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ABOUT_1.2.2a
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ABOUT, Feb. 1996
====================================
Announcement of MuPAD version 1.2.2a
====================================
Dear MuPAD friend,
here a message from the developers of MuPAD to inform you about
the new release MuPAD 1.2.2a.
MuPAD 1.2.2a is a bug-fixed version of release 1.2.2.
MuPAD 1.2.2 is a major release update in comparison to the
mathematical capabilities of MuPAD 1.2.1, but a minor release
update in comparison to the kernel and the frontends of MuPAD
1.2.1.
New functions
=============
series expansion, limit computation, asymptotic expansion, solv-
ing diophantine and polynomial equations, solving ordinary
differential equations, definite and indefinite summation,
decomposition of polynomials, combining and expanding
algebraic terms, continued fraction arithmetic, partial frac-
tion decomposition, computing the triangular form of complex
expressions, simplification of expressions containing radicals
and exponentials, Bessel functions, another term ordering of
polynomials (DegInvLexOrder), primality proving using elliptic
curves, finding factors of an integer using Pollard's rho
method, TeX-output of expressions, representation of infinite
numbers, standard deviation, variance of a list of values,
chi square and normal distribution, Stirling numbers, collecting
coefficients of polynomials, roots of univariate polynomials with
coefficients in Z/nZ, integer roots of rational univariate poly-
nomials, infinite decimal representation of rational numbers,
enhancement and improvement of the symbolic integration (e.g.
numerical integration), the Groebner package and the
linear algebra package (e.g. eigenvalues, jordan forms,
exponential of matrices), RGB values for color names,
polar/spherical/cylindrical coordinate plots, implicit plots,
vector field plots, alias mechanism, userinfo, algorithms for
networks (shortest pathes, maximal flow, minimal flow, topologi-
cal sorting), and many many more.
Online documentation (Reference manual and help pages) in English.
Note, that the reference manual is a first draft version.
Hypertext previewer is now able to manage more than one document
and is able to display GIF pictures. No external GIF previewer is
needed. Now you can use wildcards in the help command, for example
? plot* or ? plot??
For latest informations and demos refer via WWW to
http://math-www.uni-paderborn.de/MuPAD/RELEASE_122/
You can get MuPAD 1.2.2 from ftp.uni-paderborn.de. Other ftp server
will update MuPAD next week. Please read the file README to check
if MuPAD 1.2.2 is already installed on this server.
The next section gives an short overview of all new functions. See
on-line help for detailed informations, for example ?stats::stdev,
?series, ?numlib::proveprime, ?plotlib::fieldplot.
Type loadlib("<name">): info(<name>); to get all functions of the
specified package, where <name> is one of the following packages:
combinat, domains, groebner, intlib, linalg, misc, module, numlib,
ode, orthpoly, plotlib, RGB, sharelib, stats and Type.
(faclib, gcdlib, series, specfunc and stdlib have no interface)
Standard Library
----------------
alias, asympt, collect, combine, conjugate, contfrac, decompose,
expose, Factor, fun, func, Im, infinity, limit, linsert, linsolve,
normal, partfrac, pdioe, primpart, radsimp, randpoly, Re, rectform,
resultant, revert, RootOf, series, simplify, solve, sum, TeX, unalias,
userinfo
Special functions
-----------------
besselJ, besselY, eint, psi
New simplification rules added to almost all functions in this package.
Linear Algebra (linalg)
-----------------------
cholesky, curl, divergence, eigenValues, exp, extractMatrix,
grad, isHermitian, isOrthogonal, isPosDef, jacobian, jordan-
Form, randomMatrix, vectorPotential
Domains (domains)
-----------------
Domains: AlgebraicExtension, Infinity, Interval, Product,
TruncatedPowerSeries, ExpressionField
Categories: FiniteCollectionCat, HomogenousFiniteCollectionCat,
HomogenousFiniteProductCat, Module, RightModule
Plot Package (plotlib)
----------------------
cylindricalplot, fieldplot, implicitplot, polarplot, spherical-
plot, xrotate, yrotate
Number Theory (numlib)
----------------------
decimal, pollard, proveprime
Statistics (stats)
------------------
ChiSquare, mean, normal, stdev, variance
Miscellaneous
-------------
faclib::roots, sharelib::iroots,
Ordinary differential equations (ode)
-------------------------------------
MuPAD 1.2.2 can recognize (and solve if possible) the following
kinds of equations:
- linear equations with constant coefficients
- autonomous equations
- linear equations that have a simple adjoint equation
- first order equation of the form a(x)+y'(x)+b(x)*y(x)=0
- first-order linear systems with constant coefficients
- separate equations
- linear equations that have polynomial solutions
See ?ode for more details.
