dc.contributor.author | Bektaş, Özcan | |
dc.date.accessioned | 2020-12-19T19:40:58Z | |
dc.date.available | 2020-12-19T19:40:58Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Bektaş, Ö. (2018). Normal curves in n-dimensional Euclidean space. Advances in Difference Equations, 456. https://doi.org/10.1186/s13662-018-1922-2 | en_US |
dc.identifier.issn | 1687-1847 | |
dc.identifier.uri | https://doi.org/10.1186/s13662-018-1922-2 | |
dc.identifier.uri | https://hdl.handle.net/11436/1697 | |
dc.description | WOS: 000452827900003 | en_US |
dc.description.abstract | In this paper, we give a generalization of normal curves to n-dimensional Euclidean space. Then we obtain a necessary and sufficient condition for a curve to be a normal curve in the n-dimensional Euclidean space. We characterize the relationship between the curvatures for any unit speed curve to be congruent to a normal curve in the n-dimensional Euclidean space. Moreover, the differentiable function f ( s) is introduced by using the relationship between the curvatures of any unit speed curve in En. Finally, the differential equation characterizing a normal curve can be solved explicitly to determine when the curve is congruent to a normal curve. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springeropen | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Normal curve | en_US |
dc.subject | Curvatures | en_US |
dc.subject | Explicit solutions | en_US |
dc.subject | Position vector | en_US |
dc.subject | 53A04 | en_US |
dc.subject | 53A07 | en_US |
dc.subject | 34A05 | en_US |
dc.title | Normal curves in n-dimensional Euclidean space | en_US |
dc.type | article | en_US |
dc.contributor.department | RTEÜ, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.contributor.institutionauthor | Bektaş, Özcan | |
dc.identifier.doi | 10.1186/s13662-018-1922-2 | |
dc.ri.edit | oa | en_US |
dc.relation.journal | Advances in Difference Equations | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |