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It converges to a long-length limit at about 50 residue, a result which is attributed to a nucleation propagation mechanism.
A simple formula is developed to evaluate this long-length limit and from it the dependence of the end correction upon all the parameters within the problem becomes explicit.
The static dielectric constant in the long wave length limit for parallel polarization of electric field increases with the doping concentration, whereas for perpendicular polarization it remains almost constant with respect to the doping concentration and specific types.
Even in the long-wave-length limit: k → 0, their slopes still differ.
But because there's no length limit, storytelling can be a bit more extensive.
Be aware of your length limit.
Place down a long length of tripwire.
Cut a long length of ribbon.
Find a long length of cardboard tube.
Cut a long length of the ribbon.
Cut a long length of thick wire.
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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