401 lines
9.8 KiB
HTML
401 lines
9.8 KiB
HTML
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>Mathematics Packages</TITLE
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>Scientific Computing with Free software on GNU/Linux HOWTO</TH
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CLASS="sect1"
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><A
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NAME="mathpack"
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></A
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>4. Mathematics Packages</H1
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><P
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> All the links below are free high level languages and Mathematics Packages
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for Scientific Computation on Linux. These packages are usually like a
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Mathematical Laboratory in which numerical computations can be done and
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usually have their own interpreted language. They either link to a
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popular (free) plotting package or have their own graphics and plotting
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capability. They also provide capability to I/O files and interface
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with other programming languages like C, C++, Fortran, etc ... Now a days
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some of them have parallel programming capabilities. I have not included
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<A
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HREF="http://www.mupad.de/"
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TARGET="_top"
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>MuPAD</A
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>, a good symbolic math
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package, since is not really free. Check out if their most
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<A
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HREF="http://www.sciface.com/personal.shtml"
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TARGET="_top"
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> free license</A
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>
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suits you.
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</P
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><P
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></P
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><UL
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><LI
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><P
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> <A
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HREF="http://www.octave.org/"
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TARGET="_top"
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>Octave</A
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>:
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An excellent package for numerical computations.
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It uses gnuplot for plotting
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and has a online help. It is also easily extensible (i.e. new functions,
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procedures can be written) either using its own language or by using
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dynamically loadable modules written in C, C++, Fortran or other languages.
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An extensive manual is available
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<A
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HREF="http://www.octave.org/doc/octave_toc.html"
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TARGET="_top"
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>here</A
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>.
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You can get a GNOME based front end for it
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<A
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HREF="http://freshmeat.net/projects/goctave/"
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TARGET="_top"
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>here</A
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>.
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It is distributed under the GNU Public License.
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</P
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></LI
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><LI
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><P
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> <A
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HREF="http://www-rocq.inria.fr/scilab/"
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TARGET="_top"
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>Scilab</A
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>:
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Another superb package numerical computations having a good user interface
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and a very good online click-able help. Its plotting and graphic capabilities
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are also very impressive. It also provides for easy interfacing with Fortran
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and C. It has its own
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<A
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HREF="http://www-rocq.inria.fr/scilab/license.txt"
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TARGET="_top"
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>free license</A
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>.
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</P
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></LI
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><LI
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><P
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> <A
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HREF="http://wuarchive.wustl.edu/languages/yorick/doc/index.html"
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TARGET="_top"
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> Yorick</A
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>:
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Yorick is a fast, interpreted language, designed for scientific computing and
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numerical analysis. The syntax is similar to C, but the variables need not
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be declared. It offers an interactive graphics package based on X windows.
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X-Y plots, quadrilateral meshes, filled meshes, cell arrays, and contours are
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supported. You can embed compiled routines in Yorick to solve problems for
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which the interpreter is too slow. It is also useful as a pre and post
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processor for large physical simulation programs. A tutorial like manual
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is available
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<A
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HREF="http://wuarchive.wustl.edu/languages/yorick/doc/manual/yorick.html"
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TARGET="_top"
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> here</A
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>.
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Yorick is open source software,
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<A
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HREF="http://wuarchive.wustl.edu/languages/yorick/doc/copyright.html"
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TARGET="_top"
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> copyright</A
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> of the Regents of the University of California.
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</P
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></LI
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><LI
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><P
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> <A
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HREF="http://algae.sourceforge.net/"
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TARGET="_top"
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>Algae</A
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>:
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As the above link describes it, Algae is a interpreted language for
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numerical analysis. It was developed as a fast and versatile
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tool, capable of handling large problems. Algae consists of the programming
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language Algae, and algae, the interpreter.
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Its features include speed (generally much faster than octave, RLaB
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and Scilab), storage of sparse arrays and a code profiling capability
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(to check where your code spends its time). A user manual is available
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<A
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HREF="http://algae.sourceforge.net/algae.html"
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TARGET="_top"
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>here</A
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>.
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It is distributed under the GNU General Public License.
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</P
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></LI
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><LI
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><P
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> <A
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HREF="http://yacas.sourceforge.net/"
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TARGET="_top"
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>YACAS</A
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>:
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As the above link describes it, "YACAS is an easy to use, general purpose
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Computer Algebra System, a program for symbolic manipulation of
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mathematical expressions. It uses its own programming language designed for
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symbolic as well as arbitrary-precision numerical computations". Links to
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documentation (user manual, tutorial, etc ..) is available
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<A
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HREF="http://yacas.sourceforge.net/manindex.html"
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TARGET="_top"
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>here</A
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>.
