Results 1 to 10 of about 81,975 (261)
The behavior of the principal distributions around an isolated umbilical point
Journal of the Mathematical Society of Japan, 2001 Let \(G_f\) be the graph of a homogeneous polynomial \(f\) in two variables of degree \(k\geq 3\) such that the origin \(o\) of \(R^3\) is an isolated umbilical point. If \(\Theta_0\) is a real number at which \({df\over d\Theta} (\cos\Theta,\sin\Theta)\) vanishes, the straight line \(L(\Theta_0): =\{(x,y)\in R^2\); \(x\sin\Theta_0 -y\cos\Theta_0 =0\}\)
Naoya Ando
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An umbilical point on a non-real-analytic surface
Hiroshima Mathematical Journal, 2003 The index of an isolated umbilical point on a surface in three-dimensional Euclidean space is studied. The main attention is paid to the following index conjecture: the index of an isolated umbilical point is not more than one. This conjecture is motivated by studying constant mean curvature surfaces whose isolated umbilical points are always of ...
Naoya Ando
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On the multiplicity of umbilic points
Pacific Journal of Mathematics, 2022 We introduce an invariant of umbilic points on surfaces in the Euclidean or Minkowski 3-space that counts the maximum number of stable umbilic points they can split up under deformations of the surfaces. We call that number the multiplicity of the umbilic point and establish its properties.
do Couto Fernandes, Marco Antônio +1 more
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Correlations between the Status of the Umbilical Cord and Neonatal Health Status [PDF]
Child Health Nursing Research, 2020 Purpose This study aimed to identify correlations between the status of the umbilical cord and neonatal health status. Methods In total, 172 newborns were enrolled who were admitted to the newborn nursery with a gestational age of 35 weeks or older and a
Sun Min Lee +5 more
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Animals, 2021 The umbilicus is a potential access-point for pathogens in equine foal, causing umbilical infections and potentially life-threating illness. Early diagnosis based on ultrasonographic appearance and measurement is crucial to avoid severe complications and
Valentina Vitale +6 more
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On isolated umbilic points [PDF]
Communications in Analysis and Geometry, 2020 Counter-examples to the famous conjecture of Caratheodory, as well as the bound on umbilic index proposed by Hamburger, are constructed with respect to Riemannian metrics that are arbitrarily close to the flat metric on Euclidean 3-space. In particular, Riemannian metrics with a smooth strictly convex 2-sphere containing a single umbilic point are ...
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A metric property of umbilic points [PDF]
Anais da Academia Brasileira de Ciências, 2003 In the space of cubic forms of surfaces, regarded as a G-space and endowed with a natural invariant metric, the ratio of umbilic points with a negative index to those with a positive index is evaluated in terms of the asymmetry of the metric, defined here.
Garcia, Ronaldo, Sotomayor, Jorge
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Umbilical coiling index and its association with perinatal mortality and morbidity in a low resource tertiary care hospital of northern Karnataka - a prospective observational study [PDF]
New Indian Journal of OBGYN, 2020 Objectives: The aim of the study is to determine the association between the length of the umbilical cord and the coiling index with the perinatal outcome.
Aruna Biradar +3 more
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Ventriculoperitoneal shunt presenting as umbilical CSF fistula
Journal of Family Medicine and Primary Care, 2020 An umbilical cerebrospinal fluid (CSF) fistula following a ventriculoperitoneal (VP) shunt is an extremely rare complication. The shunt can get blocked and infected and present as purulent umbilical discharge.
Meenakshi Yeola (Pate), Kushagra Singh
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Bifurcations of Umbilic Points and Related Principal Cycles [PDF]
Journal of Dynamics and Differential Equations, 2004 The simplest patterns of qualitative changes on the configurations of lines of principal curvature} around umbilic points on surfaces whose immersions into $\mathbb R^3$ depend smoothly on a real parameter (codimension one umbilic bifurcations) are described in this paper. Global effects, due to umbilic bifurcations, on these configurations such as the
Gutiérrez, Carlos +2 more
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