Results 1 to 10 of about 196 (191)
Bisectors and Pinned Distances [PDF]
Discrete and Computational Geometry, 2019 We prove, under suitable conditions, a lower bound on the number of pinned distances determined by small subsets of two-dimensional vector spaces over fields. For finite subsets of the Euclidean plane we prove an upper bound for their bisector energy.
Benjamin Lund, Giorgis Petridis
exaly +3 more sources
On the Area Bisectors of a Polygon [PDF]
Discrete and Computational Geometry, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karl-Friedrich Böhringer +2 more
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On Bisectors in Quaternionic Hyperbolic Space
Bulletin of the Brazilian Mathematical Society, 2023 In this paper, we study a problem related to geometry of bisectors in quaternionic hyperbolic geometry. We develop some of the basic theory of bisectors in quaternionic hyperbolic space $H^n_Q$. In particular, we show that quaternionic bisectors enjoy various decompositions by totally geodesic submanifolds of $H^n_Q$.
Nikolay Gusevskii
exaly +3 more sources
Tropical Bisectors and Voronoi Diagrams [PDF]
Foundations of Computational Mathematics, 2021 AbstractIn this paper we initiate the study of tropical Voronoi diagrams. We start out with investigating bisectors of finitely many points with respect to arbitrary polyhedral norms. For this more general scenario we show that bisectors of three points are homeomorphic to a non-empty open subset of Euclidean space, provided that certain degenerate ...
Criado, Francisco +2 more
openaire +6 more sources
The existence of a triangle when its three elements are known
Lietuvos Matematikos Rinkinys, 2022 The problem of the existence of a triangle with respect to three given elements in some cases can be very difficult. For example, Brokard's problem about the existence of a triangle, given its three bisectors [1], has a long history [3] and solved only ...
Edmundas Mazėtis +1 more
doaj +1 more source
Precise Radial Velocities Using Line Bisectors
The Astronomical Journal, 2023 We study the properties of line bisectors in the spectrum of the Sun-as-a-star, as observed using the Integrated Sunlight Spectrometer (ISS) of the SOLIS project.
Drake Deming, Joe Llama, Guangwei Fu
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Possibilities of velocity field analysis from Hinode SOT/SP data
Open Astronomy, 2022 The possibility of analyzing the line of sight (LOS) velocity and its gradient at each point of the Hinode SOT/SP maps using bisector analysis is revealed. A technique for obtaining such gradient is described.
Mozharovsky Sergei G.
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Enhancing SEM signature via bistatic radar configuration of small bisectors
IET Radar, Sonar & Navigation, 2022 The paper assesses the feasibility of finding bistatic directions of minimum bisectors subject to resonant frequency and polarisation diversities to improve the robustness of the resonance signature when extracted from the late time radar response.
Faisal Aldhubaib
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Gob’s Circles of a Triangle in the Isotropic Plane
Journal of Mathematics, 2021 In this paper, we consider Gob’s circles of an allowable triangle in the isotropic plane and derive their equations in the case of a standard triangle. We prove that the potential axes of the circumscribed circle and Gob’s circles are the angle bisectors
Ružica Kolar-Šuper
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Ural Mathematical Journal, 2022 A class of time-optimal control problems in three-dimensional space with a spherical velocity vector is considered. A smooth regular curve \(\Gamma\) is chosen as the target set. We distinguish pseudo-vertices that are characteristic points on \(\Gamma\)
Pavel D. Lebedev, Alexander A. Uspenskii
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