GeoGebra e o método de Briot & Bouquet para a resolução gráfica de equações cúbicas

In the mid-nineteenth century, french mathematicians Briot and Bouquet have proposed an intriguing graphical method for solving cubic equations "depressed" - the third degree equations that do not have the quadratic term. The proposal is simple geometric construction, though based on an ingenious algebra. We propose here the verification and testing graphical method through an instructional sequence using the software GeoGebra also present the ingenious algebraic development that resulted in this graphic method for determination of real roots of a cubic equation of the type x³ + px + q = 0 where p and q are real numbers. The method states that these solutions are summarized in the abscissas of the points of intersection of the circumference containing the origin and the center C (-q/2, 1-p/2) with the parable y = x².

Investigação geoambiental de áreas contaminadas com elaboração do modelo conceitual em campo utilizando ferramentas de alta resolução (HRSC)

The Brazilian geo-environmental site characterizations usually do not provide a suitable Conceptual Site Model (CSM). Site assessments are mostly inappropriate and there is a lack of knowledge about the subsurface environment, generated by inconsistent data that will guide risk analyses and remediation projects full of uncertainties, causing delay on closing cases, inefficient remediation and higher global projects costs. The step of data collection must have high priority to develop a suitable CSM,, and it demands more effective high resolution site characterization (HRSC) tools than the traditional ones and, preferably, the decision-making have to be done in the field. This paper presents and discusses two geo-environmental site characterization results, in which the decision-making was done in the field based on high resolution site characterization (HRSC) used together with the traditional ones. These site investigations provided a significant time saving, allowed the detection of subsoil heterogeneities, a proper understanding of the subsurface environmental, and have generated a solid CSM in real-time. These CSM can subsidize remediation projects based on a more reliable data than those that would be obtained in traditional site investigations, concerned just in following the rules established by the environmental agencies.

A resolução de problemas no contexto do estágio curricular supervisionado: dificuldades e limites de licenciandos em matemática

The aim was to investigate the difficulties and limits of four future mathematics teachers to conduct classes in regencies approach of problem solving. Based on participation in a course this approach, undergraduates elaborated three didactic sequences, which were taught by the activity of conducting classroom discipline Supervised Curricular Training. After this work, participated in an individual interview to report what had developed in classroom. The results showed difficulties in the following aspects: in the elaboration of didactic sequences; in providing an environment for discussion of resolution strategies students. Furthermore, the data analysis showed limits related: the lack of space at the school teacher to allow implementation of lessons developed; lack of basic mathematical knowledge of the students.

Ultrassonografia modo B de alta resolução modo Doppler e uso de contraste de microbolhas na avaliação testicular de gatos domésticos

Pós-graduação em Medicina Veterinária - FCAV

Resolução de problemas com aplicações em funções

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

O sistema da ONU e as crianças-soldado: convergências e divergências nas abordagens sobre crianças e conflitos armados

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Conflitos e possibilidades entre atividade minerária e geoconservação na área do Geoparque Costões e Lagunas - RJ

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Características da função quadrática e a metodologia de resolução de problemas

Pós-graduação em Matemática em Rede Nacional - IBILCE

Modelagem matemática: uma abordagem do método gráfico e do método simplex na resolução de problemas de otimização

Pós-graduação em Matemática em Rede Nacional - IBILCE

Tratamento cirúrgico da úlcera loxoscélica: solução prática para um problema de difícil resolução

Contexto: O manuscrito descreve a reparação cirúrgica de uma úlcera crônica resultante da picada de uma aranhamarrom, um problema de difícil resolução, o qual habitualmente demora meses até a cicatrização. Descrição do caso: A vítima foi picada na coxa direita e desenvolveu fases de envenenamento típicas da picada de Loxosceles, incluindo a placa mármore, a escara e a úlcera profunda e de bordos emoldurados, características do acidente. Devido ao processo cicatricial lento, cuidados intensivos com curativos, dificuldade na deambulação, além do fator estético, optou-se por cirurgia excisional da lesão e sutura direta das bordas. O tratamento cirúrgico proporcionou cicatrização total da lesão dentro de 15 dias. Conclusões: A úlcera loxoscélica apresenta difícil cicatrização, evoluindo para a cronicidade. A cirurgia com excisão completa e síntese primária constitui técnica adequada para a cura da doença.

Utilização de imagem de satélite Landsat no mapeamento da ocupação da terra e seus conflitos de uso em APPs na bacia hidrográfica do ribeirão Paraíso - São Manuel (SP)

The objectives of this study were to evaluate land use and occupation of Permanent Preservation Areas (PPA) as well as its use conflicts by TM (Thematic Mapper) image of the 2010 Landsat-5 satellite, according to the Forest Code. For that purpose, Geographic Information Systems in the Ribeirão Paraíso watershed, São Manuel, SP were used. The combination of Remote Sensing and Geographic Information System technologies allowed representation of spatial distribution of the landscape and data integration in the diagnosis of geographic interest. The 2010 mapping showed 12 use categories, and the sugar cane crop had the largest land occupation, 48.25% of the area. The areas of permanent preservation amounted to 925.74 ha, which is an ideal value based on the Brazilian legislation. Mapping of land use conflicts showed intensive anthropic actions going 80.13% forward on PPAs, with only 19.87% remaining forests, which highlights their negative impact and illegal situations in these areas.

