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We further outline implementation details for the sake of model validation.
For the sake of model identification, factor means and variances were set to 0 and 1, respectively.
By using a special experimental turbocharger gas stand, experimental data have been obtained for extremely low turbine power outputs for the sake of model validation.
For film structures, the grain size was used to fit the model to determine the size response for the sake of model integrity.
The use of Receiver Operator Characteristic (ROC) analysis for the sake of model selection and threshold optimisation has become a standard practice for the design of two-class pattern recognition systems.
If item positions are randomly determined for each examinee (i.e., independent of examinees' latent trait levels), then the correlation between item positions and the latent trait can be excluded from the model for the sake of model parsimony.
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The fashion world's expectations about how models should look is completely sick, and laws like this, if they were ever actually enforced, are long overdue for the sake of models themselves.
Durbin Watson statistics provide a means of determining whether adjacent/consecutive residuals related to a simple first-order regression are mutually interdependent, i.e. whether the postulated number of independent variables is sufficient for the sake of modeling.
The discrepancy in size is attributable to omission of site-specific details about protein-protein interactions in ODE models and the simplifying assumptions of ODE models that are introduced for the sake of making model specification feasible.
Luckily (for the sake of the Model J) this car eventually found its way into the hands of a noted collector of Duesenbergs, Holmer Fitterling Holmer Fitterling of South Bend, Ind., who had more than a dozen of the cars and who restored this one.
For the sake of simplicity, model (8) could be rewritten in the following form: mathrm{d}x_{i}(t)=x_{i}(t)f_{i}(t), mathrm{d}t+x_{i}(t g_{i}(t),mathrm{d}B_{i}(t), quad i=1,2,ldots,n.
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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