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The first step within the loop (referred to as Last (X all)) sets q 0 to the last reached offset position of (({L^{1}_{t}})_{t in mathbb {N}}).
In our implementation, we omit the first step Last (X all) within the loop and instead always keep the last reached positions of the processes (({L^{i}_{t}})_{t in mathbb {N}}(i=1,2)) between simulations.
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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