We introduce the notion of hereditary G-compactness (with respect to interpretation). provide a sufficient condition for poset not be hereditarily G-compact, which we use show that any linear order is G-compact. Assuming long-standing conjecture about unstable NIP theories holds, this implies an theory G-compact if and only it stable (and by result Simon, holds unconditionally $$\aleph _0$$ -ca...

The goal of this study is to investigate the existence and uniqueness mild solutions, as well controllability outcomes, for random integrodifferential equations with state-dependent delay. We prove solutions in case where nonlinear term Carath?odory type meets various weakly compactness conditions. Our research based on Dardo?s fixed point theorem, M?nch?s a stochastic domain, Grimmer?s resolve...

This paper addresses the problem of on-line, writer-independent, unconstrained handwriting recognition. Based on Hidden Markov Models (HMM), which are successfully employed in speech recognition tasks, we focus on representations which address scalability, recognition performance and compactness. `Delayed' features are introduced which i n tegrate more global, handwriting specic knowledge into ...

In this paper we generalize the notion of Semi-continuity and MS-continuity and go on to study Semi-compactness, Semi-cocompactness, Semi-stability and Semi-costability in a ditopological texture space. We also extends the notion of Semi-compactness and Semi-cocompactness to a ditopological texture space modulo an ideal [13].