Uma fundamentação para sinais e sistemas intervalares

In this work we use Interval Mathematics to establish interval counterparts for the main tools used in digital signal processing. More specifically, the approach developed here is oriented to signals, systems, sampling, quantization, coding and Fourier transforms. A detailed study for some interval arithmetics which handle with complex numbers is provided; they are: complex interval arithmetic (or rectangular), circular complex arithmetic, and interval arithmetic for polar sectors. This lead us to investigate some properties that are relevant for the development of a theory of interval digital signal processing. It is shown that the sets IR and R(C) endowed with any correct arithmetic is not an algebraic field, meaning that those sets do not behave like real and complex numbers. An alternative to the notion of interval complex width is also provided and the Kulisch- Miranker order is used in order to write complex numbers in the interval form enabling operations on endpoints. The use of interval signals and systems is possible thanks to the representation of complex values into floating point systems. That is, if a number x 2 R is not representable in a floating point system F then it is mapped to an interval [x;x], such that x is the largest number in F which is smaller than x and x is the smallest one in F which is greater than x. This interval representation is the starting point for definitions like interval signals and systems which take real or complex values. It provides the extension for notions like: causality, stability, time invariance, homogeneity, additivity and linearity to interval systems. The process of quantization is extended to its interval counterpart. Thereafter the interval versions for: quantization levels, quantization error and encoded signal are provided. It is shown that the interval levels of quantization represent complex quantization levels and the classical quantization error ranges over the interval quantization error. An estimation for the interval quantization error and an interval version for Z-transform (and hence Fourier transform) is provided. Finally, the results of an Matlab implementation is given

Desenvolvimento de um sistema para aplicação dos conceitos da tecnologia cad3d-bim na indústria moveleira

In this work was developed an information system to apply the concepts of CAD3D-BIM technology for the design activities of the furniture industry. The development of this system was based in an architecture comprised of two modules: a web interface to management the metadata of models from furniture's library and the combination of three-dimensional CAD software with a specific plugin to access the information from this model. To develop this system was also used a Data Base Management System (DBMS) designed to storage the information from models in a hierarchical way, based on concepts of Group Technology (GT). The centralization of information in a single database allows the automatic availability of any changes to all participants involved in a particular project when it‟s happens. Each module from system has its own connection to this database. Finally was developed a prototype from a 3D virtual environment to help create Virtual Reality projects in the web. A study from available technologies to create 3D web applications for execution in websites was done to support this development. The interconnection between modules and the database developed allowed the assembly of a system architecture to support the construction and exhibition of projects of the furniture industry in accordance with the concepts proposed by BIM (Building Information Modeling), using as object of study the furniture industry of state of Rio Grande do Norte

Números complexos: uma proposta de mudança metodológica para uma aprendizagem significativa no ensino médio

This work presents a proposal of a methodological change to the teaching and learning of the complex numbers in the Secondary education. It is based on the inquiries and difficulties of students detected in the classrooms about the teaching of complex numbers and a questioning of the context of the mathematics teaching - that is the reason of the inquiry of this dissertation. In the searching for an efficient learning and placing the work as a research, it is presented a historical reflection of the evolution of the concept of complex numbers pointing out their more relevant focuses, such as: symbolic, numeric, geometrical and algebraic ones. Then, it shows the description of the ways of the research based on the methodology of the didactic engineering. This one is developed from the utilization of its four stages, where in the preliminary analysis stage, two data surveys are presented: the first one is concerning with the way of presenting the contents of the complex numbers in math textbooks, and the second one is concerning to the interview carried out with High school teachers who work with complex numbers in the practice of their professions. At first, in the analysis stage, it is presented the prepared and organized material to be used in the following stage. In the experimentation one, it is presented the carrying out process that was made with the second year High school students in the Centro Federal de Educação tecnológica do Rio Grande do Norte CEFET-RN. At the end, it presents, in the subsequent and validation stages, the revelation of the obtained results from the observations made in classrooms in the carrying out of the didactic sequence, the students talking and the data collection

