Geometric & Physical Modeling, San Francisco, Oct 2009
Registration and Program Now Available
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Hilton San Francisco Financial District, San Francisco, California
October 5-8, 2009
Invited Speakers:
David Baraff, Pixar Animation Studios
Ted D. Blacker, Sandia National Laboratories
Leonidas Guibas, Stanford University
Baining Guo, Microsoft Research Asia
Stefanie Hahmann, Grenoble Institute of Technology, France
Bert Jüttler, Johannes Kepler University, Austria
Pierre Bézier Award Recipients
Richard F. Riesenfeld, University of Utah
Elaine Cohen, University of Utah
Travel Support, Registration and Hotel Reservation Deadlines
Travel Support Application Deadline: August 10, 2009
Pre-Registration Deadline: September 7, 2009
Hotel Reservation Deadline: September 7, 2009
Details regarding travel support are available:
http://www.siam.org/meetings/gdspm09/tsupport.php
Registration and the preliminary program for this conference are available:
http://www.siam.org/meetings/gdspm09
For additional information, contact the SIAM Conference Department at
meetings@siam.org.
-------------------------------------------------------
From: Willy Doerfler <doerfler@math.uka.de>
Date: Tue, 28 Jul 2009 12:03:34 -0400
Subject: Design of Gratings & Inverse Scattering Theory, Germany, Oct 2009
The workshop `Design of Gratings and Inverse Scattering Theory' will take
place at the Departement of Mathematics of the university of Karlsruhe. Date
15.-16.10.2009. Speakers: D. Dobson, R. Kress, K. Ramdani, T. Arens.
More information under the URL:
http://www.mathematik.uni-karlsruhe.de/iwrmm/seite/archiv/de
-------------------------------------------------------
From: Chris Hiestand <chiestand@salk.edu>
Date: Thu, 30 Jul 2009 14:12:48 -0700
Subject: Neural Information Processing Systems (NIPS), Vancouver, Dec 2009
CALL FOR MINI-SYMPOSIUM PROPOSALS
Neural Information Processing Systems (NIPS) -- Natural and Synthetic
NIPS*2009 Mini-symposia
December 10, 2009
Hyatt Regency Hotel, Vancouver, BC, CANADA
http://nips.cc/
Following the regular program of the Neural Information Processing Systems
2009 conference in Vancouver, BC, Canada, up to four mini-symposia will be
held in parallel during the afternoon of December 10, 2009, in the Hyatt
Regency, Vancouver, BC, Canada. We invite researchers interested in
chairing a mini-symposium to submit proposals.
More details and instructions for submission of proposals may be found
online at http://nips.cc/Conferences/2009/CallForMiniSymposia. Proposals
must be received by August 28, 2009.
-------------------------------------------------------
From: Daniela di Serafino <daniela.diserafino@unina2.it>
Date: Sun, 2 Aug 2009 13:47:45 -0400
Subject: Deadline extended, Parallel Sparse Linear Algebra, Italy, Feb 2010
The deadline for submitting a paper to the special session on "Parallel
Algorithms and Software for Sparse Linear Algebra Computations" -
http://www.na.icar.cnr.it/pdp2010/psla.html - at the PDP 2010 international
conference (Pisa, Italy, Feb. 17-19, 2010) has been extended to AUGUST 31.
SPECIAL SESSION CALL FOR PAPERS
The solution of linear systems, least squares problems and eigenvalue
problems involving large and sparse matrices is ubiquitous in scientific and
engineering applications and is often a very time-consuming task, thus
requiring the use of effective algorithms and software on parallel and
distributed computers. The increased availability of computing systems with
a large number of processors makes runtime efficiency, scalability,
flexibility and accuracy even more crucial in the development of such
algorithms and software. Furthermore, the emergence of multicore and
manycore processors requires to review sparse linear algebra techniques to
take advantage of the computational power offered by the new architectures.
The aim of this special session is to discuss recent advances in the
development of algorithms and software for the solution of sparse linear
algebra problems on parallel and distributed computers. The exploitation of
sparse linear algebra software within large-scale scientific simulations on
modern high-performance computers is also of interest.
Details on the submission of papers can be found at the special session web
page. Accepted papers will be published by the IEEE Computer Society.
