Results 71 to 80 of about 148,137 (283)

A generalization of m-topology and U-topology on rings of measurable functions

Applied General Topology
In this paper, we generalize  mμ and Uμ topologies on M ( X , A ) via an ideal I in the ring M ( X , A ) of all real-valued measurable functions. The collection LI∞ ( μ ) of all essentially I-bounded functions over the measure space (X,A,μ)$ and the ...
Soumyadip Acharyya, Rakesh Bharati, A. Deb Ray, Sudip Kumar Acharyya   +3 more
doaj   +1 more source

*-Topological properties

International Journal of Mathematics and Mathematical Sciences, 1990
An ideal on a set X is a nonempty collection of subsets of X closed under the operations of subset (heredity) and finite unions (additivity). Given a topological space (X,τ) an ideal ℐ on X and A⊆X, ψ(A) is defined as ⋃{U∈τ:U−A∈ℐ}. A topology, denoted τ*,
T. R. Hamlett, David Rose
doaj   +1 more source

On Characterizations of ∗-Hyperconnected Ideal Topological Spaces

Journal of Mathematics, 2020
In the present paper, some characterizations of ∗-hyperconnected ideal topological spaces are investigated. Moreover, we introduce the notion of S∗-ℐ-hyperconnected ideal topological spaces. Several characterizations of S∗-ℐ-hyperconnected ideal topological spaces are discussed.
openaire   +3 more sources

New distinguished classes of spectral spaces: a survey

, 2015
In the present survey paper, we present several new classes of Hochster's spectral spaces "occurring in nature", actually in multiplicative ideal theory, and not linked to or realized in an explicit way by prime spectra of rings.
A Grothendieck, A Okabe, C Chevalley, C Huneke, CA Finocchiaro, CA Finocchiaro, CA Finocchiaro, CA Finocchiaro, D Dobbs, D Dobbs, DD Anderson, DD Anderson, DF Anderson, J Huckaba, J-P Olivier, JC Vassilev, M Fontana, M Fontana, M Fontana, M Fontana, M Fontana, M Fontana, M Fontana, M Hochster, M Hochster, MF Atiyah, N Bourbaki, N Epstein, N Epstein, N Schwartz, O Heubo-Kwegna, O Zariski, O Zariski, P Maroscia, P-J Cahen, R Gilmer, T Jech, V Barucci, W Heinzer   +38 more
core   +1 more source

Artificial Intelligence as the Next Visionary in Liquid Crystal Research

Advanced Functional Materials, EarlyView.
The functions of AI in the research laboratory are becoming increasingly sophisticated, allowing the entire process of hypothesis formulation, material design, synthesis, experimental design, and reiterative testing to be automated. In our work, we conceive how the incorporation of AI in the laboratory environment will transform the role and ...
Mert O. Astam, Ouassim L'Karkouri, Danqing Liu   +2 more
wiley   +1 more source

Kannan Contraction Operator on the Domain of r.-Cesàro Matrix in ℓt. and Related Prequasi Ideal with an Application of Nonlinear Difference Equations

Journal of Function Spaces, 2021
In this article, the sequence space Ξr,tυ has been built by the domain of rl-Cesàro matrix in Nakano sequence space ℓtl, where t=tl and r=rl are sequences of positive reals with 1 ...
Awad A. Bakery, M. H. El Dewaik
doaj   +1 more source

The Cuttlebone Blueprint for Multifunctional Metamaterials: Design Taxonomy, Functional Decoupling, and Future Horizons

Advanced Functional Materials, EarlyView.
Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley   +1 more source

The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces

Open Mathematics, 2020
In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
doaj   +1 more source

Kannan Contraction Maps on the Space of Null Variable Exponent Second-Order Quantum Backward Difference Sequences of Fuzzy Functions and Its Pre-Quasi Ideal

Discrete Dynamics in Nature and Society, 2022
In this paper, we construct and investigate the space of null variable exponent second-order quantum backward difference sequences of fuzzy functions, which are crucial additions to the concept of modular spaces. The idealization of the mappings has been
Awad A. Bakery, OM Kalthum S. K. Mohamed
doaj   +1 more source

Omnipolar Magnetic Field Detection by Superlattice‐Based Hall Sensor

Advanced Functional Materials, EarlyView.
Magnetic‐field‐induced electronic switching is demonstrated in unit‐cell‐engineered La0.7Sr0.3MnO3–BiFeO3 superlattices. Distinct substrate terminations modify magnetic and transport properties. Hall resistance measurements show omnipolar, hysteretic anomalous Hall switching above the Curie temperature, arising from Fe─Mn interfacial exchange, enabling
Mark Huijben, Nicolas Gauquelin, Arno Annys, Zhaoliang Liao, Jo Verbeeck, Guus Rijnders, Gertjan Koster   +6 more
wiley   +1 more source