Hypercyclic tuples of operators on $C^n$ and $R^n$

A tuple $(T_1,\dots,T_n)$ of continuous linear operators on a topological vector space $X$ is called hypercyclic if there is $x\in X$ such that the the orbit of $x$ under the action of the semigroup generated by $T_1,\dots,T_n$ is dense in $X$. This concept was introduced by N.~Feldman, who have raised 7 questions on hypercyclic tuples. We answer those 4 of them, which can be dealt with on the level of operators on finite dimensional spaces. In
particular, we prove that the minimal cardinality of a hypercyclic tuple of operators on $\C^n$ (respectively, on $\R^n$) is $n+1$ (respectively, $\frac n2+\frac{5+(-1)^n}{4}$), that there are non-diagonalizable tuples of operators on $\R^2$ which possess an orbit being neither dense nor nowhere dense and construct a hypercyclic 6-tuple of operators on $\C^3$ such that every operator commuting with each member of the tuple is non-cyclic.

Design of latch-based C-element

The C-element logic gate is a key component for constructing asynchronous control in silicon integrated circuits. The purpose of this reported work is to introduce a new speed-independent C-element design, which is synthesised by the asynchronous Petrify design tool to ensure it is composed of sequential digital latches rather than complex gates. The benefits are that it guarantees correct speed-independent operation, together with easy integration in modern design flows and processes. It is compared to an equivalent speed-independent complex gate C-element design generated by Petrify in a 130 nm semiconductor process.

Nebular emission-line profiles of Type Ib/c supernovae - Probing the ejecta asphericity

In order to assess qualitatively the ejecta geometry of stripped-envelope core-collapse supernovae (SNe), we investigate 98 late-time spectra of 39 objects, many of them previously unpublished. We perform a Gauss-fitting of the [O ] ??6300, 6364 feature in all spectra, with the position, full width at half maximum and intensity of the ?6300 Gaussian as free parameters, and the ?6364 Gaussian added appropriately to account for the doublet nature of the [O ] feature. On the basis of the best-fitting parameters, the objects are organized into morphological classes, and we conclude that at least half of all Type Ib/c SNe must be aspherical. Bipolar jet models do not seem to be universally applicable, as we find too few symmetric double-peaked [O ] profiles. In some objects, the [O ] line exhibits a variety of shifted secondary peaks or shoulders, interpreted as blobs of matter ejected at high velocity and possibly accompanied by neutron-star kicks to assure momentum conservation. At phases earlier than ~200 d, a systematic blueshift of the [O ] ??6300, 6364 line centroids can be discerned. Residual opacity provides the most convincing explanation of this phenomenon, photons emitted on the rear side of the SN being scattered or absorbed on their way through the ejecta. Once modified to account for the doublet nature of the oxygen feature, the profile of Mg i] ?4571 at sufficiently late phases generally resembles that of [O ] ??6300, 6364, suggesting negligible contamination from other lines and confirming that O and Mg are similarly distributed within the ejecta. © 2009 RAS.

Efficacy and safety of adjunctive mitomycin C during Ahmed Glaucoma Valve implantation:A prospective randomized clinical trial

