Encontrados 4 documentos, a visualizar página 1 de 1
A interactividade na análise postural: um estudo para crianças do 1º ciclo do e...
Fidalgo, CarlaActualmente os educadores e professores devem adoptar uma nova postura no sentido da sua actividade profissional ser cada vez mais inovadora, além de potenciarem a aprendizagem dos seus alunos em diferentes áreas do conhecimento. A ergonomia é uma área que não se encontra incluída especificamente em nenhuma área curricular do 1º ciclo do Ensino Básico, no entanto, é de grande importância no sentido de prevenir ...
Diagonal minus tail forms and Lasserre's sufficient conditions for sums of squares
Fidalgo, Carla; Kovačec, AlexanderUsing our recent results on diagonal minus tail forms, we give an easily tested sufficient condition for a polynomial f(x) = P i2I fixi in IR[x] = IR[x1, . . . , xn], to be a sum of squares of polynomials (sos). We show that the class of polynomials passing this test is wider than the class passing Lasserre’s recent conditions. Another sufficient condition for f to be sos, like Lasserre’s piecewise linear in th...
Positive semidefinite diagonal minus tail forms are sums of squares
Fidalgo, Carla; Kovačec, AlexanderBy a diagonal minus tail form (of even degree) we understand a real homogeneous polynomial F(x1, ..., xn) = F(x) = D(x) − T(x), where the diagonal part D(x) is a sum of terms of the form bix2d i with all bi ≥ 0 and the tail T(x) a sum of terms ai1i2...inxi1 1 ...xin n with ai1i2...in > 0 and at least two i ≥ 1. We show that an arbitrary change of the signs of the tail terms of a positive semidefinite diagonal ...
Gauss elimination without pivoting for positive semidefinite matrices and an ap...
Fidalgo, CarlaIt is shown that Gauss elimination without pivoting is possible for positive semidefinite matrices. While we do not claim the method as numerically the most advisable, it allows to obtain sum of squares (sos) representations in a more direct way and with more theoretical insight, than by the usual text book proposals. The result extends a theorem attributed for definite quadratic forms to Lagrange and Beltrami ...
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