Cálculo Diferencial e Integral - Integrais

Neste material é apresentado primeiramente um teorema muito importante que é o teorema do valor médio, com exemplos de aplicação. Na sequência temos a definição de antiderivada ou primitiva de uma função. No segundo tópico segue a definição de integral indefinida e a apresentação de algumas integrais importantes e básicas. Uma tabela de integrais básicas também é disponibilizada. Finalizando, foram listados propriedades e exemplos de integrais.

Noções de Cálculo Diferencial e Integral para Tecnólogos

Livro completo

Cálculo Diferencial e Integral - Derivadas e Aplicações

A apresentaçãp fala inicialmente sobre a existência da derivada num ponto; fala sobre a condição de que uma função ser contínua em a não implica ter derivada em a. Apresenta também exemplos importantes de tais funções. Na sequência apresenta a caracterização das derivadas, derivadas laterais e funções importantes que possuem derivadas (funções constante, linear, polinomial, racional, trigonométrica, logarítmica e exponencial). Para dar andamento são apresentadas as notações que são usadas no cálculo diferencial para derivada de 1ª ordem e de ordem superior assim como derivada de funções elementares. As regras básicas, como derivada da soma, diferença, produto e quociente de funções deriváveis são mostradas e exemplificadas no tópico 3. Na sequência são apresentadas outras definições e propriedades importantes que são: Regra da cadeia; Fórmulas que seguem do uso da regra da cadeia; derivadas implícitas; aplicações (Cálculo das retas tangentes e normais, e dos limites indeterminados).

Propriedade de relações e Relações de equivalência

O vídeo traz os conceitos relativos às relações entre conjuntos e muito dos conceitos relacionados, como as propriedades de relações, onde as relações são definidas sobre um mesmo conjunto sendo uma parte importante do estudo de relações; e as relações de equivalência. Também apresenta os conceitos de relação reflexiva, relação irreflexiva, relação simétrica, relação antissimétrica,e relação transitiva. A relação é uma comparação entre objetos. Para verificar se uma relação R tem ou não alguma propriedade é necessária considerar o conjunto sobre o qual a relação está definida. Por fim, o vídeo traz conceitos da relação de equivalência que são relações que apresentam forte semelhança com a relação de igualdade; e traz as classes de equivalência, que são conjuntos de elementos que fazem parte do conjunto original.

Configuração interferómetrica diferencial para medição de deformação e temperatura

Este documento descreve a implementação de um sistema interferométrico diferencial para a interrogação de redes de Bragg com o objectivo da medição diferencial de deformação e temperatura. Foram implementados dois sistemas de interrogação, um utiliza uma configuração implementada através de instrumentação física, e outro, uma configuração implementada através de instrumentação virtual, desenvolvida com recurso ao ambiente LabVIEW®. O esquema diferencial permite diminuir os efeitos de sensibilidade cruzada indissociáveis a estes sistemas. Foram realizados testes de deformação e temperatura de forma a validar o funcionamento do sistema virtual. Em ambos os casos, os resultados foram próximos dos obtidos com o sistema convencional, verificando-se que a instrumentação virtual é uma forma de aproveitar as vantagens que este esquema de interrogação apresenta: grande sensibilidade e elevada gama dinâmica, e permite reduzir uma de suas desvantagens, o elevado custo. Verificou-se ainda a viabilidade da aplicação da configuração estudada num sistema de análise térmica diferencial para identificação de compostos em amostras desconhecidas. O sistema foi demonstrado utilizando uma mistura de acetona e metanol. Do trabalho realizado nesta dissertação foi possível efectuar algumas publicações que foram submetidas em Revistas e Conferências Científicas. A primeira ao Symposium On Enabling Optical Networks and Sensors SEON - 2010, Anexo A. A segunda à 21st International Conference on Optical Sensors - OFS 2011, Anexo B. E uma terceira submetida à revista Journal of Lightwave Technology, Anexo C.

