Dual Numbers Approach in Multiaxis Machines Error Modeling

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dc.contributor.authorHrdina, Jaroslavcs
dc.contributor.authorVašík, Petrcs
dc.coverage.issue1cs
dc.coverage.volume2014cs
dc.date.issued2014-06-01cs
dc.description.abstractMultiaxis machines error modeling is set in the context of modern differential geometry and linear algebra. We apply special classes of matrices over dual numbers and propose a generalization of such concept by means of general Weil algebras. We show that the classification of the geometric errors follows directly from the algebraic properties of the matrices over dual numbers and thus the calculus over the dual numbers is the proper tool for the methodology of multiaxis machines error modeling.en
dc.description.abstractPro popis přístojových chyb zavádíme aparát duálních čísel a naznačujeme jeho výhody.cs
dc.formattextcs
dc.format.extent1-6cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationJournal of Applied Mathematics. 2014, vol. 2014, issue 1, p. 1-6.en
dc.identifier.doi10.1155/2014/261759cs
dc.identifier.issn1110-757Xcs
dc.identifier.orcid0000-0003-2460-7571cs
dc.identifier.orcid0000-0001-6725-7378cs
dc.identifier.other107735cs
dc.identifier.researcheridK-7147-2019cs
dc.identifier.researcheridM-4620-2016cs
dc.identifier.scopus14044864000cs
dc.identifier.scopus36761783000cs
dc.identifier.urihttp://hdl.handle.net/11012/193164
dc.language.isoencs
dc.publisherHindawics
dc.relation.ispartofJournal of Applied Mathematicscs
dc.relation.urihttps://www.hindawi.com/journals/jam/2014/261759/cs
dc.rightsCreative Commons Attribution 3.0 Unportedcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1110-757X/cs
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/cs
dc.subjectDual Numbersen
dc.subjectMachines Error Modelingen
dc.subjectWeil algebrasen
dc.subjectKinematicsen
dc.subjectDuální čísla
dc.subjectpřístrojové chyby
dc.subjectWeilovy algebry
dc.subjectkinematika
dc.titleDual Numbers Approach in Multiaxis Machines Error Modelingen
dc.title.alternativeDuální čísla v teorii modelování přístrojových chybcs
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-107735en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:48:51en
sync.item.modts2025.01.17 16:46:15en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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