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The regressive product (usually referred to as the "meet") is the dual of the exterior product (or "join" in this context)

The dual specification of elements permits, for blades $ A $ and $ B $, the intersection (or meet) where the duality is to be taken relative to the smallest grade blade containing both $ A $ and $ B $ (the join).

$ C \vee D := ((CI^{-1}) \wedge (DI^{-1}))I $

with $ I $ the unit pseudoscalar of the algebra. The regressive product, like the exterior product, is associative.

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See also


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