About a Vanishing Viscosity-Capillarity Method

We consider a class of nonlinear dissipative-dispersive perturbations of the scalar conservation law @tu + div f (u) = 01 and we study the convergence of the approximated solutions to its entropy solution. In particular, we obtain conditions under which the balance between dissipation and dispersion gives rise to the convergence (by DiPerna's measure-valued solution technique).

On lattices from combinatorial game theory modularity and a representation theorem: Finite case

We show that a self-generated set of combinatorial games, S, may not be hereditarily closed but, strong self-generation and hereditary closure are equivalent in the universe of short games. In [13], the question “Is there a set which will give an on-distributive but modular lattice?” appears. A useful necessary condition for the existence of a finite non-distributive modular L(S) is proved. We show the existence of S such that L(S) is modular and not distributive, exhibiting the first known example. More, we prove a Representation Theorem with Games that allows the generation of all finite lattices in game context. Finally, a computational tool for drawing lattices of games is presented.

Um café pela natureza, qual a melhor opção

O café é originário das florestas tropicais da Etiópia e do Sudão, crescendo sobre uma canópia diversa. Devido ao facto de haver uma tendência para o desaparecimento do sombreamento tradicional e consequente perda de biodiversidade, os sistemas de certificação oferecem a oportunidade de aproximar objectivos económicos, sociais e ambientais de modo a beneficiar os agricultores. Este estudo tem como objectivo dar a conhecer a todos os intervenientes da cadeia de custódia, principalmente aos consumidores, qual a certificação que podem optar por se a sua principal preocupação quando tomam um café for a natureza. Caracterizou-se o valor ecológico do sistema de produção sustentável e do sistema convencional. Analisaram-se e comparam-se os diferentes critérios ambientais dos sistemas de certificação, através da construção de uma matriz. Os resultados sugerem que a certificação que melhor responde ao pretendido é a Rainforest Alliance, no entanto, a dupla ou tripla certificação parecem ser também boas opções. ABSTRACT; Coffee originates in Ethiopia and Sudan’s ram forests, growing above a diverse canephora. Due to the fact that there is a tendency to the vanishing of traditional shadowing and consequent loss of biodiversity, certification schemes offer the opportunity of bringing together economical, social and environmental goals allowing benefits to farmers. This study aims to bring cognizance to every intervenient of the custody chain, mainly to consumers, which certification scheme to choose if their major concern when drinking a coffee is nature. The ecological value of sustainable production system has been characterized as well as the conventional system. Different environmental criteria of certification schemes have been analysed and compared trough the construction of an evaluation template. Results suggest that the certification that better suits the desired goal is the Rainforest Alliance, but double or triple certification also appear as options that might be followed.