7. Let G be a group of finite order and identity e. Suppose that φ is an automorphism of G onto itself with the following properties: (1) φ(x) = x if and only if x = e; (2) φ(φ(x)) = x for each element x of G. (The mapping φ has the property that it is one-one onto and that φ(xy) = φ(x)φ(y) for each pair x, y of elements of G.) (a) Give an example of a group and automorphism for which these con...

A new monoclinic polymorph of the title compound, C(8)H(12)N(4), in the space group P2(1)/n (Z = 4) is reported. The previously known form was also monoclinic, P2(1)/c (Z = 4), but the unit-cell parameters and crystal packing were different [Shoja & Saba (1993 ▶). Acta Cryst. C49, 354-355]. The hexa-hydro-pyrimidine ring of the title compound adopts a chair conformation with a diequatorial subs...

We study the set S nc(p, q) of annular non-crossing permutations of type B, and we introduce a corresponding set NC(p, q) of annular non-crossing partitions of type B, where p and q are two positive integers. We prove that the natural bijection between S nc(p, q) and NC (p, q) is a poset isomorphism, where the partial order on S nc(p, q) is induced from the hyperoctahedral group Bp+q, while NC ...

We show that excited baryons in large Nc QCD form multiplets, within which masses are first split at O(1/Nc). The dominant couplings of resonances to various mesons are highly constrained: The N(1535) decays at leading 1/Nc order exclusively to η-N rather than π-N , and vice versa for the N(1650). This multiplet structure is reproduced by a simple large Nc quark model, well studied in the liter...

An NC 1 circuit for division of binary numbers is presented. By results of Beame, Cook and Hoover this also shows that iterated product and powering are in NC 1 , and by a result of Borodin all three operations are in log-space. This settles an open issue in parallel and space bounded arithmetic complexity.

Objective: the neck circumference (NC) as an index of obesity and upper-body subcutaneous adipose tissue distribution is recently used. This alternative screening tool is reliable, simple, quick and acceptable for assessment of overweight and obesity. the objectives of this study were to examine the correlation between NC measurement and diagnosis of general/visceral obesity and determining the...

We present a recent analysis of ε′/ε in the 1/Nc expansion. We show that the 1/Nc corrections to the matrix element of Q6 are large and positive, indicating a ∆I = 1/2 enhancement similar to the one of Q1 and Q2 which dominate the CP conserving amplitude. This enhances the CP ratio and can bring the standard model prediction close to the measured value for central values of the parameters. Seve...

in this research, we investigated the effects of medicinal plants, prebiotic and probiotic as alternatives to antibiotics on the growth performance, immune response and blood cholesterol in broilers. a total of 288 one- day-old broiler chicks (cobb 500) were randomly assigned to 6 treatments and replicated 4 times with 12 chicks per pen in a completely randomize design experiment in 6 wk. diet ...