Results 61 to 70 of about 133,611 (249)

Abel statistical quasi Cauchy sequences

Filomat, 2019
In this paper, we investigate the concept of Abel statistical quasi Cauchy sequences. A real function f is called Abel statistically ward continuous if it preserves Abel statistical quasi Cauchy sequences, where a sequence (?k) of point in R is called Abel statistically quasi Cauchy if limx?1-(1-x) ?k:|??k|?? xk = 0 for every ?
openaire   +3 more sources

Mappings that preserve Cauchy sequences [PDF]

Časopis pro pěstování matematiky, 1988
Given metric spaces X and Y, denote by C(X,Y), U(X,Y) and F(X,Y) the set of all continuous, uniformly continuous and Cauchy-sequence-preserving maps from X to Y, respectively. It is known that U(X,Y)\(\subseteq F(X,Y)\subset C(X,Y)\) and the author studies the question, when equality holds. For the following assume that Y is a non-trivial normed space:
openaire   +2 more sources

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

\(\mathcal{I}\)-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

Variations on quasi-Cauchy sequences

Filomat, 2015
In this paper, we introduce and study new kinds of continuities. It turns out that a function f defined on an interval is uniformly continuous if and only if there exists a positive integer p such that f preserves p-quasi-Cauchy sequences where a sequence (xn) is called p-quasi-Cauchy if the sequence of differences between p-successive ...
openaire   +3 more sources

A Physics Constrained Machine Learning Pipeline for Young's Modulus Prediction in Multimaterial Hyperelastic Cylinders Guided by Contact Mechanics

Advanced Intelligent Discovery, EarlyView.
A physics‐guided machine learning framework estimates Young's modulus in multilayered multimaterial hyperelastic cylinders using contact mechanics. A semiempirical stiffness law is embedded into a custom neural network, ensuring physically consistent predictions. Validation against experimental and numerical data on C.
Christoforos Rekatsinas, Panagiotis Krokidas, Vasileios Vavourakis, Clara Essmann, George Giannakopoulos   +4 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

Optimization of 3D‐Printed Structured Packings—Current State and Future Developments

Chemie Ingenieur Technik, EarlyView.
This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke, Sebastian Blauth, Christian Leithäuser, Thomas Grützner   +3 more
wiley   +1 more source

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source