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LeftContraction ​

The left contraction a⌟ba \lrcorner b: the geometric product of aa and bb at grade ∣b∣−∣a∣|b|-|a|, zero when aa has the higher grade.

LeftContraction(a, b)a⌟ba \lrcorner b, the geometric product of aa and bb at grade ∣b∣−∣a∣|b|-|a|
Typed signatures
TypePackageApplies
(number, number) -> numbergeometricalways

Domain: Geometric algebra

Examples

Basic #

Contracting e1e_1 out of e1e2e_1e_2 leaves e2e_2

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InLeftContraction(e1,e1e2)\mathrm{LeftContraction}(e_1, e_1e_2)Oute2e_2
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Examples1

See also: RightContraction, ScalarProduct