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1. Constant gas rate Substituting constant gas rate inner boundary condition and the outer boundary condition into Eqs.
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end{aligned} Substituting constants (c_{1}) and (c_{2}) into (2.6), we obtain (2.5) as required.
Substituting constants c 1 and c 2 in (2.5), we obtain (2.3).
Substituting constants A and B into (2.8), we obtain (2.2) as requested.
Substituting this constant density into the state equation of CO2 establishes the matching relation of the temperature range and the pressure for the optimal heat transfer performance.
Substituting a constant C 1 into (2.6), we obtain (2.3).
end{aligned} Substituting the constant (c_{1}) into (2.7), we have (2.6) as desired.
We included trials with zero serious adverse events by substituting a constant of 0.5 for zero.
After substituting the constant "10000" for all "could not do task" entries in the data matrix, each variable was separately rank-transformed, with high ranks reflecting poor psychophysical performance (high thresholds, large SOAs, etc).. Ties were resolved by assigning the average rank to a group of tied values.
Try substituting a constant into the original function for x.
end{aligned} end{aligned} Substituting the constants (C_{1}) and (C_{2}) into (2.5), we obtain (2.3).
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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