8,923 research outputs found

    A class of cubic Rauzy Fractals

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    In this paper, we study arithmetical and topological properties for a class of Rauzy fractals Ra{\mathcal R}_a given by the polynomial x3ax2+x1x^3- ax^2+x-1 where a2a \geq 2 is an integer. In particular, we prove the number of neighbors of Ra{\mathcal R}_a in the periodic tiling is equal to 88. We also give explicitly an automaton that generates the boundary of Ra{\mathcal R}_a. As a consequence, we prove that R2{\mathcal R}_2 is homeomorphic to a topological disk

    Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold

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    We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family. In order to get our main result, we develop the Melnikov functions for a class of nonsmooth differential systems, which generalizes, up to order 2, some previous results in the literature. Whereas the first order Melnikov function for the nonsmooth case remains the same as for the smooth one (i.e. the first order averaged function) the second order Melnikov function for the nonsmooth case is different from the smooth one (i.e. the second order averaged function). We show that, in this case, a new term depending on the jump of discontinuity and on the geometry of the switching manifold is added to the second order averaged function

    Aprendizagem de cuidados complexos: um desafio no caminho da parentalidade

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    INTRODUÇÃO: Os pais são maioritáriamente as pessoas que prestam cuidados aos filhos. A transição para a parentalidade autónoma implica, nalgumas situações, a aquisição de competências ao nível da prestação de cuidados complexos. Este ensino, treino e demonstração são praticados durante o internamento das crianças com o objectivo de promover a autonomia familia

    The Public Accountability of Social Platforms: Lessons from a Study on Bots and Trolls in the Brexit Campaign

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    In this article we review our study of 13,493 bot-like Twitter accounts that tweeted the U.K. European Union membership referendum and disappeared from the platform after the ballot. We discuss the methodological challenges and lessons learned from a study that emerged in a period of increasing weaponization of social media and mounting concerns about information warfare. We address the challenges and shortcomings involved in bot detection, the extent to which disinformation campaigns on social media are effective, valid metrics for user exposure, activation, and engagement in the context of disinformation campaigns, unsupervised and supervised posting protocols, along with infrastructure and ethical issues associated with social sciences research based on large-scale social media data. We argue for improving researchers’ access to data associated with contentious issues and suggest that social media platforms should offer public Application Programming Interfaces to allow researchers access to content generated on their networks. We conclude with reflections on the relevance of this research agenda to public policy

    Biorreatores: aspectos gerais e sua utilização para cultura de tecidos vegetais.

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    Cultura de Tecidos Vegetais; Biorreatores na cultura de tecidos vegetais; Vantagens do uso de biorreatores em relação ao processo de micropropagação convencional; Problemas no uso de biorreatores e como contorná-los; Principais tipos de biorreatores; Principais parâmetros físicoquímicos em um biorreator; Formas e efeitos da agitação; Formas de transferência e efeitos do oxigênio dissolvido; Efeitos provocados pelas variações de CO2 e pH.bitstream/CPATSA-2009-09/40172/1/SDC214.pd
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