Ricerc@Sapienza

The paper aims to reflect on the juridical activity, related to the dimension of approximation, as interpreted by Giuseppe Terranova in Elogio dell'approssimazione, where the anthropological status of law is specifically taken up. Through the hermeneutical work, a jurist can bring out the approximation as an awareness of the real extent of the pursuit of justice, the priciple of equality and the sense of freedom.

We consider the Cauchy problem (Equation Presented) where - is a network and H is a positive homogeneous Hamiltonian which may change from edge to edge. In the first part of the paper, we prove that the Hopf-Lax type formula gives the (unique) viscosity solution of the problem. In the latter part of the paper we study a ame propagation model in a network and an optimal strategy to block a fire breaking up in some part of a pipeline; some numerical simulations are provided.

Research on weight systems used during the Bronze Age, prior to the introduction of writing,
generally assumes that the widespread use of metal as ‘commodity currency’ eventually resulted
in the adoption of widely shared systems of measurement. Many studies aimed at the identification
of recurrent weight values as multiples and/or submultiples of theoretical standard units. This
approach faces two limitations: 1) the absence of written sources, or at least statistically sound