Simulación de un problema en Cabrí Geometre en el estudio de las funciones lineal y cuadrática: subgrupo de tecnologías, edumat-uis escuela de matemáticas

En este trabajo se reportan los resultados obtenidos con 39 estudiantes del Instituto Santa María Goretti de Bucaramanga, institución que viene participando en el proyecto “Incorporación de Nuevas Tecnologías en el Currículo de Matemáticas de la Educación Básica y Media de Colombia” desde el año 2002, quienes dieron solución a un problema de una carrera de fórmula 1, donde Juan Pablo Montoya sale de pits con una aceleración de 4 m/seg2 y en ese mismo instante pasa Michael Schumacher con una velocidad constante de 252 Km/hora. Este problema fue simulado en Cabrí Geometry en una pista circular, para el estudio de las funciones lineal y cuadrática. El trabajo con la simulación permitió que las estudiantes identificaran con mayor precisión las variables y no variables y que a través de la toma de datos y análisis de ellos llegaran a obtener diferentes representaciones (numérica, grafica, tabular, algebraica) de las funciones lineal y cuadrática. Además de relacionar los conceptos aprendidos en el estudio del movimiento uniforme y uniformemente acelerado.

Reproducir curvas en la pantalla de una calculadora

¿Cómo se logran esas bonitas y suaves curvas en la pantalla de un ordenador? Parece que fluyen suavemente y no tienen ese efecto desigual que sale si dibujas un montón de puntos y los unes con segmentos rectilíneos. La razón es que el software muestrea los dibujos y usa métodos de interpolación suave. A menudo, el método de interpolación es el llamado de los splines cúbicos, que aprovecha inteligentemente ciertos conceptos matemáticos corrientes, como mostraremos a continuación.

Beneficial ownership and detriment

Considers the factors which contribute to a court finding that a cohabitee has a beneficial interest in property, in particular the detriment which is required to establish a constructive trust, with reference to the Chancery Division decision in Levi v Levi and previous case law. Outlines the provisions on express or inferred common intention. Considers whether a loan of money from the non-owning to the owning cohabitant, made at a lower level than commercial loans, towards the purchase the property was sufficient detriment to entitle her to proceeds of sale from the property.

Oral agreements: estoppel, constructive trusts and restitution

Analyses the House of Lords judgment in Cobbe v Yeoman's Row Management Ltd in relation to claims by the prospective purchaser under an oral agreement for sale of a block of flats based on proprietary estoppel, a constructive trust and common law restitution brought against the owner of the property who sought to resile from the agreement after the purchaser had, at considerable expense, obtained planning permission to redevelop the property in reliance on assurances given by the owner that if permission was granted the sale would be honoured.

Returning to deposits...

Examines the Court of Appeal ruling in Midill (97PL) Ltd v Park Lane Estates Ltd on whether the court should exercise its discretion to return a deposit paid under a contract for the sale of a property where, despite the claimant having defaulted on its purchase, the owner obtained a higher price than would have been paid by the claimant when it subsequently sold the property to a third party. Considers the need for special or exceptional circumstances to be present to override the rule that deposits were to be forfeited upon the purchaser's default.

Deal or no deal

Discusses the pre-action protocol for mortgage possession claims which came into effect on November 19, 2008, highlighting the situations in respect of which it is suggested the lender "considers" not starting proceedings and the lenders entitlement to be informed of progress on the sale of the property. Reviews the guidance on mortgages and arrears issued by the Council for Mortgage Lenders, aimed at assisting lenders in complying with the Financial Services Agency's Mortgage Conduct of Business Rules Pt 13. [From Legal Journals Index]

Divorce deals and bankruptcy

Discusses the rights and responsibilities of trustees and beneficiaries of co-owned land under the Trusts of Land and Appointment of Trustees Act 1996, in particular s.14 which allows the court to make an order declaring the extent and nature of a person's interest in the property. Refers to the Court of Appeal decision in Avis v Turner on whether the existence of an earlier court order postponing the sale of matrimonial property following the owners' divorce meant that an application could not be brought by a trustee in bankruptcy under s.14. Considers the "exceptional circumstances" which could allow the court to postpone the sale. [From Legal Journals Index]

Quantifying the beneficial interests of cohabitees

Discusses entitlements to a share of the sale proceeds of the family home where partners are cohabiting but not married and the property is registered in the name of one person only. Explains the obligation to establish that a cohabitee has an equitable interest in the property under the principles of constructive or resulting trusts. Considers how the court is able to quantify the respective shares, both before and after Oxley v Hiscock. [From the Legal Journals Index]

What's exceptional?

