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Stationary solutions to a hybrid viscous hydrodynamic model with classical boundaries
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Operational Meaning of Classical Fidelity and Path Length in Kubo–Mori–Bogoliubov Fisher Geometry
Published 2025-01-01“…In the classical limit, the Bhattacharyya fidelity is found to have a sharp operational meaning after eighty years.…”
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Performance survey of classic and Optic network‐on‐chip
Published 2021-07-01“…This article presents a survey and comparison between an optical link and classic one. Measurable metrics such as, power consumption, latency, throughput and noise effects which are the main parameters describing the quality of the data link to compare the quality of different systems for data transmission are theoretically investigated. …”
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Classical and quantum algorithms for many-body problems
Published 2025-01-01“…The many-body problem is central to many fields, such as condensed-matter physics and chemistry, but also to combinatorial optimization, which is nothing but a classical many-body problem. This manuscript, written as part of an Habilitation à Diriger des Recherches, presents the various algorithmic approaches, both classical and quantum, to solving this problem. …”
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QuantumNet: An enhanced diabetic retinopathy detection model using classical deep learning-quantum transfer learning
Published 2025-06-01“…The method is as follows: • Evaluate three classical deep learning models—CNN, ResNet50, and MobileNetV2—using the APTOS 2019 blindness detection dataset on Kaggle to identify the best-performing model for integration. • QuantumNet combines the best-performing classical DL model for feature extraction with a variational quantum classifier, leveraging quantum transfer learning for enhanced diagnostics, validated statistically and on Google Cirq using standard metrics. • QuantumNet achieves 94.11 % accuracy, surpassing classical DL models and prior research by 11.93 percentage points, demonstrating its potential for accurate, efficient DR detection and broader medical imaging applications.…”
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On Neutrosophic 2-Metric Spaces with Application
Published 2023-01-01“…Classical sets, fuzzy sets, intuitionistic fuzzy sets, and other sets are all generalized into the neutrosophic sets. …”
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Metric field as emergence of Hilbert space
Published 2025-02-01“…Accordingly, such an augmented Hilbert space includes quantum field theory in a general frame and can be considered as a fundamental concept instead of the classical metric field and the standard Hilbert space.…”
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Geometry of Hamiltonian Dynamics with Conformal Eisenhart Metric
Published 2011-01-01“…We characterize the geometry of the Hamiltonian dynamics with a conformal metric. After investigating the Eisenhart metric, we study the corresponding conformal metric and obtain the geometric structure of the classical Hamiltonian dynamics. …”
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Effective metric descriptions of quantum black holes
Published 2024-12-01“…Abstract In a recent work (Del Piano et al. in Phys Rev D 109(2):024045, 2024), we have described spherically symmetric and static quantum black holes as deformations of the classical Schwarzschild metric that depend on the physical distance to the horizon. …”
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From homogeneous metric spaces to Lie groups
Published 2024-11-01“…We study homogeneous metric spaces, by which we mean connected, locally compact metric spaces whose isometry group acts transitively.After a review of a number of classical results, we use the Gleason–Iwasawa–Montgomery–Yamabe–Zippin structure theory to show that for all positive $ \epsilon $, each such space is $ (1,\epsilon ) $-quasi-isometric to a connected metric Lie group (metrized with a left-invariant distance that is not necessarily Riemannian).Next, we develop the structure theory of Lie groups to show that every homogeneous metric manifold is homeomorphically roughly isometric to a quotient space of a connected amenable Lie group, and roughly isometric to a simply connected solvable metric Lie group.Third, we investigate solvable metric Lie groups in more detail, and expound on and extend work of Gordon and Wilson [31, 32] and Jablonski [44] on these, showing, for instance, that connected solvable Lie groups may be made isometric if and only if they have the same real-shadow.Finally, we show that homogeneous metric spaces that admit a metric dilation are all metric Lie groups with an automorphic dilation.…”
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Caristi’s Fixed Point Theorem in Cone Metric Space
Published 2022-01-01“…In this paper, we provide a short, comprehensive, and brief proof for Caristi-Kirk fixed point result for single and set-valued mappings in cone metric spaces. In addition, we partially addressed an open problem in which Caristi-Kirk fixed point result in cone metric spaces reduces to a classical result in metric spaces and provided a brief justification for a partial positive answer to this open problem using Caristi-Kirk fixed point theorem on uniform space. …”
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Fixed Point Results in Orthogonal Neutrosophic Metric Spaces
Published 2021-01-01“…Actually, the neutrosophic set is a generalization of the classical set, fuzzy set, and intuitionistic fuzzy set. …”
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POST-KEYNESIAN THEORY AND ITS CRITIQUE TO NEOCLASSICAL ECONOMICS
Published 2007-06-01Subjects: Get full text
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POST-KEYNESIAN THEORY AND ITS CRITIQUE TO NEOCLASSICAL ECONOMICS
Published 2007-06-01Subjects: “…Post-Keynesyen Teori…”
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Restrictive metric regularity and generalized differential calculus in Banach spaces
Published 2004-01-01“…Some sufficient as well as necessary and sufficient conditions for restrictive metric regularity are obtained, which particularly include an extension of the classical Lyusternik-Graves theorem in the case when f is strictly differentiable at x¯ but its strict derivative ∇f(x¯) is not surjective. …”
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Lorentz violation alleviates gravitationally induced entanglement degradation
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