Results 11 to 20 of about 13,736,700 (344)
Twisted Hypersurfaces in Euclidean 5-Space
Mathematics, 2023 The twisted hypersurfaces x with the (0,0,0,0,1) rotating axis in five-dimensional Euclidean space E5 is considered. The fundamental forms, the Gauss map, and the shape operator of x are calculated.
Yanlin Li, Erhan Güler
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Modelling of AGM-style doxastic operations in three-valued setting
CTE Workshop Proceedings, 2023 The goal of our work is to show how a theoretical approach to modeling of reasoning can be analyzed to identify controversial issues that reveal prospects for further research.
Nadiia P. Kozachenko
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Causality constraints on nonlinear supersymmetry
Journal of High Energy Physics, 2022 It is well-known that gravitino propagation in standard supergravities is free of any causality problems. However, two issues related to gravitino propagation were recently uncovered in specific supergravities with nonlinear supersymmetry.
Quentin Bonnefoy +2 more
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An Inequality Approach to Approximate Solutions of Set Optimization Problems in Real Linear Spaces [PDF]
, 2020 This paper explores new notions of approximate minimality in set optimization using a set approach. We propose characterizations of several approximate minimal elements of families of sets in real linear spaces by means of general functionals, which can ...
Köbis, Elisabeth +2 more
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O-minimality and certain atypical intersections [PDF]
, 2014 We show that the strategy of point counting in o-minimal structures can be applied to various problems on unlikely intersections that go beyond the conjectures of Manin-Mumford and Andr\'e-Oort. We verify the so-called Zilber-Pink Conjecture in a product
P. Habegger, J. Pila
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Singular Minimization Problems
Journal of Differential Equations, 2000 It is considered the existence of ground state solutions of the following two degenerate elliptic equations on \({\mathbb{R}}^N\): \[ -\text{div} (|x|^{-2a} \nabla u)=|x|^{-bp} |u|^{p-2} u, \quad x\in{\mathbb{R}}^N, \] and \[ -\text{div} (|x|^{-2a} \nabla u)+\lambda |x|^{-2(1+a)} u = |x|^{-bp} |u|^{p-2} u,\quad x\in{\mathbb{R}}^N, \] where \(N\geq 3, 0\
Wang, Z.-Q., Willem, M.
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A Minty variational principle for set optimization [PDF]
, 2014 Extremal problems are studied involving an objective function with values in (order) complete lattices of sets generated by so called set relations.
Crespi, Giovanni P. +2 more
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Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies [PDF]
Communications in Mathematical Physics, 2014 We obtain a sharp quantitative isoperimetric inequality for nonlocal s-perimeters, uniform with respect to s bounded away from 0. This allows us to address local and global minimality properties of balls with respect to the volume-constrained ...
A. Figalli +4 more
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N-bit Parity Neural Networks with minimum number of threshold neurons
Open Engineering, 2016 In this paper ordered neural networks for the Nbit parity function containing [log2(N + 1)] threshold elements are constructed. The minimality of this network is proved. The connection between minimum perceptrons of Gamb for the N-bit parity function and
Arslanov Marat Z. +2 more
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Root's barrier, viscosity solutions of obstacle problems and reflected FBSDEs [PDF]
, 2013 We revisit work of Rost (1976), Dupire (2005) and Cox–Wang (2013) on connections between Root’s solution of the Skorokhod embedding problem and obstacle problems.
Paul Gassiat, Harald Oberhauser, G. Reis
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