Results 41 to 50 of about 608 (243)

$I^K_ν$-Convergence of functions in probabilistic normed spaces

, 2023
In this paper we study $I^K$-convergence of functions with respect to probabilistic norm $ν$ which is a generalization of $I^*_ν$-convergence in probabilistic norm spaces. We also study on $I^K$-Cauchy functions and $I^K$-limit points with respect to probabilistic norm $ν$ in the same space.
Banerjee, Amar Kumar, Paul, Mahendranath
openaire   +2 more sources

Invariant and semi-invariant probabilistic normed spaces [PDF]

Chaos, Solitons & Fractals, 2009
We introduce the concept of semi-invariance among the PN spaces. In this paper we will find a sufficient condition for some PN spaces to be semi-invariant. We will show that PN spaces are normal(functional analysis) spaces.Urysohns's lemma, and Tietze extensions theorem for them are proved.
Ghaemi, M.B., Lafuerza Guillén, Bernardo, Saiedinezhad, S.   +2 more
openaire   +2 more sources

Nanoscale Spatial Organization of ARC High‐ and Low‐Order Assemblies at Excitatory Synapses

Advanced Science, EarlyView.
ARC (Activity‐Regulated Cytoskeleton‐Associated protein) mediates synaptic plasticity by forming nanoscale assemblies in neurons. Using super‐resolution microscopy and time‐resolved anisotropy with targeted tagging, the study reveals low‐order ARC assemblies at synapses colocalizing with AMPARs, semi‐circular structures at endocytic zones, and 60–80 nm
Martina Damenti, Giovanna Coceano, Mariline Mendes Silva, Jonatan Alvelid, Chiara Sgattoni, Andrea Volpato, Lea Rems, Luciano A. Masullo, Eduard M. Unterauer, Rafal Kowalewski, Lucie Delemotte, Erdinc Sezgin, Ralf Jungmann, Ilaria Testa   +13 more
wiley   +1 more source

Design of Single‐Atom Nanozymes for Precision Treatment of Erectile Dysfunction with Integrated Single‐Cell RNA Sequencing and Machine Learning

Advanced Science, EarlyView.
It is innovatively utilized single‐cell RNA sequencing to explore the underlying causes of diabetes mellitus‐induced erectile dysfunction, followed by machine learning‐driven design of a single‐atom nanozyme (Fe‐DMOF) for precision treatment of erectile dysfunction.
Xiang Zhou, Xi Zhang, Sihan Chen, Mengchi Yu, Yilan Hu, Chi Gan, Xianghu Meng, Long Li, Ninghong Song   +8 more
wiley   +1 more source

Ethical Precision in Nanoscale Brain Interfacing

Advanced Science, EarlyView.
As brain interfaces approach the nanoscale, precision no longer only measures—it knows, predicts, and potentially reshapes the mind. This work argues that traditional ethics fails under such conditions and proposes a shift toward continuous, operation‐based governance using the recovery–discovery framework to track, constrain, and responsibly steer ...
Guilherme Wood
wiley   +1 more source

Self‐Powered Bearing Sensing and Real‐Time Fault Diagnosis Enabled by Non‐Invasive Triboelectric Sensors and Edge AI Acceleration

Advanced Science, EarlyView.
This study achieves the synergistic integration of self‐powered sensing and edge AI acceleration to establish a real‐time fault diagnosis system. The proposed TENG‐based self‐powered bearing sensor (NSE‐TBS) and FPGA‐accelerated edge AI framework fundamentally break through the inherent limitations of conventional monitoring systems, including complex ...
Kehui Zhu, Zhongheng Liu, Xinming Li, Jinrui Zhang, Meng Li, Yiming Guo, Lihua Han, Yanxue Wang   +7 more
wiley   +1 more source

Probabilistic Norms for Linear Operators [PDF]

, 1998
We use the definition of probabilistic normed space (briefly, PN space) proposed by Alsina, Schweizer and Sklar and investigate the properties of different spaces of linear operators between PN spaces.
Sempi, Carlo, B. LAFUERZA GUILLEN, Rodrı́guez Lallena, José Antonio, J. A. RODRIGUEZ LALLENA, Lafuerza Guillén, Bernardo, Rodríguez-Lallena, José Antonio   +5 more
core   +1 more source

Data‐Driven Modeling of Composition–Processing–Microstructure Relations for Recycled Aluminum Cast Alloys

Advanced Science, EarlyView.
Interpretable machine learning reveals how composition and processing govern the formation and microstructural burden of Fe‐rich intermetallic compounds in recycled Al–Si–Fe–Mn alloys. By separating morphology selection from morphology‐conditioned burden partitioning, this framework shows that identical Fe contents can yield different intermetallic ...
Jaemin Wang, Waleed Mohammed, Dierk Raabe   +2 more
wiley   +1 more source

p-Best Approximation on Probabilistic Normed Spaces

American Journal of Applied Sciences, 2009
We studied the best approximation between two sets in probabilistic normed spaces. We defined the best approximation on these spaces and generalized some definitions such as set of best approximation, p-proximinal set and p-approximately compact relative to any set and proved some theorems about them.
S.M. Vaezpour, M. Shams, R. Saadati
openaire   +2 more sources

$\bar \lambda $-statistically convergent double sequences in probabilistic normed spaces

, 2011
The purpose of this paper is to introduce and study the concepts of double ??-statistically convergent and double ??-statistically Cauchy sequences in probabilistic normed space.
S. Mohiuddine, E. Savaş, Savaş, Ekrem, Mohiuddine, S.A.   +3 more
core   +1 more source