Adrien-Marie Legendre (1752-1833) e suas obras em Teoria dos Números

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

Gestão Social em Empreendimentos Econômicos Solidários: uma abordagem no Oeste Potiguar

The central research question was to search for data to ratify the theory and discourse of the so-called practitioners of economic solidarity, by defending the substantive rationality should guide the principles of economic solidary, designing the space economy incidental and not the primacy of relations in determining social as well, reflecting the predominance of dimensions of social management in administrative practices of ESS's. For both analyzed the theoretical dimensions of social management - sociopolitical, economic, organizational and environmental - manifested in organizational practices supportive of economic organization Potiguar West. For the success of the research realized the triangulation involving a combination of quantitative and qualitative methodological approaches. At first the research will use a quantitative approach, from the cluster analysis, to verify the behavior of the sample chosen for this study. In the second stage of the qualitative study was carried out focus group technique (FLICK, 2002) for further analysis of the dimensions of social management on organizational practices supportive of economic organization, related to the principles of Solidary Economy, established in a quantitative approach. In quantitative analysis, the socio-political dimension, it was clear that the more equity instruments of internal and external, from the purposeful living in public spaces, the best monetary results. Another point worth stressing concerns the economic dimension, with the practice reciprocity prevailing in market. Thus, the qualitative approach was possible to understand the processes of exchange of product or service. Rural enterprises surveyed in the allocation of the agro-ecological products have the following scale of priority, sequentially: self-consumption (domestic), market and exchange. The research leads to the fact that training and practices that enhance the socio-political dimension (knowledge, empowerment, sense of belonging) become the guiding principle for the strengthening of the social management in the context of other dimensions, leading to gains sociopolitical, economic, organizational and environmental. Despite the weaknesses found in the organizational dimension and environment, both in a quantitative as in qualitative, we determined that the practices of ESS's Potiguar West incorporate predominantly elements of social management and economic solidarity, with a preponderance of substantive rationality in the primacy of the instrumental. Finally, research has brought information that the participants of the ESS's do not give the money economy primacy in determining social relations, which in turn leads to the confirmation that, in practice the solidarity economy, prevailing the dominance of substantive rationality, as a guide for organizational practices

Okupar, resistir, insistir : uma etnografia das práticas de ocupação urbana Fortaleza / Ceará

The objective of this dissertation is understand the relationships built between subjects who occupy buildings in a state of abandonment to revitalize them - called okupas, noting which individuals construct such meanings on the practice of occupation and how to organize the construction and maintenance of a collective life project. Having the Okupa Squat Torém, located in the neighborhood of Fatima in the southern city of Fortaleza-CE, as locus and observed through the ethnographic method, followed the social practices of urban segment. I invested in a data collection revealed that the custom of okupas and their domestic habits, inside and outside of okupa, emphasizing the interaction situations, like most appropriate occasions to observe the constant negotiation and refinement of his cunning to intervene in the city . Among the objectives of this research, the main thing is to observe which senses are assigned to the practice of the occupation by okupas. For this, reflecting from the specifics of this urban phenomenon and talking mostly with the tradition of research in the field of anthropology, I tried to address some issues regarding the practice of okupação and organization of the group, which the principles and movements that make these contacts with city etc. The appropriation made by the subjects on the urban space here means understanding them as a cultural expression of a number of collective values, resulting from experience and perception of okupas like themselves. The intention is to show how this practice intervention and collective action has appeared in contemporary times and how my ethnography can contribute to a dialogue on the practices of mobilization and update of the city, considering the Theory of Recognition Axel Honneth (2003) as an analytical category useful to describe the forms of reciprocity experienced by okupas

