Results 61 to 70 of about 1,233,552 (279)
Advanced Science, EarlyView.NeuroSuite provides a modular hardware‐software platform integrating Neuroweb and NeuroMaps to enable long‐term, in situ electrophysiological interrogation of air–liquid interface organoid slices while preserving tissue architecture. Its components can be used together or independently to capture real‐time activity, spatial network dynamics, and ...
Belquis Haider +14 more
wiley +1 more source
Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
Advanced Science, EarlyView.A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang +14 more
wiley +1 more source
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
Green's Functions of Non‐Hermitian Systems at Exceptional Deficiency
Advanced Science, EarlyView.We analyze the responses of a non‐Hermitian lattice system under the condition of exceptional deficiency (ED), when all bands in the system are formed by exceptional points. Using the frequency domain, we identify novel steady‐state responses that root in the broadband super‐Lorentzian Green's function (GF).
Congwei Lu, Guancong Ma
wiley +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 +3 more
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Communications in Mathematical Physics, 2000 The basic mathematical framework for super Hilbert spaces over a Grassmann algebra with a Grassmann number-valued inner product is formulated. Super Hilbert spaces over infinitely generated Grassmann algebras arise in the functional Schroedinger representation of spinor quantum field theory in a natural way.
openaire +3 more sources
Advanced Science, EarlyView.ABSTRACT Beta‐amyloid peptide (Aβ)‐induced suppression of hippocampal GABAergic interneuron activity drives hyperexcitability, amyloid pathology, and cognitive impairment in Alzheimer's disease (AD), suggesting that enhancing hippocampal inhibition may be protective.
Rahmi Lee +3 more
wiley +1 more source
Advances in Josephson Junction Materials and Processes Toward Practical Quantum Computing
Advanced Science, EarlyView.Emerging materials for quantum computing, including crystalline materials, two‐dimensional van der Waals materials, two‐dimensional electron gas systems, ferromagnets, and unconventional (e.g., d‐wave) superconductors, offer opportunities to engineer next‐generation Josephson junctions.
Hyunseong Kim +11 more
wiley +1 more source
ON A GENERALIZATION OF THE HILBERT SPACE
Demonstratio Mathematica, 1989 We give a certain generalization of Hilbert space using for this purpose the properties of the Mikusiński space and the space normed by elements belonging to the cone of the Mikusiński space. We give some examples of generalized unitary spaces and Hilbert spaces and applications of these spaces in the Bittner operational calculus.
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Compressed Sensing in Hilbert Spaces [PDF]
, 2017 In many linear inverse problems, we want to estimate an unknown vector belonging to a high-dimensional (or infinite-dimensional) space from few linear measurements. To overcome the ill-posed nature of such problems, we use a low-dimension assumption on the unknown vector: it belongs to a low-dimensional model set. The question of whether it is possible
Traonmilin, Yann +3 more
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