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The results indicated that contrary to expectations, implementation of the practical constraints improved the model performance more than the modifications in the behavioral assumptions.
The constraints improved performance in the task of finding functionally enriched modules, compared to using either data source alone.
Moreover, the acknowledgement of the thermodynamic hydrophobic constraints improved our understanding of membrane proteins, which in turn significantly improved our picture of membranes [ 6].
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Using the humanitarian constraints improves the entire supply chain performance.
We also show that including the stage bypass variables and constraints improves solution quality and efficiency.
The main advantage of this formulation is the reduction of decision variables and constraints improving the simulation time without sacrificing optimality.
We review and compare covering constraints formulations, provide new insight into connectivity constraints, improve the model formulation and its solution procedure, and report computational results.
These constraints improve each model's efficiency by increasing the corresponding objective function lower bound, thus accelerating the branch and bound node pruning process.
The second improvement is a constraint rescaling, aimed to reduce relative difference in the order of magnitude between different moment constraints, improving numerical stability of iterations due to reduced sensitivity of different constraints to changes in Lagrange multipliers.
Such additional constraints improve the convergence of iterative approaches (see details in ref (170)).
The numerical experiments indicate that the use of intra-molecular constraints improves the prediction of interaction sites.
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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