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An Example of Clifford Algebras Calculations with GiNaC

Mathematical Software 2016-08-31 v5 Computational Geometry Graphics Symbolic Computation

Abstract

This example of Clifford algebras calculations uses GiNaC (http://www.ginac.de/) library, which includes a support for generic Clifford algebra starting from version~1.3.0. Both symbolic and numeric calculation are possible and can be blended with other functions of GiNaC. This calculations was made for the paper math.CV/0410399. Described features of GiNaC are already available at PyGiNaC (http://sourceforge.net/projects/pyginac/) and due to course should propagate into other software like GNU Octave (http://www.octave.org/), gTybalt (http://www.fis.unipr.it/~stefanw/gtybalt.html), which use GiNaC library as their back-end.

Keywords

Cite

@article{arxiv.cs/0410044,
  title  = {An Example of Clifford Algebras Calculations with GiNaC},
  author = {Vladimir V. Kisil},
  journal= {arXiv preprint arXiv:cs/0410044},
  year   = {2016}
}

Comments

20 pages, LaTeX2e, 12 PS graphics in one figure; v3 code improvements; v4 small code correction for new libraries; v5 comments are redesined to be more readable