(ii) The region in Theorem 1 is convex due to the auxiliary time-sharing random variable.
This matrix is multiplied by the matrix of estimated model parameters, i.e., the result is a sum of estimated population totals of auxiliary variables times the corresponding model parameter estimate, such as ( {widehat{tau}}_{Xj} cdot {widehat{beta}}_j ).
Combined with the finite-time observers and the finite-time auxiliary system, a robust finite-time backstepping attitude control design is developed.
The findings in our study suggest that the auxiliaries at times did not work to the full of their scope.
"They would be lucky to get the 500 auxiliary cops this time, especially if they don't have their uniforms because their homes were washed-out," said one retired police officer who asked not to be named for fear of retribution.
As an example, for the proportional fairness, i.e., when (mathcal {U}(gamma _{k})=log (gamma _{k})), after taking the derivatives, the BS can determine the optimal auxiliary variables in time slot t through (frac {1}{gamma _{k}(t)}=frac {G_{k}(t)}{V} Longrightarrow gamma _{k}(t)= min left (hat {a},frac {V}{G_{k}(t)}right), forall k ).
However, this would complicate the model further by the introduction of supplementary levels and auxiliary variables for time delays.
Together, it is projected that such auxiliary effects, over time, perpetuate transformation of gel into the viscoelastic material, which constitutes fine-scale fibrous architecture specific to VE⊃ACN.
The observed data including patients' demographics (age, gender, medical history, etc)., auxiliary examination, stroke onset time and admission time, and TCM clinical symptoms & signs were recorded on the case report form (CRF) by neurologists.
