The Construction of Arbitrary Stable Dynamics in Non-Linear Neural Networks

In this paper, two methods for constructing systems of ordinary differential equations realizing any fixed finite set of equilibria in any fixed finite dimension are introduced; no spurious equilibria are possible for either method. By using the first method, one can construct a system with the fewest number of equilibria, given a fixed set of attractors. Using a strict Lyapunov function for each of these differential equations, a large class of systems with the same set of equilibria is constructed. A method of fitting these nonlinear systems to trajectories is proposed. In addition, a general method which will produce an arbitrary number of periodic orbits of shapes of arbitrary complexity is also discussed. A more general second method is given to construct a differential equation which converges to a fixed given finite set of equilibria. This technique is much more general in that it allows this set of equilibria to have any of a large class of indices which are consistent with the Morse Inequalities. It is clear that this class is not universal, because there is a large class of additional vector fields with convergent dynamics which cannot be constructed by the above method. The easiest way to see this is to enumerate the set of Morse indices which can be obtained by the above method and compare this class with the class of Morse indices of arbitrary differential equations with convergent dynamics. The former set of indices are a proper subclass of the latter, therefore, the above construction cannot be universal. In general, it is a difficult open problem to construct a specific example of a differential equation with a given fixed set of equilibria, permissible Morse indices, and permissible connections between stable and unstable manifolds. A strict Lyapunov function is given for this second case as well. This strict Lyapunov function as above enables construction of a large class of examples consistent with these more complicated dynamics and indices. The determination of all the basins of attraction in the general case for these systems is also difficult and open.

Prehistoric burnt mound archaeology in Ireland

It is apparent from the widespread distribution of burnt mounds that Ireland was the most prolific user of pyrolithic technology in Bronze Age Europe. Even though burnt mounds are the most common prehistoric site type in Ireland, they have not received the same level of research as other prehistoric sites. This is primarily due to the paucity of artefact finds and the unspectacular nature of the archaeological remains, compounded by the absence of an appropriate research framework. Due to the widespread use of the technology and the various applications of hot water, narratives related to these sites have revolved around discussions of age and function. This has resulted in a generalised classification, where the term ‘fulacht fia’ covers several site types that have similar features but differing functions and age. The study presents a re-evaluation of fulachtaí fia in light of some 1000 sites excavated in Ireland. This is the most comprehensive study undertaken on the use of pyrolithic technology in prehistoric Ireland, dealing with different aspects of site function, chronology, social role and cultural context. A number of key areas have been identified in relation to our understanding of these sites. Previous investigations of burnt mounds have provided little information on the temporality of individual sites. It has been established that appropriate sampling strategies can provide important information about the formation of individual sites, their relationships to each other and to other monuments in the same cultural landscape. The evidence suggests that considerable caution should be exercised with regard to certain single radiometric dates from burnt stone deposits, based on the degree of certainty of the dated sample and its association with pyrolithic activity. Previously regarded as Bronze Age in date, there are now numerous examples of pyrolithic-type processes in earlier contexts, with the origins of the water-boiling phenomenon now considered to be Early Neolithic. A review of recent excavation evidence provides new insights into the use of pyrolithic technology for cooking. This is based on the discovery of faunal remains at several sites, combined with insights gained through experimental studies. The model proposed here is of open-air communal feasting and food sharing hosted by small family groups, as a medium for social bonding and the construction of community. It is also argued that if cooking was the primary activity taken place at these sites, this should not be viewed as a mundane functional activity, but rather one that actively contributed to the constitution of social relations. The formality of the technology is also supported by the presence of possible specialised structures, some of which were used for cooking/feasting while others were for ritualised sweat-bathing. The duration and frequency of activities associated with burnt mounds and the opportunities they provided for social interaction suggest that these sites contributed some familiar frames of reference to contemporary discourse.

