Representações dos números racionais e a medição de segmentos: possibilidades com tecnologias informáticas

Pós-graduação em Educação Matemática - IGCE

Explorando conexões entre a matemática e a física com o uso da calculadora gráfica e do CBL

Pós-graduação em Educação Matemática - IGCE

Uso de calculadoras em aulas de matemática: o que os professores pensam

Pós-graduação em Educação Matemática - IGCE

Uso didático da calculadora no ensino fundamental: possibilidades e desafios

Pós-graduação em Educação - FFC

Aplicações da função logarítmica em sala de aula no ensino médio: uma proposta de solução de problemas pela transposição para a linguagem matemática

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Model predictive flight control systems for rotorcraft UAS

Constraints are widely present in the flight control problems: actuators saturations or flight envelope limitations are only some examples of that. The ability of Model Predictive Control (MPC) of dealing with the constraints joined with the increased computational power of modern calculators makes this approach attractive also for fast dynamics systems such as agile air vehicles. This PhD thesis presents the results, achieved at the Aerospace Engineering Department of the University of Bologna in collaboration with the Dutch National Aerospace Laboratories (NLR), concerning the development of a model predictive control system for small scale rotorcraft UAS. Several different predictive architectures have been evaluated and tested by means of simulation, as a result of this analysis the most promising one has been used to implement three different control systems: a Stability and Control Augmentation System, a trajectory tracking and a path following system. The systems have been compared with a corresponding baseline controller and showed several advantages in terms of performance, stability and robustness.

"Making Sense of Figures": Statistics, Computing and Information Technologies in Agriculture and Biology in Britain, 1920s-1960s

Throughout the twentieth century statistical methods have increasingly become part of experimental research. In particular, statistics has made quantification processes meaningful in the soft sciences, which had traditionally relied on activities such as collecting and describing diversity rather than timing variation. The thesis explores this change in relation to agriculture and biology, focusing on analysis of variance and experimental design, the statistical methods developed by the mathematician and geneticist Ronald Aylmer Fisher during the 1920s. The role that Fisher’s methods acquired as tools of scientific research, side by side with the laboratory equipment and the field practices adopted by research workers, is here investigated bottom-up, beginning with the computing instruments and the information technologies that were the tools of the trade for statisticians. Four case studies show under several perspectives the interaction of statistics, computing and information technologies, giving on the one hand an overview of the main tools – mechanical calculators, statistical tables, punched and index cards, standardised forms, digital computers – adopted in the period, and on the other pointing out how these tools complemented each other and were instrumental for the development and dissemination of analysis of variance and experimental design. The period considered is the half-century from the early 1920s to the late 1960s, the institutions investigated are Rothamsted Experimental Station and the Galton Laboratory, and the statisticians examined are Ronald Fisher and Frank Yates.

Energy harvesting from body motion using rotational micro-generation

Autonomous system applications are typically limited by the power supply operational lifetime when battery replacement is difficult or costly. A trade-off between battery size and battery life is usually calculated to determine the device capability and lifespan. As a result, energy harvesting research has gained importance as society searches for alternative energy sources for power generation. For instance, energy harvesting has been a proven alternative for powering solar-based calculators and self-winding wristwatches. Thus, the use of energy harvesting technology can make it possible to assist or replace batteries for portable, wearable, or surgically-implantable autonomous systems. Applications such as cardiac pacemakers or electrical stimulation applications can benefit from this approach since the number of surgeries for battery replacement can be reduced or eliminated. Research on energy scavenging from body motion has been investigated to evaluate the feasibility of powering wearable or implantable systems. Energy from walking has been previously extracted using generators placed on shoes, backpacks, and knee braces while producing power levels ranging from milliwatts to watts. The research presented in this paper examines the available power from walking and running at several body locations. The ankle, knee, hip, chest, wrist, elbow, upper arm, side of the head, and back of the head were the chosen target localizations. Joints were preferred since they experience the most drastic acceleration changes. For this, a motor-driven treadmill test was performed on 11 healthy individuals at several walking (1-4 mph) and running (2-5 mph) speeds. The treadmill test provided the acceleration magnitudes from the listed body locations. Power can be estimated from the treadmill evaluation since it is proportional to the acceleration and frequency of occurrence. Available power output from walking was determined to be greater than 1mW/cm³ for most body locations while being over 10mW/cm³ at the foot and ankle locations. Available power from running was found to be almost 10 times higher than that from walking. Most energy harvester topologies use linear generator approaches that are well suited to fixed-frequency vibrations with sub-millimeter amplitude oscillations. In contrast, body motion is characterized with a wide frequency spectrum and larger amplitudes. A generator prototype based on self-winding wristwatches is deemed to be appropriate for harvesting body motion since it is not limited to operate at fixed-frequencies or restricted displacements. Electromagnetic generation is typically favored because of its slightly higher power output per unit volume. Then, a nonharmonic oscillating rotational energy scavenger prototype is proposed to harness body motion. The electromagnetic generator follows the approach from small wind turbine designs that overcome the lack of a gearbox by using a larger number of coil and magnets arrangements. The device presented here is composed of a rotor with multiple-pole permanent magnets having an eccentric weight and a stator composed of stacked planar coils. The rotor oscillations induce a voltage on the planar coil due to the eccentric mass unbalance produced by body motion. A meso-scale prototype device was then built and evaluated for energy generation. The meso-scale casing and rotor were constructed on PMMA with the help of a CNC mill machine. Commercially available discrete magnets were encased in a 25mm rotor. Commercial copper-coated polyimide film was employed to manufacture the planar coils using MEMS fabrication processes. Jewel bearings were used to finalize the arrangement. The prototypes were also tested at the listed body locations. A meso-scale generator with a 2-layer coil was capable to extract up to 234 µW of power at the ankle while walking at 3mph with a 2cm³ prototype for a power density of 117 µW/cm³. This dissertation presents the analysis of available power from walking and running at different speeds and the development of an unobtrusive miniature energy harvesting generator for body motion. Power generation indicates the possibility of powering devices by extracting energy from body motion.

