Results 41 to 50 of about 704,101 (306)
Partial covering of a circle by equal circles. Part II: The case of 5 circles
Journal of Computational Geometry, 2014 How must n equal circles of given radius r be placed so that they cover as great a part of the area of the unit circle as possible? In this Part II of a two-part paper, a conjectured solution of this problem for n = 5 is given for r varying from the ...
Zsolt Gáspár +2 more
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The Third Dimension of the Magdouh Mosaic in Antioch
Journal of Mosaic Research, 2019 This study investigates the complex geometry of the pattern of circles in the Magdouh Mosaic, which dates to between the ffth and sixth centuries, found in Antioch-on-the-Orontes (modern Antakya, Turkey). The mosaic has a complex pattern that is composed
Hakan HİSARLIGİL +1 more
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Minkowski Circle Packings on the Sphere [PDF]
Discrete & Computational Geometry, 1999 A set of balls is said to be a Minkowski set if none of its elements contains in its interior the centre of another. Replacing in a Minkowski set of balls each ball by a concentric ball of half the radius, one obtains a packing of balls which is called a Minkowski packing. The paper under review concerns Minkowski sets and Minkowski packings of circles
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Lattice packings with gap defects are not completely saturated [PDF]
, 2003 We show that a honeycomb circle packing in $\R^2$ with a linear gap defect cannot be completely saturated, no matter how narrow the gap is. The result is motivated by an open problem of G. Fejes T\'oth, G. Kuperberg, and W.
Kuperberg, Greg +2 more
core
Circle, sphere, and drop packings [PDF]
Physical Review E, 1996 We studied the geometrical and topological rules underlying the dispositions and the size distribution of non-overlapping, polydisperse circle-packings. We found that the size distribution of circles that densely cover a plane follows the power law: $N(R) \propto R^{-α}$.
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Mapping the evolution of mitochondrial complex I through structural variation
FEBS Letters, EarlyView.Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
wiley +1 more source
The Various Radii Circle Packing Problem in a Triangle
MathematicsMalfatti’s problem is the problem of fitting three circles into a triangle such that they are tangent to each other and each circle is also tangent to a pair of the triangle’s sides.
Ching-Shoei Chiang, Yi-Ting Chiang
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Power-Efficient Wireless Coverage Using Minimum Number of UAVs
Sensors, 2021 Unmanned aerial vehicles (UAVs) can be deployed as backup aerial base stations due to cellular outage either during or post natural disaster. In this paper, an approach involving multi-UAV three-dimensional (3D) deployment with power-efficient planning ...
Ahmad Sawalmeh +5 more
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Construction of both Geometric Relationships of Ellipses and Parabola-bounded Regions in Geometric Placement Problems [PDF]
Journal of Mechanical Engineering, 2020 Currently, there is a significant growth of interest in the practical problems of mathematically modeling the placement of geometric objects of various physical natures in given areas.
Mykola I. Hil, Volodymyr M. Patsuk
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FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source