NA Digest Sunday, October 22, 2000 Volume 00 : Issue 43

Today's Editor:
Cleve Moler
The MathWorks, Inc.
moler@mathworks.com

Submissions for NA Digest:

Mail to na.digest@na-net.ornl.gov.

Information about NA-NET:

Mail to na.help@na-net.ornl.gov.

URL for the World Wide Web: http://www.netlib.org/na-net/na_home.html
-------------------------------------------------------

From: Claude Brezinski <brezinsk@chouia.univ-lille1.fr>
Date: Sat, 21 Oct 2000 09:48:08 +0200
Subject: First Courses in Numerical Analysis

Dear colleagues,

I would like to know who gave, in each country, the first "real" course in
numerical analysis. If you have any information, could you please write me,
giving as much details as possible: name of the teacher, name of the course,
university where it was given, dates, contents of the course, etc.
I thank everyone in advance.

Claude Brezinski

e-mail: claude.brezinski@univ-lille1.fr
7 rue de Provence phone : +33 (0)3 20 43 42 96
75009 - Paris fax : +33 (0)3 20 43 68 69
France http://ano.univ-lille1.fr/cb


------------------------------

From: Sangback Ma <sangback@euler.hanyang.ac.kr>
Date: Sat, 6 Jan 1990 10:08:43 +0900
Subject: Looking for Large Generalized Eigenvalue Problems

We have developed a parallel program that computes the small extreme
eigenvalues of A x = lambda B x, where A is symmetric (possibly indefinite)
and B is SPD. It uses the CG iteration to minimize the Rayleigh quotient.
Since the Rayleigh quotient for the generalized eigenvalue problem
is not a quadratic function of x, so far there is no known mathematical
proof, but it is working. Recently, we have developed a new parallel
preconditioner and it seems to work better than the classical Incomplete
Chelesky factorization. We have tested our program on 5-point Laplacian and
some ill-conditioned problems from Harwell-Boeing on the CRAY-T3E with B=I.
We are looking for some real applications for which our method will be useful.
Also, we will make available our program on the internet, which is written
in Fortran-77 with MPI library.

Sangback Ma and Hojong Jang
School of Electrical Engineering and Computer Science
Collge of Engineering, Hanyang University
Ansan Sa-1 Dong 1271, Kyung-ki Do, 425-791
S. Korea
e-mail: sangback@cse.hanyang.ac.kr
fax : 82-31-418-1676


------------------------------

From: Sophia Vassiliadou <sophia@math.lsa.umich.edu>
Date: Mon, 16 Oct 2000 14:09:47 -0400 (EDT)
Subject: Seeking Code for QD Algorithm

Dear Colleagues,

I would greatly appreciate it if you could let me know whether
there is a Code for the quotient-difference algorithm, Rutishauser's
rule; (i.e computing poles of meromorphic functions/poles
with equal moduli of meromorphic functions).

Thank you in advance.

Sincerely,
Sophia Vassiliadou
Dept. of Math.
University of Michigan
Ann Arbor, MI 48109-1109
e-mail: sophia@math.lsa.umich.edu


------------------------------

From: Ndikum <valnn@mail.skannet.com>
Date: Mon, 16 Oct 2000 19:23:20 +0100 (WAT)
Subject: Help with Discretization

Help with discretization

Dear members of this list:

I am working on the first order linear partial differential equations of
MacKendrick VonFoerster type and wish to discretize the time variable
only, so as to obtain a difference-differential equation. Please kindly
help. Also, how can obtain the dicrete version of the following interation
function F(u(t,a); v(t,a)), ,where u(t,a), is the population density of
males and v(t,a) for females.

Please reply to: valnn@mail.skannet.com
Thank you in advance.

Sincerely,
Tchuenche Jean Michel,
Maths Dept,
Univ. of Ibadan,
Ibadan, Oyo-State,
Nigeria.


------------------------------

From: Joel Bowman <bowman@euch4e.chem.emory.edu>
Date: Thu, 19 Oct 2000 14:36:19 -0400
Subject: Hermite Interpolation in Multivariables

I have an important application in theoretical chemistry that needs a
method to do piecewise interpolation of a multivariable function and all
first partial derivatives at points on a cartesian grid. I have programmed
a 1d piecewise Hermite method and was wondering if a multivariable version
exists.

