Results 21 to 30 of about 46,005 (268)
Learning Differential Invariants of Planar Curves
, 2023 SSVM 2023.
Velich, Roy, Kimmel, Ron
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Computing knots by quadratic and cubic polynomial curves
Computational Visual Media, 2020 A new method is presented to determine parameter values (knot) for data points for curve and surface generation. With four adjacent data points, a quadratic polynomial curve can be determined uniquely if the four points form a convex polygon.
Fan Zhang +3 more
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ESAIM: Proceedings and Surveys, 2014 The rigorous proofs are given: (1) for the existence of the unbounded invariant curves, containing the fixed point – source (μ + 1; 1), of the maps from the one-parameter family Fμ(x,y) = (xy, (x − μ)2), μ ∈ [
Belmesova S.S. +2 more
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Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems
Mathematics, 2022 In this study, we focus on invariant algebraic curves of generalized Liénard polynomial differential systems x′=y, y′=−fm(x)y−gn(x), where the degrees of the polynomials f and g are m and n, respectively, and we correct some results previously stated.
Jaume Giné, Jaume Llibre
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Numerically Invariant Signature Curves
International Journal of Computer Vision, 2000 Corrected versions of the numerically invariant expressions for the affine and Euclidean signature of a planar curve proposed by E.Calabi et. al are presented. The new formulas are valid for fine but otherwise arbitrary partitions of the curve. We also give numerically invariant expressions for the four differential invariants parametrizing the three ...
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Twisted curve geometry underlying topological invariants
Physics Letters A, 2023 Topological invariants such as winding numbers and linking numbers appear as charges of topological solitons in diverse nonlinear physical systems described by a unit vector field defined on two and three dimensional manifolds. While the Gauss-Bonnet theorem shows that the Euler characteristic (a topological invariant) can be written as the integral of
Radha Balakrishnan +2 more
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Invariant curves from symmetry [PDF]
Mathematica Bohemica, 1993 A very nice result is proved in this short paper. Suppose \(m \geq 2\) and \(F:\mathbb{R}^ m \to \mathbb{R}^ m\) is a continuous map. If there are two points in \(\mathbb{R}^ m\) such that one of them is moved closer to the origin by \(F\) while the other is moved farther away and if the map \(F\) is equivariant under the action of a compact subgroup ...
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Curve counting invariants for crepant resolutions [PDF]
Transactions of the American Mathematical Society, 2015 We construct curve counting invariants for a Calabi-Yau threefold Y Y equipped with a dominant birational morphism π : Y → X \pi :Y \to X . Our invariants generalize the stable pair invariants of Pandharipande and Thomas which occur for the case when π ...
Bryan, Jim, Steinberg, David
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FEBS Letters, EarlyView.Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi +5 more
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4-dimensional pseudo-Galilean geometry
Cumhuriyet Science Journal, 2021 According to F. Klein, Geometry is the study of invariant properties of figures, i.e., properties unchanged under all motions. In this article, we introduce 4-dimensional pseudo-Galilean transformations.
Salim Yüce, Mücahit Akbıyık
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