Packing 13 circles in an equilateral triangle
Sign Up to like & getrecommendations! Published in 2020 at "Aequationes mathematicae"
DOI: 10.1007/s00010-020-00753-y
Abstract: The maximum separation problem is to find the maximum of the minimum pairwise distance of n points in a planar body $${\mathcal {B}}$$ B on the Euclidean plane. In this paper this problem will be… read more here.
Keywords: triangle; equilateral triangle; circles equilateral; packing circles ... See more keywords
3-bar tensegrity units with non-equilateral triangle on an end plane
Sign Up to like & getrecommendations! Published in 2018 at "Mechanics Research Communications"
DOI: 10.1016/j.mechrescom.2018.08.003
Abstract: Abstract The well-known 3-bar prismatic tensegrity unit has equilateral triangles on the two end planes. In this paper, properties of the 3-bar tensegrity unit with non-equilateral triangle on one end plane are investigated. The unit… read more here.
Keywords: end plane; tensegrity; non equilateral; bar tensegrity ... See more keywords
Starlikeness and convexity of Cauchy transform on equilateral triangle
Sign Up to like & getrecommendations! Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2019.1671832
Abstract: ABSTRACT Let Δ be an equilateral triangle, we define the Cauchy transform of the normalized two-dimensional Lebesgue measure μ on Δ by . We prove that F is univalent and starlike, but not convex in… read more here.
Keywords: convexity cauchy; cauchy transform; transform equilateral; starlikeness convexity ... See more keywords
Regular-hexagon-equilateral-triangle area grouping–based broadcast protocol for safety message in urban vehicular ad hoc networks
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Distributed Sensor Networks"
DOI: 10.1177/1550147716683829
Abstract: Road-based directional broadcast protocols are proposed in the literatures to offset efficiency of message dissemination of traditional broadcast protocol in urban vehicular ad hoc networks. However, these protocols cannot provide enough reliability and efficiency for… read more here.
Keywords: message; hexagon equilateral; regular hexagon; protocol ... See more keywords