Submitted by Erika Demachki (erikademachki@gmail.com) on 2017-08-09T17:26:18Z No. of bitstreams: 2 Dissertação - Viviane Damasceno Pinto - 2017.pdf: 2465936 bytes, checksum: 7652e0eddd0d7962a5578c2de28589f3 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-08-10T13:27:24Z (GMT) No. of bitstreams: 2 Dissertação - Viviane Damasceno Pinto - 2017.pdf: 2465936 bytes, checksum: 7652e0eddd0d7962a5578c2de28589f3 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2017-08-10T13:27:24Z (GMT). No. of bitstreams: 2 Dissertação - Viviane Damasceno Pinto - 2017.pdf: 2465936 bytes, checksum: 7652e0eddd0d7962a5578c2de28589f3 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2017-06-30 / Experience shows that exponentials and logarithms are two themes seen by our students as extremely complex. On the other hand, the teaching and learning of such contents are of great importance and significance, as well as being used in several areas of knowledge as a tool for solving problems. We present a proposal of teaching Exponential functions with their definitions, theorems and properties, but with an approach that aims at the applicability of the concepts acquired in solving significant problems, involving several areas of knowledge. We believe that approaching the theme with this new look will facilitate and enrich teaching and learning, often impoverished, when it occurs only through conceptualizations, theorems and operative properties. The Problem-Based Learning method guided this work and was used to guide the proposed methodology of starting the content of exponential functions, starting from simple and significant problems and, later, enabling the teacher to work with the operative properties of exponentials and logarithms as tools to resolve them. / A experiência mostra que exponenciais e logaritmos são dois temas vistos por nossos alunos como extremamente complexos. Por outro lado, o ensino e aprendizagem de tais conteúdos são de grande importância e significado, além de serem usados em diversas áreas do conhecimento como ferramenta para solução de problemas. Apresentamos uma proposta de ensino de funções Exponenciais com suas definições, teoremas e propriedades, mas com uma abordagem que visa a aplicabilidade dos conceitos adquiridos na resolução de problemas significativos, envolvendo diversas áreas do conhecimento. Acreditamos que a abordagem do tema com esse novo olhar, venha facilitar e enriquecer o ensino e aprendizagem, muitas vezes empobrecido, quando se dá somente através de conceituações, teoremas e propriedades operatórias. O método de Aprendizagem Baseada em Problemas orientou esse trabalho e foi usado para nortear a metodologia proposta de iniciar o conteúdo de funções exponenciais, partindo de problemas simples e significativos e, posteriormente, possibilitando ao professor trabalhar com as propriedades operatórias de exponenciais e logaritmos como ferramentas para resolução dos mesmos.

Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-02-22T13:59:37Z No. of bitstreams: 1 paulogiovaneaparecidolemos.pdf: 4378161 bytes, checksum: 2fc32bfa870de66c1664125db7d875e1 (MD5) / Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-02-22T14:38:10Z (GMT) No. of bitstreams: 1 paulogiovaneaparecidolemos.pdf: 4378161 bytes, checksum: 2fc32bfa870de66c1664125db7d875e1 (MD5) / Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-02-22T14:38:31Z (GMT) No. of bitstreams: 1 paulogiovaneaparecidolemos.pdf: 4378161 bytes, checksum: 2fc32bfa870de66c1664125db7d875e1 (MD5) / Made available in DSpace on 2017-02-22T14:38:31Z (GMT). No. of bitstreams: 1 paulogiovaneaparecidolemos.pdf: 4378161 bytes, checksum: 2fc32bfa870de66c1664125db7d875e1 (MD5) Previous issue date: 2013-08-15 / CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Neste trabalho apresentamos uma sequência de atividades utilizando os conceitos de alguns tipos funções: afim, logarítmica e trigonométricas. Tratando, também, a interdisciplinaridade com as disciplinas física e química. Nestas atividades serão construídas tabelas com informações sobre duas ou mais grandezas e, posteriormente, representações gráficas com o auxilio do Excel ou do Geogebra. A atividade sobre a função afim deve ser aplicada aos alunos do 9º ano do ensino fundamental ou alunos do 1º ou 3º ano do ensino médio, esta atividade visa ao aprendizado dos alunos, usando os conceitos de movimentos da física e, assim, mostrando aplicação das funções. Nesta atividade, o aluno deve construir um dispositivo pratico para coletar dados sobre posição e tempo do movimento de um móvel e este deve se aproximar do movimento retilíneo uniforme de um móvel. Com este dispositivo vamos fazer uma filmagem do movimento de um móvel, assim teremos maior facilidade para coletarmos as posições de acordo com tempo, e construir uma tabela. Com a tabela vamos usar o Excel e o Geogebra para construir o gráfico. Com a intervenção do professor de física, devemos chegar ao estudo de uma função afim ao estudo de uma reta em geometria analítica. A atividade logarítmica é sobre a aplicação do logaritmo no cálculo do pH de uma solução. Nesta atividade é acrescentado gradativamente base (HCl) a um ácido (NaOH). A verificação do pH da solução é feito com a fita de titulação e a constatação é feita a partir da função do pH que é pH = -log[H+] ou pOH = -log [OH-] → pH = 14 – pOH, com estas informações é construído uma tabela com informações sobre o volume de ácido, volume da base, o volume da solução e o pH. Com esta tabela construímos o gráfico do pH em função do volume de base usando o Excel ou Geogebra. Com esta atividade podemos também trabalhar noções intuitivas de limite quando o pH está próximo de 7 utilizando as duas fontes, a tabela e o gráfico e descobrindo até mesmo funções de correção da equação do pH. Esta atividade pode ser trabalhada com alunos do 1º ou 2º ano do ensino médio com a intervenção do professor de química quanto aos conceitos químicos aplicados nesta atividade. A atividade sobre funções trigonométricas tenta mostrar que é a função trigonométrica é melhor função para um estudo de movimentos periódicos ou qualquer estudo que envolva periodicidade. Nesta atividade vamos usar o software Tracker para coletarmos informações sobre as posições de um pêndulo simples em relação a sua projeção na horizontal e vertical de acordo com o tempo. O software Tracker é de grande ajuda nesta atividade para filmagem de múltiplas posições que é o que ocorre neste experimento. Esta atividade vem ao encontro do que propõe o PCNEM, pois se refere à função trigonométrica com a função periódica e não à parte algébrica que as identidades trigonométricas aborda. Todas as atividades estão de acordo com os propósitos do PCNEM, agem do CBC/Matemática - SEE/MG e trabalham a interdisciplinaridade entre Matemática e Física ou entre Matemática e Química, mostrando que a Matemática não se trata de uma ciência isolada como tantos alunos pensam. / On this workshop, we will show a few activities using ideas from linear function, logarithm function and trigonometric function ( this one will be associated with chemistry and physics themes) . Activities abording linear function must be applied to students from 9th year from the basic education or 1st and 3rd year from the high school students. First linear function wants to focus the main ideas of movements on physics and showing its applications on functions. On this activity , the student should build na easy way to collect informations about position and time from a movement of a mobile and this one must be the nearest possible from the uniform rectilinear motion. With this device, we are going to make a film of the movement of a mobile, so then we can build a table with all the information we need. With the table we can build graphs using programs such as Excel and Geogebra. Assisted by the physics teacher, we are supposed to make some conclusions about the study of the linear function and the straight on analytic geometry Logarithm function is used to calculate the pH of a chemistry solution. The solution will change its pH if basis(NaOH) or acid(HCl) be increased to it according to this function pH = -log[H+] ou pOH = -log [OH-] → pH = 14 – pOH, with this informations we can build a pH table in function of the volume and then a graph can be constructed using Excel or Geogebra. This activity can also work intuitive notions of limit when the pH close to 7 this through both the table and the graph and finding even functions of pH correction equation. This activity should be worked with students in the 1st or 2nd year of high school with teacher intervention chemistry as applied to chemical concepts in this activity. The trigonometric functions trys to show that it is the best function to a study of periodic movements or any study that involves periodicity. For this function we will use Tracker software to collect informations about the positions of a simple pendulum in relation to its projection in horizontal and vertical according to the time. Tracker is very helpful because it can film a lot of positions that occurs on this experience. All work activities interdisciplinarity between mathematics and physics or between mathematics and chemistry and so showing that mathematics is not just an isolated sciences as many students think.

