Adriano Maurício de Almeida Côrtes Universidade Federal do ... · We hereby certify that, Adriano...

We hereby certify that, Adriano Maurício de Almeida Côrtes, Universidade Federal do Rio de

Janeiro, participated in the event Trimester Program on Computational Manifolds and Applications

during its seminar week, held at IMPA, Rio de Janeiro - RJ, from October 17 to 21, 2011.

Rio de Janeiro, October 21, 2011.

Luiz Velho Organizing Committee

We hereby certify that, Aldo René Zang, Instituto de Matematica Pura e Aplicada, participated in the

event Trimester Program on Computational Manifolds and Applications during its seminar week, held at

IMPA, Rio de Janeiro - RJ, from October 17 to 21, 2011.

We hereby certify that, Allyson, Pontifícia Universidade Católica do Rio de Janeiro, participated in

the event Trimester Program on Computational Manifolds and Applications during its seminar week,

held at IMPA, Rio de Janeiro - RJ, from October 17 to 21, 2011.

We hereby certify that, André Maximo, Instituto de Matematica Pura e Aplicada, participated in the

We hereby certify that, Anselmo Antunes Montenegro, Universidade Federal Fluminense,

participated in the event Trimester Program on Computational Manifolds and Applications during its

seminar week, held at IMPA, Rio de Janeiro - RJ, from October 17 to 21, 2011.

We hereby certify that, Carlos Eduardo Vaisman Muniz, Universidade Federal Fluminense,

We hereby certify that, Cesar Palomo, Pontifícia Universidade Católica do Rio de Janeiro,

We hereby certify that, Chrystiano Barbosa de Souza Araújo, Pontifícia Universidade Católica do

Rio de Janeiro, participated in the event Trimester Program on Computational Manifolds and

Applications during its seminar week, held at IMPA, Rio de Janeiro - RJ, from October 17 to 21, 2011.

We hereby certify that, Claudio Silva, Polytechnic Institute of New York University, participated in

We hereby certify that, Dalia Melissa Bonilla Correa, Instituto de Matematica Pura e Aplicada,

We hereby certify that, Daniel dos Santos Marques, Pontifícia Universidade Católica do Rio de

Janeiro, participated in the event Trimester Program on Computational Manifolds and Applications

We hereby certify that, Dianna Xu, Bryn Mawr College, participated in the event Trimester Program on

Computational Manifolds and Applications during its seminar week, held at IMPA, Rio de Janeiro - RJ,

from October 17 to 21, 2011.

We hereby certify that, Diego Nehab, Instituto de Matematica Pura e Aplicada, participated in the

We hereby certify that, Dimas Martínez Morera, Universidade Federal de Alagoas, participated in the

We hereby certify that, Djalma Lúcio Soares da Silva, Instituto de Matematica Pura e Aplicada,

We hereby certify that, Douglas Cedrim Oliveira, Inst. de Ciências Matemáticas e de Computação,

We hereby certify that, Emilio Ashton Vital Brazil, University of Calgary, participated in the event

Trimester Program on Computational Manifolds and Applications during its seminar week, held at IMPA,

Rio de Janeiro - RJ, from October 17 to 21, 2011.

We hereby certify that, Erwan Renaut, Instituto de Matematica Pura e Aplicada, participated in the

We hereby certify that, Esdras Soares de Medeiros Filho, Universidade Federal do Ceará,

We hereby certify that, Fabian Andres Prada Nino, Instituto de Matematica Pura e Aplicada,

We hereby certify that, Felipe Moura de Carvalho, Programa de Engenharia de Sistemas e

Computação, Coppe/UFRJ, participated in the event Trimester Program on Computational Manifolds

and Applications during its seminar week, held at IMPA, Rio de Janeiro - RJ, from October 17 to 21,

We hereby certify that, Fernando Ferrari de Goes, California Institute of Technology, participated in

We hereby certify that, Francisco I. S. Ganacim, Instituto de Matematica Pura e Aplicada,

We hereby certify that, Francisco Jose Benavides Murillo, Instituto de Matematica Pura e

Aplicada, participated in the event Trimester Program on Computational Manifolds and Applications

We hereby certify that, Geovan Tavares, Pontifícia Universidade Católica do Rio de Janeiro,

We hereby certify that, Javier Lezama, Facultad de Matemática, Astronomía y Física, participated in

We hereby certify that, Jorge Stolfi, Unicamp - Instituto de Computação, participated in the event

We hereby certify that, Juliano Caldeira Kestenberg, Instituto de Matematica Pura e Aplicada,

We hereby certify that, Julio Lucio, Instituto de Matematica Pura e Aplicada, participated in the

We hereby certify that, Leandro Moraes Valle Cruz, Instituto de Matematica Pura e Aplicada,

We hereby certify that, Leonardo de Oliveira Carvalho, Instituto de Matematica Pura e Aplicada,

We hereby certify that, Leonardo Koller Sacht, Instituto de Matematica Pura e Aplicada,

We hereby certify that, Lis Ingrid Roque Lopes Custódio, Pontifícia Universidade Católica do Rio

de Janeiro, participated in the event Trimester Program on Computational Manifolds and Applications

We hereby certify that, Lucas Medeiros Reis, Instituto de Matematica Pura e Aplicada, participated

in the event Trimester Program on Computational Manifolds and Applications during its seminar week,

We hereby certify that, Lucio Ladislao Rodriguez, Instituto de Matematica Pura e Aplicada,

We hereby certify that, Luiz Henrique de Figueiredo, Instituto de Matematica Pura e Aplicada,

We hereby certify that, Luiz Velho, Instituto de Matematica Pura e Aplicada, participated in the event

We hereby certify that, Marcos Craizer, Pontifícia Universidade Católica do Rio de Janeiro,

We hereby certify that, Maria de Andrade Costa e Silva, Instituto de Matematica Pura e Aplicada,

We hereby certify that, Mattia Natali, University of Bergen, participated in the event Trimester

Program on Computational Manifolds and Applications during its seminar week, held at IMPA, Rio de

Janeiro - RJ, from October 17 to 21, 2011.

We hereby certify that, Pedro Grojsgold, Pontifícia Universidade Católica do Rio de Janeiro,

We hereby certify that, Ricardo Marroquim, Programa de Engenharia de Sistemas e Computação,

Coppe/UFRJ, participated in the event Trimester Program on Computational Manifolds and

Applications during its seminar week, held at IMPA, Rio de Janeiro - RJ, from October 17 to 21, 2011.

We hereby certify that, Sinesio Pesco, Pontifícia Universidade Católica do Rio de Janeiro,

We hereby certify that, Taís de Sá Pereira, Pontifícia Universidade Católica do Rio de Janeiro,

We hereby certify that, Tássio Knop de Castro, Instituto de Matematica Pura e Aplicada,

We hereby certify that, Thales Miranda de Almeida Vieira, Pontifícia Universidade Católica do Rio

de Janeiro, participated in the event Trimester Program on Computational Manifolds and Applications

We hereby certify that, Thomas Lewiner, Pontifícia Universidade Católica do Rio de Janeiro,

We hereby certify that, Vinícius Moreira Mello, Universidade Federal da Bahia, participated in the

Adriano Maurício de Almeida Côrtes Universidade Federal do ... · We hereby certify that, Adriano...

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Extension Principle Adriano Cruz ©2002 NCE e IM/UFRJ Adriano@nce.ufrj.br

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in T. Campello and M. Côrtes Neri (eds), Programa World ... · bolsa família’ in T. Campello and M. Côrtes Neri (eds), Programa Bolsa Família: ... livros/livros/livro_bolsafamilia_

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