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The resulting matrix diffusion fluxes are added to the numerical model as linear concentration-dependent source/sink terms.
For many real imaging devices, especially those designed to be wide-angle, small, cheap and/or extra robust (for instance, because of having very simple optics), it may still be reasonable to consider their degradation model as linear, but they may significantly depart from shift-invariance (SI).
Finally, to test the effect of the regularization prior on predictive power and STRF shape, we fitted the same linear model used by NRC (Eq. 5), but with an L1 regularizer (Eq. 4) instead of the lowpass Gaussian prior imposed by NRC (we refer to this model as linear L1).
36 'Year' and 'Quarter' terms were included in the model as linear terms to take into account linear trends over time.
In addition, we included the effect of year of birth in the incidence model as linear consistent with an extended increasing trend over time.
Second, we added biomarkers to the model (as linear terms) to assess the percent change of the β-coefficient (the log of the odds ratio [OR]) for alcohol consumption; these coefficients are scaled linearly.
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Different modeling schemes, namely ARX models as linear approach, and adaptive-network-based fuzzy inference system (ANFIS) as intelligent modeling approach have been evaluated.
Regression analyses were conducted via the log-linear rate model as well as via the linear relative rate model.
The geomaterials can be modeled as linear or nonlinear.
Most dynamic systems can be modeled as linear ordinary differential equations with constant coefficients.
The dynamic systems can be modeled as linear or nonlinear mass-spring-damper.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com