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AquaTerm is a Mac OS X grahics renderer. It allows command line applications written in ObjC, C, FORTRAN, Lisp, Perl or Python to display vector graphics, text and images using a simple API. Adapters for gnuplot, PGPLOT, and PLplot exists as well.

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.

...When it needs to compute derivatives (Jacobian matrix, for example) it does that analytically, i.e. without using numerical methods. It's portable. It works on Windows and Linux 32 and 64 bit and Mac OS X 64 bit. It's open. It allows you to implement and embed your own algorithms (aka "solvers"). It's easy to use. It allows to export results to MS Excel and MATLAB. It's multilingual. It currently supports Englis and Russian languages. It's free. It's distributed under the Boost Software License.