Results 11 to 20 of about 110,284 (194)
Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space
Mathematics, 2021 The investigation of objects in Minkowski space is of great significance, especially for those objects with mathematical and physical backgrounds. In this paper, we study nullcone fronts, which are formed by the light rays emitted from points on a ...
Pengcheng Li, Donghe Pei
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Null Darboux Curve Pairs in Minkowski 3-Space
Axioms, 2021 Based on the fundamental theories of null curves in Minkowski 3-space, the null Darboux mate curves of a null curve are defined which can be regarded as a kind of extension for Bertrand curves and Mannheim curves in Minkowski 3-space.
Jinhua Qian +3 more
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Ruled translating solitons in Minkowski 3-space [PDF]
Journal of Geometry and Physics, 2021 We characterize all ruled translating solitons in Minkowski 3-space. In contrast to the Euclidean space, we find ruled translating solitons that are not cylindrical. These surfaces appear when the vector field that defines the rulings, viewed as a curve, is a lightlike straight line.
Muhittin Evren Aydin, Rafael López
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Intent Arabic text categorisation based on different machine learning and term frequency
IET Networks, EarlyView., 2022 Abstract The complexity of Internet network configurations has made managing networks a complicated undertaking. Intent‐Based Networking (IBN) is a potential solution to this issue. In contrast to conventional networks, where a concrete description of the settings typically conveys a network administrator's goal kept on each device, an administrator's ...
Mohammad Fadhil Mahdi +1 more
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Parallel curves in Minkowski 3-space
Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 For a curve on the plane, there exists the curve at a fixed distance r (except for some degenerate cases). The curve can be alternatively produced as an envelope of circles with the radius r moving along the curve . As a result,when this structure is translated to three-dimensional space two parallel curves are obtained.
Saltık, Burçin +2 more
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Spacelike Bertrand curves in Minkowski 3-space revisited
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In the geometry of curves in 𝔼3, if the principal normal vector field of a given space curve ϕ with non-zero curvatures is the principal normal vector field of another space curve ϕ*, then the curve ϕ is called a Bertrand curve and ϕ* is called Bertrand ...
Erdem Hatice Altın, İlarslan Kazım
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Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$
Journal of New Theory, 2022 In this paper, the timelike V-Bertrand curve, a new type Bertrand curve in Minkowski 3-Space $E_{1}^{3}$, is characterized. Based on the timelike V-Bertrand curve, the properties of the timelike T, N, and B Bertrand curves are obtained. From the timelike
Burhan Bilgin, Çetin Camcı
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Evolutoids and pedaloids of frontals on timelike surfaces
Open Mathematics, 2023 In this article, we define evolutoids and pedaloids of frontals on timelike surfaces in Minkowski 3-space. The evolutoids of frontals on timelike surfaces are not only the generalization of evolutoids of curves in the Minkowski plane but also the ...
Wang Yongqiao +3 more
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A New Angular Measurement in Minkowski 3-Space
Mathematics, 2020 In Lorentz−Minkowski space, the angles between any two non-null vectors have been defined in the sense of the angles in Euclidean space. In this work, the angles relating to lightlike vectors are characterized by the Frenet frame of a pseudo null ...
Jinhua Qian +3 more
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Bour’s theorem in Minkowski 3-space
Kyoto Journal of Mathematics, 2006 In this study, we show that a generalized helicoid with null axis is isometric to a rotation surface with null axis so that helices on the helicoid correspond to parallel circles on the rotation surface in three dimensional Minkowski space. Moreover, we obtained that these surfaces are minimal. An addition, if these surfaces have the same Gauss map, we
Güler, Erhan, Vanli, Aysel Turgut
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