Análise proteômica de Chromobacterium violaceum: acúmulo estacionário e diferencial após exposição à luz UVC

Chromobacterium violaceum is a free-living bacillus, Gram-negative commonly found in water and sand of tropical and subtropical regions. One of its main characteristic it's the ability to produce the purple pigment named violacein, that shows countless biological activities. In 2003, the genome of this organism was totally sequenced and revealed important informations about the physiology of this bacteria. However, few post-genomics studies had been accomplished. This work evaluated the protein profile of C. violaceum cultivated in LB medium at 28ºC that allowed the identification and characterization of proteins related to a possible secretion system that wasn't identified and characterized yet in C. violaceum, to the quorum sensing system, to regulatory process of transcription and translation, stress adaptation and biotechnological potential. Moreover, the response of the bacteria to UVC radiation was evaluated. The comparison of the protein profile, analyzed through 2-D electrophoresis, of the control group versus the treatment group allowed the identification of 52 proteins that arose after stress induction. The obtained results enable the elaboration of a stress response pathway in C. violaceum generated by the UVC light. This pathway, that seems to be a general stress response, involves the expression of proteins related to cellular division, purine and pirimidine metabolism, heat chock or chaperones, energy supply, regulation of biofilm formation, transport, regulation of lytic cycle of bacteriophages, besides proteins that show undefined function. Despite the response present similarities with the classic SOS response of E. coli, we still cannot assert that C. violaceum shows a SOS-like response, mainly due to the absence of characterization of a LexA-like protein in this organism

Proteômica diferencial da Chromobacterium violaceum em resposta ao estresse oxidativo induzido por peróxido de hidrogênio

The β-proteobacterium Chromobacterium violaceum is a Gram-negative, free-living, saprophytic and opportunistic pathogen that inhabits tropical and subtropical ecosystems among them, in soil and water of the Amazon. It has great biotechnological potential, and because of this potential, its genome was completely sequenced in 2003. Genome analysis showed that this bacterium has several genes with functions related to the ability to survive under different kinds of environmental stresses. In order to understand the physiological response of C. violaceum under oxidative stress, we applied the tool of shotgun proteomics. Thus, colonies of C. violaceum ATCC 12472 were grown in the presence and absence of 8 mM H2O2 for two hours, total proteins were extracted from bacteria, subjected to SDS-PAGE, stained and hydrolysed. The tryptic peptides generated were subjected to a linear-liquid chromatography (LC) followed by mass spectrometer (LTQ-XL-Orbitrap) to obtain quantitative and qualitative data. A shotgun proteomics allows to compare directly in complex samples, differential expression of proteins and found that in C. Violaceum, 131 proteins are expressed exclusively in the control condition, 177 proteins began to be expressed under oxidative stress and 1175 proteins have expression in both conditions. The results showed that, under the condition of oxidative stress, this bacterium changes its metabolism by increasing the expression of proteins capable of combating oxidative stress and decreasing the expression of proteins related processes bacterial growth and catabolism (transcription, translation, carbon metabolism and fatty acids). A tool with of proteomics as an approach of integrative biology provided an overview of the metabolic pathways involved in the response of C. violaceum to oxidative stress, as well as significantly amplified understanding physiological response to environmental stress. Biochemical and "in silico" assays with the hypothetical ORF CV_0868 found that this is part of an operon. Phylogenetic analysis of superoxide dismutase, protein belonging to the operon also showed that the gene is duplicated in genome of C. violaceum and the second copy was acquired through a horizontal transfer event. Possibly, not only the SOD gene but also all genes comprising this operon were obtained in the same manner. It was concluded that C. violaceum has complex, efficient and versatile mechanisms in oxidative stress response

Transcriptoma diferencial entre células-tronco mesenquimais humanas jovens e senescentes

