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Cadabra

Cadabra is a computer algebra system (CAS) designed specifically for the solution of problems encountered in field theory. It has extensive functionality for tensor computer algebra, tensor polynomial simplification including multi-term symmetries, fermions and anti-commuting variables, Clifford algebras and Fierz transformations, implicit coordinate dependence, multiple index types and many more. The input format is a subset of TeX. Both a command-line and a graphical interface are available.

GAP

GAP

GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory. GAP provides a pro ...

Giac/Xcas

Giac/Xcas

Giac/Xcas is a free computer algebra system for Windows, Mac OS X and Linux/Unix (license GPL3, for commercial dual-license co ...

Scilab

Scilab

Scilab is a scientific software package for numerical computations providing a powerful open computing environment for enginee ...