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

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

Ética e educação clássica: virtude e felicidade no justo meio

O presente estudo debruça-se sobre a interface do problema educativo com a problemática da ética, compreendendo a pedagogia com a arte/ciência voltada para a busca do bem educar/instruir/formar. Para tanto, o texto mobilizará conceitos da concepção ética da Aristóteles; e, na atmosfera mental da Grécia clássica, recorre-se ao termo específico grego e transdisciplinar na origem: paideia. A seguir, este ensaio procura pontuar alguns aspectos da concepção iluminista a propósito do tema, valendo-se da noção kantiana de imperativo categórico, a qual teria sido precedida pelo parecer de Rousseau, segundo o qual a vontade - e não a razão - seria a marca distintiva do gênero humano no ambiente natural. A idéia de Piaget de uma ética da reciprocidade também é aqui mobilizada. Abordando diacronicamente a temática, serão analisados conceitos de autores clássicos no debate da relação entre educação e ética, com destaque para o sentido conferido por Hanna Arendt para a autoridade como critério distintivo da relação assimétrica entre o educador (as gerações adultas de maneira geral) e os estudantes (ou as novas gerações). Arendt defende, como conceito e pressuposto operatório, a dimensão necessariamente conservadora do ato educativo: compete ao educador preservar do mundo as novas gerações e preservar o mundo das novas gerações - para que estas não destruam o suporte e o acervo cultural acumulados.

Prazer com razão: análise e crítica da ética sexual Kantiana

This work aims to present the foundations of Kantian ethics concerning to moral judgments about sexual practices. It shows that the sexual act, for the philosopher, inevitably degrades individuals who are taking part of it, given its objectifying nature, manifested in the usage of individuals as mere means to obtain pleasure. To solve this quandary of nature since humanity is an end in itself, by the virtue of being bearer of rationality and cannot, therefore, be treated as mere means Kant claims that marriage is morally the appropriate locus for the exercise of sexuality, given the reciprocity forged there, preventing degradation. In marriage, the bond established between the impulse of nature to the conservation of the species achieved through the sexual intercourse opened to procreation and the duty of man in regarding himself as an animal being preserving the species without degrading the person is accomplished in a fully moral way. This text clarifies that the justification for the assumption of this solution is fixed at two developments of the categorical imperative: the formulas of the law of nature and humanity. Despite the fact the first brings significant contributions to human relations through the concept of reciprocity, the second establishes a normative role for the teleological argument of sexuality, becoming an obstacle in kantian's practical philosophy. To overcome that obstacle, we outline a critics which relies on the studies of Michel Foucault about sex and the power techniques related to them, producer of a scientia sexualis in the Western, demonstrating that the moral of the philosopher from Königsberg is also present in this project somehow. Finally, in a foucaultian's reading of kantian Aufklärung, we recognize that, to propose new ethical possibilities of the experience of sexuality, it is necessary to think and create new relational spaces in which the subject takes autonomously the government of self.

Fatores que influenciam a cooperação em humanos

Human cooperation is fundamentally affected by reciprocal exchange, but it is also remarkably common on the context of large and symbolically marked in-groups, which promote cooperation through the feeling of belonging to a group. In this thesis, two empirical articles were produced in order to investigate how human cooperation is affected by factors such as reciprocity, in-group behavior, in-group markers and gender. We investigated this subject through the administration of online games consisting of token donations, on which the subjects faced virtual players controlled by the experiment. We found that cooperative behavior is strongly influenced by reciprocity, and it is also affected by the in-group behavior, observed on the context of the social variables place of birth, ethnicity, and religions, once all of them acted as in-group markers. The subjects´ in-group behavior was enhanced when they played with generous in-group opponents, but weakened when their in-group opponents were non-generous. It was also found that cooperation is not affected by gender, but men and women cooperated in different ways under the influence of reciprocity and in-group behavior. Women are much more reciprocal on their cooperative behavior and men are less willing to cooperate with outgroupers, even when they act generously. The overall results contribute to a better understanding of the adaptive value of cooperation, reciprocity and in-group behavior on the solution of important challenges through the human evolutionary history

A relação de amizade nas redes sociais de estudantes universitários de Natal/RN

The basis of sociability in humans is based on cooperation. The relationship of friendship is vital to the social, emotional and cognitive development of an individual and can be understood as a consequence of selection for reciprocal altruism in humans. The period of adulthood is considered very suitable and appropriate for the investigation of the relations of friendship, but the Brazilian literature on friendship in adults is still nascent. Therefore, the objective was to characterize the relationship of friendship among college students. The study gathered 500 students from higher education institutions in the city of Natal-RN, Brazil, and 250 women (average age 24.1 ± 7.66 years) and 250 men (mean age 26.77 ± 9.64 years). Two questionnaires anonymously and individual were applied: a sociodemographic questionnaire and the other with the desired characteristics in idealized friends. Study 1 assessed the degree of importance of characteristics in the process of choosing a friend of the same sex and opposite sex of the participant. Study 2 investigated the relationship between patterns of idealization of friends and self-assessment of participants. Overall, were the preferred characteristics "Companionship" and "Sincerity" to idealized friends. We also found the influence of sex on the characteristics attributed to an female ideal friend, with emphasis on men for "Beauty/Good looks" and "Intelligence" and women to "Companionship" and "Sincerity". Finally, we observed a positive correlation between participants' self-assessment and preferences for the characteristics of the friends devised. This study revealed important elements for understanding the relationship of friendship, specifically the process of choosing friends. The results reinforce the importance of studying the relationship of friendship to a better understanding of human social behavior.

