14 resultados para 230102 Number Theory And Field Theory

em Universidade Federal do Rio Grande do Norte(UFRN)


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As an example of what happened in Brazil in the 90s, it s noticed in Natal a new system of cooperative housing production which is done by advancing the users resources selffinancing. This system comes as an alternative for the real state market performance since the end of the National Housing Bank (BNH), in 1986. Self-financed housing cooperatives play an important social role by contributing to own housing acquisition by low-income population, without, however, becoming a mechanism of social interest housing production. It is important to consider that Brazil registers a housing deficit of 6.6 million housing units (IBGE 2000/Census), which, compared to 1991, shows an increment of 21.7% to a growth rate of 2.2% a year. This deficit figure has been deepening, mainly with the end of the National Housing Bank (BNH). The self-financed cooperative housing production broadens around the Metropolitan Region of Natal (RMN) and remains as an alternative to the lack of financing in the housing / real state market. In general, the aim of this work is to analyze the role of self-financing housing cooperatives on the housing production in the RMN, in order to identify their role in the real state market, in the own housing promotion and in the housing policy. The Universe of this study is performance of four housing cooperatives - CHAF-RN, COOPHAB-RN, MULTHCOOP e CNH - that work through self-financing. It is considered here an amount of 38 undertakings launched between 1993 and 2002, including 8143 housing units. The methodology adopted consists of bibliographic, documental and field research. As a result, actions like brokerage, marketing, speculation, and the criteria to define places for undertakings and final products, show how close they are to the housing market production. As a matter of fact, this short distance explains why the self-financed cooperative production for social interest housing is still limited. This reinforces the theory that it is necessary to define and implement a subsidized housing policy to serve the low-income Brazilian population

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The present thesis is an analysis of Adrien-Marie Legendre s works on Number Theory, with a certain emphasis on his 1830 edition of Theory of Numbers. The role played by these works in their historical context and their influence on the development of Number Theory was investigated. A biographic study of Legendre (1752-1833) was undertaken, in which both his personal relations and his scientific productions were related to certain historical elements of the development of both his homeland, France, and the sciences in general, during the 18th and 19th centuries This study revealed notable characteristics of his personality, as well as his attitudes toward his mathematical contemporaries, especially with regard to his seemingly incessant quarrels with Gauss about the priority of various of their scientific discoveries. This is followed by a systematic study of Lagrange s work on Number Theory, including a comparative reading of certain topics, especially that of his renowned law of quadratic reciprocity, with texts of some of his contemporaries. In this way, the dynamics of the evolution of his thought in relation to his semantics, the organization of his demonstrations and his number theoretical discoveries was delimited. Finally, the impact of Legendre s work on Number Theory on the French mathematical community of the time was investigated. This investigation revealed that he not only made substantial contributions to this branch of Mathematics, but also inspired other mathematicians to advance this science even further. This indeed is a fitting legacy for his Theory of Numbers, the first modern text on Higher Arithmetic, on which he labored half his life, producing various editions. Nevertheless, Legendre also received many posthumous honors, including having his name perpetuated on the Trocadéro face of the Eiffel Tower, which contains a list of 72 eminent scientists, and having a street and an alley in Paris named after him

