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C++ and Python based open source graph visualization and analysis software, primarily intended for use in the analysis of social networks (other applications are also conceivable).
An object-oriented partial differential equation (PDE) solver, written in Python, based on a standard finite volume approach and includes interface tracking algorithms. *WARNING* The project is no longer using Sourceforge to maintain its repository.
Tk-based standalone graphing system and extensible graphing library with a huge range of 2d modes (maybe 3d soon?) written in Python (Python/Tk are 100% cross platform)
cl-calc aims to be a simple command line calculator. It can handle precedence unlike a lot of graphical calculators. cl-calc is written in Python and requires PLY (Python-Lex-Yacc).
NGmp is a C# C++ Java Python VB.NET etc. etc. binding of GMP and MPFR multi-precision number libraries. With support of Microsoft .NET or Novell Mono runtime NGmp will run on mutliple platforms. It is faster than other libraries available on .NET or Mono
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SAGE is a free and open source mathematics software available from http://www.sagemath.org. The latest version (as of Jan 2012) is 4.7.
Please do NOT download the much older version from sourceforge!
A Python and ANSI C implementation of the Edelsbrunner hyperplane arrangement algorithm described in his book Algorithms in Combinatorial Geometry, supporting arbitrary dimensions, exact rational arithmetic using gmp, and using David Avis lrs solver.
A collection of modules and enduser tools designed to help design, test and use system models. While my research (hence, the examples) is focused on hydro-ecological systems, the program can be used on any system characterized by ODEs (and soon PDEs?)
Traditional but powerful cross-platform calculator. It is written in python and it uses wxWidgets as GUI (project is developed with Boa Constructor). By use of SciPy the vaCalculator can solve linear systems, do math with polynomials, integration etc.
MayaVi is a free, cross platform, easy to use scientific data visualizer. It provides a GUI to ease the visualization process, is written in Python and uses the Visualization Toolkit (VTK) for the graphics.
C++ template class library and Python modules for Computational Analytic Geometry, which define classes of geometry objects in 2D and 3D Cartesian coordinate system, such as line, circle, curve ... as well as relations and transform operations of them.
The NHD Software Project is a collection of the utilities, scripts, APIs, standards, and application extensions used for the quality assurance of stream and river data, conflation/generalisation of hydrographic data, and other hydrologic data maintenance.
Robotic Manipulator Development and Simulation Environment in Python and Blender. IMPORTANT: Development moved to github. http://github.com/ajnsit/r2d3
pystats is a comprehensive Python module implementing algorithms for statistics and information theory, including probability distributions, descriptive statistics, analysis of variance, regression, and inference.
Software to fit whole-sentence language models using the principle of maximum entropy. For developers of speech recognizers, text prediction interfaces, OCR, machine translation software.
SimED is a user-friendly Differential Equation simulation software. It can integrate numerically ODEs (Ordinary Differential Equations) using several methods, plot time and phase-space diagrams for variables, and interactively choose initial conditions.
REPCAL (REverse Polish CALculator) is a light and fast calculator in RPN (reverse polish notation) mode for the console (command line). It is written in 180 lines of Python code, and can be used both interactively or inside shell scripts.
The Wolfram Machine project is an effort to create a set of documentation and useful modules (both hardware and software) for a computing architecture based on the mathematical theories presented in Steven Wolfram's book _A_New_Kind_of_Science_.