Thanks

Joel M. Bowman
Department of Chemistry and
Cherry L. Emerson Center for Scientific Computation
Emory University, Atlanta, GA 30322

phone: 404-727-6592
fax: 404-727-6628

http://www.emory.edu/CHEMISTRY/faculty/bowman/ - Bowman web site
http://www.emory.edu/CHEMISTRY/faculty/bowman/multimode - Multimode web site


------------------------------

From: P. Viswanadha Reddy <pvisnath@protocol.ece.iisc.ernet.in>
Date: Mon, 23 Oct 2000 01:28:57 +0530 (IST)
Subject: Question on Kronecker Products

Hi,

I have a question related to finding charecterization of a matrix
involving the kronecker product and I can't seem to be able to crack it.
Please let me know if anyone had seen similar problem I will pose
below.

convention

uppercase letters --------matrices
.kron symbol for kronecker product of two matrices

'P' ---- 2*m x m matrix
'I' ---- 2*m x 2*m identity matrix
'B' ---- 2*m x 2*m matrix with all elements zero except lower
super diagonal elements, some of these also can be zero
like

|0 0 0 0 0|
|1 0 0 0 0|
B=|0 0 0 0 0|
|0 0 1 0 0|
|0 0 0 1 0|

then C=[I B] is a matrix formed by augmenting B to I
clearly C is full rank then
for the matrix
D= C.kron P =[P B*P] is a (2*m x 2*m) matrix
for D to be full rank
what is the condition on P ?
how to characterize P ?

Yours sincerely
Viswanath


------------------------------

From: Jerzy Wasniewski <Jerzy.Wasniewski@uni-c.dk>
Date: Tue, 17 Oct 2000 23:20:59 +0200 (METDST)
Subject: PARA'2000 Workshop Photos

PARA'2000 Workshop photos can be find at

http://lawra.uni-c.dk/para2000photos/

Best regards,
Jerzy


------------------------------

From: Mohsen Maesumi <maesumi@math.lamar.edu>
Date: Thu, 19 Oct 2000 11:20:08 -0500 (CDT)
Subject: A Mathematics Metasearch Facility

A preliminary version of a Mathematics Metasearch Machine
is available at http://branchers.lamar.edu

The site is suitable for cross disciplinary search and
in addition to being a list of links it allows for simple
one-step search of several sites.

To paraphrase a famous quote "If we see far it is because
we are perched on the shoulder of giants." In other words
this site does not offer an independent database. However,
plans are underway to remedy that shortcoming in about 18
months. Meanwhile please forward suggestions, corrections and
additions to me.

For now our goal is to list sites that
a) Have an English version
b) Contain substantial, reusable, focused, categorized
mathematics covering a subspecialty (as in a chapter
of an encyclopedia or a category in MR)
Once our database comes on line we will use a finer mesh
to collect information.

Maesumi
maesumi@math.lamar.edu


------------------------------

From: Marlis Hochbruck <marlis@am.uni-duesseldorf.de>
Date: Tue, 17 Oct 2000 15:27:39 +0200 (CEST)
Subject: Geometric Numerical Integration Colloquium

I am happy to announce a colloquium on

GEOMETRIC NUMERICAL INTEGRATION

at the Heinrich-Heine-Universitaet Duesseldorf on Saturday, November 11,
2000 from 10:30 am to 3 pm.

The speakers will be

Gerhard Wanner (Geneva): Symplectic integration of differential
equations
Ernst Hairer (Geneva): Backward error analysis
Christian Lubich (Tuebingen): Highly oscillatory problems

Further information is available at

http://www.am.uni-duesseldorf.de/~marlis/felix_klein/fklein.html

or by sending an e-mail to marlis@am.uni-duesseldorf.de


------------------------------

From: Michela Redivo Zaglia <michela@coco.lan.unical.it>
Date: Tue, 17 Oct 2000 16:28:54 -0100 (GMT)
Subject: Conference in Honor of Claude Brezinski

First announcement
International Conference on
"NUMERICAL ALGORITHMS"
dedicated to
CLAUDE BREZINSKI
on the occasion of his 60th birthday
Marrakesh, Morocco
October 1-5, 2001

We are organizing an international conference in October 2001 to celebrate
the 60th birthday of Claude Brezinski and, at the same time, the 10th
anniversary of Numerical Algorithms. He founded that journal in 1991
and contributed papers are to be published in it.