Investigation of the effect of using data collection technology on students' attitudes to science instruction

The purpose of this project was to investigate the effect of using of data collection technology on student attitudes towards science instruction. The study was conducted over the course of two years at Madison High School in Adrian, Michigan, primarily in college preparatory physics classes, but also in one college preparatory chemistry class and one environmental science class. A preliminary study was conducted at a Lenawee County Intermediate Schools student summer environmental science day camp. The data collection technology used was a combination of Texas Instruments TI-84 Silver Plus graphing calculators and Vernier LabPro data collection sleds with various probeware attachments, including motion sensors, pH probes and accelerometers. Students were given written procedures for most laboratory activities and were provided with data tables and analysis questions to answer about the activities. The first year of the study included a pretest and posttest measuring student attitudes towards the class they were enrolled in. Pre-test and post-test data were analyzed to determine effect size, which was found to be very small (Coe, 2002). The second year of the study focused only on a physics class and used Keller’s ARCS model for measuring student motivation based on the four aspects of motivation: Attention, Relevance, Confidence and Satisfaction (Keller, 2010). According to this model, it was found that there were two distinct groups in the class, one of which was motivated to learn and the other that was not. The data suggest that the use of data collection technology in science classes should be started early in a student’s career, possibly in early middle school or late elementary. This would build familiarity with the equipment and allow for greater exploration by the student as they progress through high school and into upper level science courses.

On the calculation of energy produced by a PV grid-connected system

This study develops a proposal of method of calculation useful to estimate the energy produced by a PV grid-connected system making use of irradiance-domain integrals and denition of statistical moment. Validation against database of real PV plants performance data shows that acceptable energy estimation can be obtained with rst to fourth statistical moments and some basic system parameters. This way, only simple calculations at the reach of pocket calculators, are enough to estimate AC energy.