BEM Formulations Based on Kirchhoff's Hypoyhesis to Perform Linear Bending Analysis of Plates Reinforced by Beams

In this work, are discussed two formulations of the boundary element method - BEM to perform linear bending analysis of plates reinforced by beams. Both formulations are based on the Kirchhoffs hypothesis and they are obtained from the reciprocity theorem applied to zoned plates, where each sub-region defines a beam or a stab. In the first model the problem values are defined along the interfaces and the external boundary. Then, in order to reduce the number of degrees of freedom kinematics hypothesis are assumed along the beam cross section, leading to a second formulation where the collocation points are defined along the beam skeleton, instead of being placed on interfaces. on these formulations no approximation of the generalized forces along the interface is required. Moreover, compatibility and equilibrium conditions along the interface are automatically imposed by the integral equation. Thus, these formulations require less approximation and the total number of the degrees of freedom is reduced. In the numerical examples are discussed the differences between these two BEM formulations, comparing as well the results to a well-known finite element code.

A BEM formulation for analysing the coupled stretching-bending problem of plates reinforced by rectangular beams with columns defined in the domain

In this work, a boundary element formulation to analyse plates reinforced by rectangular beams, with columns defined in the domain is proposed. The model is based on Kirchhoff hypothesis and the beams are not required to be displayed over the plate surface, therefore eccentricity effects are taken into account. The presented boundary element method formulation is derived by applying the reciprocity theorem to zoned plates, where beams are treated as thin sub-regions with larger rigidities. The integral representations derived for this complex structural element consider the bending and stretching effects of both structural elements working together. The standard equilibrium and compatibility conditions along interface are naturally imposed, being the bending tractions eliminated along interfaces. The in-plane tractions and the bending and in-plane displacements are approximated along the beam width, reducing the number of degrees of freedom. The columns are introduced into the formulation by considering domain points where tractions can be prescribed. Some examples are then shown to illustrate the accuracy of the formulation, comparing the obtained results with other numerical solutions.

Comportamento sócio-espacial de pessoas em movimento :um estudo exploratório no calçadão da Avenida Engenheiro Roberto Freire

People-environment interaction, focus of Environmental Psychology studies, presupposes that space influences behavior and vice-versa. Despite of the importance of dynamic reciprocity, there are a few works that treat the mobility condition of the people experimenting space. The present study investigates environmental perception of users of the Engenheiro Roberto Freire Avenue sidewalk, one of the few places in Natal for physical activities practicing, where most people are in intense and continuous movement. A few questions for this study where made: In what way does the individual realize the environment while he is moving? How do reciprocal man-environment relations occur there, according to a mobility context? What are the main difficulties and easiness in man-environment interaction under this condition? The search for these answers is based on concepts of social-spatial human behavior - especially personal space, territoriality, density and crowding and contributions of Barker´s Ecologycal Psychology. Considering that the physical space in this case is multifaceted and the perception of theses scenarios is governed by multiples senses and stimuli, it was defined a multi-methodological route: (i) observation participative in loco; (ii) identification of the main behavior settings at the area; (iii) categorization of the activities occurring at the place; (iv) application of a semi-structured interview; (v) images registered and (vi) construction of the researcher s log. The perception of oneself and others in movement in the environment, immersed in a intricate web of inter-actions, makes people develop mobility strategies, many times unconsciously, with the aim of ensuring satisfaction in its activities. Since the Eng. Roberto Freire Avenue sidewalk is an equipment public-urban largely used by the population of Natal, the reflection of the mobility effectiveness in the users environmental perception is expected, providing suggestions for future studies in this field of knowledge

Adolescentes e jovens e suas bases de apoio :relações de amizade como suporte social no enfrentamento à violência

The purpose of this work is to map the family and community social supports for adolescents and young students from Bom Pastor Distric, West Zone of Natal/RN, as well as to describe how such resources are used by these individuaIs in that community. Social support refers not only to formal activities or organizations, but also to spontaneous or informal forms of support - friendship and solidarity nets available in the community, affective relations that are meaningful in the lives of children and young people. Our discussion is based on a research performed with 382 adolescents and young students from Jean Mermoz Public School (students from 5th to 11th grades, aged 13 to 14). We emphasized the situations of violence derived from family or community spheres faced by these students. In relation to this specific aspect, we observed the participants more frequently look for help from the informal social supports, mostly from their friends, which indicates that the formal ones are not considered to be effective instruments for social assistance. The search for informal social supports shows the relations informally established in the streets (for instance when they look for help from friends, rei atives or neighbors) have more effect and play an important role in which there are values and affections exchange. Thinking the strengthening of these social links is of extreme importance and leads to the weakening of the hegemonic logics focused on the production of subjects as private identities, and to the amplification of an ethics committed to the disassembly of a sociability anchored to fear, impotence, intolerance, discrimination, and reduction of spaces for circulating and confronting mechanisms of social exclusion. It is crucial that we concentrate our attention to building friendship as a system of reciprocity and affective exchanges, as a space for political actions and production of forms of lives that are potent against social anesthesia

