Results 71 to 80 of about 1,589,926 (279)

\(\mathcal{I}\)-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCES IN MEASURE

Ural Mathematical Journal
The main aim of this paper is to present and explore some of properties of the concept of \(\mathcal{I}\)-statistical convergence in measure of complex uncertain sequences.
Amit Halder, Shyamal Debnath
doaj   +1 more source

New Fuzzy Normed Spaces

مجلة بغداد للعلوم, 2012
In this paper the research introduces a new definition of a fuzzy normed space then the related concepts such as fuzzy continuous, convergence of sequence of fuzzy points and Cauchy sequence of fuzzy points are discussed in details.
Baghdad Science Journal
doaj   +1 more source

Lacunary ℐ-Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces

Journal of Mathematics, 2021
The concepts of invariant convergence, invariant statistical convergence, lacunary invariant convergence, and lacunary invariant statistical convergence for set sequences were introduced by Pancaroğlu and Nuray (2013).
Mualla Birgül Huban
doaj   +1 more source

Sustainable Materials Design With Multi‐Modal Artificial Intelligence

Advanced Science, EarlyView.
Critical mineral scarcity, high embodied carbon, and persistent pollution from materials processing intensify the need for sustainable materials design. This review frames the problem as multi‐objective optimization under heterogeneous, high‐dimensional evidence and highlights multi‐modal AI as an enabling pathway.
Tianyi Xu, Tianshuo Wei, Yan Ge, Bo Peng, Yue Li, Maolin Wang, Peng Wen, Chao Yang, Ye Wei   +8 more
wiley   +1 more source

Efficient Polarization‐Entangled Photon‐Pair Generation by a Fiber‐In‐Line van der Waals Material

Advanced Science, EarlyView.
Telecom‐wavelength polarization‐entangled photon pairs are generated in a van der Waals‐material‐integrated all‐fiber device via spontaneous parametric down‐conversion. The demonstrated fiberized quantum light source bridges emerging 2D nonlinear materials and practical quantum photonic systems, opening new opportunities for scalable fiber‐based ...
Jungseok Choi, Seongju Ha, Seungjae Lim, Joohyeon Ahn, Jaekyoung Kim, Jong Hyuk Yim, Nam Hun Park, Youngdong Yoo, Jae‐Ung Lee, Hee Su Park, Sang Min Lee, Dong‐Il Yeom   +11 more
wiley   +1 more source

On deferred statistical convergence in fuzzy normed linear spaces [PDF]

Journal of Fuzzy Extension and Applications
In this paper, we introduce the notions of deferred statistically convergent sequence and deferred statistically Cauchy sequence in a fuzzy normed linear space(FNS) and establish some basic facts.
Shyamal Debnath, Santonu Debnath
doaj   +1 more source

Infinitesimals via Cauchy sequences: Refining the classical equivalence

Open Mathematics, 2021
A refinement of the classic equivalence relation among Cauchy sequences yields a useful infinitesimal-enriched number system. Such an approach can be seen as formalizing Cauchy’s sentiment that a null sequence “becomes” an infinitesimal.
Bottazzi Emanuele, Katz Mikhail G.
doaj   +1 more source

Quantifying Structure‐Dependent Rigidity of 3D DNA Origami Boxes

Advanced Intelligent Systems, EarlyView.
We investigate the mechanical stability of a hollow 3D DNA origami box during assembly using liquid AFM imaging and finite element simulations. As structural completeness increases from flat sheets through intermediate assemblies to a closed box, rigidity improves.
Judith Zubia‐Aranburu, Reza Zadegan, Jens Vinge Nygaard, Jørgen Kjems, Ramesh Subramani, Mingdong Dong   +5 more
wiley   +1 more source

Residual Strength Prediction of Chemically Reactive Two‐Phase Nanofluid Flow in a Bingham–Papanastasiou Rheological Theory Using a Morlet‐Based Wavelet Neural Network Approach

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The behavior of nanofluid flow involving a zero‐mass flux condition has received considerable interest because of a realistic scenario. In reality, this condition confines the optimistic accumulation or disappearance of nanoparticles past a sheet, constructing a more physically realistic demonstration through several applications, such as heat
Umair Khan, Hamza Rauf, Aurang Zaib, J. K. Madhukesh   +3 more
wiley   +1 more source

Some fixed point theorems of rational type contraction in b-metric spaces

Moroccan Journal of Pure and Applied Analysis, 2021
In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U.
Seddik Merdaci, Taieb Hamaizia
doaj   +1 more source