On motion of robot end-effector using the curvature theory of timelike ruled surfaces with timelike rulings.
Ekici, Cumali, Ünlütürk, Yasin, Dede, Mustafa, Ryuh, B.S. (2008)
Mathematical Problems in Engineering
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Ekici, Cumali, Ünlütürk, Yasin, Dede, Mustafa, Ryuh, B.S. (2008)
Mathematical Problems in Engineering
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Vladimír Fiřt (1974)
Aplikace matematiky
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Georgi Ganchev, Velichka Milousheva (2010)
Open Mathematics
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In the tangent plane at any point of a surface in the four-dimensional Euclidean space we consider an invariant linear map ofWeingarten-type and find a geometrically determined moving frame field. Writing derivative formulas of Frenet-type for this frame field, we obtain eight invariant functions. We prove a fundamental theorem of Bonnet-type, stating that these eight invariants under some natural conditions determine the surface up to a motion. We show that the basic geometric classes...
Kalikakis, Dimitrios E. (2002)
Abstract and Applied Analysis
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Roussos, Ioannis M. (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Dae Yoon (2010)
Open Mathematics
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In this paper, we classify polynomial translation surfaces in Euclidean 3-space satisfying the Jacobi condition with respect to the Gaussian curvature, the mean curvature and the second Gaussian curvature.
Kalikakis, Dimitrios E. (2002)
Abstract and Applied Analysis
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Benz, Walter (2000)
Beiträge zur Algebra und Geometrie
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