A New Analytical Method for Solving the Fractional Swift-Hohenberg Equation with Atangana-Baleanu Derivative. [PDF]
Khalid Kareem J +2 more
europepmc +1 more source
ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
wiley +1 more source
A Hybrid Transformer Architecture with a Quantized Self-Attention Mechanism Applied to Molecular Generation. [PDF]
Smaldone AM +6 more
europepmc +1 more source
Tropical Easterly Waves in the Tropical North Atlantic Basin
Tropical easterly waves (TEWs) serve as precursors to North Atlantic tropical cyclones and act as key modulators of regional rainfall. This review synthesizes current TEW research on genesis mechanisms, tracking methodologies, the influence of climate variability modes, and uncertainties in future projections.
Orlando L. Córdova‐García +6 more
wiley +1 more source
Generative diffusion models in infinite dimensions: a survey. [PDF]
Franzese G, Michiardi P.
europepmc +1 more source
ABSTRACT Philosophers often characterize perception as image‐like. There is little agreement, however, about what constitutes an imagistic or iconic representation. This article identifies five signature properties of iconic representations endorsed in the philosophical and scientific literature: item‐richness, feature‐richness, spatiotemporal ...
Jake Quilty‐Dunn
wiley +1 more source
Linear Stability of Schwarzschild-Anti-de Sitter Spacetimes III: Quasimodes and Sharp Decay of Gravitational Perturbations. [PDF]
Graf O, Holzegel G.
europepmc +1 more source
Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles
ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester +2 more
wiley +1 more source
The Quantum Brain: The Untold Story of Docosahexaenoic Acid's Role in Brain Evolution, Biophysics, and Cognition. [PDF]
Crawford MA +9 more
europepmc +1 more source
Sharp Upper Bound for Amplitudes of Finite‐Gap Solutions of the Modified Korteweg‐de Vries Equation
ABSTRACT A sharp upper bound is established for the amplitudes of finite‐gap solutions of the focusing modified Korteweg–de Vries equation. The proof shows that the optimization can be carried out entirely within the finite‐dimensional hierarchy, without explicit integration of the finite‐gap solution. The maximal amplitude is expressed in terms of the
Otis C. Wright III
wiley +1 more source

