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In our problem, it is not needed.
In our problem, it requires (deltaleqsigmaleqmu).
Moreover, there are at least three difficulties in our problem.
In our problem, we assume the locations lie in ℝ2.
It cannot be used in our problem directly.
In our problem, vertices are partitioned into two sets: terminals and nonterminals.
Because shortest path is not the substantial concern in our problem.
In our problem, a source signal is measured and quantized by a series of distributed nodes.
Second, we aimed to investigate the use of hybrid techniques in our problem.
In our problem, however, the price of each job is naturally more than the cost.
In our problem definition, each incident is denoted by a hyper-edge in the graph.
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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