Multilinear algebra | Geometric algebra | Clifford algebras

Paravector

The name paravector is used for the sum of a scalar and a vector in any Clifford algebra, known as geometric algebra among physicists. This name was given by J. G. Maks in a doctoral dissertation at Technische Universiteit Delft, Netherlands, in 1989. The complete algebra of paravectors along with corresponding higher grade generalizations, all in the context of the Euclidean space of three dimensions, is an alternative approach to the spacetime algebra (STA) introduced by David Hestenes. This alternative algebra is called algebra of physical space (APS). (Wikipedia).

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From playlist CALCULUS 2 CH 17 PARAMETRIC EQUATIONS

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Related pages

Clifford algebra | D'Alembert operator | Algebra of physical space | Pauli matrices | Antiautomorphism | Spacetime algebra | Bloch sphere | Minkowski space | Geometric algebra | Compact group