In this article we give a classi cation of the binary, simple, ω−categorical structures with SU−rank 1 and trivial pregeometry. This is done both by showing that they satisfy certain extension properties, but also by noting that they may be approximated by the almost sure theory of some sets of nite structures equipped with a probability measure. This study give results about general almost sur...

For this paper, we consider the almost sure exponential stability of uncertain stochastic Hopfield neural networks based on subadditive measures. Firstly, deduce two corollaries, using Itô–Liu formula. Then, introduce concept for networks. Next, investigate networks, Lyapunov method, Liu inequality, lemma, and martingale inequality. In addition, prove sufficient conditions stability. Furthermor...