In this paper we are studying cryptography’s evolution throughout history; analyzing the difference between symmetric and asymmetric cryptographies; enunciating definitions and theorems about binary relations, group theories, primitive roots and discrete logarithms; understanding the procedure of Diffie-Hellman’s key change protocol. In the last part in this work, we are proposing three activities to be applied...
This paper is a survey on representation of integers as sums of squares for the cases where we have the sum of two, three and four squares. The idea is to study conditions so that we can ensure the representation of numbers that are written as the sum of two and four square. The central focus is the statement of the theorem of Lagrange four squares, although we have gone a little further studying Fermat' s tech...
In this work we study the main topics about Mathematical Finance, seeking for immediate connection with our reality. We study some subjects discussed in High School in order to provide basic tools for decision making in our daily lives. We also studied an electronic tool that helps us to solve several problems that have extensive calculations.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES...
We present the concepts of Di erential and Integral Calculus needed to mathematically model some physics concepts geared to the movement. We also present physical situations that are possible to model the mathematical tools of high school, as well as suggestions for ideas mathematical content of higher education that could be posed to high school students enriching media to discuss these problems more complex p...
This paper presents an introductory study of graph theory, considering its relevance to the teaching of mathematics. Initially presents a brief history on Graph Theory. Then the rst chapter consists of some de nitions on graphs and examples, the second chapter deals with the paths, walks and cycles in a graph, highlighting the Eulerian tours and Hamiltonian cycles, also boarded a special type of graphs, trees ....
This work starts with the presentation of the concept of at gures closed polygonal area. Respecting the historical aspect, we display the method of exhaustion, proposed by Archimedes, with concentration in the areas of circular regions bounded by parabolic curves. Arriving near the modernity we introduced the concepts of limit, continuity, derivative and integrals converging on the so-called Fundamental Theorem...
Cerebrovascular Accident (CVA) is a disease characterized by an interruption of blood flow to the encephalon, which represents the leading cause of long-term disability and functional impairment in adult population. Therefore, the individual who had suffered CVA needs to access health services that offer rehabilitation assistance as they promote a better physical, functional, and mental capacity, helping the re...
This work presents an active power filter for three-phase three-wire systems without an inductor when compared to the usual structure of a shunt active power filter. For the determination and control of the references it was used the Park’s transformation, it means that all control was done in synchronous axes. The active filter of this work is in parallel configuration acting therefore as a current source and ...
This work deals with the evaluation of the communication system by radio frequency using the NRF-24L01+® transceiver to be used in monitoring of electrical systems on the concept of smart grid. The complete system consists of one or more Units Remote Data Acquisition - URDAs; multiple Smart Sensing Units - SSUs; and Supervisory Control Subsystem - SCS. The connection between URAD and SSUs may occur via wired co...
This work to characterize a thermoelectric device as a electrical power generator. For this propose, a thermoelectric cell was submit to different temperature profiles on his faces. The application of heat on the device was made through a feeded back controled structure with cascade Peltier cells, temperature sensors and current circuit drivers. The execution and the monitoring of this was made by an interface ...