Espirito de catimbo: a moral magico-religiosa da jurema

This participative research interested in the social praxis attempts to understand the moral principles that set the magic rituals and the places of worship of three jurema centers of the potiguar region of Canguaretama. Among other inner particularly aspects of each focused catimbó-jurema center, it is being discussed the collective standards involved in the reliance and fellowship values assumed in the private magical gatherings by the juremeiras leaders and their partners, in contrast to the prestige seeking and the individualism that influence both the symbolic competitions and the witchcraft works that link these agents to the broader catimbozeiro universe of this region. Finally, the moral practices which make part of the juremeiro left-right dualism are investigated based on the understanding that the referred native pantheonic-ritual dichotomy does not necessarily express two moralities substantially adversed in terms of benefits or harms, but a series of moral actions subject to the specular logic of the tit-for tat. Thus, this research seeks to prove that this moral structure of symbolic reciprocity, as well as the witchcraft centrality in the catimbozeiro world, finds a certain causal link in a world view which guiding principle is the ontological evil of the catholic cosmology

Henrique Novaes: técnica, território e cidade em uma trajetória profissional: Brasil, primeira metade do século XX

The career of civil engineer Henrique de Novaes, a remarkable figure in the academic, technical and political fields, demonstrates its extensive and relevant work across Brazil in the first half of the twentieth century. It covered from the design of water supply and sewage works, road and rail transport networks, works against drought in the Northeast, hydroelectric and harbor facilities to the urbanization planning and architectural projects, which displays a systematic and multiple production. City and territory conformed to his fields of verification, practical and above all, transformation. The search for understanding of the inclusion of a social actor in this process thus contributes to the specific analysis of the doings of Henrique de Novaes, who graduated at Polytechnic School of Rio de Janeiro in 1906. From a polymorphic activity in different scales, one tries to figure how, through academic education or professional practice, urban history in Brazil can be told or built. The introduction of technological innovations matched the purposes of planning and urban sprawl, as well as met the specifications of regulation and institutionalization of public infrastructure services at the time. The overall plans proposed by the engineer thought of the city as a whole, interconnected to the structural networks. At the same time, the knowledge of a larger physical scale the territory bounces back in the urban in a relationship of reciprocity and completeness. The objective research, therefore, tries to understand the roles played by Henrique de Novaes s works and academic education in the accomplishment of systematic modernization of Brazilian urban space and territory, recovering a little known historical figure by current historiography. It is proposed, as methodological axis, that the study of this professional career configures itself as an essential element for understanding the idea of progress embodied in the technical studies and proposals for improvements and sanitation nationwide in the first half of the twentieth century . The primary sources for the construction of this analysis were technical articles in journals of the period ( Clube de Engenharia , Viação e Revista Brasileira de Engenharia ), and technical reports, government messages, newspaper articles published at the time, autobiographical reports and the engineer s verbal communications with relatives. The work is structured in three chapters: "Biographical traces, academic education and 'technical and political' activities" illustrates the initiation into the technical, public and political environment; Chapter 2, "Technique and territory" outlines his network understanding through sanitation and transport services; Chapter 3 "Technique and City" describes the influence of polytechnics knowledge on the propositions of modernization of cities; Finally, "Final Thoughts: An Evaluation," presents an overview of the affiliations and practice of an engineer in the different scales, and its contribution to the modernization of Brazilian urban and territorial space

Capital social e igreja católica :expressões e práticas no sertão do Seridó

It historizes and it analyzes the social capital in the area Seridó. The traditions associative seridoenses are reconstructed starting from the dimensions: economical, social, religious person and politics. In them it is possible to notice actions that form the social capital of the area. The country of Seridó present an associative tradition based on the mutual help, in the trust and reciprocity that she remount there are decades in your history. The relationship among the Catholic Church, that historically it is present in the area, and rural communities, through your community associations, it is the backdrop where you/they are the responsible associative elements for the tear of the regional social fabric: in him (the backdrop) he/she is the responsible social capital for the work of the rural community organizations. The Catholic Church, through your social action and the Program of Combat to the Rural Poverty, of Rio Grande do Norte is the league that sustains the actions collective seridoenses

