Normal Cones and Thompson Metric

The aim of this paper is to study the basic properties of the Thompson metric $d_T$ in the general case of a real linear space $X$ ordered by a cone $K$. We show that $d_T$ has monotonicity properties which make it compatible with the linear structure. We also prove several convexity properties of $d_T$ and some results concerning the topology of $d_T$, including a brief study of the $d_T$-convergence of monotone sequences. It is shown most of the results are true without any assumption of an Archimedean-type property for $K$. One considers various completeness properties and one studies the relations between them. Since $d_T$ is defined in the context of a generic ordered linear space, with no need of an underlying topological structure, one expects to express its completeness in terms of properties of the ordering, with respect to the linear structure. This is done in this paper and, to the best of our knowledge, this has not been done yet. The Thompson metric $d_T$ and order-unit (semi)norms $|\cdot|_u$ are strongly related and share important properties, as both are defined in terms of the ordered linear structure. Although $d_T$ and $|\cdot|_u$ are only topological (and not metrical) equivalent on $K_u$, we prove that the completeness is a common feature. One proves the completeness of the Thompson metric on a sequentially complete normal cone in a locally convex space. At the end of the paper, it is shown that, in the case of a Banach space, the normality of the cone is also necessary for the completeness of the Thompson metric.Comment: 36 page

Asymptotic behaviour of random tridiagonal Markov chains in biological applications

Discrete-time discrete-state random Markov chains with a tridiagonal generator are shown to have a random attractor consisting of singleton subsets, essentially a random path, in the simplex of probability vectors. The proof uses the Hilbert projection metric and the fact that the linear cocycle generated by the Markov chain is a uniformly contractive mapping of the positive cone into itself. The proof does not involve probabilistic properties of the sample path and is thus equally valid in the nonautonomous deterministic context of Markov chains with, say, periodically varying transitions probabilities, in which case the attractor is a periodic path.Comment: 13 pages, 22 bibliography references, submitted to DCDS-B, added references and minor correction

A Description of an Improved Homodyne Laser Interferometer

First appearing on the commercial market in the mid 1980’s, diode-pumped, continuous-wave (cw) Nd:YAG lasers have more recently been used to obtain visible output, by the incorporation of frequency doubling optics in the laser cavity.The laser diode pumping of a Nd:YAG laser rod is selective and highly efficient, resulting in compact, high power, spatial mode lasers. Frequency-doubling processes are non-linear and lead to doubling TEM00 only of the high energy fundamental temporal mode, resulting in operation of the 532 nm laser in a single spatial and single longitudinal mode. The technology is rapidly advancing, and green lasers with energies of up to 1W could soon be available. The beam properties of the lasers described above are highly desirable in the field of interferometry, where such lasers are now in direct competition with the much larger Argon lasers, which have already been employed in high power interferometric systems. We describe here the performance of a modified Michelson interferometer [1–4], built to incorporate a 90 mW ADLAS 300 diode-pumped Nd:YAG laser. In previous versions of the Michelson interferometer, we have used HeNe lasers with a few milliwatts output, requiring mirror-quality surfaces on our samples. A 90 mW laser power enables us to make displacement measurements on metal surfaces with little or no preparation. The laser could also, of course, be used in other, more elaborate interferometer types, such as the confocal Fabry-Perot, which are better suited to industrial environments

Pasture Yield and Animal Performance from Aeschynomene Americana Cultivars Glenn and Lee

An on farm demonstration site was used to promote and compare the performance of the tropical legumes Glenn American jointvetch and Lee American jointvetch (Aeschynomene americana). Both legumes are widely sown in tropical Australia and are being increasingly sown in South-East Asian pasture projects. Glenn and Lee both grew well and persisted in grass/legume pastures over a 5 year period. Liveweight gain of steers, at a stocking rate of 1.5/ha, slightly favoured the Glenn pasture and gains of 0.49 kg/day for a 595 day period were achieved. Soil seed reserves were much higher under the annual Glenn than for the later flowering perennial Lee. Current recommendations are to sow equal portions of Glenn and Lee in legume/grass pasture mixture

