Coincidence properties for maps from the torus to the Klein bottle

The authors study the coincidence theory for pairs of maps from the Torus to the Klein bottle. Reidemeister classes and the Nielsen number are computed, and it is shown that any given pair of maps satisfies the Wecken property. The 1-parameter Wecken property is studied and a partial negative answer is derived. That is for all pairs of coincidence free maps a countable family of pairs of maps in the homotopy class is constructed such that no two members may be joined by a coincidence free homotopy.

A full family of multimodal maps on the circle

We exhibit a family of trigonometric polynomials inducing a family of 2m-multimodal maps on the circle which contains all relevant dynamical behavior.

Coincidence Wecken homotopies versus Wecken homotopies relative to a fixed homotopy in one of the maps

We study the 1-parameter Wecken problem versus the restricted Wecken problem, for coincidence free pairs of maps between surfaces. For this we use properties of the function space between two surfaces and of the pure braid group on two strings of a surface. When the target surface is either the 2-sphere or the torus it is known that the two problems are the same. We classify most pairs of homotopy classes of maps according to the answer of the two problems are either the same or different when the target is either projective space or the Klein bottle. Some partial results are given for surfaces of negative Euler characteristic. (C) 2010 Elsevier B.V. All rights reserved.

Henon-like maps with arbitrary stationary combinatorics

We extend the renormalization operator introduced in [A. de Carvalho, M. Martens and M. Lyubich. Renormalization in the Henon family, I: universality but non-rigidity. J. Stat. Phys. 121(5/6) (2005), 611-669] from period-doubling Henon-like maps to Henon-like maps with arbitrary stationary combinatorics. We show that the renonnalization picture also holds in this case if the maps are taken to be strongly dissipative. We study infinitely renormalizable maps F and show that they have an invariant Cantor set O on which F acts like a p-adic adding machine for some p > 1. We then show, as for the period-doubling case in the work of de Carvalho, Martens and Lyubich [Renormalization in the Henon family, I: universality but non-rigidity. J. Stat. Phys. 121(5/6) (2005), 611-669], that the sequence of renormalizations has a universal form, but that the invariant Cantor set O is non-rigid. We also show that O cannot possess a continuous invariant line field.

Equivariant Nielsen root theory for G-maps

Let X be a compact Hausdorff space, Y be a connected topological manifold, f : X -> Y be a map between closed manifolds and a is an element of Y. The vanishing of the Nielsen root number N(f; a) implies that f is homotopic to a root free map h, i.e., h similar to f and h(-1) (a) = empty set. In this paper, we prove an equivariant analog of this result for G-maps between G-spaces where G is a finite group. (C) 2010 Elsevier B.V. All rights reserved.

Use of self-organizing maps and molecular descriptors to predict the cytotoxic activity of sesquiterpene lactones

Some sesquiterpene lactones (SLs) are the active compounds of a great number of traditionally medicinal plants from the Asteraceae family and possess considerable cytotoxic activity. Several studies in vitro have shown the inhibitory activity against cells derived from human carcinoma of the nasopharynx (KB). Chemical studies showed that the cytotoxic activity is due to the reaction of alpha,beta-unsaturated carbonyl structures of the SLs with thiols, such as cysteine. These studies support the view that SLs inhibit tumour growth by selective alkylation of growth-regulatory biological macromolecules, such as key enzymes, which control cell division, thereby inhibiting a variety of cellular functions, which directs the cells into apoptosis. In this study we investigated a set of 55 different sesquiterpene lactones, represented by 5 skeletons (22 germacranolides, 6 elemanolides, 2 eudesmanolides, 16 guaianolides and nor-derivatives and 9 pseudoguaianolides), in respect to their cytotoxic properties. The experimental results and 3D molecular descriptors were submitted to Kohonen self-organizing map (SOM) to classify (training set) and predict (test set) the cytotoxic activity. From the obtained results, it was concluded that only the geometrical descriptors showed satisfactory values. The Kohonen map obtained after training set using 25 geometrical descriptors shows a very significant match, mainly among the inactive compounds (similar to 84%). Analyzing both groups, the percentage seen is high (83%). The test set shows the highest match, where 89% of the substances had their cytotoxic activity correctly predicted. From these results, important properties for the inhibition potency are discussed for the whole dataset and for subsets of the different structural skeletons. (C) 2008 Elsevier Masson SAS. All rights reserved.

