Point-wise monotonicity (in parameters) for various one-parameter families of scalar means such as power difference means, binomial means and Stolarsky means is well known, but norm comparison for corresponding operator means requires monotonicity in the sense of positive definiteness.
Although there may be ties among the expected utilities — all infinite — for believing in various ones among them, their respective probabilities can be used as tie-breakers.
We conducted a series of linear regressions to assess the association between the SAPAS and number of personality disorder criteria controlling for various confounders, one for each cluster, and one for total number of personality disorder criteria.
Following the 36 month examination, 26 patients were either lost for follow-up or were not eligible for various reasons: One patient was the only patient treated in one centre and it seemed unreasonable to request ethical permission.
However, Backes-Gellner (2011) cast doubt on this esteem indicator for various reasons, one of which being that unlike productivity indicators, it leaves more room for manipulation and discriminates against younger scholars.
It might be best for various reasons (one of them legal) simply to imagine the dilemma.
"The board may be a little gun-shy for various reasons," one executive involved in the discussions said.
It has been a little slow these last two weeks for various reasons, one of them being that I have been unable to hold back from The Life of Augie March, a very good thing indeed..."...
* For various reasons, one of those companies didn't want any publicity for its pitch, so we're excluding it from our coverage.
Another inference from the study was that for various reasons – one of which is hazardous location – slums are perceived to be temporary and as a result, there is low incentive to invest in slums.
For decades, the county has been cast as the bogeyman of the Middle East by many in the West, for various reasons, one being Iran's dire human rights record.
