Algorithm for identification in the v-gap metric

This paper suggests a method for identification in the v-gap metric. For a finite number of frequency response samples, a problem for identification in the v-gap metric is formulated and an approximate solution is described. It uses an iterative technique for obtaining an L2-gap approximation. Each stage of the iteration involves solving an LMI optimisation. Given a known stabilising controller and the L2-gap approximation, it is shown how to derive a v-gap approximation.

Interference Competition and High Temperatures Reduce the Virulence of Fig Wasps and Stabilize a Fig-Wasp Mutualism

Fig trees are pollinated by fig wasps, which also oviposit in female flowers. The wasp larvae gall and eat developing seeds. Although fig trees benefit from allowing wasps to oviposit, because the wasp offspring disperse pollen, figs must prevent wasps fr

Riemannian metric and geometric mean for positive semidefinite matrices of fixed rank

This paper introduces a new metric and mean on the set of positive semidefinite matrices of fixed-rank. The proposed metric is derived from a well-chosen Riemannian quotient geometry that generalizes the reductive geometry of the positive cone and the associated natural metric. The resulting Riemannian space has strong geometrical properties: it is geodesically complete, and the metric is invariant with respect to all transformations that preserve angles (orthogonal transformations, scalings, and pseudoinversion). A meaningful approximation of the associated Riemannian distance is proposed, that can be efficiently numerically computed via a simple algorithm based on SVD. The induced mean preserves the rank, possesses the most desirable characteristics of a geometric mean, and is easy to compute. © 2009 Society for Industrial and Applied Mathematics.

Isolation and characterization of Argonaute 2: A key gene of the RNA interference pathway in the rare minnow, Gobiocypris rarus

Argonaute 2 gene plays a pivotal role in RNAi in many species. Herein is the first report of the cloning and characterization of Argonaute 2 gene in fish. The full-length cDNA of Gobiocypris rarus Argonaute 2 (GrAgo2) consisted of 3073 nucleotides encoding 869 amino acid residues with a calculated molecular weight of 98.499 kDa and an estimated isoelectric point of 9.18. Analysis of the deduced amino acid sequence showed the presence of two signature domains, PAZ and Piwi. RT-PCR analysis indicated that GrAgo2 mRNA expression could be detected in widespread tissues. After infection with grass carp reovirus, GrAgo2 expression was up-regulated from 12 h post-injection (p < 0.05) and returned to control levels at 48 h post-injection (p > 0.05). These data imply that GrAgo2 is involved in antiviral defense in rare minnow. (C) 2008 Published by Elsevier Ltd.