Results 1 to 10 of about 7,037 (209)
Formation of a 3D Particle Array Actuated by Ultrasonic Traveling Waves in a Regular Polygon Resonator [PDF]
Micromachines, 2022 Acoustic radiation forces have been extensively studied regarding static particles, cell patterning, and dynamic transportation. Compared with standing wave manipulation, traveling wave manipulation can be more easily modulated in real time and has no ...
Fei Wan +7 more
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An inequality for regular near polygons [PDF]
European Journal of Combinatorics, 2003 Let $G$ denote a near-polygon distance-regular graph with diameter $d\geq 3$, valency $k$ and intersection numbers $a_1>0$, $c_2>1$. Let $ _1$ denote the second largest eigenvalue for the adjacency matrix of $G$. We show $ _1$ is at most $(k-a_1-c_2)/(c_2-1)$. We show the following are equivalent: (i) Equality is attained above; (ii) $G$ is $Q$-
Paul Terwilliger, Chih-wen Weng
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Buckling loads of columns of regular polygon cross-section with constant volume and clamped ends
Electronic Journal of Structural Engineering, 2002 A numerical method is developed for calculating the buckling loads of tapered columns of regular polygon cross-section with constant volume and both clamped ends. The linear, parabolic and sinusoidal tapers are considered in numerical examples. From the
Byoung Koo Lee, Sang Jin Oh, Guangfan Li
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Regular ternary polygonal forms [PDF]
The Ramanujan Journal, 2020 Inspired by Dickson's classification of regular ternary quadratic forms, we prove that there are no primitive regular $m$-gonal forms when $m$ is sufficiently large. In order to do so, we construct sequences of primes that are inert in a certain quadratic field and show that they satisfy a certain inequality bounding the next prime by the product of ...
Zilong He, Ben Kane
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Circle packing in regular polygons
Physics of Fluids, 2022 We study the packing of a large number of congruent and non-overlapping circles inside a regular polygon. We have devised efficient algorithms that allow one to generate configurations of N densely packed circles inside a regular polygon, and we have carried out intensive numerical experiments spanning several polygons (the largest number of sides ...
Paolo Amore
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CQD Revista Eletrônica Paulista de MatemáticaEstimating the apothem of regular polygons may be required in academical and real-life situations such as for calculating the area of regular polygons and the volume of prisms and pyramids.
Sergio Roberto Peres Line +1 more
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On Dirichlet eigenvalues of regular polygons
Journal of Mathematical Analysis and Applications15 ...
David Berghaus +3 more
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Constructive geometric generating of concave pyramids of fourth sort [PDF]
FME Transactions, 2021 The paper presents the results of the study of the new set of polihedra, the Concave pyramids of the fourth sort, the construction procedures for generating them and their possible application.
Mišić Slobodan Ž. +1 more
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Polygons of quantized vortices in nonlinear photonic waveguides [PDF]
EPJ Web of Conferences, 2023 In a nonlinear optical waveguide with defocusing Kerr-type nonlinearity, we discuss the existence of a type of stationary nonlinear waves with propagation-invariant density profiles, consisting of vortices located at the vertices of a regular polygon ...
Michinel Humberto +2 more
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Parametric methods for constructing the Islamic ornament [PDF]
E3S Web of Conferences, 2021 The article discusses the method of algorithmic construction of Islamic ornaments, which can be used as a decorative element in architectural design. Two necessary stages are highlighted in the generation of an ornamental motif by means of algorithmic ...
Nadyrshine Neil +4 more
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