Results 11 to 20 of about 1,012,550 (289)

A Regular Quaternion Polygon [PDF]

open access: yesCanadian Mathematical Bulletin, 1959
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
openaire   +3 more sources

Regular polygon detection

open access: yesTenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1, 2005
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
core   +4 more sources

Multi-point inerter array and rotation invariance of regular polygon inerter array

open access: yesResults in Engineering
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
doaj   +2 more sources

The Interplay of Curvature, Geometry, and Topology Shapes Tissue Organisation in Epithelial Shells. [PDF]

open access: yesAdv Sci (Weinh)
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
europepmc   +2 more sources

On Ranks of Regular Polygons

open access: yesSIAM Journal on Discrete Mathematics, 2017
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
openaire   +3 more sources

A PROBLEM IN REGULAR POLYGONS [PDF]

open access: yesSchool Science and Mathematics, 1918
n ...
openaire   +2 more sources

On Sloshing Modes in Equilateral-Polygonal-Section Containers

open access: yesJournal of Fluid Science and Technology, 2010
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
doaj   +1 more source

Free vibration frequencies of prismatic thin shells [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика
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
doaj   +1 more source

Buckling of Tapered Columns with Polygon Cross-Section [PDF]

open access: yesComputational Engineering and Physical Modeling, 2018
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
doaj   +1 more source

Analysis of total monthly precipitation of Susurluk Basin in Turkey using innovative polygon trend analysis method

open access: yesJournal of Water and Climate Change, 2021
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
doaj   +1 more source

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