Sentence examples for preceding estimate from inspiring English sources

The preceding estimate is of independent interest in harmonic analysis.

The preceding estimate holds true for G λ too.

(2.12)   (vi) The preceding estimate holds true for G λ too.  .

Here, the term ω(k) is defined by (8), when the initial estimate, W 0, is replaced by the preceding estimate, Ŵ k − 1), while the prediction error (residual) in (11) is given by (2), when the unknown parameter vector, W, is substituted by Ŵ k − 1).

The preceding estimates imply that (3.8).

By the preceding estimates and the Cauchy's estimate, we have (2.46).

Let The preceding estimates are uniform in the domain of parameters, so the new perturbation satisfies that (2.50).

Since the marginal returnees attracted by such a policy change may have different relative productivities from the mean among the returnee pool that is already in China, our preceding estimates might not bear directly on this question.

The preceding estimates of multifunctionality in biological circuits should therefore be considered as a lower bound.

end{aligned} Combining the preceding two estimates, we obtain that begin{aligned} nabladelta u_{k+1}approx-frac{1}{p-1}nabla u_{k+1}.

First, the slope is obtained for the observed firing rates at trials preceding the estimated learning trial.