Campo e contracampo : o encontro com o outro no filme Lavoura Arcaica

This dissertation aims to comprehend how we meet with the other at cinema. For this, it receives the doubt, the uncertainty, the way that the human being is unfinished as stance of observation. It takes into consideration the multiples social vectors, historical, subjective, temporal and cultural which constitute these phenomena. The cinema is used as a cognitive resource in order to incorporate the poetic and the imaginary, making possible not forgetting gestures and knowledge that hatch from sounds, colours, remembrances, images, words, social exchanges, cognitive reciprocity that allow us to think about the culture, the society and the communication. For this, it has as theoretical prerequisites ideas of double (myselfthe other) and effective participation (projection-identification) developed by Edgar Morin, as well as the idea of communication as possibility/impossibility of constructions of bonds with the other through the body, our primary media, concepts developed by Harry Pross and Norval Baitello Jr. The chosen film to analysis is Lavoura Arcaica, it is an emblematic movie in the discussion of the human condition and in the relationship between the man and its body, its desires, with its nature/culture ambivalence. About this film are made reflections about the process of activation of the double (myself-the other) in the searching for the other through cinematographically elements of construction, as: montage, direction, screenplay, actors, scenography, costumes and soundtrack. In conclusion, the cinema, when it allows the effective participation and provides t e experiment of the double, becomes a gateway line in the path to development of the alterity

Gestão participativa em educação: compasso e descompasso de uma experiência de democracia no espaço escolar

This work aims at investigating the strategies of management used by State School Joaquim Jose de Medeiros, located in the city of Cruzeta - RN, as award practice of "School of Reference in Management", with a state title in 1999 at the beginning of the decade from 2000, being "Outstanding Brazil" from best management strategies nationally. In 2005, it is ranked among the best experiences of the state. It has been become complex by experiencing in that institution, but at the same time an enjoyable practice, mainly by using a social research, in a qualitative and quantitative approach, and a analysis of the institutional performance of two management practices: from 1995 to 2002 and from 2003 to 2007 . To understand the object, a investigative questionnaire was used with representatives of the school community and carried out an analysis of assessment of institutional and documents of institutional organization of the periods above in order to identify management strategies and examine the influences of the share capital, public policies , the institutional evaluation, in the process of democratic construction that has allowed achievements, highlighting Cruzeta, in the Seridó in the state of Rio Grande do Norte, semi-arid northeast, in the national and international juncture of well-successful experiences in management in institutional categories and leadership. This study becomes relevant to allow understand that the cultural practices of seridoenses that symbolize a capital generated by principles of trust, reciprocity, civic culture, as a driving force in overcoming the problems community and the conquest of democratic principles, worked for the school become a national reference in educational administration. Another aspect that made it natural that school was the collective creation of educational project with the participation and civic culture of self-evaluation as a way to understand the institutional practice and establish guidelines to improve the teaching and practice management in its many dimensions educational, social, administrative - financial and legal

Limites e possibilidades do programa nacional de alimentação escolar enquanto estratégia de promoção da segurança alimentar e nutricional no municipio de Macaíba/RN

This dissertation aims to understand the importance of the National School Feeding as a strategy for ensuring the promotion of food and nutrition security in the municipality of Macaíba / RN, taking into account the implementation of the Law School Feeding, 11,947, 2009. The program was extended to all public basic education, youth and adults, in addition to ensuring that 30% of transfers from FNDE, were intended for the purchase of products from family farms. The survey was conducted with 160 students from public schools and farmers nesting Quilombo dos Palmares II, who produce on their land vegetables, fruits and cereals for their own consumption, for sale in local markets, in addition to providing for PNAE. The reciprocity between neighbors, such as mutual aid and sharing of common goods was noticeable in this group of farmers, since it was necessary to meet weekly deliveries of products to schools. As students, we applied a test of acceptability in two schools located in rural and in urban areas, to learn the opinion of ourselves in relation to school food consumed. It was concluded that to be most effective program in the region, there must be a better match in school menus, so that it can be attractive to students and to ensure greater use of fresh food, the main ingredient of same, practice of nutrition education in schools, to teach students the importance of food to health. In relation to local management, noted the need for adjustments bureaucratic as hiring staff for the departments, in order to be more agile in releasing payments to farmers, in addition to hiring assistants general services for schools, one Since the cooks exert dual role, the cooking while being responsible for cleaning the entire school environment. Government investments in the rural sector would be extremely valuable for farmers, since they need financial resources to purchase inputs, irrigation projects for gardens, availability of land for planting, transportation to facilitate the delivery of its products to schools and technical assistance more frequently

