Results 1 to 10 of about 28,912 (174)
SYNTHESIS AND ANALYSIS OF A MECHANISM GENERATING THE RATIONAL CIRCULAR CUBIC
Journal of Industrial Design and Engineering Graphics, 2019 Based on the mathematical curve named rational circular cubic [2] and on its animation, it was conceived an original mechanism generating this curve.
Mirela Cherciu, Iulian Popescu
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The Representation of Circular Arc by Using Rational Cubic Timmer Curve
Mathematical Problems in Engineering, 2014 In CAD/CAM systems, rational polynomials, in particular the Bézier or NURBS forms, are useful to approximate the circular arcs. In this paper, a new representation method by means of rational cubic Timmer (RCT) curves is proposed to effectively represent a circular arc.
Muhammad Abbas +3 more
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A Variable-Length Rational Finite Element Based on the Absolute Nodal Coordinate Formulation
Machines, 2022 The variable-length arbitrary Lagrange–Euler absolute nodal coordinate formulation (ALE-ANCF) finite element, which employs nonrational interpolating polynomials, cannot exactly describe rational cubic Bezier curves such as conic and circular curves. The
Zhishen Ding, Bin Ouyang
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Parametric Rational Cubic Approximation Scheme for Circular Arcs
International Journal of Applied and Computational Mathematics, 2023 Abstract The research paper presents a numerical method for the 𝐺2- approximation of circular arcs. The developed technique is worked on a quarter circle and the complete circle is formed using affine transformation. The optimal value of the free parameters is searched for by reducing the approximation error to its minimum.
Ayesha Shakeel +2 more
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Rational Cubics and Conics Representation: A Practical Approach
International Islamic University Malaysia Engineering Journal, 2012 A rational cubic spline, with one family of shape parameters, has been discussed with the view to its application in Computer Graphics. It incorporates both conic sections and parametric cubic curves as special cases.
M. Sarfraz, Z. Habib
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A comment on free-fermion conditions for lattice models in two and more dimensions [PDF]
, 1996 We analyze free-fermion conditions on vertex models. We show --by examining examples of vertex models on square, triangular, and cubic lattices-- how they amount to degeneration conditions for known symmetries of the Boltzmann weights, and propose a ...
Baxter +35 more
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Classification of planar rational cuspidal curves. II. Log del Pezzo models [PDF]
, 2019 Let $E\subseteq \mathbb{P}^2$ be a complex curve homeomorphic to the projective line. The Negativity Conjecture asserts that the Kodaira-Iitaka dimension of $K_X+\frac{1}{2}D$, where $(X,D)\to (\mathbb{P}^{2},E)$ is a minimal log resolution, is negative.
Palka, Karol, Pełka, Tomasz
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Topology of quadrature domains [PDF]
, 2015 We address the problem of topology of quadrature domains, namely we give upper bounds on the connectivity of the domain in terms of the number of nodes and their multiplicities in the quadrature identity.Comment: 37 pages, 11 figures in J. Amer.
Lee, Seung-Yeop, Makarov, Nikolai
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Balanced line bundles and equivariant compactifications of homogeneous spaces [PDF]
, 2013 Manin's conjecture predicts an asymptotic formula for the number of rational points of bounded height on a smooth projective variety in terms of its global geometric invariants.
Hassett, Brendan +2 more
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On the Complexity of Digraph Colourings and Vertex Arboricity
, 2020 It has been shown by Bokal et al. that deciding 2-colourability of digraphs is an NP-complete problem. This result was later on extended by Feder et al. to prove that deciding whether a digraph has a circular $p$-colouring is NP-complete for all rational
Hochstättler, Winfried +2 more
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