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A Mathematica and Matlab toolboxes for Clifford algebras of n-dimensional Euclidean vector spaces

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Clifford Toolbox for Mathematica and Matlab

Authors: Aragón-Camarasa, G., Aragón-González, G., Aragon J. L. and Rodriguez-Andrade, M. A.

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Introduction

Clifford Toolbox is a collection of functions for doing general calculations with Clifford Algebra (i.e. Geometric Algebra) of fig6, using Mathematica 9.0 or higher and Matlab R2013a or higher. All results are given in terms of the orthonormal basis vectors fig7.

What are Clifford Algebras?

The Clifford algebra of the vector space fig1, with a bilinear form <x,y> of signature p, q, and an orthonormal basis fig2, i=1,2,...,n (=p+q), is generated by fig3 with the relation

fig4

where

fig5

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A Mathematica and Matlab toolboxes for Clifford algebras of n-dimensional Euclidean vector spaces

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