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Rare Oral Manifestations of Systemic Amyloidosis: A Case Report. [PDF]
Barazanji S +2 more
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Ruled invariants and associated ruled surfaces of a space curve
Applied Mathematics and Computation, 2019As we know, a ruled surface is the tangent ruled surface of a space curve if and only if its ruled distance density function vanishes identically; a ruled surface is the binormal ruled surface of a space curve if and only if its ruled translation density
Huili Liu, Yixuan Liu, S. Jung
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Geometric Algebra of Singular Ruled Surfaces
Advances in Applied Clifford Algebras, 2021Yanlin Li, Zhigang Wang, T. Zhao
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Generalized osculating‐type ruled surfaces of singular curves
Mathematical methods in the applied sciences, 2023In this study, we introduce generalized osculating‐type ruled surfaces of special singular curves. We give some theories and results about the geometric structure of the surface.
Bahar Doğan Yazıcı +2 more
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From Ruled Surfaces to Elastica-ruled Surfaces: New Possibilities for Creating Architectural Forms
Journal of the International Association for Shell and Spatial Structures, 2021Ruled surfaces are widely used for architectural forms, as diverse 3D shapes can be conveniently generated by the movement of a straight ruling. There is vast potential to create a rich variety of new architectural forms by introducing curved rulings ...
Ting-Uei Lee, Y. Xie
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Ruled surfaces with timelike rulings
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdel-All, Nassar H. +2 more
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On the trajectory ruled surfaces of framed base curves in the Euclidean space
Mathematical methods in the applied sciences, 2020In this paper, we study trajectory ruled surface of a curve with singular points in the Euclidean 3‐space as an application of singularity theory of a space curve with singular points.
Ö. G. Yıldız, M. Akyiğit, M. Tosun
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Ruled Surfaces Constructed by Planar Curves In Euclidean 3-Space With Density
Celal Bayar Universitesi Fen Bilimleri Dergisi, 2020In the present study, firstly we recall the parametric expressions of planar curves with zero phi-curvature in Euclidean 3-space with density e^ax_1 and with the aid of the Frenet frame of these planar curves, we ...
Mustafa Altın, A. Kazan, H. Karadag
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Fabricable Discretized Ruled Surfaces
ACM Transactions on GraphicsWe present a method to automatically approximate a given surface with a small set of patches, each being a developable ruled surface featuring long-ruling lines.
Hassan Baharami +4 more
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