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ANOTHER APPLICATION OF SMARANDACHE BASED RULED SURFACES WITH THE DARBOUX VECTOR ACCORDING TO FRENET FRAME IN E3
(ANKARA UNIV, FAC SCI, 2023)In this study, we first define the Smarandache curves derived from the Frenet vectors and the Darboux vector of any curve. Then, we construct new ruled surfaces along these Smarandache curves with the direction vec-tors ... -
ON THE SPHERICAL INDICATRIX CURVES OF THE SPACELIKE SALKOWSKI CURVE WITH TIMELIKE PRINCIPAL NORMAL IN LORENTZIAN 3-SPACE
(HONAM MATHEMATICAL SOC, 2024)In this paper, we calculate Frenet frames, Frenet derivative formulas, curvatures, arc lengths, geodesic curvatures according to the Lorentzian 3-space R31, Lorentzian sphere S21 and hyperbolic sphere H2 0 of the spherical ... -
Some properties of fuzzy sedenion numbers and fuzzy sedenion valued series
(Maejo University, 2023)The analytic properties of fuzzy sedenion numbers and sedenion valued series are studied. For this aim, we first introduce fuzzy sedenion numbers. Then we present infimum, supremum, distance, limit of sequences and other ... -
On the Gaussian curvature of timelike surfaces in Lorentz-Minkowski 3-space
(University of Nis, 2023)In this study, the various expressions of the Gaussian curvature of timelike surfaces whose parameter curves intersect under any angle are investigated and the Enneper formula is obtained in Lorentz-Minkowski 3-space. By ... -
Some special Smarandache ruled surfaces according to alternative frame in E3
(Maejo University, 2023)In this study ruled surfaces formed by alternative unit vectors that draw these curves along Smarandache curves obtained from alternative vectors and alternative unit Darboux vectors of a differentiable curve are defined. ... -
A study on effective data preprocessing and augmentation method in diabetic retinopathy classification using pre-trained deep learning approaches
(Springer, 2023)High glucose levels in the blood not only damage different tissues and organs of the body, but also cause adverse effects on the eye. This condition is called diabetic retinopathy (DR). DR can cause blurred vision, darkening ... -
Geometric properties of timelike surfaces in Lorentz-Minkowski 3-space
(UNIV NIS, FAC SCI MATH, 2023)In this paper, the relationships between geodesic torsions, normal curvatures and geodesic curvatures of the parameter curves intersecting at any angle on timelike surfaces in Lorentz-Minkowski 3 -space are obtained by ... -
SOME SPECIAL SMARANDACHE RULED SURFACES BY FRENET FRAME IN E3-II
(HONAM MATHEMATICAL SOC, 2022)In this study, firstly Smarandache ruled surfaces whose base curves are Smarandache curves derived from Frenet vectors of the curve, and whose direction vectors are unit vectors plotting Smarandache curves, are created. ... -
The Invariants of Dual Parallel Equidistant Ruled Surfaces
(MDPI, 2023)In this paper, we calculate the Gaussian curvatures of the dual spherical indicatrix curves formed on unit dual sphere by the Blaschke vectors and dual instantaneous Pfaff vectors of dual parallel equidistant ruled surfaces ... -
The Dual Expression of Parallel Equidistant Ruled Surfaces in Euclidean 3-Space
(MDPI, 2022)In this study, we examine the dual expression of Valeontis' concept of parallel p-equidistant ruled surfaces well known in Euclidean 3-space, according to the Study mapping. Furthermore, we show that the dual part of the ...
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