A long-standing difficulty with rendering huge distances is depth-fighting; a visual artefact produced when two or more fragments overlap either due to coplanar geometry or insufficient depth precision. This thesis presents two novel methods, Cascaded Deferred Rendering (CDR) and Logarithmic Cascaded Deferred Rendering (LogCDR), as a solution to solve depth-fighting that is due to insufficient depth precision. This thesis also evaluates an existing method, logarithmic depth buffer, comparing it against the standard depth buffer in OpenGL, CDR and LogCDR. The most prominent solution found was logarithmic depth buffer because of performance, no overhead from frustum division and extensive culling, ease of implementation and conveniences such as easier implementation of transparency. / Ett långvarigt problem med att rendera stora scener är depth-fighting; en visuell artefakt som uppstår när två eller flera fragments överlappar, antingen för att det är ligger direkt på varandra eller för att det inte finns nog med precision i djupbuffern. Detta examensarbete presenterar två nya metoder, Cascaded Deferred Rendering (CDR) och Logarithmic Cascaded Deferred Rendering (LogCDR) som en lösning på depth-fighting som framträder när de inte finns nog med precision. Detta examensarbete utvärderar också en redan existerande metod, logaritmisk djupbuffer, och jämför den med standard djupbuffern i OpenGL, CDR samt LogCDR. Den mest lovande metoden funnen var logaritmisk djupbuffer för dess hastighet, lätthet att implementera och enklare att lägga till stöd för transparans till.

Une déformation isomonodromique d'une sphère épointée est une famille de connexions logarithmiques plates sur cette dernière ayant toutes, à conjugaison globale près, la même représentation de monodromie. Ces objets sont paramétrés par les solutions d'une certaine famille d'équations aux dérivées partielles, les systèmes de Garnier, qui sont équivalents dans le cas de la sphère à quatre trous aux équations de Painlevé VI. L'objet des travaux présentés ici est de construire de nouvelles solutions algébriques des ces systèmes dans le cas de la sphère à cinq trous. Dans une première partie, nous classifions les déformations isomonodromiques algébriques obtenues par restriction aux droites d'une connexion logarithmique plate sur le plan projectif complexe dont le lieu polaire est une courbe quintique. On obtient ainsi deux nouvelles familles de solutions algébriques du système de Garnier associé. Dans une deuxième partie, nous exploitons le fait qu'une déformation isomonodromique algébrique correspond à une orbite finie sous l'action du groupe modulaire sur la variété des caractères de la sphère à cinq trous pour obtenir de nouveaux exemples de telles orbites. Nous employons pour ce faire la convolution intermédiaire sur les représentations de groupes libres développée par Katz Enfin, nous décrivons une généralisation partielle de ce procédé au cas d'un tore complexe à deux trous. / We call isomonodromic deformation any family of logarithmic flat connections over a punctured sphere having the same monodromy representation up to global conjugacy. These objects are parametrised by the solutions of a particular family of partial differential equations called Garnier systems, which are equivalent to the Painlevé VI equations in the four punctured case. The purpose of this thesis is to construct new algebraic solutions of these systems in the five punctured case. First, we give a classification of algebraic isomonodromic deformations obtained by restricting to lines some logarithmic flat connection over the complex projective plane whose singular locus is a quintic curve. We obtain two new families of algebraic solutions of the associated Garnier system. In a second part, we use the fact that any algebraic isomonodromic deformation corresponds to a finite orbit under the mapping class group action on the character variety of the five punctured sphere to obtain new examples of such orbits. We do this by using Katz's middle convolution on representations of free groups. Finally, we give a partial generalisation of this procedure in the case of a twice punctured complex torus.

This master´s thesis on theme Modeling of the unconventional functional blocks in Pspice deals with the design procedures of electronic elements models and should to help with their create. At the beginning the thesis theoretically describes how the models are created and what possibilities for modeling the program Pspice offers. There are drawn near the individual levels of model and their properties. The second main part of thesis shows practically step by step the design procedures of models of the operational amplifier, current and voltage conveyors, OTA, CDTA, immittance inverter and converter and logarithmic amplifier. There are created the models up to 4.th level, the ideal, resistive, frequency dependent and nonlinear. The basic transmission properties, input and output impedance are modeled this way. The created models with sufficient accuracy correspond to the parameters of the commercial elements. This thesis such shows the possibilities of the program for finding of values for model components like stepping or Optimizer tool.

The main focus of this diploma thesis is productivity estimation of the company using economic indicators. The thesis is focused on evaluating data of timelines using proportional indicators and regressive analysis which estimate the trend and future development. The main point of this thesis is the analysis of results and recommendations for future improvement of the situation.

The subject of this thesis was to develop a comprehensive methodology for evaluating the plasticity of molding sand. This study was focused on four types of mixtures that are used in the foundry industry. For the evaluation of plasticity was important to provide an indicator of the deformation ability, calculation of deformation and logarithmic transformation for compression. Plasticity methodology was applied in this work only on the pressure effect. Studies of this issue can have a great influence on the production of correct forms due to the ability to withstand tension without breaking form.

