Some of the things you can do with the GrassmannAlgebra software. You can: * Set up your own space of any dimension and metric. The default is a 3D Euclidean * Work basis-free or with a basis * Declare your own scalar symbols * Declare your own vector symbols: * Apply Grassmann operations. A Grassmann operation is any of: the complement operation and the six product operations: the exterior, regressive, interior, generalized Grassmann, hypercomplex and Clifford products. * Manipulate Grassmann expressions and numbers. A Grassmann expression is either a scalar, a Grassmann variable, or the result of a sequence of Grassmann operations or sums on Grassmann expressions. A Grassmann number is a Grassmann expression expressed as a linear combination of basis elements. * Compute the grade of any Grassmann expression. * Query the attributes of any expression. * Extract components of different types
L. Falcon-Morales, und E. Bayro-Corrochano. Robotics and Automation, 2006. ICRA 2006. Proceedings 2006 IEEE International Conference on, Seite 2627-2632. (Mai 2006)
R. Krasauskas, und S. Zube. Proceedings of 9th International Conference on Clifford Algebras and their Applications in Mathematical Physics, Weimar, Germany, (2011)
D. Hestenes, und G. Sobczyk. D. Reidel ; Distributed in the U.S.A. and Canada by Kluwer Academic Publishers, Dordrecht; Boston; Hingham, MA, U.S.A., (1984)