Program Co-chairs: Pasqua D'Ambra, ICAR-CNR, Naples, Italy, and Daniela di
Serafino, Second University of Naples, Caserta, Italy.
Program Committee: Patrick R. Amestoy (FR), Mario Arioli (UK), Salvatore
Filippone (I), Laura Grigori (FR), Ulrike M. Yang (USA).
-------------------------------------------------------
From: Giorgio Fotia <Giorgio.Fotia@crs4.it>
Date: Tue, 28 Jul 2009 17:24:56 -0400
Subject: Italian Society of Industrial & Applied Math (SIMAI), Italy, Jun 2010
First announcement
SIMAI 2010, The 10th Congress of SIMAI, the Italian Society of Applied and
Industrial Mathematics will be held in Cagliari, Italy from June 21 to 25,
2010 in cooperation with SEMA (Spanish Society for Applied Mathematics /
Sociedad Espańola de Matemática Aplicade).
The main topics concern: applied mathematics and applications of mathematics
to industry, technology, environment, cultural heritage, biology and society.
The scientific program consists of general lectures, minisymposia, round
tables, and contributed papers. All scientific events will be shared with SEMA.
The Second Announcement and the WEB page of the Congress will be issued in
October 2009 and will provide all information for submission of mynisimposia,
presentations, and publication of proceedings.
The President of SIMAI
Nicola Bellomo
-------------------------------------------------------
From: Shan Zhao <szhao@bama.ua.edu>
Date: Sun, 2 Aug 2009 21:16:52 -0400
Subject: CFP: IJBI, Mathematical Methods for Images and Surfaces
Second call for papers
Special Issue on 'Mathematical Methods for Images and Surfaces'
International Journal of Biomedical Imaging
The Midwest Conference on Mathematical Methods for Images and Surfaces was
held in the Michigan State University on April 18-19, 2009. See
http://www.math.msu.edu/~wei/MCMM/index.html. It created an excellent forum
for researchers from engineering, biological and mathematical sciences to
exchange ideas and keep up with new developments. To further disseminate
research findings presented and exchanged in the conference, The International
Journal of Biomedical Imaging (IJBI) will publish a special issue entitled
'Mathematical Methods for Images and Surfaces'.
The scope of this special issue is the same as that of the conference.
However, to better fit the scope of the journal, research findings relevant to
biomedical science and technology are particularly welcome. Original papers
and high-quality overviews on a wide range of topics in images and surfaces
are solicited for this special issue. Topics of interest include, but are not
limited to:
- Geometric flows, higher-order curvature flows, gradient flows for image
and surface analysis
- Mumford-Shah functional
- Level set methods and their applications
- Wavelets, frames and multiresolution analysis
- Mathematical algorithms for images and surfaces
- Image edge detection, segmentation, pattern recognition, video analysis
and processing
- Computational methods for biomedical imaging
- Algorithms for bioluminescence imaging, fluorescent imaging, PET imaging,
ultrasound imaging, MRI and tomography
- Computational methods for anatomy
- Mathematical analysis of protein and membrane surfaces
The papers solicited for this special issue are not restricted to the
contributions presented during the Conference. Submissions from other
researchers, which fit the scope of this special issue, are also welcome.
Please refer to the following link:
http://www.hindawi.com/journals/ijbi/osi.html for more details about this
special issue. Please also note the journal's policy on Article Processing
Charges, see http://www.hindawi.com/journals/ijbi/apc.html.
Important Dates
Manuscript Due: October 1, 2009
First Round of Reviews: January 1, 2010
Anticipated Publication Date: April 1 2010
Guest editors:
Guowei Wei, Michigan State University, USA, wei@math.msu.edu
Lalita Udpa, Michigan State University, USA, udpal@egr.msu.edu
Yang Wang, Michigan State University, USA, ywang@math.msu.edu
Shan Zhao, University of Alabama, USA, szhao@bama.ua.edu
-------------------------------------------------------
From: Thomas Ertl <Thomas.Ertl@vis.uni-stuttgart.de>
Date: Sun, 2 Aug 2009 10:57:29 -0400
Subject: Chair Position (Large Systems Simulation), Univ Stuttgart, Germany
Universitaet Stuttgart, Germany
Department of Computer Science, Electrical Engineering, and Information
Technology
Faculty Position: Large Systems Simulation.
