Sentence examples for distinctly generate from inspiring English sources

It will also demonstrate how to completely and distinctly generate all rules in each class.

Finally, according to the proposed theoretical results, we design a new, efficient algorithm, named MAR_MinSC (Mining all Association Rules with Minimum Single Constraints) and related procedures to completely, quickly and distinctly generate all association rules satisfying the given constraints.

Then, we design an algorithm, named MAR-MinSC, shown in Fig. 5, to distinctly generate all rules in ({mathrm{ARS}}_{supseteq {L}_0,supseteq {R}_0 } ({s}_0,{s}_1,{c}_0,{c}_1 )) without producing any candidate.

The general procedure MFS-ExtendedMinSC (mining frequent itemsets Extended Minimum Single Constraints), shown in Fig. 3, distinctly generate the elements of (mathrm{FS}^* (Y)_{X, supseteq Z_0}): begin{aligned} mathrm{FS}^*(Y)_{X, supseteq Z_0} = textit{MFS-ExtendedMinSC} ({Y, X}, Z_0, G({X} + {Y})).

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.

Finally, in each equivalence sub-class [L] with ({L} in {mathcal F}{mathcal C}{mathcal S}_{C_{10} subseteq C_{11},nsubseteq C_{21}}(s_0,s_1)), we completely, quickly and distinctly generate all frequent itemsets with EDC which are represented uniquely through L and its generators ({mathcal G}(L))—the essential information of the class [L].

The general procedure (MFS_RestrictMaxSC Y,~X,~Z_{1}, ~{mathcal G}(X+Y))) completely and distinctly generates the itemsets of ({mathcal F}{mathcal S}^(Y)_{X,subseteq Z_{1} } )(shown in Fig. 3) begin{aligned}&{mathcal F}{mathcal S}^(Y)_{X,subseteq Z_{1} }&=MFS_RestrictMaxSC~(Y,~X,~Z_{1},~{mathcal G}(X+Y)).

(Uniquely representing and distinctly generating two sides of rules in each equivalence class ({mathrm{AR}}_{supseteq {L}_0,supseteq {R}_0}^ ({L,S}))).

Illustrating the advantages of the algorithm MAR-MinSC-OneClass for distinctly generating rules in each equivalence class ({mathrm{AR}}_{supseteq {L}_0,supseteq {R}_0 }^* {L,S}))).

(Illustrating the advantage of distinctly generating all the rules in ({mathcal A}{mathcal R}_{subseteq L_{1},~subseteq R_{1} }^ (L,~S)) by (MAR_MaxSC_OneClass)).

The necessary and sufficient condition for distinctly generating the right-hand side (R') of rules helps to eliminate many redundant candidates for them.