By Daniel Klawitter

After revising identified representations of the crowd of Euclidean displacements Daniel Klawitter supplies a accomplished creation into Clifford algebras. The Clifford algebra calculus is used to build new types that permit descriptions of the gang of projective differences and inversions with recognize to hyperquadrics. Afterwards, chain geometries over Clifford algebras and their subchain geometries are tested. the writer applies this thought and the constructed how to the homogeneous Clifford algebra version equivalent to Euclidean geometry. in addition, kinematic mappings for targeted Cayley-Klein geometries are built. those mappings let an outline of current kinematic mappings in a unifying framework.

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