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.

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