Diagnóstico de conflitos em áreas de preservação permanente na bacia do Rio Capivara - Botucatu (SP)

The permanent preservation areas (PPA) established by Brazilian law are there to protect the natural environment. With the expansion of space occupied by man and development of economic activities in these areas were engaged in conflicts characterized PPA, where the use is other than the natural vegetation. According to these paradigms work aims to raise these conflict areas in the River Basin Capivara, Botucatu (SP) with the help of GIS Ilwis 3.4, topographic maps of IBGE and satellite images CBERS 2B. The map was generated from PPA in the GIS by distance calculation in relation to drainage, springs and break line on Cuesta de Botucatu. The classes of land use and natural vegetation were determined by interpretation of satellite images and field visits to check their veracity. With the cutting of the map of land use and natural vegetation in relation to PPA unit it was determined that the total 44,63% PPA is in conflict occupied by pasture, forest plantation, orange, annual crops, farms and irrigated rice project in lowland. This diagnostic characterizes the degradation of the environment and highlights the need to harmonize the economic and urban development with the preservation of the environment to ensure sustainability of the region.

Cultivo da cana-de-açúcar e o uso do solo em áreas de preservação permanente

This study aimed to recognize the significant temporal changes in land use between 1984 and 2008 in Barra Bonita City/ SP and to analyze the conflicts of land use in permanent preservation areas (PPA) with reference to the Forest Code and Resolution N. 303/2002 of CONAMA. The GIS Idrisi Andes 5.0 – geographic information system was used and the images were processed by LANDSAT TM5. Maps of land use were obtained by Maxver supervised classification and showed that in 1984 the area occupied by sugar cane crop was about 10.50 ha (70%) in 1984 and 10.90 ha in 2008. In analysis of conflicts about land use in permanent preservation areas showed that in 24 years the sugar-cane crops increased 3.6% on PPA. The occupation was represented by adequate forest of 279.25 ha (31.5% of total) in 1984. In 2008, the sugar-cane crop was the biggest conflict in PPA occupying 357.9 ha and 11.4% corresponds to areas in preparation for use. This year, 59.5% of total PPA is at odds with environmental legislation.

Análise do conflito do uso e ocupação da terra em área de preservação permanente através do SIG

This study aimed to map the classes of use and occupation and their conflicts in Areas of Permanent Preservation (APPs) in the basin of Ribeirão São Pedro - Botucatu (SP) with the use of remote sensing techniques - image obtained by satellite 2011 - and the use of GIS. For this, we used the GIS techniques, and the integration of information held in the Geographic Information System (GIS) - IDRISI, coupled with the use of digital maps, published by the Brazilian Institute of Geography and Statistics - IBGE, scale 1: 50,000 and satellite images LANDSAT - 5 (2011) sensor TM (Thematic Mapper) with spatial resolution of 30 x 30 meters, provided by the National Institute for Space Research (INPE) .The Geographic Information System (GIS) was used IDRISI Selva and software, CartaLinx. This work had as legal support environmental legislation, specifically, the Federal Law 12.651 / 12. Thus, the study of the watershed becomes an important tool to understand its dynamics in relation to the use and occupation of their area and to characterize their environmental problems and taking as legal counsel to the preservation and conservation of the land to support environmental legislation.

Uso inadequado de áreas de preservação permanente

O grande desafio da população mundial é a conservação ambiental, pois as Áreas de Preservação Permanentes, que têm papel vital dentro de uma microbacia, por serem responsáveis pela manutenção, preservação e conservação dos ecossistemas ali existentes. O presente trabalho visou analisar os conflitos de uso do solo em áreas de preservação permanentes (APPs) da microbacia do Alto Capivara - Botucatu (SP) através do uso de Sistema de Informações Geográficas e de imagem de satélite digital. A área com 4551,19ha, situa-se entre as coordenadas geográficas: 22o 51’ 57” a 22o 57’ 55” de latitude S e 48o 21’ 58” a 48o 26’ 38” de longitude WGR. O mapa de uso do solo de 2006 foi obtido a partir da classificação supervisionada em imagem de satélite digital de 23/10/2006. Na identificação digital dos alvos foram utilizadas as chaves de interpretação para imagens e as áreas foram determinadas através do software SIG – IDRISI. Os conflitos de uso nas áreas de preservação permanente foram analisados ao longo da rede de drenagem e das nascentes, conforme itens dos artigos 2º e 3º da Resolução nº 303 do CONAMA. A área de APP discriminada ao longo da rede de drenagem foi de 416,5ha (9,15%) . No entanto, 201,15ha da área de APP está ocupada com pastagem (48,3%), reflorestamento (1,23%) e 0,48% por área urbana de forma inadequada (conflito). Portanto, quase 50% de área de APP vem sendo parcialmente utilizada adequadamente.