This symbol represents all possible states of a dynamical system.
This symbol represents all possible states of a dynamical system. Any state \( x_{\htmlClass{sdt-0000000118}{t}} \in \mathcal{X} \) observed at time \(\htmlClass{sdt-0000000118}{t}\) is a complete characterization of the system at that time.
The symbol \( \mathcal{X} \) represents the set of all possible states of a dynamical system, where any element \( x_{\htmlClass{sdt-0000000118}{t}} \in \mathcal{X} \) completely characterizes the system at time \(\htmlClass{sdt-0000000118}{t}\). Any information about the system's future behaviour should be inferable from \(x_{\htmlClass{sdt-0000000118}{t}}\) alone.