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In the finite-dimensional setting, it is known that STFT phase retrieval is always possible when the window's ambiguity function does not vanish. However, it is not known how many zeros are allowed in the ambiguity function for the window still to allow phase retrieval. In order to tackle this problem, we first conside...
In this article, we revisit the construction of some algebraic cycles due to Chad Schoen on certain Prym Varieties. More precisely, we show that these cycles arise naturally from (unramified) geometric class field theory, and apply it to prove the algebraicity of certain Hodge classes on some generalized Prym Varieties...
Emanuela Lo Faro · Francesca Masino · Patrizia Fava · Matteo Alessandro Del Nobile · y 1 más
The aim of this study was to establish a correlation between the secondary shelf life (SSL) of packaged breadsticks and their residual shelf life (RSL). To this aim, the packaged product was stored at 38 °C and external water activity of 0.912. Throughout the entire storage period, the internal water activity was monit...
agricultural and veterinary sciencesother agricultural sciencesBreadstick; Modelling; Secondary shelf life; Shelf life
Bronia Glen · Rhiannon Campbell · Jodie A. Wills · Mark Wiggins · y 3 más
Firefighting involves physically demanding tasks performed under high heat and time pressure. While previous research reports the physical load involved, the extent to which physical fatigue impedes firefighting performance, especially in shipboard environments remains underexplored. Using a laboratory-based shipboard...
We study a chemotaxis-growth system with nonlinear local and nonlocal reactions and gradient-dependent damping. Under suitable conditions on the system parameters and spatial dimension, we prove that solutions exist globally in time and remain uniformly bounded. Unlike classical cases, when local growth dominates, mass...
Analysis of PDEsFOS: Mathematicsmathematicsnatural sciences
Karyn Jourdeuil · Kelechi Chukwuocha · Jasmina Gafurova · Ashley Ben-Mayor · y 2 más
Branchio-oto-renal (BOR) syndrome is an autosomal dominant condition characterized by variable malformations including hearing loss and renal dysfunction. Variants in SIX1 or its activating co-factor EYA1 are causative in about 50% of patients. Some patients carrying BOR variants also present with craniosynostosis, ind...
Structure-preserving neural networks are essential for the long-term prediction of Hamiltonian systems from data. Many important Hamiltonian systems in mechanics and control admit symmetry reduction to Lie--Poisson systems, including rigid bodies, underwater vehicles, fluids, plasmas, and optimal control problems. A fu...
Machine LearningFOS: Computer and information sciencesOptimization and Control (math.OC)Optimization and Control
Berends--Giele currents have recently attracted renewed attention across the amplitude community, appearing in new contexts ranging from gravitational amplitudes to cosmological correlators and string theory. They can be derived from first principles using the perturbiner method, a thirty-year-old framework that organi...
High Energy Physics - TheoryHigh Energy Physics - Theory (hep-th)physical sciencesFOS: Physical sciences
We prove that the Rouquier dimension of the bounded derived category of finitely generated modules over a commutative noetherian ring is bounded below by the Krull dimension of the ring.
The cosmological expansion history of the exponential $f(T)$ gravity model proposed by Linder is determined from a modified Friedmann equation that generally does not admit a closed-form analytical solution for the Hubble parameter, requiring repeated numerical evaluations in cosmological analyses. Motivated by this li...
Cosmology and Nongalactic Astrophysics (astro-ph.CO)physical sciencesFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)
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