The electroweak form factorˆκ(q 2) and the running of sin 2 ˆ θ W Gauge independent form factors ρ (e; e) andˆκ (e; e) (q 2) for Møller scattering at s ≪ m 2 W are derived. It is pointed out thatˆκ (e; e) is very different from its counterparts in other processes. The relation between the effective parameterˆκ (e; e) (q 2 , µ) sin 2 ˆ θ W (µ) and sin 2 θ lept ef f is derived in a scale-independ...

Given that r and s are natural numbers and X ∼ Binomial(r, q) and Y ∼ Binomial(s, p) are independent random variables where q, p ∈ (0, 1), we prove that the likelihood ratio of the convolution Z = X + Y is decreasing, increasing, or constant when q < p, q > p or q = p, respectively. © 2009 Elsevier B.V. All rights reserved.

For a half-translation surface ( S , q ) $(S,q)$ the associated saddle connection complex A $\mathcal {A}(S,q)$ is simplicial where vertices are connections on with simplices spanned by sets of pairwise disjoint connections. This can be naturally regarded as an induced subcomplex arc complex. We prove that any isomorphism ? : ? ? $\phi \colon \mathcal {A}(S,q) \rightarrow {A}(S^{\prime },q^{\pr...

Abstract In this article, we study a generalized Bohr radius $R_{p, q}(X), p, q\in [1, \infty )$ defined for complex Banach space X . particular, determine the exact value of q}(\mathbb {C})$ cases (i) $p, 2]$ , (ii) $p\in (2, ), and (iii) [2, Moreover, consider an n -variable version q}^n(X)$ quantity q}(X)$ q}^n(\mathcal {H})$ infinite-dimensional Hilbert $\mathcal {H}$ precise asymptotic as ...

We consider two independent q-Gaussian random variables X0 and X1 and a function γ chosen in such a way that γ(X0) and X0 have the same distribution. For q ∈ (0, 1) we find that at least the fourth moments of X0 + X1 and γ(X0) + X1 are different. We conclude that no q-deformed convolution product can exist for functions of independent q-Gaussian random variables. 1995 PACS numbers: 02.50.Cw, 05...

Let G be a graph on n vertices in which every induced subgraph on s = log n vertices has an independent set of size at least t = logn. What is the largest q = q(n) so that every such G must contain an independent set of size at least q ? This is one of several related questions raised by Erdős and Hajnal. We show that q(n) = Θ(log n/ log log n), investigate the more general problem obtained by ...

We present a QCD based interpretation of heavy quark fragmentation which utilizes the heavy quark mass expansion. By distinguishing between perturbative and non-perturbative QCD effects, we show how to reliably extract mass independent parameters characterizing the fragmentation function. Because these parameters are quark mass independent, this procedure should permit tests of heavy quark symm...

Natural convection heat transfer was investigated experimentally in a concentric-cylinders annulus. To enhance the rate of heat transfer, pin fins were installed on the surface of the inner cylinder. Two fin arrangements were employed, namely, staggered and in-line arrangements. The length of the fins varied from 2 to 8 cm and the Rayleigh number Ra changed in the range from 5 x 105  to 5 x 106...

Let G be a graph on n vertices in which every induced subgraph on s = log n vertices has an independent set of size at least t = log n. What is the largest q = q(n) so that every such G must contain an independent set of size at least q ? This is one of several related questions raised by Erdős and Hajnal. We show that q(n) = Θ(log n/ log log n), investigate the more general problem obtained by...