NORDSIECK FORMS OF STIFFLY-STABLE ADAMS-TYPE CYCLIC METHODS THAT ARE INSENSITIVE TO STEP-SIZE CHANGES

In this paper we determine a matrix S and a vector l for stiffly-stable Adams-type cyclic methods that are insensitive to step size changes by using the definition of equivalent methods, (see, e.g. [l]), in the Nordsieck notation. The elements S and l, written in a parametric form, permit us to represent in Nordsieck form the methods that were constructed in [7] and the new methods that satisfy the above properties.

THE GREEN-FUNCTION IN THE BLOCH-NORDSIECK MODEL FOR QED(3)

The electron Green's function is obtained in the Bloch-Nordsieck approximation of three-dimensional QED. Dimensional regularization is used in the intermediate stages of calculation.

Evaluation of ten tropical grasses in the northwest region of the state of Sao-Paulo Brazil

The experiment was carried out in the northwest region of the State of São Paulo-Brazil to evaluate ten grasses recently introduced in the region. The grasses studied were: Cynodon nlemfuensis cv. Tifton 68, C dacrylon cv. Tifton 78, Cynodon spp. cv. Tifton 85, C. dactylon cv. Florakirk, C. nlemfuensis cv. Florico, C nlemfuensis cv. Florona, C dactylon cv. Coastcross, Paspalum notation cv. Tifton and NDF (717 to 749 g.kg(-1)) were observed in the Cynodon cultivars while lower values of CP (102 and 107 g.kg(-1)) and NDF (697 and 705 g.kg(-1)) were registered in the cvs. Marandu and Tanzania 1. The contents of ADF were higher in the the cvs. Tanzania 1 and Tifton 9. The average values of IVDMD differed (Ppound0.05) among grasses and were all above 564 g.kg(-1), except for cv. Tifton-9 (499 g.kg(-1)). The results obtained in this work allowed to conclude that the cvs. Tifton 78, Tifton 85, Coastcross, Florona, and Tanzania 1 are interesting options for pastures establishment in the northwest region of the State of São Paulo-Brazil.

Varenius e o conhecimento matemático do século XVII

Neste artigo, discutimos o contexto do desenvolvimento da Geografia que, no século XVII, liberou-se do seu papel nas diferentes fés cristãs, bem como a importância da cisão dos Protestantes, em Luteranos e Calvinistas, para o processo de secularização, e o conseguinte estabelecimento da Geografia como ciência moderna. Analisamos a contribuição fundamental do luterano Bernhard Varen, cuja obra Geografia Geral apresenta o paradigma dessa nova ciência. Naquela época, a Geografia era considerada um ramo da matemática, e esta obra nos dá indícios sobre notações e conceitos matemáticos utilizados naquele século. Analisamos, particularmente, o uso da notação decimal de números não inteiros e algumas aplicações de conceitos trigonométricos, comparando a edição original com as principais reedições desta obra.

Representation and analysis of soccer players' actions using principal components

This paper proposes the use of the Principal Components Analysis (PCA) method to represent and to analyse soccer players' actions distribution in the pitch. The seven games of the Brazilian National Team during the 2002 World Cup were analysed. The player's position actions were measured from videotapes in a computer interface. The results were: a) the graphical representation, given by two orthogonal segments in the two directions of maximal variability and centred at the mean of each player's actions position; b) the eccentricity measurement, given by the variability ratio and c) the actions zone area, given by variability product. The results showed that the individual characteristics of acting were well represented by the PCA, allowing comparisons among games and providing insights related to the tactical organisation of the team.

A REACHABILITY TREE FOR STATECHARTS AND ANALYSIS OF SOME PROPERTIES

Statecharts are an extension to finite state machines with capability for expressing hierarchical decomposition and parallelism. They also have a mechanism called history, to remember the last visit to a superstate. An algorithm to create a reachability tree for statecharts is presented. Also shown is how to use this tree to analyse dynamic properties of statecharts; reachability from any state configuration, usage of transitions, reinitiability, deadlocks, and valid sequence of events. Owing to its powerful notation, building a reachability tree for statecharts presents some difficulties, and we show how these problems were solved in the tree we propose.

VSSI (X)over-bar charts with sampling at fixed times

A standard (X) over bar chart for controlling the process mean takes samples of size no at specified, equally-spaced, fixed-time points. This article proposes a modification of the standard (X) over bar chart that allows one to take additional samples, bigger than no, between these fixed times. The additional samples are taken from the process when there is evidence that the process mean moved from target. Following the notation proposed by Reynolds (1996a) and Costs (1997) we shortly call the proposed (X) over bar chart as VSSIFT (X) over bar chart: where VSSIFT means variable sample size and sampling intervals with fixed times. The (X) over bar chart with the VSSIFT feature is easier to be administered than a standard VSSI (X) over bar chart that is not constrained to sample at the specified fixed times. The performances of the charts in detecting process mean shifts are comparable.

O uso idiomático dos instrumentos de percussão brasileiros: principais sistemas notacionais para o pandeiro brasileiro

This article adresses the idiomatic use of Brazilian percussion instruments and their notation on compositions. It uses the Brazilian "pandeiro", which is the principal instrument of this category, to make a technical and comparative analysis of the two main notational systems for this instrument, which are the models developed by Luiz D'Anunciacao and the other by Carlos Stasi. It also includes suggestions to help the development of this notation. It gives a list and description of several method books that could help percussionists, composers and arrangers to deepen their knowledge of Brazilian percussion.

VSSI X̄ charts with sampling at fixed times

A standard X̄ chart for controlling the process mean takes samples of size n0 at specified, equally-spaced, fixed-time points. This article proposes a modification of the standard X chart that allows one to take additional samples, bigger than n0, between these fixed times. The additional samples are taken from the process when there is evidence that the process mean moved from target. Following the notation proposed by Reynolds (1996a) and Costa (1997) we shortly call the proposed X chart as VSSIFT X chart where VSSIFT means variable sample size and sampling intervals with fixed times. The X chart with the VSSIFT feature is easier to be administered than a standard VSSI X chart that is not constrained to sample at the specified fixed times. The performances of the charts in detecting process mean shifts are comparable. Copyright © 1998 by Marcel Dekker, Inc.

A resolução de problemas no processo ensino-aprendizagem-avaliação de matemática na e além da sala de aula

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Análise de linguagens de modelagem de processos de um modelo de referência na cadeia de suprimentos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Aprendizagem da lecto-escrita musical ao piano: um diálogo com a psicogênese da língua escrita

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Pangea - Arquitetura semântica para a integração de dados e modelos geoespaciais na Web

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A interface música e linguística como instrumental metodológico para o estudo da prosódia do português arcaico

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Repertório barroco e suas possibilidades ao violão: aspectos teóricos e métodos transcritivos a partir das cordas dedilhadas

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)