Purpose To evaluate the efficacy and safety of intraoperative mitomycin C (MMC) in eyes undergoing Ahmed Glaucoma Valve implantation. Design Randomized controlled clinical trial. Participants Sixty patients with refractory glaucoma. Intervention Sixty eyes of 60 patients with refractory glaucoma were randomized to receive intraoperative MMC (0.5 mg/ml for 5 minutes) (n = 34) or balanced salt solution (n = 26) during Ahmed Glaucoma Valve implantation. Main outcome measures Surgical success was defined according to 2 different criteria: (1) postoperative intraocular pressure (IOP) between 6 and 21 mmHg, with or without antiglaucoma medications, and (2) IOP reduction of at least 30% relative to preoperative values. Eyes requiring additional glaucoma surgery, developing phthisis, or showing loss of light perception were classified as failures. Success rates in both groups were compared using Kaplan-Meier survival curves and the log rank test. Other outcome measures were mean IOP, number of glaucoma medications, and complications. Results After a mean follow-up of 12.3 months, Kaplan-Meier survival analysis showed a probability of success of 59% at 18 months for the MMC group and 61% for the control group when the first criterion for success was used (IOP between 6 and 21 mmHg). When an IOP reduction of at least 30% was used as the criterion to define success, the Kaplan-Meier survival analysis demonstrated a probability of success at 18 months of 62% for the MMC group and 67% for the control group. There were no significant differences in survival rates between the 2 groups with either criterion (P = 0.75 and P = 0.37, respectively). After 15 days postoperatively, the mean IOP did not significantly differ for both MMC and control eyes. Mean numbers of postoperative antiglaucoma medications were similar in MMC-treated eyes and controls. There was no significant difference between the incidences of postoperative complications in both groups. Conclusion Mitomycin C did not increase the short- or intermediate-term success rates of Ahmed Glaucoma Valve implantation. © 2004 by the American Academy of Ophthalmology.

Exchange systems and style in the Central Mediterranean. 4500-1700 b.c..:Unpublished PhD. Cambridge University Library

Malone, C.A.T., 1986, Unpublished PhD, Cambridge University, Cambridge.

Flexural behaviour of external R/C steel fibre reinforced beam-column joints

A softened strut-and-tie macro model able to reproduce the flexural behaviour of
external beam-column joint is presented. The model is specific for concrete with hooked steel fibres (FRC) and it is designed to calculate the flexural response, as load-deflection curve, of a beam-column sub-assemblages. The model considers the presence of a constant vertical load acting on the column and of a monotonically increasing lateral force applied at the tip of the beam.

Making space: English women, letter-writing, and the life of the mind, c.1650-1750

This article uses women's letter-writing from the late seventeenth and early eighteenth centuries to explore the home as a site of female intellectual endeavour. Far from representing a static backdrop to the action of domestic life, the home played a dynamic role in women's experiences of the life of the mind and shaped the ways in which women thought and wrote. Letters were penned in dining rooms, parlours and closets, by firesides, and on desks and laps. In their letters, women projected images of themselves scribbling epistles to friends in order to maintain their mental intimacy. Space was both real and imagined and the physical realities of a hand-written and hand-delivered letter gave way to the imaginative possibilities brought by networks of epistolary exchange and the alternative spaces of creative thought. By reinstating the home more fully in the history of female intellectual experience, a more nuanced view of the domestic arena can be developed: one that sees the home not as a site of exclusion and confinement, but as a space for scholarship and exchange. 

Identification of synergists that potentiate the action of polymyxin B against Burkholderia cenocepacia

Burkholderia cenocepacia and other members of the Burkholderia cepacia complex (Bcc) are highly multidrug-resistant bacteria that cause severe pulmonary infections in patients with cystic fibrosis. A screen of 2686 compounds derived from marine organisms identified molecules that could synergize with polymyxin B to inhibit growth of B. cenocepacia. At 1 μg/ml, five compounds synergized with polymyxin B and inhibited the growth of B. cenocepacia by more than 70% compared to growth in polymyxin B alone. Follow-up testing revealed that one compound from the screen, the aminocoumarin antibiotic novobiocin, synergized with polymyxin B and colistin against tobramycin-resistant clinical isolates of B. cenocepacia and Burkholderia multivorans. In parallel, we show that novobiocin sensitivity is common among Bcc species and these bacteria are even more susceptible to an alternative aminocoumarin, clorobiocin, which also had an additive effect with polymyxin B against B. cenocepacia. These studies support using aminocoumarin antibiotics to treat Bcc infections and show that synergizers can be found to increase the efficacy of antimicrobial peptides and polymyxins against Bcc bacteria.