Results 91 to 100 of about 824,488 (198)

On the Darboux vector of a new fractional frame [PDF]

Fractional derivatives are useful tools for many applications in different branch of science such as optics and engineering. In this paper, the ∧-fractional frame that is obtained along a space curve by using the ∧-fractional derivative is being examined
Dede, Mustafa, Toplama, Aykut
core   +1 more source

Uzay eğrisi boyunca Frenet Çatısı

, 2023
Bu çalışmada öncelikle kesirli türev ve integrallerden bahsedilmektedir. Daha sonra Frenet çatısı ve formüllerine yer verilmektedir. Frenet çatısı üzerinde ˄-kesirli türevin ne ifade ettiği incelenerek ˄-kesirli Darboux vektörü inşa edilmiştir. ˄-kesirli
Dede, Mustafa, Toplama, Aykut
core   +1 more source

Generalized Fermi–Walker derivative and non-rotating frame

, 2017
In this paper, generalized Fermi–Walker derivative, generalized Fermi–Walker parallelism and generalized non-rotating frame concepts are given for Frenet frame, Darboux frame and Bishop frame for any curve in Euclidean space.
Ayşenur Uçar, Fatma Karakuş, Yusuf Yaylı, Ucar, Aysenur, Yayli, Yusuf, Karakus, Fatma   +5 more
core   +1 more source

On Bishop frame of a pseudo null curve in Minkowski space-time

, 2020
© TÜBITAK. In this paper, we introduce the Bishop frame of a pseudo null curve a in Minkowski space-time. We obtain the Bishop frame's equations and the relation between the Frenet frame and the Bishop frame.
Djordjevic, Jelena, Nesovic, Emilija
core   +1 more source

Construction of the Frenet-Serret frame of a curve in 4D Galilean space and some applications

, 2010
In this work, first, we construct Frenet-Serret frame of a curve in the Galilean 4-space. As a result of this, we obtain the mentioned curve's Frenet-Serret equations.
Yilmaz, Suha
core   +1 more source

Characterization of k,m-Type Slant Helices Using the Modified Orthogonal Frame in Minkowski 3-Space

Journal of Mathematics
Within the scope of differential geometry, exploring how curves relate to each other has long been a broad area of study for many scholars. When investigating curves, particularly space curves, the concept of frame fields, such as the Frenet–Serret frame,
Md Ajmal Khan, Amit Kumar Rai, Foued Aloui, Majid Ali Choudhary, Ibrahim Al-Dayel   +4 more
doaj   +1 more source

Tzitzeica Curves According to Modified Orthogonal Frames

Cumhuriyet Science Journal
This paper explores Tzitzeica curves in three-dimensional Euclidean space through the use of modified orthogonal frames constructed via curvature and torsion functions.
Esra Damar
doaj   +1 more source

Following 3D paths by a manipulator

Archives of Control Sciences, 2015
In the paper a description of a manipulator relative to a desired three-dimensional path was presented. The path is parameterized orthogonally to the Serret-Frenet frame which is moving along the curve.
Mazur Alicja, Płaskonka Joanna, Kaczmarek Mirela   +2 more
doaj   +1 more source

Spatial Generalized Octonionic Curves

Axioms
This study investigates curves in a 7-dimensional space, represented by spatial generalized octonion-valued functions of a single variable, where the general octonions include real, split, semi, split semi, quasi, split quasi, and para octonions.
Mücahit Akbıyık, Jeta Alo, Seda Yamaç Akbıyık   +2 more
doaj   +1 more source

Spacelike developable surfaces through a common line of curvature in Minkowski 3-space

Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2015
This paper studies the problem to construct a spacelike developable surface possessing a given non-null parametric curve as the line of curvature in Minkowski 3-space.
Cai-Yun LI, Chun-Gang ZHU, Ren-Hong WANG
doaj   +1 more source