Results 31 to 40 of about 1,269 (172)
From non-Kählerian surfaces to Cremona group of P2(C)
For any minimal compact complex surface S with n = b2(S) > 0 containing global spherical shells (GSS) we study the effectiveness of the 2n parameters given by the n blown up points.
Dloussky Georges
doaj +1 more source
Rigorous frameworks construction toward the development of science‐based machine learning (ML) schemes: invocation of statistical learning and data‐driven methods within the diverse materials science fields, from materials characterization to molecular modeling utilizing domain knowledge to facilitate fundamental understanding and scientific discovery.
Niki Vergadou, Vassilios Constantoudis
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An eigenvalue estimate for self-shrinkers in a Ricci shrinker
In this paper, we study the drifted Laplacian Δf on a hypersurface M in a Ricci shrinker (M̄,g,f) $\left(\bar{M},g,f\right)$ . We prove that the spectrum of Δf is discrete for immersed hypersurfaces with bounded weighted mean curvature in a Ricci ...
Conrado Franciele, Zhou Detang
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Dispersion‐Less Dissipative Soliton Fiber Laser
A dispersion‐less fiber laser architecture generates high‐energy, pedestal‐free picosecond pulses without resorting to conventional pulse stretching. This energy‐managed laser achieves remarkable flexibility in pulse parameters, delivering up to 0.54 μJ$\mathrm{\mu}\mathrm{J}$ pulses with minimal spectral distortion using standard telecom components ...
Mostafa I. Mohamed +2 more
wiley +1 more source
Pseudo-Reimannian manifolds endowed with an almost para f-structure
Let M˜(U,Ω˜,η˜,ξ,g˜) be a pseudo-Riemannian manifold of signature (n+1,n). One defines on M˜ an almost cosymplectic para f-structure and proves that a manifold M˜ endowed with such a structure is ξ-Ricci flat and is foliated by minimal hypersurfaces ...
Vladislav V. Goldberg, Radu Rosca
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Metasurfaces in Adaptive Optics: A New Opportunity in Optical Wavefront Sensing
Wavefront sensing constitutes a critical component of adaptive optics systems, aimed at quantitatively measuring distorted wavefronts and enabling closed‐loop correction in optical setups. Metasurfaces, as planar optical elements composed of nanoscale structures, provide exceptional freedom in modulating multiple dimensions of the light field.
Rundong Fan +3 more
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Causal hierarchy in modified gravity
We investigate the causal hierarchy in various modified theories of gravity. In general relativity the standard causal hierarchy, (key elements of which are chronology, causality, strong causality, stable causality, and global hyperbolicity), is well ...
Raúl Carballo-Rubio +3 more
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On higher Jacobians, Laplace equations, and Lefschetz properties
Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida +2 more
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Minimal hypersurfaces in Rn as regular values of a function
In this paper we prove that if M = /_1(0) is a minimal hypersurface of Rn, where / : V C Rn -► R is a smooth function defined on a open set V, then / must satisfy the equation |V/|2A/ = |(V|V/|2,V/} for every x € M.
Óscar Mario Perdomo
doaj
Plank theorems and their applications: A survey
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
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