Modulating the selectivity for CO and butane oxidation over heterogeneous catalysis through amorphous catalyst coatings

The preparation of porous films directly deposited onto the surface of catalyst particles is attracting increasing attention. We report here for the first time a method that can be carried out at ambient pressure for the preparation of porous films deposited over 3 mm diameter catalyst particles of silica-supported Pt-Fe. Characterization of the sample prepared at ambient pressure (i.e., open air, OA) and its main structural differences as compared with a Na-A (LTA) coated catalyst made using an autoclave-based method are presented. The OA-coated material predominantly exhibited an amorphous film over the catalyst surface with between 4 and 13% of crystallinity as compared with fully crystallized LTA zeolite crystals. This coated sample was highly selective for CO oxidation in the presence of butane with no butane oxidation observed up to 350 degrees C. This indicates, for the first time, that the presence of a crystalline membrane is not necessary for the difference in light off temperature between CO and butane to be achieved and that amorphous films may also produce this effect. An examination of the space velocity dependence and adsorption of Na+ on the catalysts indicates that the variation in CO and butane oxidation activity is not caused by site blocking predominantly, although the Pt activity was lowered by contact with this alkali.

The structure of [Co(H-tptz)Cl-3] center dot H2O (tptz=2,4,6-tri(2-pyridyl)-1,3,5-triazine) prepared by crystallization from the ionic liquid, N-butyl-N-methyl-pyrrolidinium bis(trifluoromethanesulfonyl)imide

The structure of tris-chloro[2,6-bis(2'-pyridyl)-4-(2'-pyridinium)-1,3,5-triazine]cobalt(II) monohydrate, [Co(C18H13N6)Cl-3]center dot H2O (C2/c (No. 15), a = 7.783(11), b = 22.42(3), c = 11.001(15) angstrom, beta = 90.05(2)degrees), crystallized from the open air reaction of CoCl2 and 2,4,6-tri(2-pyridyl)-1,3,5-triazine in the ionic liquid, N-butyl-N-methyl-pyrrolidinium bis(trifluoromethanesulfonyl)imide is reported. The structure consists of six coordinate cobalt in an octahedral geometry bonded to the tridentate tptz ligand and three chlorines. The non-coordinating pyridyl group in the tptz ligand is protonated (with the protonated nitrogen crystallographically disordered over two possible sites), providing overall charge neutrality for the complex.

P3: uma outra concepção de escola: estudo de caso

Este trabalho de investigação pretende encontrar explicações para o insucesso das escolas de área aberta em Portugal. Mais do que contar a história das open plan schools (ou escolas P3, como ainda são conhecidas no nosso país), a pretensão foi ouvir, principalmente na primeira pessoa, as dificuldades, as “estórias” e as razões que na opinião dos professores conduziram à radical transformação do espaço físico e pedagógico originalmente proposto para estas organizações escolares. Na impossibilidade de estudar todas as “P3” construídas, optou-se metodologicamente por um estudo de caso de uma escola paradigmática em termos de “evolução” organizacional e pedagógica (em 1982, num programa de televisão, esta foi apresentada como uma escola de área aberta “modelo”). A investigação de cariz etnográfico permitiu de uma forma mais aprofundada conhecer as sucessivas transformações ocorridas. No trabalho de campo, foram realizadas entrevistas, consultados documentos diversos, captaram-se centenas de imagens e foi feita a análise de um inquérito realizado nos anos 1980 aos professores de escolas de área aberta – tipo P3. Os resultados mostram que os professores (principais actores envolvidos neste processo) não tiveram uma preparação adequada para uma pedagogia que se pretendia inovadora. Na opinião de todos os docentes entrevistados, e de acordo com a informação documental recolhida, o Ministério da Educação não deu o acompanhamento e o apoio necessário aos docentes das P3. Não sabemos se as escolas de área aberta “falharam” ou não, este estudo não demonstra isso, mas sim que as condições para que estas escolas funcionassem não existiram, tal tornou-se evidente na falta de estabilidade das equipas docentes (rotatividade), no rácio excessivo de alunos por professor, na insuficiente formação e divulgação sobre escolas P3 e até na inexistência de experiências piloto. Apesar de tudo, alguns professores consideram que as vantagens de adaptabilidade e de flexibilidade em termos de prática pedagógica, trazidas pelas escolas de área aberta, compensariam os riscos e as dificuldades que se levantaram.

