Let p = 1/q ∈ Z \ {0,±1}. The new bound μ(hp(1)) 6 2.46497868 . . . for the irrationality measure of the q-harmonic series hp(1) = ∑∞ n=1 q n/(1 − qn) is proved. The essential ingredient of the proof is a permutation group originated by classical transform of the Heine series. 2000 Mathematics Subject Classification. 11J82, 33D15.

Here we study the almost sure almost everywhere convergence of random series of the form ∑∞ i=1 aifi in the Lebesgue spaces L p(X,Σ, μ), where the ai’s are centered random variables, and the fi’s constitute an unconditional basic sequence or an lp stable sequence. We show that if one of these series converges in the norm topology almost surely, then it converges almost everywhere almost surely.

In this address, I will discuss the importance of basic science in tackling our health problems. I will also describe how the funding cuts are damaging our economic competitiveness and turning our young people away from science.

Using a multiple stage age of infection model, we derive an expression for the basic reproduction number, R0. We apply this method to find R0 in analogous treatment models. We find, in the model without treatment, R0 depends only on the mean infective period, and not on the infective distribution. In treatment models, R0 depends on the mean infective and mean treatment period, as well as the di...

This paper describes the Barcelona Media SMT system in the IWSLT 2009 evaluation campaign. The Barcelona Media system is an statistical phrase-based system enriched with source context information. Adding source context in an SMT system is interesting to enhance the translation in order to solve lexical and structural choice errors. The novel technique uses a similarity metric among each test s...

Given an integral “stamp” basis Ak with 1 = a1 < a2 < . . . < ak and a positive integer h, we define the h-range n(h, Ak) as n(h, Ak) = max{N ∈ N | n ≤ N =⇒ n = k ∑

It has appeared that the currently dominant identifications of the ha-BI-ru as a social class of one sort or another are inadequate. They fail to discover a common denominator for all the ha-BI-ru (and the ha-BI-ru alone) that will satisfy all the known documents. The investigation must turn to other possibilities. Was ethnic unity the peculiar stamp of the ha-BI-ru? Was their hallmark the prac...

A short Polish phrase was spoken by aphonetician with 8 different intonations, and these Prototypes were imitated 10 times each by 15 speakers. Each of the 1200 u t terances was represen ted as a -vector in an 8-D space. 8 quadratic and 8 linear discriminant functions (DFs) were calculated for each of the 1200 utterance-vectors. The DF with the highest value indica ted the assignment of the tok...

The evaluation of a program’s behavior in the presence of transient faults is often a very time consuming work. In order to achieve significant data, thousands of executions are normally required and each execution will have the significant overhead of the fault injection environment. Our previously published methodology reduced significantly the time needed to evaluate the robustness of a prog...