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GiNaC 1.3.6

GiNaC 1.3.6


GiNaC is an iterated and recursive acronym for GiNaC is Not a CAS, where CAS stands for Computer Algebra System. more>>
GiNaC is an iterated and recursive acronym for GiNaC is Not a CAS, where CAS stands for Computer Algebra System. It is designed to allow the creation of integrated systems that embed symbolic manipulations together with more established areas of computer science (like computation- intense numeric applications, graphical interfaces, etc.) under one roof. It is distributed under the terms and conditions of the GNU general public license (GPL).
The project has been specifically developed to become a replacement engine for xloops which is up to now powered by the Maple CAS. However, it is not restricted to high energy physics applications. Its design is revolutionary in a sense that contrary to other CAS it does not try to provide extensive algebraic capabilities and a simple programming language but instead accepts a given language (C++) and extends it by a set of algebraic capabilities.
Enhancements:
- Bugs in fderivative::match_same_type(), expairseq::match(), expand_dummy_sum(), and expairseq::map() have been fixed, and the C source output has been slightly improved.
- Problems when compiling with GCC 4.2 have been resolved.
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Added: 2007-01-26 License: GPL (GNU General Public License) Price:
1001 downloads
Genius 0.7.7

Genius 0.7.7


Genius is a calculator program similiar in some aspects to BC, Matlab or Maple. more>>
Genius project is a calculator program similiar in some aspects to BC, Matlab or Maple. GEL is the name of its extention language (stands for "Genius Extension Language", clever huh?), in fact, a large part of the standard genius functions are written in GEL itself.
Main features:
- Arbitrary precision ints, multiple precision floats, using all the power of gmp.
- Rational numbers, stored as quotient and denominator.
- Complex numbers, stored in cartesian coordinates as usual.
- Automatic typing, no need to declare types of variables.
- Math-like-looking expressions, tries to be as much a what you mean is what Genius understands, up to a limit of course.
- Matrix calculations, with many related functions.
- Modular arithmetic, including inversions and modular arithmetic on matrices.
- A complete programming language. In fact large part of Genius standard library is written in GEL.
- Can output matrices in LaTeX, Troff (eqn) or MathML, this is I think a very cool feature that allows you to copy stuff directly from the Genius console to a document in LaTeX, troff or MathML. I in fact use this even to just enter matrices into LaTeX documents to begin with.
- 2D Function line plots, standard 2D graphs of up to 10 functions at once, with possibility to export to EPS or PNG
- 3D Function surface plots, with possibility to export to EPS or PNG
- GUI IDE where you can edit and run/test your programs
- A plugin interface, not yet really used.
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Added: 2007-02-03 License: GPL (GNU General Public License) Price:
1065 downloads
Geomview 1.9.3

Geomview 1.9.3


Geomview is an interactive 3D viewing program for Unix. more>>
Geomview is an interactive 3D viewing program for Unix. Geomview lets you view and manipulate three-dimensional objects: you use the mouse to rotate, translate, zoom in and out, and so on.

Geomview can be used as a standalone viewer for static objects or as a display engine for other programs which produce dynamically changing geometry. Geomview can display objects described in a variety of file formats. Geomview comes with a wide selection of example objects, and you can create your own objects too.

Geomview runs on most Unix platforms, including GNU/Linux. Geomview can run under Microsoft Windows using Cygwin. Geomview is free software available under the terms of the GNU Lesser General Public License (GPL).

You can also use Geomview to handle the display of data coming from another program that is running simultaneously. As the other program changes the data, the Geomview image reflects the changes. Programs that generate objects and use Geomview to display them are called external modules. External modules can control almost all aspects of Geomview. The idea here is that many aspects of the display and interaction parts of geometry software are independent of the geometric content and can be collected together in a single piece of software that can be used in a wide variety of situations. The author of the external module can then concentrate on implementing the desired algorithm and leave the display aspects to Geomview. Geomview comes with a collection of sample external modules, and the manual describes how to write your own.

Geomview allows multiple independently controllable objects and cameras. It provides interactive control for motion, appearances (including lighting, shading, and materials), picking on an object, edge or vertex level, snapshots in many image file, PostScript, or Renderman RIB format, and adding or deleting objects is provided through direct mouse manipulation, control panels, and keyboard shortcuts.

Geomview supports the following simple data types: polyhedra with shared vertices (.off), quadrilaterals, rectangular meshes, vectors, and Bezier surface patches of arbitrary degree including rational patches. Object hierarchies can be constructed with lists of objects and instances of object(s) transformed by one or many 4x4 matrices. Arbitrary portions of changing hierarchies may be transmitted by creating named references.

The full specification for object file formats is in the OOGL (Object Oriented Graphics Language) Reference section of the Geomview manual. If you already have Geomview you might want to try out the OOGL tutorial.

Geomview can be used as a Mathematica graphics output device; this makes viewing Mathematica graphics much more interactive. The same is true for Maple. Geomview began as an effort at the Geometry Center at the University of Minnesota to provide interactive geometry software which is particularly appropriate for mathematics research and education. In particular, Geomview can display objects in hyperbolic and spherical space as well as Euclidean space.

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Added: 2007-06-22 License: GPL (GNU General Public License) Price:
856 downloads
Systems of Ordinary Differential Equations 08

Systems of Ordinary Differential Equations 08


Systems of Ordinary Differential Equations uses long Taylor series to solve systems of ordinary differential equations. more>>
Systems of Ordinary Differential Equations uses long Taylor series to solve systems of ordinary differential equations.
SODE.icn is an Icon (or probably Unicon Program) to generate either an Icon (or Unicon) or Maple program to solve a single (or a system of) ordinary differential equation(s).
A long Taylor series method, pioneered by Prof. Y.F. Chang, who taught at the University of Nebraska in the late 1970s when I was a graduate student there, is used.
The number of Taylor series terms can be specified in the problem file, though it is usually 30. The terms are used to calculate the values of the dependant variables, and also the radius of convergence and order of any singularities.
These affect the size of the next increment, but it is hoped that a way to control the error more precisely can be found. In release 20, MAX_TERMS is setable in the problem files. Mostly for STIFF equations.
Enhancements:
- A staticd is no longer returned due to a unicon bug.
- readme.txt was updated.
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Added: 2007-03-28 License: GPL (GNU General Public License) Price:
940 downloads
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