(1) i punti di W sono rappresentabili via l coordinate ~ A = (A1, . . . , Al) ∈ R, dette azioni, e l angoli ~ α = (α1, . . . , αl) ∈ [0, 2π] nel senso che i punti (~ p, ~q) ∈ W possono essere rappresentati, a mezzo di una trasformazione analitica di coordinate ~ p = ~ P ( ~ A, ~ α), ~q = ~ Q( ~ A, ~ α) con ( ~ A, ~ α) ∈ U × T l ove U ⊂ R è un dominio chiusura di un aperto connesso e limitato e ...

We propose a generalization of Bailey’s lemma, useful for proving q-series identities. As an application, generalizations of Euler’s identity, the Rogers–Ramanujan identities, and the Andrews–Gordon identities are derived. The generalized Bailey lemma also allows one to derive the branching functions of higher-level A (1) 1 cosets. 1. The Bailey Lemma In his famous 1949 paper, W. N. Bailey note...

In this study, the effect of α-adrenoceptor agents on imipramine-induced antinociception was investigated using formalin test. Intraperitoneal (i.p.) administration of imipramine at different doses (10-80 mg/kg) induced antinociception in both phases of formalin test. In addition, intracerebroventricular (i.c.v.) injection of imipramine (1, 5, and 10 µg/rat) did not elicit any effect, although ...

The Large Hadron Collider (LHC) will study processes at energies √ s much larger than the masses of the W and Z bosons. Radiative (Sudakov) corrections to such processes contain logarithms L = log(s/M W,Z), and one gets two factors of L for each order in perturbation theory [1]. At LHC energies, these Sudakov corrections are not small — a typical electroweak correction αL/(4π sin θW ) ∼ 0.15 at...

Abstract. Let (Xn) be a strictly stationary sequence with a marginal distribution function F such that 1 − F (x) = x−αL(x), x > 0, where α > 0 and L(x) is a slowly varying function. We assume that only observations of (Xn) are available at certain points. Under assumption of weak dependency we proved the consistency of Hill’s estimator of the tail index α based on an incomplete sample from {X1,...

We study the behavior of tail a measure μ⊠t, where ⊠t is t-fold free multiplicative convolution power for t≥1. focus on case μ probability positive half-line with regularly varying right i.e. form x−αL(x), L slowly varying. obtain phase transition in μ⊞t between regimes α<1 and α>1. Our main tool description regular variation terms corresponding S-transform at 0−. also describe tails ⊠ infinite...

Perhaps the most common theme in Fritz Gesztesy’s broad opus is the study of problems with periodic or almost periodic finite gap differential and difference equations, especially those connected to integrable systems. The present paper reviews recent progress in the understanding of finite gap Jacobi matrices and their perturbations. We’d like to acknowledge our debt to Fritz as a collaborator...

We measured counter-current flow limitation (CCFL), pressure gradient dP/dz, and void fraction αG in a 40 mm diameter vertical pipe with the rounded top bottom ends working fluids of air water under flooding conditions, we obtained wall interface friction factors, fw fi. compared CCFL, αG, fi those from our previous experiments pipes sharp-edged ends, ends. As result, shape upper end affected c...

Due to the increasing demand for eco-friendly, inexpensive sound absorbers, this study investigated composites made from recycled paper pulp and urea-formaldehyde adhesive. By varying contents, five samples used copy corrugated board were fabricated. For same type of porous absorber, one with a lower bulk density has higher total porosity, resulting in absorption coefficient (SAC) spectrum. Sou...