Results 31 to 40 of about 4,792,820 (293)
Flows in Infinite-Dimensional Phase Space Equipped with a Finitely-Additive Invariant Measure
Mathematics, 2023 Finitely-additive measures invariant to the action of some groups on a separable infinitedimensional real Hilbert space are constructed. The invariantness of a measure is studied with respect to the group of shifts on a vector of Hilbert space, the ...
Vsevolod Zh. Sakbaev
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Hilbert space representation of the minimal length uncertainty relation. [PDF]
Physical Review D, Particles and fields, 1994 The existence of a minimal observable length has long been suggested in quantum gravity as well as in string theory. In this context a generalized uncertainty relation has been derived which quantum theoretically describes the minimal length as a minimal
Achim Kempf, G. Mangano, R. Mann
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Reproducing Kernel Hilbert Space vs. Frame Estimates
Mathematics, 2015 We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω .
Palle E. T. Jorgensen, Myung-Sin Song
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The Hilbert Space of Quantum Gravity Is Locally Finite-Dimensional [PDF]
, 2017 We argue in a model-independent way that the Hilbert space of quantum gravity is locally finite-dimensional. In other words, the density operator describing the state corresponding to a small region of space, when such a notion makes sense, is defined on
N. Bao, S. Carroll, Ashmeet Singh
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The space of twisted cubics [PDF]
Épijournal de Géométrie Algébrique, 2021 We consider the Cohen-Macaulay compactification of the space of twisted cubics in projective n-space. This compactification is the fine moduli scheme representing the functor of CM-curves with Hilbert polynomial 3t+1. We show that the moduli scheme of CM-
Katharina Heinrich +2 more
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Shape Transformation Approaches for Fluid Dynamic Optimization
Aerospace, 2023 The contribution is devoted to combined shape- and mesh-update strategies for parameter-free (CAD-free) shape optimization methods. Three different strategies to translate the shape sensitivities computed by adjoint shape optimization procedures into ...
Peter Marvin Müller +2 more
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Learning an Invariant Hilbert Space for Domain Adaptation [PDF]
Computer Vision and Pattern Recognition, 2016 This paper introduces a learning scheme to construct a Hilbert space (i.e., a vector space along its inner product) to address both unsupervised and semi-supervised domain adaptation problems.
Samitha Herath +2 more
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Functional data analysis for density functions by transformation to a Hilbert space [PDF]
, 2016 Functional data that are nonnegative and have a constrained integral can be considered as samples of one-dimensional density functions. Such data are ubiquitous.
Alexander Petersen, H. Muller
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Ergodicity probes: using time-fluctuations to measure the Hilbert space dimension [PDF]
Quantum, 2019 Quantum devices, such as quantum simulators, quantum annealers, and quantum computers, may be exploited to solve problems beyond what is tractable with classical computers. This may be achieved as the Hilbert space available to perform such `calculations'
Charlie Nation, Diego Porras
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Synthetic Hilbert Space Engineering of Molecular Qudits: Isotopologue Chemistry
Advances in Materials, 2019 One of the most ambitious technological goals is the development of devices working under the laws of quantum mechanics. Among others, an important challenge to be resolved on the way to such breakthrough technology concerns the scalability of the ...
W. Wernsdorfer, M. Ruben
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