More Aeschynomene Pasture Legumes for the Tropics and Sub-Tropics

Two cultivars of Aeschynomene villosa were released in Queensland in 1995. Cultivars ‘Reid’ (previously CPI 91209) and ‘Kretschmer’ (previously CPI 93621) are both native to Mexico and are the first cultivars of A. villosa to be released as pasture legumes. They will complement the three Aeschynomene cultivars already in use in tropical and sub-tropical northern and eastern Australia, namely cultivars ‘Glenn’ and ‘Lee’ (A. americana) and ‘Bargoo’ (A. falcata). Characteristics of Reid and Kretschmer jointvetch include, early seeding perennials within high seed yields, prostrate to semi-erect growth habit, adaptation to a wide range of soil types in medium rainfall areas, tolerance of temporary waterlogging, palatability of high quality forage, responsive to added phosphorus, and tolerance of light frosts. Commercial seed will be available for sale about October, 1997. Reid and Kretschmer villose jointvetch are widely adapted high quality pasture legumes which will complement current legume cultivars and will broaden the scope for sown pasture development in sub-tropical and tropical northern Australia

Partnerships in sanitation service management and infrastructure provision in Kumasi, Ghana

This paper investigates the potentials of the private sector in the development and management of sanitation infrastructure and services within three Sub metros in the Kumasi Metropolitan Assembly (KMA). A case study approach was used and data on public toilets under Build-Operate-Transfer (BOT) and franchise management were collected. Results showed that users of BOT facilities were generally satisfied with the services they receive but the KMA-owned toilets under franchised management receive low patronage because of the poor management and political interference. Some factors plaguing the partnership include mistrust between the partners, political interference and socio-cultural behaviour of the users

The Met Office Unified Model Global Atmosphere 7.0/7.1 and JULES Global Land 7.0 configurations

We describe Global Atmosphere 7.0 and GlobalLand 7.0 (GA7.0/GL7.0), the latest science configurations of the Met Office Unified Model (UM) and the Joint UK Land Environment Simulator (JULES) land surface model developed for use across weather and climate timescales. GA7.0 and GL7.0 include incremental developments and targeted improvements that, between them, address four critical errors identified in previous configurations: excessive precipitation biases over India, warm and moist biases in the tropical tropopause layer (TTL), a source of energy non-conservation in the advection scheme and excessive surface radiation biases over the Southern Ocean. They also include two new parametrisations, namely the UK Chemistry and Aerosol(UKCA) GLOMAP-mode (Global Model of Aerosol Processes) aerosol scheme and the JULES multi-layer snow scheme, which improve the fidelity of the simulation and were required for inclusion in the Global Atmosphere/Global Land configurations ahead of the 6th Coupled Model Inter-comparison Project (CMIP6).In addition, we describe the GA7.1 branch configuration, which reduces an overly negative anthropogenic aerosol effective radiative forcing (ERF) in GA7.0 whilst maintaining the quality of simulations of the present-day climate. GA7.1/GL7.0 will form the physical atmosphere/land component in the HadGEM3–GC3.1 and UKESM1 climate model submissions to the CMIP6

Análisis de programas de mejora continua. Un estudio longitudinal en una empresa industrial

Las empresas han utilizado diversas herramientas que permiten que los operarios contribuyan al proceso de mejora continua. Entre las herramientas más usadas podemos destacar los sistemas de sugerencias tanto individuales como en grupo. En esta comunicación haremos un repaso de las principales características de ambos sistemas y los modos habituales de implantación. Nuestra ponencia pretende intentar responder a estas preguntas de investigación. ¿Qué resultados se derivan de la implantación de sistemas de sugerencias individuales o en grupo? ¿Cuál de los dos sistemas es más beneficioso para la empresa? ¿Qué problemas surgen durante el funcionamiento de estos programas? Para ello, analizaremos los datos de un caso de empresa industrial donde hemos recogido los datos históricos de 5 años de aplicación de un programa de mejora continua. Ambos programas han demostrado ser provechosos para la empresa, aunque las posibilidades de los sistemas de grupo parecen ser significativamente mayores

Inhibition of Hypoxia-Inducible Factor-1α (HIF-1α) Protein Synthesis by DNA damage inducing agents

10.1371/journal.pone.0010522PLoS ONE55

Challenges and recent progress in drug discovery for tropical diseases

Infectious tropical diseases have a huge effect in terms of mortality and morbidity, and impose a heavy economic burden on affected countries. These diseases predominantly affect the world’s poorest people. Currently available drugs are inadequate for the majority of these diseases, and there is an urgent need for new treatments. This Review discusses some of the challenges involved in developing new drugs to treat these diseases and highlights recent progress. While there have been notable successes, there is still a long way to go.</p