Gaps in Convex Disc Packings with an Application to 1-Steiner Minimum Trees

2000 ◽  
Vol 129 (3) ◽  
pp. 217-226 ◽  
Author(s):  
Konrad J. Swanepoel
Keyword(s):  
Convex Disc

scholarly journals On Random Disc Polygons in Smooth Convex Discs

2014 ◽  
Vol 46 (4) ◽  
pp. 899-918 ◽  
Author(s):  
F. Fodor ◽  
P. Kevei ◽  
V. Vígh
Keyword(s):  
Smooth Convex ◽  
Convex Disc ◽  
Asymptotic Formulae ◽  
Planar Convex ◽  
Area And Perimeter ◽  
Spindle Convexity

In this paper we generalize some of the classical results of Rényi and Sulanke (1963), (1964) in the context of spindle convexity. A planar convex disc S is spindle convex if it is the intersection of congruent closed circular discs. The intersection of finitely many congruent closed circular discs is called a disc polygon. We prove asymptotic formulae for the expectation of the number of vertices, missed area, and perimeter difference of uniform random disc polygons contained in a sufficiently smooth spindle convex disc.

Patch test results with mite components on convex disc plasters in atopic dermatitis patients

1990 ◽  
Vol 23 (4) ◽  
pp. 280-280
Author(s):  
H. Nakayama ◽  
A. Kumel ◽  
M. Sakuuai ◽  
M. Takaoka
Keyword(s):  
Atopic Dermatitis ◽  
Patch Test ◽  
Test Results ◽  
Convex Disc

scholarly journals Perimeter Approximation of Convex Discs in the Hyperbolic Plane and on the Sphere

2021 ◽  
Author(s):  
Ferenc Fodor
Keyword(s):  
Hyperbolic Plane ◽  
Euclidean Plane ◽  
Plane Convex ◽  
Convex Disc ◽  
Convex Curves

AbstractEggleston (Approximation to plane convex curves. I. Dowker-type theorems. Proc. Lond. Math. Soc. 7, 351–377 (1957)) proved that in the Euclidean plane the best approximating convex n-gon to a convex disc K is always inscribed in K if we measure the distance by perimeter deviation. We prove that the analogue of Eggleston’s statement holds in the hyperbolic plane, and we give an example showing that it fails on the sphere.

scholarly journals Posterior Spinal Fusion With Multilevel Posterolateral Convex Disc Releases for the Treatment of Severe Thoracolumbar Scoliosis

10.14444/7041 ◽  
2020 ◽  
Vol 14 (3) ◽  
pp. 308-315
Author(s):  
CHRISTOPHER MIKHAIL ◽  
ROBERT BROCHIN ◽  
LILY EAKER ◽  
BARON S. LONNER
Keyword(s):  
Spinal Fusion ◽  
Posterior Spinal Fusion ◽  
Convex Disc

Lower Cambrian anabaritids from south China

1989 ◽  
Vol 126 (6) ◽  
pp. 615-632 ◽  
Author(s):  
S. Conway Morris ◽  
Chen Menge
Keyword(s):  
Lower Cambrian ◽  
Yunnan Province ◽  
Shaanxi Province ◽  
Convex Disc ◽  
Distinctive Group ◽  
Tentative Evidence ◽  
Bilayered Structure ◽  
Shell Composition ◽  
Simple Convex ◽  
Outer Unit

AbstractAnabaritids are a distinctive group of early skeletal fossils, with tri-radially symmetrical tubes. They occur in the earliest Cambrian deposits, and seem to be especially characteristic of the Tommotian strata and putative pre-Tommotian units (e.g. Manykay horizon). A detailed redescription ofAnabarites rotundusQian from near Kuanchuanpu, Shaanxi Province emphasizes the degree of morphological variation. New data on shell composition suggest a bilayered structure, the outer unit composed of fibres parallel to growth lines, overlying a distinctive inner lamella with a chevron ultrastructure. Tentative evidence for anabaritids possibly being operculate is presented, the putative operculum being a simple convex disc. More poorly preserved anabaritids from the Yangtze Gorges (Hubei Province) and Meishucun (Yunnan Province) are referred toA. trisulcatus. All these Chinese occurrences of anabaritids are consistent with a lower Tommotian age of the associated faunas, but reliable and precise correlations with other Precambrian-Cambrian boundary sections remain inconclusive.

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