Sobre a integração indefinida de funções racionais complexas: teoria e implementação de algoritmos racionais

We present indefinite integration algorithms for rational functions over subfields of the complex numbers, through an algebraic approach. We study the local algorithm of Bernoulli and rational algorithms for the class of functions in concern, namely, the algorithms of Hermite; Horowitz-Ostrogradsky; Rothstein-Trager and Lazard-Rioboo-Trager. We also study the algorithm of Rioboo for conversion of logarithms involving complex extensions into real arctangent functions, when these logarithms arise from the integration of rational functions with real coefficients. We conclude presenting pseudocodes and codes for implementation in the software Maxima concerning the algorithms studied in this work, as well as to algorithms for polynomial gcd computation; partial fraction decomposition; squarefree factorization; subresultant computation, among other side algorithms for the work. We also present the algorithm of Zeilberger-Almkvist for integration of hyperexpontential functions, as well as its pseudocode and code for Maxima. As an alternative for the algorithms of Rothstein-Trager and Lazard-Rioboo-Trager, we yet present a code for Benoulli’s algorithm for square-free denominators; and another for Czichowski’s algorithm, although this one is not studied in detail in the present work, due to the theoretical basis necessary to understand it, which is beyond this work’s scope. Several examples are provided in order to illustrate the working of the integration algorithms in this text

Estrutura crustal e mantélica da província Borborema através de funções do receptor e dispersão de ondas superficiais

The Borborema Province, located in northeastern Brazil, has a basement of Precambrian age and a tectonic framework structured at the Neoproterozoic (740-560 Ma). After separation between South America and Africa during the Mesozoic, a rift system was formed, giving rise to a number of marginal and inland basins in the Province. After continental breakup, episodes of volcanism and uplift characterized the evolution of the Province. Plateau uplift was initially related to magmatic underplating of mafic material at the base of the crust, perhaps related to the generation of young continental plugs (45-7 Ma) along the Macau-Queimadas Alignment (MQA), due to a small-scale convection at the continental edge. The goal of this study is to investigate the causes of intra-plate uplift and its relationship to MQA volcanism, by using broadband seismology and integrating our results with independent geophysical and geological studies in the Borborema Province. The investigation of the deep structure of the Province with broadband seismic data includes receiver functions and surface-wave dispersion tomography. Both the receiver functions and surface-wave dispersion tomography are methods that use teleseismic events and allow to develop estimates of crustal parameters such as crustal thickness, Vp/Vs ratio, and S-velocity structure. The seismograms used for the receiver function work were obtained from 52 stations in Northeast Brazil: 16 broadband stations from the RSISNE network (Rede Sismográfica do Nordeste do Brasil), and 21 short-period and 6 broadband stations from the INCT-ET network (Instituto Nacional de Ciência e Tecnologia – Estudos Tectônicos). These results add signifi- cantly to previous datasets collected at individual stations in the Province, which include station RCBR (GSN - Global Seismic Network), stations CAUB and AGBL (Brazilian Lithosphere Seismic Project IAG/USP), and 6 other broadband stations that were part of the Projeto Milênio - Estudos geofísicos e tectônicos na Província Borborema/CNPq. For the surface-wave vii tomography, seismograms recorde at 22 broadband stations were utilized: 16 broadband stations from the RSISNE network and 6 broadband stations from the Milênio project. The new constraints developed in this work include: (i) estimates of crustal thickness and bulk Vp/Vs ratio for each station using receiver functions; (ii) new measurements of surfassewave group velocity, which were integrated to existing measurementes from a continental-scale tomography for South America, and (iii) S-wave velocity models (1D) at various locations in the Borborema Province, developed through the simultaneous inversion of receiver functions and surface-wave dispersion velocities. The results display S-wave velocity structure down to the base of the crust that are consistent with the presence of a 5-7.5 km thick mafic layer. The mafic layer was observed only in the southern portion of the Plateau and absent in its northern portion. Another important observation is that our models divide the plateau into a region of thin crust (northern Plateau) and a region of thick crust (southern Plateau), confirming results from independent refraction surveys and receiver function analyses. Existing models of plateau uplift, nonetheless, cannot explain all the new observations. It is proposed that during the Brazilian orogeny a layer of preexisting mafic material was delaminated, as a whole or in part, from the original Brasiliano crust. Partial delamination would have happened in the southern portion of the plateau, where independent studies found evidence of a more resistant rheology. During Mesozoic rifting, thinning of the crust around the southern Plateau would have formed the marginal basins and the Sertaneja depression, which would have included the northern part of the Plateau. In the Cenozoic, uplift of the northern Plateau would have occurred, resulting in a northern Plateau without mafic material at the base of the crust and a southern Plateau with partially delaminated mafic layer.