Faunal exploitation at the middle paleolithic site Kabazi II(Western Crimea)

Kabazi II est un site de plein air, situé sur la deuxième rangée des Monts de Crimée. Après sa découverte en 1986, les investigations archéologiques effectuées entre 1987 et le milieu des années 90 ont établi que Kabazi II avait auparavant servi de lieu de chasse et d’abattage pour les groupes néanderthaliens de la région. Les études archéozoologiques antérieures (Patou-Mathis 2003, 1999, 2005, 2006a, 2006b) ont déterminé que les stratégies de subsistance des Néanderthaliens du Kabazi II étaient très spécialisées et principalement axées sur la chasse des petits groupes de Equus hydruntinus mais aussi, à l’occasion, sur la chasse d’autres espèces. Ces comportements ont persisté malgré les changements climatiques et technologiques à travers l’histoire d’occupation du site. Cette étude présente l’analyse des assemblages fauniques encore inédits des niveaux II/1,II/2-1, II/2, II/3, II/4, II/5, II/7, II/8, II/9, II/13, II/13A de Kabazi II. Nos résultats sont en accord avec ceux obtenus parles d’études antérieures ; cependant, des différences par rapport à la fonction du site ont été constatées et un lien possible avec Kabazi V, un abri sur roche tout près de Kabazi II, a été établi. On croit que la persistance des activités de subsistance des Néanderthaliens de Kabazi II pendant presque 100 000 ans de présence est due à la polyvalence des ânes asiatiques tels que Equus hydruntinus, au contexte géographique et géologique de la région ainsi qu’aux caractéristiques du site elles-mêmes.

Artiste ou espion ? Dessiner le paysage dans l’Italie du XVIe siècle

Stories of artists who were arrested and accused of spying while drawing landscape remain relatively unknown in the history of open-air drawing in the Renaissance period, when landscape raised new aesthetic issues as well as strategic and military tensions. This article focuses on Francisco de Holanda, a Portuguese artist who travelled through Italy between 1538 and 1542. Having embarked on a visual-spying mission of the peninsula's fortresses, he wrote essays on drawing and painting in which landscape representation took on a strategic dimension ans was celebrated as such. At the same time, treatises on the 'art of travelling' provided a great deal of advice on how to draw and map foreign territories 'without raising suspicion', while treatises on fortification often addressed military secret. Examining the figure of the draughtsman together with his graphic production at the service of art or war leads to a wider reflection on the development of a certain vision of landscape in the modern West.

Studies on arbuscular mycorrhiza (AM) in the Alentejo (Portugal) using pea mutants resistant to AM fungi as a control tool for field conditions

