Results 221 to 230 of about 398 (251)

Umbilical points on surfaces in ${\bf R}^N$

, 1985
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On Umbilic Points on Newly Born Surfaces

Bulletin of the Brazilian Mathematical Society, 2017
The authors show that newly born surfaces in 3-space have 4 and only 4 umbilic points. Umbilics are points on a surface where the curvature is the same in any direction. That is, locally, the surface is spherical. Here, a newly born surface is characterized as a surface created from a function with Morse singularity of index either 0 or 3.
F Tari, Hasegawa Masaru
exaly   +2 more sources

Wave curves with the presence of an umbilic point and an umbilic line for plane waves in isotropic elastic solids

Wave Motion, 1991
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T C T Ting
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Riemann Problem for Conservation Laws with an Umbilic Point

, 2003
We study the Riemann problems for 2 × 2 conservation laws with a hyperbolic singularity. The flux are a pair of quadratic functions where the char acteristic speeds are equals and the Jacobian matrix is diagonal at the hyperbolic singularity i.e. umbilic point. Discontinuous solutions will be considered.
Fumioki Asakura, Mitsuru Yamazaki
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Boundary-driven phase transitions in open driven systems with an umbilic point

European Physical Journal: Special Topics, 2013
Different phases in open driven systems are governed by either shocks or rarefaction waves. A presence of an isolated umbilic point in bidirectional systems of interacting particles stabilizes an unusual large scale excitation, an umbilic shock (U-shock).
Vladislav Popkov, Popkov, V.
exaly   +2 more sources

Umbilic point screening in random optical fields

Optics Letters, 2007
Umbilic points--singular points of curvature characterized by a fractional topological charge q=+/-1/2--are the most numerous of all special points in the landscape of random optical fields (speckle patterns), outnumbering maxima, minima, saddle points, and optical vortices.
Isaac, Freund, Roman I, Egorov, Marat S, Soskin   +2 more
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Lines of curvature and umbilical points for implicit surfaces

Computer Aided Geometric Design, 2007
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Che, Wu-Jun, Paul, Jean-Claude, Zhang, Wiao-Peng   +2 more
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Umbilic points on Gaussian random surfaces

Journal of Physics A: Mathematical and General, 1977
An umbilic point U on a surface Sigma is a place where the two principal curvatures of Sigma are equal. U is a singularity of Sigma in three different senses: (i) it is the source of elliptic (E) or hyperbolic (H) umbilic catastrophes in the envelope of normals ('focal surface') of Sigma ; (ii) it has index +or-1/2 depending on whether the principal ...
Berry, M. V., Hannay, J. H.
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An Isolated Umbilical Point of the Graph of a Homogeneous Polynomial

Geometriae Dedicata, 2000
Consider a homogeneous polynomial \(f\) in two real variables \(x,y\) of degree \(k\geq 3\) whose graph \((x,y,f(x,y))\) in \(\mathbb{R}^3\) has the origin \(o\) as an isolated umbilic point. It is proved, that the index \(l\) of \(o\) belongs to the set \(\{1,0, \dots, 1-k/2\}\) if \(k\) is even or \(\{1/2,-1/2, \dots, 1-k/2\}\) if \(k\) is odd ...
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Umbilical venous catheter extravasation diagnosed by point-of-care ultrasound

Archives of Disease in Childhood - Fetal and Neonatal Edition, 2020
A 24-week gestational age neonate with severe respiratory distress syndrome was managed with high-frequency oscillatory ventilation and inotropes. Umbilical artery catheter and umbilical venous catheter (UVC) were inserted on day 1. UVC aspirated blood freely at the time of insertion and followed a straight course on abdominal X-ray (AXR).
Gauthamen Rajendran, Ajay Kumar Sinha
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