Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Huseyin Kocayigit"'
Publikováno v:
Foundations of Computing and Decision Sciences, Vol 46, Iss 3, Pp 205-219 (2021)
In this study, unit-speed the Legendre curves are studied in Sasakian 3-manifold. Firstly, differential equations characterizing the Legendre curves are obtained and the method used for the approximate solution is explained. Then, the approximate sol
Publikováno v:
Foundations of Computing and Decision Sciences, Vol 46, Iss 3, Pp 235-254 (2021)
A Laplace operator and harmonic curve have very important uses in various engineering science such as quantum mechanics, wave propagation, diffusion equation for heat, and fluid flow. Additionally, the differential equation characterizations of the h
Publikováno v:
Foundations of Computing and Decision Sciences, Vol 46, Iss 1, Pp 71-83 (2021)
The curves of constant width are special curves used in engineering, architecture and technology. In the literature, these curves are considered according to different roofs in different spaces and some integral characterizations of these curves are
Publikováno v:
New Trends in Mathematical Sciences, Vol 6, Iss 4, Pp 196-202 (2018)
In this paper we consider eight special ruled surfaces associated to Mannheim curve α and Mannheim partner α*, with k1≠ 0. They are called as Frenet ruled surface (FRS) and Mannheim Frenet ruled surfaces (MFRS), cause of their generators are the
Publikováno v:
New Trends in Mathematical Sciences, Vol 6, Iss 4, Pp 182-195 (2018)
In this study, we first show that the system of Frenet-like differential equation characterizing spacelike curves of constant breadth is equivalent to a third order, linear, differential equation with variable coefficients. Then, by using a rational
Autor:
Yılmaz Tunçer, Huseyin Kocayigit
Publikováno v:
New Trends in Mathematical Sciences, Vol 6, Iss 4, Pp 176-181 (2018)
In a set of points that corresponds a vector of vector space constructed on a field is called an affine space associate with vector space. We denote as affine 3-space associated with. The first written sources that can be achieved about affine space
Publikováno v:
Thermal Science, Vol 23, Iss Suppl. 6, Pp 2149-2157 (2019)
In this study, we investigated the natural mates of equiaffine curves with constant equiaffine curvatures, associated to equiaffine frame in affine 3-space and we gave the position vectors under some conditions. © 2019 Society of Thermal Engineers o
Autor:
Okullu Balki Pınar, Huseyin Kocayigit
Publikováno v:
Thermal Science, Vol 23, Iss Suppl. 6, Pp 2037-2043 (2019)
In this study, we will give the differential representation of the Lorentzian spherical timelike curves according to Bishop frame and we obtain a third-order linear differential equation which represents the position vector of a timelike curve lying
Publikováno v:
Thermal Science, Vol 23, Iss Suppl. 1, Pp 361-370 (2019)
In this paper, spherical curves are studied by using Bishop frame. First, the differential equation characterizing the spherical curves is given. Then, we exhibit that the position vector of a curve which is lying on a sphere satisfies a third-order
Publikováno v:
New Trends in Mathematical Sciences, Vol 6, Iss 4, Pp 016-027 (2018)
A slant helix is a kind of helix whose normal line makes a constant angle with a fixed direction. Due to the diversity of the application areas of the slant helices, a lot of work has been done in recent years. In this paper, some characterizations o