Stable Direct Adaptive Control of Linear Infinite-dimensional Systems Using a Command Generator Tracker Approach

A command generator tracker approach to model following contol of linear distributed parameter systems (DPS) whose dynamics are described on infinite dimensional Hilbert spaces is presented. This method generates finite dimensional controllers capable of exponentially stable tracking of the reference trajectories when certain ideal trajectories are known to exist for the open loop DPS; we present conditions for the existence of these ideal trajectories. An adaptive version of this type of controller is also presented and shown to achieve (in some cases, asymptotically) stable finite dimensional control of the infinite dimensional DPS

Extended Defects in the Potts-Percolation Model of a Solid: Renormalization Group and Monte Carlo Analysis

We extend the model of a 2$d$ solid to include a line of defects. Neighboring atoms on the defect line are connected by ?springs? of different strength and different cohesive energy with respect to the rest of the system. Using the Migdal-Kadanoff renormalization group we show that the elastic energy is an irrelevant field at the bulk critical point. For zero elastic energy this model reduces to the Potts model. By using Monte Carlo simulations of the 3- and 4-state Potts model on a square lattice with a line of defects, we confirm the renormalization-group prediction that for a defect interaction larger than the bulk interaction the order parameter of the defect line changes discontinuously while the defect energy varies continuously as a function of temperature at the bulk critical temperature.Comment: 13 figures, 17 page

Eyelid development, fusion and subsequent reopening in the mouse

The process of eyelid development was studied in the mouse. The critical events occur between about 15.5 d postcoitum (p.c.) and 12 d after birth, and were studied by conventional histology and by scanning electron microscopy. At about 15.5 d p.c. the cornea of the eye is clearly visible with the primitive eyelids being represented by protruding ridges of epithelium at its periphery. Over the next 24 h, eyelid development proceeds to the stage when the cornea is completely covered by the fused eyelids. Periderm cells stream in to fill the gap between the developing eyelids. Their proliferative activity is such that they produce a cellular excrescence on the outer surface of the line of fusion of the eyelids. This excrescence had almost disappeared by about 17.5 d p.c. Keratinisation is first evident at this stage on the surface of the eyelids and passes continuously from one eyelid to the other. Evidence of epidermal differentiation is more clearly seen in the newborn, where a distinctive stratum granulosum now occupies about one third of its entire thickness. Within the subjacent dermis, hair follicles are differentiating. By about 5 d after birth, a thick layer of keratin extends without interruption across the junctional region. While a noticeable surface indentation overlies the latter, a similar depression is only seen on the conjunctival surface by about 10 d after birth. Keratinisation is also observed to extend in from the epidermal surface to involve the entire region between the 2 eyelids at about this time.(ABSTRACT TRUNCATED AT 250 WORDS

Potts-Percolation-Gauss Model of a Solid

We study a statistical mechanics model of a solid. Neighboring atoms are connected by Hookian springs. If the energy is larger than a threshold the "spring" is more likely to fail, while if the energy is lower than the threshold the spring is more likely to be alive. The phase diagram and thermodynamic quantities, such as free energy, numbers of bonds and clusters, and their fluctuations, are determined using renormalization-group and Monte-Carlo techniques.Comment: 10 pages, 12 figure

Kinetics and mechanism of the formation of water cluster ions from O2(plus) and H2O in He, Ar, N2, and O2 at 296 K

The reaction sequence leading from O2(+) to H3O(+)-H2O was examined in He, Ar, N2 and O2 carrier gases in a flowing afterglow system. The rate constants for the reactions were measured and the kinetic analysis for their determination is presented. For M = N2, two new steps involving the formation and reaction of O2(+)-N2 were proposed and examined. The rate constants are discussed and compared with other experimental values

How should you evaluate an asymptomatic patient with a femoral or iliac artery bruit?

Perform an ankle-arm index (AAI, or ankle- brachial index) test to evaluate for peripheral artery disease (PAD) (strength of recommendation [SOR]: B, cohort studies). If the test detects PAD, recommend steps to modify cardiovascular risk factors (SOR: B, extrapolation from randomized clinical trials [RCTs])

Theory of transient spectroscopy of multiple quantum well structures

A theory of the transient spectroscopy of quantum well (QW) structures under a large applied bias is presented. An analytical model of the initial part of the transient current is proposed. The time constant of the transient current depends not only on the emission rate from the QWs, as is usually assumed, but also on the subsequent carrier transport across QWs. Numerical simulation was used to confirm the validity of the proposed model, and to study the transient current on a larger time scale. It is shown that the transient current is influenced by the nonuniform distribution of the electric field and related effects, which results in a step-like behavior of the current. A procedure of extraction of the QW emission time from the transient spectroscopy experiments is suggested.Comment: 5 pages, 4 figures, to be published in J. Appl. Phy

First and Second Halls of the RMS

The Society’s First Hall (1775-1852) in Surgeons’ Square Towards the end of 1734, a group of six medical students agreed that they should meet in the evening once a fortnight at their respective lodgings, and that a dissertation on some medical subject, at the choice of the Society, should be composed and read at each of those meetings. This laid the foundations for the Royal Medical Society. The Medical Society was formally constituted in 1734 with ten members, and early meetings were held in a tavern close to the University. A president was appointed to supervise the business of the meeting, and fines were instituted for those that were absent without due cause. A treasurer was appointed to collect these dues, and a secretary appointed to provide a formal record of the proceedings