Sentence examples for upper and lower estimates from inspiring English sources

In each case, we obtain the best upper and lower estimates for subdivisions determined by general hypersurfaces and by hyperplanes.

We averaged the upper and lower estimates of the three cancers' burdens attributable to UV radiation in DALYs for each region and then corrected for its population.

In this paper we give upper and lower estimates for the first nonzero Steklov eigenvalueΔϕ=0  in M,∂∂=ν1ϕ  on ∂M,where ν1 is a positive real number.

In this paper we give upper and lower estimates for the constant I in terms of isoperimetric constants of the boundary of M.

Presented here are two types of HJB equation with some comparison theorems which allow to replace the rather complicated solutions to these equations by their upper and lower estimates, which are simpler to calculate.

We establish the coincidence of two classes of Kato class measures in the framework of symmetric Markov processes admitting upper and lower estimates of heat kernel under mild conditions.

Comparisons between predicted and measured values for various ESH LWSCC responses are illustrated in Figs. 9 and 10 where the dashed lines present the upper and lower estimated error at 95%% confidence limit.

In terms of the predicting of the household reproduction number R*, the method is still found to be strongly predictive (as evidence by the small gap between upper and lower estimate) and reliable (compared to numerical estimates).

This calculation resulted in an upper and lower estimate of consumption of total shellfish biomass in harvest areas for each combination of invasion density and calorie intake.

All sensitivity results are shown in Tables 2 and 3 and in Figure 4. Table 3 presents results in sensitivity analysis when an upper and lower estimate of 20% difference from the primary analysis for efficacy is used in both treatment options and in discounting.

Thus, the upper, baseline and lower estimates used in this study are €5.555 million, €2.11 million and €1.42 million respectively.