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In this paper, we study the stabilization of nonlinear systems in critical cases by using the center manifold reduction technique.
The maximum clad surface temperature has been predicted in different cases by using the thermal hydraulic safety code RELAP5/Mod4.0.
Direct NI methods try to generate a simple model of gene regulation, in most cases by using the expression matrix to assign a score to every regulator-gene pair15.
Such advanced structural element can be obtained, in some cases, by using the so-called auxetic materials, i.e. materials exhibiting negative Poisson׳s ratio.
He also divided the equations into three cases, by using the m-function.
They divided the equations into three cases by using the m-function, which was defined on a collection of rotated half-planes.
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We first consider the Rd-case, by using the coupling method.
The symmetry class of the stiffness tensor is detailed in any case by using the invariants of Forte and Vianello.
If the system finds a matched case by using the search key, it applies a validity checking procedure described in the matched case data.
The model is defined with a stochastic packet-dropout case by using the Bernoulli distributed white sequence with time-varying probability measures.
For three remaining cases, the explicit secular equations are derived from the secular equation for the compressible/compressible case by using the incompressible limit technique along with the expressions of the reduced elastic compliances in terms of the elastic stiffnesses.
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