Abstract We consider the Euler characteristics $\chi (M)$ of closed, orientable, topological $2n$ -manifolds with $(n-1)$ -connected universal cover and a given fundamental group G type $F_n$ . define $q_{2n}(G)$ , generalised version Hausmann-Weinberger invariant [19] for 4–manifolds, as minimal value $(-1)^n\chi For all $n\geq 2$ we establish strengthened extended their estimates, in terms ex...

We look at a number of simple, but representative, models of extended electroweak gauge structures, and present the general contributions to aμ from the heavy Z ′ and W′ electroweak gauge bosons. Of the models we have examined, none can explain the observed discrepancy between the current experimental value of aμ and the Standard Model prediction if we require that the gauge fields explain the ...

We look at a number of simple, but representative, models of extended electroweak gauge structures, and present the general contributions to aμ from the heavy Z ′ and W′ electroweak gauge bosons. Of the models we have examined, none can explain the observed discrepancy between the current experimental value of aμ and the Standard Model prediction if we require that the gauge fields explain the ...

In this paper we derive the well known EBW reestimation formulae for Gaussian mixture models using the recently proposed reverse Jensen inequality. In addition to the simplicity of the derivation, it leads to closed form expressions for the D of each Gaussian in the mixture. Using some approximations, it is shown that the expressions can be reduced to the popular formula of [8] with a Gaussian ...