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channels:
- defaults
dependencies:
- ipython
- ipywidgets
- matplotlib
- numpy
- scipy
- pandas
- lmfit
- numdifftools
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"value": "<hr><p>Este aplicativo foi projetado para gerar ajustes matemáticos das curvas epidêmicas da Covid-19 para países, bem como para estados/cidades do Brasil e dos EUA. Para uma descrição dos modelos, vide tutorial <a href=\"http://fisica.ufpr.br/modinterv/Tutorial_app_english.pdf\"> aqui</a>.</p> <hr> <p>O aplicativo foi desenvolvido pela Rede de Pesquisa Modinterv-Covid19 formada por pesquisadores das Universidades Federais do Paraná, Pernambuco e Sergipe. Este aplicativo está disponibilizado sob licença <a href=\"https://creativecommons.org/licenses/by-nc-nd/4.0/\">Creative Commons CC BY-NC-ND 4.0</a>.</p> <hr>",
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