Mathomatic is a portable, general-purpose computer algebra system (CAS) that can solve, differentiate, simplify, combine, and compare algebraic equations, perform standard, complex number, modular, and polynomial arithmetic, etc. It does some calculus and is very easy to compile/install, learn, and use. The symbolic math application with a simple command-line interface is designed to be a colorful algebra calculator that is reliable, responsive, and convenient to use. The symbolic math library is lightweight and easy to include in other software, due to being written entirely in C with no additional dependencies.
SLEEF (SIMD Library for Evaluating Elementary Functions) is a library that facilitates programming with SIMD instructions. It implements the trigonometric functions, inverse trigonometric functions, exponential and logarithmic functions in double precision without table look-ups, scattering from, or gathering into SIMD registers, or conditional branches. This library also includes some functions for evaluation in single precision.
SHOGUN is a machine learning toolbox whose focus is on large scale kernel methods and especially on Support Vector Machines (SVM). It provides a generic SVM object interfacing to several different SVM implementations, all making use of the same underlying, efficient kernel implementations. Apart from SVMs and regression, SHOGUN also features a number of linear methods like Linear Discriminant Analysis (LDA), Linear Programming Machine (LPM), (Kernel) Perceptrons, and algorithms to train hidden Markov models. SHOGUN can be used from within C++, Matlab, R, Octave, and Python.
PBZIP2 is a parallel implementation of the bzip2 block-sorting file compressor that uses pthreads and achieves near-linear speedup on SMP machines. The output of this version is fully compatible with bzip2 1.0.2 or newer (ie: anything compressed with PBZIP2 can be decompressed with bzip2).
Fraqtive is a multi-platform generator of the Mandelbrot family fractals. It uses very fast algorithms that support SSE2 and multi-core processors. It generates high quality anti-aliased images and renders 3D scenes using OpenGL. It allows real-time navigation and dynamic generation of the Julia fractal preview.
Treep is a simple language for doing symbolical computations. It operates on numbers and strings that can be organized in more complex objects. These objects are lists of name-value pairs that are stored in memory as AVL trees. It has about sixty built-in functions to operate on such data and a way to define new functions. Treep syntax very much resembles Lisp. The power of treep is its simplicity and security. Treep is a good tool do process objects and relations between them. For example it is possible to define graphs as a sets of vertices and edges in text file, parse that file, do any computations you like, write modified data to text file. Treep works well on graphs, trees, linked lists, simple hashes. Treep is not good at processing texts, dealing with system input/output.
CONSIDEO MODELER allows you to mindmap a complex problem, analyse it qualitatively to discover levers and bottlenecks, and even to simulate it by automatically building a system dynamics model. One can integrate any external data and setup a customized management cockpit for playing out scenarios. It is useful for organizational problems, project management, financial analysis, production processes, score cards, and much more.