Applications of dual quaternions to 2D geometry: Difference between revisions

Revision as of 14:18, 17 October 2019

Revision as of 12:31, 18 October 2019

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# The complex numbers, but with dual number entries

An algebra meeting either description exists. And both descriptions are equivalent. (This is due to the fact that the [[tensor product of algebras]] is commutative [[up to isomorphism]]). This algebra can be denoted as <math>\mathbb C[x]/(x^2)</math>, using [[quotient ring|ring quotienting]]. The resulting algebra has a commutative product and is not discussed any further.

== Representing rigid body motions ==