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New relaxations for composite functions

2019
Mixed-integer nonlinear programs are typically solved using branch-and-bound algorithms. A key determinant of the success of such methods is their ability to construct tight and tractable relaxations. The predominant relaxation strategy used by most state-of-the-art solvers is the factorable programming technique.
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On compatibility functions in probabilistic relaxation

Photogrammetria, 1985
Abstract The first stage in the analysis of remotely sensed data is image segmentation and classification. The early approaches to this problem were based on the Bayesian decision rule for classifying pixels x on individual basis. Recent studies showed that the segmentation performance can be considerably enhanced by incorporating contextual ...
J. Foglein, J. Kittler
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Relaxation functions in dipolar materials

Journal of Statistical Physics, 1995
We compare two simple “cartoons” of relaxation processes in dipolar materials: the “first passage” relaxation function introduced by K. Weron (1991) and the “average” relaxation function expressing the proportion of dipoles which did not change their imposed aligned orientation up to a certain time, the latter providing a description closer to what is ...
Karina Weron   +2 more
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Multiscale relaxation of convex functionals

2003
Summary: The \(\Gamma\)-limit of a family of functionals \[ u\mapsto \int_\Omega f\Biggl({x\over\varepsilon}, {x\over \varepsilon^2}, D^su\Biggr)\,dx \] is obtained for \(s= 1,2\) and when the integrand \(f= f(x,y,v)\) is a continuous function, periodic in \(x\) and \(y\), and convex with respect to \(v\). The 3-scale limits of second-order derivatives
FONSECA I., ZAPPALE, ELVIRA
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Relaxation function for the non-Debye relaxation spectra description

Chemical Physics, 2014
Abstract This study presents the new relaxation function describing the non-Debye relaxation phenomena. The relaxation function is based on a new theoretical model of the relaxation polarization. The non-Debye relaxation is explained with the model of nonlinear damped oscillator.
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Stress relaxation function of glass

Solid State Communications, 1971
It has been found by Douglas and others that the stress relaxation function of glass has the form S = S0 exp[ -(t/τ)α]. Simple phenomenological considerations, utilizing the theory of Brownian motion, can explain this law and yield proper values of α and τ.
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Relaxation of the Electron Distribution Function

IEEE Transactions on Plasma Science, 1984
This paper discusses an analytical technique for calculating the relaxation in time of the electron distribution function f in an environment in which no perturbing forces act on the electrons. For t = 0, f may have any arbitrary form presumed to be caused by perturbing forces which were not zero during t < 0.
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Relaxation function of linear polymers

Journal of engineering physics, 1982
The relaxation function of linear polymers possessing a discrete realxation time spectrum is analyzed.
Z. P. Shul'man   +5 more
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Relaxation time distribution function

Ferroelectrics, 2000
Abstract The distribution function of relaxation time in disordered dielectrics has been calculated in the random field theory framework. For this purpose, we first consider the dynamics of single two-orientable electric dipole in a random electric field E in a disordered ferroelectric.
Maya D. Glinchuk   +2 more
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H-functions and mixing in violent relaxation

Monthly Notices of the Royal Astronomical Society, 1986
An H-function is any function of the phase space distribution function F(x,v) which is non-decreasing with time. In collisionless systems Boltzmannn's H-function \(-\int F \log F\quad dx dv\) is only one of a variety of H-functions of the form \(-\int C(F)\quad dx dv\), where C is any convex function.
Michel Hénon   +2 more
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