Results 51 to 60 of about 15,461 (264)

A Conditional Fourier-Feynman Transform and Conditional Convolution Product with Change of Scales on a Function Space II

Journal of Probability and Statistics, 2017
Using a simple formula for conditional expectations over continuous paths, we will evaluate conditional expectations which are types of analytic conditional Fourier-Feynman transforms and conditional convolution products of generalized cylinder functions
Dong Hyun Cho
doaj   +1 more source

Artificial Intelligence in Systemic Sclerosis: Clinical Applications, Challenges, and Future Directions

Arthritis Care &Research, EarlyView.
Systemic sclerosis (SSc) is a rare autoimmune disease defined by immune dysregulation, vasculopathy, and progressive fibrosis of the skin and internal organs. Despite advances in care, major complications such as interstitial lung disease (ILD) and myocardial involvement remain the leading causes of morbidity and mortality.
Cristiana Sieiro Santos, José Miguel Sequí‐Sabater, Diego Benavent   +2 more
wiley   +1 more source

On a generalized convolution of incidence functions

Discrete Mathematics, 2000
The author defines a class of convolutions (called by him \(K\)-convolutions) on the set of incidence functions defined on a locally finite partially order set. This generalizes the \(K\)-convolutions on the set of arithmetical functions [see e.g. \textit{P. J. McCarthy}, Introduction to arithmetical functions, Springer, New York (1986; Zbl 0591.10003)]
openaire   +2 more sources

Generalization of convolution and incidence algebras

European Journal of Combinatorics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Florence Magnifo, Ivo G. Rosenberg
openaire   +2 more sources

Microstructure Reconstruction in Battery Electrodes Using Machine Learning Based on Low‐Voltage Focused Ion Beam–Scanning Electron Microscopy Tomography Images

Advanced Engineering Materials, EarlyView.
Low‐voltage FIB‐SEM tomography combined with a image preprocessing pipeline improves phase contrast and enables reliable machine‐learning segmentation of conductive networks in lithium‐ion battery electrodes. Structural descriptors are extracted from segmented images, done semimanually and automated, and compared.
Lisa Beran, Vincent Nebel, Dominik Perius, Kshitij Kumar, Yannis Heim, Laura Bies, Tobias Kraus   +6 more
wiley   +1 more source

Matrix equation representation of the convolution equation and its unique solvability

Special Matrices
We consider the convolution equation F*X=BF* X=B, where F∈R3×3F\in {{\mathbb{R}}}^{3\times 3} and B∈Rm×nB\in {{\mathbb{R}}}^{m\times n} are given and X∈Rm×nX\in {{\mathbb{R}}}^{m\times n} is to be determined. The convolution equation can be regarded as a
Satake Yuki, Sogabe Tomohiro, Kemmochi Tomoya, Zhang Shao-Liang   +3 more
doaj   +1 more source

Convolution algebras arising from Sturm-Liouville transforms and applications

International Journal of Mathematics and Mathematical Sciences, 2001
A regular Sturm-Liouville eigenvalue problem gives rise to a related linear integral transform. Churchill has shown how such an integral transform yields, under certain circumstances, a generalized convolution operation.
Jason P. Huffman, Henry E. Heatherly
doaj   +1 more source

Machine Learning‐Supported Analysis for Predicting and Visualizing Nonlinear Relationships Between Material Properties in Electroplated Chromium Layers

Advanced Engineering Materials, EarlyView.
This study applies machine learning regression to predict chromium layer thickness in decorative trivalent chromium electroplating, using 441 experiments from laboratory‐scale (1L) and pilot‐scale (14L) setups. Tree‐based models, particularly CatBoost, outperformed linear regression by capturing nonlinear parameter interactions (R2$R^2$ up to 0.77 ...
Christoph Baumer, Christopher Mai, Luca Eisentraut, Andreas Bund, Ricardo Buettner   +4 more
wiley   +1 more source

Harmonic Analysis Associated with the Generalized q-Bessel Operator

International Journal of Analysis and Applications, 2016
In this article, we give a new harmonic analysis associated with the generalized q-Bessel operator. We introduce the generalized $q$-Bessel transform, the generalized q-Bessel translation and the generalized $q$-Bessel convolution product.
Ahmed Abouelaz, Radouan Daher, El Mehdi Loualid   +2 more
doaj   +2 more sources

Generalized weighted Besov spaces on the Bessel hypergroup

Journal of Function Spaces and Applications, 2006
In this paper we study generalized weighted Besov type spaces on the Bessel-Kingman hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized ...
Miloud Assal, Hacen Ben Abdallah
doaj   +1 more source