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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!
APLEpy stands for Algebraic Programming Language Extension for Python. It is an open source alternative to commercial products such as AMPL and GAMS. It offers the same high level of abstraction while keeping the advantages of using Python environment.
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?)
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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.
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.
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.
SciGraphica is a scientific data visualization and analysis application, supplying many of the basic plotting features for 2D and 3D charts. It features opening several worksheets and plots to work with at the same time and PS output.
Robotic Manipulator Development and Simulation Environment in Python and Blender. IMPORTANT: Development moved to github. http://github.com/ajnsit/r2d3
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.
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_.
The main goal of this project is to create a system-independent MathML rendering engine in Python. This engine works with an abstract 'plotter' driver class, that can be subclassed for any rendering device needed.
Latex editor with document structure tree view and project handling. Latex output allows direct jump to warnings/errors. Projects folders gives support for figures/graphs. Editor component includes usual features like search/replace and syntax highlight.
RISO: distributed, heterogeneous Bayesian belief networks. Belief network: a probability model defined on an acyclic directed graph; distributed: nodes can be on different hosts; and heterogeneous: allowing different types of conditional distributions.
boost_graph tried to wrap the C++ Boost Graph library in Python, providing graph algorithms like Breadth First Search, DFS, Shortest Path, Topological sort. This project is dead (http://bayleshanks.com/pamv1)