Equações de primeiro grau

Trata-se da revisão de tópicos de matemática elementar do ensino fundamental com visão do ensino superior. Na subunidade 3 são abordados conceitos de cálculo algébrico, conjunto universo e conjunto solução de uma equação, equações do primeiro grau e inequações do primeiro grau com resolução de problemas. A subunidade 4 engloba a definição dos conceitos de monômios ou termos algébricos e polinômios e suas propriedades. Como complemento a teoria abordada apresenta exemplos de cálculo do mmc de polinômios e de equações fracionárias de primeiro grau com uma incógnita.

Equações de segundo grau

Apresenta a revisão de tópicos de matemática elementar do ensino fundamental com visão do ensino superior. Na subunidade 5 são abordados os seguintes tópicos: resolução de Equações do Segundo Grau com exemplo de cálculo, estudo das Raízes da Equação de Segundo Grau, resolução de Equações Biquadradas com exemplo de cálculo e Equações Irracionais com exemplo de cálculo.

Equações fundamentais da termodinâmica

Apresenta as equações fundamentais da termodinâmica, considerando escoamento unidirecional, onde se conhecem as propriedades cinéticas e dinâmicas do fluido. Apresenta a lei da conservação de massa, expressa pela equação da continuidade e a equação de conservação de energia. Demonstra a aplicação das equações de balanço de massa e energia para bocais, processos de estrangulamento, turbinas, compressores e ejetores. Apresenta equações de eficiência para turbinas e compressores.

Equações de diferenças e aplicações

Sistemas dinâmicos são todos os sistemas que evoluem no tempo, qualquer que seja a sua natureza, isto é, sistemas fisícos, biológicos, químicos, sociais, económicos, etc.. Esta evoluçãoo pode ser descrita (modelada) por equaçõess de diferenças, uma vez que esse tempo é muitas vezes medido em intervalos discretos. As equações de diferenças aparecem também quando se estuda métodos para a discretização de equações diferenciais. Assim, este trabalho tem por principal objectivo estudar as soluções de alguns tipos de equações de diferenças. Para isso, começa-se por introduzir o conceito de diferença e a sua relação com as equações de diferenças. Em seguida, determina-se a solução geral das todas as equações lineares de primeira ordem, bem como o estudo do seu comportamento assimptótico. Prossegue-se, desenvolvendo as principais técnicas para determinar a soluçãoo de equações de diferenças lineares de qualquer ordem. Em particular, estudam-se as equações com coeficientes constantes. Depois de se desenvolver a teoria básica dos sistemas lineares de equações de diferenças, particulariza-se aos sistemas lineares autónomos,com apenas duas variáveis dependentes, fazendo assim o estudo do comportamento das soluções no plano de fases. Por fim, utiliza-se a transformada Z como uma ferramenta que permite resolver equações de diferenças, em especial as equações de tipo convolução.

Equações algébricas

Jorge Nuno Silva

A aprendizagem das noções elementares da álgebra e das equações no 7º ano de escolaridade

Esta dissertação é fruto de um processo de reflexão sobre a minha experiência pro fissional de nove anos de serviço, como docente de matemática, bem como do interesse pela análise do processo de aprendizagem que os alunos do sétimo ano de escolaridade fazem das noções elementares da álgebra. Para realizar esta investigação, foi selecionada uma turma de sétimo ano, em que a maioria dos alunos é interessada pelo seu percurso escolar, embora, por vezes, não sejam constantes na sua prestação em sala de aula, bem como na realização do estudo correto em casa. Neste estudo, optou-se por uma metodologia de natureza qualitativa, de caráter interpretativo. O estudo das noções elementares da álgebra no sétimo ano de escolaridade é um marco de suma importância no percurso escolar dos alunos. É no sétimo ano de escolaridade que estes têm o primeiro contacto com noções elementares da álgebra. Por isso as experiências iniciais tornam-se fulcrais para uma aprendizagem significativa da álgebra. Assim, neste estudo, pretende-se estudar o impacte das várias tarefas aplicadas em sala de aula, quer individualmente, quer aos pares, ou em turma, a fim de se perceber o que, efetivamente, o aluno aprendeu das noções elementares da álgebra, mais concretamen te das equações. Com estas tarefas foi possível identificar algumas das dificuldades sentidas pelos alunos, neste ramo da matemática.

Modelagem dinâmica e simulação computacional de poços de petróleo verticais e direcionais com elevação por bombeio mecânico

LINS, Filipe C. A. et al. Modelagem dinâmica e simulação computacional de poços de petróleo verticais e direcionais com elevação por bombeio mecânico. In: CONGRESSO BRASILEIRO DE PESQUISA E DESENVOLVIMENTO EM PETRÓLEO E GÁS, 5. 2009, Fortaleza, CE. Anais... Fortaleza: CBPDPetro, 2009.

Algorítmo de mapeamento usando modelagem probabilística

SOUZA, Anderson A.S. ; MEDEIROS, Adelardo A. D. ; GONÇALVES, Luiz Marcos G. . Algorítmo de mapeamento usando modelagem probabilística. In: SIMPOSIO BRASILEIRO DE AUTOMAÇÃO INTELIGENTE, 2007, Natal. Anais... Natal, 2007.