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The study theme is the Rural Familiar House Program (RFHP), through the Rural Familiar House of Uruará-PA city (URFH), from 2000 to 2005. It is considered as base the education offered to the field young people, in the modality of basic education by alternation methodology between the Familiar and School Times in the two first from 5th to 8th grade classrooms. From the argument about the understanding importance and need of knowledge transmission and construction to be established in the inter-section between general references of the social reality and the subjective ones. It constitutes an educative work that both values domain of knowing and the creative capacity of each pupil. Considering that the greatest aim of the education is the human being emancipation, this thematic for the development of the documentary and field research was defined with the delimitated thematic for the educative practice-proposal in alternation, choosing the Program of the RFHs as the reference to carry out an analysis which considered fruitful in the articulation between education and educative work. This study had the objective to contribute for the debate concerning the alternation and to understand presuposals and educative practice of the RFHs what its importance for the young people and its relation with the field educational policy. For this, it was used, mainly, from analytical references of authors, such as Williams, Gramsci, Adorno, Freire, Shiva, Soares, Molina, Tonet, et. all, all were also important for the construction of this work. The studied documentary sources, as well as the verbal ones the actors also interviewed had allowed, in irreplaceable way and significantly, a critical analysis on the pedagogical proposals and the articulation among school, familiar work and education, which was carried out in the formation of URFH, the sessions of alternation between Time School and Time Family. The results are scored with the chapter construction, as they had presented themselves in several sources and the reading which was made. A reading that signals for the affirmation which is possible to overtake the emphasis on technicality, mediated in the practice-theory-practice relation, still present in the alternation, and, thus, to be able to make an educative work that intends to contribute for the young people education with capacity of being, thinking and to act actually as subjects of their history

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The present dissertation analyses Leonhard Euler´s early mathematical work as Diophantine Equations, De solutione problematum diophanteorum per números íntegros (On the solution of Diophantine problems in integers). It was published in 1738, although it had been presented to the St Petersburg Academy of Science five years earlier. Euler solves the problem of making the general second degree expression a perfect square, i.e., he seeks the whole number solutions to the equation ax2+bx+c = y2. For this purpose, he shows how to generate new solutions from those already obtained. Accordingly, he makes a succession of substitutions equating terms and eliminating variables until the problem reduces to finding the solution of the Pell Equation. Euler erroneously assigns this type of equation to Pell. He also makes a number of restrictions to the equation ax2+bx+c = y and works on several subthemes, from incomplete equations to polygonal numbers

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The Family Health Strategy (ESF) is emerging as a possible restructuring of services and new practices of intervention in health care; it requires skilled professionals to work with that framework. Within this purpose, we established the Education Programme for Work and Health (PET-Saúde), in order to integrate teaching and service activities, focusing on primary care. On this basis, the aim of this work is to apprehend the social representation of nurse, doctor and dentist (Project PET-Natal Health RN preceptors) on the ESF, while practice field of them. It is a descriptive and exploratory study, with a qualitative approach, carried out in 07 Family Health Units (USF) included in the PET-Saúde Natal (RN). The population was composed of 35 professional components of the primary care team with bachelor's degree of the USF linked to this project. The sample was composed of 05 nurses, 05 physicians and 05 dentists, for a total of 15 subjects. Data were collected through three instruments: the drawing-themed story, a semi-structured individual interviews and field diary. The data relating to the identification of the subjects were entered and tabulated by the Microsoft Excel software 2007 version. The drawing analysis and interpretation is given by the significance attributed to the resource chart from title and keywords assigned by the subjects, considering the ESF as an inductive term. The stories and interviews were transcribed and typed and then subjected to read/listen the material and a lexical analysis through Alceste. After this process, the discursive material was analyzed and discussed by theoretical and methodological feature of the Social Representations theory. The majority of health professionals were female, aged between 46 and 52 years old, married, income less than six minimum wage, time since graduation ranged from 22 to 29 years and working time in the ESF range from 02 to 11 years. From the classification system ALCESTE were selected categories identified by: Category 1 - ESF: relations and territory; Category 2 - Training and bond profile; Category 3 - Working process in the ESF; Category 4 - Articulation between teaching and service; Category 5 - Health care and disease prevention. The representational field construction, while a process, followed the logic of structural cores in existing categories. In this sense, it is clear that the ESF is an environment rich in diversity, experience and relationships with potential such as the relationship "very subject-subject" and the link established between professional-community, but also has some weaknesses such as poor working conditions, lack of popular participation and management support, thus difficulties in the achievement of teamwork. Being essential to that end, the teaching-service aimed at the formation of a new health professional able to work in the ESF. In this research, the training of the representational field encountered a diversity of structural cores, or thoughts on training, about the ESF because of the greater emphasis on the here and now of the interaction between health professionals, the ESF, the community, PET Health-UFRN and students, emphasizing that such proposals are still considered as concepts in the context of recent health and that, therefore, are not fully realized in the social imaginary