Human mesenchymal stem cells (MSC) are powerful sources for cell therapy in regenerative medicine. The long time cultivation can result in replicative senescence or can be related to the emergence of chromosomal alterations responsible for the acquisition of tumorigenesis features in vitro. In this study, for the first time, the expression profile of MSC with a paracentric chromosomal inversion (MSC/inv) was compared to normal karyotype (MSC/n) in early and late passages. Furthermore, we compared the transcriptome of each MSC in early passages with late passages. MSC used in this study were obtained from the umbilical vein of three donors, two MSC/n and one MSC/inv. After their cryopreservation, they have been expanded in vitro until reached senescence. Total RNA was extracted using the RNeasy mini kit (Qiagen) and marked with the GeneChip ® 3 IVT Express Kit (Affymetrix Inc.). Subsequently, the fragmented aRNA was hybridized on the microarranjo Affymetrix Human Genome U133 Plus 2.0 arrays (Affymetrix Inc.). The statistical analysis of differential gene expression was performed between groups MSC by the Partek Genomic Suite software, version 6.4 (Partek Inc.). Was considered statistically significant differences in expression to p-value Bonferroni correction ˂.01. Only signals with fold change ˃ 3.0 were included in the list of differentially expressed. Differences in gene expression data obtained from microarrays were confirmed by Real Time RT-PCR. For the interpretation of biological expression data were used: IPA (Ingenuity Systems) for analysis enrichment functions, the STRING 9.0 for construction of network interactions; Cytoscape 2.8 to the network visualization and analysis bottlenecks with the aid of the GraphPad Prism 5.0 software. BiNGO Cytoscape pluggin was used to access overrepresentation of Gene Ontology categories in Biological Networks. The comparison between senescent and young at each group of MSC has shown that there is a difference in the expression parttern, being higher in the senescent MSC/inv group. The results also showed difference in expression profiles between the MSC/inv versus MSC/n, being greater when they are senescent. New networks were identified for genes related to the response of two of MSC over cultivation time. Were also identified genes that can coordinate functional categories over represented at networks, such as CXCL12, SFRP1, xvi EGF, SPP1, MMP1 e THBS1. The biological interpretation of these data suggests that the population of MSC/inv has different constitutional characteristics, related to their potential for differentiation, proliferation and response to stimuli, responsible for a distinct process of replicative senescence in MSC/inv compared to MSC/n. The genes identified in this study are candidates for biomarkers of cellular senescence in MSC, but their functional relevance in this process should be evaluated in additional in vitro and/or in vivo assays

Estudo da síntese e propriedade magnética de ferritas de manganês/cobalto dopadas com níquel

For the chemical method of synthesis of co-precipitation were produced ferrite powders manganese-cobalt equal stoichiometric formula Mn (1-x) Co (x) Fe2O4, for 0 < x < 1, first reagent element using as the hydroxide ammonium and second time using sodium hydroxide. The obtained powders were calcined at 400 ° C, 650 ° C, 900 ° C and 1150 ° C in a conventional oven type furnace with an air atmosphere for a period of 240 minutes. Other samples were calcined at a temperature of 900 ° C in a controlled atmosphere of argon, to evaluate the possible influence of the atmosphere on the final results the structure and morphology. The samples were also calcined in a microwave oven at 400 ° C and 650 ° C for a period of 45 minutes possible to evaluate the performance of this type of heat treatment furnace. It was successfully tested the ability of this group include isomorphic ferrite with the inclusion of nickel cations in order to evaluate the occurrence of disorder in the crystalline structures and their changes in magnetic characteristics.To identify the structural, morphological, chemical composition and proportions, as well as their magnetic characteristics were performed characterization tests of X-ray diffraction (XRD), scanning electron microscopy (SEM), transmission electron microscopy (TEM), energy dispersive spectroscopy (EDX), thermogravimetric (TG), vibrating sample magnetometry (MAV) and Mössbauer spectroscopy. These tests revealed the occurrence of distortion in the crystal lattice, changes in magnetic response, occurrence of nanosized particles and superparamagnetism

Propriedade fotoluminescente da ZrO2: Tb+3, Eu+3, Tm+3 obtida pelo método de polimerização de complexos

