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Geometric Algebra (Based on Clifford Algebra)
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http://staff.science.uva.nl/~leo/clifford/
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Geometric algebra is a very convenient representational and computational system for geometry. It is going to be the way computer science deals with geometrical issues. It contains, in a fully integrated manner, linear algebra, vector calculus, differential geometry, complex numbers and quaternions as real geometric entities, and lots more.

 

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