The themes of the conference will cover all aspects of numerical analysis,
in particular those which are implemented by numerical algorithms: numerical
linear algebra, orthogonal polynomials, approximation, ODEs and PDEs,
convergence acceleration, quadrature,....

CALL FOR PAPERS:
Participants wishing to present a talk (25 min.) must send an abstract
of one page maximum (TeX or LaTeX file) by e-mail before May 1st, 2001 to

na2001@lmpa.univ-littoral.fr


REGISTRATION AND INFORMATION:
The registration form (to be filled up before May 1st, 2001) and all the
information can be found at the web site

http://www-lmpa.univ-littoral.fr/~na2001

THE ORGANIZING COMMITTEE: B. Beckermann (University of Lille I, France),
A. Bentbib (Faculty of Sciences and Technologies, Marrakesh, Morocco),
B. Germain-Bonne (University of Lille I, France), J.-P. Chehab (University
of Lille I, France), M. El Alaoui-Talibi (Faculty of Sciences Semlalia,
Marrakesh, Morocco), A. Fdil (ENS, Marrakesh, Morocco), A. Lembarki (Faculty
of Sciences Semlalia, Marrakesh, Morocco), M. Pr\'evost (University of
Littoral, Calais, France), A. Matos (University of Lille I, France),
A. Messaoudi (ENS, Rabat, Morocco), M. Redivo-Zaglia (University of Calabria,
Cosenza, Italy), R. Sadaka (ENS, Rabat, Morocco), H. Sadok (University of
Littoral, Calais, France), J. Van Iseghem (University of Lille I, France)


------------------------------

From: Michaela Schulze <mschulze@origin2.icam.vt.edu>
Date: Tue, 17 Oct 2000 13:44:28 -0400
Subject: IFIP Conference on System Modelling and Optimization

20th IFIP TC 7 Conference on
System Modelling and Optimization
Trier, Germany
July 23-27, 2001.

IFIP TC7 promotes applications, the development of new techniques
and theoretical research in all areas of system modelling and
optimization. Each biennial conference brings together TC7 working
groups and a wide scientific and technical community, who share
information through lectures and discussions.

Invited Speakers:

A. Ben-Tal (Haifa) O.L. Mangasarian (Madison)
K.-H. Hoffmann (Bonn) J.-S. Pang (Baltimore)
F. Jarre (Duesseldorf) R. Rackwitz (Muenchen)
C.T. Kelley (Raleigh) R. Schultz (Duisburg)
K. Kunisch (Graz) P.L. Toint (Namur)

Deadline:
December 31, 2000: Extended abstract submission

For more information see the web-page

http://ifip2001.uni-trier.de

or contact the organizers via e-mail

ifip2001@uni-trier.de.

On behalf of the program committee and the local organizing committee
we invite you to participate in this conference.

E. Sachs (Chair of the local org. comm.)
Universitaet Trier
FB IV - Mathematik


------------------------------

From: Michael Ng <kkpong@hkusua.hku.hk>
Date: Thu, 19 Oct 2000 14:40:36 +0800 (HKT)
Subject: Pacific-Asia Conference on Knowledge Discovery and Data Mining

Call for Workshop Proposals
(Submission Deadline 31 October, 2000)

The Fifth Pacific-Asia Conference on Knowledge Discovery
and Data Mining (PAKDD-01)

Hong Kong, April 16 - 18, 2001
http://www.csis.hku.hk/pakdd01

The Fifth Pacific-Asia Conference on Knowledge Discovery and Data
Mining (PAKDD-01) will be an international forum for the sharing of
original and innovative research results and practical applications
and experiences among researchers and application developers from
the many constituent areas of KDD, including artificial
intelligence, databases, e-commerce, Internet computing, machine
learning, high performance computing, statistics and
visualization. This conference builds on the success of PAKDD-97
(Singapore), PAKDD-98 (Australia), PAKDD-99 (China) and PAKDD-00
(Japan) by bringing together participants from universities,
industry and government.

Workshops will form a key component of the conference. It is planned
to hold them on Monday, 16 April 2001. Proposals for addressing issues
in data mining, knowledge discovery and applications are invited.

New applications such as temporal and spatial data mining, Asian
language text mining, collaborative filtering, personalization, eCRM
and e-marketplace data mining are of special interest.