The University of Stuttgart, Germany invites applications for a Full
Professor (W3) in Large Systems Simulation. The professor is expected to
conduct excellent research and teaching in the field of simulation and
modeling of large and complex systems and to collaborate closely with
colleagues from mathematics, science and engineering, especially within
the Stuttgart Research Center and DFG Cluster of Excellence "Simulation
Technology". Candidates are sought with extensive expertise in some of
the following areas: computer science aspects of scientific computing,
parallel algorithms, parallel and distributed high-performance
computing, development and integration of scalable simulation systems,
numerical simulation techniques, discrete and combinatorial methods,
application of simulations in science and engineering. We expect our new
colleague to contribute to undergraduate and graduate teaching in the
degree programs of Computer Science, Software Technology, Information
Technology, and Simulation Technology, as well as in courses for
programs of other departments. Applicants are asked to send their
detailed CV and accompanying documents before September 15, 2009 to the
Dekan der Fakultät 5, Prof. Dr. E. Plödereder, Pfaffenwaldring 47, 70569
Stuttgart, Germany, Tel. +49 (711) 685-67234, Fax: +49 (711) 685-67236,
E-mail: dekanat@f-iei.uni-stuttgart.de. For additional information
please visit
http://www.informatik.uni-stuttgart.de/stellenangebote/W3-SGS-Ausschreibung.en.html.
-------------------------------------------------------
From: Lars Gruene <lars.gruene@uni-bayreuth.de>
Date: Wed, 29 Jul 2009 02:07:05 -0400
Subject: Faculty Position, University of Bayreuth, Germany
At the Mathematical Institute of the University of Bayreuth, Germany, we are
currently advertising a W2 Professorship in Numerical Mathematics with
applications in Systems and Control Theory, Optimization, Optimal Control, or
related areas.
Details about the position and the application procedure can be found on
http://www.uni-bayreuth.de/stellenangebote/professuren/MPI-1/index.html (in
German). Deadline is 15th September 2009.
-------------------------------------------------------
From: Yousef Saad <saad@cs.umn.edu>
Date: Mon, 3 Aug 2009 10:01:20 -0500 (CDT)
Subject: Post-doc position, University of Minnesota
POSITION AVAILABLE: Postdoctoral Associate
at the Department of Computer Science and Engineering,
University of Minnesota
A Postdoctoral Associate position is available to work on research
projects related to numerical linear algebra methods in computational
materials science. The projects involve high performance algorithms
(e.g., solving very large eigenvalue problems) in the study of
electronic structures of materials.
Applicants must have a good background in numerical linear algebra and
parallel scientific computing. Knowledge of the equations of quantum
mechanics is a plus but it is not required. Familiarity with partial
differential equations, domain decomposition techniques, sparse
matrices, iterative methods for linear systems and/or eigenvalue
problems, is very desirable, as is experience with parallel
programming. A Ph.D. in Computer Science or a field related to
scientific computing is required.
Send application materials, including the names of up to 3 references,
by e-mail to saad@cs.umn.edu (or e-mail letter of application and
indicate an URL address where to access resume). There is no deadline
for applying - but the selection process will begin one month after
the posting of this announcement and the positions will remain open
until it is filled.
The University of Minnesota is an equal opportunity educator and
employer.
-------------------------------------------------------
From: E Bruce Pitman <pitman@buffalo.edu>
Date: Tue, 28 Jul 2009 16:59:44 -0400
Subject: Post-doc position in mathematical geo-science at Buffalo
Applications for the position of postdoctoral research associate in
computational and mathematical geo-science are invited. The incumbent is
expected to perform original research and supervise students. Research
projects center on computational studies of geophysical mass flows, and the
stochastic and statistical investigation of these flows, and are primarily
carried out through collaborations with faculty in mathematics, geology, and
mechanical and aerospace engineering, and through external collaborations with
colleagues in statistics.
