Sentence examples for estimates for the cases from inspiring English sources

Finally, we give the a priori estimates for the cases M + > 1 and M + = 1 in Section 3 and 4, respectively.

For this regularization strategy, in the presence of noisy data, we establish and prove the convergence estimates for the cases (0leq x<1) under the a priori bound assumptions for the exact solution and the suitable choices of the regularization parameter.

end{aligned} end{aligned}We have the same estimates for the case (lambda <-d) and (zin (-1,0)).

Total cost of the device, when we include estimates for the case, codecs and other miscellaneous items, is just over $200.

Estimates for the case of (C^{2}) functions, as well as for merely Lipschitz continuous convex functions φ, are established.

The Health Protection Agency's upper and lower estimates for the cumulative number of cases by age were used to calculate lower and upper estimates for the case fatality rates.

Cox proportional hazards models, stratified and adjusted according to specifications in Table 3, were assumed for DCIS and invasive ipsilateral events, and hazard ratios and variance estimates for the case-cohort design were determined according to Self and Prentice, (1988).

Parameters estimated for the cases of India and Kazakhstan suggest that the Aggregate Supply curve is flat enough to satisfy the necessary condition.

The computational efficiency of the approach is estimated for the cases analyzed.

Indeed, averaged ratios MT/WT of transcription level in mutant (MT) to that in the wild type (WT) and their dispersions in experimental assays were estimated for the cases of sig4-knockout [ 4] and sig3-knockout [ 5].

Furthermore, the accuracy estimates hold for the cases where there is a property jump across the interface.