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Both schemes are shown to be of second order accuracies and unconditionally stable.
Since partial differentiation is applied twice (for instance, to get ytt from y), the equation is said to be of second order.
The results have shown that the impacting angle plays a key role in the fragmentation of foliated rocks whereas the effect of the impacting energy tends to be of second order.
Of course, considerations about past contributions to society may play a role in the decision on whether or not to behave prosocially when retired, but we expect these to be of second order importance compared to contemporaneous events.
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Despite its obscurity, this tax factor is likely to be of first order importance.
The approximation to the interface velocity is shown to be of first order.
Contrary to the parent system, the paramagnetic (PM) to ferromagnetic (FM) transition is found to be of first order but becomes observable only in fields above 1 T.
Collections of numbers, which he calls Zahlenfiguren, would be of third order.
Hence, the adsorption cannot be said to be of first order.
The biodegradation kinetics was found to be of first order for all composting and co-composting piles.
The humidity response models, G21(s) and G22 s), are of second order with a zero.
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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