Sentence examples for using the estimates in from inspiring English sources

Using the estimates in (4.9) and (4.10) to the equation above where is replaced by, yields for all (4.12).

One concern about comparing changes in self-selection by using the estimates in each year is that doing so may confound the changes in the compositions of immigrant and resident populations with the changes in skill prices.18 To address this concern, we must keep the skill returns constant.

However, using the estimates in the previous section, we can obtain the upper bound for the Orlicz norms of T(H u)) or (TH u)) B. In this section, we give some specific estimates for the solutions of the nonhomogeneous A-harmonic equation.

Using the estimates in Lemma 9, we have that for all Open image in new window, begin{array}rcl@ left|bar{A}_{eta,kappa} t,v right|leq f_{1} eta),quad 0<bar{C}_{eta,kappa} t,v leq f_{2} eta).

A population weighted average of all these estimates, using the estimates in the previous sentence plus the 2006 UK estimate and the LARES city estimates to represent other respective countries, is 66%.

Estimate the pure noise content, W H [2,..., k], using the estimate in (1)   3.

In particular, in the case of Example 3.1, estimating (E_{1}) using (13) we obtain (E_{1} leqpi^{2} cdot(2/45) approx0.4386ldots) , which is essentially the same value obtained using the estimate in (8).

We also use the estimates in Theorem 3.1.

We used the estimates in the Alzheimer's Society reports of the actual prevalence of dementia in each PCT for 2010 2012.

Thus, by reasoning as in Theorem 3.3, and using the estimates established in Proposition 3.2, the result follows.

We estimated this cost to be around $0.53 per treated individual using the estimates given in Ramzy and colleagues [29].