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The full system of equations was estimated simultaneously, but only the coefficients of Eq. 6 are reported in this Table.
An efficient way to estimate a full system of equations is to use Generalized Method of Moments (GMM) estimation.
Finally, global bifurcation diagrams were calculated for the full system of equations using the orthogonal collocation method.
The small signal ac analysis of the full system of equations leads to an extended transmission line model.
The full system of equations for deformable MS solids in an electro-magnetic field is first considered.
Finally in Section 5 we will provide several numerical examples, first using simulations on a full system of equations as a reference to underline the validity of our approach, and then analysing in more details the dependence on the parameters.
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Validity of this impedance up to the typical working cell currents on the order of several hundred mA cm−2 is demonstrated by fitting the model equation to numerical impedance spectra calculated from the full system of conservation equations.
Here, however, there is an additional contribution to the drift term A arising from the fact that the independent noise terms appearing in the full system of Langevin equations (18) are Ito rather than Stratonovich, reflecting the fact that they arise from finite size effects.
The adaptive dynamics are given by the full system of differential equations (2) p ˙ i = ∂ E S ′ | S ∂ p i ′ S ′ → S Where i = 1,2,... n.
With steady-state and rapid equilibrium assumptions, the full system of differential equations could be simplified to yield the usual interaction parameters k i as functions of the microconstants (Segel 1975).
The full system of ordinary equations for the 2 D minimal model that describes the processes (7), (8), and (9) in the Mx N cell layout is presented in [Additional file 1: Text S1].
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