Sentence examples for for the derived from inspiring English sources

Full mathematical justification for the derived formula, and derivations of precise estimates for the remainders of the topological asymptotic expansion are provided.

We provide full mathematical justifications for the derived formulas, including precise estimates of remainders.

Considerable differences were observed for the derived fatigue crack growth curves under different load ratios.

As an application, a GPC LPV is designed for the derived LPV model of the liquid gas separation process.

Then, genetic algorithm is applied to optimise the hourly quota of entry appointments in STAS for the derived queueing model.

Derived alleles of pigmentation markers that are under selection in Europeans are present in eastern and western Scythians, including individuals who are homozygous for the derived alleles at selected SNPs in the HERC2, SLC24A5 or SLC45A2 (ref. 43, 44, 45).

Finally, we provide a full mathematical justification for the derived formulas and develop precise estimates for the remainders of the topological asymptotic expansion.

Convergence analysis for the derived Kalman smoother is provided, which shows that stability of the Kalman filter cannot guarantee that of the designed fixed-point Kalman smoother.

Finally, we provide the estimates for the remainders of the topological asymptotic expansion and perform a complete mathematical justification for the derived formulas.

IfXis a projective system of TAbindexed by a filtering ordered set, we give a necessary and sufficient condition for the derived projective limit ofXto be strict.

Evidence for the derived mixing model in its general formulation is provided for different flows through its full consistency with well-tested Eulerian transport equations.