Máximos e mínimos na geometria euclidiana: uma abordagem histórica

The goal of this work is to perform a historical approach of important results about maxima and minima, on Euclidean geometry, involving perimeters, areas and volumes. As a highlight, we can mention the Dido’s isoperimetric problem and the Papus’s problem about the wit of the bees. In this context, with a concern didactic, we tried to use, whenever possible, the geometry classical formulas to the calculus of areas. On the other hand, in the case of isoperimetric inequality the techniques of differential and integral calculus became more suitable for our purposes.

Aspectos históricos sobre a cicloide: a curva que desafia a intuição

O objetivo deste trabalho é resgatar um pouco da rica história do estudo da cicloide. Para isso, ser˜ao mostrados inicialmente os passos da sua construção, as deduç˜oes de suas equaç˜oes polares e cartesianas que, a seguir, ser˜ao utilizadas nos cálculos da área sob um arco dessa curva, da reta tangente, bem como, do comprimento desse arco. Ser˜ao reconstituídas etapas das aplicações da cicloide nos casos do pêndulo de Huygens, em que ela se comporta como isócrona (mesmo tempo) e do problema da braquistócrona (tempo mínimo) que desafiaram os grandes matemáticos dos séculos XVII e XVIII, com destaque para Huygens e os irm˜aos Jakob e Johann Bernoulli.

História do número e: gênese e aplicações

The aim of this paper is to present some fundamental aspects of the history of the number e, in particular those related to its origin, a little uncertain, and their unavoidable presence in the most diverse applications in various branches of science. We will highlight the importance of this number in compound interest problems, in the Napier’s logarithms, in the quadrature of the hyperbola, in the catenary problem and mostly in the lush Euler’s contribution to the subject.

Systematics and phylogeny of the Neotropical Pachymenes de Saussure and Santamenes Giordani Soika (Hymenoptera, Vespidae, Eumeninae)

The genera Pachymenes de Saussure and Santamenes Giordani Soika arerevised and the phylogenetic relationships among their species, based on external mor-phology and male genitalia, are presented. The cladistics analysis, using 22 terminalspecies (19 ingroup and 3 outgroup species) and 44 characters, produced a single clado-gram under implied weighting. Both genera were recovered as paraphyletic, althoughttwo major clades were formed and were well supported by the re-sampling analysis.We propose the synonymy of Pachymenes with Santamenes, and the description of twonew species: P. saussurei Grandinete n.sp. and P. riograndensis Grandinete n.sp..Newcombinations are: Pachymenes novarae (de Saussure) n.comb., P. olympicus (Zavattari)n.comb., P. peregrinus (Zavattari) n.comb. and P. santanna (de Saussure) revised combi-nation. We state the synonymy of P. obscurus orellanoides under P. obscurus consuetus,reviewing the status of the latter and raising P. consuetus to species level. Pachymenesorellanae vardyi is synonymized under P. orellanae; P. ghilianii olivaceus, P. ghilianiiavissimus and P. peruanus are proposed as synonyms of P. ghilianii; P. picturatusobscuratus is synonymized under P. laeviventris; P. picturatus nigromaculatus andP. picturatus var . intermedia are synonymized under P. picturatus and P. a t ra var . ornatis-sima get its lectotype designated and proposed as synonym of P. ater.

Assessment of a new infrared laser transillumination technology (808nm) for the detection of occlusal caries-an in vitro study

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Comparação entre soluções irrigadoras na endodontia: clorexidina x hipoclorito de sodio

The objective of this review was reporting an overview about the properties of two irrigating solutions, solution of sodium hypochlorite and chlorhexidine, used in the treatment of root canals. A solution must submit irrigating antimicrobial action, dissolve waste tissue, promote wetting to facilitate the instrumentation, and present biocompatibility with the adjacent tissues. The sodium hypochlorite used in different concentrations has been the solution of choice among professionals by presenting antimicrobial action and act as a solvent tissue. However, today, chlorhexidine has been widely used as an irrigating solution due to specific properties that enable its use, such as substantivity, antimicrobial effectiveness, and low toxicity. Thus the solution of chlorhexidine with different concentrations is presented as an alternative to irrigating solution for the treatment of root canals.

