Results 31 to 40 of about 1,212,069 (375)
Vortex patches choreography for active scalar equations [PDF]
, 2020 This paper deals with the existence of $N$ vortex patches located at the vertex of a regular polygon with $N$ sides that rotate around the center of the polygon at a constant angular velocity.
García, C.
core +2 more sources
Regularizing transformations of polygons
Journal of Geometry, 2017 We start with a generic n-gon \(Q_0\) with vertices \(q_{j,0}\) (\(j = 0, \dots , n-1\)) in the d-dimensional Euclidean space \({\mathbb {E}}^d\). Additionally, \(m+1\) real numbers \(u_0, \ldots , u_m \in {\mathbb {R}} \, (m < n)\) with \(\sum _{\mu = 0}^m u_\mu = 1\) are given. From these initial data we iteratively define generations of n-gons \(Q_k\
Johann Lang, Sybille Mick, Otto Röschel
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On monohedral tilings of a regular polygon
Aequationes mathematicae, 2023 AbstractA tiling of a topological disc by topological discs is called monohedral if all tiles are congruent. Maltby (J Comb Theory Ser A 66:40–52, 1994) characterized the monohedral tilings of a square by three topological discs. Kurusa et al. (Mediterr J Math 17:156, 2020) characterized the monohedral tilings of a circular disc by three topological ...
Basit, Bushra, Lángi, Zsolt
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On Sloshing Modes in Equilateral-Polygonal-Section Containers
Journal 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
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Calculations of Dihedral Groups Using Circular Indexation [PDF]
Mathematics 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
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Journal 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
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SIAM 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 ...
Pedro M. Silva +2 more
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Free vibration frequencies of prismatic thin shells [PDF]
Известия Саратовского университета. Новая серия. Серия Математика. Механика. ИнформатикаThe 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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Regular Polygon Formations With Fixed Size and Cyclic Sensing Constraint
IEEE Transactions on Automatic Control, 2019 We propose a distributed control strategy for a team of agents to autonomously achieve a regular polygon formation with a desired size. Our strategy does not require global position measurements, common sense of orientation, or communication capability ...
Kaveh Fathian +3 more
semanticscholar +1 more source
On the stability of the homographic polygon configuration in the many-body problem
Atti 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
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