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The equations derived provide a general procedure for calculating the control coefficients from the elasticity coefficients using matrix algebra, and is valid for any pathway stoichiometry.
Since the overall efficiency of the autocatalytic system is limited by the slowness of the initial phase, the equations derived provide valuable insights for reactor design purposes.
The conclusions derived provide an ideal property profile for lead selection and the property modification strategy during the lead optimization process.
When the explanatory variable is normally distributed in the combined population of subjects, then the formulas that we derived provide a reasonably accurate prediction of the empirical c-statistic.
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Furthermore, several parameter relations are derived, providing practical design guidelines.
Moreover, the model derived provides, for the first time, the necessary anchoring for future safety analyses in offshore helicopter operations.
Here, one usual architecture for a third-order PLL is studied and a range of permitted parameters is derived, providing a rule of thumb for designers.
In addition, the correlation between the formwork pressure response and the loss of slump flow is derived, providing an approximate method to estimate the reduction in formwork pressure.
For plants with input disturbances, parameterizations of estimation error dynamics are derived, providing useful tools for the design of robust optimal observers.
Then, the analytical relation between RQD and discontinuity frequency that may be derived, provided that discontinuity sets follow the negative exponential model, is validated against simulation data.
A general model of the island is derived, providing new information on the individual volcanoes as well as on the growth of the island as a whole.
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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