Results 11 to 20 of about 1,012,550 (289)
A Regular Quaternion Polygon [PDF]
Repeated application of the unitary reflectionsto the point (1,0) and line x + iy = 1 yields 24 points and 24 lines. These are the vertices and edges of the regular complex polygon 4 {3} 4 whose group has the abstract definition R4 = I, RSR = SRS [l]. The purpose of this note is to introduce the notion of regular quaternion polygon and give an example ...
Donald W. Crowe
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This paper describes a new robust regular polygon detector. The regular polygon transform is posed as a mixture of regular polygons in a five dimensional space. Given the edge structure of an image, we derive the a posteriori probability for a mixture of regular polygons, and thus the probability density function for the appearance of a mixture of ...
Nick Barnes +3 more
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Multi-point inerter array and rotation invariance of regular polygon inerter array
Inerter is a pure inertia two-terminal dynamic element. Physical implementations of inerters have made progress in control engineering, mechanical engineering, energy engineering and civil engineering. In this research, an interesting physical phenomenon,
Yuehao Li +6 more
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The Interplay of Curvature, Geometry, and Topology Shapes Tissue Organisation in Epithelial Shells. [PDF]
Purely geometric 3D Voronoi models predict the organisation of epithelial shells. The interplay of curvature, geometry, and topology enriches the number of pentagons in shells with lower number of cells. Small MDCK cysts and Mouse embryos match the top polygonal configurations in a compactness‐based ranking derived from the Voronoi model. In conclusion,
Morato L +9 more
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In this paper we study various versions of extension complexity for polygons through the study of factorization ranks of their slack matrices. In particular, we develop a new asymptotic lower bound for their nonnegative rank, shortening the gap between the current bounds, we introduce a new upper bound for their boolean rank, deriving from it some new ...
António Pedro Goucha +2 more
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A PROBLEM IN REGULAR POLYGONS [PDF]
n ...
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On Sloshing Modes in Equilateral-Polygonal-Section Containers
Vertical sloshing is the liquid surface motion in a container forced to oscillate in the vertical direction. The present paper concerns the vertical sloshing in various equilateral-polygonal-section containers such as octagonal-, heptagonal-, hexagonal-,
Katsuya HIRATA +4 more
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Free vibration frequencies of prismatic thin shells [PDF]
The paper examines the natural frequencies of prismatic thin shells, the cross-section of which is the regular polygon. Spectra of free vibration frequencies of such shells are analyzed as the number of cross-section sides increases, provided that the ...
Dzebisashvili, Georgii Tamazovich +2 more
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Buckling of Tapered Columns with Polygon Cross-Section [PDF]
This paper is concerned with the elastic stability of slender tapered columns of regular polygon cross-section with constant volume is presented. Various end conditions of the tapered columns such as pinned ends, clamped -pinned ends and clamped ends are
Magdy Salama
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The effects of climate change caused by global warming can be seen in changes of climate variables such as precipitation, humidity, and temperatures.
Gokmen Ceribasi, Ahmet Iyad Ceyhunlu
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