Qualifications: Candidates should have recently completed a PhD in applied
math or a closely allied field, with a specialization in high performance
computing
and/or geophysics. Candidates must show evidence of strong motivation, good
computational skills, good oral and written communication skills, and an
ability to work as part of a team. A competitive salary and excellent benefits
are available. The initial appointment is for one year but may be renewable,
depending on availability of funds. Candidates should send (electronically) a
letter of application, curriculum vitae, a statement of research experience
and interests, a list of publications, and have letters from two references
(electronic mail is satisfactory) sent to:
Professor E. Bruce Pitman
Department of Mathematics
244 Mathematics Building
University at Buffalo
Buffalo, NY 14260
pitman@buffalo.edu
-------------------------------------------------------
From: Daniel Kressner <kressner@math.ethz.ch>
Date: Thu, 30 Jul 2009 02:57:52 -0400
Subject: PhD position in numerical linear algebra at ETH Zurich
The Seminar for Applied Mathematics of ETH Zuerich offers a full PhD position
on "Robust numerical methods for solving nonlinear eigenvalue problems", a
project funded by the Swiss National Science Foundation in the framework of
the SNF Pro*Doc NUMPDE (http://www.zgsm.ch/?numpde).
The position is temporary and limited to 3-4 years after a three month period of
probation. The holder will be regular ETH research staff and receive a gross
salary of roughly 66,000 Swiss Francs (about EUR 41.000, USD 55.000). The
position will involve teaching of tutorial lectures, supervision of
undergraduate students, and grading of examinations.
Applications should be sent electronically (as PDF files) to Ms. Wolf
(helene.wolf@sam.math.ethz.ch). They must include
* a curriculum vita
* a complete record of academic education including grades and all achievements.
* abstracts of theses (master etc.) and descriptions of projects done before
graduation (include theses, reports and papers, if possible)
* complete addresses (including e-mail) of two established academic researchers
who can give an assessment of the candidate's skills.
-------------------------------------------------------
From: Nathalie Revol <Nathalie.Revol@ens-lyon.fr>
Date: Wed, 29 Jul 2009 18:19:40 -0400
Subject: Open position: PhD grant at ENS Lyons, France
We have a grant for a PhD on the generation of specialized numerical
codes, within the Arenaire team, LIP, Ecole Normale Superieure de Lyon,
France, starting the 1st of October 2009 (or later).
Here is a summary of the subject, please find a more detailed version
of the subject on the Web page of the Arenaire team:
http://www.ens-lyon.fr/LIP/Arenaire/Jobs.html
On embedded processors, multimedia applications require efficient and
reliable software support. In particular, libraries for numerical
computations using either floating-point or fixed-point arithmetic are
needed. These libraries are most efficient when they are specially
designed for the target application and the target processor:
· formats, instructions and the degree of available parallelism
vary from one architecture to the next, an algorithm which was
fast and/or accurate on a given processor is not any more on
another one;
· depending on the application, the criterion to be optimized
(speed, throughput, accuracy, code size. . . ) will vary;
· when the application is known, information is available, for
instance that special cases (sine of large arguments, occurence
of infinities or subnormal numbers. . . ) will not occur, and
the handling of these special cases can harmlessly be omitted.
The goal of this PhD thesis is to automate, as much as possible,
the design of a library for numerical computing. It will cover the
whole design, from the mathematical computation of a polynomial
approximant of each function up to its implementation, including the
various choices of algorithms. The library must be correct, efficient
and optimized for the target application and the target processor. We
want to generate automatically such libraries, i.e. have them written
by a program. We also aim at using formal techniques to certify the
correctness of the generated code.
If you are an interested student or if you know an interested student, please
send to Florent.de.Dinechin@ens-lyon.fr and Nathalie.Revol@ens-lyon.fr
a CV, your marks for the master and the addresses (preferably e-mail) of
three persons who can provide references on your application.
Best regards
Nathalie Revol
-------------------------------------------------------
From: Alison Ramage <A.Ramage@strath.ac.uk>
Date: Fri, 31 Jul 2009 10:13:15 -0400
Subject: PhD position at University of Strathclyde, Scotland
An EPSRC-funded Industrial Case PhD studentship is available from 1st
October 2009 to develop new preconditioned linear solvers for large-scale
problems in geotechnical engineering. The student will be based in the
Numerical Analysis and Scientific Computing group in the Department of
Mathematics and Statistics at the University of Strathclyde in Scotland,
supervised by Dr Alison Ramage
(http://www.mathstat.strath.ac.uk/research/groups/nasc). The industrial
partner is Oasys Ltd (http://www.oasys-software.com/).
