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Unlike hard problems in the middle of the satisfiability phase transition, hard problems in the variable region are not critically constrained between satisfiability and unsatisfiability.
They help explain exactly why DPL performs poorly on the critically constrained problems, and why its performance is much better on under- and overconstrained problems.
The major hypothesis is that effective teaching and producing learning is critically constrained by the large size of classes and the students' perception about large classes being negative.
We use a highly optimized version of DPL to plot the average number of remaining variables versus search tree depth for several nontrivial sizes of critically constrained, underconstrained, and overconstrained problems.
Nevertheless, in a developing country context where the legal or quasi-legal regime is frequently weak, and enforcement critically constrained, treating compensations within the context aforementioned could be understood in 'soft law' terms, roughly worthy of a CSR cloak.
To understand the interaction between these two phenomena, this research experimentally characterizes the influences of strategically arranging multiple, critically constrained inclusions to tailor the vibroacoustic damping properties of poroelastic, resonant metamaterials.
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The coexistence of macromolecular replicators and thus the stability of presumed prebiotic replicator communities have been shown to critically depend on spatially constrained catalytic cooperation among RNA-like modular replicators.
Parameter estimation with 12 parameter sets for both low and high uplift data demonstrates that multiple sets of parameters can match the observed data equally well and the inclusion of the pore pressure data is critically important to constrain the parameter solution during inverse modeling.
The results also appear to be critically dependent upon the specific location of the Musgrave Province, constrained between thicker cratonic masses.
The general ICU is by far the largest ICU in the hospital regarding the number of critically ill adult patients treated annually, and the present study is constrained to patients admitted to this unit.
Waterloo International Terminal (London, 1993) Critically acclaimed station squeezing a sinuous snake of rail facilities into a highly constrained site.
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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