Algorithms for networks (network)
---------------------------------
AddEdge, AddVertex, AllShortPath, ChangeEdge, ChangeVertex,
Complete, ConvertSSQ, Cycle, DelEdge, DelVertex, ECapacity,
EWeight, Edge, Epost, Epre, InDegree, IsEdge, IsVertex, Long-
Path, MaxFlow, MinCost, MinCut, OutDegree, PrintGraph, Random,
ShortPath, TopSort, Vertex, VWeight.
Numerical integration
---------------------
Numerical integration is invoked by applying float to the
unevaluated integral as in int(f(x),x=a..b); float(%); or
directly by calling float(int(f(x),x=a..b)). Only finite inter-
vals can be handled by now, e.g. this implementation doesn't
accept the values infinity or -infinity for a and/or b. f must be
continuous in [a, b], e.g. there are no endpoint singularities
and no discontinuity in the interior of the interval of integra-
tion. Otherwise the numerical integration returns the unevaluated
integral.
New platforms
=============
* Hewlett-Packard 9000/700, HP-UX 9.0 or later
* PC, NetBSD 1.0 or later
Alpha releases (not available by now):
* PC, MS-Windows 3.1 or later
* PC, Linux-ELF
* Motif version for Sun 4
* PowerMacintosh, System 7.0 or later
Comparisons/Reviews
===================
Paul Zimmermann, a researcher from INRIA, has written a paper
"Wester's Test Suite in MuPAD 1.2.2" based on Michael Wester's
paper "A Review of CAS mathematical Capabilities". Paul describes
the problems that can be solved with MuPAD, whereas the original
paper describes the capabilities of Axiom, Derive, Macsyma, Maple,
Mathematica and Reduce to solve these problems.
* Paul Zimmermann: Wester's test suite in MuPAD 1.2.2, 1995
Can be found on
http://math-www.uni-paderborn.de/MuPAD/RELEASE_122/WESTER/wester.html
or in the April issue of the CAN Nieuwsbrief 14, 1995.
* Michael Wester: A Review of CAS Mathematical Capabilities, 1994
Can be found on ftp://math.unm.edu/pub/cas/
Frank Postel has written a paper "c't magazine test suite" based
on Braun's article "Das Ende des Bleistifts".
* Frank Postel: c't magazine test suite with MuPAD 1.2.2, 1995
Can be found on
http://math-www.uni-paderborn.de/MuPAD/RELEASE_122/CT-TEST/CT_test.html
* Stefan Braun, Harald Haeuser: Das Ende des Bleistifts,
c't, issue 7, July 1995.
New MuPAD ftp sites
===================
From now on MuPAD is also available (mirrored) on the following
official ftp sites:
Deutschland
ftp.uni-paderborn.de : /pub/unix/MuPAD (home site)
math-ftp.uni-paderborn.de : /pub/MuPAD
ftp.ask.uni-karlsruhe.de : /pub/education/mathematics/MuPAD
ftp.Germany.EU.Net : /pub/comp/applications/math/mupad
France
ftp.inria.fr : /lang/MuPAD
Switzerland
ftp.switch.ch : /mirror/MuPAD
USA
ftp.math.utah.edu : /pub/mupad
archives.math.utk.edu : /software/multi-platform/MuPAD
Additional ftp server for Linux-MuPAD
ftp sunsite.unc.edu : /pub/Linux/apps/math/MuPAD
with official mirrows in Asia (Thailand, Hong Kong, Japan),
Australia, Europe (Austria, Czech Republic, France, Germany,
Hungary, Italy, Switzerland, Turkey, United Kingdom),
North America (USA) and South America (Chile).
For latest information refer via WWW to
http://math-www.uni-paderborn.de/MuPAD/FAQ/INTERNET_SERVICES/ftp.html
We hope that solves your problems of breaking connections to
our often overloaded site. Special thanks to Paul Zimmermann
(INRIA), Christian Hettler (ASK), Nelson Beebe and Pieter
Bowman (University of Utah).
For a better support outside France and Germany we are looking
for further official MuPAD sites. Especially in South America,
Australia, Asia, ... Please, if you are able and willing to mirror
MuPAD on your site send a mail to MuPAD-webmaster@uni-paderborn.de