Results 41 to 50 of about 66,173 (139)

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Adaptive Calculation Method of Line Loss of Distribution Network Based on Genetic Algorithm and Artificial Neural Network

open access: yesEngineering Reports, Volume 8, Issue 4, April 2026.
A GA‐BP neural network model with optimized preprocessing and clustering reduces line loss calculation errors and improves efficiency in distribution networks. ABSTRACT Traditional methods for calculating distribution line losses often rely on complex mathematical models and extensive operational data, leading to cumbersome processes that struggle to ...
Tianjun Chen   +4 more
wiley   +1 more source

A Force‐Based Identification Scheme for Constitutive Parameters Regularized by Admissible Elemental Internal Forces

open access: yesEngineering Reports, Volume 8, Issue 4, April 2026.
The “E‐FEMU‐F loss” as a function of full‐field displacements, constitutive parameters, and “Admissible Elemental Internal Forces” (AEIFs). AEIFs are constructed from measured (integrated) external forces and optimized analytically, while constitutive parameters are inferred numerically to minimize the E‐FEMU‐F loss.
Abbas Jafari   +2 more
wiley   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

open access: yesFortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré   +4 more
wiley   +1 more source

Motivic integration and the Grothendieck group of pseudo-finite fields

open access: yes, 2002
We survey our recent work on an extension of the theory of motivic integration, called arithmetic motivic integration. We developed this theory to understand how p-adic integrals of a very general type depend on p.Comment: 11 ...
Denef, J., Loeser, F.
core   +1 more source

On some differences between number fields and function fields

open access: yes, 2016
The analogy between the arithmetic of varieties over number fields and the arithmetic of varieties over function fields is a leading theme in arithmetic geometry. This analogy is very powerful but there are some gaps.
Gasbarri, Carlo
core  

A probabilistic approach to analytic arithmetic on algebraic function fields

open access: yesMathematical Proceedings of the Cambridge Philosophical Society, 2005
R. Arratia, A. Barbour, S. Tavaré
semanticscholar   +1 more source

The arithmetic of certain cubic function fields

open access: yesMathematics of Computation, 2004
M. Bauer
semanticscholar   +1 more source

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