Results 61 to 70 of about 571,455 (206)
New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces
Abstract and Applied Analysis, 2013 Let be a nonempty subset of a Hausdorff topological vector space , and let be a real-valued continuous function on . If for each , there exists such that , then is called -simultaneously proximal and is called -best simultaneous approximation for ...
Mahmoud Rawashdeh, Sarah Khalil
doaj +1 more source
$\mathfrak G$-bases in free (locally convex) topological vector spaces [PDF]
arXiv, 2016 We characterize topological (and uniform) spaces whose free (locally convex) topological vector spaces have a local $\mathfrak G$-base. A topological space $X$ has a local $\mathfrak G$-base if every point $x$ of $X$ has a neighborhood base $(U_\alpha)_{\alpha\in\omega^\omega}$ such that $U_\beta\subset U_\alpha$ for all $\alpha\le\beta$ in $\omega ...
arxiv
Advancement in Colloidal Metasurfaces: Approaches for Scalable Photonic Devices
Advanced Materials Interfaces, EarlyView.This perspective explores colloidal metasurfaces composed of plasmonic and emitting nanoparticles assembled by laser interference lithography and template‐assisted self‐assembly methods. Precise design strategies achieve directional emission, low‐threshold lasing, and tunable photonic bandgaps.
Sezer Seçkin +2 more
wiley +1 more source
Advanced Materials Technologies, EarlyView.The robust electrochemical sustainability of additively manufactured high‐performance nanocomposites is substantially dependent on overcoming material selection, process optimization, operational scalability, and design flexibility challenges. Integrating transition metal dichalcogenides into metal‐matrix composites, laser powder bed fusion directly ...
Navid Alinejadian +3 more
wiley +1 more source
Generalization of a Real-Analysis Result to a Class of Topological Vector Spaces [PDF]
arXiv, 2018 In this paper, we generalize an elementary real-analysis result to a class of topological vector spaces. We also give an example of a topological vector space to which the result cannot be generalized.
arxiv
Advanced Optical Materials, EarlyView.Light impinging from the left on a metasurface composed by active material. The metasurface shows asymmetric configuration through the non‐uniform presence of holes. The forming quasi‐BICs modes are exploited for lasing purposes. Abstract It is proposed and numerically demonstrated a novel strategy to achieve lasing generation from a dual‐band symmetry‐
Tao Wang +3 more
wiley +1 more source
Advanced Photonics Research, EarlyView.A liquid crystal of twisted nematic mode on a plasmonic antenna metasurface device modulates complex reflectivity with a small voltage variation of 3.1 V on the antenna electrode and 2.5 V on the metal electrode. The largest complex modulation is at a wavelength of 660 nm with phase and reflectivity amplitude modulations of 0–2π radian and 0.3 and 0.6,
Yong‐Hae Kim +8 more
wiley +1 more source
Advanced Photonics Research, EarlyView.A novel free‐space optical communication protocol that combines the benefits of partially coherent light sources with the decoding capabilities of convolutional neural networks is proposed. This approach establishes a robust communication link that can withstand atmospheric turbulence.
Linxuan Yao +6 more
wiley +1 more source
Nonsmooth analysis and optimization on partially ordered vector spaces
International Journal of Mathematics and Mathematical Sciences, 1992 Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
doaj +1 more source
A description of the topology of free topological vector spaces [PDF]
arXiv, 2018 The free topological vector space (tvs) $\mathbb{V}(X)$ over a Tychonoff space $X$ is defined and studied by Sidney A. Morris and the author in [2]. A description of the topology of the free tvs $\mathbb{V}(X)$ over a uniform space $X$ is given in [1].
arxiv