Sentence examples for estimates involve the from inspiring English sources

In particular, we employ (weighted) type I a posteriori bounds to drive adaptive finite element algorithms for the estimation of the error measured in terms of general target functionals of the solution; these error estimates involve the product of the finite element residuals with local weighting terms, involving the solution of a certain dual problem that must be numerically approximated.

One of the main challenges of in-place volume estimates involves the estimation of average-reservoir pressure with production.

Indeed, the map Y↦g(Y) is only locally Lipschitz in p-variation norm (Lemma 2), which, in general, presents a problem when trying to close estimates involving the expectation of the processes under consideration.

This requires us to obtain a number of new estimates involving the heat kernel, which are based on the Gaussian bounds for fundamental solutions for the operator (L_{A} = sum_{i,j = 1}^{m} {a_{ij} X_{i} X_{j} } - partial_{t} ) (see [11]).

Arnold had given George nine days to write the plan, which would be "Annex 2, Air Requirements" to "The Victory Program," a plan of strategic estimates involving the entire U.S. military.

For any given comparison (e.g. BC) we estimate the indirect mean treatment effect,, as a simple contrast of two direct estimates involving the third treatment, and we compare it with the corresponding direct estimate.

However, using the parents as reference means that half of the hybridizations involve comparisons between samples from different sexes, and copy number estimates involving the X-chromosome(s) requires manual CNV identification by analysis of raw log2 ratios with the NimbleGen and Affymetrix 500 K software when there is a sex mismatch.

I called the painters for an estimate involving the front porch and balcony.

One is for general submanifolds in a space form, where the estimate involves the length of the mean curvature vector.

Next, we state a commutator estimate involving the Riesz operator (mathcal{R}= -Delta)^{-1}opeR}= -Deltacurldiv}).

The estimate involves the assumption that approximately 50% of the tracer detected in the brain binds to receptors in the striata.