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On the Discovery of Relaxed Functional Dependencies
Proceedings of the 20th International Database Engineering & Applications Symposium on - IDEAS '16, 2016Functional dependencies (fds) express important relationships among data, which can be used for several goals, including schema normalization and data cleansing. However, to solve several issues in emerging application domains, such as the identification of data inconsistencies or patterns of semantically related data, it has been necessary to relax ...
CARUCCIO, LOREDANA +2 more
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SIAM Journal on Control, 1967
Mathematical control theory problems involving solutions of certain partial differential equations, nonadditive set functions, or other functionals - approximation and existence ...
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Mathematical control theory problems involving solutions of certain partial differential equations, nonadditive set functions, or other functionals - approximation and existence ...
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A relaxation function with distribution of relaxation times
Physics Letters A, 1970Abstract A dispersion function based on mixed second order kinetics is interpreted as a linear dispersion system with infinite many relaxators explicitly given.
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A remark on relaxation of integral functionals
Nonlinear Analysis: Theory, Methods & Applications, 1991The paper under review concerns the calculation of the relaxed functional \(F(u)=\int_ \Omega f(\nabla u)dx\) with \(u\in W^{1,p}(\Omega; \mathbb{R}^ 2)\), \(2\leq ...
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Viscoelastic relaxation functions compatible with thermodynamics
Journal of Elasticity, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mauro Fabrizio, MORRO, ANGELO
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Relaxation of some functionals of the calculus of variations
Archiv der Mathematik, 1995In this note we compute the relaxed energy for a class of functionals defined on the set of \((n+ p)\times n\) matrices and give some applications in particular for the Saint-Venant-Kirchhoff energy density.
Bousselsal, M, Chipot, M
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Further inequalities for viscoelastic relaxation functions
Mechanics Research Communications, 1995The constitutive equation of a linear viscoelastic solid \(T(t)= G_0 E(t)+ \int^\infty_0 G' (\tau) E(t- \tau) d\tau\) and of a viscoelastic fluid \(T(t)= -p(\rho (t)) 1+\int^\infty_0 {\mathcal G} (\tau) D(t- \tau) d\tau\) are considered. Here \(T\in \text{Sym}\) is the Cauchy stress tensor, \(G_0\in \text{Lin(Sym)}\) is the instantaneous elastic ...
Mauro Fabrizio, MORRO, ANGELO
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On the direct estimation of creep and relaxation functions
Mechanics of Time-Dependent Materials, 2007Two alternative approaches for estimating linear viscoelastic material functions from a single experiment under random excitation are derived and analyzed. First, Boltzmann’s superposition integral is discretized into a system of linear equations. Due to the ill-posedness of the resulting matrix equation, Tikhonov’s regularization is introduced. Second,
Joonas Sorvari, Matti Malinen
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On the behaviour of the spin relaxation function
Il Nuovo Cimento B, 1972The integrodifferential equation governing the time behaviour of the longitudinal spin relaxation function in the high-temperature approximation is studied. The analysis clarifies the consistency of possible approximations to the kernel with the asymptotic behaviour of the solution. It is found that the presence or absence of exchange interaction leads
G. Casati, A. Scotti
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Semicontinuity and relaxation of L ∞-functionals [PDF]
Fixed a bounded open set Ω of R , we completely characterize the weak* lower semicontinuity of functionals of the form F (u,A) = ess sup x∈A f(x, u(x), Du(x)) defined for every u ∈ W 1,∞(Ω) and for every open subset A ⊂ Ω. Without a continuity assumption on f(·, u, ξ) we show that the supremal functional F is weakly* lower semicontinuous if and only if
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