Results 61 to 70 of about 326,660 (252)
On isomorphisms and hyper-reflexivity of closed subspace lattices
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
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Equivalence of helicity and Euclidean self-duality for gauge fields
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
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Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control. [PDF]
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
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Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
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
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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
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Combinatorics of symplectic invariant tensors [PDF]
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
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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]
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
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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
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A note on invariant subspaces.
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)]
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