Sentence examples for by applying upper and from inspiring English sources

By applying upper and lower solutions method, we present the sufficient conditions for the existence of the coexistence solution.

Finally, the viscosity variation is limited to 9 orders of magnitude by applying an upper and a lower cutoff of η max=105 η 0 and η min=10−4 η 0 (see Table 1).

By applying the upper and lower solutions method associated with the Schauder fixed point theorem, some sufficient conditions for the existence of at least one positive solution are established.

By applying the upper and lower solutions method associated with the Schauder fixed point theorem, the existence results of at least one positive solution for the above fractional q-difference boundary value problem with p-Laplacian operator are established.

By applying the upper and lower bound range relating to the range of RRs used in the analysis, the range calculated for costs is €107 022 854 to €186 486 711 million.

Initial filtering of probe sets was accomplished by applying an upper and lower threshold of expression (75-20000) of the raw MAS5 values before row and column centering for at least 15 of the 89 arrays.

Average daily ICU costs calculated by Moerer et al. [ 22] were varied by applying the corresponding upper and lower standard deviations.

The collapse load is determined by solving the minimization problem obtained by applying the upper bound theorem of limit analysis.

The collapse load of masonry arches with limited compressive strength and externally bonded reinforcement, such as FRP, is evaluated by solving the minimization problem obtained by applying the upper bound theorem of limit analysis.

In order to identify all Pareto-optimal configurations efficiently, we extend the branch-and-reduce algorithm by applying optimality cuts and upper bounds to eliminate parts of the infeasible region and the non-Pareto-optimal region.

By applying the lower and upper solution method and the monotone iterative technique, the author obtained the existence of solutions for problem (1.3).