Some Characterizations for a Quaternion-Valued and Dual Variable Curve
dc.authorid | Sivridag, Ali Ihsan/0000-0002-5596-9893; | |
dc.authorwosid | Sivridag, Ali Ihsan/AAA-4298-2021 | |
dc.authorwosid | Karadağ, Müge/AAA-3687-2021 | |
dc.contributor.author | Karadag, Muge | |
dc.contributor.author | Sivridag, Ali Ihsan | |
dc.date.accessioned | 2024-08-04T20:45:44Z | |
dc.date.available | 2024-08-04T20:45:44Z | |
dc.date.issued | 2019 | |
dc.department | İnönü Üniversitesi | en_US |
dc.description.abstract | Quaternions, which are found in many fields, have been studied for a long time. The interest in dual quaternions has also increased after real quaternions. Nagaraj and Bharathi developed the basic theories of these studies. The Serret-Frenet Formulae for dual quaternion-valued functions of one real variable are derived. In this paper, by making use of the results of some previous studies, helixes and harmonic curvature concepts in Q(D3) and Q(D4) are considered and a characterization for a dual harmonic curve to be a helix is given. | en_US |
dc.identifier.doi | 10.3390/sym11020125 | |
dc.identifier.issn | 2073-8994 | |
dc.identifier.issue | 2 | en_US |
dc.identifier.scopus | 2-s2.0-85061873587 | en_US |
dc.identifier.scopusquality | Q2 | en_US |
dc.identifier.uri | https://doi.org/10.3390/sym11020125 | |
dc.identifier.uri | https://hdl.handle.net/11616/98661 | |
dc.identifier.volume | 11 | en_US |
dc.identifier.wos | WOS:000460767300003 | en_US |
dc.identifier.wosquality | Q2 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | Mdpi | en_US |
dc.relation.ispartof | Symmetry-Basel | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | dual quaternion | en_US |
dc.subject | Helixes | en_US |
dc.subject | harmonic curvature | en_US |
dc.title | Some Characterizations for a Quaternion-Valued and Dual Variable Curve | en_US |
dc.type | Article | en_US |