Results 31 to 40 of about 328 (209)
Nuclearity and ${\mathrm {CPC}^*}$ -Systems
We write arbitrary separable nuclear $\mathrm {C}^*$ -algebras as limits of inductive systems of finite-dimensional $\mathrm {C}^*$ -algebras with completely positive connecting maps. The characteristic feature of such ${\mathrm {CPC}^*}$
Kristin Courtney, Wilhelm Winter
doaj +1 more source
Separable subalgebras of a class of Azumaya algebras
Let S be a ring with 1, C the center of S, G a finite automorphism group of S of order n invertible in S, and SG the subnng of elements of S fixed under each element in G. It is shown that the skew group ring S*G is a G′-Galois extension of (S*G)G′ that
George Szeto
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An exciting Approach to Theoretical Spectroscopy
ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno +29 more
wiley +1 more source
Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements
We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice effect algebras.
Zdenka Riecanová
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Compact Hermitian operators on projective tensor products of Banach algebras
Let U and V be, respectively, an infinite- and a finite-dimensional complex Banach algebras, and let U⊗pV be their projective tensor product. We prove that (i) every compact Hermitian operator T1 on U gives rise to a compact Hermitian operator T on U⊗pV
T. K. Dutta, H. K. Nath, H. K. Sarmah
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Completely Separating Algebras
An algebra \(A\) is called completely separating if every convex subalgebra of \(A\) satisfies the so-called (s)-condition [see \textit{R. Bautista} and \textit{F. Larrión}, J. Lond. Math. Soc., III. Ser. 264, 43-52 (1982; Zbl 0501.16030)]. The aim of this paper is to present the basic properties and characterization of completely separating algebras ...
openaire +2 more sources
Exact Discrete Stochastic Simulation With Deep‐Learning‐Scale Gradient Optimization
A 203,796‐parameter gene regulatory network classifies handwritten digits with 98.4% accuracy using exact stochastic dynamics. The framework decouples forward simulation from backward differentiation, making continuous‐time Markov chain models compatible with deep‐learning optimization.
Jose M. G. Vilar, Leonor Saiz
wiley +1 more source
ABSTRACT Hybrid modeling combines first‐principles equations with a data‐driven subcomponent. Training for the data‐driven part is sensitive to measurement noise when training targets are constructed using pointwise time derivatives. Beyond differentiation errors, hybrid models involve solving an inverse problem to estimate the data‐driven term, which ...
Hangjun Cho +4 more
wiley +1 more source
On central commutator Galois extensions of rings
Let B be a ring with 1, G a finite automorphism group of B of order n for some integer n, BG the set of elements in B fixed under each element in G, and Δ=VB(BG) the commutator subring of BG in B.
George Szeto, Lianyong Xue
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Pre‐Curved Everting Robots With Embedded Steering Intelligence Fabricated by CO2 Laser Welding
Design and experimental demonstration of a laser welded growing robot for anatomically guided navigation. The robot follows an aortic arch phantom entering the branchiocephalic branch through steering by design. The figure shows the physical phantom setup, CAD defined weld geometry and full robot eversion.
Brandon Saldarriaga +5 more
wiley +1 more source

