Final Considerations III
The requirements for the transition \( T_{i \rightarrow j} \) are
- A series of transitions must let us to get from any allowed state to any other by a finite series of transitions.
- The transitions cannot be grouped into sets of states, A, B, C ,... such that transitions from \( A \) go to \( B \), \( B \) to \( C \) etc and finally back to \( A \). With condition (a) satisfied, this condition will always be satisfied if either \( T_{i \rightarrow i} \neq 0 \) or there are some rejected moves.