Sentence examples for aforementioned estimates from inspiring English sources

In fact, any contribution for T ∈ T ∩ T ^ vanishes on both sides while for any T ^ ∈ T ^ and T ∈ T ∖ T ^ with T ^ ⊂ T, the local mesh-size satisfies h T ^ ≤ 2 − 1 / d h T. The combination of the aforementioned estimates result in (B3a) with C 1 (ε qo ) ≔ C 2 / (ε qo (1 − 2 2 / d ) 4 ).

Aforementioned estimates of shale reserves are also higher than the estimates of previous years assessed by the U.S. Energy Information Agency (EIA 2014).

All the aforementioned estimates were adjusted for each other.

31 To account for this potential understatement, a sensitivity analysis scaled up the percentage of treatment center clients entering treatment for opioids who misuse non-heroin opioids using the ratio of the aforementioned estimates (ie, by a factor of 2.01).

28 To arrive at estimates of the incremental health care costs of RxO abuse in each country, we combined the aforementioned estimates of the health care costs of chronic pain conditions with an estimate of the ratio of incremental opioid abuse costs to costs incurred by individuals without opioid abuse.

However, direct comparisons should be treated with caution, given the sampling differences between studies and the fact that the aforementioned estimates were derived from detailed studies of candidate genes or select loci (8−660) rather than low-coverage, whole-genome sequencing.

The highest risk estimate that we found was 1.68 cases/1 million nights (Greece), which corresponds to an incidence rate of 0.005%/month, which is >5 × higher than the aforementioned estimate.

For such polynomials, the aforementioned estimate was improved by Gavrea et al. [15] and by Bustamante [16], who obtained (K_{2}=3), and finally by Păltănea [11], who showed that (K_{2}=2.5).

To scrutinize the performance of the four statistical methods aforementioned in estimating Weibull parameters, a model of cross verification has been anticipated.

Under somewhat stronger assumptions on ϕ ( t ) or ω ( t ), the endpoint Lebesgue norm estimate aforementioned can be improved to optimal Lorentz norm estimates, namely from L 3 / 2 ( R 2 ) into L 3, 3 / 2 ( R 2 ) and L 3 / 2, 3 ( R 2 ) into L 3 ( R 2 ).

However, a lower number of events in the placebo group within dietary quartile 4 confound the aforementioned risk estimates.