Results 271 to 280 of about 287,701 (296)

Relaxation in systems with hierarchical organization: Analytical derivation of the relaxation and dispersion functions

Physics Letters A, 2019
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Dammar N. Badu, Koki Yokoi, Valerică Raicu   +2 more
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Relaxation methods of minimization of pseudoconvex functions

Journal of Soviet Mathematics, 1989
See the preview in Zbl 0501.65025.
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Semicontinuity and relaxation of \(L^{\infty }\)-functionals

Advances in Calculus of Variations, 2009
Let \(\Omega \subset \mathbb{R}^N\) be a bounded open set; a functional \(F\) on \(\mathcal A \times W^{1,\infty} (\Omega),\) where \(\mathcal A\) is the class of open subsets of \(\Omega,\) is called a \(L^\infty\)-functional if it may be represented in the so-called supremal form: \[ F(u,A) = \underset {x \in A}{\text{ess\,sup}} f(x,u(x),Du(x ...
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The Relaxed Work Functional in Linear Viscoelasticity

Mathematics and Mechanics of Solids, 2004
The relaxed work from a history H' to a history H is defined as the minimum work required to approach H via a sequence of continuations of H'. I prove three basic properties of the relaxed work: subadditivity, lower semicontinuity with respect to H for fixed H', and two dissipation inequalities.
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On the behaviour of the spin relaxation function

Il Nuovo Cimento B, 1972
The 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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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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Spin-Relaxation Functions

1997
The spin-relaxation functions are the time dependences of the observables one measures in relaxation experiments. A list of relaxation functions for typical measuring procedures is given in Table 10.1 on page 93.
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Approximate Relaxation Function for Concrete

Journal of the Structural Division, 1979
Presented is an approximate algebraic formula for calculating the relaxation function for aging concrete. The formula is general; it applies to any form of the creep function. Compared to the previously used effective modulus method, the formula reduces the error from up to 37% to within 2% relative to the exact solution according to the superpositon ...
Zdeněk P. Bažant, Sang-Sik Kim
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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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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. Kittler, J. Foglein
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