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First, it is shown that when the dynamic procedure is used to determine unknown multiplicative model coefficients that occur in classical models for premixed combustion, the approach is ill-posed asymptotically.
The SCHA is a powerful analytical tool for modelling Laplacian potential and the corresponding field components over a spherical cap, overcoming most of the problems (e.g., non-orthogonality and huge number of model coefficients) that arise when global spherical harmonic models are applied to restricted areas.
Stepwise selection of risk factors is likely to have resulted in model coefficients that were too large and measures of model performance that were optimistic [ 39].
Figure 5b gives the results from a multinomial logistic regression, and the model coefficients that are statistically significant support the veracity of these observations.
Let us now consider the calculation of the matrix of model coefficients, that is, the matrix of general term, given that is known.
The method uses packing specific liquid holdup and pressure drop data to find model coefficients that both minimize relative error in the two-phase momentum equations and ensure correct limiting single phase behavior of the model.
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The model includes coefficients that have been independently characterized using numerical simulations.
The pooled and state fixed effects models have coefficients that are approximately equal to Okun's findings of a three to one relationship.
All occasion-level predictors were modelled with coefficients that were randomly varying at the person level, to allow the relationship between negative events, ruminative self-focus, and negative affect to vary between individuals.
Model results obtained at Dry Tortugas, FL and Sapelo Island, GA demonstrate that the ecologically-based stochastic model yields bioirrigation coefficients that are comparable to those obtained independently via inverse modeling or by use of multicomponent early diagenetic reactive transport models.
Evaluation of adsorption site energy distributions (generated using the model coefficients) suggested that the negatively charged ceria surface had a very broad site energy distribution and that its surface heterogeneity controls the adsorption process.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com