Sentence examples for apply this observation from inspiring English sources

We apply this observation to estimate confidence intervals for the predictions.

Apply this observation to the case ( X = BG), (n=2), remarking that the groups (H^i G, {mathbb {Z}})), hence also the groups (H_i(G, {mathbb {Z}})), are torsion abelian groups for (i ge 1).

Applying this observation to the class in (12) reveals that if there was some such that is concave on for each, then the problem (10) would be a convex problem for all with.

By noticing that any real number a is greater than an integer b if this integer is given as b = ⌈a⌉ − 1 and applying this observation to q, we obtain q = log 2 S c − 3 × 2 log 2 S c − 2 + 2 − Ω c + 1.

Applying this observation back to business, daily operations aren't necessarily fun, but they are necessary.

A very useful criterion is obtained by applying this observation to the closed subspace F generated by a subset S of H.

In the rest of this report, we applied this observation to the problem of genetic risk prediction, asking whether the inclusion of genotypes from a relative of known phenotype can improve the accuracy of prediction.

We have applied this observation to our method and have successfully identified various known SMB gene clusters from the genomes of the 10 fungal species, including those outside the genus Aspergillus.

We then apply this model to observations of the surface of Mars and Titan at the terminator as acquired by OMEGA/Mars Express and VIMS/Cassini.

It would be an error to apply this model to observations with X = 0.

This observation was first made in a very small number of carefully selected normal samples [ 34] and has since been widely replicated, studied functionally and mechanistically, and is now the subject of studies applying this basic observation to treatment.