Results 11 to 20 of about 4,611 (302)
Complete vector spherical harmonic expansion for Maxwell’s equations [PDF]
Conventional expansions of solutions to Maxwell’s equations in vector spherical harmonics apply only outside the sources. The complete solution, applying both inside and outside the sources, is given here. Harmonic time dependence is assumed.
R. H. Lambert
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The Complete Flux Scheme for Spherically Symmetric Conservation Laws [PDF]
We apply the finite volume method to a spherically symmetric conservation law of advection-diffusion-reaction type. For the numerical flux we use the so-called complete flux scheme. In this scheme the flux is computed from a local boundary value problem for the complete equation, including the source term.
J. H. M. ten Thije Boonkkamp +1 more
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Unveiling the Complete Variant of Spherical Robots [PDF]
This study presents a systematic enumeration of spherical ($SO(3)$) type parallel robots' variants using an analytical velocity-level approach. These robots are known for their ability to perform arbitrary rotations around a fixed point, making them suitable for numerous applications.
Hassen Nigatu +4 more
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Spherical billiards with almost complete escape
A dynamical billiard consists of a point particle moving uniformly except for mirror-like collisions with the boundary. Recent work has described the escape of the particle through a hole in the boundary of a circular or spherical billiard, making connections with the Riemann Hypothesis.
Carl P. Dettmann, Mohammed R. Rahman
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Some fixed point results on Ultrametric Space
The present paper deals with new fixed point theorems by means of F−contraction. The results are present in spherically complete ultrametric space for single valued rational type mappings.
Acar Özlem
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A look at nonexpansive mappings in non-Archimedean vector spaces
In a spherically complete ultrametric space every nonexpansive self-mapping T has a fixed point ̄x or a minimal invariant ball B(̄x, d(̄x, T(̄x)). We show how we can approximate this fixed center ̄x in a non-Archimedean vector space.
Lazaiz Samih
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Penot’s Compactness Property in Ultrametric Spaces with an Application
In this work, we investigate the compactness property in the sense of Penot in ultrametric spaces. Then, we show that spherical completeness is exactly the Penot’s compactness property introduced for convexity structures.
Mostafa Bachar +2 more
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Complete intersections in spherical varieties [PDF]
Let G be a complex reductive algebraic group. We study complete intersections in a spherical homogeneous space G/H defined by a generic collection of sections from G-invariant linear systems. Whenever nonempty, all such complete intersections are smooth varieties. We compute their arithmetic genus as well as some of their h^{p,0} numbers.
Kaveh, Kiumars, Khovanskii, A. G.
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The Fixed-Point Theory of Strictly Contracting Functions on Generalized Ultrametric Semilattices [PDF]
We introduce a new class of abstract structures, which we call generalized ultrametric semilattices, and in which the meet operation of the semilattice coexists with a generalized distance function in a tightly coordinated way.
Eleftherios Matsikoudis, Edward A. Lee
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Conformal Symmetries of the Strumia–Tetradis’ Metric
In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos +1 more
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