Recent studies are investigating a new class of inorganic materials which arise as a promising option for high performance applications in the field of photoluminescence. Highlight for rare earth (TR +3 ) doped, which have a high luminous efficiency, long decay time and being able to emit radiation in the visible range, specific to each element. In this study, we synthesized ZrO2: Tb +3 , Eu +3 , Tm +3 nanoparticles complex polymerization method (CPM). We investigated the influences caused by the heat treatment temperature and the content of dopants in zirconia photoluminescent behavior. The particles were calcined at temperature of 400, 500 and 600 ° C for two hours and ranged in concentration of dopants 1, 2, 4 and 8 mol% TR +3 . The samples were characterized by thermal analysis, X-ray diffraction, photoluminescence of measurements and uv-visible of spectroscopies. The results of X-ray diffraction confirmed the formation of the tetragonal and cubic phases in accordance with the content of dopants. The photoluminescence spectra show emission in the region corresponding simultaneous to blue (450 nm), green (550 nm) and red (615 nm). According to the results, ZrO2 particles co-doped with rare earth ions is a promising material white emission with a potential application in the field of photoluminescence

Influência da laparoscopia e da laparotomia na gasometria, leucometria diferencial e citocinas em modelo de sepse abdominal em ratos

Laparoscopic surgery is associated with reduced surgical trauma, and less acute phase response, as compared with open surgery. Cytokines are important regulators of the biological response to surgical and anesthetic stress. The aim of this study was to determine if CO2 pneumoperitoneum would change cytokine expression, gas parameters and leukocyte count in septic rats. Methods: Wistar rats were randomly assigned to five groups: control (anesthesia only), laparotomy, CO2 pneumoperitoneum, cecum ligation and puncture by laparotomy, and laparoscopic cecum ligation and puncture. After 30 min of the procedures, arterial blood samples were obtained to determine leukocytes subpopulations by hemocytometer. TNFα, IL-1β, IL-6 were determined in intraperitoneal fluid (by ELISA). Gas parameters were measured on arterial blood, intraperitoneal and subperitoneal exsudates. Results: Peritoneal TNFα, IL-1β and IL-6 concentrations were lower in pneumoperitoneum rats than in all other groups (p<0.05). TNFα, IL-1β and IL-6 expression was lower in the laparoscopic than in laparotomic sepsis (p<0.05). Rats from laparoscopic cecum ligation and puncture group developed significant hypercarbic acidosis in blood and subperitoneal fluid when compared to open procedure group. Total white blood cells and lymphocytes were significantly lower in laparoscopic cecum ligation and puncture rats than in the laparotomic (p<0.01). Nevertheless, the laparotomic cecum ligation rats had a significant increase in blood neutrophils and eosinophils when compared with controls (p<0.05). Conclusions: This study demonstrates that the CO2 pneumoperitoneum reduced the inflammatory and immune response in an animal model of peritonitis with respect to intraperitoneal cytokines, white blood cell count and clinical correlates of sepsis. The pneumoperitoneum produced hypercarbic acidosis in septic animals

A Servidão Administrativa e o Estado Regulador: Compatibilidade com o Princípio Constitucional da Legalidade e a Limitação ao Direito Real de Propriedade

The economic changes occurred in the 90s, with the restructuring and privatization of various sectors of the economy have led to a redefinition of the State role, assuming a position of regulator and supervisor of public services in place to direct its role as straight intervenor. It is through the regulatory agencies, autarchies with special legal personality under public law, that the Regulator State will act. In this context, the first objective of this research is to analyze the legality of easements imposed by entities of the Direct Administration and Regulatory Agencies, whose execution is delegated to legal persons of private law, being those public service companies or mixed-economy societies. This examination in question the limits of servitude as a restrictive institute of property rights, observing the principles of function, supremacy of the public interests over the private ones, legality and the separation of powers. Defend the property rights like a fundamental right and your insurance as determining factor of economic development and social justice. Use the procedure in use will be the historiccomparative procedure, in order to demonstrate the legality of the public act as a maximum attempt to preserve the balance between the expansion of public services in various sectors of the economy, and the preservation of property rights, through regulation