Uma análise dos questionamentos dos alunos nas aulas de números complexos

This work presents a contribution for the studies reffering to the use of the History of Mathematics focusing on the improvement of the Teaching and Learning Process. It considers that the History of Matematics, as a way of giving meaning to the discipline and improve the quality of the Teaching and Learning Process. This research focuses on the questions of the students, classified in three categories of whys: the chronological, the logical and the pedagogical ones. Therefore, it is investigated the teaching of the Complex Numbers, from the questions of the students of the Centro Federal de Educação Tecnológica do Rio Grande do Norte (Educational Institution of Professional and Technology Education from Rio Grande do Norte). The work has the following goals: To classify and to analyse the questions of the students about the Complex Numbers in the classes of second grade of the High School, and to collate with the pointed categories used by Jones; To disccus what are the possible guidings that teachers of Mathematics can give to these questions; To present the resources needed to give support to the teacher in all things involving the History of Mathematics. Finally, to present a bibliographic research, trying to reveal supporting material to the teacher, with contents that articulate the Teaching of Mathematics with the History of Mathematics. It was found that the questionings of the pupils reffers more to the pedagogical whys, and the didatic books little contemplate other aspects of the history and little say about the sprouting and the evolution of methods of calculations used by us as well

Elaboração e aplicação de uma estratégia de ensino sobre os conceitos de calor e de temperatura

This piece of work has investigated the alternative conceptions shown by students of secondary school, concerned to the concepts of warmth and temperature, aiming the elaboration and application of a learning strategy as of the diagnose risen from the conceptions present in students. The learning strategy was built up by a sequence of activities that involve History of Science and experiments, put in a course that had as a base the proposal of the Group of Redevelopment of Physics Teaching (GREF). We have used as the conductor wire of our research the development of thermo dynamics since the development of the first thermo machines, passing by the Industrial Revolution and the evolution of concepts of warmth and temperature. The learning strategy was applied to a group of second grade of secondary school in a public school in Mossoró (RN). By doing these activities we tried to become the concepts, which are part of thermo dynamics, more meaningful to the students. We have estimated that the application of the strategy has represented some profits to the students of the group, concerning to learning of laws and concepts of thermo dynamics (specifically the concepts of warmth and temperature), as well as what it is referred to the overcoming of its initial conceptions

O uso pedagógico de uma seqüência didática para a aquisição de algumas idéias relacionadas ao conceito de números complexos

The aim of the present work is to contribute to the teaching-learning process in Mathematics through an alternative which tries to motivate the student so that he/she will learn the basic concepts of Complex Numbers and realize that they are not pointless. Therefore, this work s general objective is to construct a didactic sequence which contains structured activities that intends to build up, in each student s thought, the concept of Complex Numbers. The didactic sequence is initially based on a review of the main historical aspects which begot the construction of those numbers. Based on these aspects, and the theories of Richard Skemp, was elaborated a sequence of structured activities linked with Maths history, having the solution of quadratic equations as a main starting point. This should make learning more accessible, because this concept permeates the students previous work and, thus, they should be more familiar with it. The methodological intervention began with the application of that sequence of activities with grade students in public schools who did not yet know the concept of Complex Numbers. It was performed in three phases: a draft study, a draft study II and the final study. Each phase was applied in a different institution, where the classes were randomly divided into groups and each group would discuss and write down the concepts they had developed about Complex Numbers. We also use of another instrument of analysis which consisted of a recorded interview of a semi-structured type, trying to find out the ways the students thought in order to construct their own concepts, i.e. the solutions of the previous activity. Their ideas about Complex Numbers were categorized according to their similarities and then analyzed. The results of the analysis show that the concepts constructed by the students were pertinent and that they complemented each other this supports the conclusion that the use of structured activities is an efficient alternative for the teaching of mathematics

Elaboração de uma sequência didática sobre os conceitos geométricos preliminares ao estudo da trigonometria

This study is qualitative, including literature search and preparation of teaching materials. Your goal is to report the study of geometric problems of character presented in the application of trigonometry and work on the preparation of detailed activities that help in overcoming these difficulties. For this, we read some papers on teaching and learning of trigonometry in order to identify the difficulties encountered during their journey. Then separate the geometric difficulties of character and prepare a list of geometric content and procedures associated with them. Thus, we can organize a notebook with activities that would address most of these concepts. Finally we present the specification of activities called Activity on introductory concepts to the study of trigonometry

