Results 11 to 20 of about 71,660 (280)

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   +2 more sources

Calculations of Dihedral Groups Using Circular Indexation [PDF]

open access: yesMathematics Interdisciplinary Research, 2019
‎In this work‎, ‎a regular polygon with n sides is described by a periodic (circular) sequence with period n. ‎Each element of the sequence represents a vertex of the polygon‎.
Reza Dianat, Mojgan Mogharrab
doaj   +1 more source

On the stability of the homographic polygon configuration in the many-body problem

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2004
In this paper the stability of a new class of exact symmetrical solutions in the Newtonian gravitational (n + 1) -body problem is studied. This class of solution follows from a suitable geometric distribution of the (n+1) -bodies, and initial ...
Prokopenya, AN, Cattani, C
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

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 ...
openaire   +2 more sources

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

A note on affinely regular polygons [PDF]

open access: yesEuropean Journal of Combinatorics, 2009
The affinely regular polygons in certain planar sets are characterized. It is also shown that the obtained results apply to cyclotomic model sets and, additionally, have consequences in the discrete tomography of these sets.
openaire   +2 more sources

Questions about the non-constructable polygon of Leon Battista Alberti

open access: yesEGA, 2018
The process followed by Alberti when designing the façade of the Santa Maria Novella in Florence is well-known. This façade contains 48 ornamental elements which were created through the construction of regular polygons: 7 elements have a pentagonal base,
Albert Samper Sosa
doaj   +1 more source

Mechanism and control of parallel link actuator using multiple air jets (Experimental case study with 3 air jets nozzles and 3 spheres)

open access: yesNihon Kikai Gakkai ronbunshu, 2021
We propose the mechanism and control method of the air jet based parallel link actuator with 6 degrees of freedom. The rotor of the actuator is called a platform which is constructed by connecting multiple spheres that are located in vertex of a regular ...
Keiyu IWAYA   +6 more
doaj   +1 more source

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