Results 21 to 30 of about 102,344 (170)
Analysis of constraints and their algebra in bimetric theory
We perform a canonical analysis of the bimetric theory in the metric formulation, computing the constraints and their algebra explicitly. In particular, we compute a secondary constraint, that has been argued to exist earlier, and show that it has the ...
S. F. Hassan, Anders Lundkvist
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This paper presents a new method to rank triangular fuzzy numbers as well as a new metric (triangular fuzzy metric) on the set of fuzzy points. This metric can be used in both studying fuzzy topological spaces and decision-making theory.
Mohammad A. Mahmoud Al-Amleh
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Theory of the norm-induced metric in atmospheric dynamics [PDF]
We suggest that some metrics for quantifying distances in phase space are based on linearized flows about unrealistic reference states and hence may not be applicable to atmospheric flows.
T.-Y. Koh, F. Wan
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Strongly nonlinear potential theory on metric spaces
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel regular outer measure, and we develop a capacity theory based on these spaces. We study basic properties of capacity and several convergence results.
Noureddine Aïssaoui
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Deformation techniques in metric critical point theory
We propose a synthetic and self-contained treatment of the main deformation results of critical point theory, for continuous functionals defined on metric spaces.
Corvellec Jean-Noël
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The cosmology of quadratic torsionful gravity
We study the cosmology of a quadratic metric-compatible torsionful gravity theory in the presence of a perfect hyperfluid. The gravitational action is an extension of the Einstein–Cartan theory given by the usual Einstein–Hilbert contribution plus all ...
Damianos Iosifidis, Lucrezia Ravera
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Metric theory of nematoelastic shells [PDF]
We consider three-dimensional reshaping of a thin nematoelastic film upon nematic-isotropic transition in the field of a charge one topological defect, leading to either cone or anticone (d-cone) shells. The analysis is based on the relation between the shell metric and the tensor order parameter under the assumption of no elastic deformation and ...
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Projective metric number theory [PDF]
Abstract In this paper we consider the probabilistic theory of Diophantine approximation in projective space over a completion of ℚ. Using the projective metric studied in [Ann. Sc. Norm. Super. Pisa Cl. Sci. (4) 23 (1996), no. 2, 211–248] we prove the analogue of Khintchine's theorem in projective space. For finite places and in higher
Ghosh, Anish, Haynes, Alan
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Information geometry in quantum field theory: lessons from simple examples
Motivated by the increasing connections between information theory and high-energy physics, particularly in the context of the AdS/CFT correspondence, we explore the information geometry associated to a variety of simple systems. By studying their Fisher
Johanna Erdmenger, Kevin T. Grosvenor, Ro Jefferson
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Causality in indefinite metric theories [PDF]
It has recently been claimed by Rechenberg and Sudarshan that theories with shadow states are consistent with macroscopic causality, even though they lack the normal physical-region analytic structure. This claim is based on a number of incorrect statements, which are here pointed out. These errors invalidate the claim.
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