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CLISP is a portable ANSI Common Lisp implementation and development environment by Bruno Haible. Interpreter, compiler, debugger, CLOS, MOP, FFI, Unicode, sockets, CLX. UI in English, German, French, Spanish, Dutch, Russian, and Danish.
Freemat is an interpreted, matrix-oriented development environment for engineering and scientific applications, similar to the commercial package MATLAB. Freemat provides visualization, image manipulation, and plotting as well as parallel programming.
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mcrypt, and the accompanying libmcrypt, are intended to be replacements for the old Unix crypt, except that they are under the GPL and support an ever-wider range of algorithms and modes.
libNT is a Number Theory Library which is based on a BigInteger Class. It will contain several algorithms for solving Number Theory Problems. Written in the IDE Code::Blocks
A strong, yet minimalistic Math-oriented Programming Language (MML) providing an easy-to-use console and a command-line script interpreter, targetted towards fast calculations for extremely big numbers, and bundled with a number of math libraries.
Matho is a OS Independant Application and API for mathematical operations, features include curve sketching, calculus, iterative formulae, algebra solver, 2d/3d geometry and mechanical and statistical functionality.
x86mph is an optimized library with vector, matrix, and vertex helpers (including an own TnL) It also contains memory helpers, and other stuff such as image processing (color inverting, changing bpp) taking advantage of x86's 3DNow!, MMX, and SSE
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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_.
This STL-like C++ library contains classes for long integer numbers processing with using of assembler functions as a backend. Lazy evaluation is also used for optimization. It also contains generic implementation of classical number-theory algorithms.