INVOLUTIONS IN SEMI-QUATERNIONS

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dc.contributor.authorBekar, Murat
dc.contributor.authorYayli, Yusuf
dc.date.accessioned2024-02-23T14:44:51Z
dc.date.available2024-02-23T14:44:51Z
dc.date.issued2016
dc.departmentNEÜen_US
dc.description.abstractInvolutions are self-inverse and homomorphic linear mappings. Rotations, reflections and rigid-body (screw) motions in three-dimensional Euclidean space R-3 can be represented by involution mappings obtained by quaternions. For example, a reflection of a vector in a plane can be represented by an involution mapping obtained by real-quaternions, while a reflection of a line about a line can be represented by an involution mapping obtained by dual-quaternions. In this paper, we will consider two involution mappings obtained by semi-quternions, and a geometric interpretation of each as a planar-motion in R-3.en_US
dc.identifier.doi10.7546/jgsp-41-2016-1-16
dc.identifier.endpage16en_US
dc.identifier.issn1312-5192
dc.identifier.issn1314-5673
dc.identifier.scopus2-s2.0-84995673089en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://doi.org/10.7546/jgsp-41-2016-1-16
dc.identifier.urihttps://hdl.handle.net/20.500.12452/17142
dc.identifier.volume41en_US
dc.identifier.wosWOS:000418893400001en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInst Biophysics & Biomedical Engineering, Bulgarian Acad Sciencesen_US
dc.relation.ispartofJournal Of Geometry And Symmetry In Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDual-Quaternionsen_US
dc.subjectInvolutionsen_US
dc.subjectPlanar-Motionen_US
dc.subjectSemi-Quaternionsen_US
dc.titleINVOLUTIONS IN SEMI-QUATERNIONSen_US
dc.typeArticleen_US

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