Outlines the factors which the court needs to consider when deciding whether to grant an application for the sale of a property where the owner becomes bankrupt. Considers the different priorities to be given to the claims of trustees in bankruptcy and to secure lenders, with reference to the Trusts of Land and Appointment of Trustees Act 1996 ss.14 and 15, the Insolvency Act 1986 s.355A, and the exceptional circumstances in which claims will not be granted. Explores case law, in particular the Court of Appeal ruling in Avis v Turner, and the implications of the Human Rights Act 1998. [From Legal Journals Index]

Livelihood Strategies of Dock Workers in Durban, c. 1900-1959

This dissertation examines the livelihood strategies of African dock workers in Durban, South Africa, between the Anglo-Boer War and the 1959 strikes. These labourers did not conform to common conceptions of radical dock workers or conservative African migrant workers. While Marxist scholars have been correct to stress the working class consciousness of Durban’s dock workers, this consciousness was also more ambiguous. These workers and their leaders displayed a peculiar mix of concern for workers’ issues and defences of the rights and interests of African traders. Many of Durban’s dock workers were not only wage labourers. In fact, only a minority had wages as their only source of income. The Reserve economy played a role in sustaining the consumption levels of their households and, more importantly, more than half of the former dock workers interviewed for this research engaged in some form of commercial enterprise, often based on the pilferage and sale of cargoes. Some also teamed up with township women who sold pilfered goods while the men were at work. This combination of commercial strategies and wage labour has often been overlooked in the literature. By looking at these livelihood strategies, this dissertation considers how rural and urban economies interacted in households’ strategies and reinterprets the reproduction of labour and the household in order to move beyond dichotomies of proletarian versus rural consciousness. The dock workers’ households were neither proletarian households that were forced to reside in the countryside because of apartheid, nor traditional rural homesteads with a missing migrant member. The households were reproduced in three geographically separate spheres of production and consumption, none of which could reproduce the household on its own. These spheres were dependent on each other, but also separate, as physical distance gave the different household members some autonomy. Such multi-nodal households not only bridged the rural and the urban, but equally straddled the formal/informal divide. For many, their employment on the docks made their commercial enterprises possible, which allowed them to retire early from urban wage labour. Consequently, the interests of wage labourers could not be divorced from those of African small-scale entrepreneurs.

A Planetary Nebula around Nova V458 Vulpeculae Undergoing Flash Ionization

Nova V458 Vul erupted on 2007 August 8 and reached a visual magnitude of 8.1 a few days later. Ha images obtained 6 weeks before the outburst as part of the IPHAS Galactic plane survey reveal an 18th magnitude progenitor surrounded by an extended nebula. Subsequent images and spectroscopy of the nebula reveal an inner nebular knot increasing rapidly in brightness due to flash ionization by the nova event. We derive a distance of 13 kpc based on light travel time considerations, which is supported by two other distance estimation methods. The nebula has an ionized mass of 0.2 Msolar and a low expansion velocity: this rules it out as ejecta from a previous nova eruption, and is consistent with it being a ~14,000 year old planetary nebula, probably the product of a prior common envelope (CE) phase of evolution of the binary system. The large derived distance means that the mass of the erupting WD component of the binary is high. We identify two possible evolutionary scenarios, in at least one of which the system is massive enough to produce a Type Ia supernova upon merging.

