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(a): Let x be an arbitrary feasible solution to (P).
(b): Let x be an arbitrary feasible solution of (P).
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Let be an arbitrary function.
(xiv) Let be an arbitrary.
Let be an arbitrary element.
Let be an arbitrary graph.
In this paper, we first verify the relationships between Data Envelopment Analysis DEA and MOILPLP and then design two distinct practical procedures: the first one specifies whether or not an arbitrary feasible solution is efficient, meanwhile the second one, as the main aim of this study, determines the efficiency status of an efficient solution.
It's an arbitrary number.
It's an arbitrary amount.
1980 is an arbitrary date.
"But that is an arbitrary definition.
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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