Results 31 to 40 of about 426,018 (280)
On undulation invariants of plane curves
Michigan Mathematical Journal, 2015 One of the general problems in algebraic geometry is to determine algorithmically whether or not a given geometric object, defined by explicit polynomial equations (e.g. a curve or a surface), satisfies a given property (e.g. has singularities or other distinctive features of interest). A classical example of such a problem, described by A.Cayley and G.
Popolitov, A., Shakirov, Shamil
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On the Hasse–Witt Invariants of Modular Curves [PDF]
Experimental Mathematics, 1997 We briefly discuss the relationship between several characterizations of the Hasse–Witt invariant of curves in characteristic p with the goal of computing its value in concrete instances. We study its asymptotic behaviour when dealing with the geometric fibres of curves of genus ≥ 2 defined over the rationals.
Bayer, Pilar, González, Josep
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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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An ultradiscrete integrable map arising from a pair of tropical elliptic pencils
, 2010 We present a tropical geometric description of a piecewise linear map whose invariant curve is a concave polygon. In contrast to convex polygons, a concave one is not directly related to tropical geometry; nevertheless the description is given in terms ...
Atsushi Nobe +18 more
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, 1999 We take the fundamental group of the complement of the branch curve of a generic projection induced from canonical embedding of a surface. This group is stable on connected components of moduli spaces of surfaces. Since for many classes of surfaces it is
Teicher, Mina
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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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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Families of children with cancer experience significant financial strain, even with universal healthcare. Indirect costs, such as productivity losses and non‐medical expenses, are rarely included in economic evaluations, and little is known about how effectively financial aid programmes alleviate this burden. Childhood brain tumours
Megumi Lim +8 more
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Naishul's Theorem for fibred holomorphic maps [PDF]
, 2009 We show that the fibred rotation number associated to an indifferent invariant curve for a fibred holomorphic map is a topological ...
Ponce, Mario
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Reparameterization Invariant Metric on the Space of Curves [PDF]
, 2015 This paper focuses on the study of open curves in a manifold M, and proposes a reparameterization invariant metric on the space of such paths. We use the square root velocity function (SRVF) introduced by Srivastava et al. in [11] to define a reparameterization invariant metric on the space of immersions M' = Imm([0,1], M) by pullback of a metric on ...
Brigant, Alice Le +2 more
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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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