Directional tubular surfaces

Dede, Mustafa; Eki̇ci̇, Cumali̇; Tozak, Hatice

doi:10.12988/ija.2015.51274

Cited by 30 publications

(24 citation statements)

References 12 publications

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“…The quasi‐frame of a regular particle α is given by 28

ξ_{(0)}^{ε} bold= e_{(0)}^{ε}, ξ_{(1)}^{ε} = \frac{e_{(0)}^{ε} \times boldk}{‖{bolde}_{((), 0)}^{ε} \times k‖}, ξ_{(2)}^{ε} = ξ_{(0)}^{ε} \land ξ_{(1)}^{ε},

where projection vector is k = (0, 0, 1).…”

Section: Backround On Quasi Frame and Heisenberg Spacementioning

confidence: 99%

New approach to uniformly quasi circular motion of quasi velocity biharmonic magnetic particles in the Heisenberg space

Körpınar

2021

Math Methods in App Sciences

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In this paper, we define concept of the uniformly quasi circular motion (UQCM) with biharmonicity condition in the Heisenberg space. That is, we aim to define a new class of UQCM in the three‐dimensional Heisenberg space. We further improve an alternative method to find uniformly quasi circular potential electric energy of biharmonic velocity magnetic particles in the Heisenberg space. We also give the relationships between physical and geometrical characterizations of uniformly quasi circular potential electric energy. Finally, we illustrate important figures for uniformly quasi circular potential electric energy with respect to its electric field in the radial direction.

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“…The quasi‐frame of a regular particle α is given by 28

ξ_{(0)}^{ε} bold= e_{(0)}^{ε}, ξ_{(1)}^{ε} = \frac{e_{(0)}^{ε} \times boldk}{‖{bolde}_{((), 0)}^{ε} \times k‖}, ξ_{(2)}^{ε} = ξ_{(0)}^{ε} \land ξ_{(1)}^{ε},

where projection vector is k = (0, 0, 1).…”

Section: Backround On Quasi Frame and Heisenberg Spacementioning

confidence: 99%

New approach to uniformly quasi circular motion of quasi velocity biharmonic magnetic particles in the Heisenberg space

Körpınar

2021

Math Methods in App Sciences

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“…In this paper, we give another approach to evolutions of the ruled surfaces depend on a timelike space curve by q-frame used in [7,8,10,14]. Using q-frame, we present two sets of quasi frame equations with respect to arc-length s and time t .…”

Section:    E E Ementioning

confidence: 99%

Timelike Uzay Eğrisi boyunca q-çatı kullanılarak doğrultmanların gelişimiyle regle yüzeylerin yönlü gelişimleri

Kaymanli

Eki̇ci̇

Dede

2020

European Journal of Science and Technology

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In this study, the ruled surfaces obtained by normal and binormal vectors along a timelike space curve by using q-frame are investigated in 3 dimensional Minkowski space. Directional evolutions of both quasi normal and quasi binormal ruled surfaces are studied by using their directrices. Then, we work on some geometric properties such as inextensibilty, developability and minimality of these ruled surfaces.

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“…In this paper, we choose the projection vector − → k = (0, 0, 1). n q (s) and b q (s) are called the quasi normal vector field and the quasi binormal vector field of the curve α(s), respectively [12].…”

Section: Definitionmentioning

confidence: 99%

On Energies of Charged Particles with Magnetic Field

Sariaydin

2019

Symmetry

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The present paper is about magnetic curves of spherical images in Euclidean 3-space. We obtain the Lorentz forces of the spherical images and then we determine if the spherical images have a magnetic curve or not. If a spherical image has a magnetic curve, then after presenting some basic concepts about the energy of a charged particle whose trajectory is that magnetic curve and the kinetic energy of a moving particle whose trajectory is the spherical indicatrix, we find the energy of the charged particle and the kinetic energy of the moving particle.

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Directional tubular surfaces

Cited by 30 publications

References 12 publications

New approach to uniformly quasi circular motion of quasi velocity biharmonic magnetic particles in the Heisenberg space

New approach to uniformly quasi circular motion of quasi velocity biharmonic magnetic particles in the Heisenberg space

Timelike Uzay Eğrisi boyunca q-çatı kullanılarak doğrultmanların gelişimiyle regle yüzeylerin yönlü gelişimleri

On Energies of Charged Particles with Magnetic Field

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