Dificuldades de aprendizagem sobre conceitos de genética no ensino fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Acurácia e precisão: revendo os conceitos de forma acurada

Accuracy concepts that involve systematic and random effects and precision, that involves only random ones, are reviewed in this paper. An objective discussion is presented based on the definitions that appear in the literature, followed by examples that may be enough to clarify some concepts and allow the extension for other applications. The discussion presented aims at raising eventual inconsistencies in the interpretations so as to provide better possibilities of use for those involved with this topic, which is fundamentally important in the quality analysis of cartographic, geodetic and remote sensing or photogrammetric products.

A escrita do texto acadêmico na graduação: modos de utilização de conceitos teóricos de uma área de conhecimento

In this study we have developed a discussion about academic text production in the undergraduate course of Literature and Languages. Specifically, we are going to analyze the monographic text writing in order to verify the meaning effects created from the ways of showing other s discourses that constitute a written production. As a means to do that, we are going to answer the following question: How does a young researcher make use of a theory in order to be part of a particular scientific community? We aim to: 1) analyze the linguistic resources, like quotations and signs of cohesion that demonstrate the other s voice presence in academic writing; 2) observe the meaning effects produced through the ways that the one who writes shows the other s voice in the written text. Firstly, we have selected 23 (twentythree) monographs produced in the last five years by students from a Literature and Languages undergraduate course in a determined public university. However, in this study, we have analyzed just 02 (two) different monographic texts. To develop such an investigation, we have inquired Kuhn s concept of science, which shows the existence of different meanings of science production in the course of the centuries. It allows us to define academic writing as science production that develops and contributes to knowledge production. With the purpose of restricting the meaning of writing conception, we have relied on Coracini, who assumes that all writing production is the registration of the self, in other words, writing comes from the subject s intervention, it is to say that only an imposition of the self guarantees the subject as author of what he writes. We have as theoretical basis the following concepts: 1-) Authier-Revus s enunciative heterogeneity, that allowed us to analyze the written marks of the other in the monographic writing; 2-) Pêcheux s reformulation-paraphrase and Orlandi s polysemy and paraphrase, concepts that present notions of productivity and creativity as ways of meaning production, and allows us to observe how the process of language production in academic writing is established; 3-) Rossi-Landi s concept of exchange-value and use-value, which consider language as a linguistic work, allowing us to verify the differences between use and social functionality in a determined theory; and 4-) Possenti s notion of authorship indicia, with which we have identified attitudes that make the one who writes author of his own text. We have verified that writing characterized for repetition and reproduction may develop a meaning effect that constructs the idea that writing production promotes an author, a concept or a theory. We have also realized that a written text that restricts itself to reproduce other authors discourses and does not articulate a theory with data analysis or with work methodology, when evaluated is approved and legitimates itself as scientific production. That demonstrates the existence of academic productions that do not develop any functionality of the employed theory. The text works as a means to promote its theoretical concepts, and theory. It is to say that the theoretical foundantion, which usually is a way to argue and sustain scientific production, does not have any function. Thus, we consider that the way someone shows the other s discourse in academic writing may work as a way to underline what the other asserts to the detriment of the researcher s words. This fact allows us to comprehend that a way of writing may evidence a meaning effect of the author s, theory s or theoretical concepts promotion

Modalização autonímica: um estudo de utilização e apropriação do discurso sobre os conceitos de variação e de mudança na escrita de dissertação de mestrado de 1970 - 2011

Universidade Federal do Rio Grande do Norte

Gestão da qualidade total: introdução dos conceitos e a sua utilização em um curso para abordar o comportamento individual do aluno/profissional/cidadão

A introdução do assunto qualidade, segundo as necessidades de mercado abre espaço para a discussão da qualidade como necessidade pessoal, e também para a formação do cidadão/profissional, além de introduzir assuntos específicos de administração de empresas. Dessa forma, foi oferecida uma disciplina optativa para os alunos do Instituto de Química do Campus de Araraquara, abordando o tema Qualidade e foi denominada Gestão da Qualidade por três anos seguidos. da avaliação geral do curso extraiu-se que ele deveria ser realizado sempre, que o tema é atual e relevante e contribui para a formação profissional/pessoal. Com relação ao comprometimento com o curso de graduação, cerca de metade dos alunos assume o seu comprometimento com os estudos e os restantes dizem estarem somente envolvidos. Conclui-se, portanto que o curso atingiu os seus objetivos propostos, introduziu os principais conceitos de qualidade segundo as normas da qualidade da série ISO 9000 e suscitou a discussão da formação do aluno/profissional/cidadão.

