Results 11 to 20 of about 66,487 (261)

Development of methods of analytical geometry of a sphere for solving geodesy and navigation tasks

Записки Горного института, 2017
The article develops ideas and formulas of analytical geometry for spherical surface of the Earth globe in relation to main tasks of global geodesy and navigation.
G. I. Khudyakov
doaj   +1 more source

Stokes Equation in a Semi-Infinite Region: Generalization of the Lamb Solution and Applications to Marangoni Flows

Fluids, 2020
We consider the creeping flow of a Newtonian fluid in a hemispherical region. In a domain with spherical or nearly spherical geometry, the solution of the Stokes equation can be expressed as a series of spherical harmonics.
Goce Koleski, Thomas Bickel
doaj   +1 more source

Geometric Properties of Planar and Spherical Interception Curves

Axioms, 2023
In this paper, some geometric properties of the plane interception curve defined by a nonlinear ordinary differential equation are discussed. Its parametric representation is used to find the limits of some triangle elements associated with the curve ...
Yagub N. Aliyev
doaj   +1 more source

How Slab Age and Width Combine to Dictate the Dynamics and Evolution of Subduction Systems: A 3‐D Spherical Study

Geochemistry, Geophysics, Geosystems, 2022
Many of the factors expected to control the dynamics and evolution of Earth's subduction zones are under‐explored in an Earth‐like spherical geometry. Here, we simulate multi‐material free‐subduction of a complex rheology slab in a 3‐D spherical shell ...
Fangqin Chen, D. Rhodri Davies, Saskia Goes, Lior Suchoy, Stephan C. Kramer   +4 more
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Navigation Course in Mathematical Examples – Utilization of the Spherical Geometry

Naše More (Dubrovnik), 2017
The paper deals with applications of methods of spherical geometry in naval navigation. It summarises the essential knowledge of spherical geometry and presents some exercises and their solutions.
Marie Chodorová, Lenka Juklová, Dana Smetanová   +2 more
doaj   +1 more source

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

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

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

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
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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