5-Formyluracil (5-foU) is a potentially mutagenic lesion of thymine produced in DNA by ionizing radiation and various chemical oxidants. Although 5-foU has been reported to be removed from DNA by Escherichia coli AlkA protein in vitro, its repair mechanisms are not fully understood. In this study, we used the borohydride trapping assay to detect and characterize repair activities for 5-foU in E...

Using the theory of Newton Polygons, we formulate a simple criterion for the Galois group of a polynomial to be “large.” For a fixed α ∈ Q−Z<0, Filaseta and Lam have shown that the nth degree Generalized Laguerre Polynomial L (α) n (x) = ∑n j=0 ( n+α n−j ) (−x)/j! is irreducible for all large enough n. We use our criterion to show that, under these conditions, the Galois group of L (α) n (x) is...

For a given sequence of positive Borel measures {l^kj^Lx in the complex plane C and p > 0, we study the asymptotic behavior of the sequence of the nth degree monic polynomials with minimal Lp{dyL]c) norm as k —► oo. Applications to the frequency analysis 'problem and orthogonal polynomials are discussed. In particular, a "Zfn-result" is established for the i?-process proposed in the recent work...

A Coxeter group element w is fully commutative if any reduced expression for w can be obtained from any other via the interchange of commuting generators. For example, in the symmetric group of degree n, the number of fully commutative elements is the nth Catalan number. The Coxeter groups with finitely many fully commutative elements can be arranged into seven infinite families An , Bn , Dn , ...

Almost stochastic dominance (ASD) as proposed by Leshno and Levy (2002) has been widely applied in decision theory and in practice. It can help to identify the preferred distribution for the majority of decision makers when a small violation in stochastic dominance is involved. The purpose of this paper is to experimentally define the preference parameters in the set of most decision makers. By...

Abstract. Let φ(x) be a rational function of degree > 1 defined over a number field K and let Φn(x, t) = φ (x) − t ∈ K(x, t) where φ(x) is the nth iterate of φ(x). We give a formula for the discriminant of the numerator of Φn(x, t) and show that, if φ(x) is postcritically finite, for each specialization t0 of t to K, there exists a finite set St0 of primes of K such that for all n, the primes d...

In this paper, we consider bifurcation of small limit cycles from Hopf-type singular points in Z5-equivariant planar vector fields of order 5. We apply normal form theory and the technique of solving coupled multivariate polynomial equations to prove that the maximal number of small limit cycles that such vector fields can have is 25. In addition, we show that no large limit cycles exist. Thus,...

Here a proof will be given by a variational method which already has been used to prove Sendov’s conjecture (s. [2]). Let n > 1 be fixed and define Fn as the class of nth degree monic complex polynomials p with p(0) = 0, p(0) 6= 0 and p(ζ) 6= 0 for all derivative zeros ζ of p. Obviously it suffices to consider polynomials p ∈ Fn in order to give a proof of Smale’s conjecture. For such p we defi...