O incesto : discurso e ideologia

This research had as purpose to establish the logic symbolic present in the contemporary society that facilitated the emergency of a public speech on the incest, and, consequently, to demonstrate the ideological nature that structures it. Event associated to the order of the taboo, the incest would be the transgression of the injunction that, second Lévi-Strauss, facilitated the emergency of the Culture while symbolic order, differentiated of the natural order. The injunction of the incest would reveal the elementary and universal structures of the order symbolic presents in the human societies: the demand of the Rule as rule; the reciprocity and the gift, present element in the social changes that it transforms the individuals in partners, increasing a new quality in the transferred value, according to Lévi-Strauss. Starting from this, I developed the hypothesis second which the phenomenon of the alone incest became an event of discursive order and public as right social transformations affected the normative system (social representations, values, moral) regulator of the relationships among the social subjects, being reflected like this, in the own structuring of the Law. A second work hypothesis was developed starting from that. I develop it leaving of the argument that if when inserting the discussion of the thematic of the defense of the children and adolescent rights, being then, considering it while "privileged modality of sexual abuse against children", the present central subjects in the structuring of the social entail would be leaved. Being like this, the partner-institutional speech on the incest would answer the social demands of order and social control, becoming like this, discursive formations of ideological character. This research work tried to follow the hypothesis above referred, demonstrating the singular sense that it will be attributed to the incest in the contemporary society, particularly, its relationship with the Law and the transgression in the contemporary society

Beirando a vida, driblando os problemas: estratégias de bem viver

The purpose of this study is to analyze the strategies used by families living in at-risk-and-vulnerable situations registered with the Estratégia Saúde da Família (ESF) ( Family Health Strategy ) as they face their daily problems. This is an investigation of a qualitative nature, using interview as the main tool for an empirical approach. Ten women from the Panatis location in northern Natal, Rio Grande do Norte, whose families live in precarious social-economical situations were interviewed. The interviews occurred between the months of April and June, 2007. The reports revealed that a mixture of improvisations and creativity was used as strategies for overcoming the privations and necessities of daily life. We also reached the conclusion that these families sought solutions for their problems through religiosity and a gift reciprocity system as resources for obtaining personal recognition and support in adversity. The results, in addition, point to ESF as one of the strategies used by these families in the search for attention and care. From this perspective, ESF has proven to be a place for listening and the construction of ties that are consolidated through home visits, organized groups, in parties and outings that are promoted in the community, reestablishing contact and support among people and signaling a way out of abandonment and isolation. Holders of knowledge constructed through life experiences, the participants of the study led us to induce and infer the need to amplify space that will allow them to express meanings, values and experiences, and consider that becoming ill is a process that incorporates dimensions of life that go beyond the physical. As health professionals, we need to be aware of the multiple and creative abilities used in the daily lives of these families, so that we can, along with them, reinvent a new way of dealing with health

Técnicas de simplificação de redes e otimização multiobjetivo para análise de variações de tensão em regime permanente provocadas por parques eólicos integrados ao sistema elétrico

