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Topic: Mathematics Archives Newsletter #4
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Larry Husch

Posts: 44
Registered: 12/3/04
Mathematics Archives Newsletter #4
Posted: Jul 30, 1992 12:52 PM
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* * * * * * * * * * * * * * * * * * * * * * * * * * * *
* at WUARCHIVE.WUSTL.EDU Update #4 *
* Moderators: *
* mac - Earl D. Fife, Dept. Mathematics *
* Calvin College, Grand Rapids, MI *
* fife@CALVIN.EDU *
* msdos - Larry Husch, Dept. Mathematics *
* University of Tennessee, Knoxville, TN *
* * * * * * * * * * * * * * * * * * * * * * * * * * * *

The following is a list of recent additions and lisitings of msdos
software in Mathematics Archives. Instructions for downloading files
are given at the end of this article. If you are unfamiliar with
ftp and/or decompressing files or if you do not have access to ftp
and want information on downloading and uncompressing files, drop a
note to Larry Husch asking for this information.

---------------------------------------------------------------------- (number.theory)

NUMBERS Calculator
Ivo Duentsch
Univ. Osnabruck
Postfach 4469
W4500 Osnabruck GERMANY
E-mail: duentsch@dosuni1.bitnet

The NUMBERS calculator is designed to facilitate the computation of
number theoretic functions for positive integers of up to 150 decimal
digits on almost any PC. The author's main objective in writing
NUMBERS was to allow students in a course in elementary number theory
to do nontrivial examples and pursue investigative projects. Included
operations are finding gcds, lcms, mod arithmetic, quadratic residue
test, Chinese remainder systems, number of divisors, sum of divisors
various pseudoprime tests, continued and Farey fractions, Fibonacci
numbers, Lucas numbers, encryption and decryption, etc.
A collection of object files which can be linked into a Turbo Pascal
program are provided.
(adapted from the documentation)
----------------------------------------------------------------------- (number.theory, dynamics)

Ivo Duentsch
Universitat Osnabruck
Bitnet: duentsch@dosuni1

A tool to compute aliquot chains with small starting numbers and
keep a record of the results. For a positive natural number n,
let s(n) denote the sum of its proper divisors. The sequence
obtained by iterating s for some n is called an aliquot sequence
or chain.
(adapted from the documentation)
---------------------------------------------------------------------- (discrete.math)


ISETL (Interactive SET Language) is an interactive mathematical
language, based on the mathematical notion of a set (finite). It
was developed at Clarkson University by Gary Levin. ISETL supports
the following simple data types: integer, floating-point, boolean,
string, atom, file, undefined, and the compound data types: set,
tuple, map, func. All objects are "first-class" in the sense that
they can be passed into functions and returned by functions.
Version 3.0 was released in 1990.
To obtain MSDOS, Macintosh versions, source code, documentation,
and guidebook, contact Ron Pullins, Editor, West Educational
Publishing, 508-388-6685.
For more information, consult the references:
Nancy Baxter, Ed Dubinsky, Gary Levin, "Learning Discrete Mathematics
with ISETL", Springer Verlag (NY), 1989.
Donald L. Muench, "ISETL-Interactive Set Language", Notices of
American Math. Society, (37),3, March 1990, 277-279. contains the executable file. contains some documentation. contains the source code.

The ISETL newsletter can be obtained from Don Muench who can be
reached at
----------------------------------------------------------------------- (modelling, numerical.analysis)

Dr. David E. Hess
Mechanical Engineer, Fluid Flow Group
National Institute of Standards and Technology
Building 230 Room 105
Gaithersburg, MD 20899

This program was developed for use with the ongoing Compliant Surface
Program in the Fluid Flow Group; this group is a part of the Process
Measurements Division at the National Institute of Standards and
Technology. Analogue data is collected and digitized with an A/D
converter. Having then a collection of digitized time series which
reside in the computer, this program calculate amplitude density,
autospectral (power) density and cross-spectral density functions from
these input time series. The resulting frequency (or wavenumber) data
are useful in many engineering fields. The program is written in
FORTRAN and will run on any (286 or better) PC. The program is
accompanied by a 73-page user manual and a 19-page update. The source
code and a variety of utility programs are also included. The program
has been extensively tested and the author believes it to be bug-free.
The source code is well documented and many of the techniques employed
may be found in the excellent book: Random Data, 2nd Ed., Bendat &
Piersol, Wiley, 1986.
The documentation was originally prepared on a word-processor.
Unfortunately, the equations and graphs do not survive the conversion
process into an ASCII file. Any interested person contact the author
directly for FREE hard copies of the documentation.
----------------------------------------------------------------------- (discrete.math)

Cornel Huth
San Antonio, TX 78238

LP100 is a linear programming optimizer developed for either
maximizing or minimizing small to medium sized mathematical
programming problems in which all the relationships between
variables are linear. It finds a BEST feasible solution to any
continuous or all-integer constrained optimization problem of this
type and reports on the activities and levels required to maximize
profit or minimize cost. LP100 also reports on alternate optima,
shadow prices, and ranges over which the shadow prices are valid
and also ranges over which profit/cost inputs and right-hand-side
(RHS) values can vary without altering the solution.
LP100 is shareware.
(from the documentation)
The random number generating program has been upgraded
and has been renamed and appears in the miscellaneous
WUARCHIVE at Washington University at St. Louis is now a site for the
storage of public domain and shareware software and other materials
which can be utilized in the teaching of mathematics at the college
and university levels.

To access these files, use anonymous FTP to,
switch to the subdirectory /edu/math/msdos if you are interested
in software which can be used on msdos computers or switch to the
subdirectory /edu/math/mac for software which can be used on
macintosh computers. Change to the subdirectory which is the subject
area for which you would like to obtain software. In each subject
area there is a file 00info.txt which contains a listing of all
programs in the area together with a short abstract similar to the
above abstracts.

If you have any comments, suggestions about, problems with, etc.
the Mathematics Archives, please contact one of the moderators
(macintosh) Earl Fife at or (msdos) Larry Husch
at If you want to be added to the
mailing list of this newsletter please send your email address
to Larry. If you would like to submit program(s) and/or other
appropriate material then get in contact with Earl or Larry for

From ENGELK@AC.GRIN.EDU Sun Aug 2 19:39:05 1992
Unsubscribe calc-reform

Kevin Engel
Grinnell College (Iowa)

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