Results 61 to 70 of about 326,660 (252)

On isomorphisms and hyper-reflexivity of closed subspace lattices

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
There are some papers, such as [1], [2] and [3], in which some properties on isomorphism of closed subspace lattices of Hilbert spaces were studied. In this short paper we will point out that the hyper-reflexivity of closed subspace lattice is invariant ...
Han Deguang
doaj   +1 more source

Equivalence of helicity and Euclidean self-duality for gauge fields

open access: yesNuclear Physics B, 2019
In the canonical formalism for the free electromagnetic field a solution to Maxwell's equations is customarily identified with its initial gauge potential (in Coulomb gauge) and initial electric field, which together determine a point in phase space. The
Leonard Gross
doaj   +1 more source

Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control. [PDF]

open access: yesPLoS ONE, 2016
In this wIn this work, we explore finite-dimensional linear representations of nonlinear dynamical systems by restricting the Koopman operator to an invariant subspace spanned by specially chosen observable functions.
Steven L Brunton   +3 more
doaj   +1 more source

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

open access: yesAdvanced 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

Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation

open access: yesInternational Journal of Differential Equations, 2016
We investigate the symmetry properties of a variable coefficient space-time fractional potential Burgers’ equation. Fractional Lie symmetries and corresponding infinitesimal generators are obtained.
Manoj Gaur, K. Singh
doaj   +1 more source

Combinatorics of symplectic invariant tensors [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
An important problem from invariant theory is to describe the subspace of a tensor power of a representation invariant under the action of the group. According to Weyl's classic, the first main (later: 'fundamental') theorem of invariant theory states ...
Martin Rubey, Bruce W. Westbury
doaj   +1 more source

Coexisting Volatile and Nonvolatile Switching in 3D ALD‐IGZO Vertical RRAM for Fully Hardware‐Based Wide Reservoir Computing

open access: yesAdvanced Science, EarlyView.
A conformal ALD‐IGZO vertical RRAM integrates volatile and nonvolatile switching within a compact 2F architecture. Before forming, tunable volatile dynamics provide fading‐memory reservoir states, while after forming, stable multilevel conductance modulation enables hardware readout.
Seeun Lee   +6 more
wiley   +1 more source

GLRT-Based Direction Detectors in Homogeneous Noise and Subspace Interference [PDF]

open access: yes, 2007
In this paper, we derive and assess decision schemes to discriminate, resorting to an array of sensors, between the H0 hypothesis that data under test contain disturbance only (i.e., noise plus interference) and the H1 hypothesis that they also contain ...
Ricci, Giuseppe   +12 more
core   +2 more sources

Machine Learning‐Driven Design of Multicomponent Bone Inorganic Matrix Mimicking Scaffolds for Osteogenesis Enhanced by Neurogenesis

open access: yesAdvanced Science, EarlyView.
Schematic illustration of development of experimental datasets and algorithm models, screening and preparation of the scaffolds and their applications in vivo. ABSTRACT Bone defects require materials with osteogenic, neurogenic, and angiogenic activity, yet designing such materials within high‐dimensional compositional spaces remains challenging. Here,
Kunlu Lin   +9 more
wiley   +1 more source

A note on invariant subspaces.

open access: yesMichigan Mathematical Journal, 1970
For the review see the scanned page Addendum: The author points out in a note added in proof, that the second theorem was proved by \textit{K.-H. Körber} [Math. Ann. 182, 95--103 (1969; Zbl 0181.14002)]
openaire   +2 more sources

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