This study presents a description of the development model of a representation of simplified grid applied in hybrid load flow for calculation of the voltage variations in a steady-state caused by the wind farm on power system. Also, it proposes an optimal load-flow able to control power factor on connection bar and to minimize the loss. The analysis process on system, led by the wind producer, it has as base given technician supplied by the grid. So, the propose model to the simplification of the grid that allows the necessity of some knowledge only about the data referring the internal network, that is, the part of the network that interests in the analysis. In this way, it is intended to supply forms for the auxiliary in the systematization of the relations between the sector agents. The model for simplified network proposed identifies the internal network, external network and the buses of boulders from a study of vulnerability of the network, attributing them floating liquid powers attributing slack models. It was opted to apply the presented model in Newton-Raphson and a hybrid load flow, composed by The Gauss-Seidel method Zbarra and Summation Power. Finally, presents the results obtained to a developed computational environment of SCILAB and FORTRAN, with their respective analysis and conclusion, comparing them with the ANAREDE

Um algoritmo para estimação de estado em alimentadores de distribuição de energia elétrica com base no método da soma de potências

Most algorithms for state estimation based on the classical model are just adequate for use in transmission networks. Few algorithms were developed specifically for distribution systems, probably because of the little amount of data available in real time. Most overhead feeders possess just current and voltage measurements at the middle voltage bus-bar at the substation. In this way, classical algorithms are of difficult implementation, even considering off-line acquired data as pseudo-measurements. However, the necessity of automating the operation of distribution networks, mainly in regard to the selectivity of protection systems, as well to implement possibilities of load transfer maneuvers, is changing the network planning policy. In this way, some equipments incorporating telemetry and command modules have been installed in order to improve operational features, and so increasing the amount of measurement data available in real-time in the System Operation Center (SOC). This encourages the development of a state estimator model, involving real-time information and pseudo-measurements of loads, that are built from typical power factors and utilization factors (demand factors) of distribution transformers. This work reports about the development of a new state estimation method, specific for radial distribution systems. The main algorithm of the method is based on the power summation load flow. The estimation is carried out piecewise, section by section of the feeder, going from the substation to the terminal nodes. For each section, a measurement model is built, resulting in a nonlinear overdetermined equations set, whose solution is achieved by the Gaussian normal equation. The estimated variables of a section are used as pseudo-measurements for the next section. In general, a measurement set for a generic section consists of pseudo-measurements of power flows and nodal voltages obtained from the previous section or measurements in real-time, if they exist -, besides pseudomeasurements of injected powers for the power summations, whose functions are the load flow equations, assuming that the network can be represented by its single-phase equivalent. The great advantage of the algorithm is its simplicity and low computational effort. Moreover, the algorithm is very efficient, in regard to the accuracy of the estimated values. Besides the power summation state estimator, this work shows how other algorithms could be adapted to provide state estimation of middle voltage substations and networks, namely Schweppes method and an algorithm based on current proportionality, that is usually adopted for network planning tasks. Both estimators were implemented not only as alternatives for the proposed method, but also looking for getting results that give support for its validation. Once in most cases no power measurement is performed at beginning of the feeder and this is required for implementing the power summation estimations method, a new algorithm for estimating the network variables at the middle voltage bus-bar was also developed

Uso de técnicas de otimização baseadas em derivadas como suporte do planejamento operacional de redes de distribuição de energia elétrica

