Results 31 to 40 of about 425,585 (327)
AN INCIDENCE CONJECTURE OF BOURGAIN OVER FIELDS OF POSITIVE CHARACTERISTIC
In this note we generalize a recent theorem of Guth and Katz on incidences between points and lines in 3-space from characteristic 0 to characteristic $p ...
JORDAN S. ELLENBERG, MÁRTON HABLICSEK
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Theoretical model for the transmittance in a left-handed metamaterial of different geometries [PDF]
In this work, a theoretical model for the transmittance in a left-handed metamaterial of different geometries is presented. The proposed unit cells are a combination of conducting wires of rectangular cross-section with square-ring and hexagonal ...
Héctor Lorduy G, Ángel Salazar
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High efficiency near diffraction-limited mid-infrared flat lenses based on metasurface reflectarrays [PDF]
A limiting factor in the development of mid-infrared optics is the lack of abundant materials that are transparent, low cost, lightweight, and easy to machine. In this paper, we demonstrate a metasurface device that circumvents these limitations.
Aieta, Francesco+11 more
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Polynomial effective equidistribution
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of $\mathrm{SL}_2(\mathfrak{l})$ in arithmetic quotients of $\mathrm{SL}_2(\mathbb{C})$ and $\mathrm{SL}_2(\mathfrak{l})\times \mathrm{SL}_2 ...
Lindenstrauss, Elon+2 more
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Method for fast determination of the angle of ionizing radiation incidence from data measured by a Timepix3 detector [PDF]
This paper presents a method of how to determine spatial angles of ionizing radiation incidence quickly, using a Timepix3 detector. This work focuses on the dosimetric applications where detectors and measured quantities show significant angle ...
F. Lehner+8 more
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Studies on the geometry variation-related compressor uncertainty quantification (UQ) have often used dimension reduction methods, such as the principal component analysis (PCA), for the modeling of deviations.
Mingzhi Li+4 more
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Point-curve incidences in the complex plane [PDF]
We prove an incidence theorem for points and curves in the complex plane. Given a set of $m$ points in ${\mathbb R}^2$ and a set of $n$ curves with $k$ degrees of freedom, Pach and Sharir proved that the number of point-curve incidences is $O\big(m ...
Sheffer, Adam+2 more
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Matroid Enumeration for Incidence Geometry [PDF]
Matroids are combinatorial abstractions for point configurations and hyperplane arrangements, which are fundamental objects in discrete geometry. Matroids merely encode incidence information of geometric configurations such as collinearity or coplanarity, but they are still enough to describe many problems in discrete geometry, which are called ...
David Bremner+3 more
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Anisotropic Wavefronts and Laguerre Geometry [PDF]
Motivated by the study of wave fronts in anisotropic media, we propose an incidence geometry of anisotropic spheres in a Finsler-Minkowski space. An anisotropic version of the Laguerre functional is considered.
Palmer, Bennett
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THE FULFILLED EUCLIDEAN PLANE [PDF]
The fulfilled euclidean plane is the real projective plane, completed with the infinite point of its infinite line denoted new incidence structure. This is a structure with neighbouring elements, in which the unicity of the line through two distinct ...
Vasiu, Adrian, Vasiu, Angela
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