Análises Estruturais e atividades biológicas de exopolissacarídeo extraído do fungo comestível pleurotus Sajor-Caju e de seu derivado sulfatado quimicamente.

The exopolysaccharides are extracellular compounds produced by some species of fungi and bacteria. It is suggested that these molecules, even when in the form of complex polysaccharide-peptide, are the main bioactive molecules of many fungus. Some of the biological activities displayed by these compounds can be accentuated and others may arise when you add chemically polar or nonpolar groups to polysaccharides. The fruiting body of Pleurotus sajor-caju produces a heteropolysaccharide with antineoplastic and antimicrobial activity, but other biological activities of this polymer have not been evaluated. In this work the exopolysaccharide of Pleurotus sajor-caju was sulfated chemically and structurally characterized. We also evaluated the antiproliferative, antioxidant and anticoagulant activities from native exopolysaccharide (PN) and its sulfated derivated (PS). Polyacrylamide gel electrophoresis, infrared spectroscopy and nuclear magnetic resonance (¹³C) proved successful in sulfation of PN to obtain PS. Analysis by gas chromatography-mass spectroscopy showed that PN and PS are composed of mannose, galactose, 3-O-methyl-galactose and glucose in proportion percentage of 44,9:16,3:19,8:19 and 49, 7:14,4:17,7:18,2, respectively. The percentage of sulfate found in PS was 22.5%. Antioxidants assays revealed that the sulfation procedure affects differently the activities of exopolysaccharides, while the total antioxidant capacity, the scavenging activity of superoxide radical and ferric chelating were not affected by sulfation, on the other hand the chemical modification of PN enhanced the scavenging activity of hydroxyl radical and reducing power. PS also showed anticoagulant activity in a dose-dependent manner and clotting time was 3.0 times higher than the baseline value in APTT at 2 mg/mL. The exopolysaccharide not presented antiproliferative activity against HeLa tumor cells, but PS affects the cellular proliferation in a time-dependent manner. After 72 h, the inhibition rate of PS (2.0 mg/mL) on HeLa cells was about 60%. The results showed that PN sulfation increase some of their activities.

Aspectos estruturais, farmacológicos e biológicos de fucanas da alga marrom sargassum vulgare

The present study examines the chemical composition and their effects on free radicals, inflammation, angiogenesis, coagulation, VEGF effects and cellular proliferation of a polysaccharides from alga Sargassum vulgare. The sulfated polysaccharide was extracted from brown seaweed by proteolysis with enzymes maxataze. The presence of proteins and sugars were observed in crude polysaccharides. Fractionation of this crude extract was made with growing concentration of acetone (0.3-1.5 v) and produced four groups of polysaccharides. Anionic polysaccharides from brown seaweed Sargassum vulgare, SV1and PSV1 were fractionated (SV1) and purified (PSV1), and displayed with high total sugars and sulfate content and very low level of protein. This fucan SV1 contains low levels of protein and high carbohydrate and sulfate content. This polysaccharides prolonged activated partial thromboplastin time (aPTT) at 50 μg (>240 s). SV1 was found to have no effect on prothrombin time (PT), corresponding to the extrinsic pathway of coagulation. SV1 exhibits high antithrombotic action in vivo, with a concentration ten times higher than heparin. Polysaccharides from S. vulgare promoted direct inhibition enzymatic activity of thrombin and stimulated enzymatic activity of FXa. SV1 showed optimal inhibitory activity of thrombin (50.2±0.28%) at a concentration of 25 μg/mL. Its antioxidant action on scavenging radicals by DPPH was (22%), indicating the polymer has no cytotoxic action (hemolytic) on ABO and Rh blood types in different erythrocyte groups and displays strong anti-inflammatory action on all concentrations tested in the carrageenan-induced paw edema model, demonstrated by reduced edema and cellular infiltration. Angiogenesis is a dynamic process of proliferation and differentiation. It requires endothelial proliferation, migration, and tube formation. In this context, endothelial cells are a preferred target for several studies and therapies. The antiangiogenic efficacy of polysaccharides was examined in vivo in the chick chorioallantoic membrane (CAM) model by using fertilized eggs. Decreases in the density of the capillaries were assessed and scored. The results showed that SV1 and PSV1 have an inhibitory effect on angiogenesis. These results were also confirmed by inhibition tubulogenesis in rabbit aorta endothelial cell (RAEC) in matrigel. These compounds were assessed in Apoptosis assay (Annexin V - FITC / PI) and cell viability by MTT assay of RAEC. These polysaccharides do not affect the viability and do not have apoptotic or necrotic action. RAEC cell when incubated with SV1 and PSV1showed inhibition of VEGF secretion, observed when compounds were incubated at 25, 50 and 100 μg/μL. The VEGF secretion with the RAEC cell line for 24 h, was more effective for PSV1 at 50 μg/μL(71.4%) than SV1 100 μg/μL (75.9%). SV1 and PSV1 had an antiproliferative action (47%) against tumor cell line HeLa. Our results indicate that these sulfated polysaccharides have antiangiogenic and antitumoral actions

