Results 11 to 20 of about 320 (144)

The degree of nondensifiability of linear bounded operators and its applications

Applied General Topology
In the present paper we define the degree of nondensifiability (DND for short) of a bounded linear operator T on a Banach space and analyze its properties and relations with the Hausdorff measure of non-compactness (MNC for short) of T. As an application
Gonzalo García, Gaspar Mora
doaj   +1 more source

Some Fibonacci sequence spaces of non-absolute type derived from $\ell_{p} $ with $(1 \leq p \leq \infty)$ and Hausdorff measure of non-compactness of composition operators

, 2017
The aim of the paper is to introduce the spaces $\ell_{\infty}^λ(\widehat{F})$ and $\ell_{p}^λ(\widehat{F})$ derived by the composition of the two infinite matrices $Λ=(λ_{nk})$ and $\widehat{F}=\left( f_{nk} \right),$ which are the $BK$-spaces of non-absolute type and also derive some inclusion relations.
Das, Anupam, Hazarika, Bipan, Başar, Feyzi   +2 more
openaire   +2 more sources

Cell Segmentation Beyond 2D—A Review of the State‐of‐the‐Art

Advanced Intelligent Discovery, EarlyView.
Cell segmentation underpins many biological image analysis tasks, yet most deep learning methods remain limited to 2D despite the inherently 3D nature of cellular processes. This review surveys segmentation approaches beyond 2D, comparing 2.5D and fully 3D methods, analyzing 31 models and 32 volumetric datasets, and introducing a unified reference ...
Fabian Schmeisser, Haseeb Muhammad, Junaid Younas, Gillian Lovell, Bianca Migliori, Andreas Dengel, Sheraz Ahmed   +6 more
wiley   +1 more source

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

A Geometric Characterization of Steady Laminar Flow

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley   +1 more source

Solvability of m-product mixed non-linear functional integral equations

Beni-Suef University Journal of Basic and Applied Sciences
The purpose of this paper is devoted to establishing the existence of solutions for m-product non-linear functional integral equations with weakly singular and Riemann–Liouville integral terms.
Amar Deep, Manochehr Kazemi, Mohammad Ali Fariborzi Araghi, Mohammad Esmael Samei   +3 more
doaj   +1 more source

Selective Modification of the Product Profile of Biocatalytic Hydrolyzed PET via Product‐Specific Medium Engineering

ChemSusChem, Volume 18, Issue 6, March 15, 2025.
The product profile of enzymatically hydrolyzed PET can be modified by medium engineering and thereby adapted to a desired product. TPA, MHET or BHET can be forced as the predominant product using a basic pH (blue), 25 % ethylene glycol (EG) and IsPETasewt (green) or ≥25 % EG and LCCICCG (pink), respectively.
Tobias Heinks, Katrin Hofmann, Simon Last, Igor Gamm, Luise Blach, Ren Wei, Uwe T. Bornscheuer, Christof Hamel, Jan von Langermann   +8 more
wiley   +1 more source

Corrigendum to ” Matrix transformation and application of Hausdorff measure of non-compactness on newly defined Fibo-Pascal sequence spaces” [ Filomat 38:4 (2024), 1185-1196]

Filomat
This corrigendum is to express the definition of the Fibo-Pascal matrix PF = (pFnk) involving Fibonomial coefficient and its inverse [PF]-1 = ((pF)-1nk) were given in[2]. So, the last two paragraphs of the introductory section in [1] should be replaced by the following statements.
Muhammet Dağlı, Taja Yaying
openaire   +1 more source

A Review of Artificial Intelligence in Ophthalmology: Key Aspects, Challenges, and Future Directions

Eye &ENT Research, EarlyView.
ABSTRACT Artificial intelligence (AI) is increasingly reshaping ophthalmology because the specialty depends heavily on structured imaging, quantitative measurements, and repeatable diagnostic workflows. This review provides a clinically grounded and translationally oriented synthesis of AI in ophthalmology, covering methodological foundations ...
Partha Pratim Ray
wiley   +1 more source

Development and External Validation of an Efficient Deep Learning Model for Lesion Segmentation and Subtyping of Hepatic Echinococcosis in Ultrasound Imaging

Health Care Science, EarlyView.
We developed a lightweight deep learning framework that integrates frequency‐ and spatial‐domain ultrasound features with segmentation‐assisted classification for hepatic echinococcosis diagnosis. The model outperformed existing state‐of‐the‐art methods in both accuracy and inference speed while requiring substantially fewer computational resources ...
Zhu He, Jiajun Qiu, Chenlin Du, Jin Yin, Xuhui Zhang, Yelei Ren, Yifei Wang, Lamu Suolang, Chunyang Li, Zongjiu Zhang, Diming Cai, Qicheng Lao   +11 more
wiley   +1 more source