Funções e algumas de suas propriedades

In this TCC the deal with a underlying but essential topic of Mathematics, namely: Functions. Many students start their course in the University asking: Why do we need functions? With that in mind we try to antecipate to this question and we try to show that functions come up so naturally that a name was needed to express that association which exists between the elements of two sets. After this definition was established, we present and formalize some other concepts that functions might have, as: an interview of ascendence/descendence, 1-1, etc.

"Quem sou eu?": uma (re)construção do sujeito por meio da narrativa autobiográfica - proposta didática com um olhar nas interações em sala de aula

As we are aware, the classroom is emerging as a continuous build learning experiences and environment, however, for students also it functions as a place also to be due to socializing with friends. However, not always these elements complement each other, so as harmoniously as we are aware that there are many difficulties, both in the act of learning as in interpersonal relations between them. From this, we understand that it is for the school to seek ways to contemplate such issues so that they feel inserted both with regard to this learning as well as being able to interact with themselves and with others, in a participatory manner, to live well socially. Thus, we find ourselves facing a similar situation with a 9th grade class where the students had certain limitations to have a good relationship with one another, causing thus problems in learning. On the other hand, this difficulty as affectively interact with each other, also, was increased by the difficulty that some students had to speak for themselves and to show their feelings and emotions, getting even more difficult this interaction at school. Thus, we found ourselves obliged to act immediately and need to bring about change in this picture. So it came out the idea of the application of an intervening action which started taking shapefrom a pedagogical project that we developed in other classes in previous years, this time adapted to the situation experienced by the group. The project, framed in the qualitative research and characterized from the action research approach took shape, and elected as its main objective to seek possible alternatives to develop the communicative competence of students, which is why we invest in exercise oral communication (speaking and listening) in order to promote the use of language, the interpersonal involvement facilitating thus their participation both in the classroom and in social life. To fulfill this goal, we set out to develop a didactic book whose support materialized through the autobiographical narrative (molded in writing production) and worked along a structured instructional sequence in three distinctstages that dialogued with each other. Therefore, we base our study from the socio-historical conception and dialogue proposed by Bakhtin in line with the sociodiscursivo interactionism of Bronckart and resort to other scholars as Dolz and Schneuwly, Marcuschi among others. The development of all stages of the project not only has had an immediate effect on what we proposed ourselves as also yielded us very gratifying moments reinforcing to us that the classroom environment goes far beyond the fact ministering content. And that work with orality, with views on affective interaction of these students resulted in a project, so to speak, exciting.

O figurino na narrativa dos filmes de Guel Arraes: O Auto da Compadecida (2000) e O Bem Amado (2010)

This research focuses on the course of Guel Arraes, moviemaker, and picks two movies for analysis: O Auto da Compadecida (2000) and O Bem Amado (2010), as well as their costumes. The focus on the costume is based on Semiology and aims to decode the meanings that stem out of the clothes. Three of the movies characters will have their costumes analyzed based on Roland Barthes’ theory, mainly considering semiology elements (language and speech), (significant and meaning) and (system and syntagma). The influence of the Armorial movement into the movie O Auto da Compadecida and the Kitsch aesthetic in O Bem Amado deserve consideration, aside from the study on costumes function within narrative, supported by Roland Barthes’ structural analysis of the narrative. We sought to highlight the balance between characters’ lines and the image of the costumes in the movies. Adding to the study on how costumes strongly accounts to narrative, we observed characteristic traits of director and scriptwriter Guel Arraes present in his works, which are the northeastern man identity, a presentation of the Northeast and popular comedy. We believe that his choices when creating and his life influences are not separate from one another. Our research was movie-appraisal centered and had a thorough investigation all over language. The main considerations are supported by the following theories: Barthes (2007), Figueirôa and Fechine (2008), Moles (2001), Stuart Hall (2005) and Mikhail Bakhtin (2013).

