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One also may allow, or not (i_m) to be equal to zero, and the numeration of the letters of the sequence w to start from 1.
The direction labels are chosen to be negative values from so that it will not overlap with the catchment basin labelling which will start from 1.
In addition, it is observed that network generally yields better coverage and throughput performance for scenarios in which all MNs start from 1 corner than from 4 corners of a disaster area.
By comparing the 4 subfigures, we can point out that the two curves corresponding with the scenarios that MNs start from 1 corner rises more sharply than the curves demonstrating scenarios that MNs start from 4 corners.
By comparing the 4 subfigures, we can see that when the capability of RNs is small, GICA produces better results for the scenarios that MNs start from 1 corner than that of all MNs starting from 4 corners.
By comparing the 4 subfigures, it can be found that although the algorithms yield similar results for 4 different scenarios when the capability of RNs is small, the throughput performance converges at a higher value as the capability of RNs increases for scenarios that MNs start from 1 corner than scenarios that MNs start from 4 corners.
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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