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gnuplot plots 2d and 3d graphs, from a data file or with a formula. It has an interactive mode with online help, or it can be used non-interactively. gnuplot does function fitting to data sets, and it does output to many terminals, among which are PostScript, X11 display, PNG, and GIF (via the old gd library).
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. It may also be used as a batch-oriented language.
Stellarium renders 3D photo-realistic skies in real time with OpenGL. It displays stars, constellations, planets and nebulae, and has many other features including multiple panoramic landscapes, fog, light pollution simulation and a built-in scripting engine. Stellarium comes with a star
Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high
PLplot is a library of functions that are useful for making scientific plots. PLplot can be used from within compiled languages such as Ada, C, C++, FORTRAN and Java, and interactively from interpreted languages such as Octave, Python, Perl and Tcl. The PLplot library can be used to create
Step is an interactive physical simulator. It works like this: you place some bodies on the scene, add some forces, such as gravity or springs, then click "Simulate" and Step shows you how your scene will evolve according to the laws of physics. You can change every property of bodies and
Gravit is a gravity simulator which runs under Linux, Windows and Mac OS X. It's released under the GNU General Public License which makes it free. It uses Newtonian physics using the Barnes-Hut N-body algorithm. Although the main goal of Gravit is to be as accurate as possible, it also creates
XMDS is a code generator that integrates equations. You write them down in human readable form in a XML file, and it goes away and writes and compiles a C++ program that integrates those equations as fast as it can possibly be done in your architecture.
This is another library for creating and manipulating graphs. There is simply no other graph library out there which can be handle graphs of the size the author is confronted with efficiently. Whenever possible igraph tries to be also user friendly and portable. igraph started as an additional
Set of open, reliable, math functions in classes (=collections by domains) designed to be used from any project/library, with any data-structure. In other words, all the things you usually rewrite for each project. But coded with universality in mind. The most important package is the
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