Amyloidogenic determinants are usually not buried

Ordering events: Intervals are sufficient, more general sets are usually not necessary

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Not Always Buried Deep

Aminophylline for COPD exacerbations? Not usually.

T heophylline is one of those medications that has intrigued and possibly confused clinicians and pharmacologists alike since the mid 19th century. Related agents caffeine and theobromine were used in the 1930s as bronchodilators, and theophylline developed an established place in the management of acute airflow obstruction associated with asthma and chronic obstructive pulmonary disease (COPD)...

The Sobolev Embeddings Are Usually Sharp

Let s ∈ R and p ≥ 1; the Sobolev space Lp,s(Rd) is the space of tempered distributions f such that (Id−∆)s/2 f ∈ Lp, where (Id−∆)s/2 is the Fourier multiplier by (1 + |ξ|2)s/2. If s > d/p, then Lp,s is composed of continuous functions; more precisely, the Sobolev embeddings state that Lp,s↩Cs−d/p, see [24, Chapter 11]. In order to state in which sense this embedding is sharp, we need to recall ...

Holding onto power: why confidence intervals are not (usually) the best basis for sample size calculations

Results With a little simplification, the sample size calculations for the traditional power-based approach, for equivalence studies, and following the new proposal can be shown to be much the same. The single fundamental difference is that the new proposal does not include a multiplier to increase the statistical power beyond 50% (i.e. only a 50:50 chance of detecting a true treatment effect o...