Triggering Solar-Powered Vehicle Activated Signs using Self Organising Maps with K-means

Solar-powered vehicle activated signs (VAS) are speed warning signs powered by batteries that are recharged by solar panels. These signs are more desirable than other active warning signs due to the low cost of installation and the minimal maintenance requirements. However, one problem that can affect a solar-powered VAS is the limited power capacity available to keep the sign operational. In order to be able to operate the sign more efficiently, it is proposed that the sign be appropriately triggered by taking into account the prevalent conditions. Triggering the sign depends on many factors such as the prevailing speed limit, road geometry, traffic behaviour, the weather and the number of hours of daylight. The main goal of this paper is therefore to develop an intelligent algorithm that would help optimize the trigger point to achieve the best compromise between speed reduction and power consumption. Data have been systematically collected whereby vehicle speed data were gathered whilst varying the value of the trigger speed threshold. A two stage algorithm is then utilized to extract the trigger speed value. Initially the algorithm employs a Self-Organising Map (SOM), to effectively visualize and explore the properties of the data that is then clustered in the second stage using K-means clustering method. Preliminary results achieved in the study indicate that using a SOM in conjunction with K-means method is found to perform well as opposed to direct clustering of the data by K-means alone. Using a SOM in the current case helped the algorithm determine the number of clusters in the data set, which is a frequent problem in data clustering.

USGS Topographic Maps over a Hillshaded Digital Elevation Model

http://digitalcommons.colby.edu/atlasofmaine2005/1013/thumbnail.jpg

February 2008: Maps

http://digitalcommons.winthrop.edu/dacusdocsnews/1026/thumbnail.jpg

New developmental stages for common marmosets (Callithrix jacchus) using mass and age variables obtained by K-means algorithm and self-organizing maps (SOM)

LEÃO, Adriano de Castro; DÓRIA NETO, Adrião Duarte; SOUSA, Maria Bernardete Cordeiro de. New developmental stages for common marmosets (Callithrix jacchus) using mass and age variables obtained by K-means algorithm and self-organizing maps (SOM). Computers in Biology and Medicine, v. 39, p. 853-859, 2009

Repercussões da terapia comunitária no processo de trabalho na estratégia saúde da família: um estudo representacional

The Community Therapy (CT) is in a practice of therapeutic effect and may also be considered as a technology takes care of the therapeutic procedure group, whose purpose is to promote health, prevent illness, developed within primary care in mental health. In this study we sought to understand the social representations of health professionals who work with the Community Therapy, on use of the Family Health Strategy (FHS) in the city of Joao Pessoa. This is a field research with a qualitative view Moscovician Theory of Social Representations, held with seven professionals of the FHS, therapists of Community Health District II. The empirical data were obtained by carrying out two thematic therapies in April 2009, which were wheeled CT. It was used as a technique for analyzing the collective subject discourse, and the data presented through graphs, charts, maps, pictures and graphics and arranged in three stages: Subjects of the study, characterizing the study participants; Social Representations of Therapist Community presenting and discussing the social representations of therapists community studied on CT, and Consequences of Community Therapy at the Family Health Strategy, discussing the meanings attributed by the study participants about changes in FHS. Meanings were attributed to the CT by the therapists studied originated from the speeches, songs, drawings and constructed, and that presented by schematic illustration show the relation between the representations: life, listening, faith / light, change, transformation. The web, symbol of CT, appeared on the images constructed by the representatives of the study and represents the formation of bonds that allows the construction of social support networks that strengthen relationships among community. In the study, proved by professionals who have the meanings about the changes in the work process from the introduction of CT, and shown that the change took place within a more welcoming attitude on the part of professionals, the relationship between Team members had no significant changes, explained by the low compliance of team members to the CT in relation to the user front, the bond was strengthened, and this involved strengthening the role of the therapist community. It is recognized, thereby transforming the character of CT in building links with users, requiring, however, that the team is viewed as offering therapeutic services, not the professional therapist. Therefore, the CT for being a new phenomenon in health services and community belonging, it fits like a novelty which affects the construction of a representation dispute. Still, can contribute to the reorganization of mental health care in line with the new model of mental health care advocated by the Psychiatric Reform.

