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In this section we generalize the problem to a bridge with N sub-spans and M = N − 1 piers.
In Section 3 we deal with the general problem of a bridge with M = N − 1 piers, and we discuss separately the cases when the number M of the piers is either odd or even.
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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