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Among the many methodological resources that the mathematics teacher can use in the classroom, we can cite the History of Mathematics which has contributed to the development of activities that promotes students curiosity about mathematics and its history. In this regard, the present dissertation aims to translate and analyze, mathematically and historically, the three works of Euler about amicable numbers that were writed during the Eighteenth century with the same title: De numeris amicabilibus. These works, despite being written in 1747 when Euler lived in Berlin, were published in different times and places. The first, published in 1747 in Nova Acta Eruditorum and which received the number E100 in the Eneström index, summarizes the historical context of amicable numbers, mentions the formula 2nxy & 2nz used by his precursors and presents a table containing thirty pairs of amicable numbers. The second work, E152, was published in 1750 in Opuscula varii argument. It is the result of a comprehensive review of Euler s research on amicable numbers which resulted in a catalog containing 61 pairs, a quantity which had never been achieved by any mathematician before Euler. Finally, the third work, E798, which was published in 1849 at the Opera postuma, was probably the first among the three works, to be written by Euler

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Galactic stellar clusters have a great variety of physical properties that make valuable probes of stellar and galactic chemical evolution. Current studies show a discrepancy between the standard evolutionary models and observations, mainly considering the level of mixing and convective dilution of light elements, as well as to the evolution of the angular momentum. In order to better settle some of these properties, we present a detailed spectroscopic analysis of 28 evolved stars, from the turn-off to the RGB, belonging to the stellar open cluster M67. The observations were performed using UVES+FLAMES at VLT/UT2. We determined stellar parameters and metallicity from LTE analysis of Fe I and Fe II lines between 420 1100 nm. The Li abundance was obtained using the line at 6707.78 ˚A, for the whole sample of stars. The Li abundances of evolved stars of M67 present a gradual decreasing when decreasing the effective temperature. The Li dilution factor for giant stars of M67 with Teff ∼ 4350K is at least 2300 times greater than that predicted by standard theory for single field giant stars. The Li abundance as a function of rotation exhibits a good correlation for evolved stars of M67, with a much smaller dispersion than the field evolved stars. The mass and the age seem to be some of the parameters that influence this connection. We discovered a Li-rich subgiant star in M67 (S1242). It is member of a spectroscopic binary system with a high eccentricity. Its Li abundance is 2.7, the highest Li content ever measured for an evolved star in M67. Two possibilities could explain this anomalous Li content: (i) preservation of the Li at the post turn off stage due to tidal effects, or (ii) an efficient dredge-up of Li, hidden below the convective zone by atomic diffusion occurring in the post turn off stage. We also study the evolution of the angular momentum for the evolved stars in M67. The results are in agreement with previous studies dedicated to evolved stars of this cluster, where stars in the same region of the CM-diagram have quite similar rotations, but with values that indicate an extra breaking along the main sequence. Finally, we analize the distributions of the average rotational velocity and of the average Li abundance as a function of age. With relation to the average Li abundances, stars in clusters and field stars present the same type of exponencial decay law t−β. Such decay is observed for ages lesser than 2 Gyr. From this age, is observed that the average Li abundance remain constant, differently of the one observed in the rotation age connection, where the average rotational velocity decreases slowly with age

