Cohen and Grossberg (1983) studied an almost gradient system of ordinary differential equations with application to neural networks and used a Liapunov function, together with an invariance principle, to show that some equilibrium points attract solutions. Independently, Hopfield (1984) modeled a neural network by means of a system of ordinary differential equations which turn out to be a speci...

The interpretation of semiclassical gravity as an ensemble-average CFTs has provided much progress in understanding the factorization problem and information paradox. In this article, we consider averaging over boundary conditions two-dimensional conformal field theories (BCFTs). We show that plays important role not only producing wormhole contributions but also resolving following problem. ge...