Turkish Journal of Mathematics and Computer Science

Turkish Journal of Mathematics and Computer Science

Differential Equations for a Space Curve According to the Unit Darboux Vector

Yazarlar: Süleyman ŞENYURT, Osman ÇAKIR

Cilt 9 , Sayı - , 2018 , Sayfalar 91 - 97

Konular:Mühendislik

Anahtar Kelimeler:Darboux vector,Laplacian operator

Özet: In this work, the differential equation of a differentiable curve is expressed, by making use of Laplace  and normal Laplace operators, as a linear combination of the unit Darboux vector defined as C = sinφT + cosφB   of that curve. Later, the necessary and sufficient conditions are given for the space curves to be a 1-type Darboux  vector.


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BibTex
KOPYALA
@article{2018, title={Differential Equations for a Space Curve According to the Unit Darboux Vector}, volume={9}, publisher={Turkish Journal of Mathematics and Computer Science}, author={Süleyman ŞENYURT,Osman ÇAKIR}, year={2018}, pages={91–97} }
APA
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Süleyman ŞENYURT,Osman ÇAKIR. (2018). Differential Equations for a Space Curve According to the Unit Darboux Vector (Vol. 9, pp. 91–97). Vol. 9, pp. 91–97. Turkish Journal of Mathematics and Computer Science.
MLA
KOPYALA
Süleyman ŞENYURT,Osman ÇAKIR. Differential Equations for a Space Curve According to the Unit Darboux Vector. Turkish Journal of Mathematics and Computer Science, 2018, pp. 91–97.