Results 41 to 50 of about 82,468 (248)
An embedding of Schwartz distributions in the algebra of asymptotic functions
International Journal of Mathematics and Mathematical Sciences, 1998 We present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, called in the paper asymptotic function, similar to but different from J.
Michael Oberguggenberger +1 more
doaj +1 more source
A New Approach to Nonstandard Analysis [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we propose a new approach to nonstandard analysis without using the ultrafilters. This method is very simple in practice. Moreover, we construct explicitly the total order relation in the new field of the infinitesimal numbers.
Saghe Abdeljalil
doaj +1 more source
A nonstandard characterization of regular surfaces [PDF]
, 2007 In the present work we approach the study of surfaces using Nonstandard Analysis, by providing first a nonstandard characterization of a surface.
Almeida, R
core +1 more source
Beyond Silicon: Toward Sustainable, NIR‐II, and Conformable Organic Photodiodes
Advanced Energy Materials, EarlyView.In this perspective, a strategic shift in organic photodetector (OPD) research is proposed: instead of the incremental advances in silicon's stronghold arena, the most impactful future for OPDs lies in addressing silicon's intrinsic limitations, i.e., detection in the longer wavelength range above silicon's coverage (>1100 nm, termed as near infrared ...
Hrisheekesh Thachoth Chandran +7 more
wiley +1 more source
Singular perturbations and nonstandard analysis [PDF]
Transactions of the American Mathematical Society, 1979 We study by methods of nonstandard analysis second order differential operators with zero order coefficients which are too singular to be defined by standard functions. In particular we study perturbations of the Laplacian in R 3 {R^3} given by potentials of the form λ
Albeverio, Sergio +2 more
openaire +1 more source
Advanced Intelligent Discovery, EarlyView.Predictive models successfully screen nanoparticles for toxicity and cellular uptake. Yet, complex biological dynamics and sparse, nonstandardized data limit their accuracy. The field urgently needs integrated artificial intelligence/machine learning, systems biology, and open‐access data protocols to bridge the gap between materials science and safe ...
Mariya L. Ivanova +4 more
wiley +1 more source
On the connection between Nonstandard Analysis and Constructive Analysis [PDF]
, 2013 Constructive Analysis and Nonstandard Analysis are often characterized as completely antipodal approaches to analysis. We discuss the possibility of capturing the central notion of Constructive Analysis (i.e.
Sanders, Sam
core
Predicting Performance of Hall Effect Ion Source Using Machine Learning
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This study introduces HallNN, a machine learning tool for predicting Hall effect ion source performance using a neural network ensemble trained on data generated from numerical simulations. HallNN provides faster and more accurate predictions than numerical methods and traditional scaling laws, making it valuable for designing and optimizing Hall ...
Jaehong Park +8 more
wiley +1 more source
Hyper-extensions in metric fixed point theory [PDF]
, 2014 We apply a modern axiomatic system of nonstandard analysis in metric fixed point theory. In particular, we formulate a nonstandard iteration scheme for nonexpansive mappings and present a nonstandard approach to fixed-point problems in direct sums of ...
Wiśnicki, Andrzej
core
Roadmap on Artificial Intelligence‐Augmented Additive Manufacturing
Advanced Intelligent Systems, EarlyView.This Roadmap outlines the transformative role of artificial intelligence‐augmented additive manufacturing, highlighting advances in design, monitoring, and product development. By integrating tools such as generative design, computer vision, digital twins, and closed‐loop control, it presents pathways toward smart, scalable, and autonomous additive ...
Ali Zolfagharian +37 more
wiley +1 more source