Results 21 to 30 of about 1,183,554 (295)

Detecting Cocircular Subsets of a Spherical Set of Points

Journal of Imaging, 2022
Given a spherical set of points, we consider the detection of cocircular subsets of the data. We distinguish great circles from small circles, and develop algorithms for detecting cocircularities of both types.
Basel Ibrahim, Nahum Kiryati
doaj   +1 more source

Spherical Geometry [PDF]

Proceedings of the Edinburgh Mathematical Society, 1883
The object of this paper is to bring together the principal properties of figures described on the surface of the sphere that can be established without the use of Solid Geometry or of Trigonometry. The following properties of the spherical surface, which correspond to the definitions and axioms in Plane Geometry, are assumed. They may be considered
openaire   +1 more source

Reaction–Diffusion on the Sphere with a Nonlinear Source Term: Symmetry Analysis, Group Classification, and Similarity Solutions

Mathematics
We consider the nonlinear reaction–diffusion equation on the unit sphere ut=ΔS2u+f(u), fuu≠0, and carry out a complete Lie point symmetry analysis. Solving the associated determining system yields a rigidity theorem: for every genuinely nonlinear f(u ...
Khalid Ali Alanezy
doaj   +1 more source

Cylindrical and spherical modified Gardner solitons in five component dusty plasmas

AIP Advances, 2023
The propagation of nonplanar (cylindrical or spherical) Gardner solitons (GSs) in a plasma system containing nonthermally distributed heavy ions, light ions, q nonextensive distributed electrons, and arbitrarily charged dusts is studied theoretically and
N. Y. Tanisha, M. Ferdousi, K. Hossain
doaj   +1 more source

Statistical Models on Spherical Geometries [PDF]

Physical Review Letters, 1995
We use a one-dimensional random walk on $D$-dimensional hyper-spheres to determine the critical behavior of statistical systems in hyper-spherical geometries. First, we demonstrate the properties of such a walk by studying the phase diagram of a percolation problem.
Boettcher, S., Moshe, M.
openaire   +3 more sources

Discrete Quantization on Spherical Geometries: Explicit Models, Computations, and Didactic Exposition

Mathematics
This article presents a comprehensive and analytically explicit study of optimal discrete quantization on spherical geometries equipped with the geodesic metric.
Mrinal Kanti Roychowdhury
doaj   +1 more source

A Demonstration of Underwater Bubble Capture by the Fundamental Acoustic Mode in Spherical Geometry

Walailak Journal of Science and Technology, 2011
Nowadays, scientific demonstrations have become a crucial part of scientific learning. Acoustic waves are normally demonstrated in air via Kundt’s tube, but a physical demonstration for underwater acoustic waves is still lacking.
Umaporn KONTHARAK, Sorasak DANWORAPHONG
doaj   +1 more source

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

FEBS Letters, EarlyView.
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure, Misaki K. Nishio, Satoru Okuda, Kohji Hotta   +3 more
wiley   +1 more source

On the Number of Spherical Circles Needed to Cover a Spherical Convex Domain

Mathematics
In this manuscript, we study the coverage of convex spherical domains by spherical circles. This question can be applied to the location of satellites, weather balloons, radio towers, etc.
Elad Atia, Reuven Cohen, Shai Gul
doaj   +1 more source

Inertial modes in near-spherical geometries [PDF]

Geophysical Journal International, 2018
We propose a numerical method to compute the inertial modes of a container with near-spherical geometry based on the fully spectral discretisation of the angular and radial directions using spherical harmonics and Gegenbauer polynomial expansion respectively.
Rekier, J, Trinh, A, Triana, S A, Dehant, V   +3 more
openaire   +2 more sources