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GradeInvolution ​

The grade involution x^\hat{x}: negate every generator, costing sign (−1)k(-1)^k per grade kk.

GradeInvolution(x)x^\hat{x}, the grade involution of xx
Typed signatures
TypePackageApplies
(number) -> numbergeometricalways

Domain: Geometric algebra

Examples

Basic #

Odd grades change sign; even grades stay

live ↗
InGradeInvolution(e1+e1e2)\mathrm{GradeInvolution}(e_1+e_1e_2)Oute1e2−e1e_1e_2-e_1
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Examples1

See also: Reversion, CliffordConjugate