Given a power q of a prime number p and “nice” polynomials f1, . . . , fr ∈ Fq[T, X] with r = 1 if p = 2, we establish an asymptotic formula for the number of pairs (a1, a2) ∈ Fq such that f1(T, a1T + a2), . . . , fr(T, a1T + a2) are irreducible in Fq[T ]. In particular that number tends to infinity with q. MR Classification: 12E30 Directory: \Jarden\Diary\BSJ 23 December, 2011 * Alexander von ...

Let X1 X2 be a sequence of pairwise negatively dependent random variables with distributions F1 F2 on − , and let S n be the maximum of its first n partial sums S1 Sn. This article studies the asymptotic tail probabilities of Sn and S n . Under suitable regularity conditions on the distributions F1 Fn, we prove that both P Sn > x and P S n > x are asymptotic to ∑n i=1 1− Fi x as x → , indicatin...

We address the problems of 1/ assessing the confidence of the standard point estimates, precision, recall and F -score, and 2/ comparing the results, in terms of precision, recall and F -score, obtained using two different methods. To do so, we use a probabilistic setting which allows us to obtain posterior distributions on these performance indicators, rather than point estimates. This framewo...

scott and szewczyk in technometrics, 2001, have introduced a similarity measure for twodensities f1 and f2 , by1, 21 21 1 2 2( , ), ,f fsim f ff f f f< >=< >< >wheref1, f2 f1(x, θ1)f2(x, θ2)dx.+∞−∞< >=∫sim(f1, f2) has some appropriate properties that can be suitable measures for the similarity of f1 and f2 .however, due to some restrictions on the value of parameters and the kind of densities, ...

The continual detection of a slow (I1) esterase band in greenhouse cultures of Meloidogyne konaensis isolated from the field led to a hypothesis that the nematode may be polymorphic for esterase. A survey of coffee fields demonstrated at least four esterase phenotypes were present in Meloidogyne recovered. An F1 phenotype predominated (60% of the females), but an I1 phenotype was also common (3...

A number of studies have been conducted on hybridization between transgenic Brassica napus and B. rapa or backcross of F1 hybrid to their parents. However, trait changes must be analyzed to evaluate hybrid sustainability in nature. In the present study, B. rapa and transgenic (BrAGL20) B. napus were hybridized to verify the early flowering phenomenon of F1 hybrids, and F1 hybrid traits were ana...

In addition to two major alpha- and beta-subunits, the soluble oligomycin-insensitive F1ATPase purified from sweet potato root mitochondria contains four different minor subunits of gamma (Mr = 35,500), delta (Mr = 27,000), delta' (Mr = 23,000), and epsilon (Mr = 12,000) (Iwasaki, Y., and Asashi, T. (1983) Arch. Biochem. Biophys. 227, 164-173). Among these minor subunits, the delta-subunit spec...