Caracterización de LEDs mediante el uso y programación de espectrómetro

En la búsqueda de dispositivos cada vez más eficientes, de larga duración y bajo coste de mantenimiento en el mundo de la iluminación, aparecen los LEDs. Estos pequeños dispositivos van poco a poco sustituyendo a las bombillas tradicionales de incandescencia, tomando un papel cada vez más importante entre las fuentes de iluminación. Las primeras funciones prácticas que tuvieron estos LEDs fueron como indicadores, y sus primeros usos fueron en pantallas de calculadoras, electrodomésticos, etcétera, y más adelante, con el desarrollo de nuevos materiales, se empezaron a utilizar como dispositivos de iluminación. Ha sido en estos últimos años cuando se ha producido un salto cuantitativo gracias a la aparición de los POWER LED (LEDs de potencia) o de alto brillo, que son los que han permitido ampliar el uso de estos dispositivos como fuentes de iluminación en, por ejemplo, hogares, alumbrado público, e incluso llegando a sustituir los faros halógenos de vehículos por iluminación LED en algunos modelos. Es por ello que mientras su potencia lumínica va aumentado, su rango de utilización también lo hace. Para caracterizar estas fuentes lumínicas y otras a las que se les pueden dar diferentes usos, se desarrolla este proyecto mediante el análisis de su espectro. Para ello, además, se hará un análisis del resto de instrumentación necesaria que forma parte del proyecto. Este análisis abarca el estudio del propio espectrómetro tanto a nivel de hardware como de software, que modificaremos según los intereses del proyecto. También se estudiará la fibra óptica y el driver para controlar los dispositivos LEDs de potencia, así como los propios LEDs. Para ello se medirán las características de estos LEDs y se compararán con las facilitadas por el fabricante. ABSTRACT. Searching for more efficient, long lasting an low-maintenance devices in lighting world, LEDs appear. These small devices are gradually replacing traditional incandescent bulbs. LEDs are taking an increasingly important role between the light sources. At the begining they were only used as indicators and their first use were in screens calculators, appliances, etc., and later, with the development of new materials, were progressively used as lighting devices. Nowadays a great development has happened in LED lighting with the apparition of the POWER LED or high bright. Power LEDs are allowed to extend the use of these devices as lighting sources for example for homes, street lighting, and even coming to replace halogen headlights LED lighting in vehicles of some models. That's the reason the more their lighting power increases the more their use increases too. The aim of this project is to characterize these light sources and others that can be given different uses by analyzing its spectrum. Moreover, necessary instruments will also be analysed. This study involves both hardware and software spectrometer analysis itself by modifying its software according to the interests of the project. Furthermore, optical fiber and the driver to control LED power devices will be studied by measuring LEDs characteristics and comparing with those provided by the manufacturer.

Estudo da extração de índio a partir de telas de cristal líquido (LCD).

Ao longo dos últimos anos, o crescimento ao acesso a esse tipo de tecnologia pelos consumidores brasileiros tem intensificado o aumento no interesse ambiental e econômico dos LCDs. Os displays de cristal líquido são utilizados em televisores, calculadoras, telefones celulares, computadores (portáteis e tablets), vídeo games entre outros equipamentos eletrônicos. O avanço tecnológico neste campo tem tornado estes aparelhos obsoletos cada vez mais rápido, aumentando o volume de resíduos de LCDs a ser dispostos em aterros o que contribui para a redução da sua vida útil. Neste contexto, os LCDs provenientes de televisores de LED LCD tem se tornado uma fonte importante de resíduos de equipamentos eletroeletrônicos (REEE). Assim, torna-se essencial o desenvolvimento de métodos e processos para tratamento e reciclagem de LCDs. Deste modo, o objetivo do presente trabalho é a caracterização física e química de telas de cristal líquido provenientes de displays de televisores de LED LCDs e o estudo de uma rota hidrometalúrgica para recuperação de índio. Para tanto se utilizou técnicas de tratamento de minérios e análises físicas e químicas (separação granulométrica, perda ao fogo, visualização em lupa binocular, TGA, FRX, FT-IR) para caracterização do material e quantificação do índio antes e, após, a rota hidrometalúrgica que, por sua vez, foi realizada em reatores de bancada utilizando três agentes lixiviantes (ácido nítrico, sulfúrico e clorídrico), três temperaturas (25ºC, 40ºC e 60ºC) e quatro tempos (0,5h; 1h; 2h e 4h). Encontrou-se que a tela de cristal líquido representa cerca de 20% da massa total do display de televisores de LCD e que é composta por aproximadamente 11% em massa de polímeros e 90% de vidro + cristal líquido. Verificou-se também que há seis camadas poliméricas nas telas de cristal líquido, onde: um conjunto com 3 polímeros compõe o analisador e o polarizador, sendo que o polímero da primeira e da terceira camada de cada conjunto é triacetato de celulose e corresponde a 64% da massa de polímeros das telas. Já o polímero da segunda camada é polivinilalcool e representa 36% da massa de polímeros. Os melhores resultados obtidos nos processos de lixiviação foram com o ácido sulfúrico, nas condições de 60°C por 4h, relação sólido-líquido 1/5. Nessas condições, foi extraído em torno de 61% do índio contido tela de LCD.

Handheld calculator algorithms for coastal engineering : report 3 /

"Prepared for Office, Chief of Engineers, U.S. Army."

Handheld calculator algorithms for coastal engineering.

Report 1 of this report is issued as Coastal Engineering Research Center, Coastal engineering technical aid no. 82-1; Report 2 is issued as Coastal engineering technical aid no. 82-4.

BURSTCALC : a BURST CALCulator /

"Contract no. N000-14-75-C-0982."