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It is distributed under the GNU General Public License.
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</P
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></LI
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><LI
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><P
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> <A
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HREF="http://rlab.sourceforge.net/"
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TARGET="_top"
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>RLAB</A
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>:
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The above link describes it thus, "Rlab is an interactive, interpreted
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scientific programming environment. Rlab is a very high level language
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intended to provide fast prototyping and program development, as well
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as easy data-visualization, and processing". It is distributed under the
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GNU General Public License. The author Ian Searle has written an article in
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<A
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HREF="http://www.linuxjournal.com/"
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TARGET="_top"
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>The Linux Journal</A
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> titled
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<A
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HREF="http://rlab.sourceforge.net/lj/lj.html"
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TARGET="_top"
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>An Introduction to Rlab
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</A
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>
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which as he reminds us, is a bit dated, and a
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<A
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HREF="http://rlab.sourceforge.net/html/rlab-ref.html"
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TARGET="_top"
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> Reference Manual</A
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> is also available.
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</P
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></LI
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><LI
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><P
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> <A
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HREF="http://maxima.sourceforge.net"
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TARGET="_top"
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> Maxima</A
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>:
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Maxima is a symbolic computation program. The above link describes it
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as follows, "Maxima is a descendant of DOE Macsyma, which had its origins
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in the late 1960s at MIT. It is the only system based on that effort still
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publicly available and with an active user community, thanks to its open
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source nature. Macsyma was the first of a new breed of computer algebra
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systems, leading the way for programs such as Maple and Mathematica. This
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particular variant of Macsyma was maintained by William Schelter from 1982
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until he passed away in 2001. In 1998 he obtained permission to release
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the source code under GPL".
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</P
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></LI
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><LI
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><P
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> <A
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HREF="http://www.r-project.org/"
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TARGET="_top"
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>The R-Project for Statistical Computing</A
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>:
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R is a language and environment for statistical computing and graphics.
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It provides a large collection of tools for statistical analysis of large
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arrays of data and also graphical facilities. R is also a complete effective
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programming language. For computationally intensive tasks, C, C++ and Fortran
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code can be linked and called at run time. A comprehensive set of manuals
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dealing with installation, introduction, writing extensions, etc ... is
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available <A
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HREF="http://cran.r-project.org/manuals.html"
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TARGET="_top"
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>here</A
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>.
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It is distributed under the GNU General Public License.
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</P
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></LI
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><LI
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><P
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> <A
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HREF="http://www.fis.unipr.it/%7Estefanw/gtybalt.html"
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TARGET="_top"
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>gTybalt</A
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>:
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gTybalt is a step towards a free computer algebra system. It is object
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oriented, allowing symbolic calculations within C++. It is efficient,
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in the sense that solutions developed with gTybalt can be compiled with
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a C++ compiler and executed independently of gTybalt. The mathematical
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formulae are visualized using TeX fonts and can easily be converted to
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LaTeX. I did not realize that it has good graphic capabilities till I
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checked out the gTybalt
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<A
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HREF="http://www.fis.unipr.it/%7Estefanw/gtybalt/gtybalt.html"
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TARGET="_top"
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>manual</A
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>.
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It is distributed under the GNU General Public License.
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</P
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></LI
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><LI
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><P
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> <A
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HREF="http://www-swiss.ai.mit.edu/%7Ejaffer/JACAL.html"
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TARGET="_top"
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>JACAL</A
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>:
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As the link above describes it, " JACAL is an interactive symbolic mathematics
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program. JACAL can manipulate and simplify equations, scalars, vectors,
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and matrices of single and multiple valued algebraic expressions containing
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numbers, variables, radicals, and algebraic differential, and holonomic
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functions".
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</P
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></LI
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><LI
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><P
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> <A
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HREF="http://www.gnu.org/software/bc/bc.html"
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TARGET="_top"
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>bc</A
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>:
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bc is an arbitrary precision numeric processing language. It supports
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interactive execution of statements. Click here for a <A
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HREF="http://www.gnu.org/manual/bc/index.html"
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TARGET="_top"
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>Manual</A
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> in a variety of formats.
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It is GNU software and is distributed under the GNU General Public License.
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</P
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