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New relaxations for composite functions
2019Mixed-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, 1985Abstract 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, 1995We 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
2003Summary: 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, 2014Abstract 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, 1971It 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, 1984This 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, 1982The 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, 2000Abstract 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, 1986An 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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