Workshop proposals (preferably by email) should be
submitted by 31 October 2000 to

Michael K Ng
Department of Mathematics
The University of Hong Kong
Pokfulam Road, Hong Kong
mng@maths.hku.hk


------------------------------

From: Tom Lewis <toml@msi.umn.edu>
Date: Fri, 20 Oct 2000 10:00:44 -0500
Subject: Midwest Theoretical Chemistry Conference

34th Midwest Theoretical Chemistry Conference
Dates: October 5, 2001 =AD October 6, 2001
Location: Minneapolis, Minnesota, USA

Keywords: Physical Chemistry, Theoretical Chemistry, Computational
Chemistry, Molecular Modeling, Chemical Physics

Description: In recognition of the first Midwest Theoretical Chemistry
Conference of the new century, the organizers of this year=B9s conference
have decided to try something different. The organizers intend to
highlight the latest scientific advances within the broad domain of
theoretical and computational chemistry, and their application to
other fields; to make the conference a more complete representation
of the whole Midwest Theoretical Chemistry group than might be
possible every year; and to adopt a format consisting of talks by
senior scientists (faculty and senior researchers at government
laboratories and in industry) and poster papers by senior scientists,
postdoctoral associates, and students.

Primary Contact:
Michael Olesen
Conference Administrator
Minnesota Supercomputing Institute, University of Minnesota
1200 Washington Avenue South
Minneapolis, Minnesota 55415 USA

Phone: (612) 624-1356
Fax: (612) 624-8861
Email: mtcc@msi.umn.edu

URL: http://www.msi.umn.edu/general/Symposia/MTCC/index2.html


------------------------------

From: Manfred Trummer <mrt@cs.sfu.ca>
Date: Fri, 20 Oct 2000 09:45:25 -0700 (PDT)
Subject: Numerical Analysis Weekend Vancouver

THE PACIFIC INSTITUTE FOR THE MATHEMATICAL SCIENCES sponsored
Numerical Analysis Weekend Vancouver
will be held October 28-29, 2000, in Vancouver.

Numerical Potlatch 2000 Saturday, October 28, 2000
Fast Multipole Workshop Sunday, October 29, 2000

For detailed information please visit

http://www.math.sfu.ca/~mrt/potlatch/

We invite you to join us next weekend in Vancouver!

This event is part of the Year 2000 Program of
THE PACIFIC INSTITUTE FOR THE MATHEMATICAL SCIENCES.


------------------------------

From: David Lerner <lerner@math.ukans.edu>
Date: Sun, 15 Oct 2000 13:32:47 -0500 (CDT)
Subject: Faculty Position at University of Kansas

Department of Mathematics
University of Kansas
Assistant or Associate Professor

Applications are invited for one or more tenure-track positions at the
assistant or associate professor level beginning August 18, 2001, January 1,
2002, or as negotiated. (This position(s) is contingent on final budgetary
approval.) Preference will be given to candidates in analysis, numerical
analysis, and stochastic analysis/control. Candidates at the assistant
professor level must have a Ph.D. in mathematics or a related field or its
requirements completed by August 18, 2001. Postdoctoral experience is
preferred. Candidates at the associate professor level must have a Ph.D. in
mathematics or a related field and their research should be in the area of
stochastic analysis/control with an outstanding record of research
accomplishments, a proven ability to attract research support, a strong
commitment to undergraduate and graduate teaching, and a record of
leadership in research.

Letter of application, detailed resume with description of research,
completed AMS application form, and three recommendation letters should be
mailed to Jack Porter, Chair, Department of Mathematics, 405 Snow Hall,
University of Kansas, Lawrence, KS 66045-2142 (or faxed to (785) 864-5255).
For more details contact kumath@math.ukans.edu.

Deadlines: Review of applications will begin on November 15, 2000 and will
continue until the position(s) are filled.

EO/AA Employer.


------------------------------

From: Tom Hagstrom <hagstrom@math.math.unm.edu>
Date: Mon, 16 Oct 2000 16:03:50 -0600 (MDT)
Subject: Faculty Positions at University of New Mexico

THE UNIVERSITY OF NEW MEXICO
Department of Mathematics and Statistics
Albuquerque, NM 87131

We anticipate tenure-track appointments in computational mathematics and
applied analysis, beginning Fall, 2001. Research interests of candidates for
the first position should include algorithms for and applications of
high-performance computing. Candidates for the second should have a strong
background in any area of analysis, with an interest in applications and the
use of high-performance computing. These positions are at the level of
assistant professor, although senior applicants will be considered. Minimal
qualifications are a Ph.D. in mathematics, applied mathematics, or a related
field and postdoctoral experience.

