Abstract. Let X1, ..., Xn1 be a random sample from a population with mean μ1 and variance σ 2 1 , and Y1, ..., Yn2 be a random sample from another population with mean μ2 and variance σ 2 2 independent of {Xi, 1 ≤ i ≤ n1}. Consider the two sample t-statistic T = X̄−Ȳ −(μ1−μ2) √ s1/n1+s 2 2/n2 . This paper shows that lnP (T ≥ x) ∼ −x2/2 for any x := x(n1, n2) satisfying x → ∞, x = o(n1 + n2) as n...

and Applied Analysis 3 If one of the following conditions ii ψ ◦ φ−1 is concave and ψ−1 is operator monotone, ii′ ψ ◦ φ−1 is convex and −ψ−1 is operator monotone, is satisfied, then the reverse inequality is valid in 1.7 . In this paper we study an extension of Jensen’s inequality given in Theorem A. As an application of this result, we give an extension of Theorem B for a version of the quasia...

We provide the proofs for the theorems in the main paper. 1 Proofs for Planted Clustering In this section, Theorems 1–6 refer to the theorems in the main paper. Equations are numbered continuously from the main paper. We let n1 := rK and n2 := n − rK be the numbers of nonisolated and isolated nodes, respectively. 1.1 Proof of Theorem 1 The proof relies on information theoretical arguments and t...

ion : règle (comb-K). M est de la forme fun z → C où C est soit une variable différente de z, soit un opérateur, soit un setm, soit un getm. Dans ce cas, [M ] vaut K C. On cherche à montrer que fun z → C ≃ (fun x → fun y → x)C. Or on a : (fun x → fun y → x)C / s → fun y → C / s (on suppose ici que C n’est pas la variable y pour éviter les considérations sur l’alpha-conversion lors de l’applicat...

Cyclin-dependent kinases (CDKs) and their regulators show frequent abnormalities in tumors. Ten low molecular weight pharmacologic inhibitors of CDKs are currently in clinical trials against various cancers, including the 2,6,9-trisubstituted purine (R)-roscovitine (CYC202/Seliciclib). We here report the characterization of N-&-N1, a bioisoster of roscovitine displaying improved antitumoral pro...

An extract of royal jelly (RJ) induced processes from cultured rat pheochromocytoma PC12 cells. Active components were isolated, and identified as adenosine monophosphate (AMP) and AMP N1-oxide. AMP N1-oxide was more than 20 times as active as AMP, judging from the minimal concentration to elicit activity. AMP N1-oxide was thought to be responsible for about half of the process-forming activity...

Drosophila ELAV, a neuron-specific RNA binding protein, is expressed in all neurons right after their birth. This specific pattern of expression has led to its use as a pan-neuronal marker. At least three members of the elav family, HuD, HuC/ple21 and Hel-N1, have been reported to be neuron-specific in vertebrates, although it is unknown which member of this family is expressed at the time of e...

Vaccination with the A/PR 8/34 (HO N1) strain of influenza virus can decrease significantly the oncogenic activity of polyomavirus in newborn Wistar rats. This effect was regularly observed when animals were vaccinated with 24 hr after birth, whereas vaccinations performed on Days 3 and 10 failed to influence the oncogenic potential of polyoma virus. In 3 series of experiments, influenza virus ...

Lemma A.1 Consider two independent samples of sizes n0 and n1 from continuous distributions F0 and F1 with common support: X0,1, . . . , X0,n0 ∼ i.i.d. F0 and X1,1, . . . , X1,n1 ∼ i.i.d. F1. Let N = n0 + n1. Assume that the support of F0 and F1 is an interval inside [0, 1]. Let f0 and f1 be the densities of F0 and F1, respectively. Suppose that for any x in the supports of F0 and F1, f1(x)/f0(...