Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Yusuf Yaylı"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 1345-1359 (2023)
In this study, the curve theory, which occupies a very important and wide place in differential geometry, has been studied. One of the most important known methods used to analyze a curve in differential geometry is the Frenet frame, which is a movin
Externí odkaz:
https://doaj.org/article/3bb233dc408d4428807531884f53f24b
Publikováno v:
Miskolc Mathematical Notes, Vol 25, Iss 1, p 79 (2024)
In this paper, we introduce generalized circular surfaces, a generalization of generalized tube surfaces and circular surfaces. Moreover, we define a special dual quaternion by using the moving frame along the spine curve of generalized circular surf
Externí odkaz:
https://doaj.org/article/daf9a15fae7644b089b76c38c9d591de
Publikováno v:
Universal Journal of Mathematics and Applications, Vol 5, Iss 2, Pp 42-50 (2022)
The purpose of this article is to express the daily and yearly apparent movement of the Sun in the same curve by using quaternions as a rotation operator. To achieve this, the daily and yearly apparent movement of the Sun, the algebraical structure o
Externí odkaz:
https://doaj.org/article/8c1b90441cfc48058a703ab1a5104405
Publikováno v:
Journal of Mathematical Sciences and Modelling, Vol 5, Iss 1, Pp 8-15 (2022)
In this present paper, rectifying curves are re-characterized in a shorter and simpler way using harmonic curvatures and some relations between rectifying curves and focal curves are found in terms of their harmonic curvature functions in $n-$dimensi
Externí odkaz:
https://doaj.org/article/1eedee6a5e8646a281f8c2b398f2e3a4
Autor:
Ali Atasoy, Yusuf Yaylı
Publikováno v:
An International Journal of Optimization and Control: Theories & Applications, Vol 11, Iss 1 (2021)
In this study, we obtain triplets from quaternions. First, we obtain triplets from real quaternions. Then, as an application of this, we obtain dual triplets from the dual quaternions. Quaternions, in many areas, it allows ease in calculations and ge
Externí odkaz:
https://doaj.org/article/6193cb07c8c0423894e34e7954a4451c
Autor:
Ali ¸Cakmak, Yusuf Yaylı
Publikováno v:
Қарағанды университетінің хабаршысы. Математика сериясы, Vol 98, Iss 2 (2020)
In the differential geometry of curves and surfaces, the curvatures of curves and surfaces are often calculated and results are given. In particular, the results given by using the apparatus of the curve - surface pair are important in terms of what
Externí odkaz:
https://doaj.org/article/2a7a27ffb2924db6971fb088a3482f1f
Autor:
Yusuf Yaylı, Semra Saraçoğlu
Publikováno v:
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, Vol 7, Iss 1, Pp 56-68 (2012)
Abstarct: In this study, surfaces are defined by using dual vectors and line transformations. A new approach is given for the transformation of parametrically surfaces. Dual curve and dual surface representational model for 3-dimensional geometric en
Externí odkaz:
https://doaj.org/article/3964df1b43634908813ad85ba2dd3e29
Autor:
Sezai Kızıltuğ, Yusuf Yaylı
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We consider curves of AW(k)-type (1≤k≤3) in the equiform geometry of the Galilean space G3. We give curvature conditions of curves of AW(k)-type. Furthermore, we investigate Bertrand curves in the equiform geometry of G3. We have shown that Bertr
Externí odkaz:
https://doaj.org/article/9850955e34c7479cbcd4e63548164c0e
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
A proper curve α in the n-dimensional pseudo-Riemannian manifold (M,g) is called a Vn-slant helix if the function g(Vn,X) is a nonzero constant along α, where X is a parallel vector field along α and Vn is nth Frenet frame. In this work, we study
Externí odkaz:
https://doaj.org/article/9ae2ff5fb43d4456bf8b978f66279234
Autor:
Raheleh Ghadami, Yusuf Yaylı
On a sphere in Euclidean space, spherical spline quaternion interpolation has been carried out using quaternions. Using elliptic quaternions, we performed linear interpolation on an ellipsoid in this research. This interpolation curve is called Elerp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45f6ccc72d7bc59d0e8eda7f6cb88127
https://doi.org/10.21203/rs.3.rs-2809837/v1
https://doi.org/10.21203/rs.3.rs-2809837/v1
