Sentence examples for distinctly generating from inspiring English sources

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)).

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

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

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)).

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

(MFS_RestrictMaxSC) distinctly generates all the right-hand sides in ({mathcal F}{mathcal S}^(S_{S_{1}^ backslash L^{prime })_{L^{prime },subseteq R_{1}^ ): a, ai.

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 (MAR_MaxSC_OneClass) algorithm given in Fig. 4 distinctly generates all the association rules with the constraints ({mathcal A}{mathcal R}_{subseteq L_{1},~subseteq R_{1} }^ (L,~S)) for each pair ((L,~S ~in ~{mathcal N}{mathcal F}{mathcal C}{mathcal S}_{subseteq L_{1},~subseteq R_{1} } (s_0,s_{1},c_0,c_{1} )).

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})).