Results 31 to 40 of about 5,599 (234)

On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping

Journal of Function Spaces, 2016
The concept of b-frame which is a generalization of the frame in Hilbert spaces generated by the bilinear mapping is considered. b-frame operator is defined; analogues of some well-known results of frame theory are obtained in Hilbert spaces.
Migdad Ismailov, Fatima Guliyeva, Yusif Nasibov   +2 more
doaj   +1 more source

Woven Frames in Quaternionic Hilbert Spaces

Journal of Mathematics, 2021
In this paper, we introduce and study woven frames in quaternionic Hilbert spaces. We also give some properties of woven frames and give some conditions on family of frames under which it is woven in quaternionic Hilbert spaces.
S. K. Sharma, Nitin Sharma, Khole Timothy Poumai   +2 more
doaj   +1 more source

Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities

Journal of Mathematics, 2021
In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding ...
Danfeng Wu, Li-Jun Zhu, Zhuang Shan, Tzu-Chien Yin   +3 more
doaj   +1 more source

Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces

Journal of Function Spaces and Applications, 2012
This paper presents a generalization of the concept and uses of projected dynamical systems to the case of nonpivot Hilbert spaces. These are Hilbert spaces in which the topological dual space is not identified with the base space.
Monica Gabriela Cojocaru, Stephane Pia
doaj   +1 more source

Some Remarks on Smooth Mappings of Hilbert and Banach Spaces and Their Local Convexity Property

Axioms
We analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radii of the balls are small enough.
Yarema A. Prykarpatskyy, Petro Ya. Pukach, Myroslava I. Vovk, Michal Greguš   +3 more
doaj   +1 more source

Patterning the Void: Combining L‐Systems with Archimedean Tessellations as a Perspective for Tissue Engineering Scaffolds

Advanced Functional Materials, EarlyView.
This study introduces a novel multi‐scale scaffold design using L‐fractals arranged in Archimedean tessellations for tissue regeneration. Despite similar porosity, tiles display vastly different tensile responses (1–100 MPa) and deformation modes. In vitro experiments with hMSCs show geometry‐dependent growth and activity. Over 55 000 tile combinations
Maria Kalogeropoulou, Kenny A. van Kampen, Pierpaolo Fucile, Carlos Mota, Lorenzo Moroni   +4 more
wiley   +1 more source

g-Bases in Hilbert Spaces

Abstract and Applied Analysis, 2012
The concept of g-basis in Hilbert spaces is introduced, which generalizes Schauder basis in Hilbert spaces. Some results about g-bases are proved. In particular, we characterize the g-bases and g-orthonormal bases. And the dual g-bases are also discussed.
Xunxiang Guo
doaj   +1 more source

Isotopically Selected Co‐Doping of 121Sb and 123Sb Pairs in Silicon

Advanced Materials, EarlyView.
Pairs of 121Sb and 123Sb atoms are doped into silicon using single cluster implantation and found to reside substitutionally within the crystal lattice due to self‐annealing with a Sb‐to Sb separation of ≈2 nm. Molecular dynamics simulations reproduce the observed experimental results and single ion cluster detection efficiencies of 94% are ...
Mason Adshead, Maddison Coke, Evan Tillotson, Tomas F Bouvier, Artem Mkrtychyan, Kexue Li, Sam Sullivan‐Allsop, Ricardo Egoavil, William Thornley, Yi Cui, Christopher M. Gourlay, Katie L Moore, Flyura Djurabekova, Sarah J Haigh, Richard J Curry   +14 more
wiley   +1 more source

A Wearable Brain–Computer Interface for Mitigating Car Sickness via Attention Shifting

Advanced Science, EarlyView.
Car sickness poses a major challenge in vehicular travel, yet effective nonpharmacological solutions are scarce. We developed a wearable, closed‐loop mindfulness BCI that uses real‐time EEG‐based neurofeedback to shift attention away from motion‐induced discomfort. Validated in real‐car experiments involving >100$>100$ susceptible individuals, over 83%
Jiawei Zhu, Xiaoyu Bao, Qiyun Huang, Tao Wang, Li Huang, Haiyun Huang, Junbiao Zhu, Jun Qu, Kendi Li, Di Chen, Ya Jiang, Kailin Xu, Zijian Wang, Wei Wu, Yuanqing Li   +14 more
wiley   +1 more source

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source