The usual programs for load flow calculation were in general developped aiming the simulation of electric energy transmission, subtransmission and distribution systems. However, the mathematical methods and algorithms used by the formulations were based, in majority, just on the characteristics of the transmittion systems, which were the main concern focus of engineers and researchers. Though, the physical characteristics of these systems are quite different from the distribution ones. In the transmission systems, the voltage levels are high and the lines are generally very long. These aspects contribute the capacitive and inductive effects that appear in the system to have a considerable influence in the values of the interest quantities, reason why they should be taken into consideration. Still in the transmission systems, the loads have a macro nature, as for example, cities, neiborhoods, or big industries. These loads are, generally, practically balanced, what reduces the necessity of utilization of three-phase methodology for the load flow calculation. Distribution systems, on the other hand, present different characteristics: the voltage levels are small in comparison to the transmission ones. This almost annul the capacitive effects of the lines. The loads are, in this case, transformers, in whose secondaries are connected small consumers, in a sort of times, mono-phase ones, so that the probability of finding an unbalanced circuit is high. This way, the utilization of three-phase methodologies assumes an important dimension. Besides, equipments like voltage regulators, that use simultaneously the concepts of phase and line voltage in their functioning, need a three-phase methodology, in order to allow the simulation of their real behavior. For the exposed reasons, initially was developped, in the scope of this work, a method for three-phase load flow calculation in order to simulate the steady-state behaviour of distribution systems. Aiming to achieve this goal, the Power Summation Algorithm was used, as a base for developping the three phase method. This algorithm was already widely tested and approved by researchers and engineers in the simulation of radial electric energy distribution systems, mainly for single-phase representation. By our formulation, lines are modeled in three-phase circuits, considering the magnetic coupling between the phases; but the earth effect is considered through the Carson reduction. Its important to point out that, in spite of the loads being normally connected to the transformers secondaries, was considered the hypothesis of existence of star or delta loads connected to the primary circuit. To perform the simulation of voltage regulators, a new model was utilized, allowing the simulation of various types of configurations, according to their real functioning. Finally, was considered the possibility of representation of switches with current measuring in various points of the feeder. The loads are adjusted during the iteractive process, in order to match the current in each switch, converging to the measured value specified by the input data. In a second stage of the work, sensibility parameters were derived taking as base the described load flow, with the objective of suporting further optimization processes. This parameters are found by calculating of the partial derivatives of a variable in respect to another, in general, voltages, losses and reactive powers. After describing the calculation of the sensibility parameters, the Gradient Method was presented, using these parameters to optimize an objective function, that will be defined for each type of study. The first one refers to the reduction of technical losses in a medium voltage feeder, through the installation of capacitor banks; the second one refers to the problem of correction of voltage profile, through the instalation of capacitor banks or voltage regulators. In case of the losses reduction will be considered, as objective function, the sum of the losses in all the parts of the system. To the correction of the voltage profile, the objective function will be the sum of the square voltage deviations in each node, in respect to the rated voltage. In the end of the work, results of application of the described methods in some feeders are presented, aiming to give insight about their performance and acuity

Geometrias não-eucludianas como anomalias: implicações para o ensino de geometria e medidas

This present research the aim to show to the reader the Geometry non-Euclidean while anomaly indicating the pedagogical implications and then propose a sequence of activities, divided into three blocks which show the relationship of Euclidean geometry with non-Euclidean, taking the Euclidean with respect to analysis of the anomaly in non-Euclidean. PPGECNM is tied to the line of research of History, Philosophy and Sociology of Science in the Teaching of Natural Sciences and Mathematics. Treat so on Euclid of Alexandria, his most famous work The Elements and moreover, emphasize the Fifth Postulate of Euclid, particularly the difficulties (which lasted several centuries) that mathematicians have to understand him. Until the eighteenth century, three mathematicians: Lobachevsky (1793 - 1856), Bolyai (1775 - 1856) and Gauss (1777-1855) was convinced that this axiom was correct and that there was another geometry (anomalous) as consistent as the Euclid, but that did not adapt into their parameters. It is attributed to the emergence of these three non-Euclidean geometry. For the course methodology we started with some bibliographical definitions about anomalies, after we ve featured so that our definition are better understood by the readers and then only deal geometries non-Euclidean (Hyperbolic Geometry, Spherical Geometry and Taxicab Geometry) confronting them with the Euclidean to analyze the anomalies existing in non-Euclidean geometries and observe its importance to the teaching. After this characterization follows the empirical part of the proposal which consisted the application of three blocks of activities in search of pedagogical implications of anomaly. The first on parallel lines, the second on study of triangles and the third on the shortest distance between two points. These blocks offer a work with basic elements of geometry from a historical and investigative study of geometries non-Euclidean while anomaly so the concept is understood along with it s properties without necessarily be linked to the image of the geometric elements and thus expanding or adapting to other references. For example, the block applied on the second day of activities that provides extend the result of the sum of the internal angles of any triangle, to realize that is not always 180° (only when Euclid is a reference that this conclusion can be drawn)