Results 101 to 110 of about 26,193 (159)
Algebraic and Turing Separability of Rings
A weak presentation of a countable field/ring \(F\) is an injective homomorphism from \(F\) into a field/ring whose universe is \(\mathbb{N}\) such that all the field/ring operations are translated by total recursive functions. Given two recursive integral domains \(R_1\) and \(R_2\) with quotient field \(F_1\) and \(F_2\) respectively, in this paper ...
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Separability in homotopical algebra
89 pages; v2: A mistake in section 4 was corrected (it does not affect the main example in this section); the following changes have also been made: the proof of theorem 2.15 was simplified; I have expanded upon the ind-separability of Lubin-Tate theories based on other perfect rings; and I have added an example of an applications of my ...
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At infinite separation, a diatomic molecule reduces to two noninteracting subsystems. The electron density decomposes into atomic densities, while the Rényi entropy functional reveals both additive atomic contributions and nonadditive terms. None of these terms contains any trace of the presence of static correlation effects, particularly important in ...
Diogo J. L. Rodrigues +2 more
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Euler‐Top Gaussian Modes: Structured Beams From Quadratic Angular Momentum Dynamics
A new family of structured Gaussian light beams are introduced: Euler‐top Gaussian modes. Their ray‐orbital paths on the Gaussian Poincaré sphere correspond to the polhodes of the Euler top in classical angular momentum theory. This geometric and algebraic construction reveals a nonseparable mode family extending the familiar Hermite‐, Laguerre‐ and ...
Mark R. Dennis, Kerr Maxwell
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Countable Basis for Free Electromagnetic Fields
ABSTRACT Polychromatic electromagnetic fields are expanded as integrals over monochromatic fields, such as plane waves, multipolar fields, or Bessel beams. However, monochromatic fields do not belong to the Hilbert space of free Maxwell fields, since their norms diverge.
Ivan Fernandez‐Corbaton
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Abstract ChatGPT and related technologies have revived an old issue in information science (IS) concerning information retrieval (IR) versus document retrieval. Since 1950, the term IR has primarily been used as a misnomer for document retrieval. This problematic terminology reflects a desire to go beyond documents and provide, in response to user ...
Birger Hjørland
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Representing matrices, M-ideals and tensor products of L1-predual spaces
Motivated by Bratteli diagrams of Approximately Finite Dimensional (AF) C* - algebras, we consider diagrammatic representations of separable L1 -predual spaces and show that, in analogy to a result in AF C* -algebra theory, in such spaces, every M-ideal ...
S. Dutta, Divya Khurana, A. Sensarma
doaj
ABSTRACT In the presence of competing events, many investigators are interested in a direct treatment effect on the event of interest that does not capture treatment effects on competing events. Classical survival analysis methods that treat competing events like censoring events, at best, target a controlled direct effect: the effect of the treatment ...
Takuya Kawahara +2 more
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A newly measured reference dataset for the temperature differential scattering signal of water, acquired at the DanMAX beamline of the MAX IV synchrotron, is presented.The X‐ray solution scattering from water S(Q)H2O depends on temperature and density, a phenomenon that is utilized in, for example, temperature‐resolved and ultrafast time‐resolved X‐ray
Lise G. Hanson +7 more
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Separation in topological algebras
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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