Sentence examples for the required estimate from inspiring English sources

end{aligned} This implies that the required estimate holds.

The required estimate then follows by combining the resulting inequalities.

By definition (mathrm{Ker} rho _V = _nmathrm{Br}(K _V), so we obtain the required estimate.

Plugging in our bound on ∥z∥, we obtain the required estimate.

Now, a suitable application of part (ii) of Theorem 2.3 to (3.6) yields the required estimate in (3.3).

end{aligned}We will obtain the required estimate if we take (t=1/(a^{-1/2}+1)).

The challenge is to obtain the required estimates of age-specific selection gradients and age-dependent genetic covariance matrices among traits in order to parameterise evolutionary models.

The prerequisites for participating countries were as follows: (1) recent nationally representative food consumption data obtained from individuals (i.e. not household budget data) and (2) the capability and resources to reanalyse the data to obtain the required estimates.

The results showed that the number of inputs required estimating outputs varied with sex difference.

However, this requires estimating the probability distribution of r i j which is computationally expensive.

Estimating the rate requires estimating the SI at the encoder, which increases the encoder complexity.