Sentence examples for constrained rules from inspiring English sources

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 ).

After studying our results, we propose using the (MAR_MaxSC) algorithm to distinctly and completely produce all the constrained rules in each rule class.

The paper also develops a new algorithm, called MAR-MINSC, to rapidly mine all constrained rules from the lattice instead of mining them directly from the database.

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).

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.

We propose an algorithm called (MAR_{MaxSC}), which mines a complete set of constrained rules in a negligible amount of time compared with post-processing methods.

It is important to note that MAR-MinSC-OneClass completely and exactly discovers constrained rule set ({mathrm{AR}}_{supseteq {L}_0,supseteq {R}_0 }^* ( {{L,S}})) without generating any the redundancy of candidate rules as well as the duplication of the solution.

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.

It can express the longing to shed inhibition, as if living life to its fullest meant dispensing with socially constraining rules.

Both of which might constrain rules (due to functions and conditional expressions) or be altered by them.

But for Obama, our willingness to be constrained by rules that govern others may take precedence over the rules themselves.