can be used to construct different Clifford algebras.

Geometric algebra

The term k-blade was used in Clifford Algebra to Geometric Calculus (1984)

Multivectors play a central role in the mathematical formulation of physics known as geometric algebra. According to David Hestenes,
:[Non-scalar] k-vectors are sometimes called k-blades or, merely blades, to emphasize the fact that, in contrast to 0-vectors (scalars), they have "directional properties".

In 2003 the term

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