Geographical variation in total and inorganic arsenic content of polished (white) rice

An extensive data set of total arsenic analysis for 901 polished (white) grain samples, originating from 10 countries from 4 continents, was compiled. The samples represented the baseline (i.e., notspecifically collected from arsenic contaminated areas), and all were for market sale in major conurbations. Median total arsenic contents of rice varied 7-fold, with Egypt (0.04 mg/kg) and India (0.07 mg/kg) having the lowest arsenic content while the U.S. (0.25 mg/kg) and France (0.28 mg/kg) had the highest content. Global distribution of total arsenic in rice was modeled by weighting each country's arsenic distribution by that country's contribution to global production. A subset of 63 samples from Bangladesh, China, India, Italy, and the U.S. was analyzed for arsenic species. The relationship between inorganic arsenic contentversus total arsenic contentsignificantly differed among countries, with Bangladesh and India having the steepest slope in linear regression, and the U.S. having the shallowest slope. Using country-specific rice consumption data, daily intake of inorganic arsenic was estimated and the associated internal cancer risk was calculated using the U.S. Environmental Protection Agency (EPA) cancer slope. Median excess internal cancer risks posed by inorganic arsenic ranged 30-fold for the 5 countries examined, being 0.7 per 10,000 for Italians to 22 per 10,000 for Bangladeshis, when a 60 kg person was considered.

Inorganic arsenic levels in baby rice are of concern

Inorganic arsenic is a chronic exposure carcinogen. Analysis of UK baby rice revealed a median inorganic arsenic content (n = 17) of 0.11 mg/kg. By plotting inorganic arsenic against total arsenic, it was found that inorganic concentrations increased linearly up to 0.25 mg/kg total arsenic, then plateaued at 0.16 mg/kg at higher total arsenic concentrations. Inorganic arsenic intake by babies (4-12 months) was considered with respect to current dietary ingestion regulations. It was found that 35% of the baby rice samples analysed would be illegal for sale in China which has regulatory limit of 0.15 mg/kg inorganic arsenic. EU and US food regulations on arsenic are non-existent. When baby inorganic arsenic intake from rice was considered, median consumption (expressed as mu g/kg/d) was higher than drinking water maximum exposures predicted for adults in these regions when water intake was expressed on a bodyweight basis. (c) 2008 Elsevier Ltd. All rights reserved.

Can grass biomethane be an economically viable biofuel for the farmer and the consumer?

Farm incomes in Ireland are in decline and many farmers would operate at a loss in the absence of subsidies. Agriculture is responsible for 27% of Ireland's greenhouse gas emissions and is the largest contributing sector. Penetration of renewable energy in the heat and transport sectors is falling short of targets, and there is no clear plan for achieving them. The anaerobic digestion of grass to produce biogas or biomethane is put forward as a multifaceted solution, which could help meet energy and emissions targets, reduce dependence on imported energy, and provide additional farm income. This paper addresses the economic viability of such a system. Grass biogas/biomethane fares poorly under the current combined heat and power tariff structure, which is geared toward feedstock that attracts a gate fee. Tariff structures similar to those used in other countries are necessary for the industry to develop. Equally, regulation should be implemented to allow injection of biomethane into the gas grid in Ireland. Blends of natural gas and biomethane can be sold, offering a cost-competitive green fuel. Sale as a renewable transport fuel could allow profitability for the farmer and savings for the consumer, but suffers due to the lack of a market. Under current conditions, the most economically viable outlet for grass biomethane is sale as a renewable heating fuel. The key to competitiveness is the existing natural gas infrastructure that enables distribution of grass biomethane, and the renewable energy targets that allow renewable fuels to compete against each other. © 2010 Society of Chemical Industry and John Wiley & Sons, Ltd.

A strategy to identify critical appraisal criteria for primary mixed-method studies

The practice of mixed-methods research has increased considerably over the last 10 years. While these studies have been criticized for violating quantitative and qualitative paradigmatic assumptions, the methodological quality of mixed-method studies has not been addressed. The purpose of this paper is to identify criteria to critically appraise the quality of mixed-method studies in the health literature. Criteria for critically appraising quantitative and qualitative studies were generated from a review of the literature. These criteria were organized according to a cross-paradigm framework. We recommend that these criteria be applied to a sample of mixed-method studies which are judged to be exemplary. With the consultation of critical appraisal experts and experienced qualitative, quantitative, and mixed-method researchers, further efforts are required to revise and prioritize the criteria according to importance.