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In our Monte Carlo simulations, we found that these expressions allowed for reasonably accurate prediction of the empirical c-statistic when the distribution of the explanatory variable was normal, gamma, log-normal, and uniform in the entire sample of those with and without the condition.
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The analytical expressions allow many thousands of calculations per second.
These expressions allow one to suppress particular instabilities by adjusting the contact ratios and mesh phasing.
These expressions allow direct comparative assessment of design alternatives, thus facilitating process design and performance optimization.
These expressions allow one to trace the boundaries of equality constraint sets using an existing path-following algorithm.
The developed expressions allow us to obtain an equivalent viscous model which dynamic matrices explicitly depend on the viscoelastic damping parameters.
Interaction between flange and web is considered and the expressions allow for different orthotropy ratios and ranges of flange-to-web widths and thicknesses.
The use of analytic expressions allows the analysis to be easily repeated when medication costs change or when new medications/protocols are introduced.
These expressions allow the representation of the system behavior as annotations on a goal model.
Our expressions allow to investigate the possible gains and situations where cooperation can be beneficial.
These expressions allow us to compare patient welfare with fee discrimination (FD) and without fee discrimination (NFD) under balance billing.
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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