Results 61 to 70 of about 5,551 (211)

Minimal sequential Hausdorff spaces

International Journal of Mathematics and Mathematical Sciences, 2004
A sequential space (X, T) is called minimal sequential if no sequential topology on X is strictly weaker than T. This paper begins the study of minimal sequential Hausdorff spaces. Characterizations of minimal sequential Hausdorff spaces are obtained using filter bases, sequences, and functions satisfying certain graph conditions.
openaire   +2 more sources

On the cardinality of certain Hausdorff spaces

Discrete Mathematics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
János Gerlits, András Hajnal, Zoltán Szentmiklóssy   +2 more
openaire   +2 more sources

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

R-ideals of Almost Distributive Lattices [PDF]

Journal of Algebraic Systems
The concepts have been introduced in Almost DistributiveLattices(ADLs), namely, R-ideals and-ideals. A set ofconditions has been identified that are equivalent to converting anE-ideal into an R-ideal.
Noorbasha Rafi, Natnael Amare, Balaiah Mothukuri, Tanniru Rao   +3 more
doaj   +1 more source

Advancing the Volumetric Analysis of Ultra‐Low‐Field Brain MRI Using Image‐to‐Image Translation

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Ultra‐low‐field (ULF) MRI offers a promising path to accessible neuroimaging, with potential to address global healthcare disparities and advance population‐level brain health research. However, the inherently low signal‐to‐noise ratio (SNR), reduced spatial resolution, and altered tissue contrasts relative to conventional high‐field ...
Peter Hsu, Elisa Marchetto, Patricia M. Johnson, Jelle Veraart   +3 more
wiley   +1 more source

The Centre of the Spaces of Banach Lattice-Valued Continuous Functions on the Generalized Alexandroff Duplicate

Abstract and Applied Analysis, 2011
We characterize the centre of the Banach lattice of Banach lattice 𝐸-valued continuous functions on the Alexandroff duplicate of a compact Hausdorff space 𝐾 in terms of the centre of 𝐶(𝐾,𝐸), the space of 𝐸-valued continuous functions on 𝐾.
Faruk Polat
doaj   +1 more source

Deep Learning‐Based Dynamic Segmentation of the Left Atrium in 4D Flow MRI

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To design a deep learning pipeline for automated, time‐resolved segmentation of the left atrium (LA) from 4D flow MRI data. Methods We studied 100 individuals including 65 patients with atrial fibrillation (AF) and 35 healthy subjects (HS) resulting in 2530 4D flow MRI time‐volumes acquired in different centers and scanners.
Jonas Leite, Tom Da‐Silva Faria, Marie Shannon Soulez, Khaoula Bouazizi, Perrine Marsac, Elie Mousseaux, Jérôme Lamy, Moussa Gueda Moussa, Olivier Piot, Jacques Feignoux, Daniel Giese, Nicolas Badenco, Estelle Gandjbakhch, Alban Redheuil, Mikaël Laredo, Emilie Bollache, Nadjia Kachenoura   +16 more
wiley   +1 more source

Hausdorff closed extensions of pre-uniform spaces

Applied General Topology, 2012
The family of densely finite open covers of a Hausdorff space X determines a completable pre-uniformity on X and the canonical completion X is Hausdorff closed.
Adalberto García-Máynez, Rubén Mancio-Toledo   +1 more
doaj   +1 more source

R3Net: Recursive Residual Refinement Network Architecture for Decoder‐Free Medical Image Segmentation

Precision Radiation Oncology, EarlyView.
We propose R3Net, a decoder‐free medical image segmentation framework that recursively refines multiscale representations within the encoder using residual pathways. R3Net achieves competitive accuracy with reduced model complexity and improved computational efficiency across multiple medical imaging modalities.
Jing Huang, Yongkang Zhao, Yuhan Li, Zhitao Dai, Cheng Chen, Qiying Lai   +5 more
wiley   +1 more source