Sentence examples for estimates established from inspiring English sources

The proof of both estimates is largely based on the heat kernel estimates established above.

Home-ranges within this urban study were notably smaller than previous estimates established for forested environments.

The proof of this result rests crucially on the estimates established in this paper.

Thus, by reasoning as in Theorem 3.3, and using the estimates established in Proposition 3.2, the result follows.

Now we can use the estimates established above to obtain some (W_{s}^{2,2} -a priori bounds.

From the a priori estimates established above, one sees that the compatibility conditions are used to obtain the second part of Lemma 2.6 only.

These estimates establish connection between precision parameters in the phase space and precision parameters for functional indices.

Robust, precise estimates establishing that the pandemic had mild severity (sCFR = 4.5 × 10−4, 95% credible interval: 2 × 10−4, 9 × 10−4) were published by July 2009 (9).

During public health emergencies, they are expected to provide impact estimates, establish and carry out proactive policies, and persuade other government organizations, the general public, and management personnel to take action based on their competencies [ 3].

Note, too, that the figure is an early estimate, established only through a fast and furious probe over the weekend after a whistleblower dropped the bombshell on Friday.

This Nazi representation of more than 50 percent surpasses the 40 percent estimate established by the Allies, who may have included non-Philharmonic members of the State Opera in their reckoning.