Conservative upwind difference schemes for the Euler equations for real gas flows in a duct

In a recent paper [P. Glaister, Conservative upwind difference schemes for compressible flows in a Duct, Comput. Math. Appl. 56 (2008) 1787–1796] numerical schemes based on a conservative linearisation are presented for the Euler equations governing compressible flows of an ideal gas in a duct of variable cross-section, and in [P. Glaister, Conservative upwind difference schemes for compressible flows of a real gas, Comput. Math. Appl. 48 (2004) 469–480] schemes based on this philosophy are presented for real gas flows with slab symmetry. In this paper we seek to extend these ideas to encompass compressible flows of real gases in a duct. This will incorporate the handling of additional terms arising out of the variable geometry and the non-ideal nature of the gas.

Difference in competence for in vitro proliferation and ex vitro growth of genetically identical mature and juvenile clones of apomictic Malus species

The apomictic system in Malus wits Used Is a model to examine rejuvenation by generating genetically identical tissue culture lines that had two entirely different developmental origins: either embryo-derived tissues (juvenile clones) or somatic tissue from the adult/mature tree (mature clones). These two lines were then subsequently used to examine in vitro difference between mature (M) and juvenile (J) tissues in potential for shoot, root proliferation and ex vitro (glasshouse) growth. The M clones of M. hupehensis and M. toringoides in vitro had significantly fewer total shoots and shoot more than 2 cm in length per proliferating explant than the J clones and also rooted less efficiently. Ex vitro (glasshouse) juvenile clones had shorter internodes, a greater number of leaves and more dry weight compared to their mature counterparts.

The failure of meta-analytic asymptotics for the seemingly efficient estimator of the common risk difference

We consider the case of a multicenter trial in which the center specific sample sizes are potentially small. Under homogeneity, the conventional procedure is to pool information using a weighted estimator where the weights used are inverse estimated center-specific variances. Whereas this procedure is efficient for conventional asymptotics (e. g. center-specific sample sizes become large, number of center fixed), it is commonly believed that the efficiency of this estimator holds true also for meta-analytic asymptotics (e.g. center-specific sample size bounded, potentially small, and number of centers large). In this contribution we demonstrate that this estimator fails to be efficient. In fact, it shows a persistent bias with increasing number of centers showing that it isnot meta-consistent. In addition, we show that the Cochran and Mantel-Haenszel weighted estimators are meta-consistent and, in more generality, provide conditions on the weights such that the associated weighted estimator is meta-consistent.