Aerofotos convencionais e imagens orbitais TM/LANDSAT no mapeamento morfopedológico em Santa Bárbara D'Oeste (SP)

Foram estudados, com o auxílio de fotografias aéreas, aspectos qualitativos e quantitativos do relevo e da rede de drenagem de solos de uma área de Santa Bárbara D'Oeste, SP. Esta região compreende 14.625 ha, onde foram selecionadas bacias hidrográficas de 3ª ordem de ramificação e amostras circulares de 5km². As unidades de mapeamento simples ou associações de solos são: Latossolo Vermelho Escuro, Podzólico, Litossolo + Podzólico, Terra Roxa Estruturada + Latossolo Roxo distrófico. Após a caracterização das feições fisiográficas, da área de ocorrência desses solos, foram realizados dois mapas morfopedológicos. No primeiro utilizou-se fotografias aéreas verticais pancromáticas na escala 1: 35.000 (data de 25/6/78) e no segundo imagens orbitais do sensor Thematic Mapper do LANDSAT-5, nas bandas 3, 4 e 5 e composição colorida 3/4/5 na escala 1: 100.000 (data de 12/9/91). As análises qualitativas e quantitativas do relevo (índice de declividade média) e rede de drenagem (densidade de drenagem, freqüência de rios, razão de textura) mostraram-se eficientes na diferenciação das unidades de solo estudadas, tanto em bacias hidrográficas como em amostras circulares. A utilização de fotografias aéreas, permitiu maior riqueza de detalhes na precisão dos limites das unidades de mapeamento e no maior número de unidades de mapeamento discriminadas em relação as imagens orbitais. A composição colorida 3/4/5 permitiu diferenciar os Latossolos argilosos dos Latossolos de textura média, assim como o Latossolo Húmico.

O tratamento cartográfico da informação em saúde do trabalhador

Apesar do reconhecimento da importância dos conhecimentos geográficos e do uso das ferramentas de análise espacial nos estudos da saúde coletiva, esse é um campo ainda pouco explorado pelos pesquisadores brasileiros. em levantamento realizado nas principais revistas científicas que veiculam os resultados de pesquisa em saúde do trabalhador, verificou-se o grande predomínio do uso de tabelas e gráficos como meio de organizar e apresentar os resultados obtidos, e o número reduzido de mapas. Para isso foram examinados todos os artigos publicados em quatro periódicos (Revista de Saúde Pública, Cadernos de Saúde Pública, Revista Saúde e Sociedade e Revista Brasileira de Epidemiologia) no período de 1967 a 2009. Uma vez analisado o conjunto de artigos selecionados no estudo, aqueles que utilizaram representações cartográficas receberam atenção especial. Verificou-se que, embora ainda pouco utilizadas, as ferramentas do geoprocessamento e da geoestatística com suporte em SIG abrem um campo de novas possibilidades no uso da cartografia temática em saúde do trabalhador no Brasil. Contudo, recomenda-se para os editores das revistas científicas o detalhamento de normas técnicas para publicação de figuras cartográficas, assim como a elaboração de pareceres específicos que possam auxiliar os autores em vista das modificações necessárias para a melhoria da qualidade da comunicação visual de mapas e da correlação espacial por meio do tratamento cartográfico.