No description available.

Thesis (MEng)--Stellenbosch University, 2014. / ENGLISH ABSTRACT: The RoboCup offers a research platform to advance robotics and multi-robot cooperation in dynamic environments. This project builds on work previously done to develop a research platform for multi-robot cooperation at Stellenbosch University. This thesis describes the development of an active ball handling system for a robot in the RoboCup Small Size League (SSL). This was achieved by building on the work done in the previous projects. The hardware for the kicker and dribbler mechanisms on the robot were implemented and tested to characterise their capabilities. The kicker was characterised to control the speed at which a ball is kicked and the dribbler for optimal control over a ball. More accurate movement was required and the Proportional Integral and Derivative (PID) controllers for translational and rotational movement on the robot were improved. The test results show an improvement in straight line trajectory tracking when compared to those of the previous controllers. Dribble control sensors were implemented on the robot for successful dribbling by the robot. This resulted in a significant improvement to the dribbling ability of the robot when these sensors are used. This dribbling ability was compared to the dribbling ability of the robot when no feedback was received from the sensors. Lastly a proposed curved trajectory tracking algorithm was tested by combining translational and rotational movement of the robot. This algorithm showed the capabilities of the robot to follow a curved trajectory with the improved translational and rotational controllers. / AFRIKAANSE OPSOMMING: Die RoboCup bied ’n navorsingsplatvorm om robotika en multi-robot samewerking in ’n dinamiese omgewing te bevorder. Hierdie projek bou voort op werk wat reeds gedoen is om ’n navorsingsplatvorm vir multi-robot samewerking aan die Universiteit van Stellenbosch te ontwikkel. Hierdie tesis beskryf die ontwikkeling van ’n aktiewe balhanteringsstelsel vir ’n robot in die RoboCup Klein Liga (KL). Dit is bereik deur voort te bou op die werk wat in vorige projekte gedoen is. Die hardeware vir die skopper- en dribbelmeganismes is geïmplementeer en getoets om hulle vermoëns te karakteriseer. Die skopper is gekenmerk deur die spoed waarteen ’n bal geskop word en die dribbler vir optimale beheer oor ’n bal. Meer akkurate beweging was nodig en die PID-beheerders vir translasie- en rotasiebeweging in die robot is verbeter. Die resultate van die toetse toon ’n verbetering in reguitlynbeweging in vergelyking met dié van die vorige beheerders. Dribbelbeheersensors is in die robot geïmplementeer vir suksesvolle dribbelbeweging deur die robot. Gevolglik is daar ’n aansienlike verbetering in die dribbelvermoë van die robot wanneer hierdie sensors gebruik word. Hierdie dribbelvermoë is vergelyk met die dribbelvermoë wanneer die robot geen terugvoer van die sensors ontvang nie. Laastens is ’n voorgestelde algoritme vir die robot om ’n geboë trajek te volg, getoets. Dit is bereik deur die translasie- en die rotasiebeweging van die robot te kombineer. Hierdie algoritme het die vermoë van die robot om ’n geboë baan te laat volg deur gebruik te maak van die verbeterde translasie- en rotasiebeheerders.

Logarithmic sensors are capable of capturing the wide dynamic range of intensities available in nature with minimum number of bits and post-processing required. A simple circuit able to perform logarithmic capture is one utilising a MOS device in weak inversion. However, the output of this pixel is crippled due to fixed pattern noise. Technique proposed to reduce this noise fail to produce high quality images on account of unaccounted high gain variations in the pixel. An electronic calibration technique is proposed which is capable of reducing both multiplicative as well as additive FPN. Contrast properties matching that of human eye are reported from these sensors. With reduced FPN, the pixel performance at low intensities becomes concerning. In these regions, the high leakage current of the CMOS process affects the logarithmic pixel. To reduce this current, two different techniques using a modified circuit and another with modified layout are tested. The layout technique is observed to reduce the leakage current. In addition, this layout can be used to linearise the output of logarithmic pixel in low light regions. The unique linear response at low light and logarithmic pixel at high light is further investigated. A new model based on the device physics is derived to represent this response. The fixed pattern noise profile is also investigated. An intelligent iterative scheme is proposed and verified to extract the photocurrent flowing in the pixel and correct the fixed pattern noise utilising the new model. Future research ideas leading to better designs of logarithmic pixels and post-processing of these signals are proposed at the end of the thesis.