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Lithium (Li) is a chemical element with atomic number 3 and it is among the lightest known elements in the universe. In general, the Lithium is found in the nature under the form of two stable isotopes, the 6Li and 7Li. This last one is the most dominant and responds for about 93% of the Li found in the Universe. Due to its fragileness this element is largely used in the astrophysics, especially in what refers to the understanding of the physical process that has occurred since the Big Bang going through the evolution of the galaxies and stars. In the primordial nucleosynthesis in the Big Bang moment (BBN), the theoretical calculation forecasts a Li production along with all the light elements such as Deuterium and Beryllium. To the Li the BNB theory reviews a primordial abundance of Log log ǫ(Li) =2.72 dex in a logarithmic scale related to the H. The abundance of Li found on the poor metal stars, or pop II stars type, is called as being the abundance of Li primordial and is the measure as being log ǫ(Li) =2.27 dex. In the ISM (Interstellar medium), that reflects the current value, the abundance of Lithium is log ǫ(Li) = 3.2 dex. This value has great importance for our comprehension on the chemical evolution of the galaxy. The process responsible for the increasing of the primordial value present in the Li is not clearly understood until nowadays. In fact there is a real contribution of Li from the giant stars of little mass and this contribution needs to be well streamed if we want to understand our galaxy. The main objection in this logical sequence is the appearing of some giant stars with little mass of G and K spectral types which atmosphere is highly enriched with Li. Such elevated values are exactly the opposite of what could happen with the typical abundance of giant low mass stars, where convective envelops pass through a mass deepening in which all the Li should be diluted and present abundances around log ǫ(Li) ∼1.4 dex following the model of stellar evolution. In the Literature three suggestions are found that try to reconcile the values of the abundance of Li theoretical and observed in these rich in Li giants, but any of them bring conclusive answers. In the present work, we propose a qualitative study of the evolutionary state of the rich in Li stars in the literature along with the recent discovery of the first star rich in Li observed by the Kepler Satellite. The main objective of this work is to promote a solid discussion about the evolutionary state based on the characteristic obtained from the seismic analysis of the object observed by Kepler. We used evolutionary traces and simulation done with the population synthesis code TRILEGAL intending to evaluate as precisely as possible the evolutionary state of the internal structure of these groups of stars. The results indicate a very short characteristic time when compared to the evolutionary scale related to the enrichment of these stars

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As an example of what happened in Brazil in the 90s, it s noticed in Natal a new system of cooperative housing production which is done by advancing the users resources selffinancing. This system comes as an alternative for the real state market performance since the end of the National Housing Bank (BNH), in 1986. Self-financed housing cooperatives play an important social role by contributing to own housing acquisition by low-income population, without, however, becoming a mechanism of social interest housing production. It is important to consider that Brazil registers a housing deficit of 6.6 million housing units (IBGE 2000/Census), which, compared to 1991, shows an increment of 21.7% to a growth rate of 2.2% a year. This deficit figure has been deepening, mainly with the end of the National Housing Bank (BNH). The self-financed cooperative housing production broadens around the Metropolitan Region of Natal (RMN) and remains as an alternative to the lack of financing in the housing / real state market. In general, the aim of this work is to analyze the role of self-financing housing cooperatives on the housing production in the RMN, in order to identify their role in the real state market, in the own housing promotion and in the housing policy. The Universe of this study is performance of four housing cooperatives - CHAF-RN, COOPHAB-RN, MULTHCOOP e CNH - that work through self-financing. It is considered here an amount of 38 undertakings launched between 1993 and 2002, including 8143 housing units. The methodology adopted consists of bibliographic, documental and field research. As a result, actions like brokerage, marketing, speculation, and the criteria to define places for undertakings and final products, show how close they are to the housing market production. As a matter of fact, this short distance explains why the self-financed cooperative production for social interest housing is still limited. This reinforces the theory that it is necessary to define and implement a subsidized housing policy to serve the low-income Brazilian population