This grant forms part of a continuing project with Dr Charles Augarde,
School of Engineering, Durham University, which aims to find faster
iterative solvers for the complex material models routinely found in
geotechnics. The new methods will be implemented in SAFE, Oasys'
commercial finite element code. The project will place the student at the
forefront of research in iterative solvers, and provide an excellent
opportunity to develop skills working at the interface between applied
mathematics, engineering and industry.
Applicants should have, or be expecting to obtain in the near future, a
first class or good 2.1 honours degree (or equivalent) in mathematics,
engineering or a mathematical science. The studentship is available for
UK/EU candidates subject to specific eligibility criteria (see
http://www.strath.ac.uk/dta/furtherinformation/eligibility/).
The student will spend some time working at Oasys' Newcastle upon Tyne
office.
Details of how to apply can be found at
http://www.mathstat.strath.ac.uk/applying/postgraduate/applications.
Informal enquiries should be addressed to Dr Alison Ramage [+44 (0)141
5483801, e-mail: A.Ramage@strath.ac.uk]. The deadline for applications is
Friday 25th September 2009.
-------------------------------------------------------
From: Emma Avery <Emma.Avery@iop.org>
Date: Tue, 28 Jul 2009 11:10:00 +0100
Subject: Contents, Inverse Problems, volume 25, issue 8, August 2009
INVERSE PROBLEMS
Volume 25, Issue 8, August 2009
Article numbers: 085001--085011
Individual articles are free for 30 days following their publication on the
web. This issue is available at: http://www.iop.org/EJ/toc/0266-5611/25/8
PAPERS
085001
Fast inference for statistical inverse problems
Matthew A Taddy, Herbert K H Lee and Bruno Sans\'o
085002
Canonical B\"acklund transformation for the DST model under open boundary
conditions
Barun Khanra and A Ghose Choudhury
085003
Twofold subspace-based optimization method for solving inverse scattering
problems
Yu Zhong and Xudong Chen
085004
On a quadratic inverse eigenvalue problem
Yunfeng Cai and Shufang Xu
085005
An inverse nodal problem for two-parameter Sturm--Liouville systems
Paul A Binding and Bruce A Watson
085006
Identification of the combination of monopolar and dipolar sources for
elliptic equations
Yun-Sung Chung and Soon-Yeong Chung
085007
Inverse problems for the Boussinesq system
Jishan Fan, Yu Jiang and Gen Nakamura
085008
Comparison of idealized and electrode Dirichlet-to-Neumann maps in electric
impedance tomography with an application to boundary determination of
conductivity
Nuutti Hyv\"onen
085009
State estimation in process tomography---reconstruction of velocity fields
using EIT
A Sepp\"anen, A Voutilainen and J P Kaipio
085010
Reconstruction of thin electromagnetic inclusions by a level-set method
Won-Kwang Park and Dominique Lesselier
085011
Regularization with non-convex separable constraints
Kristian Bredies and Dirk A Lorenz
CONFERENCE ANNOUNCEMENT
Inverse Problems: Modelling and Simulation
-------------------------------------------------------
From: Claude Brezinski <claude.brezinski@univ-lille1.fr>
Date: Fri, 31 Jul 2009 22:33:46 +0200
Subject: Contents, Numerical Algorithms, Vol. 51:4
Numerical Algorithms.
Volume 51 Number 4
A few remarks on recurrence relations for geometrically continuous
piecewise Chebyshevian B-splines
Marie-Laurence Mazure
Pages 401 - 428
Generalized qd algorithm and Markov Bernstein inequalities for Jacobi
weight
Andre Draux, Borhane Moalla, Mohamed Sadik
Pages 429 - 447
Two-step fourth order methods for linear ODEs of the second order
Mikhail V. Bulatov, Guido Vanden Berghe
Pages 449 - 460
Fair cubic transition between two circles with one circle inside or
tangent to the other
Sarpono Dimulyo, Zulfiqar Habib, Manabu Sakai
Pages 461 - 476
A numerical algorithm for singular optimal LQ control systems
Marina Delgado-Tellez, Alberto Ibort
Pages 477 - 500
------------------------------
End of NA Digest
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