The utilization and management of arbuscular mycorrhiza (AM) symbiosis may improve production and sustainability of the cropping system. For this purpose, native AM fungi (AMF) were sought and tested for their efficiency to increase plant growth by enhanced P uptake and by alleviation of drought stress. Pot experiments with safflower (Carthamus tinctorius) and pea (Pisum sativum) in five soils (mostly sandy loamy Luvisols) and field experiments with peas were carried out during three years at four different sites. Host plants were grown in heated soils inoculated with AMF or the respective heat sterilized inoculum. In the case of peas, mutants resistant to AMF colonization were used as non-mycorrhizal controls. The mycorrhizal impact on yields and its components, transpiration, and P and N uptake was studied in several experiments, partly under varying P and N levels and water supply. Screening of native AMF by most probable number bioassays was not very meaningful. Soil monoliths were placed in the open to simulate field conditions. Inoculation with a native AMF mix improved grain yield, shoot and leaf growth variables as compared to control. Exposed to drought, higher soil water depletion of mycorrhizal plants resulted in a haying-off effect. The growth response to this inoculum could not be significantly reproduced in a subsequent open air pot experiment at two levels of irrigation and P fertilization, however, safflower grew better at higher P and water supply by multiples. The water use efficiency concerning biomass was improved by the AMF inoculum in the two experiments. Transpiration rates were not significantly affected by AM but as a tendency were higher in non-mycorrhizal safflower. A fundamental methodological problem in mycorrhiza field research is providing an appropriate (negative) control for the experimental factor arbuscular mycorrhiza. Soil sterilization or fungicide treatment have undesirable side effects in field and greenhouse settings. Furthermore, artificial rooting, temperature and light conditions in pot experiments may interfere with the interpretation of mycorrhiza effects. Therefore, the myc- pea mutant P2 was tested as a non-mycorrhizal control in a bioassay to evaluate AMF under field conditions in comparison to the symbiotic isogenetic wild type of var. FRISSON as a new integrative approach. However, mutant P2 is also of nod- phenotype and therefore unable to fix N2. A 3-factorial experiment was carried out in a climate chamber at high NPK fertilization to examine the two isolines under non-symbiotic and symbiotic conditions. P2 achieved the same (or higher) biomass as wild type both under good and poor water supply. However, inoculation with the AMF Glomus manihot did not improve plant growth. Differences of grain and straw yields in field trials were large (up to 80 per cent) between those isogenetic pea lines mainly due to higher P uptake under P and water limited conditions. The lacking N2 fixation in mutants was compensated for by high mineral N supply as indicated by the high N status of the pea mutant plants. This finding was corroborated by the results of a major field experiment at three sites with two levels of N fertilization. The higher N rate did not affect grain or straw yields of the non-fixing mutants. Very efficient AMF were detected in a Ferric Luvisol on pasture land as revealed by yield levels of the evaluation crop and by functional vital staining of highly colonized roots. Generally, levels of grain yield were low, at between 40 and 980 kg ha-1. An additional pot trial was carried out to elucidate the strong mycorrhizal effect in the Ferric Luvisol. A triplication of the plant equivalent field P fertilization was necessary to compensate for the mycorrhizal benefit which was with five times higher grain yield very similar to that found in the field experiment. However, the yield differences between the two isolines were not always plausible as the evaluation variable because they were also found in (small) field test trials with apparently sufficient P and N supply and in a soil of almost no AMF potential. This similarly occurred for pea lines of var. SPARKLE and its non-fixing mycorrhizal (E135) and non-symbiotic (R25) isomutants, which were tested in order to exclude experimentally undesirable benefits by N2 fixation. In contrast to var. FRISSON, SPARKLE was not a suitable variety for Mediterranean field conditions. This raises suspicion putative genetic defects other than symbiotic ones may be effective under field conditions, which would conflict with the concept of an appropriate control. It was concluded that AMF resistant plants may help to overcome fundamental problems of present research on arbuscular mycorrhiza, but may create new ones.

Estudio de prospectiva : Adornos FAMEGO al año 2015

El Almacén de Adornos FAMEGO, ubicado dentro del sector de San Victorino, el cual a través de los años se ha caracterizado por ser muy concurrente por las familias Colombianas de los estratos 1, 2 y 3, gracias a que su ubicación en el centro de la capital hace sea que el destino más próximo para aquellos consumidores finales de Adornos, que su principal objetivo es buscar el mejor precio en sus insumos para confección.Mediante el estudio prospectivo del Almacén FAMEGO, se analizaron características como: tendencias (Globalización, nuevos concepto del mercado, tasa de cambio), factores internos y externos (Precios, seguridad, población marginal), los cuales llevaron a generar hipótesis que mostraran los distintos escenarios del Almacén FAMEGO con un horizonte al año en el 2015. En el 2015, el sector de San Victorino, se vislumbra como un centro de negocios al aire libre, en el cual habrá un ambiente más confortable para todos los clientes, con mayor seguridad por parte de las autoridades y control en cuanto al desarrollo sostenible del sector, brindando adecuados niveles de limpieza en las calles y una menor contaminación visual. El almacén FAMEGO, caracterizado por brindar a sus clientes el mejor servicio, ha creado alianzas con sus principales competidores para crear un ambiente más sano en el mercado, estableciendo una equidad en los precios de los productos.

Natural ventilation effects on temperatures within Stevenson screens

Thermometer screen properties are poorly characterised at low wind speeds. Temperatures from a large thermometer screen have been compared with those from an automatically shaded open-air fine-wire resistance thermometer. For the majority of 5-minute average measurements obtained between July 2008 and 2009, the screen and fine-wire temperatures agreed closely, with a median difference <0.05◦C. At low wind speeds however, larger temperature differences occurred. When calm (wind speed at 2 metres, u2, ≤ 0.1 m s−1), the difference between screen and open-air temperatures varied from −0.25◦C to +0.87◦C. At night with u2 < 0.5 m s−1, this difference was −0.14◦C to 0.39◦C, and, rarely, up to −0.68◦C to 1.38◦C. At the minimum in the daily temperature cycle, the semi-urban site at Reading had u2 < 1 m s−1 for 52% of the observations 1997–2008, u2 < 0.5 m s−1 for 34% and calm conditions for 20%. Consequently uncertainties in the minimum temperature measurements may arise from poor ventilation, which can propagate through calculations to daily average temperatures. In comparison with the daily minimum temperature, the 0900 UTC synoptic temperature measurement has a much lower abundance (5%) of calm conditions.

