In 1996 Goulden and Jackson introduced a family of coefficients $( c_{\pi, \sigma}^{\lambda} ) $ indexed by triples partitions which arise in the power sum expansion some Cauchy for Jack symmetric functions $(J^{(\alpha )}_\pi )$. The can be viewed as an interpolation between structure constants class algebra double coset algebra. suggested that are polynomials variable $\beta := \alpha-1$ with...

The transcription factors CCAAT/enhancer-binding proteins alpha and beta (C/EBP alpha and C/EBP beta) are highly expressed in liver and are believed to function in maintaining the differentiated state of the hepatocytes. C/EBP alpha appears to be a critical regulator of genes involved in metabolic processes. We are interested in the roles of C/EBP in the expression of the very-low-density apoli...

this paper is an investigation of $l$-dual frames with respect to a function-valued inner product, the so called $l$-bracket product on $l^{2}(g)$, where g is a locally compact abelian group with a uniform lattice $l$. we show that several well known theorems for dual frames and dual riesz bases in a hilbert space remain valid for $l$-dual frames and $l$-dual riesz bases in $l^{2}(g)$.

From a smooth, strictly convex function phi: Rn --> R, a parametric family of divergence function Dphi(alpha) may be introduced: [ equation: see text] for x, y epsilon int dom (Phi) subset Rn, and for alpha in R, with Dphi(+/-1) defined through taking the limit of alpha. Each member is shown to induce an alpha-independent Riemannian metric, as well as a pair of dual alpha-connections, which are...

We have isolated a temperature-sensitive mutant of Klebsiella aerogenes unable to grow aerobically at 42 C in standard glucose minimal medium containing 0.03 M ammonium sulfate as a source of nitrogen. This strain, MK810, will grow at this temperature in significantly lower concentrations of ammonia (1 mM) or when ammonia is replaced by a growth rate-limiting source of nitrogen such as histidin...