Sentence examples for sufficient analytic from inspiring English sources

We have established that it is possible to recruit enough subjects with migraine to obtain comparison groups with sufficient analytic power, though an enrollment period of 18 months would be needed to obtain at least 45 subjects in each group.

Internationally, this is also one of the few population-based initiatives where a) questions were focused on the decedent's primary location of care during the last 30 days of life, not the final location of death, and b) there was sufficient analytic capability to apply multivariable adjustments in the examination of differences between locations.

This paper sets out resolvent conditions for null-controllability in arbitrary time: necessary for general semigroups, sufficient for analytic normal semigroups.

However, data quality assessment and triangulation, like other aspects of mortality measurement, require sufficient competent analytic capacity.

Then some analytic sufficient conditions of the chaos control from the SDTDFC approach are derived for stabilization.

In this work, we derive a sufficient condition for analytic function to be in the class SS ∗.

We may refer to [5 7] for more sufficient conditions on analytic functions to be convex in one direction.

Going beyond discontinuous fields would require extending our analysis to account for higher-order terms and this might not even be sufficient to characterise analytic velocity fields.

Applying the same method as that used in the proof of the aforementioned theorems and Lemma 1, we have the following sufficient conditions on analytic functions to be starlike in one direction.

If any definition can be questioned by a competent speaker, and we think there are at least some definitions sufficient to underwrite analytic truths, then the mere fact that a speaker can doubt a candidate analysis may not tell against that analysis.

The main object of this investigation is to give some sufficient conditions for analytic functions, by the method of p-subordination chains, to be the p th power of a univalent function in the open unit disk U. Also, the significant relationships and relevance to other results are also given.