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(The rough partition of constrained rule set).
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In each equivalence class, two cases, (mathrm{FS}_{C_0 subseteq L_{C1}}^*) = MFS-ExtendedMinSC ((L_{C1}, varnothing, C_0, G(L_{C1}))) and (mathrm{FS}^* (Sbackslash L')_{L', R_0^*subseteq R_1^*}) = MFS-ExtendedMinSC(S backslash )(L'), (L'), (R_0^*, G(S))), are to distinctly generate the left-hand sides (L') and the right-hand sides (R') of constrained rules, respectively.
Notwithstanding the potential advantages of the different models, we submit that constrained rule-of-mixture models (see Eq. 1) allow one to include nonlinear elasticity and viscoelasticity, different properties and distributions of individual constituents, and, most importantly, the different rates and extents of turnover of individual constituents.
This representation leads to the distinct and complete production of all the constrained rules in each rule class, which is described in the algorithm (MAR_MaxSC_OneClass).
Third, a new representation of constrained rules in each class is proposed with many advantages as follows: (1) it helps us to have a clear sight about the structure of constrained rule set; (2) the duplication is completely eliminated; (3) all constrained rules are rapidly extracted without doing any direct check on the constraints, ({{L}}'supseteq L_0) and ({R}'supseteq R_0 ).
Both of which might constrain rules (due to functions and conditional expressions) or be altered by them.
The approach combines hierarchical nesting and the description of constrained dynamics in terms of rule schemata.
This is a world of constrained resources.
Although the amount of air power unleashed was formidable, its effectiveness for the first two years of the campaign was constrained by rules of engagement so restrictive that only one out of four missions actually attacked its intended target.
And anecdotal evidence suggests that while China's government may not be constrained by rule of law, it is constrained by pervasive corruption, which means that what actually happens at the local level may bear little resemblance to what is ordered in Beijing.
In these games the learner "engages in some activity, looks back at the activity critically, abstracts some useful insight from the analysis and puts the results to work [ 2]." Educational games differ from other educational strategies in their use of prescribed settings constrained by rules, procedures, and their competitive nature [ 3].
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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