Estudo do genoma do vírus causador da mionecrose infecciosa em camarões e desenvolvimento de métodos para detecção de diferentes variantes

Shrimp farming is one of the activities that contribute most to the growth of global aquaculture. However, this business has undergone significant economic losses due to the onset of viral diseases such as Infectious Myonecrosis (IMN). The IMN is already widespread throughout Northeastern Brazil and affects other countries such as Indonesia, Thailand and China. The main symptom of disease is myonecrosis, which consists of necrosis of striated muscles of the abdomen and cephalothorax of shrimp. The IMN is caused by infectious myonecrosis virus (IMNV), a non-enveloped virus which has protrusions along its capsid. The viral genome consists of a single molecule of double-stranded RNA and has two Open Reading Frames (ORFs). The ORF1 encodes the major capsid protein (MCP) and a potential RNA binding protein (RBP). ORF2 encodes a probable RNA-dependent RNA polymerase (RdRp) and classifies IMNV in Totiviridae family. Thus, the objective of this research was study the IMNV complete genome and encoded proteins in order to develop a system differentiate virus isolates based on polymorphisms presence. The phylogenetic relationship among some totivirus was investigated and showed a new group to IMNV within Totiviridae family. Two new genomes were sequenced, analyzed and compared to two other genomes already deposited in GenBank. The new genomes were more similar to each other than those already described. Conserved and variable regions of the genome were identified through similarity graphs and alignments using the four IMNV sequences. This analyze allowed mapping of polymorphic sites and revealed that the most variable region of the genome is in the first half of ORF1, which coincides with the regions that possibly encode the viral protrusion, while the most stable regions of the genome were found in conserved domains of proteins that interact with RNA. Moreover, secondary structures were predicted for all proteins using various softwares and protein structural models were calculated using threading and ab initio modeling approaches. From these analyses was possible to observe that the IMNV proteins have motifs and shapes similar to proteins of other totiviruses and new possible protein functions have been proposed. The genome and proteins study was essential for development of a PCR-based detection system able to discriminate the four IMNV isolates based on the presence of polymorphic sites

Influência do teor de calcário no comportamento físico, mecânico e microestrutural de cerâmicas estruturais

There are ores of clay in Piauí State that are used for red structural ceramics, which are naturally contaminated with calcareous vein. This is one thing that impedes its exploration in an adequate way, especially for tile production. The present work aims at verifying the influence of the calcareous contents in the technological structural ceramics area, seeking to determine a maximum permissible calcareous proportion/contents in the ceramic mass using the patterns of the local industry production. For the consecution of this paper, it was characterized the clay and calcareous material by FRX, DRX, TGA and DTA. It was also configurated by extrusion and burnt in the temperatures of 850°C, 900°C, 950°C and 1000°C pieces of the corpus with 0, 5, 10, 15 e 20% of calcareous proportion. After that, it was carried out technological samples of linear retraction, water absortion, apparent porosity, specific apparent mass and mechanic resistance. The results showed the possibility of using calcareous in the ceramic mass and in some cases the technological properties got better

Estudos e propriedades mecânicas de um novo tipo de bloco cerâmico híbrido para edificações em alvenarias estruturais

This dissertation presents a hybrid ceramic block the use of which reside in the buildings executed with walls. Initially, we conducted a survey on the requirements and / or norms prevailing in Brazil about structural ceramic blocks, making use of the experiences in other countries. This work seeks new materials and / or products in order to maintain or increase the compressive strength of the ceramic blocks, without neglecting the other properties. Then was collected materials (clay and crushed powder) and an approach on the characterization, through fluorescence, Mineralogy, vitrification curve and characterization of these materials used in the manufacture of the blocks by Ray Diffraction "X" and SEM. Subsequently it was made, numbered and measured dimensions of about 150 bodies of the test piece (hybrid ceramic blocks in small sizes) with varying percentages of 0%, 5%, 10% and 15% substitution of crushed clay powder. After sintering of the bodies of the test piece at temperatures of 900oC, 1000oC 1100oC and with a heating rate of 5oC/minuto and level of 1 hour, the samples were submitted to the tests (compressive strength and water absorption) and calculated their retractions, which were subsequently carried out the analysis of the results according to the criteria and parameters required by Brazilian legislation and standards in force

Modelagem analítica e experimental da filtração em meios porosos

Deep bed filtration occurs in several industrial and environmental processes like water filtration and soil contamination. In petroleum industry, deep bed filtration occurs near to injection wells during water injection, causing injectivity reduction. It also takes place during well drilling, sand production control, produced water disposal in aquifers, etc. The particle capture in porous media can be caused by different physical mechanisms (size exclusion, electrical forces, bridging, gravity, etc). A statistical model for filtration in porous media is proposed and analytical solutions for suspended and retained particles are derived. The model, which incorporates particle retention probability, is compared with the classical deep bed filtration model allowing a physical interpretation of the filtration coefficients. Comparison of the obtained analytical solutions for the proposed model with the classical model solutions allows concluding that the larger the particle capture probability, the larger the discrepancy between the proposed and the classical models