Framed Natural Mates of Framed Curves in Euclidean 3-Space
Mathematics, 2023 In this study, we consider framed curves as regular or singular space curves with an adapted frame in Euclidean 3-space. We define framed natural mates of a framed curve that are tangent to the generalized principal normal of the framed curve ...
Yanlin Li, Mahmut Mak
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Some characterizations of dual curves in dual 3-space $ \mathbb{D}^{3} $
AIMS Mathematics, 2021 In this work, we prove that the ratio of torsion and curvature of any dual rectifying curve is a non-constant linear function of its dual arc length parameter.
Rashad Abdel-Baky, Mohamed Khalifa Saad
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One-Parameter Hyperbolic Spatial Locomotions and Invariants of the Axode
Mathematics, 2023 In this paper, based on the E. Study map, direct appearances were sophisticated for one-parameter hyperbolic dual spherical locomotions and invariants of the axodes.
Areej A. Almoneef, Rashad A. Abdel-Baky
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Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space
Mathematics, 2023 This paper gives new characteristic properties of non-null spherical and rectifying curves in Minkowski 3-space E13. In the light of the causal characteristics, we give some representations of rectifying non-null curves.
Areej A. Almoneef, Rashad A. Abdel-Baky
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Intersection of Continua and Rectifiable Curves [PDF]
Proceedings of the Edinburgh Mathematical Society, 2013 AbstractWe prove that for any non-degenerate continuum K ⊆ ℝd there exists a rectifiable curve such that its intersection with K has Hausdorff dimension 1. This answers a question of Kirchheim.
Balka, Richárd, Harangi, Viktor
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Some characterizations of timelike rectifying curves in de sitter 3 space
Cumhuriyet Science Journal, 2020 De Sitter space is a non-flat Lorentzian space form with positive constant curvature which plays an important role in the theory of relativity. In this paper, we define the notions of timelike rectifying curve and timelike conical surface in De Sitter 3 ...
Mahmut Mak
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Preliminary Design of Reactive Distillation Columns [PDF]
, 2005 A procedure that combines feasibility analysis, synthesis and design of reactive distillation columns is introduced. The main interest of this methodology lies on a progressive introduction of the process complexity.
Agreda +42 more
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Effects of cromakalim (BRL 34915) on potassium conductances in CA3 neurons of the guinea-pig hippocampus in vitro [PDF]
, 1989 The action of the potassium channel activator, cromakalim (BRL 34915), on membrane potential, input resistance and current-voltage-relationship of CA3 neurons in a slice preparation of the guinea-pig hippocampus was investigated by means of intracellular
Alzheimer, Christian +2 more
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Cardiac strength-interval curves calculated using a bidomain tissue with a parsimonious ionic current. [PDF]
PLoS ONE, 2017 The strength-interval curve plays a major role in understanding how cardiac tissue responds to an electrical stimulus. This complex behavior has been studied previously using the bidomain formulation incorporating the Beeler-Reuter and Luo-Rudy dynamic ...
Suran K Galappaththige +2 more
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Direction Curves Associated with Darboux Vectors Fields and Their Characterizations
International Journal of Mathematics and Mathematical Sciences, 2021 In this paper, we consider the Darboux frame of a curve α lying on an arbitrary regular surface and we use its unit osculator Darboux vector D¯o, unit rectifying Darboux vector D¯r, and unit normal Darboux vector D¯n to define some direction curves such ...
Nidal Echabbi, Amina Ouazzani Chahdi
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