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Dual number
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==Applications in mechanics== Dual numbers find applications in [[mechanics]], notably for kinematic synthesis. For example, the dual numbers make it possible to transform the input/output equations of a four-bar spherical linkage, which includes only rotoid joints, into a four-bar spatial mechanism (rotoid, rotoid, rotoid, cylindrical). The dualized angles are made of a primitive part, the angles, and a dual part, which has units of length.<ref>{{Citation|last=Angeles|first=Jorge|title=The Application of Dual Algebra to Kinematic Analysis|date=1998|work=Computational Methods in Mechanical Systems: Mechanism Analysis, Synthesis, and Optimization|volume=161|pages=3β32|editor-last=Angeles|editor-first=Jorge|series=NATO ASI Series|publisher=Springer Berlin Heidelberg|language=en|doi=10.1007/978-3-662-03729-4_1|isbn=9783662037294|editor2-last=Zakhariev|editor2-first=Evtim}}</ref> See [[screw theory]] for more.
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