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This thesis pursuits to contextualize the theoretical debate between the implementation of public education policy of the Federal Government focused in a distance learning and legal foundations for its enforcement, in order to raise questions and comments on the topic in question. Its importance is back to provide scientific input and can offer to the academy, particularly in the UFRN, and elements of society to question and rethink the complex relationship between the socio-economic and geographic access to higher education. It consists of a descriptive study on the institutionalization of distance education in UFRN as a mechanism for expanding access to higher education, for both, the research seeks to understand if the distance undergraduate courses offered by the UAB system and implemented at UFRN, promote expanding access to higher education, as it is during implementation that the rules, routines and social processes are converted from intentions to action. The discussion of this study lasted between two opposing views of Implementation models: Top-down and Bottom-up. It is worth noting that the documents PNE, PDE and programs and UAB MEETING reflect positively in improving the educational level of the population of the country It is a qualitative study, using the means Bibliographic, Document and Field Study, where they were performed 04 (four) in 2010 interviews with the management framework SEDIS / UAB in UFRN. The data were analyzed and addressed through techniques: Document Analysis and Content Analysis. The results show that the process of implementation of distance education at UFRN is in progress. According to our results, the research objective is achieved, but there was a need to rethink the conditions of the infrastructure of poles, the structure of the academic calendar, the management of the SEDIS UFRN, regarding the expansion of existing vacancies and the supply of new courses by the need for a redesign as the Secretariat's ability to hold the offerings of undergraduate courses offered by the Federal Government to be implemented in the institution. It was also found that levels of evasion still presents a challenge to the teaching model. Given the context, we concluded that the greatest contribution of UAB and consequently UFRN by distance learning for undergraduate courses (Bachelor in Mathematics, Physics, Chemistry, Geography and Biological Sciences, beyond the bachelor's degrees in Business and Public Administration ) is related to increasing the number of vacancies and accessibility of a population that was previously deprived of access to university

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This dissertation is about the spatial configuration in Natal and processes in the Ponta Negra neighborhood today. Ponta Negra has undergone a number of critical social and spatial changes due to tourism development after the 1990s. It is of special interest to consider the intensification of real estate investment after 2000, when the new airport terminal, located in the neighboring municipality of Parnamirim, was in use. Ponta Negra is the place where most tourists go to, so attracting considerable public investments. New agents of transformation have produced change in the neighborhood as well. The present study aims at analysing the spatial processes in this part of the city. Here, the spatial configuration that resulted from extended real estate investments, both public and private, in recent years, is analysed in detail. The study identifies the multually differentiated, however internally homogenous areas. The concepts of production of space, contemporanean urban development and spatial dynamics are discussed. The research is based on document analysis and field work. Results were plotted to maps and tables. A detailed analysis of the spatial processes in the Ponta Negra neighborhood is undertaken as a conclusion, considering the contemporanean global scenario

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The subject of public safety is part of the academic and popular discussions, due to several factors that act in society culminating in an increasing criminality. The importance of the evaluation of public policies in this context consists in a possible control tool, monitoring and necessary adjustments to the government to make the necessary changes. Given this reality, it is thought the research problem: how Mossoró (RN) city has implemented his public security policy? In general guideline of the research, we work with the following hypothesis: the own formulation of the National Policy of Public Safety there are elements that hinder the implementation of a public policy of municipal security in Mossoró. The objective of this research is to evaluate the existing security public policy in the city of Mossoró, by the elements that facilitate and/or hamper its implementation, through the actions of municipal government in the activities of the Mossoro Civil Guard (GCM). For this, a review of the implementation process was conducted, specifically its subprocesses of selection, training, and logistical or operational. Was used bibliographical research, documental primary and secondary, and field research, with conducting of interviews. It was found that with a staff of 197 guards, and with five years of creation, the actions developed by this institution refer to an early implementation of the municipal security policy. The guard has the basic pattern selection, part of function relocation and part of public tender. The formation occurs in an introductory way, however, not complete and specific, for the function performance. Its operability is limited by the number of existing effective and by the physical structure that has not matching the demand yet, which touches on the municipal budgetary reality of direct resource intended to safety. It was found the absence of a municipal plan of public security with principles, guidelines and goals that could direct the actions of the guard. It is concluded that despite of the implementation of the GCM Mossoró have not achieved, within the parameters of efficiency, efficacy and effectiveness have played their actions, projects and programs, it could trigger a process of opening for construction of a municipal security policy. As well as break with the paradigm of municipal actions just meant for surveillance of public property, interaction affirmative for the prevention of violence and crime

