BACKGROUND Controversies are common in medicine. Some arise when the conclusions of research publications directly contradict each other, creating uncertainty for frontline clinicians. DISCUSSION In this paper, we review how researchers can look at very similar data yet have completely different conclusions based purely on an over-reliance of statistical significance and an unclear understand...

A t-interval is a union of at most t half-open intervals on the real line. An interval is the special case where t = 1. Requests for contiguous allocation of a linear resource can be modeled as a sequence of t-intervals. We consider the problems of online selection of intervals and t-intervals, which show up in Video-on-Demand services, high speed networks and molecular biology, among others. W...

We introduce a reversible Markovian coagulation-fragmentation process on the set of partitions of {1, . . . , L} into disjoint intervals. Each interval can either split or merge with one of its two neighbors. The invariant measure can be seen as the Gibbs measure for a homogeneous pinning model [9]. Depending on a parameter λ, the typical configuration can be either dominated by a single big in...

In this paper we consider twist mappings of the torus, T : T2 → T2, and their vertical rotation intervals ρV (T ) = [ρ − V , ρ + V ], which are closed intervals such that for any ω ∈]ρV , ρ+V [ there exists a compact T -invariant set Qω with ρV (x) = ω for any x ∈ Qω , where ρV (x) is the vertical rotation number of x. In case ω is a rational number, Qω is a periodic orbit (this study began in ...

Acoustic-phonetic landmarks provide robust cues for speech recognition and are relatively invariant between speakers, speaking styles, noise conditions and sampling rates. The ability to detect acoustic-phonetic landmarks as a front-end for speech recognition has been shown to improve recognition accuracy. Biomimetic inter-spike intervals and average signal level have been shown to accurately c...

A t-interval is a union of at most t half-open intervals on the real line. The special case where t = 1 is an interval. Often, the requests for contiguous allocation of a linear resource can be modeled by a sequence of t-intervals. We consider the problems of online scheduling intervals and t-intervals, which show up in Video-on-Demand services, high speed networks and molecular biology, among ...

∗Work supported by the Ministry of Science of Slovenia and by the Ministry of Science and Technology of India under the bilateral India-Slovenia grants BI-IN/06-07-002 and DST/INT/SLOV-P03/05, respectively. †Authors are also with the Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia.

This paper concerns the ergodic theory of a class of nonlinear dissipative PDEs of parabolic type. Leaving precise statements for later, we first give an indication of the nature of our results. We view the equation in question as a semi-group or dynamical system St on a suitable function space H , and assume the existence of a compact attracting set (as in Temam [15], Chapter 1). To this deter...

A ring $R$ with an automorphism $sigma$ and a $sigma$-derivation $delta$ is called $delta$-quasi-Baer (resp., $sigma$-invariant quasi-Baer) if the right annihilator of every $delta$-ideal (resp., $sigma$-invariant ideal) of $R$ is generated by an idempotent, as a right ideal. In this paper, we study Baer and quasi-Baer properties of skew PBW extensions. More exactly, let $A=sigma(R)leftlangle x...