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All the states were modelled with second order dynamics so the last four states x5, x6, x7 and x8 are the discretized first derivatives of x1, x2, x3 and x4, respectively.
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The combined cylinder asperity contact was first modelled with a stationary model in which an asperity was introduced at the contact rim.
18 The double logistic SMM involved a two-step process whereby the association between outcome (development of new or worsening symptoms or reporting of side effects), trial arm and adherence was modelled first, with estimates from this model used in the SMM in order to obtain correct SEs (and hence correct 95% CIs).
Although the rate of DAA production is pore diffusion controlled, it may be modelled as second order with respect to [Ac] in the forward direction, and first order with respect to [DAA] in the reverse direction.
Each layer is modelled with an optimization model.
First, we used worldwide LUC results for four biofuel production scenarios (Table 1) as modelled with Purdue University's Global Trade Analysis Project GTAP CGEGE model [ 24].
In the second set of analyses, these same calibrated nodes were instead modelled with broader lognormal distributions, admitting an expected lag between cladogenesis and diagnosable fossil deposition (see Fig. 1 of [47]).
To illustrate the robustness of this behaviour, we repeated the simulation using a smooth exogenous perturbation (e.g., a strong wind, modelled with a random normal variate, smoothed with a Gaussian kernel of eight seconds).
Two scenarios are modelled: the first taxes food groups with GHG emissions greater than average and the second taxes high-GHG emission food groups and subsidises those with low emissions to create a revenue-neutral scenario.
(It's modelled, with less-than-vaulting ambition, on the palace of Versailles, hence the title).
The structures are modelled with spectral finite elements.
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