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SciPy is a collection of mathematical routines that builds on the NumPy array extension. It collects a large number of general-purpose scientific and engineering routines. With NumPy + SciPy, you can use Python much as you would use Octave, Scilab, Matlab, or IDL
The GNU Scientific Library (GSL) is a numerical library for C and C++ programmers.
The library provides a wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There are over 1000 functions in total with an extensive test suite.
A mathematical open source library written in C#/.Net, aiming to provide a self contained clean framework for symbolic algebraic and numerical / scientific computations.
(from the scilab homepage...)
Scilab is a scientific software package for numerical computations providing a powerful open computing environment for engineering and scientific applications.
Scilab is an open source software. Since 1994 it has
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been distributed freely along with the source code via the Internet. It is currently used in educational and industrial environments around the world. Scilab is now the responsibility of the Scilab Consortium, launched in May 2003. There are currently 25 members in Scilab Consortium. [Less]
XMDS is a code generator that integrates equations. You write them down in human readable form in a XML file, and it goes away and writes and compiles a C++ program that integrates those equations as fast as it can possibly be done in your architecture.
O2scl is an object-oriented library for numerics in C++ useful for solving, minimizing, differentiating, integrating, interpolating, fitting, and more. Classes operate on generic member functions and generic vector types. Includes classes from GSL and CERNLIB.
The Universal Java Matrix Package (UJMP) is an open source Java library that provides sparse and dense matrix classes, as well as a large number of calculations for linear algebra like matrix multiplication or matrix inverse. Operations like mean
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, correlation, standard deviation, replacement of missing values or mutual information are also supported.
Matrices can be imported from and exported to a large number of file formats, also linking to JDBC databases is supported. The Universal Java Matrix Package supports multidimensional matrices as well as generic matrices with a specified object type and can also handle very large matrices even when they do not fit into memory. [Less]
Perl module for handling of numbers with arbitrary many uncertainties. Does automatic error propagation and scientific rounding.
An extension for outputting the objects in LaTeX syntax is available.