We depict the weight diagrams of basic and adjoint representations of complex simple Lie algebras/algebraic groups and describe some of their uses.

A noteworthy point in the development of the dairy industry is proper record keeping. Record keeping improves a farmer’s decision making significantly, as errors are eradicated and saves the farm’s vital scarce resource, mainly over time. In this paper, a new computerized recording system platform with the name of Individual Cow Recording and Analysis System (ICRAS©) is introduced for the usage...

We present here biophysical models to gain deeper insights into how an acoustic stimulus might influence or modulate neuronal activity. There is clear evidence that neural activity is not only associated with electrical and chemical changes but that an electro-mechanical coupling is also involved. Currently, there is no theory that unifies the electrical, chemical, and mechanical aspects of neu...

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 ∑