Sentence examples for explicitly unique from inspiring English sources
The third is the explicitly unique representation of rules in the same equivalence class (mathrm{AR})(L, S) upon the generators and their closures, (L, ({mathcal {G}}) (L)) and (S, ({mathcal {G}}) (S)).
To completely eliminate the generation of duplicate candidates for the solution, based on each class ((L, S) in mathrm{NFCS}_{supseteq L_0, supseteq R_0} (s_0,s_1,c_0,c_1 )) and the generators ({mathcal {G}})(L), ({mathcal {G}})(S), we will propose an explicitly unique representation of rules in (mathrm{AR}_{supseteq L_0, supseteq R_0}^+ (L,S)).
Thereby, explicitly unique representations and structures of the right-hand side (R'in mathrm{FS}(Sbackslash L')_{L', R_0^*subseteq R_1^*}) and the left-hand side (L'in mathrm{FS}_{C_0 subseteq L_{C1}}) of rules (r: L' rightarrow R') in each equivalence class (mathrm{AR}_{supseteq L_0, supseteq R_0} ( {L,S})) are derived.
As an instructive example, in case of the Dirichlet energy (with (F r,t) equiv t)), the above system decouples, and we can compute explicitly the unique solution (f=(f_{1}, ldots, f_{k})=f(rho; mathsf {m})) to (2.17).
What they do: Founded in 1988, WEN explicitly recognizes the unique role women can take in the environmental process, acknowledges the disproportionate ways climate change can affect women and empowers women to campaign for positive change.
In particular, our protocol explicitly incorporates the unique characteristics of wireless network including the interference dynamics and path assignment.
The key aspect of this enhancement is that our protocol explicitly incorporates the unique characteristics of wireless network including the jamming dynamics and path optimally selection.
In the current study, we explicitly evaluated two unique obstacles that could preclude the spread of resistance to inhibitors of QS receptors.
The second law is most quantitative and is explicitly expressed in the unique form of a stochastic differential equation.
SPRINT is thus primarily unique in explicitly specifying and using carbohydrate intake, within acceptable ranges [ 36- 38] for TGC.
The purpose of this study was to explicitly acknowledge PubMed's unique content and provide a systematic, reproducible method for accounting for this content in translating a search filter from OvidSP Medline.