Candidates are expected to establish connections with UNM's two national
high-performance computing centers, located in Maui and Albuquerque. Local
facilities include 256 and 64 dual-node Pentium clusters and an advanced
visualization lab. The Department has a comprehensive graduate program and
houses a 9 node Alpha cluster. Research ties with Sandia, Los Alamos and the
Air Force Research Laboratories are extensive. Additional information is
available at http://www.arc.unm.edu and http://www.math.unm.edu.

A Curriculum Vitae and three letters of recommendation should be sent to
Search Committee/Computational Mathematics or Search Committee/Applied Analysis
at the address above. Review of applications will begin on December 1, 2000.
UNM is an EOE/AA University.


------------------------------

From: David Wall <D.Wall@math.canterbury.ac.nz>
Date: Fri, 20 Oct 2000 16:34:59 +1300
Subject: Lectureship at University of Canterbury, New Zealand

NEW ZEALAND
UNIVERSITY OF CANTERBURY
LECTURER in APPLIED MATHEMATICS

Applications are invited for a Lectureship in (Applied) Mathematics within
the Department of Mathematics and Statistics. The minimum qualification on
appointment is the Ph.D degree or equivalent in Applied Mathematics or a
related discipline. Especially welcome will be candidates with experience
and interests in Engineering and/or Computational Mathematics, which will be
the principal foci of this position. The Department has research strengths
particularly in mathematical biology, computational mathematics, optimisation,
partial differential equations, dynamical systems and industrial mathematics.
It maintains strong research and teaching links across the whole University
and especially with the School of Engineering as well as externally. The
appointee will be expected to contribute to these links and also be able to
contribute to the general teaching programme of the Department. Full details
are available from: g.clinton@regy.canterbury.ac.nz and www.canterbury.ac.nz.
Applications, quoting Vacancy No: MT157, close on 30 November 2000 with the
Human Resources Manager, University of Canterbury, Private Bag 4800
Christchurch, New Zealand.
The University has a policy of equality of opportunity in employment.


------------------------------

From: Mike Webster <M.F.Webster@swansea.ac.uk>
Date: Tue, 17 Oct 2000 12:54:00 +0100
Subject: Lectureship at University of Wales, Swansea

UNIVERSITY OF WALES SWANSEA
Department of Computer Science
Lecturer

Applications are invited for the vacancy of Lecturer in the Department
of Computer Science. The Department has a strong commitment to teaching
and research in computing that is mathematically well founded. It was
awarded an Excellent in the 1994 Teaching Quality Assessment and graded
4A in the 1996 Research Assessment Exercise. Applicants should posses a
PhD or equivalent in Computer Science or Mathematics and have an
excellent personal research programme and research record with expertise
in any field of Computer Science. The post is permanent and available
from the soonest date that can be arranged. The salary will be on
either the Grade A Scale, =A318731 - =A323256 per annum, or the Grade B
Scale, =A324227 to =A330967 per annum.

Informal enquiries may be directed to Professor J V Tucker, Head of
Department on 01792 295649 email: j.v.tucker@swan.ac.uk

Further particulars and application forms (2 copies) MUST be obtained
from the Personnel Department, University of Wales Swansea, Singleton
Park, Swansea, SA2 8PP to which department they should be returned by 27
October 2000.

Email: personnel.mailbox@swan.ac.uk
www: http://www.swan.ac.uk/personnel


------------------------------

From: Bob Rosenberg <bobr@dao.gsfc.nasa.gov>
Date: Fri, 20 Oct 2000 16:41:47 -0400
Subject: Position at SAIC/GSC, NASA Goddard

General Sciences Corporation, a subsidiary of Science Applications
International Corporation (SAIC GSC), has an immediate opening for the
following position:

