Results 11 to 20 of about 4,935 (245)
Covering rational ruled surfaces [PDF]
Mathematics of Computation, 2017 We present an algorithm that covers any given rational ruled surface with two rational parametrizations. In addition, we present an algorithm that transforms any rational surface parametrization into a new rational surface parametrization without affine base points and such that the degree of the corresponding maps is preserved.
Sendra Pons, Juan Rafael +2 more
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Affine equivalences, isometries and symmetries of ruled rational surfaces [PDF]
Journal of Computational and Applied Mathematics, 2020 A method is presented for computing all the affine equivalences between two rational ruled surfaces defined by rational parametrizations that works directly in parametric rational form, i.e. without computing or making use of the implicit equation of the surface.
Alcázar Arribas, Juan Gerardo +1 more
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General position of points on a rational ruled surface [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2017 There are several different definitions for the notion of points in general position in \(\mathbb{P}^2\), some of which, due to the authors, are finalized to very ampleness criteria for rank 2 vector bundles [\textit{A. Alzati} and \textit{A. Tortora}, Rev. Mat. Complut. 28, No. 3, 623--654 (2015; Zbl 1330.14070)].
A. ALZATI, A. Tortora
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Implicitization of rational ruled surfaces with
Journal of Symbolic Computation, 2009 Chen, Sederberg, and Zheng introduced the notion of a $μ$-basis for a rational ruled surface in Chen et al. (2001) and showed that its resultant is the implicit equation of the surface, if the parametrization is generically injective. We generalize this result to the case of an arbitrary parametrization.
Dohm, Marc, Marc Dohm
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The Gaussian map for rational ruled surfaces [PDF]
Transactions of the American Mathematical Society, 1992 In this paper the Gaussian map Φ :
Duflot, Jeanne, Miranda, Rick
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Algebro-geometric approach for a centrally extended Uq[sl(2|2)] R-matrix
Nuclear Physics B, 2017 In this paper we investigate the algebraic geometric nature of a solution of the Yang–Baxter equation based on the quantum deformation of the centrally extended sl(2|2) superalgebra proposed by Beisert and Koroteev [1].
M.J. Martins
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Coverings of Rational Ruled Normal Surfaces [PDF]
, 2018 In this work we use arithmetic, geometric, and combinatorial techniques to compute the cohomology of Weil divisors of a special class of normal surfaces, the so-called rational ruled toric surfaces. These computations are used to study the topology of cyclic coverings of such surfaces ramified along Q-normal crossing divisors.
Bartolo, Enrique Artal +2 more
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Tool path optimization of globoidal cam flank milling based on spatial linear-regression analysis
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2019 In order to tackle the incongruous error of the normal vector of globoidal cam in non-equal diameter machining, the tool axis vector with minimum machining error is preliminarily fitted through the principle of ruled surface generation by using spatial ...
Panlong WU, Dongfang HU
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DESIGNING OF DEVELOPED SURFACES OF COMPLEX PARTS
Nauka ta progres transportu, 2017 Purpose. The paper focuses on ensuring the rational choice of parameters of the mating surfaces of parts when designing process equipment based on the methods of artificial intelligence. Methodology.
S. S. Tyshchenko +3 more
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Counting rational points on the Cayley ruled cubic [PDF]
, 2016 © 2015, Springer International Publishing AG. We count rational points of bounded height on the Cayley ruled cubic surface and interpret the result in the context of general conjectures due to Batyrev and ...
Browning, Tim D +12 more
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