An analvtic techniaue is Dresented for comwhere Q, is the channel rrain. and w, is an additive Gaus" I puting the performance of trellis coded q-ary PSK in Rayleigh fading. A contour-integral expression for the pairwise error probability (PEP) is used to define a transfer function, enabling the union bound to be evaluated exactly for the ideal CSI (channel state information) case and imperfect-...

We will be concerned here with infinite dimensional representations of a complex semisimple Lie algebra g . In more detail, let Ug be the universal enveloping algebra of g , and let Z(g) be the center of Ug . We consider the category of Ug -modules annihilated by a great enough (unspecified) power of a maximal ideal in Z(g) . It is natural to compare the categories corresponding to two differen...

An important predictor of historical sound change, functional load, fails to capture insights from speech perception. Building on ideal observer models of word recognition, we devise a new definition of functional load that incorporates both a priori expectedness and perceptual information. We explore this new measure with a simple model and find that it outperforms tra-

Let H d (t ≥ −d, t > −3) be the reproducing kernel Hilbert space on the unit ball B d with kernel k(z, w) = 1 (1− 〈z, w〉)d+t+1 . We prove that if an ideal I ⊳ C [z1 , . . . , zd] (not necessarily homogeneous) has what we call the approximate stable division property, then the closure of I in H d is p-essentially normal for all p > d. We then show that all quasi homogeneous ideals in two variabl...

We show that cores of ideals do not preserve the inclusion. Huneke and Swanson[2] raised the question of whether, given integrally closed ideals I ⊂ I ′ in a ring R, it is necessarily true that core(I) ⊂ core(I ). Hyry and Smith [4, Corollary 5.5.1] gave a partial answer. The purpose of this note is to show that the answer is no in general. Although the simplest counterexample is a principal id...

has maximal rank, i.e. it is injective or surjective. In this case, the linear form L is called a Lefschetz element of A. (We will often abuse notation and say that the corresponding ideal has the WLP.) The Lefschetz elements of A form a Zariski open, possibly empty, subset of (A)1. Part of the great interest in the WLP stems from the fact that its presence puts severe constraints on the possib...

OBJECTIVE To evaluate the nutritional status of a group of cystic fibrosis patients and establish the role of nutrition education addressed to them in a comparative study before and after intervention. METHODS All cystic fibrosis patients in regular follow-up in the pulmonology clinic of Instituto da Crianca during 1996-99 were prospectively monitored for 3.5 years. Measurements of weight, he...

The standard references for this section are [Gro91], [Kol90] and [McC91]. Let E be an elliptic curve over Q of conductor N . Let K = Q( √ −D), where −D is a fundamental discriminant, D #= 3, 4, and all prime factors of N are split in K, i.e. (N) = NN̄ for an ideal N of the ring of integers OK of K with OK/N $ Z/NZ. We call such a discriminant a Heegner discriminant for E/Q. By the modularity th...

Let ? be a fixed complex number, and let simply connected region in plane C that is starlike with respect to ?. We define some Banach space of analytic functions on prove it algebra the ?-Duhamel product defined by (f?? g)(z) := d/dz z?? f(z+??t)g(t)dt. its maximal ideal consists homomorphism h? h?(f)=f(?). Further, we characterize lattice invariant subspaces integration operator J?f(z)=?z? f(t...