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Aleph One is a highly sophisticated program for generating fractals. Some major features are: A built-in expression generator, 32-bit colouring schemes for the fractals, multi-threaded and multi-server rendering! WOW! And lots, lots more...
The source code has moved to GitLab: https://gitlab.com/jmmcg/alephone
Check yafu on github for the latest code.
YAFU (with assistance from other free software) uses the most powerful modern algorithms (and implementations of them) to factor input integers in a completely automated way. The automation within YAFU is state-of-the-art, combining factorization algorithms in an intelligent and adaptive methodology that minimizes the time to find the factors of arbitrary input integers.
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
Graph3 integrates with the TI-83+ OS to add new dimensions to the calculator's graphing abilities. Graph 3D functions, including rotation and hidden surface plots; or graph differential equations, complete with Runge-Kutta method, slope fields, and more.
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_.
iS-DOS Math is a set of mathematical programs for ZX-Spectrum home computer running iS-DOS operating system. Includes calculator, graph plotter and symbolic formula processor for engineering calculations.
LiteOS is our attempt to write a free OS for calculators known as "TI-68k". TI naturally stands for Texas Instuments while 68k designs the Motorola 68000, in other words the processor running such calculators.
Improving the speed of the signal analysis code for Seti@home. Leveraging modern processors advanced features such as SIMD and parallel execution units, as well as identifying better methods to code existing functions.
Fast-Fourier-Transform-based number theory code to test Mersenne numbers for primality using the Lucas-Lehmer test and the Crandall-Fagin irrational-base discrete weighted transform (IBDWT) algorithm (Math. Computation 62 (205), pp.305-324, January 1994)