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Next, we show that Theorem 4.2 can be applying for this case.
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Therefore the Kelvin-Helmholtz instability model cannot be simply applied for this case.
The I/Q staggering pattern shown in Figure 2 applies for this case.
Therefore, Theorem 2.2 cannot be used to claim the existence of fixed point of T. Next, we show that Theorem 3.2 can be applied for this case.
Simple and elementary equations [14] can be applied for this use case.
This is applied for the case study of a three-span continuous post-tensioned box-girder road bridge, located in a coastal region.
This reasoning applies for the case of new arbitrary problems, but we should add that for the particular large-scale parameter estimation problems considered above, the default recommended values have shown a good performance.
There is still another method possible that is sometimes proposed; this method is applied for the case of an equilibrium (where all states have a stationary point simultaneously), and is based on solving the equations for the equilibrium values first.
This algorithm can be applied for the case when animal does not move in the arena during the period we record the signal.
Prosecutor Michael French applied for the case to be sent immediately to the crown court.
Michael French, prosecuting, applied for the case to be sent immediately to crown court.
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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