Computing localizations iteratively

Let R = C[x] be a polynomial ring with complex coefficients and DX = Chx, ∂i be the Weyl algebra. Describing the localization Rf = R[f −1 ] for nonzero f ∈ R as a DX-module amounts to computing the annihilator A = Ann(f a ) ⊂ DX of the cyclic generator f a for a suitable negative integer a. We construct an iterative algorithm that uses truncated annihilators to build A for planar curves

Monte Carlo Approaches to Parameterized Poker Squares

The paper summarized a variety of Monte Carlo approaches employed in the top three performing entries to the Parameterized Poker Squares NSG Challenge competition. In all cases AI players benefited from real-time machine learning and various Monte Carlo game-tree search techniques

Bound-free pair production from nuclear collisions and the steady-state quench limit of the main dipole magnets of the CERN Large Hadron Collider

During its Run 2 (2015-2018), the Large Hadron Collider (LHC) operated at almost twice higher energy, and provided Pb-Pb collisions with an order of magnitude higher luminosity, than in the previous Run 1. In consequence, the power of the secondary beams emitted from the interaction points by the bound-free pair production (BFPP) process increased by a factor ~20, while the propensity of the bending magnets to quench increased with the higher magnetic field. This beam power is about 35 times greater than that contained in the luminosity debris from hadronic interactions and is focused on specific locations that fall naturally inside superconducting magnets. The risk of quenching these magnets has long been recognized as severe and there are operational limitations due to the dynamic heat load that must be evacuated by the cryogenic system. High-luminosity operation was nevertheless possible thanks to orbit bumps that were introduced in the dispersion suppressors around the ATLAS and CMS experiments to prevent quenches by displacing and spreading out these beam losses. Further, in 2015, the BFPP beams were manipulated to induce a controlled quench, thus providing the first direct measurement of the steady-state quench level of an LHC dipole magnet. The same experiment demonstrated the need for new collimators that are being installed around the ALICE experiment to intercept the secondary beams in the future. This paper discusses the experience with BFPP at luminosities very close to the future High Luminosity LHC (HL-LHC) target, gives results on the risk reduction by orbit bumps and presents a detailed analysis of the controlled quench experiment.Comment: 16 pages, 11 figure

Particle dynamics near extreme Kerr throat and supersymmetry

The extreme Kerr throat solution is believed to be non-supersymmetric. However, its isometry group SO(2,1) x U(1) matches precisely the bosonic subgroup of N=2 superconformal group in one dimension. In this paper we construct N=2 supersymmetric extension of a massive particle moving near the horizon of the extreme Kerr black hole. Bosonic conserved charges are related to Killing vectors in a conventional way. Geometric interpretation of supersymmetry charges remains a challenge.Comment: V2: 10 pages; discussion in sect. 4 and 5 extended, acknowledgements and references adde

Gestión logística y exportación de cardigans a Estados Unidos por las empresas textiles del distrito de Miraflores, 2021

El objetivo principal del actual trabajo de investigación es determinar la relación que existe entre la gestión logística y la exportación de cardigans a Estados Unidos por las empresas textiles del distrito de Miraflores, 2021. El estudio es de tipo aplicada, con un diseño de investigación no experimental - corte transversal. La investigación tiene enfoque cuantitativo y es correlacional. La población en estudio fue de 32 colaboradores que laboran en la empresa en estudio. Como instrumento de recolección de datos, se empleó el cuestionario, con un total de 36 preguntas, considerando el nivel de medición en escala de Likert y el programa estadístico SPSS 25, evaluando así el grado de relación entre la variable independiente sobre la dependiente. De esta forma, se logró concluir a través de los resultados obtenidos que la gestión logística sí tiene relación en la exportación de cardigans a Estados Unidos por las empresas textiles del distrito de Miraflores, 2021. Por medio del alfa de cronbach se obtuvo un ,871 de confiabilidad, obteniendo por otra parte una correlación de ,359 según Rho de Spearman. Por lo que se concluye que Wayra Perú tiene una relación positiva entre la gestión logística y las exportaciones de cardigans a Estados Unidos por las empresas textiles del distrito de Miraflores, 2021

Graphene-based photonic crystal

A novel type of photonic crystal formed by embedding a periodic array of constituent stacks of alternating graphene and dielectric discs into a background dielectric medium is proposed. The photonic band structure and transmittance of such photonic crystal are calculated. The graphene-based photonic crystals can be used effectively as the frequency filters and waveguides for the far infrared region of electromagnetic spectrum. Due to substantial suppression of absorption of low-frequency radiation in doped graphene the damping and skin effect in the photonic crystal are also suppressed. The advantages of the graphene-based photonic crystal are discussed.Comment: 4 pages, 3 figure