Construction and decoding of BCH codes over finite commutative rings

BCH codes over arbitrary finite commutative rings with identity are derived in terms of their locator vector. The derivation is based on the factorization of xs -1 over the unit ring of an appropriate extension of the finite ring. We present an efficient decoding procedure, based on the modified Berlekamp-Massey algorithm, for these codes. The code construction and the decoding procedures are very similar to the BCH codes over finite integer rings. © 1999 Elsevier B.V. All rights reserved.

Evaluating residues and integrals through negative dimensional integration method (NDIM)

The standard way of evaluating residues and some real integrals through the residue theorem (Cauchy's theorem) is well-known and widely applied in many branches of Physics. Herein we present an alternative technique based on the negative dimensional integration method (NDIM) originally developed to handle Feynman integrals. The advantage of this new technique is that we need only to apply Gaussian integration and solve systems of linear algebraic equations, with no need to determine the poles themselves or their residues, as well as obtaining a whole class of results for differing orders of poles simultaneously.

Two matrix-based lattice construction techniques

Let m and n be integers greater than 1. Given lattices A and B of dimensions m and n, respectively, a technique for constructing a lattice from them of dimension m+n-1 is introduced. Furthermore, if A and B possess bases satisfying certain conditions, then a second technique yields a lattice of dimension m+n-2. The relevant parameters of the new lattices are given in terms of the respective parameters of A,B, and a lattice C isometric to a sublattice of A and B. Denser sphere packings than previously known ones in dimensions 52, 68, 84, 248, 520, and 4098 are obtained. © 2012 Elsevier Inc. All rights reserved.

Softwares educativos para alunos com deficiência intelectual: Estratégias utilizadas

The computer is present in everyday school life and using it with educational software must be mediated and planned in order for this resource to contribute to student learning, including those with intellectual disabilities (ID). Therefore, the aim was to propose specific computer activities for students with ID using educational software, and to quantify and analyze the technical and pedagogical strategies used. The participants were six students with ID enrolled in two public schools. To collect information we used observation protocols and a field journal. Data were analyzed quantitatively and qualitatively, based on the concepts of mediation and the zone of proximal development of cultural-historical theory. The results indicated that when the content developed in the computer classes were compatible with the proposed activities in the classroom, students with ID had opportunities to experience different activities that enable them to be successful. We noted that what enabled them to understand and correctly perform the proposed activities were the teaching strategies. Thus, we consider that technical knowledge about educational software and pedagogical knowledge about content that is being worked on, are insufficient to ensure that the proposed activity will contribute to the development of students with ID.

Interface Gráfica para o planejamento da expansão da transmissão de energia elétrica

Pós-graduação em Engenharia Elétrica - FEIS

A Organização do trabalho de uma equipe gestora e o desempenho escolar dos alunos

Pós-graduação em Educação Escolar - FCLAR

O jogo e a educação matemática: um estudo sobre as crenças e concepções dos professores de matemática quanto ao espaço do jogo no fazer pedagógico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Uma leitura da produção de significados matemáticos e não-matemáticos para dimensão

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Superfícies quádricas. Transformação das coordenadas

Pós-graduação em Matemática Universitária - IGCE

Atividade e sentido: análise de propostas de trabalho em língua portuguesa para as 5ªs e 6ªs séries do ensino fundamental

Pós-graduação em Educação - FFC

Protocolo para prescrição ou adaptação de recursos pedagógicos para alunos com paralisia cerebral

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Softwares educativos para alunos com deficiência intelectual: planejamento e utilização

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Instrumentalização pedagógica para avaliação de crianças com risco de dislexia

Pós-graduação em Educação - FFC

Caminhos para uma prática inclusiva de leitura e escrita na escola

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

A dinâmica das interações em sala de aula e a construção do conhecimento científico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)