Simple general method of generating non-oxo, non-amavadine model octacoordinated vanadium(IV) complexes of some tetradentate ONNO chelating ligands from various oxovanadium(IV/V) compounds and structural characterization of one of them

A simple general route of obtaining very stable octacoordinated non-oxovanadium( IV) complexes of the general formula VL2 (where H2L is a tetradentate ONNO donor) is presented. Six such complexes (1-6) are adequately characterized by elemental analysis, mass spectrometry, and various spectroscopic techniques. One of these compounds (1) has been structurally characterized. The molecule has crystallographic 4 symmetry and has a dodecahedral structure existing in a tetragonal space group P4n2. The non-oxo character and VL2 stoichiometry for all of the complexes are established from analytical and mass spectrometric data. In addition, the non-oxo character is clearly indicated by the complete absence of the strong nu(v=o) band in the 925-1025 cm(-1) region, which is a signature of all oxovanadium species. The complexes are quite stable in open air in the solid state and in solution, a phenomenon rarely observed in non-oxovanadium(IV) or bare vanadium(IV) complexes.

The neolithisation of Liguria (NW Italy): an environmental archaeological and palaeoenvironmental perspective

The archaeological evidence compiled for Liguria has enabled the formulation of a comprehensive model of Neolithic social, technological and economic development (∼7800–5700 cal yrs BP). The model indicates that during the Early and Middle Neolithic (∼7800–6300 cal yrs BP; ‘Impressed Ware’ and ‘Square Mouthed’ pottery cultures) human activity mainly focussed on low (coastal) and mid-altitude areas. By the Late Neolithic (∼6300–5700 cal yrs BP; ‘Chassey’ culture) farming practices were taking place over a wider range of altitudes and involved transhumant pastoralism. Complementary environmental archaeological and palaeoecological records from caves, open-air sites, lakes and mires indicate that human activities had a more significant impact on the environment than previously thought. This included clearance, especially Abies, Ulmus, Fraxinus and Tilia, and woodland utilisation and management (e.g. leaf foddering), as well as cereal cultivation and animal husbandry. The influence of Middle Holocene climatic changes, especially from ∼7800 cal yrs BP, on the direction of vegetation changes and socio-economic developments during the Neolithic remain uncertain.

Simulations of a photovoltaic-thermal ground source heat pump system

A ground source heat pump assisted by an array of photovoltaic (PV)-thermal modules was studied in this work. Extracting heat from an array of PV modules should improve the performance of both the PV cells and the heat pump. A series of computer simulations compare the performance of a ground source heat pump with a short ground circuit, used to provide space heating and domestic hot water at a house in southern England. The results indicate that extracting heat from an array of PV-thermal modules would improve the performance of a ground source heat pump with an undersized ground loop. Nevertheless, open air thermal collectors could be more effective, especially during winter. In one model more electricity was saved in ohmic heating than was generated by cooling the PV cells. Cooling the PV modules was found to increase their electrical output up to 4%, but much of the extra electricity was consumed by the cooling pumps.

Micro-abrasion of flint artefacts by mobile sediments: a taphonomic approach

Fluvial redeposition of stone artifacts is a major complicating factor in the interpretation of Lower Palaeolithic open-air archaeological sites. However, the microscopic examination of lithic surfaces may provide valuable background information on the transport history of artifacts, particularly in low energy settings. Replica flint artifacts were therefore abraded in an annular flume and examined with a scanning electron microscope. Results showed that abrasion time, sediment size, and artifact transport mode were very sensitive predictors of microscopic surface abrasion, ridge width, and edge damage (p < 0.000). These results suggest that patterns of micro-abrasion of stone artifacts may enhance understanding of archaeological assemblage formation in fluvial contexts