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Exact(7)
However, whereas Langlais and Mandea (2000) computed SV models by first difference of successive MF models, we directly computed annual SV models from the difference of observatory annual means, bypassing in fact the intermediate computation of MF.
In the case of only searching for structures in the variables (so all objects are a member of all substructures, as is the case in for instance PCA), it is well-known [9] that the mixed models as mentioned in equation (6) can be treated as pure multiplicative models by first removing any sample or variable means by column or row centering.
The proposed TAGGING framework was successful at strengthening "weak learners" (two types of QTL models) by first reducing the hypothesis space and then aggregating by averaging the base models.
We also utilized an inverse-variance weighted average approach to estimate a random-effects models by first using STATA's "ird" command, saving those study-specific results, then using the STATA command "meta" to compute the weighted average IRDs [ 13].
We tested the fit of two models by first assuming that the residuals were normally distributed with constant variance, ε ij ~ N 0, σ 2 ) and by second considering the heteroscedasticity, ε ij ~ N 0, σ j 2 ).
23 If one or more covariates showed significant effects on the association between nutrients and biomarkers, those covariates were separately examined for interaction effects in adjusted models by first entering the main effects, then the two-way interactions between each nutrient and the covariate(s) in the next step.
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Unfortunately, the syntax used in BioPAX is sometimes inconsistent, which leads to XML database annotations like 'UniProt' or 'UniProtKB' within BioPAX documents that hamper the automatic reading and interpretation of those models by third-party applications.
Professor Wilkinson made the model by first digitising a three-dimensional image of the complete skull and using the bone structure to estimate the thickness of the various layers of soft tissues which make up the face.
Based on this, we modified our model by first removing the path from L2 listening strategy use to L2 listening proficiency, and then by connecting measurement errors.
These processes are modeled by first order hyperbolic partial differential equations with large and small parameters, which results in stiffness and multi-scale behavior.
In particular, a 1D mathematical model is presented for tubular reactors considering a cylindrical symmetry, which is modeled by first- or second-order differential equations depending on the importance played by the axial diffusion.
Write better and faster with AI suggestions while staying true to your unique style.
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