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The state has changed over time in order to meet a society with increasingly stringent demands. Techniques of private means begin to be employed in an attempt to overcome the dysfunctions entrenched bureaucracy, making the machine faster. By federal law by the People Management Skills was established as a reference for the administration of Human Resources of the public sector in an attempt to develop professionally servers, based mainly on the three pillars of the model: the knowledge, skills and attitudes. This thesis aims at understanding, in the view of employees, the perceived impacts on the organizational changes occurring in the Department of Administration and Human Resources of the State of Rio Grande do Norte in order to implement a People Management Skills-based. It is a simple case study, characterized by the research during a certain period of time, collecting data in a real environment of an organization, in this case SEARH/RN. The procedures used in collecting data were the literature review, documental research and field research. We used a qualitative approach with exploratory and descriptive approach. Every reform was implemented in the institution and reported from there analyzed the impacts observed by the servers. As a result we observed a considerable advance in institutional activities, mainly relating to physical structure / organizational and human resource policies, with minor advances on labor policies, in much the result of the guiding focus of the reform on SEARH/RN. The impacts in total were more positive than negative and direct paths to improvement in public organizations. Making a general analysis of the modernization program implemented in SEARH/RN, we can conclude that there was a distinct change in all dimensions studied, mostly pointing out positive aspects, and contrary to the opinion of some authors, who claim to be very difficult to implement reforms in public organizations, since they are highly institutionalized environments. What was found was a big organization, with gaps and weaknesses, but with a much larger number of hits and recognition from institutional actors

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The study area is inserted in Ponta do Tubarão region, Macau City, setentrional littoral of Rio Grande do Norte State, composed of Tertiary and Quatemary sedimentary rocks and sediments. This region is characterized for the intense action of the coastal processes, causing the morphologic instability in part of the area, beyond the interference of human activities, as the Petroliferous Industrial Polo, salt companies and shrimp farms. This justifies the integration of multidisciplinary and multitemporal detailed scientific studies dealing with the evaluation of the changing behavior of this coastal environment by geoenvironments elements characterization, identifying protected and recuperation areas, mainly those under socioeconomic intervention. The main objective was the coastal monitoring using geoprocessing techniques to prepare thematic maps useful for oil spilling environment risk areas survey. The methodology was based on multitemporal interpretation of remote sensing images and field checking, integrated in a Geographical Information System (GIS). The Geologic, Geomorphologic, Vegetation, Soil and Land Use maps were prepared, and later on they allowed the generation of the Natural Vulnerability and Environmental Vulnerability maps. These maps had been classified in accordance with vulnerability degrees: very low, low, medi um, high and very high. Beyond these maps the GIS allowed the analysis of the shoreline evolution for 10 distinct dates, using Landsat 5 TM and 7 ETM+ and SPOT-HRVIR images. This analysis made possible the attendance of the coastal morphodynamic evolution, where the results had been represented by areasof erosion and accretion (or deposition) of sediments, pointing critical areas under erosive process to the petroliferous industry (Macau and Serra fields). The GIS also provided to prepare the Environmental Sensitivity Maps of Oil Spill (SAO Maps) in operational scale (1: 10.000), according to the norms ofthe Ministério do Meio Ambiente (MMA 2002). The SAO Map in operational scale was based on IKONOS images mosaic where the ESI (Environmental Sensitivity Index) was represented according with two tides phases of theregion. Therewere recognizedfiveESI (3, 4,7,9, 1O) for the low tide; to the high tide the ESI number increased to seven (3, 4, 5, 7, 8, 9, 10). All these information are necessary to the decisions making about oi! spill and its derivatives containment. These techniques application makes possible the optimization and implantation ofnew socioeconomics activities of low environmental impact, indicates areas for better productivity and security exploration, and benefits local communities with fauna and flora preservation. The development of these activities is inserted in the scope of Monitoramento Ambiental de Áreas de Risco a Derrames de Petróleo e Seus Derivados Cooperation Project (Rede 05/01 - PETRORISCO, FINEP/CTPETRO/PETROBRAS) of multidisciplinary and interinstitucional characteristics dealing with subjects involving the environmental monitoring and the petroliferous activity