Deus, mente e mundo: sobre os conceitos de complicatio, imago e explicatio a partir do diálogo de mente de nicolau de cusa

This work deals with the way how the three themes of traditional metaphysics, namely, God, man, and the world, are rethought through the philosophical speculation of German cardinal Nicholas of Cusa (1401-1464). Due to the comprehensiveness of this subject, our dissertation had as a starting point and constant reference the book that the philosopher wrote in 1450, Idiota. De mente, the second written work that makes up the series of the Idiota (Idiotae libri), whose discussion is developed around the theme of the human mind. From the dialogue of the mind we have built our reflection on some issues and theoretical foundations presented in Idiota. De sapientia and De docta ignorantia, extending it to little more than that. According to Nicholas of Cusa, the human mind, in its creative character in the image of the divine mind, transcends the purely functional considerations commonly assigned to it, that is, those that regard its cognitive nature and epistemological role. In addition to these aspects, Cusanus understands the humana mens as a point of articulation of two other main themes of his metaphysics: God and the world. In this context, through the concepts of complicatioexplicatio and imago, as well as with the intercession between the themes of man as imago Dei and the reason of the microcosm, we present here an introduction to Cusan metaphysics

Estudo de sistemas complexos com interações de longo alcance : percolação, redes e tráfego

In this thesis we investigate physical problems which present a high degree of complexity using tools and models of Statistical Mechanics. We give a special attention to systems with long-range interactions, such as one-dimensional long-range bondpercolation, complex networks without metric and vehicular traffic. The flux in linear chain (percolation) with bond between first neighbor only happens if pc = 1, but when we consider long-range interactions , the situation is completely different, i.e., the transitions between the percolating phase and non-percolating phase happens for pc < 1. This kind of transition happens even when the system is diluted ( dilution of sites ). Some of these effects are investigated in this work, for example, the extensivity of the system, the relation between critical properties and the dilution, etc. In particular we show that the dilution does not change the universality of the system. In another work, we analyze the implications of using a power law quality distribution for vertices in the growth dynamics of a network studied by Bianconi and Barabási. It incorporates in the preferential attachment the different ability (fitness) of the nodes to compete for links. Finally, we study the vehicular traffic on road networks when it is submitted to an increasing flux of cars. In this way, we develop two models which enable the analysis of the total flux on each road as well as the flux leaving the system and the behavior of the total number of congested roads

Estudo de propriedades críticas em sistemas complexos: método de procura automática em sistemas tipo Ising e percolação de longo alcance

The new technique for automatic search of the order parameters and critical properties is applied to several well-know physical systems, testing the efficiency of such a procedure, in order to apply it for complex systems in general. The automatic-search method is combined with Monte Carlo simulations, which makes use of a given dynamical rule for the time evolution of the system. In the problems inves¬tigated, the Metropolis and Glauber dynamics produced essentially equivalent results. We present a brief introduction to critical phenomena and phase transitions. We describe the automatic-search method and discuss some previous works, where the method has been applied successfully. We apply the method for the ferromagnetic fsing model, computing the critical fron¬tiers and the magnetization exponent (3 for several geometric lattices. We also apply the method for the site-diluted ferromagnetic Ising model on a square lattice, computing its critical frontier, as well as the magnetization exponent f3 and the susceptibility exponent 7. We verify that the universality class of the system remains unchanged when the site dilution is introduced. We study the problem of long-range bond percolation in a diluted linear chain and discuss the non-extensivity questions inherent to long-range-interaction systems. Finally we present our conclusions and possible extensions of this work