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Information theory for hypergraph similarity. [PDF]
Felippe H, Kirkley A, Battiston F.
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Multiplicity results for Schrodinger type fractional p-Laplacian boundary value problems
Emer Lopera +2 more
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A comparison principle for minimizers
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2000The authors present conditions for the validity of a comparison principle, which do not require the validity of the Euler-Lagrange equation. They derive a weak maximum principle even for some degenerate elliptic equation and prove Lipschitz continuity of minimizers under a variant of the bounded slope condition.
MARICONDA, CARLO, TREU, GIULIA
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A Comparison of anonymization protection principles
2012 IEEE 13th International Conference on Information Reuse & Integration (IRI), 2012We do a survey of some of the most important principles of anonymization present in the literature. We identify different kinds of attacks that can be thrown against an anonymized dataset and give formulas for the maximum probability of success for each.
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Model abstraction and inclusion principle: a comparison
IEEE Transactions on Automatic Control, 2002This paper discusses connections between the inclusion principle and model abstraction in large-scale hierarchical control systems. It also provides conditions for implementation of controllability and observability in linear continuous-time dynamic systems satisfying either aggregation or restriction conditions, as well as for observability ...
Srdjan S. Stankovic, Dragoslav D. Siljak
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Maximum and Comparison Principles
1977The purpose of this chapter is to provide various maximum and comparison principles for quasilinear equations which extend corresponding results in Chapter 3. We consider second order, quasilinear operators Q of the form (10.1) Qu = aij(x, u, Du)Diju + b(x, u, Du), aij = aji, where x = (x1..., xn) is contained in a domain Ω of ℝn, n ≥ 2, and, unless ...
David Gilbarg, Neil S. Trudinger
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On comparison principles for the periodic Hill's equation
Journal of the London Mathematical Society, 2012In this work we make an exhaustive study of the properties of the Green’s function related to the periodic boundary value problem La x ≡ x′′ + a(t) x = 0, x(0) = x(T ), x′(0) = x′(T ), with a sign-changing potential a(t). Moreover, we obtain new explicit criteria that ensures the maximum or antimaximum principle holds for this equation.
Alberto Cabada, José Ángel Cid
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