Results 31 to 40 of about 5,104 (219)

Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi   +2 more
doaj   +1 more source

Edge Eigenface Weighted Hausdorff Distance for Face Recognition [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2011
The different face regions have different degrees of importance for face recognition. In previous Hausdorff distance (HD) measures, points are treated as same importance, or weight different points that calculated from gray domain.
Huachun Tan   +6 more
doaj   +1 more source

Front Propagation Through a Perforated Wall

open access: yesCommunications 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   +2 more
wiley   +1 more source

Infinite System of Differential Equations in Some Spaces

open access: yesAbstract and Applied Analysis, 2012
The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al.
M. Mursaleen, Abdullah Alotaibi
doaj   +1 more source

Construction of Regular Non-Atomic Strictly-Positive Measures in Second-Countable Non-Atomic Locally Compact Hausdorff Spaces

open access: yesAnnales Mathematicae Silesianae, 2022
This paper presents a constructive proof of the existence of a regular non-atomic strictly-positive measure on any second-countable non-atomic locally compact Hausdorff space.
Bentley Jason
doaj   +1 more source

A Geometric Characterization of Steady Laminar Flow

open access: yesCommunications 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

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

open access: yesChemSusChem, 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   +8 more
wiley   +1 more source

Something About h - Measures of Sets in Plane

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this article we estimate the Hausdorff h-measures of the graphs of some functions, for different measure functions.
Bărbulescu Alina
doaj   +1 more source

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

open access: yesEye &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

3D Printing a Clinically Available Solution From Plaster‐Based Positives in Superficial Radiation Therapy

open access: yesJournal of Medical Radiation Sciences, EarlyView.
This study compares two techniques for creating lead shielding masks to replace the current process for superficial/orthovoltage facial radiotherapy: Plaster Cast Positive Mould (PCPM), CT Scanned 3D Print (CT3DP), and Optical Scan 3D Print (OS3DP). CT3DP was found to be more accurate and preferred over OS3DP.
Rory Hartley   +6 more
wiley   +1 more source

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