Inovação, competição internacional e transição hegemônica: a política científico-tecnológica dos Estados Unidos para evitar o declínio no século XXI

Pós-graduação em Relações Internacionais (UNESP - UNICAMP - PUC-SP) - FFC

Biological, physical and chemical properties at the Subtropical Shelf Front Zone in the SW Atlantic Continental Shelf

The physical aspects of the Subtropical Shelf Front (STSF) for the Southwest Atlantic Continental Shelf were previously described. However, only scarce data on the biology of the front is available in the literature. The main goal of this paper is to describe the physical, chemical and biological properties of the STSF found in winter 2003 and summer 2004. A cross-section was established at the historically determined location of the STSF. Nine stations were sampled in winter and seven in summer. Each section included a series of conductivity-temperature-depth (CTD) stations where water samples from selected depths were filtered for nutrient determination. Surface samples were taken for chlorophyll a (Chl-a) determination and plankton net tows carried out above and below the pycnocline. Results revealed that winter was marked by an inner-shelf salinity front and that the STSF was located on the mid-shelf The low salinity waters in the inner-shelf indicated a strong influence of freshwater, with high silicate (72 mu M), suspended matter (45 mg l(-1)), phosphate (2.70 mu M) and low nitrate (1.0 mu M) levels. Total dissolved nitrogen was relatively high (22.98 mu M), probably due to the elevated levels of organic compound contribution close to the continental margin. Surface Chl-a concentration decreased from coastal well-mixed waters, where values up to 8.0 mg m(-3) were registered, to offshore waters. Towards the open ocean, high subsurface nutrients values were observed, probably associated to South Atlantic Central Waters (SACW). Zooplankton and ichthyoplankton abundance followed the same trend; three different groups associated to the inner-, mid- and outer-shelf region were identified. During summer, diluted waters extended over the shelf to join the STSF in the upper layer; the concentration of inorganic nutrients decreased in shallow waters; however, high values were observed between 40 and 60 m and in deep offshore waters. Surface Chl-a ranged 0.07-1.5 mg m(-3); winter levels were higher. Three groups of zoo and ichthyoplankton, separated by the STSF, were also identified. Results of the study performed suggest that the influence of freshwater was stronger during winter and that abundance distribution of Chl-a, copepods and ichthyoplankton was related to the Plata Plume Waters (PPW), rather than to the presence of the STSF. During summer, when the presence of freshwater decreases, plankton interactions seem to take place in the STSF. (C) 2008 Elsevier Ltd. All rights reserved.

Vibro-Acoustography Beam Formation with Reconfigurable Arrays

In this work, we present a numerical study of the use of reconfigurable arrays (RCA) for vibro-acoustography (VA) beam formation. A parametric study of the aperture selection, number of channels, number of elements, focal distance, and steering parameters is presented to show the feasibility and evaluate the performance of VA imaging based on RCA. The transducer aperture was based on two concentric arrays driven by two continuous-wave or toneburst signals at slightly different frequencies. The mathematical model considers a homogeneous, isotropic, inviscid medium. The point-spread function of the system is calculated based on angular spectrum methods using the Fresnel approximation for rectangular sources. Simulations considering arrays with 50 x 50 to 200 x 200 elements with number of channels varying in the range of 32 to 128 are evaluated to identify the best configuration for VA. Advantages of two-dimensional and RCA arrays and aspects related to clinical importance of the RCA implementation in VA, such as spatial resolution, image frame rate, and commercial machine implementation, are discussed. It is concluded that RCA transducers can produce spatial resolution similar to confocal transducers and steering is possible in the elevational and azimuthal planes. Optimal settings for number of elements, number of channels, maximum steering, and focal distance are suggested for VA clinical applications. Furthermore, an optimization for beam steering based on the channel assignment is proposed for balancing the contribution of the two waves in the steered focus.

Desempenho do cultivo da berinjela em plantio direto submetida a diferentes lâminas de irrigação

Este estudo foi conduzido no município de Seropédica, RJ, com o objetivo de se determinar, em cultivo orgânico e sistema de plantio direto, a produtividade da cultura da berinjela sob diferentes lâminas de irrigação e sistemas de cultivo (consorciada com leguminosa e solteira). O delineamento experimental adotado foi o de blocos ao acaso, no esquema de parcela subdividida com quatro repetições caracterizando, na parcela, os tratamentos equivalentes à lâmina de irrigação (40; 70; 100 e 120% ETc) e, na subparcela, os sistemas de cultivo consorciado com feijão caupi e solteiro. Ambos os sistemas de cultivo não influenciaram a produtividade final da berinjela; no entanto, considerando as diferentes lâminas, a maior produtividade comercial foi de 65,41 Mg ha-1, obtida para uma lâmina total de 690,04 mm (106,8% ETc). A menor lâmina aplicada resultou em qualidade inferior dos frutos em relação às maiores lâminas, sendo a taxa de descarte dos frutos de 3 e 14%, respectivamente, para a maior e a menor lâmina.

