Sentence examples for proven estimates from inspiring English sources

The company, which has started a large asset-sale program to help reduce its debt from its unsuccessful merchant power and telecommunications businesses, said in a Securities and Exchange Commission filing that it expected a "material negative revision" to its proven estimates.

We restate the problem of determining BRR K1,λ,Kr,s) in matrix form and prove estimates and exact values for several choices of the parameters.

On the road we also prove estimates on oscillatory integrals particularly suitable to derive large-time asymptotic systems that could be of some general interest.

Using different techniques, in Theorem 2.1 and Theorem 2.2, we prove estimates (2.3) and (2.4) (note that assumption (2.2) is not used in Theorem 2.2).

We note that our method allows us to prove estimates (1.4) and (1.6) for any (betageq0) (in particular, see Lemmas 2.3 and 2.4).

As they added in a "Note added in proof", shortly before their paper, Kenig et al. [366] proved estimates that imply Theorem 14.9.   2.

Last December's Shell report said, "With hindsight, it might have been more appropriate to correct the expectation estimate down rather than the proved estimate upwards".

Now we prove estimate (4).

Step 2. Now we prove estimate (2.9).

Let us first prove estimate (3.1).

Sufficient conditions are given to prove estimate error stability.