Teorik Makale
BibTex RIS Kaynak Göster

Yıl 2024, Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 57 - 66, 29.12.2024
https://doi.org/10.33773/jum.1562659
https://izlik.org/JA97GA58AX

Öz

Kaynakça

  • A. Has, B. Yılmaz, On Quaternionic Bertrand Curves In Euclidean 3-space, Turkish Journal of Mathematics and Computer Science, Vol.14,No.2, pp.355-365 (2022).
  • B. Divjak, Special Curves On Ruled Surface in Galilean and Pseudo-Galilean Space, Acta Mathematica Hungarica, Vol. 98, No.3, pp. 203-215 (2003).
  • S. Senyurt, D.Canlı, K.H. Ayvacı, Associated Curves From A Different Point of View in E3, Communications Faculty of Sciences University of AnkaraSeries A1 Mathematics ans Statistics, Vol.71, No.3, pp. 826-845 (2022).
  • F. Guler, The Quasi Parallel Curve of A Space Curve, Celal Bayar University Journal of Science, Vol. 18, No.2, pp. 203-206 (2022).
  • A. Srivastava, E. Klassen, H.J. Shantanu, I.H. Jermyn, Shape Analysis of Elastic Curves in Euclidean Spaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol.33, No.7, pp. 1415-1428 (2011).
  • U. Gozutok, H.A. Coban, Y. Sagıroglu, Frenet Frame With Respect To Conformable Derivative, Filomat, Vol.33, No.6, pp. 1541-1550 (2019).
  • M.T. Aldossary, M.A. Gazwani, Motion Of Parallel Curves And Surfaces In Euclidean 3-space R3, Global Journal of Advanced Research on Classical and Modern Geometries, Vol.9, No.1, pp. 43-56 (2020).
  • Y. Keles, Galile ve Yarı-Galile Uzaylarında Egriler, Yuksek Lisans Tezi, Karadeniz Teknik Universitesi, Fen Bilimleri Enstitusu, Trabzon, (2014).
  • H. Liu, F. Wang, Mannheim Partner Curves in 3-Space, Journal of Geometry, Vol.88, No.1, pp. 120-126 (2008). B. ONeill, Elementary Differential Geometry, Second Edition, Elsevier, USA, (2006).
  • Y. Sagıroglu, G. Kose, Parallel Curves Based on Normal Vector, Sinop Uni. J. Nat. Sci., Vol.9, No.1, pp. 1-13 (2024).

BINORMAL CURVES

Yıl 2024, Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 57 - 66, 29.12.2024
https://doi.org/10.33773/jum.1562659
https://izlik.org/JA97GA58AX

Öz

We give the definition of binormal curves. The curvature, the torsion and Frenet frame of this curve are calculated. Also, the examples of binormal curves are given.

Kaynakça

  • A. Has, B. Yılmaz, On Quaternionic Bertrand Curves In Euclidean 3-space, Turkish Journal of Mathematics and Computer Science, Vol.14,No.2, pp.355-365 (2022).
  • B. Divjak, Special Curves On Ruled Surface in Galilean and Pseudo-Galilean Space, Acta Mathematica Hungarica, Vol. 98, No.3, pp. 203-215 (2003).
  • S. Senyurt, D.Canlı, K.H. Ayvacı, Associated Curves From A Different Point of View in E3, Communications Faculty of Sciences University of AnkaraSeries A1 Mathematics ans Statistics, Vol.71, No.3, pp. 826-845 (2022).
  • F. Guler, The Quasi Parallel Curve of A Space Curve, Celal Bayar University Journal of Science, Vol. 18, No.2, pp. 203-206 (2022).
  • A. Srivastava, E. Klassen, H.J. Shantanu, I.H. Jermyn, Shape Analysis of Elastic Curves in Euclidean Spaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol.33, No.7, pp. 1415-1428 (2011).
  • U. Gozutok, H.A. Coban, Y. Sagıroglu, Frenet Frame With Respect To Conformable Derivative, Filomat, Vol.33, No.6, pp. 1541-1550 (2019).
  • M.T. Aldossary, M.A. Gazwani, Motion Of Parallel Curves And Surfaces In Euclidean 3-space R3, Global Journal of Advanced Research on Classical and Modern Geometries, Vol.9, No.1, pp. 43-56 (2020).
  • Y. Keles, Galile ve Yarı-Galile Uzaylarında Egriler, Yuksek Lisans Tezi, Karadeniz Teknik Universitesi, Fen Bilimleri Enstitusu, Trabzon, (2014).
  • H. Liu, F. Wang, Mannheim Partner Curves in 3-Space, Journal of Geometry, Vol.88, No.1, pp. 120-126 (2008). B. ONeill, Elementary Differential Geometry, Second Edition, Elsevier, USA, (2006).
  • Y. Sagıroglu, G. Kose, Parallel Curves Based on Normal Vector, Sinop Uni. J. Nat. Sci., Vol.9, No.1, pp. 1-13 (2024).
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Cebirsel ve Diferansiyel Geometri
Bölüm Teorik Makale
Yazarlar

Yasemin Sağıroğlu 0000-0003-0660-211X

Gönül Köse 0009-0007-4855-1353

Gönderilme Tarihi 7 Ekim 2024
Kabul Tarihi 5 Kasım 2024
Yayımlanma Tarihi 29 Aralık 2024
DOI https://doi.org/10.33773/jum.1562659
IZ https://izlik.org/JA97GA58AX
Yayımlandığı Sayı Yıl 2024 Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"

Kaynak Göster

APA Sağıroğlu, Y., & Köse, G. (2024). BINORMAL CURVES. Journal of Universal Mathematics, 7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"), 57-66. https://doi.org/10.33773/jum.1562659
AMA 1.Sağıroğlu Y, Köse G. BINORMAL CURVES. JUM. 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):57-66. doi:10.33773/jum.1562659
Chicago Sağıroğlu, Yasemin, ve Gönül Köse. 2024. “BINORMAL CURVES”. Journal of Universal Mathematics 7 (To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"): 57-66. https://doi.org/10.33773/jum.1562659.
EndNote Sağıroğlu Y, Köse G (01 Aralık 2024) BINORMAL CURVES. Journal of Universal Mathematics 7 To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 57–66.
IEEE [1]Y. Sağıroğlu ve G. Köse, “BINORMAL CURVES”, JUM, c. 7, sy To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", ss. 57–66, Ara. 2024, doi: 10.33773/jum.1562659.
ISNAD Sağıroğlu, Yasemin - Köse, Gönül. “BINORMAL CURVES”. Journal of Universal Mathematics 7/To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" (01 Aralık 2024): 57-66. https://doi.org/10.33773/jum.1562659.
JAMA 1.Sağıroğlu Y, Köse G. BINORMAL CURVES. JUM. 2024;7:57–66.
MLA Sağıroğlu, Yasemin, ve Gönül Köse. “BINORMAL CURVES”. Journal of Universal Mathematics, c. 7, sy To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", Aralık 2024, ss. 57-66, doi:10.33773/jum.1562659.
Vancouver 1.Sağıroğlu Y, Köse G. BINORMAL CURVES. JUM [Internet]. 01 Aralık 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):57-66. Erişim adresi: https://izlik.org/JA97GA58AX