#578 SCIENTIFIC PROGRAMMER/ANALYST - to provide support to the Data
Assimilation Office (DAO) at NASA Goddard Space Flight Center in the area
of constituent data assimilation. Successful applicants will have the
opportunity to work with leading atmospheric scientists in the field of
stratospheric modeling and data assimilation. The initial work includes
further development of an ozone data assimilation system, comparison and
validation of its products, and maintenance of its code and datasets.
The work involves programming in Fortran and Unix, and the use of Matlab,
IDL, and GrADS in development and validation. Candidate will have the
opportunity to participate in the presentation and/or publication of
results at scientific conferences and in referreed journals. This position
requires an M. S. or a Ph. D. in atmospheric sciences or a related field,
strong analytical, quantitative, and communication skills, and proven
experience programming in Fortran in a Unix environment. Desired skills
include a background in atmospheric data assimilation, atmospheric
chemistry, or numerical algorithms; and experience in Matlab, IDL, and
GrADS analytical packages.

Additional information about the Data Assimilation Office can be found at
http://dao.gsfc.nasa.gov. Further information about the research area
related to this position can be found at
http://dao.gsfc.nasa.gov/DAO_people/ivanka/ozn_assim/

SAIC/GSC is an Affirmative Action Employer with competitive salaries and
excellent benefits. Qualified candidates should send their resume for
consideration, identifying position of interest, to: General Sciences
Corporation, 4600 Powder Mill Road, Suite 400, Beltsville, Maryland
20705-2675; or FAX your resume (301) 953-3797; or E-mail:
resumes@gsc.saic.com Visit our Web site: http://www.saic-gsc.com


------------------------------

From: Jean-Marie Chesneaux <Jean-Marie.Chesneaux@lip6.fr>
Date: Wed, 18 Oct 2000 12:42:53 +0200
Subject: Postdoctoral Positions at the LIP6 laboratory in Paris

Postdoctoral positions (2)
CHPV team
Laboratoire LIP6, Paris, France

2 postdoctoral positions of one year are opened in the CHPV team (Calcul Haute
Performance et Validation) of the LIP6 Laboratory (Laboratoire d'Informatique
de Paris 6). A tool for numerical validation, the CADNA library, has been
developed to control the round-off error propagation in scientific codes
using the floating-point arithmetic. This library is available for the C,
Fortran and ADA language. The use of CADNA requires modifications for its
implementation on classical codes.

The aim is to develop pre-compilers for an automatic implementation of CADNA
for the three language. An interface for informations on accuracy of results
provided by CADNA is also part of the work.

Motivated candidates must have experience in any or all of the following
categories:
syntaxic analysis,
C, Fortran or ADA languages,
General Unix systems and Linux in particular,
General knowledge in scientific computing.

These positions are immediately available.

The laboratory belongs to the Pierre and Marie Curie University of Paris
and is located in the center of Paris near the Eiffel tower.

For consideration, send a complete CV by e-mail to :
Jean-Marie.Chesneaux@lip6.fr

Jean-Marie Chesneaux
Laboratoire LIP6 CNRS (UMR 7606)
Universite Pierre et Marie Curie
8 rue du capitaine Scott
75015 Paris, France
Tel: 33-1-44-27-87-76
Fax: 33-1-44-27-53-53
e-mail : Jean-Marie.Chesneaux@lip6.fr


------------------------------

From: Ke Chen <K.Chen@liverpool.ac.uk>
Date: Sun, 15 Oct 2000 18:40:27 +0100 (BST)
Subject: Studentship at University of Liverpool

PhD Studentship in Scientific Computing at University of Liverpool

A fully funded three-year project award of a PhD studentship
is available with Dr K Chen in the Department of Mathematical Sciences,
University of Liverpool, UK.
The project on developing new iterative techniques for solving coupled
systems arising from acoustic interaction problems is in co-operation
with a UK company. It will have a high mathematical and numerical
content. Please pass on this note to any suitable candidate who should
then send a CV including the names of two academic referees.
Immediate applications are encouraged since the position will
be filled as soon as possible, and at the latest by 1 Dec 2000.

For more and on-line details, see
http://www.liv.ac.uk/www/sx04/wwwchen/phd00.htm
or email k.chen@liv.ac.uk (Phone 0151 794 4741, Fax 0151 794 4061).
Dr K Chen,
Department of Mathematical Sciences,
The University of Liverpool,
Maths & Oceanography Building,
Peach Street,
Liverpool L69 7ZL,
U.K.




------------------------------

End of NA Digest

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