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The second order characteristic condition for plastic flow

International Journal for Numerical and Analytical Methods in Geomechanics, 2003
AbstractIn this paper the second order characteristic (discontinuous bifurcation) condition is derived for the granular flow (fully plastic) equations. This second order bifurcation equation is shown to be formally identical to the first order localization requirement during steady elastoplastic deformation provided the elastic compliance tensor is ...
Weir, Graham, Young, Roger
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Second-order conditioning of Pavlovian conditioned inhibition

Learning and Motivation, 1976
Abstract Two experiments are reported which investigated the conditioning of inhibition to a neutral stimulus as a result of its repeated pairing with a previouslyconditioned inhibitor. Both experiments employed a conditioned suppression technique with rat subjects. Experiment 1 detected the second-order inhibition through the retarded acquisition of
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Invertibility Conditions for Second Order Difference Operators

Journal of Mathematical Sciences, 2016
Summary: We obtain a sufficient invertibility condition for some class of linear second order difference operators.
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Second-Order Conditions for Optimization Problems with Constraints

SIAM Journal on Control and Optimization, 1998
The author obtains necessary or sufficient second-order optimality conditions for constrained optimization problems. The main novelty is to work in a projective space (space of directions), which allows to improve the known results.
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Second-order necessary conditions in semismooth optimization

Mathematical Programming, 1988
This is the second in a series of four closely related papers by the same author. These works introduce a new concept of second-order directional derivative for nonsmooth functions, and demonstrate its applicability to the study of necessary and sufficient conditions for optimality in finite-dimensional mathematical programming.
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On the Hessian of Lagrangian and Second Order Optimality Conditions

SIAM Journal on Control and Optimization, 1986
For a constrained minimization problem, the restriction of the Hessian of the Lagrangian to a tangent space of the feasible set can be used to characterize a Karush-Kuhn-Tucker point of the problem as a local minimum, maximum or saddle point. It is shown in this paper that the restriction of the Hessian to a normal space with respect to the indefinite ...
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Mollified Derivatives and Second-Order Optimality Conditions

2004
The class of strongly semicontinuous functions is considered. For these functions the notion of mollified derivatives, introduced by Ermoliev, Norkin and Wets [8], is extended to the second order. By means of a generalized Taylor's formula, second order necessary and sufficient conditions are proved for both unconstrained and constrained optimization ...
LA TORRE D.   +2 more
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On the Classical Necessary Second-Order Optimality Conditions

Journal of Optimization Theory and Applications, 2004
In this paper a nonconvex optimization problem in \({\mathbb R}^n\) with equality and inequality constraints is considered. Assuming that the Mangasarian-Fromovitz constraint qualifications hold at a local optimal solution, the aim is to provide sufficient conditions that imply the necessary second-order conditions CN2, with the same Lagrange ...
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The neural substrates of higher-order conditioning: A review

Neuroscience and Biobehavioral Reviews, 2022
Nathan Holmes   +2 more
exaly  

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