Efeitos de um programa de treino cognitivo e das técnicas de higiene do sono para as funções executivas e para a qualidade de sono em idosos saudáveis

The aging process causes changes in the elderly’s sleep/awake standard impairing their cognitive abilities, particularly executive functioning, which already suffers loss by aging. The literature suggests that executive function and preserved sleep quality are key to maintaining good quality of life and independence of older people, requiring interventions to minimize the impact of losses incurred by the aging process. This study evaluated the effect of a cognitive training program and sleep hygiene techniques for executive functions and sleep quality in healthy older people. The participants were 41 healthy older adults, of both sexes, who were randomly divided into four groups: control group [GC], cognitive training group [GTC], sleep hygiene group [GHS] and training group + hygiene [GTH]. The research was developed in three stages: 1st - initial assessment of cognition and sleep; 2nd - specific intervention to each group; 3rd - post-intervention revaluation. The results showed that GTC had significant improvements in cognitive tasks flexibility, planning, verbal fluency and some aspects of episodic memory, besides gains in sleep quality and decrease on daytime hypersomnolence. The GHS improved sleep quality and daytime sleepiness as well and had significant improvements in insights capacity, planning, attention and in all evaluated aspects of episodic memory. The GTH had significant gains in cognitive flexibility, problem solving, verbal fluency, attention and episodic memory. The CG showed significant worsening in excessive daytime sleepiness in capacity planning. Thus, we conclude that cognitive training interventions and sleep hygiene strategies are useful in improving cognitive performance and quality of healthy elderly sleep.

Uso de correntropia na generalização de funções cicloestacionárias e aplicações para a extração de características de sinais modulados

Information extraction is a frequent and relevant problem in digital signal processing. In the past few years, different methods have been utilized for the parameterization of signals and the achievement of efficient descriptors. When the signals possess statistical cyclostationary properties, the Cyclic Autocorrelation Function (CAF) and the Spectral Cyclic Density (SCD) can be used to extract second-order cyclostationary information. However, second-order cyclostationary information is poor in nongaussian signals, as the cyclostationary analysis in this case should comprise higher-order statistical information. This paper proposes a new mathematical tool for the higher-order cyclostationary analysis based on the correntropy function. Specifically, the cyclostationary analysis is revisited focusing on the information theory, while the Cyclic Correntropy Function (CCF) and Cyclic Correntropy Spectral Density (CCSD) are also defined. Besides, it is analytically proven that the CCF contains information regarding second- and higher-order cyclostationary moments, being a generalization of the CAF. The performance of the aforementioned new functions in the extraction of higher-order cyclostationary characteristics is analyzed in a wireless communication system where nongaussian noise exists.

Narrativa transmídia e a expansão do universo ficcional: os princípios e as estratégias de transmidiação da telenovela Cheias de Charme

This research analyzes the transmedia narrative television series Cheias de Charme, understood as a fictional multiplatform world, composed of several pieces distributed in different media, and into the context of media convergence. With a view to its expansion in various media controlled by production, we investigated how the principles (Jenkins 2008, 2009a, 2009b) and the strategies of expansion and spread (Fechine et al., 2013) were appropriate for fiction. To do this, literature reviews were conducted about transmidiation processes and the specifics of transmedia narrative, in order to identify possible areas of action and forms of engagement with the public. In addition, he reflected on reconfigurations of the soap opera genre in the era of participatory culture. For a better understanding of the dissertation, the observations were divided into four distinct chapters, taking as a guide and starting point the inclusion of the soap opera in the internet environment. With the aid of a descriptive research with a view to the application of the Case Study procedure in the light of Gil contributions (2010), it is believed that the proposed objectives were achieved. Finally, it was concluded that Cheias de Charme, aired by TV Globo in 2012, in time of 19h, we used creative and planned actions that have worked effectively in developing a transmedia narrative.

Narrativa transmídia e a expansão do universo ficcional: os princípios e as estratégias de transmidiação da telenovela Cheias de Charme

This research analyzes the transmedia narrative television series Cheias de Charme, understood as a fictional multiplatform world, composed of several pieces distributed in different media, and into the context of media convergence. With a view to its expansion in various media controlled by production, we investigated how the principles (Jenkins 2008, 2009a, 2009b) and the strategies of expansion and spread (Fechine et al., 2013) were appropriate for fiction. To do this, literature reviews were conducted about transmidiation processes and the specifics of transmedia narrative, in order to identify possible areas of action and forms of engagement with the public. In addition, he reflected on reconfigurations of the soap opera genre in the era of participatory culture. For a better understanding of the dissertation, the observations were divided into four distinct chapters, taking as a guide and starting point the inclusion of the soap opera in the internet environment. With the aid of a descriptive research with a view to the application of the Case Study procedure in the light of Gil contributions (2010), it is believed that the proposed objectives were achieved. Finally, it was concluded that Cheias de Charme, aired by TV Globo in 2012, in time of 19h, we used creative and planned actions that have worked effectively in developing a transmedia narrative.