Sentence examples for method under appropriate from inspiring English sources

Using the sub-supersolution method and the variational method, under appropriate assumptions on f and M, we prove that there exists λ* > 0 such that the problem has at least two positive solutions if λ > λ*, at least one positive solution if λ = λ* and no positive solution if λ < λ*.

The results show that Li4SiO4 ceramic pebbles can be successfully fabricated by wet method, under the appropriate conditions of solid/liquid ratio and sintering temperature.

The report said IWBs could contribute to the transformation of teaching methods "under the appropriate circumstances".

Although the authors show in [42, 43] that the method has quadratic convergence under appropriate assumptions and the choice of the damping parameter, the results are valid only locally.

Therefore, we believe that the two different lines of methods (LRT-like methods and Ka/Ks methods) should also be useful under appropriate conditions.

Our method is appropriate under a very general model for how the site influences the trait, including epistasis with unlinked loci, correlated environmental effects within families, and gene-environment interaction.

In Section 3, we establish the fourth-order convergence of the method for a scalar equation under appropriate conditions.

We simply have to apply the most appropriate method under given circumstances.

Very recently, Ceng and Al-Homidan [23] introduced and analyzed the following iterative algorithm by the hybrid steepest-descent viscosity method and derived its strong convergence under appropriate conditions.

Bauschke and Combettes [20] introduced a modified Mann iteration method (1.5) in a Hilbert space and proved, under appropriate conditions, some strong convergence.

These principles are always true under appropriate conditions regardless of the methods or models that implement these principles (pp. 44-45): Leareengaged engaged in solving real-world problems.