Results 231 to 240 of about 26,670 (302)

Random Diophantine equations in the primes

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
wiley   +1 more source

Multi‐Objective Catalyst Discovery in High‐Entropy Alloy Composition Space: The Role of Noble Metals on the Pareto Front for Oxygen Reduction Reaction

Angewandte Chemie, Volume 138, Issue 26, 22 June 2026.
Pareto optimal compositions of alloy catalyst for oxygen reduction reaction are uncovered through multi‐objective Bayesian optimization of activity, stability, and material cost in an eight‐element high‐entropy alloy composition space. The substantial Pareto front obtained is compared to experimental literature and analyzed to elucidate the roles and ...
Mads K. Plenge, Ahmad Tirmidzi, Christian M. Clausen, Matthias Arenz, Jan Rossmeisl   +4 more
wiley   +2 more sources

Analyzing gendered patterns in sentiments in comments under STEM YouTube channels. [PDF]

Front Artif Intell
Karn I, Ilakiyaselvan N, Kalyanasundaram V, Keerthi AJ.   +3 more
europepmc   +1 more source

Upscaling the Strength Domain of Heterogeneous Cohesive‐Frictional Materials via a General FFT‐Based Limit Analysis Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
wiley   +1 more source

Linear Stability of Schwarzschild-Anti-de Sitter Spacetimes III: Quasimodes and Sharp Decay of Gravitational Perturbations. [PDF]

Commun Math Phys
Graf O, Holzegel G.
europepmc   +1 more source

A Virtual Heat Flux Method for Simple and Accurate Neumann Thermal Boundary Imposition in the Material Point Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT In the material point method (MPM), accurate enforcement of thermal boundary conditions, particularly convective heat flux boundaries, is crucial for the reliable simulation of thermally coupled multiphysics processes, such as natural heat‐convection phenomena on Earth.
Jidu Yu, Jidong Zhao
wiley   +1 more source

Positivity-Preserving Hybridizable Discontinuous Galerkin Scheme for Solving PNP Model. [PDF]

Entropy (Basel)
Morales D, Xu Z.
europepmc   +1 more source

A Tree-Based Model for Addressing Sparsity and Taxa Covariance in Microbiome Compositional Count Data. [PDF]

Stat Med
Wang Z, Mao J, Ma L.
europepmc   +1 more source

A novel fractional-order coupled model integrating a damped oscillator equation with a non-Fickian heat conduction equation. [PDF]

Sci Rep
Li T, Zhao X, Zhang Y, Wang Y, Hu Y.
europepmc   +1 more source

RAMS: Residual‐Based Adversarial‐Gradient Moving Sample Method for Scientific Machine Learning in Solving Partial Differential Equations

Advanced Intelligent Discovery, Volume 2, Issue 3, June 2026.
We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang, Min Zhu, Wei Xiong, Si‐Wei Liu, Lu Lu   +4 more
wiley   +1 more source