1.GNU Octave

GNU Octave is a high-level language, primarily intended for numerical computations. It provides a convenient command line interface for solving linear and nonlinear problems numerically, and for performing other numerical experiments using a language that is mostly compatible with Matlab. It may also be used as a batch-oriented language.

Octave has extensive tools for solving common numerical linear algebra problems, finding the roots of nonlinear equations, integrating ordinary functions, manipulating polynomials, and integrating ordinary differential and differential-algebraic equations. It is easily extensible and customizable via user-defined functions written in Octave's own language, or using dynamically loaded modules written in C++, C, Fortran, or other languages.

A first experimental interface between TeXmacs and GNU Octave has been written by Michael Graffam. Unfortunately, we get little help from the main Octave developers for the improvement of the interface and the integration of patches into the mainline of Octave. So, if you like the idea of using Octave from inside TeXmacs, then please help advertising it.