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Using W4 (the smallest forbidden subgraph for monopolar graphs) as a cutting plane also helps little, solving one more instance, but might be useful for difficult instances with long running time.
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PMS5 [ 7] computes the common d-neighbors of three l-mers using integer programming formulation, which is an efficient algorithm for solving the difficult instances of PMS: (21, 8) and (23, 9).
Interestingly, the most difficult instances for the latter three models appear to be those with the equal number of facilities and customers.
The reasons were essentially those already observed, but interestingly enough, the two tools did not (usually) fail on the same instances, meaning that a difficult instance for one tool might not be so difficult for the other.
That makes it difficult, for instance, for women who need maternity leave.
It is very difficult, for instance, for my team to make appointments with Alex, a young homeless woman with a criminal record and without a mobile phone, who suffers horrific hallucinations of abuse.
Furthermore, the emerging consolidated model is compared to relevant algorithms from the literature for a set of difficult bidimensional instances from lattice protein models.
With respect to the understanding and meaning of biomarkers, reviews often point to gaps in knowledge, data and validation that render interpretation difficult; for instance background and baseline values are not available for many ubiquitous environmental chemicals and their metabolites [ 5, 31].
It is difficult, for instance, to get webbed feet to turn out.
It's very difficult, for instance, to find historic images of people of color.
It can be difficult, for instance, to dock the device with the recharger.
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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