Underlying Event measurements in pp collisions at root s=0.9 and 7 TeV with the ALICE experiment at the LHC

We present measurements of Underlying Event observables in pp collisions at root s = 0 : 9 and 7 TeV. The analysis is performed as a function of the highest charged-particle transverse momentum p(T),L-T in the event. Different regions are defined with respect to the azimuthal direction of the leading (highest transverse momentum) track: Toward, Transverse and Away. The Toward and Away regions collect the fragmentation products of the hardest partonic interaction. The Transverse region is expected to be most sensitive to the Underlying Event activity. The study is performed with charged particles above three different p(T) thresholds: 0.15, 0.5 and 1.0 GeV/c. In the Transverse region we observe an increase in the multiplicity of a factor 2-3 between the lower and higher collision energies, depending on the track p(T) threshold considered. Data are compared to PYTHIA 6.4, PYTHIA 8.1 and PHOJET. On average, all models considered underestimate the multiplicity and summed p(T) in the Transverse region by about 10-30%.

ROLE OF FOCAL ADHESION KINASE IN LUNG REMODELING OF ENDOTOXEMIC RATS

Despite significant advances in the care of critically ill patients, acute lung injury continues to be a complex problem with high mortality. The present study was designed to characterize early lipopolysaccharide (LPS)-induced pulmonary injury and small interfering RNA targeting focal adhesion kinase (FAK) as a possible therapeutic tool in the septic lung remodeling process. Male Wistar rats were assigned into endotoxemic group and control group. Total collagen deposition was performed 8, 16, and 24 h after LPS injection. Focal adhesion kinase expression, interstitial and vascular collagen deposition, and pulmonary mechanics were analyzed at 24 h. Intravenous injection of small interfering RNA targeting FAK was used to silence expression of the kinase in pulmonary tissue. Focal adhesion kinase, total collagen deposition, and pulmonary mechanics showed increased in LPS group. Types I, III, and V collagen showed increase in pulmonary parenchyma, but only type V increased in vessels 24 h after LPS injection. Focal adhesion kinase silencing prevented lung remodeling in pulmonary parenchyma at 24 h. In conclusion, LPS induced a precocious and important lung remodeling. There was fibrotic response in the lung characterized by increased amount in total and specific-type collagen. These data may explain the frequent clinical presentation during sepsis of reduced lung compliance, oxygen diffusion, and pulmonary hypertension. The fact that FAK silencing was protective against lung collagen deposition underscores the therapeutic potential of FAK targeting by small interfering RNA.

SMALL INTERFERING RNA TARGETING FOCAL ADHESION KINASE PREVENTS CARDIAC DYSFUNCTION IN ENDOTOXEMIA

Sepsis and septic shock are associated with cardiac depression. Cardiovascular instability is a major cause of death in patients with sepsis. Focal adhesion kinase (FAK) is a potential mediator of cardiomyocyte responses to oxidative and mechanical stress. Myocardial collagen deposition can affect cardiac compliance and contractility. The aim of the present study was to determine whether the silencing of FAK is protective against endotoxemia-induced alterations of cardiac structure and function. In male Wistar rats, endotoxemia was induced by intraperitoneal injection of lipopolysaccharide (10 mg/kg). Cardiac morphometry and function were studied in vivo by left ventricular catheterization and histology. Intravenous injection of small interfering RNA targeting FAK was used to silence myocardial expression of the kinase. The hearts of lipopolysaccharide-injected rats showed collagen deposition, increased matrix metalloproteinase 2 activity, and myocyte hypertrophy, as well as reduced 24-h +dP/dt and -dP/dt, together with hypotension, increased left ventricular end-diastolic pressure, and elevated levels of FAK (phosphorylated and unphosphorylated). Focal adhesion kinase silencing reduced the expression and activation of the kinase in cardiac tissue, as well as protecting against the increased collagen deposition, greater matrix metalloproteinase 2 activity, and reduced cardiac contractility that occur during endotoxemia. In conclusion, FAK is activated in endotoxemia, playing a role in cardiac remodeling and in the impairment of cardiac function. This kinase represents a potential therapeutic target for the protection of cardiac function in patients with sepsis.