A humanização da saúde no cotidiano de usuários da estrategia saúde da família

This research assumes that for changes in health practices directed to an integral care, is crucial humanization, participation and autonomy of service users. In this sense, the research had investigated the issue of humanization involving users of the Family Health Strategy (FHS) in city of Mossoró, having as objectives: to analyze the perceptions of users on humanization in the production of health care in daily of Family Health Strategy, from these perceptions, identify elements featuring humanized and non-humanized in everyday practices related to production of health care; relate perceptions of users about humanization with the notions of extended clinic and social participation present in the National Humanization Policy (NHP); identify difficulties and potentialities in the production of health care from the perspective of humanization. It was a qualitative approach to data collection and it was used the methodology of Network Analysis of Everyday Life (NAEL), which allowed the questioning of health practices through an interactive discussion involving participants subjected. The analysis of data through the technique of content thematic analysis was performed and the results were interpreted related the Extended Clinic references and the users participation, related with the Gift Theory discussed by Marcel Mauss. The results indicated senses humanization linked to affection, reciprocity and honesty, highlighting as essential to humanized practices the trust, bonding, listening, dialogue and accountability. Were also mentioned other elements related to the organization of health services such as access and good functioning of the health services. The difficulties and potentialities show structural deficiencies of the health system and changes in the labor process. The participation of users deconstructing and reconstructing concepts remainder humanization in the production of health care is a key factor for the sedimentation of what is proposed in the HNP. Using the privileged space of the FHE to create more active people and understanding their needs and demands, is possible path to build a participative management

Normas - o estabelecimento dos direitos humanos

Habermas entende os direitos humanos como produtos do mundo da vida; e é no interior do debate público, com a participação efetiva dos cidadãos, que deve ocorrer a produção deles como normas e princípios. A questão central abordada inicialmente no texto concerne ao status dessas normas e ao seu modo de instituição, dependente das relações de reciprocidade entre os sujeitos. Uma vez que, em sociedades complexas, apenas idealmente parece ser possível sustentar a participação de todos os sujeitos no processo de elaboração de normas, o texto procura analisar a viabilidade da concepção de Habermas. Ao considerar os elementos conceituais que orbitam essa questão, processa-se no curso do texto um deslocamento para outra, a saber, a relativa ao quanto o modo de sustentação da normatividade jurídica de um ordenamento social o determina como democrático ou não. Este é o ponto decisivo ao tratamento das normas relativas aos direitos humanos: a análise de Habermas é ideal, mas o pêndulo entre moral e empiria se mantém sempre, de modo que, pelo escopo conceitual, se não há como confirmar a identificação entre legitimidade dos direitos humanos e direitos humanos produzidos democraticamente, torna-se impossível querer negá-la.

Spectroscopic properties of Yb3+ doped PbO-Bi2O3-Ga2O3 glasses for IR laser applications

PbO-Bi2O3-Ga2O3 glasses doped with different concentrations of Yb3+ are presented. The spectroscopic properties and laser parameters are calculated and a comparison between different results obtained when calculating the Yb3+ emission cross-section with the reciprocity method and with the Fuchtbauer-Ladenburg formula is presented. The behavior of the near-infrared luminescence is described theoretically by a rate equation and compared with the experimental results. This host doped with Yb3+ is a promising material for laser action at 1019 nm, with properties similar to other known glasses used as active laser media; the emission cross-section of 1.1 x 10(-20) cm(2), the high absorption cross-section (of 2.0 x 10(-20) cm(2)) and a minimum pump intensity of 2.4 kW/cm(2) are interesting properties for short pulse generation. (C) 2005 Elsevier B.V. All rights reserved.

NOISE GENERATED BY CAVITATION IN ORIFICE-PLATES WITH SOME GASEOUS EFFECTS.

An experimental investigation of the noise generated by cavitation in turbulent shear flows produced by confined sharp-edge orifice-plates is reported. The acoustic source strength of cavitation was determined by means of reciprocity type measurements. Experimentally determined scaling parameters are applied to a model to prototype scaling formula derived from dimensional analysis. The proposed formula is checked experimentally. Comparative photographic observations of the cavitation patterns for two different values of gas content are presented. The observed sound reduction, that occurs when supersaturated conditions exist downstream the orifice-plates, is explained by the effects of gas diffusion into the cavitation bubbles, and by simple acoustic attenuation.

Fiscal Panorama of Latin America and the Caribbean 2013: tax reform and renewal of the fiscal covenant

Includes bibliography